@prefix skolem: <https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#>.
@prefix r: <http://www.w3.org/2000/10/swap/reason#>.
@prefix : <https://eyereasoner.github.io/eye/reasoning#>.
@prefix ccd: <https://eyereasoner.github.io/eye/reasoning/ccd#>.
@prefix e: <http://eulersharp.sourceforge.net/2003/03swap/log-rules#>.
@prefix math: <http://www.w3.org/2000/10/swap/math#>.
@prefix n3: <http://www.w3.org/2004/06/rei#>.
@prefix list: <http://www.w3.org/2000/10/swap/list#>.
@prefix var: <http://www.w3.org/2000/10/swap/var#>.

skolem:proof a r:Proof, r:Conjunction;
    r:component skolem:lemma1;
    r:component skolem:lemma2;
    r:component skolem:lemma3;
    r:component skolem:lemma4;
    r:component skolem:lemma5;
    r:component skolem:lemma6;
    r:component skolem:lemma7;
    r:component skolem:lemma8;
    r:component skolem:lemma9;
    r:component skolem:lemma10;
    r:component skolem:lemma11;
    r:component skolem:lemma12;
    r:component skolem:lemma13;
    r:component skolem:lemma14;
    r:component skolem:lemma15;
    r:component skolem:lemma16;
    r:component skolem:lemma17;
    r:gives {
        (:input1 "abc") ccd:model (:output1 2 3).
        (:input1 "xyz") ccd:model (:output1 2 1).
        (:input2 40) ccd:model (:output1 3 0).
        (:input2 60) ccd:model (:output1 2 4).
        (:input3 (0 1)) ccd:model (:output1 2 2).
        (:input3 (2 3)) ccd:model (:output1 1 3).
        (:input4 :v1) ccd:model (:output1 2 0).
        (:input4 :v2) ccd:model (:output1 1 1).
        (:input4 :v4) ccd:model (:output1 1 1).
        (:input4 :v3) ccd:model (:output1 1 2).
        (:input5 "b") ccd:model (:output1 2 0).
        (:input5 "c") ccd:model (:output1 0 3).
        (:input5 "a") ccd:model (:output1 1 1).
        (:input10 ("abc" 40)) ccd:model (:output1 1 0).
        (:input10 ("xyz" 60)) ccd:model (:output1 1 1).
        (:input10 ("abc" 60)) ccd:model (:output1 1 2).
        (:input10 ("xyz" 40)) ccd:model (:output1 1 0).
    }.

skolem:lemma1 a r:Inference;
    r:gives {
        (:input1 "abc") ccd:model (:output1 2 3).
    };
    r:evidence (
        skolem:lemma18
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_0 :input1 "abc".
            _:sk_0 :output1 1.
        } (1 1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_0 :input1 "abc".
            _:sk_0 :output1 0.
        } (1 1 1))}]
        [ a r:Fact; r:gives {(1 1) math:sum 2}]
        [ a r:Fact; r:gives {(1 1 1) math:sum 3}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "abc"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_0"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 2];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 3];
    r:rule skolem:lemma19.

skolem:lemma2 a r:Inference;
    r:gives {
        (:input1 "xyz") ccd:model (:output1 2 1).
    };
    r:evidence (
        skolem:lemma20
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_1 :input1 "xyz".
            _:sk_1 :output1 1.
        } (1 1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_1 :input1 "xyz".
            _:sk_1 :output1 0.
        } (1))}]
        [ a r:Fact; r:gives {(1 1) math:sum 2}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "xyz"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 2];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:rule skolem:lemma19.

skolem:lemma3 a r:Inference;
    r:gives {
        (:input2 40) ccd:model (:output1 3 0).
    };
    r:evidence (
        skolem:lemma21
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_2 :input2 40 .
            _:sk_2 :output1 1.
        } (1 1 1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_2 :input2 40 .
            _:sk_2 :output1 0.
        } ())}]
        [ a r:Fact; r:gives {(1 1 1) math:sum 3}]
        [ a r:Fact; r:gives {() math:sum 0}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input2"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 40];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_2"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 3];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 0];
    r:rule skolem:lemma19.

skolem:lemma4 a r:Inference;
    r:gives {
        (:input2 60) ccd:model (:output1 2 4).
    };
    r:evidence (
        skolem:lemma22
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_3 :input2 60 .
            _:sk_3 :output1 1.
        } (1 1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_3 :input2 60 .
            _:sk_3 :output1 0.
        } (1 1 1 1))}]
        [ a r:Fact; r:gives {(1 1) math:sum 2}]
        [ a r:Fact; r:gives {(1 1 1 1) math:sum 4}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input2"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo 60];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_3"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 2];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 4];
    r:rule skolem:lemma19.

skolem:lemma5 a r:Inference;
    r:gives {
        (:input3 (0 1)) ccd:model (:output1 2 2).
    };
    r:evidence (
        skolem:lemma23
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_4 :input3 (0 1).
            _:sk_4 :output1 1.
        } (1 1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_4 :input3 (0 1).
            _:sk_4 :output1 0.
        } (1 1))}]
        [ a r:Fact; r:gives {(1 1) math:sum 2}]
        [ a r:Fact; r:gives {(1 1) math:sum 2}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input3"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (0 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 2];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 2];
    r:rule skolem:lemma19.

skolem:lemma6 a r:Inference;
    r:gives {
        (:input3 (2 3)) ccd:model (:output1 1 3).
    };
    r:evidence (
        skolem:lemma24
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_5 :input3 (2 3).
            _:sk_5 :output1 1.
        } (1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_5 :input3 (2 3).
            _:sk_5 :output1 0.
        } (1 1 1))}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
        [ a r:Fact; r:gives {(1 1 1) math:sum 3}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input3"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (2 3)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_5"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 3];
    r:rule skolem:lemma19.

skolem:lemma7 a r:Inference;
    r:gives {
        (:input4 :v1) ccd:model (:output1 2 0).
    };
    r:evidence (
        skolem:lemma25
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_6 :input4 :v1.
            _:sk_6 :output1 1.
        } (1 1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_6 :input4 :v1.
            _:sk_6 :output1 0.
        } ())}]
        [ a r:Fact; r:gives {(1 1) math:sum 2}]
        [ a r:Fact; r:gives {() math:sum 0}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#v1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_6"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 2];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 0];
    r:rule skolem:lemma19.

skolem:lemma8 a r:Inference;
    r:gives {
        (:input4 :v2) ccd:model (:output1 1 1).
    };
    r:evidence (
        skolem:lemma26
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_7 :input4 :v2.
            _:sk_7 :output1 1.
        } (1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_7 :input4 :v2.
            _:sk_7 :output1 0.
        } (1))}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#v2"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_7"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:rule skolem:lemma19.

skolem:lemma9 a r:Inference;
    r:gives {
        (:input4 :v4) ccd:model (:output1 1 1).
    };
    r:evidence (
        skolem:lemma27
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_8 :input4 :v4.
            _:sk_8 :output1 1.
        } (1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_8 :input4 :v4.
            _:sk_8 :output1 0.
        } (1))}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#v4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_8"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:rule skolem:lemma19.

skolem:lemma10 a r:Inference;
    r:gives {
        (:input4 :v3) ccd:model (:output1 1 2).
    };
    r:evidence (
        skolem:lemma28
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_9 :input4 :v3.
            _:sk_9 :output1 1.
        } (1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_9 :input4 :v3.
            _:sk_9 :output1 0.
        } (1 1))}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
        [ a r:Fact; r:gives {(1 1) math:sum 2}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#v3"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_9"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 2];
    r:rule skolem:lemma19.

skolem:lemma11 a r:Inference;
    r:gives {
        (:input5 "b") ccd:model (:output1 2 0).
    };
    r:evidence (
        skolem:lemma29
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_10 :input5 "b".
            _:sk_10 :output1 1.
        } (1 1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_10 :input5 "b".
            _:sk_10 :output1 0.
        } ())}]
        [ a r:Fact; r:gives {(1 1) math:sum 2}]
        [ a r:Fact; r:gives {() math:sum 0}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input5"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "b"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_10"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 2];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 0];
    r:rule skolem:lemma19.

skolem:lemma12 a r:Inference;
    r:gives {
        (:input5 "c") ccd:model (:output1 0 3).
    };
    r:evidence (
        skolem:lemma30
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_11 :input5 "c".
            _:sk_11 :output1 1.
        } ())}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_11 :input5 "c".
            _:sk_11 :output1 0.
        } (1 1 1))}]
        [ a r:Fact; r:gives {() math:sum 0}]
        [ a r:Fact; r:gives {(1 1 1) math:sum 3}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input5"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "c"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_11"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 0];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 3];
    r:rule skolem:lemma19.

skolem:lemma13 a r:Inference;
    r:gives {
        (:input5 "a") ccd:model (:output1 1 1).
    };
    r:evidence (
        skolem:lemma31
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_12 :input5 "a".
            _:sk_12 :output1 1.
        } (1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_12 :input5 "a".
            _:sk_12 :output1 0.
        } (1))}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input5"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "a"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_12"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:rule skolem:lemma19.

skolem:lemma14 a r:Inference;
    r:gives {
        (:input10 ("abc" 40)) ccd:model (:output1 1 0).
    };
    r:evidence (
        skolem:lemma32
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_13 :input10 ("abc" 40).
            _:sk_13 :output1 1.
        } (1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_13 :input10 ("abc" 40).
            _:sk_13 :output1 0.
        } ())}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
        [ a r:Fact; r:gives {() math:sum 0}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input10"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo ("abc" 40)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_13"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 0];
    r:rule skolem:lemma19.

skolem:lemma15 a r:Inference;
    r:gives {
        (:input10 ("xyz" 60)) ccd:model (:output1 1 1).
    };
    r:evidence (
        skolem:lemma33
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_14 :input10 ("xyz" 60).
            _:sk_14 :output1 1.
        } (1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_14 :input10 ("xyz" 60).
            _:sk_14 :output1 0.
        } (1))}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input10"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo ("xyz" 60)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_14"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 1];
    r:rule skolem:lemma19.

skolem:lemma16 a r:Inference;
    r:gives {
        (:input10 ("abc" 60)) ccd:model (:output1 1 2).
    };
    r:evidence (
        skolem:lemma34
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_15 :input10 ("abc" 60).
            _:sk_15 :output1 1.
        } (1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_15 :input10 ("abc" 60).
            _:sk_15 :output1 0.
        } (1 1))}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
        [ a r:Fact; r:gives {(1 1) math:sum 2}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input10"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo ("abc" 60)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_15"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo (1 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 2];
    r:rule skolem:lemma19.

skolem:lemma17 a r:Inference;
    r:gives {
        (:input10 ("xyz" 40)) ccd:model (:output1 1 0).
    };
    r:evidence (
        skolem:lemma35
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_16 :input10 ("xyz" 40).
            _:sk_16 :output1 1.
        } (1))}]
        [ a r:Fact; r:gives {((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1) e:findall (1 {
            _:sk_16 :input10 ("xyz" 40).
            _:sk_16 :output1 0.
        } ())}]
        [ a r:Fact; r:gives {(1) math:sum 1}]
        [ a r:Fact; r:gives {() math:sum 0}]
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#output1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input10"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo ("xyz" 40)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo ((<https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3> <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>) 1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "_:sk_16"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo ()];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo 1];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_8"]; r:boundTo 0];
    r:rule skolem:lemma19.

skolem:lemma18 a r:Inference;
    r:gives {
        (:input1 "abc") ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input1}]
        skolem:lemma36
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "abc"];
    r:rule skolem:lemma37.

skolem:lemma19 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_0 var:x_1) ccd:output var:x_2.
            var:x_3 e:findall (1 {
                var:x_4 var:x_0 var:x_1.
                var:x_4 var:x_2 1.
            } var:x_5).
            var:x_3 e:findall (1 {
                var:x_4 var:x_0 var:x_1.
                var:x_4 var:x_2 0.
            } var:x_6).
            var:x_5 math:sum var:x_7.
            var:x_6 math:sum var:x_8.
        } => {
            (var:x_0 var:x_1) ccd:model (var:x_2 var:x_7 var:x_8).
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_query.n3>].

skolem:lemma20 a r:Inference;
    r:gives {
        (:input1 "xyz") ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input1}]
        skolem:lemma38
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "xyz"];
    r:rule skolem:lemma37.

skolem:lemma21 a r:Inference;
    r:gives {
        (:input2 40) ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input2}]
        skolem:lemma39
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input2"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 40];
    r:rule skolem:lemma37.

skolem:lemma22 a r:Inference;
    r:gives {
        (:input2 60) ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input2}]
        skolem:lemma40
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input2"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 60];
    r:rule skolem:lemma37.

skolem:lemma23 a r:Inference;
    r:gives {
        (:input3 (0 1)) ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input3}]
        skolem:lemma41
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input3"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (0 1)];
    r:rule skolem:lemma37.

skolem:lemma24 a r:Inference;
    r:gives {
        (:input3 (2 3)) ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input3}]
        skolem:lemma42
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input3"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_2"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo (2 3)];
    r:rule skolem:lemma37.

skolem:lemma25 a r:Inference;
    r:gives {
        (:input4 :v1) ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input4}]
        skolem:lemma43
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#v1"]];
    r:rule skolem:lemma37.

skolem:lemma26 a r:Inference;
    r:gives {
        (:input4 :v2) ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input4}]
        skolem:lemma44
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_2"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#v2"]];
    r:rule skolem:lemma37.

skolem:lemma27 a r:Inference;
    r:gives {
        (:input4 :v4) ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input4}]
        skolem:lemma45
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_5"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#v4"]];
    r:rule skolem:lemma37.

skolem:lemma28 a r:Inference;
    r:gives {
        (:input4 :v3) ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input4}]
        skolem:lemma46
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_6"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#v3"]];
    r:rule skolem:lemma37.

skolem:lemma29 a r:Inference;
    r:gives {
        (:input5 "b") ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input5}]
        skolem:lemma47
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input5"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "b"];
    r:rule skolem:lemma37.

skolem:lemma30 a r:Inference;
    r:gives {
        (:input5 "c") ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input5}]
        skolem:lemma48
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input5"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_2"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "c"];
    r:rule skolem:lemma37.

skolem:lemma31 a r:Inference;
    r:gives {
        (:input5 "a") ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input5}]
        skolem:lemma49
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input5"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_3"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo "a"];
    r:rule skolem:lemma37.

skolem:lemma32 a r:Inference;
    r:gives {
        (:input10 ("abc" 40)) ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input10}]
        skolem:lemma50
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input10"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo ("abc" 40)];
    r:rule skolem:lemma37.

skolem:lemma33 a r:Inference;
    r:gives {
        (:input10 ("xyz" 60)) ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input10}]
        skolem:lemma51
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input10"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo ("xyz" 60)];
    r:rule skolem:lemma37.

skolem:lemma34 a r:Inference;
    r:gives {
        (:input10 ("abc" 60)) ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input10}]
        skolem:lemma52
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input10"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_5"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo ("abc" 60)];
    r:rule skolem:lemma37.

skolem:lemma35 a r:Inference;
    r:gives {
        (:input10 ("xyz" 40)) ccd:output :output1.
    };
    r:evidence (
        [ a r:Fact; r:gives {(:input1 :input2 :input3 :input4 :input5 :input10) list:member :input10}]
        skolem:lemma53
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ n3:uri "https://eyereasoner.github.io/eye/reasoning#input10"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_8"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo ("xyz" 40)];
    r:rule skolem:lemma37.

skolem:lemma36 a r:Extraction;
    r:gives {
        skolem:e_1 :input1 "abc".
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma37 a r:Extraction;
    r:gives {
        @forAll var:x_0, var:x_1, var:x_2. {
            (:input1 :input2 :input3 :input4 :input5 :input10) list:member var:x_0.
            var:x_1 var:x_0 var:x_2.
        } => {
            (var:x_0 var:x_2) ccd:output :output1.
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_rules.n3>].

skolem:lemma38 a r:Extraction;
    r:gives {
        skolem:e_4 :input1 "xyz".
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma39 a r:Extraction;
    r:gives {
        skolem:e_1 :input2 40 .
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma40 a r:Extraction;
    r:gives {
        skolem:e_4 :input2 60 .
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma41 a r:Extraction;
    r:gives {
        skolem:e_1 :input3 (0 1).
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma42 a r:Extraction;
    r:gives {
        skolem:e_2 :input3 (2 3).
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma43 a r:Extraction;
    r:gives {
        skolem:e_1 :input4 :v1.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma44 a r:Extraction;
    r:gives {
        skolem:e_2 :input4 :v2.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma45 a r:Extraction;
    r:gives {
        skolem:e_5 :input4 :v4.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma46 a r:Extraction;
    r:gives {
        skolem:e_6 :input4 :v3.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma47 a r:Extraction;
    r:gives {
        skolem:e_1 :input5 "b".
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma48 a r:Extraction;
    r:gives {
        skolem:e_2 :input5 "c".
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma49 a r:Extraction;
    r:gives {
        skolem:e_3 :input5 "a".
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma50 a r:Inference;
    r:gives {
        skolem:e_1 :input10 ("abc" 40).
    };
    r:evidence (
        skolem:lemma36
        skolem:lemma39
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "abc"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 40];
    r:rule skolem:lemma54.

skolem:lemma51 a r:Inference;
    r:gives {
        skolem:e_4 :input10 ("xyz" 60).
    };
    r:evidence (
        skolem:lemma38
        skolem:lemma40
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_4"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "xyz"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 60];
    r:rule skolem:lemma54.

skolem:lemma52 a r:Inference;
    r:gives {
        skolem:e_5 :input10 ("abc" 60).
    };
    r:evidence (
        skolem:lemma55
        skolem:lemma56
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_5"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "abc"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 60];
    r:rule skolem:lemma54.

skolem:lemma53 a r:Inference;
    r:gives {
        skolem:e_8 :input10 ("xyz" 40).
    };
    r:evidence (
        skolem:lemma57
        skolem:lemma58
    );
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_0"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_8"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo "xyz"];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo 40];
    r:rule skolem:lemma54.

skolem:lemma54 a r:Extraction;
    r:gives {
        @forAll var:x_0, var:x_1, var:x_2. {
            var:x_0 :input1 var:x_1.
            var:x_0 :input2 var:x_2.
        } => {
            var:x_0 :input10 (var:x_1 var:x_2).
        }.
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/background_rules.n3>].

skolem:lemma55 a r:Extraction;
    r:gives {
        skolem:e_5 :input1 "abc".
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma56 a r:Extraction;
    r:gives {
        skolem:e_5 :input2 60 .
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma57 a r:Extraction;
    r:gives {
        skolem:e_8 :input1 "xyz".
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

skolem:lemma58 a r:Extraction;
    r:gives {
        skolem:e_8 :input2 40 .
    };
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/ccd/train_data.n3>].

