@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 log: <http://www.w3.org/2000/10/swap/log#>.
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#>.
@prefix : <http://example.org/#>.
@prefix list: <http://www.w3.org/2000/10/swap/list#>.
@prefix n3: <http://www.w3.org/2004/06/rei#>.
@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:gives [ log:graph (
        [ log:triple (skolem:e_22 log:triple (skolem:e_bn_6_1 rdf:type :Policy))]
        [ log:triple (skolem:e_23 log:triple (skolem:e_bn_6_1 :target (skolem:e_bn_1_1 skolem:e_bn_2_1 skolem:e_bn_3_1)))]
        [ log:triple (skolem:e_24 log:triple (skolem:e_bn_6_1 :duty skolem:e_bn_7_1))]
        [ log:triple (skolem:e_25 log:triple (skolem:e_bn_7_1 rdf:type :RemovalDuty))]
        [ log:triple (skolem:e_26 log:triple (skolem:e_bn_7_1 :after "P1M"))]
    )].

skolem:lemma1 a r:Inference;
    r:gives [ log:graph (
        [ log:triple (skolem:e_22 log:triple (skolem:e_bn_6_1 rdf:type :Policy))]
    )];
    r:evidence (
        skolem:lemma6
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_22)])]]
        skolem:lemma7
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_23)])]]
        skolem:lemma8
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_22)])]]
        skolem:lemma7
    );
    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_bn_4_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_22"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_bn_6_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_23"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (skolem:e_bn_1_1 skolem:e_bn_2_1 skolem:e_bn_3_1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_22"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (skolem:e_bn_6_1 rdf:type :Policy)];
    r:rule [ a r:Fact; r:gives [ log:graph ([ log:triple ([ log:graph (
        [ log:triple (var:x_0 log:graph var:x_1)]
        [ log:triple (var:x_1 list:member var:x_2)]
        [ log:triple (var:x_2 log:triple (var:x_3 rdf:type :Policy))]
        [ log:triple (var:x_1 list:member var:x_4)]
        [ log:triple (var:x_4 log:triple (var:x_3 :target var:x_5))]
        [ log:triple (var:x_1 list:member var:x_6)]
        [ log:triple (var:x_6 log:triple var:x_7)]
    )] log:implies [ log:graph (
        [ log:triple (var:x_6 log:triple var:x_7)]
    )])])]].

skolem:lemma2 a r:Inference;
    r:gives [ log:graph (
        [ log:triple (skolem:e_23 log:triple (skolem:e_bn_6_1 :target (skolem:e_bn_1_1 skolem:e_bn_2_1 skolem:e_bn_3_1)))]
    )];
    r:evidence (
        skolem:lemma6
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_22)])]]
        skolem:lemma7
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_23)])]]
        skolem:lemma8
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_23)])]]
        skolem:lemma8
    );
    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_bn_4_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_22"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_bn_6_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_23"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (skolem:e_bn_1_1 skolem:e_bn_2_1 skolem:e_bn_3_1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_23"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (skolem:e_bn_6_1 :target (skolem:e_bn_1_1 skolem:e_bn_2_1 skolem:e_bn_3_1))];
    r:rule [ a r:Fact; r:gives [ log:graph ([ log:triple ([ log:graph (
        [ log:triple (var:x_0 log:graph var:x_1)]
        [ log:triple (var:x_1 list:member var:x_2)]
        [ log:triple (var:x_2 log:triple (var:x_3 rdf:type :Policy))]
        [ log:triple (var:x_1 list:member var:x_4)]
        [ log:triple (var:x_4 log:triple (var:x_3 :target var:x_5))]
        [ log:triple (var:x_1 list:member var:x_6)]
        [ log:triple (var:x_6 log:triple var:x_7)]
    )] log:implies [ log:graph (
        [ log:triple (var:x_6 log:triple var:x_7)]
    )])])]].

skolem:lemma3 a r:Inference;
    r:gives [ log:graph (
        [ log:triple (skolem:e_24 log:triple (skolem:e_bn_6_1 :duty skolem:e_bn_7_1))]
    )];
    r:evidence (
        skolem:lemma6
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_22)])]]
        skolem:lemma7
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_23)])]]
        skolem:lemma8
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_24)])]]
        skolem:lemma9
    );
    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_bn_4_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_22"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_bn_6_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_23"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (skolem:e_bn_1_1 skolem:e_bn_2_1 skolem:e_bn_3_1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_24"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (skolem:e_bn_6_1 :duty skolem:e_bn_7_1)];
    r:rule [ a r:Fact; r:gives [ log:graph ([ log:triple ([ log:graph (
        [ log:triple (var:x_0 log:graph var:x_1)]
        [ log:triple (var:x_1 list:member var:x_2)]
        [ log:triple (var:x_2 log:triple (var:x_3 rdf:type :Policy))]
        [ log:triple (var:x_1 list:member var:x_4)]
        [ log:triple (var:x_4 log:triple (var:x_3 :target var:x_5))]
        [ log:triple (var:x_1 list:member var:x_6)]
        [ log:triple (var:x_6 log:triple var:x_7)]
    )] log:implies [ log:graph (
        [ log:triple (var:x_6 log:triple var:x_7)]
    )])])]].

skolem:lemma4 a r:Inference;
    r:gives [ log:graph (
        [ log:triple (skolem:e_25 log:triple (skolem:e_bn_7_1 rdf:type :RemovalDuty))]
    )];
    r:evidence (
        skolem:lemma6
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_22)])]]
        skolem:lemma7
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_23)])]]
        skolem:lemma8
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_25)])]]
        skolem:lemma10
    );
    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_bn_4_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_22"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_bn_6_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_23"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (skolem:e_bn_1_1 skolem:e_bn_2_1 skolem:e_bn_3_1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_25"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (skolem:e_bn_7_1 rdf:type :RemovalDuty)];
    r:rule [ a r:Fact; r:gives [ log:graph ([ log:triple ([ log:graph (
        [ log:triple (var:x_0 log:graph var:x_1)]
        [ log:triple (var:x_1 list:member var:x_2)]
        [ log:triple (var:x_2 log:triple (var:x_3 rdf:type :Policy))]
        [ log:triple (var:x_1 list:member var:x_4)]
        [ log:triple (var:x_4 log:triple (var:x_3 :target var:x_5))]
        [ log:triple (var:x_1 list:member var:x_6)]
        [ log:triple (var:x_6 log:triple var:x_7)]
    )] log:implies [ log:graph (
        [ log:triple (var:x_6 log:triple var:x_7)]
    )])])]].

skolem:lemma5 a r:Inference;
    r:gives [ log:graph (
        [ log:triple (skolem:e_26 log:triple (skolem:e_bn_7_1 :after "P1M"))]
    )];
    r:evidence (
        skolem:lemma6
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_22)])]]
        skolem:lemma7
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_23)])]]
        skolem:lemma8
        [ a r:Fact; r:gives [ log:graph ([ log:triple ((skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26) list:member skolem:e_26)])]]
        skolem:lemma11
    );
    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_bn_4_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_1"]; r:boundTo (skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_2"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_22"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_3"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_bn_6_1"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_4"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_23"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_5"]; r:boundTo (skolem:e_bn_1_1 skolem:e_bn_2_1 skolem:e_bn_3_1)];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_6"]; r:boundTo [ a r:Existential; n3:nodeId "https://eyereasoner.github.io/.well-known/genid/8b98b360-9a70-4845-b52c-c675af60ad01#e_26"]];
    r:binding [ r:variable [ n3:uri "http://www.w3.org/2000/10/swap/var#x_7"]; r:boundTo (skolem:e_bn_7_1 :after "P1M")];
    r:rule [ a r:Fact; r:gives [ log:graph ([ log:triple ([ log:graph (
        [ log:triple (var:x_0 log:graph var:x_1)]
        [ log:triple (var:x_1 list:member var:x_2)]
        [ log:triple (var:x_2 log:triple (var:x_3 rdf:type :Policy))]
        [ log:triple (var:x_1 list:member var:x_4)]
        [ log:triple (var:x_4 log:triple (var:x_3 :target var:x_5))]
        [ log:triple (var:x_1 list:member var:x_6)]
        [ log:triple (var:x_6 log:triple var:x_7)]
    )] log:implies [ log:graph (
        [ log:triple (var:x_6 log:triple var:x_7)]
    )])])]].

skolem:lemma6 a r:Extraction;
    r:gives [ log:graph (
        [ log:triple (skolem:e_bn_4_1 log:graph (skolem:e_22 skolem:e_23 skolem:e_24 skolem:e_25 skolem:e_26))]
    )];
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/arcus/ldes/ldes.ttl>].

skolem:lemma7 a r:Extraction;
    r:gives [ log:graph (
        [ log:triple (skolem:e_22 log:triple (skolem:e_bn_6_1 rdf:type :Policy))]
    )];
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/arcus/ldes/ldes.ttl>].

skolem:lemma8 a r:Extraction;
    r:gives [ log:graph (
        [ log:triple (skolem:e_23 log:triple (skolem:e_bn_6_1 :target (skolem:e_bn_1_1 skolem:e_bn_2_1 skolem:e_bn_3_1)))]
    )];
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/arcus/ldes/ldes.ttl>].

skolem:lemma9 a r:Extraction;
    r:gives [ log:graph (
        [ log:triple (skolem:e_24 log:triple (skolem:e_bn_6_1 :duty skolem:e_bn_7_1))]
    )];
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/arcus/ldes/ldes.ttl>].

skolem:lemma10 a r:Extraction;
    r:gives [ log:graph (
        [ log:triple (skolem:e_25 log:triple (skolem:e_bn_7_1 rdf:type :RemovalDuty))]
    )];
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/arcus/ldes/ldes.ttl>].

skolem:lemma11 a r:Extraction;
    r:gives [ log:graph (
        [ log:triple (skolem:e_26 log:triple (skolem:e_bn_7_1 :after "P1M"))]
    )];
    r:because [ a r:Parsing; r:source <https://eyereasoner.github.io/eye/reasoning/arcus/ldes/ldes.ttl>].

