@prefix math: <http://www.w3.org/2000/10/swap/math#>.
@prefix e: <http://eulersharp.sourceforge.net/2003/03swap/log-rules#>.
@prefix : <http://josd.github.io/eye/reasoning#>.
@prefix r: <http://www.w3.org/2000/10/swap/reason#>.
@prefix var: <http://josd.github.io/var#>.
@prefix skolem: <http://josd.github.io/.well-known/genid/3917894951695475063#>.
@prefix n3: <http://www.w3.org/2004/06/rei#>.

skolem:proof a r:Proof, r:Conjunction;
  r:component skolem:lemma1;
  r:gives {
    (18 13 8) :tak 13 .
  }.

skolem:lemma1 a r:Inference;
  r:gives {
    (18 13 8) :tak 13 .
  };
  r:evidence (
    skolem:lemma2
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 13];
  r:rule skolem:lemma3.

skolem:lemma2 a r:Inference;
  r:gives {
    (18 13 8) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 18) e:calculate 17}]
    skolem:lemma4
    [ a r:Fact; r:gives {("_Y-1" 13) e:calculate 12}]
    skolem:lemma5
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma6
    skolem:lemma7
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 13];
  r:rule skolem:lemma8.

skolem:lemma3 a r:Extraction;
  r:gives {
    @forAll var:x_0. {(18 13 8) :tak var:x_0} => {(18 13 8) :tak var:x_0}.
  };
  r:because [ a r:Parsing; r:source <http://josd.github.io/eye/reasoning/tak/takQ.n3>].

skolem:lemma4 a r:Inference;
  r:gives {
    (17 13 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 17) e:calculate 16}]
    skolem:lemma9
    [ a r:Fact; r:gives {("_Y-1" 13) e:calculate 12}]
    skolem:lemma10
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma11
    skolem:lemma12
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma5 a r:Inference;
  r:gives {
    (12 8 18) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma13
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma14
    [ a r:Fact; r:gives {("_Z-1" 18) e:calculate 17}]
    skolem:lemma15
    skolem:lemma16
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 12];
  r:rule skolem:lemma8.

skolem:lemma6 a r:Inference;
  r:gives {
    (7 18 13) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 18) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:rule skolem:lemma17.

skolem:lemma7 a r:Inference;
  r:gives {
    (9 12 13) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:rule skolem:lemma17.

skolem:lemma8 a r:Extraction;
  r:gives {
    @forAll var:x_0, var:x_1, var:x_2, var:x_3, var:x_4, var:x_5, var:x_6, var:x_7, var:x_8, var:x_9. {(var:x_0 var:x_2 var:x_3) :tak var:x_9} <= {("_X-1" var:x_0) e:calculate var:x_1.
     (var:x_1 var:x_2 var:x_3) :tak var:x_4.
     ("_Y-1" var:x_2) e:calculate var:x_5.
     (var:x_5 var:x_3 var:x_0) :tak var:x_6.
     ("_Z-1" var:x_3) e:calculate var:x_7.
     (var:x_7 var:x_0 var:x_2) :tak var:x_8.
     (var:x_4 var:x_6 var:x_8) :tak var:x_9}.
  };
  r:because [ a r:Parsing; r:source <http://josd.github.io/eye/reasoning/tak/tak.n3>].

skolem:lemma9 a r:Inference;
  r:gives {
    (16 13 8) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 16) e:calculate 15}]
    skolem:lemma18
    [ a r:Fact; r:gives {("_Y-1" 13) e:calculate 12}]
    skolem:lemma19
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma20
    skolem:lemma7
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 13];
  r:rule skolem:lemma8.

skolem:lemma10 a r:Inference;
  r:gives {
    (12 8 17) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma21
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma22
    [ a r:Fact; r:gives {("_Z-1" 17) e:calculate 16}]
    skolem:lemma23
    skolem:lemma24
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma11 a r:Inference;
  r:gives {
    (7 17 13) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 17) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:rule skolem:lemma17.

skolem:lemma12 a r:Inference;
  r:gives {
    (13 9 13) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 13) e:calculate 12}]
    skolem:lemma25
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma26
    [ a r:Fact; r:gives {("_Z-1" 13) e:calculate 12}]
    skolem:lemma27
    skolem:lemma28
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma13 a r:Inference;
  r:gives {
    (11 8 18) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma29
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma30
    [ a r:Fact; r:gives {("_Z-1" 18) e:calculate 17}]
    skolem:lemma31
    skolem:lemma32
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma14 a r:Inference;
  r:gives {
    (7 18 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 18) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma15 a r:Inference;
  r:gives {
    (17 12 8) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 17) e:calculate 16}]
    skolem:lemma23
    [ a r:Fact; r:gives {("_Y-1" 12) e:calculate 11}]
    skolem:lemma21
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma22
    skolem:lemma33
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 12];
  r:rule skolem:lemma8.

skolem:lemma16 a r:Inference;
  r:gives {
    (9 12 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma17 a r:Extraction;
  r:gives {
    @forAll var:x_0, var:x_1. @forSome var:x_2. {(var:x_0 var:x_1 var:x_2) :tak var:x_2} <= {("=<" var:x_0 var:x_1) e:derive true.
     ("!") e:derive true}.
  };
  r:because [ a r:Parsing; r:source <http://josd.github.io/eye/reasoning/tak/tak.n3>].

skolem:lemma18 a r:Inference;
  r:gives {
    (15 13 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 15) e:calculate 14}]
    skolem:lemma34
    [ a r:Fact; r:gives {("_Y-1" 13) e:calculate 12}]
    skolem:lemma35
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma36
    skolem:lemma12
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma19 a r:Inference;
  r:gives {
    (12 8 16) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma37
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma38
    [ a r:Fact; r:gives {("_Z-1" 16) e:calculate 15}]
    skolem:lemma39
    skolem:lemma16
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 12];
  r:rule skolem:lemma8.

skolem:lemma20 a r:Inference;
  r:gives {
    (7 16 13) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 16) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:rule skolem:lemma17.

skolem:lemma21 a r:Inference;
  r:gives {
    (11 8 17) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma40
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma41
    [ a r:Fact; r:gives {("_Z-1" 17) e:calculate 16}]
    skolem:lemma42
    skolem:lemma43
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 11];
  r:rule skolem:lemma8.

skolem:lemma22 a r:Inference;
  r:gives {
    (7 17 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 17) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma23 a r:Inference;
  r:gives {
    (16 12 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 16) e:calculate 15}]
    skolem:lemma39
    [ a r:Fact; r:gives {("_Y-1" 12) e:calculate 11}]
    skolem:lemma37
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma38
    skolem:lemma44
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma24 a r:Inference;
  r:gives {
    (11 12 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 11 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma25 a r:Inference;
  r:gives {
    (12 9 13) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma45
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma46
    [ a r:Fact; r:gives {("_Z-1" 13) e:calculate 12}]
    skolem:lemma47
    skolem:lemma24
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma26 a r:Inference;
  r:gives {
    (8 13 13) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:rule skolem:lemma17.

skolem:lemma27 a r:Inference;
  r:gives {
    (12 13 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 12 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma28 a r:Inference;
  r:gives {
    (9 13 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma29 a r:Inference;
  r:gives {
    (10 8 18) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 10) e:calculate 9}]
    skolem:lemma48
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma49
    [ a r:Fact; r:gives {("_Z-1" 18) e:calculate 17}]
    skolem:lemma50
    skolem:lemma51
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma30 a r:Inference;
  r:gives {
    (7 18 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 18) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma31 a r:Inference;
  r:gives {
    (17 11 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 17) e:calculate 16}]
    skolem:lemma42
    [ a r:Fact; r:gives {("_Y-1" 11) e:calculate 10}]
    skolem:lemma40
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma41
    skolem:lemma52
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma32 a r:Inference;
  r:gives {
    (10 11 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 10 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma33 a r:Inference;
  r:gives {
    (9 11 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma34 a r:Inference;
  r:gives {
    (14 13 8) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 14) e:calculate 13}]
    skolem:lemma53
    [ a r:Fact; r:gives {("_Y-1" 13) e:calculate 12}]
    skolem:lemma54
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma55
    skolem:lemma56
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 13];
  r:rule skolem:lemma8.

skolem:lemma35 a r:Inference;
  r:gives {
    (12 8 15) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma57
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma58
    [ a r:Fact; r:gives {("_Z-1" 15) e:calculate 14}]
    skolem:lemma59
    skolem:lemma24
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma36 a r:Inference;
  r:gives {
    (7 15 13) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 15) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:rule skolem:lemma17.

skolem:lemma37 a r:Inference;
  r:gives {
    (11 8 16) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma60
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma61
    [ a r:Fact; r:gives {("_Z-1" 16) e:calculate 15}]
    skolem:lemma62
    skolem:lemma32
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma38 a r:Inference;
  r:gives {
    (7 16 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 16) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma39 a r:Inference;
  r:gives {
    (15 12 8) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 15) e:calculate 14}]
    skolem:lemma59
    [ a r:Fact; r:gives {("_Y-1" 12) e:calculate 11}]
    skolem:lemma57
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma58
    skolem:lemma33
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 12];
  r:rule skolem:lemma8.

skolem:lemma40 a r:Inference;
  r:gives {
    (10 8 17) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 10) e:calculate 9}]
    skolem:lemma63
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma64
    [ a r:Fact; r:gives {("_Z-1" 17) e:calculate 16}]
    skolem:lemma65
    skolem:lemma66
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma41 a r:Inference;
  r:gives {
    (7 17 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 17) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma42 a r:Inference;
  r:gives {
    (16 11 8) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 16) e:calculate 15}]
    skolem:lemma62
    [ a r:Fact; r:gives {("_Y-1" 11) e:calculate 10}]
    skolem:lemma60
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma61
    skolem:lemma67
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 11];
  r:rule skolem:lemma8.

skolem:lemma43 a r:Inference;
  r:gives {
    (9 11 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma44 a r:Inference;
  r:gives {
    (12 9 12) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma68
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma69
    [ a r:Fact; r:gives {("_Z-1" 12) e:calculate 11}]
    skolem:lemma24
    skolem:lemma70
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma45 a r:Inference;
  r:gives {
    (11 9 13) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma71
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma72
    [ a r:Fact; r:gives {("_Z-1" 13) e:calculate 12}]
    skolem:lemma73
    skolem:lemma74
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 11];
  r:rule skolem:lemma8.

skolem:lemma46 a r:Inference;
  r:gives {
    (8 13 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma47 a r:Inference;
  r:gives {
    (12 12 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 12 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma48 a r:Inference;
  r:gives {
    (9 8 18) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 9) e:calculate 8}]
    skolem:lemma75
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma76
    [ a r:Fact; r:gives {("_Z-1" 18) e:calculate 17}]
    skolem:lemma77
    skolem:lemma78
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma49 a r:Inference;
  r:gives {
    (7 18 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 18) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma50 a r:Inference;
  r:gives {
    (17 10 8) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 17) e:calculate 16}]
    skolem:lemma65
    [ a r:Fact; r:gives {("_Y-1" 10) e:calculate 9}]
    skolem:lemma63
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma64
    skolem:lemma79
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma51 a r:Inference;
  r:gives {
    (9 10 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 10) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma52 a r:Inference;
  r:gives {
    (11 9 11) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma80
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma81
    [ a r:Fact; r:gives {("_Z-1" 11) e:calculate 10}]
    skolem:lemma32
    skolem:lemma32
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma53 a r:Inference;
  r:gives {
    (13 13 8) :tak 8 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 13 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:rule skolem:lemma17.

skolem:lemma54 a r:Inference;
  r:gives {
    (12 8 14) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma82
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma83
    [ a r:Fact; r:gives {("_Z-1" 14) e:calculate 13}]
    skolem:lemma84
    skolem:lemma16
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 12];
  r:rule skolem:lemma8.

skolem:lemma55 a r:Inference;
  r:gives {
    (7 14 13) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 14) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:rule skolem:lemma17.

skolem:lemma56 a r:Inference;
  r:gives {
    (8 12 13) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:rule skolem:lemma17.

skolem:lemma57 a r:Inference;
  r:gives {
    (11 8 15) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma85
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma86
    [ a r:Fact; r:gives {("_Z-1" 15) e:calculate 14}]
    skolem:lemma87
    skolem:lemma43
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 11];
  r:rule skolem:lemma8.

skolem:lemma58 a r:Inference;
  r:gives {
    (7 15 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 15) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma59 a r:Inference;
  r:gives {
    (14 12 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 14) e:calculate 13}]
    skolem:lemma84
    [ a r:Fact; r:gives {("_Y-1" 12) e:calculate 11}]
    skolem:lemma82
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma83
    skolem:lemma44
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma60 a r:Inference;
  r:gives {
    (10 8 16) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 10) e:calculate 9}]
    skolem:lemma88
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma89
    [ a r:Fact; r:gives {("_Z-1" 16) e:calculate 15}]
    skolem:lemma90
    skolem:lemma51
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma61 a r:Inference;
  r:gives {
    (7 16 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 16) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma62 a r:Inference;
  r:gives {
    (15 11 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 15) e:calculate 14}]
    skolem:lemma87
    [ a r:Fact; r:gives {("_Y-1" 11) e:calculate 10}]
    skolem:lemma85
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma86
    skolem:lemma52
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma63 a r:Inference;
  r:gives {
    (9 8 17) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 9) e:calculate 8}]
    skolem:lemma91
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma92
    [ a r:Fact; r:gives {("_Z-1" 17) e:calculate 16}]
    skolem:lemma93
    skolem:lemma94
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma64 a r:Inference;
  r:gives {
    (7 17 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 17) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma65 a r:Inference;
  r:gives {
    (16 10 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 16) e:calculate 15}]
    skolem:lemma90
    [ a r:Fact; r:gives {("_Y-1" 10) e:calculate 9}]
    skolem:lemma88
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma89
    skolem:lemma95
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma66 a r:Inference;
  r:gives {
    (9 10 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 10) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma67 a r:Inference;
  r:gives {
    (9 10 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 10) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma68 a r:Inference;
  r:gives {
    (11 9 12) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma96
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma97
    [ a r:Fact; r:gives {("_Z-1" 12) e:calculate 11}]
    skolem:lemma98
    skolem:lemma32
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma69 a r:Inference;
  r:gives {
    (8 12 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma70 a r:Inference;
  r:gives {
    (9 12 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma71 a r:Inference;
  r:gives {
    (10 9 13) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 10) e:calculate 9}]
    skolem:lemma99
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma100
    [ a r:Fact; r:gives {("_Z-1" 13) e:calculate 12}]
    skolem:lemma101
    skolem:lemma102
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma72 a r:Inference;
  r:gives {
    (8 13 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma73 a r:Inference;
  r:gives {
    (12 11 9) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma98
    [ a r:Fact; r:gives {("_Y-1" 11) e:calculate 10}]
    skolem:lemma96
    [ a r:Fact; r:gives {("_Z-1" 9) e:calculate 8}]
    skolem:lemma97
    skolem:lemma67
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 11];
  r:rule skolem:lemma8.

skolem:lemma74 a r:Inference;
  r:gives {
    (10 11 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 10 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma75 a r:Inference;
  r:gives {
    (8 8 18) :tak 18 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 8) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 18];
  r:rule skolem:lemma17.

skolem:lemma76 a r:Inference;
  r:gives {
    (7 18 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 18) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma77 a r:Inference;
  r:gives {
    (17 9 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 17) e:calculate 16}]
    skolem:lemma93
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma91
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma92
    skolem:lemma103
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma78 a r:Inference;
  r:gives {
    (18 9 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 18) e:calculate 17}]
    skolem:lemma94
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma104
    [ a r:Fact; r:gives {("_Z-1" 9) e:calculate 8}]
    skolem:lemma105
    skolem:lemma106
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma79 a r:Inference;
  r:gives {
    (9 9 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma80 a r:Inference;
  r:gives {
    (10 9 11) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 10) e:calculate 9}]
    skolem:lemma107
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma108
    [ a r:Fact; r:gives {("_Z-1" 11) e:calculate 10}]
    skolem:lemma109
    skolem:lemma110
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma81 a r:Inference;
  r:gives {
    (8 11 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma82 a r:Inference;
  r:gives {
    (11 8 14) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma111
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma112
    [ a r:Fact; r:gives {("_Z-1" 14) e:calculate 13}]
    skolem:lemma113
    skolem:lemma32
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma83 a r:Inference;
  r:gives {
    (7 14 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 14) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma84 a r:Inference;
  r:gives {
    (13 12 8) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 13) e:calculate 12}]
    skolem:lemma114
    [ a r:Fact; r:gives {("_Y-1" 12) e:calculate 11}]
    skolem:lemma115
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma116
    skolem:lemma117
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 12];
  r:rule skolem:lemma8.

skolem:lemma85 a r:Inference;
  r:gives {
    (10 8 15) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 10) e:calculate 9}]
    skolem:lemma118
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma119
    [ a r:Fact; r:gives {("_Z-1" 15) e:calculate 14}]
    skolem:lemma120
    skolem:lemma66
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma86 a r:Inference;
  r:gives {
    (7 15 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 15) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma87 a r:Inference;
  r:gives {
    (14 11 8) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 14) e:calculate 13}]
    skolem:lemma113
    [ a r:Fact; r:gives {("_Y-1" 11) e:calculate 10}]
    skolem:lemma111
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma112
    skolem:lemma67
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 11];
  r:rule skolem:lemma8.

skolem:lemma88 a r:Inference;
  r:gives {
    (9 8 16) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 9) e:calculate 8}]
    skolem:lemma121
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma122
    [ a r:Fact; r:gives {("_Z-1" 16) e:calculate 15}]
    skolem:lemma123
    skolem:lemma124
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma89 a r:Inference;
  r:gives {
    (7 16 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 16) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma90 a r:Inference;
  r:gives {
    (15 10 8) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 15) e:calculate 14}]
    skolem:lemma120
    [ a r:Fact; r:gives {("_Y-1" 10) e:calculate 9}]
    skolem:lemma118
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma119
    skolem:lemma79
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma91 a r:Inference;
  r:gives {
    (8 8 17) :tak 17 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 8) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 17];
  r:rule skolem:lemma17.

skolem:lemma92 a r:Inference;
  r:gives {
    (7 17 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 17) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma93 a r:Inference;
  r:gives {
    (16 9 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 16) e:calculate 15}]
    skolem:lemma123
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma121
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma122
    skolem:lemma125
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma94 a r:Inference;
  r:gives {
    (17 9 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 17) e:calculate 16}]
    skolem:lemma124
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma126
    [ a r:Fact; r:gives {("_Z-1" 9) e:calculate 8}]
    skolem:lemma127
    skolem:lemma103
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma95 a r:Inference;
  r:gives {
    (10 9 10) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 10) e:calculate 9}]
    skolem:lemma79
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma128
    [ a r:Fact; r:gives {("_Z-1" 10) e:calculate 9}]
    skolem:lemma66
    skolem:lemma109
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma96 a r:Inference;
  r:gives {
    (10 9 12) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 10) e:calculate 9}]
    skolem:lemma129
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma130
    [ a r:Fact; r:gives {("_Z-1" 12) e:calculate 11}]
    skolem:lemma110
    skolem:lemma131
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma97 a r:Inference;
  r:gives {
    (8 12 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma98 a r:Inference;
  r:gives {
    (11 11 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 11 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma99 a r:Inference;
  r:gives {
    (9 9 13) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:rule skolem:lemma17.

skolem:lemma100 a r:Inference;
  r:gives {
    (8 13 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma101 a r:Inference;
  r:gives {
    (12 10 9) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma110
    [ a r:Fact; r:gives {("_Y-1" 10) e:calculate 9}]
    skolem:lemma129
    [ a r:Fact; r:gives {("_Z-1" 9) e:calculate 8}]
    skolem:lemma130
    skolem:lemma132
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma102 a r:Inference;
  r:gives {
    (13 10 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 13) e:calculate 12}]
    skolem:lemma131
    [ a r:Fact; r:gives {("_Y-1" 10) e:calculate 9}]
    skolem:lemma133
    [ a r:Fact; r:gives {("_Z-1" 10) e:calculate 9}]
    skolem:lemma134
    skolem:lemma135
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma103 a r:Inference;
  r:gives {
    (9 17 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 17) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma104 a r:Inference;
  r:gives {
    (8 9 18) :tak 18 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 18];
  r:rule skolem:lemma17.

skolem:lemma105 a r:Inference;
  r:gives {
    (8 18 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 18) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma106 a r:Inference;
  r:gives {
    (9 18 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 18) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 18];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma107 a r:Inference;
  r:gives {
    (9 9 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma108 a r:Inference;
  r:gives {
    (8 11 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma109 a r:Inference;
  r:gives {
    (10 10 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 10 10) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma110 a r:Inference;
  r:gives {
    (11 10 9) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma109
    [ a r:Fact; r:gives {("_Y-1" 10) e:calculate 9}]
    skolem:lemma107
    [ a r:Fact; r:gives {("_Z-1" 9) e:calculate 8}]
    skolem:lemma108
    skolem:lemma136
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma111 a r:Inference;
  r:gives {
    (10 8 14) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 10) e:calculate 9}]
    skolem:lemma137
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma138
    [ a r:Fact; r:gives {("_Z-1" 14) e:calculate 13}]
    skolem:lemma139
    skolem:lemma51
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma112 a r:Inference;
  r:gives {
    (7 14 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 14) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma113 a r:Inference;
  r:gives {
    (13 11 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 13) e:calculate 12}]
    skolem:lemma140
    [ a r:Fact; r:gives {("_Y-1" 11) e:calculate 10}]
    skolem:lemma141
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma142
    skolem:lemma52
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma114 a r:Inference;
  r:gives {
    (12 12 8) :tak 8 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 12 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:rule skolem:lemma17.

skolem:lemma115 a r:Inference;
  r:gives {
    (11 8 13) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma141
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma142
    [ a r:Fact; r:gives {("_Z-1" 13) e:calculate 12}]
    skolem:lemma140
    skolem:lemma43
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 11];
  r:rule skolem:lemma8.

skolem:lemma116 a r:Inference;
  r:gives {
    (7 13 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma117 a r:Inference;
  r:gives {
    (8 11 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma118 a r:Inference;
  r:gives {
    (9 8 15) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 9) e:calculate 8}]
    skolem:lemma143
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma144
    [ a r:Fact; r:gives {("_Z-1" 15) e:calculate 14}]
    skolem:lemma145
    skolem:lemma146
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma119 a r:Inference;
  r:gives {
    (7 15 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 15) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma120 a r:Inference;
  r:gives {
    (14 10 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 14) e:calculate 13}]
    skolem:lemma139
    [ a r:Fact; r:gives {("_Y-1" 10) e:calculate 9}]
    skolem:lemma137
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma138
    skolem:lemma95
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma121 a r:Inference;
  r:gives {
    (8 8 16) :tak 16 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 8) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 16];
  r:rule skolem:lemma17.

skolem:lemma122 a r:Inference;
  r:gives {
    (7 16 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 16) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma123 a r:Inference;
  r:gives {
    (15 9 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 15) e:calculate 14}]
    skolem:lemma145
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma143
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma144
    skolem:lemma147
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma124 a r:Inference;
  r:gives {
    (16 9 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 16) e:calculate 15}]
    skolem:lemma146
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma148
    [ a r:Fact; r:gives {("_Z-1" 9) e:calculate 8}]
    skolem:lemma149
    skolem:lemma125
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma125 a r:Inference;
  r:gives {
    (9 16 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 16) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma126 a r:Inference;
  r:gives {
    (8 9 17) :tak 17 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 17];
  r:rule skolem:lemma17.

skolem:lemma127 a r:Inference;
  r:gives {
    (8 17 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 17) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 17];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma128 a r:Inference;
  r:gives {
    (8 10 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 10) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma129 a r:Inference;
  r:gives {
    (9 9 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma130 a r:Inference;
  r:gives {
    (8 12 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma131 a r:Inference;
  r:gives {
    (12 10 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma150
    [ a r:Fact; r:gives {("_Y-1" 10) e:calculate 9}]
    skolem:lemma151
    [ a r:Fact; r:gives {("_Z-1" 10) e:calculate 9}]
    skolem:lemma152
    skolem:lemma132
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma132 a r:Inference;
  r:gives {
    (10 12 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 10 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma133 a r:Inference;
  r:gives {
    (9 10 13) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 10) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:rule skolem:lemma17.

skolem:lemma134 a r:Inference;
  r:gives {
    (9 13 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma135 a r:Inference;
  r:gives {
    (10 13 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 10 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma136 a r:Inference;
  r:gives {
    (9 11 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma137 a r:Inference;
  r:gives {
    (9 8 14) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 9) e:calculate 8}]
    skolem:lemma153
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma154
    [ a r:Fact; r:gives {("_Z-1" 14) e:calculate 13}]
    skolem:lemma155
    skolem:lemma156
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma138 a r:Inference;
  r:gives {
    (7 14 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 14) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma139 a r:Inference;
  r:gives {
    (13 10 8) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 13) e:calculate 12}]
    skolem:lemma157
    [ a r:Fact; r:gives {("_Y-1" 10) e:calculate 9}]
    skolem:lemma158
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma159
    skolem:lemma79
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma140 a r:Inference;
  r:gives {
    (12 11 8) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma160
    [ a r:Fact; r:gives {("_Y-1" 11) e:calculate 10}]
    skolem:lemma161
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma162
    skolem:lemma163
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 11];
  r:rule skolem:lemma8.

skolem:lemma141 a r:Inference;
  r:gives {
    (10 8 13) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 10) e:calculate 9}]
    skolem:lemma158
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma159
    [ a r:Fact; r:gives {("_Z-1" 13) e:calculate 12}]
    skolem:lemma157
    skolem:lemma66
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma142 a r:Inference;
  r:gives {
    (7 13 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma143 a r:Inference;
  r:gives {
    (8 8 15) :tak 15 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 8) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 15];
  r:rule skolem:lemma17.

skolem:lemma144 a r:Inference;
  r:gives {
    (7 15 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 15) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma145 a r:Inference;
  r:gives {
    (14 9 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 14) e:calculate 13}]
    skolem:lemma155
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma153
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma154
    skolem:lemma164
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma146 a r:Inference;
  r:gives {
    (15 9 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 15) e:calculate 14}]
    skolem:lemma156
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma165
    [ a r:Fact; r:gives {("_Z-1" 9) e:calculate 8}]
    skolem:lemma166
    skolem:lemma147
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma147 a r:Inference;
  r:gives {
    (9 15 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 15) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma148 a r:Inference;
  r:gives {
    (8 9 16) :tak 16 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 16];
  r:rule skolem:lemma17.

skolem:lemma149 a r:Inference;
  r:gives {
    (8 16 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 16) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 16];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma150 a r:Inference;
  r:gives {
    (11 10 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma167
    [ a r:Fact; r:gives {("_Y-1" 10) e:calculate 9}]
    skolem:lemma67
    [ a r:Fact; r:gives {("_Z-1" 10) e:calculate 9}]
    skolem:lemma136
    skolem:lemma168
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma151 a r:Inference;
  r:gives {
    (9 10 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 10) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma152 a r:Inference;
  r:gives {
    (9 12 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma153 a r:Inference;
  r:gives {
    (8 8 14) :tak 14 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 8) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 14];
  r:rule skolem:lemma17.

skolem:lemma154 a r:Inference;
  r:gives {
    (7 14 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 14) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma155 a r:Inference;
  r:gives {
    (13 9 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 13) e:calculate 12}]
    skolem:lemma169
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma170
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma171
    skolem:lemma28
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma156 a r:Inference;
  r:gives {
    (14 9 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 14) e:calculate 13}]
    skolem:lemma172
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma173
    [ a r:Fact; r:gives {("_Z-1" 9) e:calculate 8}]
    skolem:lemma174
    skolem:lemma164
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma157 a r:Inference;
  r:gives {
    (12 10 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma175
    [ a r:Fact; r:gives {("_Y-1" 10) e:calculate 9}]
    skolem:lemma176
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma177
    skolem:lemma95
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma158 a r:Inference;
  r:gives {
    (9 8 13) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 9) e:calculate 8}]
    skolem:lemma170
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma171
    [ a r:Fact; r:gives {("_Z-1" 13) e:calculate 12}]
    skolem:lemma169
    skolem:lemma172
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma159 a r:Inference;
  r:gives {
    (7 13 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma160 a r:Inference;
  r:gives {
    (11 11 8) :tak 8 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 11 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:rule skolem:lemma17.

skolem:lemma161 a r:Inference;
  r:gives {
    (10 8 12) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 10) e:calculate 9}]
    skolem:lemma176
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma177
    [ a r:Fact; r:gives {("_Z-1" 12) e:calculate 11}]
    skolem:lemma175
    skolem:lemma51
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma162 a r:Inference;
  r:gives {
    (7 12 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma163 a r:Inference;
  r:gives {
    (8 10 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 10) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma164 a r:Inference;
  r:gives {
    (9 14 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 14) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma165 a r:Inference;
  r:gives {
    (8 9 15) :tak 15 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 15];
  r:rule skolem:lemma17.

skolem:lemma166 a r:Inference;
  r:gives {
    (8 15 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 15) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 15];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma167 a r:Inference;
  r:gives {
    (10 10 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 10 10) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma168 a r:Inference;
  r:gives {
    (10 11 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 10 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma169 a r:Inference;
  r:gives {
    (12 9 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma178
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma179
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma180
    skolem:lemma70
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma170 a r:Inference;
  r:gives {
    (8 8 13) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 8) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:rule skolem:lemma17.

skolem:lemma171 a r:Inference;
  r:gives {
    (7 13 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma172 a r:Inference;
  r:gives {
    (13 9 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 13) e:calculate 12}]
    skolem:lemma181
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma182
    [ a r:Fact; r:gives {("_Z-1" 9) e:calculate 8}]
    skolem:lemma183
    skolem:lemma28
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma173 a r:Inference;
  r:gives {
    (8 9 14) :tak 14 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 14];
  r:rule skolem:lemma17.

skolem:lemma174 a r:Inference;
  r:gives {
    (8 14 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 14) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 14];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma175 a r:Inference;
  r:gives {
    (11 10 8) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma184
    [ a r:Fact; r:gives {("_Y-1" 10) e:calculate 9}]
    skolem:lemma185
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma186
    skolem:lemma187
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 10];
  r:rule skolem:lemma8.

skolem:lemma176 a r:Inference;
  r:gives {
    (9 8 12) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 9) e:calculate 8}]
    skolem:lemma179
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma180
    [ a r:Fact; r:gives {("_Z-1" 12) e:calculate 11}]
    skolem:lemma178
    skolem:lemma181
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma177 a r:Inference;
  r:gives {
    (7 12 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma178 a r:Inference;
  r:gives {
    (11 9 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma188
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma189
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma190
    skolem:lemma191
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma179 a r:Inference;
  r:gives {
    (8 8 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 8) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma180 a r:Inference;
  r:gives {
    (7 12 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma181 a r:Inference;
  r:gives {
    (12 9 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 12) e:calculate 11}]
    skolem:lemma192
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma193
    [ a r:Fact; r:gives {("_Z-1" 9) e:calculate 8}]
    skolem:lemma194
    skolem:lemma70
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma182 a r:Inference;
  r:gives {
    (8 9 13) :tak 13 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 13];
  r:rule skolem:lemma17.

skolem:lemma183 a r:Inference;
  r:gives {
    (8 13 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 13) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 13];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma184 a r:Inference;
  r:gives {
    (10 10 8) :tak 8 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 10 10) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:rule skolem:lemma17.

skolem:lemma185 a r:Inference;
  r:gives {
    (9 8 11) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 9) e:calculate 8}]
    skolem:lemma189
    [ a r:Fact; r:gives {("_Y-1" 8) e:calculate 7}]
    skolem:lemma190
    [ a r:Fact; r:gives {("_Z-1" 11) e:calculate 10}]
    skolem:lemma188
    skolem:lemma192
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma186 a r:Inference;
  r:gives {
    (7 11 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma187 a r:Inference;
  r:gives {
    (8 9 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma188 a r:Inference;
  r:gives {
    (10 9 8) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 10) e:calculate 9}]
    skolem:lemma195
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma196
    [ a r:Fact; r:gives {("_Z-1" 8) e:calculate 7}]
    skolem:lemma197
    skolem:lemma198
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma189 a r:Inference;
  r:gives {
    (8 8 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 8) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma190 a r:Inference;
  r:gives {
    (7 11 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma191 a r:Inference;
  r:gives {
    (9 11 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma192 a r:Inference;
  r:gives {
    (11 9 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 11) e:calculate 10}]
    skolem:lemma199
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma200
    [ a r:Fact; r:gives {("_Z-1" 9) e:calculate 8}]
    skolem:lemma201
    skolem:lemma191
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma193 a r:Inference;
  r:gives {
    (8 9 12) :tak 12 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 12];
  r:rule skolem:lemma17.

skolem:lemma194 a r:Inference;
  r:gives {
    (8 12 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 12) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 12];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma195 a r:Inference;
  r:gives {
    (9 9 8) :tak 8 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 8];
  r:rule skolem:lemma17.

skolem:lemma196 a r:Inference;
  r:gives {
    (8 8 10) :tak 10 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 8) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 10];
  r:rule skolem:lemma17.

skolem:lemma197 a r:Inference;
  r:gives {
    (7 10 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 7 10) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 7];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma198 a r:Inference;
  r:gives {
    (8 10 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 10) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma199 a r:Inference;
  r:gives {
    (10 9 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("_X-1" 10) e:calculate 9}]
    skolem:lemma202
    [ a r:Fact; r:gives {("_Y-1" 9) e:calculate 8}]
    skolem:lemma187
    [ a r:Fact; r:gives {("_Z-1" 9) e:calculate 8}]
    skolem:lemma198
    skolem:lemma66
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_4"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_3"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_5"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_6"]; r:boundTo 10];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_7"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_8"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_9"]; r:boundTo 9];
  r:rule skolem:lemma8.

skolem:lemma200 a r:Inference;
  r:gives {
    (8 9 11) :tak 11 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 11];
  r:rule skolem:lemma17.

skolem:lemma201 a r:Inference;
  r:gives {
    (8 11 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 8 11) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 8];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 11];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

skolem:lemma202 a r:Inference;
  r:gives {
    (9 9 9) :tak 9 .
  };
  r:evidence (
    [ a r:Fact; r:gives {("=<" 9 9) e:derive true}]
    [ a r:Fact; r:gives {("!") e:derive true}]
  );
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_0"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_1"]; r:boundTo 9];
  r:binding [ r:variable [ n3:uri "http://josd.github.io/var#x_2"]; r:boundTo 9];
  r:rule skolem:lemma17.

