TSTP Solution File: SET684+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET684+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:35:01 EDT 2023
% Result : Theorem 4.67s 1.01s
% Output : CNFRefutation 4.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SET684+3 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n001.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 10:52:45 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 4.67/1.01 % Refutation found
% 4.67/1.01 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.67/1.01 % SZS output start CNFRefutation for theBenchmark
% 4.67/1.01 fof(f1,axiom,(
% 4.67/1.01 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,binary_relation_type)=> (! [E] :( ilf_type(E,binary_relation_type)=> ( member(ordered_pair(B,C),compose(D,E))<=> (? [F] :( ilf_type(F,set_type)& member(ordered_pair(B,F),D)& member(ordered_pair(F,C),E) ) )) ) )) )) )) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f2,axiom,(
% 4.67/1.01 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,set_type)=> (! [F] :( ilf_type(F,relation_type(B,C))=> ( member(ordered_pair(D,E),F)=> ( member(D,B)& member(E,C) ) ) ) )) )) )) )) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f3,axiom,(
% 4.67/1.01 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,set_type)=> (! [F] :( ilf_type(F,set_type)=> ( F = ordered_pair(D,E)<=> F = unordered_pair(unordered_pair(D,E),singleton(D)) ) ) )) )) )) )) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f5,axiom,(
% 4.67/1.01 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( (! [D] :( ilf_type(D,subset_type(cross_product(B,C)))=> ilf_type(D,relation_type(B,C)) ))& (! [E] :( ilf_type(E,relation_type(B,C))=> ilf_type(E,subset_type(cross_product(B,C))) ) )) ) )) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f7,axiom,(
% 4.67/1.01 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f9,axiom,(
% 4.67/1.01 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f15,axiom,(
% 4.67/1.01 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f16,axiom,(
% 4.67/1.01 (? [B] : ilf_type(B,binary_relation_type) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f22,axiom,(
% 4.67/1.01 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( member(B,power_set(C))<=> (! [D] :( ilf_type(D,set_type)=> ( member(D,B)=> member(D,C) ) ) )) ) )) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f23,axiom,(
% 4.67/1.01 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f26,axiom,(
% 4.67/1.01 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,subset_type(cross_product(B,C)))=> relation_like(D) ) )) )) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f27,axiom,(
% 4.67/1.01 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(B,C))=> (! [F] :( ilf_type(F,relation_type(C,D))=> compose5(B,C,D,E,F) = compose(E,F) ) )) )) )) )) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f28,axiom,(
% 4.67/1.01 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(B,C))=> (! [F] :( ilf_type(F,relation_type(C,D))=> ilf_type(compose5(B,C,D,E,F),relation_type(B,D)) ) )) )) )) )) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f29,axiom,(
% 4.67/1.01 (! [B] : ilf_type(B,set_type) )),
% 4.67/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.01 fof(f30,conjecture,(
% 4.67/1.01 (! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ( ~ empty(D)& ilf_type(D,set_type) )=> (! [E] :( ilf_type(E,relation_type(B,C))=> (! [F] :( ilf_type(F,relation_type(C,D))=> (! [G] :( ilf_type(G,member_type(B))=> (! [H] :( ilf_type(H,member_type(D))=> ( member(ordered_pair(G,H),compose5(B,C,D,E,F))<=> (? [I] :( ilf_type(I,member_type(C))& member(ordered_pair(G,I),E)& member(ordered_pair(I,H),F) ) )) ) )) )) )) )) )) )) )),
% 4.67/1.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.02 fof(f31,negated_conjecture,(
% 4.67/1.02 ~((! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ( ~ empty(D)& ilf_type(D,set_type) )=> (! [E] :( ilf_type(E,relation_type(B,C))=> (! [F] :( ilf_type(F,relation_type(C,D))=> (! [G] :( ilf_type(G,member_type(B))=> (! [H] :( ilf_type(H,member_type(D))=> ( member(ordered_pair(G,H),compose5(B,C,D,E,F))<=> (? [I] :( ilf_type(I,member_type(C))& member(ordered_pair(G,I),E)& member(ordered_pair(I,H),F) ) )) ) )) )) )) )) )) )) ))),
% 4.67/1.02 inference(negated_conjecture,[status(cth)],[f30])).
% 4.67/1.02 fof(f32,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|(![E]: (~ilf_type(E,binary_relation_type)|(member(ordered_pair(B,C),compose(D,E))<=>(?[F]: ((ilf_type(F,set_type)&member(ordered_pair(B,F),D))&member(ordered_pair(F,C),E)))))))))))),
% 4.67/1.02 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 4.67/1.02 fof(f33,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|(![E]: (~ilf_type(E,binary_relation_type)|((~member(ordered_pair(B,C),compose(D,E))|(?[F]: ((ilf_type(F,set_type)&member(ordered_pair(B,F),D))&member(ordered_pair(F,C),E))))&(member(ordered_pair(B,C),compose(D,E))|(![F]: ((~ilf_type(F,set_type)|~member(ordered_pair(B,F),D))|~member(ordered_pair(F,C),E))))))))))))),
% 4.67/1.02 inference(NNF_transformation,[status(esa)],[f32])).
% 4.67/1.02 fof(f34,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|(![E]: (~ilf_type(E,binary_relation_type)|((~member(ordered_pair(B,C),compose(D,E))|((ilf_type(sk0_0(E,D,C,B),set_type)&member(ordered_pair(B,sk0_0(E,D,C,B)),D))&member(ordered_pair(sk0_0(E,D,C,B),C),E)))&(member(ordered_pair(B,C),compose(D,E))|(![F]: ((~ilf_type(F,set_type)|~member(ordered_pair(B,F),D))|~member(ordered_pair(F,C),E))))))))))))),
% 4.67/1.02 inference(skolemization,[status(esa)],[f33])).
% 4.67/1.02 fof(f36,plain,(
% 4.67/1.02 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|~ilf_type(X3,binary_relation_type)|~member(ordered_pair(X0,X1),compose(X2,X3))|member(ordered_pair(X0,sk0_0(X3,X2,X1,X0)),X2))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f34])).
% 4.67/1.02 fof(f37,plain,(
% 4.67/1.02 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|~ilf_type(X3,binary_relation_type)|~member(ordered_pair(X0,X1),compose(X2,X3))|member(ordered_pair(sk0_0(X3,X2,X1,X0),X1),X3))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f34])).
% 4.67/1.02 fof(f38,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|~ilf_type(X3,binary_relation_type)|member(ordered_pair(X0,X1),compose(X2,X3))|~ilf_type(X4,set_type)|~member(ordered_pair(X0,X4),X2)|~member(ordered_pair(X4,X1),X3))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f34])).
% 4.67/1.02 fof(f39,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|(![F]: (~ilf_type(F,relation_type(B,C))|(~member(ordered_pair(D,E),F)|(member(D,B)&member(E,C))))))))))))),
% 4.67/1.02 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 4.67/1.02 fof(f40,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,relation_type(X0,X1))|~member(ordered_pair(X2,X3),X4)|member(X2,X0))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f39])).
% 4.67/1.02 fof(f41,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,relation_type(X0,X1))|~member(ordered_pair(X2,X3),X4)|member(X3,X1))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f39])).
% 4.67/1.02 fof(f42,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|(![F]: (~ilf_type(F,set_type)|(F=ordered_pair(D,E)<=>F=unordered_pair(unordered_pair(D,E),singleton(D))))))))))))),
% 4.67/1.02 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 4.67/1.02 fof(f43,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|(![F]: (~ilf_type(F,set_type)|((~F=ordered_pair(D,E)|F=unordered_pair(unordered_pair(D,E),singleton(D)))&(F=ordered_pair(D,E)|~F=unordered_pair(unordered_pair(D,E),singleton(D)))))))))))))),
% 4.67/1.02 inference(NNF_transformation,[status(esa)],[f42])).
% 4.67/1.02 fof(f44,plain,(
% 4.67/1.02 (![B]: ~ilf_type(B,set_type))|((![C]: ~ilf_type(C,set_type))|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|(![F]: (~ilf_type(F,set_type)|((~F=ordered_pair(D,E)|F=unordered_pair(unordered_pair(D,E),singleton(D)))&(F=ordered_pair(D,E)|~F=unordered_pair(unordered_pair(D,E),singleton(D)))))))))))),
% 4.67/1.02 inference(miniscoping,[status(esa)],[f43])).
% 4.67/1.02 fof(f45,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|~X4=ordered_pair(X2,X3)|X4=unordered_pair(unordered_pair(X2,X3),singleton(X2)))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f44])).
% 4.67/1.02 fof(f46,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|X4=ordered_pair(X2,X3)|~X4=unordered_pair(unordered_pair(X2,X3),singleton(X2)))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f44])).
% 4.67/1.02 fof(f49,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((![D]: (~ilf_type(D,subset_type(cross_product(B,C)))|ilf_type(D,relation_type(B,C))))&(![E]: (~ilf_type(E,relation_type(B,C))|ilf_type(E,subset_type(cross_product(B,C)))))))))),
% 4.67/1.02 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 4.67/1.02 fof(f51,plain,(
% 4.67/1.02 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|ilf_type(X2,subset_type(cross_product(X0,X1))))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f49])).
% 4.67/1.02 fof(f55,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 4.67/1.02 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 4.67/1.02 fof(f56,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|((~ilf_type(B,member_type(C))|member(B,C))&(ilf_type(B,member_type(C))|~member(B,C))))))),
% 4.67/1.02 inference(NNF_transformation,[status(esa)],[f55])).
% 4.67/1.02 fof(f57,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f56])).
% 4.67/1.02 fof(f58,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f56])).
% 4.67/1.02 fof(f62,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 4.67/1.02 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 4.67/1.02 fof(f63,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(?[C]: (ilf_type(C,set_type)&member(C,B))))))),
% 4.67/1.02 inference(NNF_transformation,[status(esa)],[f62])).
% 4.67/1.02 fof(f64,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(ilf_type(sk0_3(B),set_type)&member(sk0_3(B),B)))))),
% 4.67/1.02 inference(skolemization,[status(esa)],[f63])).
% 4.67/1.02 fof(f65,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f64])).
% 4.67/1.02 fof(f78,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 4.67/1.02 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 4.67/1.02 fof(f79,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|((~ilf_type(B,binary_relation_type)|(relation_like(B)&ilf_type(B,set_type)))&(ilf_type(B,binary_relation_type)|(~relation_like(B)|~ilf_type(B,set_type)))))),
% 4.67/1.02 inference(NNF_transformation,[status(esa)],[f78])).
% 4.67/1.02 fof(f80,plain,(
% 4.67/1.02 ![X0]: (~ilf_type(X0,set_type)|~ilf_type(X0,binary_relation_type)|relation_like(X0))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f79])).
% 4.67/1.02 fof(f82,plain,(
% 4.67/1.02 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f79])).
% 4.67/1.02 fof(f83,plain,(
% 4.67/1.02 ilf_type(sk0_4,binary_relation_type)),
% 4.67/1.02 inference(skolemization,[status(esa)],[f16])).
% 4.67/1.02 fof(f84,plain,(
% 4.67/1.02 ilf_type(sk0_4,binary_relation_type)),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f83])).
% 4.67/1.02 fof(f104,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(member(B,power_set(C))<=>(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C))))))))),
% 4.67/1.02 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 4.67/1.02 fof(f105,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~member(B,power_set(C))|(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C)))))&(member(B,power_set(C))|(?[D]: (ilf_type(D,set_type)&(member(D,B)&~member(D,C)))))))))),
% 4.67/1.02 inference(NNF_transformation,[status(esa)],[f104])).
% 4.67/1.02 fof(f106,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~member(B,power_set(C))|(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C)))))&(member(B,power_set(C))|(ilf_type(sk0_7(C,B),set_type)&(member(sk0_7(C,B),B)&~member(sk0_7(C,B),C))))))))),
% 4.67/1.02 inference(skolemization,[status(esa)],[f105])).
% 4.67/1.02 fof(f109,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|member(sk0_7(X1,X0),X0))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f106])).
% 4.67/1.02 fof(f110,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|~member(sk0_7(X1,X0),X1))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f106])).
% 4.67/1.02 fof(f111,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 4.67/1.02 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 4.67/1.02 fof(f112,plain,(
% 4.67/1.02 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f111])).
% 4.67/1.02 fof(f125,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,subset_type(cross_product(B,C)))|relation_like(D))))))),
% 4.67/1.02 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 4.67/1.02 fof(f126,plain,(
% 4.67/1.02 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,subset_type(cross_product(X0,X1)))|relation_like(X2))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f125])).
% 4.67/1.02 fof(f127,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,relation_type(B,C))|(![F]: (~ilf_type(F,relation_type(C,D))|compose5(B,C,D,E,F)=compose(E,F))))))))))),
% 4.67/1.02 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 4.67/1.02 fof(f128,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X0,X1))|~ilf_type(X4,relation_type(X1,X2))|compose5(X0,X1,X2,X3,X4)=compose(X3,X4))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f127])).
% 4.67/1.02 fof(f129,plain,(
% 4.67/1.02 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,relation_type(B,C))|(![F]: (~ilf_type(F,relation_type(C,D))|ilf_type(compose5(B,C,D,E,F),relation_type(B,D)))))))))))),
% 4.67/1.02 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 4.67/1.02 fof(f130,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X0,X1))|~ilf_type(X4,relation_type(X1,X2))|ilf_type(compose5(X0,X1,X2,X3,X4),relation_type(X0,X2)))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f129])).
% 4.67/1.02 fof(f131,plain,(
% 4.67/1.02 ![X0]: (ilf_type(X0,set_type))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f29])).
% 4.67/1.02 fof(f132,plain,(
% 4.67/1.02 (?[B]: ((~empty(B)&ilf_type(B,set_type))&(?[C]: ((~empty(C)&ilf_type(C,set_type))&(?[D]: ((~empty(D)&ilf_type(D,set_type))&(?[E]: (ilf_type(E,relation_type(B,C))&(?[F]: (ilf_type(F,relation_type(C,D))&(?[G]: (ilf_type(G,member_type(B))&(?[H]: (ilf_type(H,member_type(D))&(member(ordered_pair(G,H),compose5(B,C,D,E,F))<~>(?[I]: ((ilf_type(I,member_type(C))&member(ordered_pair(G,I),E))&member(ordered_pair(I,H),F))))))))))))))))))),
% 4.67/1.02 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 4.67/1.02 fof(f133,plain,(
% 4.67/1.02 ?[B]: ((~empty(B)&ilf_type(B,set_type))&(?[C]: ((~empty(C)&ilf_type(C,set_type))&(?[D]: ((~empty(D)&ilf_type(D,set_type))&(?[E]: (ilf_type(E,relation_type(B,C))&(?[F]: (ilf_type(F,relation_type(C,D))&(?[G]: (ilf_type(G,member_type(B))&(?[H]: (ilf_type(H,member_type(D))&((member(ordered_pair(G,H),compose5(B,C,D,E,F))|(?[I]: ((ilf_type(I,member_type(C))&member(ordered_pair(G,I),E))&member(ordered_pair(I,H),F))))&(~member(ordered_pair(G,H),compose5(B,C,D,E,F))|(![I]: ((~ilf_type(I,member_type(C))|~member(ordered_pair(G,I),E))|~member(ordered_pair(I,H),F))))))))))))))))))),
% 4.67/1.02 inference(NNF_transformation,[status(esa)],[f132])).
% 4.67/1.02 fof(f134,plain,(
% 4.67/1.02 ((~empty(sk0_11)&ilf_type(sk0_11,set_type))&((~empty(sk0_12)&ilf_type(sk0_12,set_type))&((~empty(sk0_13)&ilf_type(sk0_13,set_type))&(ilf_type(sk0_14,relation_type(sk0_11,sk0_12))&(ilf_type(sk0_15,relation_type(sk0_12,sk0_13))&(ilf_type(sk0_16,member_type(sk0_11))&(ilf_type(sk0_17,member_type(sk0_13))&((member(ordered_pair(sk0_16,sk0_17),compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15))|((ilf_type(sk0_18,member_type(sk0_12))&member(ordered_pair(sk0_16,sk0_18),sk0_14))&member(ordered_pair(sk0_18,sk0_17),sk0_15)))&(~member(ordered_pair(sk0_16,sk0_17),compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15))|(![I]: ((~ilf_type(I,member_type(sk0_12))|~member(ordered_pair(sk0_16,I),sk0_14))|~member(ordered_pair(I,sk0_17),sk0_15))))))))))))),
% 4.67/1.02 inference(skolemization,[status(esa)],[f133])).
% 4.67/1.02 fof(f137,plain,(
% 4.67/1.02 ~empty(sk0_12)),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f134])).
% 4.67/1.02 fof(f141,plain,(
% 4.67/1.02 ilf_type(sk0_14,relation_type(sk0_11,sk0_12))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f134])).
% 4.67/1.02 fof(f142,plain,(
% 4.67/1.02 ilf_type(sk0_15,relation_type(sk0_12,sk0_13))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f134])).
% 4.67/1.02 fof(f145,plain,(
% 4.67/1.02 member(ordered_pair(sk0_16,sk0_17),compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15))|ilf_type(sk0_18,member_type(sk0_12))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f134])).
% 4.67/1.02 fof(f146,plain,(
% 4.67/1.02 member(ordered_pair(sk0_16,sk0_17),compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15))|member(ordered_pair(sk0_16,sk0_18),sk0_14)),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f134])).
% 4.67/1.02 fof(f147,plain,(
% 4.67/1.02 member(ordered_pair(sk0_16,sk0_17),compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15))|member(ordered_pair(sk0_18,sk0_17),sk0_15)),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f134])).
% 4.67/1.02 fof(f148,plain,(
% 4.67/1.02 ![X0]: (~member(ordered_pair(sk0_16,sk0_17),compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15))|~ilf_type(X0,member_type(sk0_12))|~member(ordered_pair(sk0_16,X0),sk0_14)|~member(ordered_pair(X0,sk0_17),sk0_15))),
% 4.67/1.02 inference(cnf_transformation,[status(esa)],[f134])).
% 4.67/1.02 fof(f149,plain,(
% 4.67/1.02 spl0_0 <=> ~ilf_type(X0,set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f150,plain,(
% 4.67/1.02 ![X0]: (~ilf_type(X0,set_type)|~spl0_0)),
% 4.67/1.02 inference(component_clause,[status(thm)],[f149])).
% 4.67/1.02 fof(f152,plain,(
% 4.67/1.02 spl0_1 <=> ~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|~X4=ordered_pair(X2,X3)|X4=unordered_pair(unordered_pair(X2,X3),singleton(X2))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f155,plain,(
% 4.67/1.02 spl0_0|spl0_1),
% 4.67/1.02 inference(split_clause,[status(thm)],[f45,f149,f152])).
% 4.67/1.02 fof(f156,plain,(
% 4.67/1.02 spl0_2 <=> ~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|X4=ordered_pair(X2,X3)|~X4=unordered_pair(unordered_pair(X2,X3),singleton(X2))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f159,plain,(
% 4.67/1.02 spl0_0|spl0_2),
% 4.67/1.02 inference(split_clause,[status(thm)],[f46,f149,f156])).
% 4.67/1.02 fof(f160,plain,(
% 4.67/1.02 spl0_3 <=> member(ordered_pair(sk0_16,sk0_17),compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f161,plain,(
% 4.67/1.02 member(ordered_pair(sk0_16,sk0_17),compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15))|~spl0_3),
% 4.67/1.02 inference(component_clause,[status(thm)],[f160])).
% 4.67/1.02 fof(f162,plain,(
% 4.67/1.02 ~member(ordered_pair(sk0_16,sk0_17),compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15))|spl0_3),
% 4.67/1.02 inference(component_clause,[status(thm)],[f160])).
% 4.67/1.02 fof(f163,plain,(
% 4.67/1.02 spl0_4 <=> ilf_type(sk0_18,member_type(sk0_12))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f166,plain,(
% 4.67/1.02 spl0_3|spl0_4),
% 4.67/1.02 inference(split_clause,[status(thm)],[f145,f160,f163])).
% 4.67/1.02 fof(f167,plain,(
% 4.67/1.02 spl0_5 <=> member(ordered_pair(sk0_16,sk0_18),sk0_14)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f168,plain,(
% 4.67/1.02 member(ordered_pair(sk0_16,sk0_18),sk0_14)|~spl0_5),
% 4.67/1.02 inference(component_clause,[status(thm)],[f167])).
% 4.67/1.02 fof(f170,plain,(
% 4.67/1.02 spl0_3|spl0_5),
% 4.67/1.02 inference(split_clause,[status(thm)],[f146,f160,f167])).
% 4.67/1.02 fof(f171,plain,(
% 4.67/1.02 spl0_6 <=> member(ordered_pair(sk0_18,sk0_17),sk0_15)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f172,plain,(
% 4.67/1.02 member(ordered_pair(sk0_18,sk0_17),sk0_15)|~spl0_6),
% 4.67/1.02 inference(component_clause,[status(thm)],[f171])).
% 4.67/1.02 fof(f174,plain,(
% 4.67/1.02 spl0_3|spl0_6),
% 4.67/1.02 inference(split_clause,[status(thm)],[f147,f160,f171])).
% 4.67/1.02 fof(f175,plain,(
% 4.67/1.02 spl0_7 <=> ~ilf_type(X0,member_type(sk0_12))|~member(ordered_pair(sk0_16,X0),sk0_14)|~member(ordered_pair(X0,sk0_17),sk0_15)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f176,plain,(
% 4.67/1.02 ![X0]: (~ilf_type(X0,member_type(sk0_12))|~member(ordered_pair(sk0_16,X0),sk0_14)|~member(ordered_pair(X0,sk0_17),sk0_15)|~spl0_7)),
% 4.67/1.02 inference(component_clause,[status(thm)],[f175])).
% 4.67/1.02 fof(f178,plain,(
% 4.67/1.02 ~spl0_3|spl0_7),
% 4.67/1.02 inference(split_clause,[status(thm)],[f148,f160,f175])).
% 4.67/1.02 fof(f179,plain,(
% 4.67/1.02 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 4.67/1.02 inference(duplicate_literals_removal,[status(esa)],[f82])).
% 4.67/1.02 fof(f180,plain,(
% 4.67/1.02 $false|~spl0_0),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f150,f131])).
% 4.67/1.02 fof(f181,plain,(
% 4.67/1.02 ~spl0_0),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f180])).
% 4.67/1.02 fof(f182,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f58,f65])).
% 4.67/1.02 fof(f183,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f182,f131])).
% 4.67/1.02 fof(f184,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X3,X0))|~ilf_type(X4,relation_type(X0,X1))|ilf_type(compose5(X3,X0,X1,X2,X4),relation_type(X3,X1)))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f130,f131])).
% 4.67/1.02 fof(f185,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X3))|~ilf_type(X4,relation_type(X3,X0))|ilf_type(compose5(X2,X3,X0,X1,X4),relation_type(X2,X0)))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f184,f131])).
% 4.67/1.02 fof(f186,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X3,X0))|~ilf_type(X4,relation_type(X0,X1))|compose5(X3,X0,X1,X2,X4)=compose(X2,X4))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f128,f131])).
% 4.67/1.02 fof(f187,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X3))|~ilf_type(X4,relation_type(X3,X0))|compose5(X2,X3,X0,X1,X4)=compose(X1,X4))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f186,f131])).
% 4.67/1.02 fof(f188,plain,(
% 4.67/1.02 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f126,f131])).
% 4.67/1.02 fof(f189,plain,(
% 4.67/1.02 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|relation_like(X0))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f188,f131])).
% 4.67/1.02 fof(f196,plain,(
% 4.67/1.02 ![X0]: (~empty(power_set(X0)))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f112,f131])).
% 4.67/1.02 fof(f197,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|~member(sk0_7(X0,X1),X0))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f110,f131])).
% 4.67/1.02 fof(f198,plain,(
% 4.67/1.02 ![X0,X1]: (member(X0,power_set(X1))|~member(sk0_7(X1,X0),X1))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f197,f131])).
% 4.67/1.02 fof(f199,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|member(sk0_7(X0,X1),X1))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f109,f131])).
% 4.67/1.02 fof(f200,plain,(
% 4.67/1.02 ![X0,X1]: (member(X0,power_set(X1))|member(sk0_7(X1,X0),X0))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f199,f131])).
% 4.67/1.02 fof(f212,plain,(
% 4.67/1.02 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f179,f131])).
% 4.67/1.02 fof(f213,plain,(
% 4.67/1.02 ![X0]: (~ilf_type(X0,binary_relation_type)|relation_like(X0))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f80,f131])).
% 4.67/1.02 fof(f217,plain,(
% 4.67/1.02 ![X0,X1]: (~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f65,f131])).
% 4.67/1.02 fof(f218,plain,(
% 4.67/1.02 ![X0,X1]: (~empty(X0)|~member(X1,X0))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f217,f131])).
% 4.67/1.02 fof(f220,plain,(
% 4.67/1.02 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f57,f131])).
% 4.67/1.02 fof(f221,plain,(
% 4.67/1.02 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f220,f131])).
% 4.67/1.02 fof(f224,plain,(
% 4.67/1.02 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f51,f131])).
% 4.67/1.02 fof(f225,plain,(
% 4.67/1.02 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f224,f131])).
% 4.67/1.02 fof(f228,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X4,X0))|~member(ordered_pair(X1,X2),X3)|member(X2,X0))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f41,f131])).
% 4.67/1.02 fof(f229,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X3,X4))|~member(ordered_pair(X0,X1),X2)|member(X1,X4))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f228,f131])).
% 4.67/1.02 fof(f230,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X4,X0))|~member(ordered_pair(X1,X2),X3)|member(X1,X4))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f40,f131])).
% 4.67/1.02 fof(f231,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X3,X4))|~member(ordered_pair(X0,X1),X2)|member(X0,X3))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f230,f131])).
% 4.67/1.02 fof(f232,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~ilf_type(X2,binary_relation_type)|member(ordered_pair(X3,X0),compose(X1,X2))|~ilf_type(X4,set_type)|~member(ordered_pair(X3,X4),X1)|~member(ordered_pair(X4,X0),X2))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f38,f131])).
% 4.67/1.02 fof(f233,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,binary_relation_type)|~ilf_type(X1,binary_relation_type)|member(ordered_pair(X2,X3),compose(X0,X1))|~ilf_type(X4,set_type)|~member(ordered_pair(X2,X4),X0)|~member(ordered_pair(X4,X3),X1))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f232,f131])).
% 4.67/1.02 fof(f234,plain,(
% 4.67/1.02 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~ilf_type(X2,binary_relation_type)|~member(ordered_pair(X3,X0),compose(X1,X2))|member(ordered_pair(sk0_0(X2,X1,X0,X3),X0),X2))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f37,f131])).
% 4.67/1.02 fof(f235,plain,(
% 4.67/1.02 ![X0,X1,X2,X3]: (~ilf_type(X0,binary_relation_type)|~ilf_type(X1,binary_relation_type)|~member(ordered_pair(X2,X3),compose(X0,X1))|member(ordered_pair(sk0_0(X1,X0,X3,X2),X3),X1))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f234,f131])).
% 4.67/1.02 fof(f236,plain,(
% 4.67/1.02 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~ilf_type(X2,binary_relation_type)|~member(ordered_pair(X3,X0),compose(X1,X2))|member(ordered_pair(X3,sk0_0(X2,X1,X0,X3)),X1))),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f36,f131])).
% 4.67/1.02 fof(f237,plain,(
% 4.67/1.02 ![X0,X1,X2,X3]: (~ilf_type(X0,binary_relation_type)|~ilf_type(X1,binary_relation_type)|~member(ordered_pair(X2,X3),compose(X0,X1))|member(ordered_pair(X2,sk0_0(X1,X0,X3,X2)),X0))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f236,f131])).
% 4.67/1.02 fof(f242,plain,(
% 4.67/1.02 ![X0]: (member(X0,power_set(X0))|member(X0,power_set(X0)))),
% 4.67/1.02 inference(resolution,[status(thm)],[f200,f198])).
% 4.67/1.02 fof(f243,plain,(
% 4.67/1.02 ![X0]: (member(X0,power_set(X0)))),
% 4.67/1.02 inference(duplicate_literals_removal,[status(esa)],[f242])).
% 4.67/1.02 fof(f245,plain,(
% 4.67/1.02 spl0_8 <=> empty(sk0_14)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f246,plain,(
% 4.67/1.02 empty(sk0_14)|~spl0_8),
% 4.67/1.02 inference(component_clause,[status(thm)],[f245])).
% 4.67/1.02 fof(f248,plain,(
% 4.67/1.02 spl0_9 <=> ~ilf_type(ordered_pair(sk0_16,X0),member_type(sk0_14))|~ilf_type(X0,member_type(sk0_12))|~member(ordered_pair(X0,sk0_17),sk0_15)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f249,plain,(
% 4.67/1.02 ![X0]: (~ilf_type(ordered_pair(sk0_16,X0),member_type(sk0_14))|~ilf_type(X0,member_type(sk0_12))|~member(ordered_pair(X0,sk0_17),sk0_15)|~spl0_9)),
% 4.67/1.02 inference(component_clause,[status(thm)],[f248])).
% 4.67/1.02 fof(f251,plain,(
% 4.67/1.02 ![X0]: (empty(sk0_14)|~ilf_type(ordered_pair(sk0_16,X0),member_type(sk0_14))|~ilf_type(X0,member_type(sk0_12))|~member(ordered_pair(X0,sk0_17),sk0_15)|~spl0_7)),
% 4.67/1.02 inference(resolution,[status(thm)],[f221,f176])).
% 4.67/1.02 fof(f252,plain,(
% 4.67/1.02 spl0_8|spl0_9|~spl0_7),
% 4.67/1.02 inference(split_clause,[status(thm)],[f251,f245,f248,f175])).
% 4.67/1.02 fof(f253,plain,(
% 4.67/1.02 ![X0]: (~member(X0,sk0_14)|~spl0_8)),
% 4.67/1.02 inference(resolution,[status(thm)],[f246,f218])).
% 4.67/1.02 fof(f261,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,relation_type(X1,X2))|~ilf_type(X3,relation_type(X2,X4))|compose5(X1,X2,X4,X0,X3)=compose(X0,X3))),
% 4.67/1.02 inference(resolution,[status(thm)],[f187,f131])).
% 4.67/1.02 fof(f314,plain,(
% 4.67/1.02 spl0_17 <=> empty(power_set(sk0_14))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f315,plain,(
% 4.67/1.02 empty(power_set(sk0_14))|~spl0_17),
% 4.67/1.02 inference(component_clause,[status(thm)],[f314])).
% 4.67/1.02 fof(f326,plain,(
% 4.67/1.02 $false|~spl0_17),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f315,f196])).
% 4.67/1.02 fof(f327,plain,(
% 4.67/1.02 ~spl0_17),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f326])).
% 4.67/1.02 fof(f328,plain,(
% 4.67/1.02 spl0_19 <=> ilf_type(sk0_14,set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f330,plain,(
% 4.67/1.02 ~ilf_type(sk0_14,set_type)|spl0_19),
% 4.67/1.02 inference(component_clause,[status(thm)],[f328])).
% 4.67/1.02 fof(f333,plain,(
% 4.67/1.02 $false|spl0_19),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f330,f131])).
% 4.67/1.02 fof(f334,plain,(
% 4.67/1.02 spl0_19),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f333])).
% 4.67/1.02 fof(f340,plain,(
% 4.67/1.02 spl0_20 <=> member(sk0_14,power_set(sk0_14))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f342,plain,(
% 4.67/1.02 ~member(sk0_14,power_set(sk0_14))|spl0_20),
% 4.67/1.02 inference(component_clause,[status(thm)],[f340])).
% 4.67/1.02 fof(f358,plain,(
% 4.67/1.02 ![X0]: (~ilf_type(X0,member_type(sk0_12))|~member(ordered_pair(X0,sk0_17),sk0_15)|~ilf_type(sk0_14,set_type)|~member(ordered_pair(sk0_16,X0),sk0_14)|~spl0_9)),
% 4.67/1.02 inference(resolution,[status(thm)],[f249,f183])).
% 4.67/1.02 fof(f359,plain,(
% 4.67/1.02 spl0_7|~spl0_19|~spl0_9),
% 4.67/1.02 inference(split_clause,[status(thm)],[f358,f175,f328,f248])).
% 4.67/1.02 fof(f411,plain,(
% 4.67/1.02 spl0_25 <=> ilf_type(power_set(sk0_14),set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f413,plain,(
% 4.67/1.02 ~ilf_type(power_set(sk0_14),set_type)|spl0_25),
% 4.67/1.02 inference(component_clause,[status(thm)],[f411])).
% 4.67/1.02 fof(f419,plain,(
% 4.67/1.02 $false|spl0_25),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f413,f131])).
% 4.67/1.02 fof(f420,plain,(
% 4.67/1.02 spl0_25),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f419])).
% 4.67/1.02 fof(f434,plain,(
% 4.67/1.02 spl0_27 <=> empty(power_set(power_set(sk0_14)))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f435,plain,(
% 4.67/1.02 empty(power_set(power_set(sk0_14)))|~spl0_27),
% 4.67/1.02 inference(component_clause,[status(thm)],[f434])).
% 4.67/1.02 fof(f465,plain,(
% 4.67/1.02 spl0_29 <=> ilf_type(power_set(power_set(sk0_14)),set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f467,plain,(
% 4.67/1.02 ~ilf_type(power_set(power_set(sk0_14)),set_type)|spl0_29),
% 4.67/1.02 inference(component_clause,[status(thm)],[f465])).
% 4.67/1.02 fof(f473,plain,(
% 4.67/1.02 $false|spl0_29),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f467,f131])).
% 4.67/1.02 fof(f474,plain,(
% 4.67/1.02 spl0_29),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f473])).
% 4.67/1.02 fof(f476,plain,(
% 4.67/1.02 spl0_31 <=> ilf_type(compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15),set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f478,plain,(
% 4.67/1.02 ~ilf_type(compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15),set_type)|spl0_31),
% 4.67/1.02 inference(component_clause,[status(thm)],[f476])).
% 4.67/1.02 fof(f506,plain,(
% 4.67/1.02 spl0_36 <=> empty(power_set(compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15)))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f507,plain,(
% 4.67/1.02 empty(power_set(compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15)))|~spl0_36),
% 4.67/1.02 inference(component_clause,[status(thm)],[f506])).
% 4.67/1.02 fof(f519,plain,(
% 4.67/1.02 $false|~spl0_36),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f507,f196])).
% 4.67/1.02 fof(f520,plain,(
% 4.67/1.02 ~spl0_36),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f519])).
% 4.67/1.02 fof(f534,plain,(
% 4.67/1.02 $false|spl0_31),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f478,f131])).
% 4.67/1.02 fof(f535,plain,(
% 4.67/1.02 spl0_31),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f534])).
% 4.67/1.02 fof(f536,plain,(
% 4.67/1.02 $false|spl0_20),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f342,f243])).
% 4.67/1.02 fof(f537,plain,(
% 4.67/1.02 spl0_20),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f536])).
% 4.67/1.02 fof(f538,plain,(
% 4.67/1.02 $false|~spl0_27),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f435,f196])).
% 4.67/1.02 fof(f539,plain,(
% 4.67/1.02 ~spl0_27),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f538])).
% 4.67/1.02 fof(f555,plain,(
% 4.67/1.02 spl0_42 <=> ilf_type(sk0_10(power_set(compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15))),set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f557,plain,(
% 4.67/1.02 ~ilf_type(sk0_10(power_set(compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15))),set_type)|spl0_42),
% 4.67/1.02 inference(component_clause,[status(thm)],[f555])).
% 4.67/1.02 fof(f560,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X3))|~member(ordered_pair(X0,X4),X1)|member(X4,X3))),
% 4.67/1.02 inference(resolution,[status(thm)],[f229,f131])).
% 4.67/1.02 fof(f561,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X0)|member(X4,X2))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f560,f131])).
% 4.67/1.02 fof(f562,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X3))|~member(ordered_pair(X0,X4),X1)|member(X0,X2))),
% 4.67/1.02 inference(resolution,[status(thm)],[f231,f131])).
% 4.67/1.02 fof(f563,plain,(
% 4.67/1.02 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X0)|member(X3,X1))),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f562,f131])).
% 4.67/1.02 fof(f564,plain,(
% 4.67/1.02 ![X0,X1,X2,X3]: (~ilf_type(X0,binary_relation_type)|~member(ordered_pair(X1,X2),compose(X0,X3))|member(ordered_pair(sk0_0(X3,X0,X2,X1),X2),X3)|~relation_like(X3))),
% 4.67/1.02 inference(resolution,[status(thm)],[f235,f212])).
% 4.67/1.02 fof(f565,plain,(
% 4.67/1.02 ![X0,X1,X2,X3]: (~ilf_type(X0,binary_relation_type)|~member(ordered_pair(X1,X2),compose(X0,X3))|member(ordered_pair(X1,sk0_0(X3,X0,X2,X1)),X0)|~relation_like(X3))),
% 4.67/1.02 inference(resolution,[status(thm)],[f237,f212])).
% 4.67/1.02 fof(f573,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(X0,relation_type(X1,sk0_12))|compose5(X1,sk0_12,sk0_13,X0,sk0_15)=compose(X0,sk0_15))),
% 4.67/1.02 inference(resolution,[status(thm)],[f261,f142])).
% 4.67/1.02 fof(f574,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(X0,relation_type(X1,sk0_11))|compose5(X1,sk0_11,sk0_12,X0,sk0_14)=compose(X0,sk0_14))),
% 4.67/1.02 inference(resolution,[status(thm)],[f261,f141])).
% 4.67/1.02 fof(f580,plain,(
% 4.67/1.02 ![X0,X1]: (~member(ordered_pair(X0,X1),sk0_14)|member(X1,sk0_12))),
% 4.67/1.02 inference(resolution,[status(thm)],[f561,f141])).
% 4.67/1.02 fof(f594,plain,(
% 4.67/1.02 spl0_45 <=> member(X0,sk0_12)|~ilf_type(ordered_pair(X1,X0),member_type(sk0_14))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f595,plain,(
% 4.67/1.02 ![X0,X1]: (member(X0,sk0_12)|~ilf_type(ordered_pair(X1,X0),member_type(sk0_14))|~spl0_45)),
% 4.67/1.02 inference(component_clause,[status(thm)],[f594])).
% 4.67/1.02 fof(f597,plain,(
% 4.67/1.02 ![X0,X1]: (member(X0,sk0_12)|empty(sk0_14)|~ilf_type(ordered_pair(X1,X0),member_type(sk0_14)))),
% 4.67/1.02 inference(resolution,[status(thm)],[f580,f221])).
% 4.67/1.02 fof(f598,plain,(
% 4.67/1.02 spl0_45|spl0_8),
% 4.67/1.02 inference(split_clause,[status(thm)],[f597,f594,f245])).
% 4.67/1.02 fof(f602,plain,(
% 4.67/1.02 ![X0,X1]: (~member(ordered_pair(X0,X1),sk0_15)|member(X0,sk0_12))),
% 4.67/1.02 inference(resolution,[status(thm)],[f563,f142])).
% 4.67/1.02 fof(f603,plain,(
% 4.67/1.02 ![X0,X1]: (~member(ordered_pair(X0,X1),sk0_14)|member(X0,sk0_11))),
% 4.67/1.02 inference(resolution,[status(thm)],[f563,f141])).
% 4.67/1.02 fof(f616,plain,(
% 4.67/1.02 spl0_47 <=> member(X0,sk0_11)|~ilf_type(ordered_pair(X0,X1),member_type(sk0_14))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f617,plain,(
% 4.67/1.02 ![X0,X1]: (member(X0,sk0_11)|~ilf_type(ordered_pair(X0,X1),member_type(sk0_14))|~spl0_47)),
% 4.67/1.02 inference(component_clause,[status(thm)],[f616])).
% 4.67/1.02 fof(f619,plain,(
% 4.67/1.02 ![X0,X1]: (member(X0,sk0_11)|empty(sk0_14)|~ilf_type(ordered_pair(X0,X1),member_type(sk0_14)))),
% 4.67/1.02 inference(resolution,[status(thm)],[f603,f221])).
% 4.67/1.02 fof(f620,plain,(
% 4.67/1.02 spl0_47|spl0_8),
% 4.67/1.02 inference(split_clause,[status(thm)],[f619,f616,f245])).
% 4.67/1.02 fof(f621,plain,(
% 4.67/1.02 $false|spl0_42),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f557,f131])).
% 4.67/1.02 fof(f622,plain,(
% 4.67/1.02 spl0_42),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f621])).
% 4.67/1.02 fof(f644,plain,(
% 4.67/1.02 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|~member(ordered_pair(X1,X2),compose(X0,sk0_4))|member(ordered_pair(X1,sk0_0(sk0_4,X0,X2,X1)),X0))),
% 4.67/1.02 inference(resolution,[status(thm)],[f84,f237])).
% 4.67/1.02 fof(f661,plain,(
% 4.67/1.02 spl0_48 <=> member(X0,sk0_12)|~member(ordered_pair(X1,X0),sk0_14)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f664,plain,(
% 4.67/1.02 ![X0,X1]: (member(X0,sk0_12)|~ilf_type(sk0_14,set_type)|~member(ordered_pair(X1,X0),sk0_14)|~spl0_45)),
% 4.67/1.02 inference(resolution,[status(thm)],[f595,f183])).
% 4.67/1.02 fof(f665,plain,(
% 4.67/1.02 spl0_48|~spl0_19|~spl0_45),
% 4.67/1.02 inference(split_clause,[status(thm)],[f664,f661,f328,f594])).
% 4.67/1.02 fof(f669,plain,(
% 4.67/1.02 spl0_50 <=> ilf_type(sk0_15,set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f671,plain,(
% 4.67/1.02 ~ilf_type(sk0_15,set_type)|spl0_50),
% 4.67/1.02 inference(component_clause,[status(thm)],[f669])).
% 4.67/1.02 fof(f674,plain,(
% 4.67/1.02 $false|spl0_50),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f671,f131])).
% 4.67/1.02 fof(f675,plain,(
% 4.67/1.02 spl0_50),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f674])).
% 4.67/1.02 fof(f681,plain,(
% 4.67/1.02 spl0_52 <=> member(X0,sk0_11)|~member(ordered_pair(X0,X1),sk0_14)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f684,plain,(
% 4.67/1.02 ![X0,X1]: (member(X0,sk0_11)|~ilf_type(sk0_14,set_type)|~member(ordered_pair(X0,X1),sk0_14)|~spl0_47)),
% 4.67/1.02 inference(resolution,[status(thm)],[f617,f183])).
% 4.67/1.02 fof(f685,plain,(
% 4.67/1.02 spl0_52|~spl0_19|~spl0_47),
% 4.67/1.02 inference(split_clause,[status(thm)],[f684,f681,f328,f616])).
% 4.67/1.02 fof(f850,plain,(
% 4.67/1.02 spl0_64 <=> ilf_type(sk0_3(power_set(sk0_4)),set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f852,plain,(
% 4.67/1.02 ~ilf_type(sk0_3(power_set(sk0_4)),set_type)|spl0_64),
% 4.67/1.02 inference(component_clause,[status(thm)],[f850])).
% 4.67/1.02 fof(f858,plain,(
% 4.67/1.02 $false|spl0_64),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f852,f131])).
% 4.67/1.02 fof(f859,plain,(
% 4.67/1.02 spl0_64),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f858])).
% 4.67/1.02 fof(f873,plain,(
% 4.67/1.02 spl0_66 <=> ~ilf_type(X0,binary_relation_type)|member(ordered_pair(X1,sk0_0(sk0_4,X0,X2,X1)),X0)|~ilf_type(X0,binary_relation_type)|~ilf_type(X3,set_type)|~member(ordered_pair(X1,X3),X0)|~member(ordered_pair(X3,X2),sk0_4)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f876,plain,(
% 4.67/1.02 spl0_67 <=> ilf_type(sk0_4,binary_relation_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f878,plain,(
% 4.67/1.02 ~ilf_type(sk0_4,binary_relation_type)|spl0_67),
% 4.67/1.02 inference(component_clause,[status(thm)],[f876])).
% 4.67/1.02 fof(f879,plain,(
% 4.67/1.02 ![X0,X1,X2,X3]: (~ilf_type(X0,binary_relation_type)|member(ordered_pair(X1,sk0_0(sk0_4,X0,X2,X1)),X0)|~ilf_type(X0,binary_relation_type)|~ilf_type(sk0_4,binary_relation_type)|~ilf_type(X3,set_type)|~member(ordered_pair(X1,X3),X0)|~member(ordered_pair(X3,X2),sk0_4))),
% 4.67/1.02 inference(resolution,[status(thm)],[f644,f233])).
% 4.67/1.02 fof(f880,plain,(
% 4.67/1.02 spl0_66|~spl0_67),
% 4.67/1.02 inference(split_clause,[status(thm)],[f879,f873,f876])).
% 4.67/1.02 fof(f883,plain,(
% 4.67/1.02 $false|spl0_67),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f878,f84])).
% 4.67/1.02 fof(f884,plain,(
% 4.67/1.02 spl0_67),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f883])).
% 4.67/1.02 fof(f916,plain,(
% 4.67/1.02 spl0_68 <=> compose5(X0,sk0_12,sk0_13,compose5(X0,X1,sk0_12,X2,X3),sk0_15)=compose(compose5(X0,X1,sk0_12,X2,X3),sk0_15)|~ilf_type(X2,relation_type(X0,X1))|~ilf_type(X3,relation_type(X1,sk0_12))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f919,plain,(
% 4.67/1.02 spl0_69 <=> ilf_type(sk0_12,set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f921,plain,(
% 4.67/1.02 ~ilf_type(sk0_12,set_type)|spl0_69),
% 4.67/1.02 inference(component_clause,[status(thm)],[f919])).
% 4.67/1.02 fof(f922,plain,(
% 4.67/1.02 ![X0,X1,X2,X3]: (compose5(X0,sk0_12,sk0_13,compose5(X0,X1,sk0_12,X2,X3),sk0_15)=compose(compose5(X0,X1,sk0_12,X2,X3),sk0_15)|~ilf_type(sk0_12,set_type)|~ilf_type(X2,relation_type(X0,X1))|~ilf_type(X3,relation_type(X1,sk0_12)))),
% 4.67/1.02 inference(resolution,[status(thm)],[f573,f185])).
% 4.67/1.02 fof(f923,plain,(
% 4.67/1.02 spl0_68|~spl0_69),
% 4.67/1.02 inference(split_clause,[status(thm)],[f922,f916,f919])).
% 4.67/1.02 fof(f924,plain,(
% 4.67/1.02 compose5(sk0_11,sk0_12,sk0_13,sk0_14,sk0_15)=compose(sk0_14,sk0_15)),
% 4.67/1.02 inference(resolution,[status(thm)],[f573,f141])).
% 4.67/1.02 fof(f951,plain,(
% 4.67/1.02 $false|spl0_69),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f921,f131])).
% 4.67/1.02 fof(f952,plain,(
% 4.67/1.02 spl0_69),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f951])).
% 4.67/1.02 fof(f955,plain,(
% 4.67/1.02 spl0_70 <=> compose5(X0,sk0_11,sk0_12,compose5(X0,X1,sk0_11,X2,X3),sk0_14)=compose(compose5(X0,X1,sk0_11,X2,X3),sk0_14)|~ilf_type(X2,relation_type(X0,X1))|~ilf_type(X3,relation_type(X1,sk0_11))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f958,plain,(
% 4.67/1.02 spl0_71 <=> ilf_type(sk0_11,set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f960,plain,(
% 4.67/1.02 ~ilf_type(sk0_11,set_type)|spl0_71),
% 4.67/1.02 inference(component_clause,[status(thm)],[f958])).
% 4.67/1.02 fof(f961,plain,(
% 4.67/1.02 ![X0,X1,X2,X3]: (compose5(X0,sk0_11,sk0_12,compose5(X0,X1,sk0_11,X2,X3),sk0_14)=compose(compose5(X0,X1,sk0_11,X2,X3),sk0_14)|~ilf_type(sk0_11,set_type)|~ilf_type(X2,relation_type(X0,X1))|~ilf_type(X3,relation_type(X1,sk0_11)))),
% 4.67/1.02 inference(resolution,[status(thm)],[f574,f185])).
% 4.67/1.02 fof(f962,plain,(
% 4.67/1.02 spl0_70|~spl0_71),
% 4.67/1.02 inference(split_clause,[status(thm)],[f961,f955,f958])).
% 4.67/1.02 fof(f964,plain,(
% 4.67/1.02 $false|spl0_71),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f960,f131])).
% 4.67/1.02 fof(f965,plain,(
% 4.67/1.02 spl0_71),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f964])).
% 4.67/1.02 fof(f974,plain,(
% 4.67/1.02 spl0_72 <=> ilf_type(sk0_14,binary_relation_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f976,plain,(
% 4.67/1.02 ~ilf_type(sk0_14,binary_relation_type)|spl0_72),
% 4.67/1.02 inference(component_clause,[status(thm)],[f974])).
% 4.67/1.02 fof(f977,plain,(
% 4.67/1.02 spl0_73 <=> ilf_type(sk0_15,binary_relation_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f979,plain,(
% 4.67/1.02 ~ilf_type(sk0_15,binary_relation_type)|spl0_73),
% 4.67/1.02 inference(component_clause,[status(thm)],[f977])).
% 4.67/1.02 fof(f997,plain,(
% 4.67/1.02 ~relation_like(sk0_15)|spl0_73),
% 4.67/1.02 inference(resolution,[status(thm)],[f979,f212])).
% 4.67/1.02 fof(f1000,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(sk0_15,subset_type(cross_product(X0,X1)))|spl0_73)),
% 4.67/1.02 inference(resolution,[status(thm)],[f997,f189])).
% 4.67/1.02 fof(f1003,plain,(
% 4.67/1.02 ~relation_like(sk0_14)|spl0_72),
% 4.67/1.02 inference(resolution,[status(thm)],[f976,f212])).
% 4.67/1.02 fof(f1017,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(sk0_14,subset_type(cross_product(X0,X1)))|spl0_72)),
% 4.67/1.02 inference(resolution,[status(thm)],[f1003,f189])).
% 4.67/1.02 fof(f1029,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(sk0_15,relation_type(X0,X1))|spl0_73)),
% 4.67/1.02 inference(resolution,[status(thm)],[f1000,f225])).
% 4.67/1.02 fof(f1031,plain,(
% 4.67/1.02 $false|spl0_73),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f142,f1029])).
% 4.67/1.02 fof(f1032,plain,(
% 4.67/1.02 spl0_73),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f1031])).
% 4.67/1.02 fof(f1073,plain,(
% 4.67/1.02 ![X0,X1]: (~ilf_type(sk0_14,relation_type(X0,X1))|spl0_72)),
% 4.67/1.02 inference(resolution,[status(thm)],[f1017,f225])).
% 4.67/1.02 fof(f1075,plain,(
% 4.67/1.02 $false|spl0_72),
% 4.67/1.02 inference(backward_subsumption_resolution,[status(thm)],[f141,f1073])).
% 4.67/1.02 fof(f1076,plain,(
% 4.67/1.02 spl0_72),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f1075])).
% 4.67/1.02 fof(f1096,plain,(
% 4.67/1.02 ~member(ordered_pair(sk0_16,sk0_17),compose(sk0_14,sk0_15))|spl0_3),
% 4.67/1.02 inference(forward_demodulation,[status(thm)],[f924,f162])).
% 4.67/1.02 fof(f1145,plain,(
% 4.67/1.02 spl0_88 <=> ~ilf_type(X0,set_type)|~member(ordered_pair(sk0_16,X0),sk0_14)|~member(ordered_pair(X0,sk0_17),sk0_15)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1146,plain,(
% 4.67/1.02 ![X0]: (~ilf_type(X0,set_type)|~member(ordered_pair(sk0_16,X0),sk0_14)|~member(ordered_pair(X0,sk0_17),sk0_15)|~spl0_88)),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1145])).
% 4.67/1.02 fof(f1148,plain,(
% 4.67/1.02 ![X0]: (~ilf_type(sk0_14,binary_relation_type)|~ilf_type(sk0_15,binary_relation_type)|~ilf_type(X0,set_type)|~member(ordered_pair(sk0_16,X0),sk0_14)|~member(ordered_pair(X0,sk0_17),sk0_15)|spl0_3)),
% 4.67/1.02 inference(resolution,[status(thm)],[f1096,f233])).
% 4.67/1.02 fof(f1149,plain,(
% 4.67/1.02 ~spl0_72|~spl0_73|spl0_88|spl0_3),
% 4.67/1.02 inference(split_clause,[status(thm)],[f1148,f974,f977,f1145,f160])).
% 4.67/1.02 fof(f1158,plain,(
% 4.67/1.02 ![X0]: (~member(ordered_pair(sk0_16,X0),sk0_14)|~member(ordered_pair(X0,sk0_17),sk0_15)|~spl0_88)),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1146,f131])).
% 4.67/1.02 fof(f1159,plain,(
% 4.67/1.02 spl0_90 <=> ilf_type(compose(sk0_14,sk0_15),set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1161,plain,(
% 4.67/1.02 ~ilf_type(compose(sk0_14,sk0_15),set_type)|spl0_90),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1159])).
% 4.67/1.02 fof(f1167,plain,(
% 4.67/1.02 $false|spl0_90),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1161,f131])).
% 4.67/1.02 fof(f1168,plain,(
% 4.67/1.02 spl0_90),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f1167])).
% 4.67/1.02 fof(f1169,plain,(
% 4.67/1.02 ~member(ordered_pair(sk0_18,sk0_17),sk0_15)|~spl0_88|~spl0_5),
% 4.67/1.02 inference(resolution,[status(thm)],[f1158,f168])).
% 4.67/1.02 fof(f1170,plain,(
% 4.67/1.02 $false|~spl0_6|~spl0_88|~spl0_5),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1169,f172])).
% 4.67/1.02 fof(f1171,plain,(
% 4.67/1.02 ~spl0_6|~spl0_88|~spl0_5),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f1170])).
% 4.67/1.02 fof(f1172,plain,(
% 4.67/1.02 member(ordered_pair(sk0_16,sk0_17),compose(sk0_14,sk0_15))|~spl0_3),
% 4.67/1.02 inference(forward_demodulation,[status(thm)],[f924,f161])).
% 4.67/1.02 fof(f1207,plain,(
% 4.67/1.02 spl0_95 <=> empty(power_set(sk0_4))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1208,plain,(
% 4.67/1.02 empty(power_set(sk0_4))|~spl0_95),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1207])).
% 4.67/1.02 fof(f1215,plain,(
% 4.67/1.02 $false|~spl0_95),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1208,f196])).
% 4.67/1.02 fof(f1216,plain,(
% 4.67/1.02 ~spl0_95),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f1215])).
% 4.67/1.02 fof(f1239,plain,(
% 4.67/1.02 spl0_102 <=> empty(power_set(sk0_15))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1240,plain,(
% 4.67/1.02 empty(power_set(sk0_15))|~spl0_102),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1239])).
% 4.67/1.02 fof(f1252,plain,(
% 4.67/1.02 $false|~spl0_102),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1240,f196])).
% 4.67/1.02 fof(f1253,plain,(
% 4.67/1.02 ~spl0_102),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f1252])).
% 4.67/1.02 fof(f1318,plain,(
% 4.67/1.02 spl0_104 <=> ilf_type(ordered_pair(sk0_16,sk0_18),member_type(sk0_14))),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1320,plain,(
% 4.67/1.02 ~ilf_type(ordered_pair(sk0_16,sk0_18),member_type(sk0_14))|spl0_104),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1318])).
% 4.67/1.02 fof(f1386,plain,(
% 4.67/1.02 spl0_109 <=> member(ordered_pair(sk0_16,sk0_0(sk0_15,sk0_14,sk0_17,sk0_16)),sk0_14)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1387,plain,(
% 4.67/1.02 member(ordered_pair(sk0_16,sk0_0(sk0_15,sk0_14,sk0_17,sk0_16)),sk0_14)|~spl0_109),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1386])).
% 4.67/1.02 fof(f1389,plain,(
% 4.67/1.02 spl0_110 <=> relation_like(sk0_15)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1391,plain,(
% 4.67/1.02 ~relation_like(sk0_15)|spl0_110),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1389])).
% 4.67/1.02 fof(f1392,plain,(
% 4.67/1.02 ~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_16,sk0_0(sk0_15,sk0_14,sk0_17,sk0_16)),sk0_14)|~relation_like(sk0_15)|~spl0_3),
% 4.67/1.02 inference(resolution,[status(thm)],[f1172,f565])).
% 4.67/1.02 fof(f1393,plain,(
% 4.67/1.02 ~spl0_72|spl0_109|~spl0_110|~spl0_3),
% 4.67/1.02 inference(split_clause,[status(thm)],[f1392,f974,f1386,f1389,f160])).
% 4.67/1.02 fof(f1394,plain,(
% 4.67/1.02 spl0_111 <=> member(ordered_pair(sk0_0(sk0_15,sk0_14,sk0_17,sk0_16),sk0_17),sk0_15)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1397,plain,(
% 4.67/1.02 ~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_0(sk0_15,sk0_14,sk0_17,sk0_16),sk0_17),sk0_15)|~relation_like(sk0_15)|~spl0_3),
% 4.67/1.02 inference(resolution,[status(thm)],[f1172,f564])).
% 4.67/1.02 fof(f1398,plain,(
% 4.67/1.02 ~spl0_72|spl0_111|~spl0_110|~spl0_3),
% 4.67/1.02 inference(split_clause,[status(thm)],[f1397,f974,f1394,f1389,f160])).
% 4.67/1.02 fof(f1401,plain,(
% 4.67/1.02 $false|~spl0_8|~spl0_109),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1387,f253])).
% 4.67/1.02 fof(f1402,plain,(
% 4.67/1.02 ~spl0_8|~spl0_109),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f1401])).
% 4.67/1.02 fof(f1403,plain,(
% 4.67/1.02 ~ilf_type(sk0_14,set_type)|~member(ordered_pair(sk0_16,sk0_18),sk0_14)|spl0_104),
% 4.67/1.02 inference(resolution,[status(thm)],[f1320,f183])).
% 4.67/1.02 fof(f1404,plain,(
% 4.67/1.02 ~spl0_19|~spl0_5|spl0_104),
% 4.67/1.02 inference(split_clause,[status(thm)],[f1403,f328,f167,f1318])).
% 4.67/1.02 fof(f1417,plain,(
% 4.67/1.02 ~ilf_type(sk0_15,binary_relation_type)|spl0_110),
% 4.67/1.02 inference(resolution,[status(thm)],[f1391,f213])).
% 4.67/1.02 fof(f1418,plain,(
% 4.67/1.02 ~spl0_73|spl0_110),
% 4.67/1.02 inference(split_clause,[status(thm)],[f1417,f977,f1389])).
% 4.67/1.02 fof(f1517,plain,(
% 4.67/1.02 spl0_120 <=> ilf_type(sk0_3(power_set(sk0_14)),set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1519,plain,(
% 4.67/1.02 ~ilf_type(sk0_3(power_set(sk0_14)),set_type)|spl0_120),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1517])).
% 4.67/1.02 fof(f1522,plain,(
% 4.67/1.02 $false|spl0_120),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1519,f131])).
% 4.67/1.02 fof(f1523,plain,(
% 4.67/1.02 spl0_120),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f1522])).
% 4.67/1.02 fof(f1524,plain,(
% 4.67/1.02 spl0_121 <=> ilf_type(sk0_3(power_set(sk0_15)),set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1526,plain,(
% 4.67/1.02 ~ilf_type(sk0_3(power_set(sk0_15)),set_type)|spl0_121),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1524])).
% 4.67/1.02 fof(f1529,plain,(
% 4.67/1.02 $false|spl0_121),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1526,f131])).
% 4.67/1.02 fof(f1530,plain,(
% 4.67/1.02 spl0_121),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f1529])).
% 4.67/1.02 fof(f1531,plain,(
% 4.67/1.02 spl0_122 <=> ilf_type(sk0_10(power_set(sk0_15)),set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1533,plain,(
% 4.67/1.02 ~ilf_type(sk0_10(power_set(sk0_15)),set_type)|spl0_122),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1531])).
% 4.67/1.02 fof(f1536,plain,(
% 4.67/1.02 $false|spl0_122),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1533,f131])).
% 4.67/1.02 fof(f1537,plain,(
% 4.67/1.02 spl0_122),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f1536])).
% 4.67/1.02 fof(f1552,plain,(
% 4.67/1.02 spl0_123 <=> ilf_type(sk0_4,set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1554,plain,(
% 4.67/1.02 ~ilf_type(sk0_4,set_type)|spl0_123),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1552])).
% 4.67/1.02 fof(f1557,plain,(
% 4.67/1.02 $false|spl0_123),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1554,f131])).
% 4.67/1.02 fof(f1558,plain,(
% 4.67/1.02 spl0_123),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f1557])).
% 4.67/1.02 fof(f1583,plain,(
% 4.67/1.02 ~ilf_type(ordered_pair(sk0_16,sk0_18),member_type(sk0_14))|~ilf_type(sk0_18,member_type(sk0_12))|~spl0_6|~spl0_9),
% 4.67/1.02 inference(resolution,[status(thm)],[f172,f249])).
% 4.67/1.02 fof(f1584,plain,(
% 4.67/1.02 ~spl0_104|~spl0_4|~spl0_6|~spl0_9),
% 4.67/1.02 inference(split_clause,[status(thm)],[f1583,f1318,f163,f171,f248])).
% 4.67/1.02 fof(f1663,plain,(
% 4.67/1.02 spl0_132 <=> ilf_type(sk0_10(power_set(sk0_4)),set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1665,plain,(
% 4.67/1.02 ~ilf_type(sk0_10(power_set(sk0_4)),set_type)|spl0_132),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1663])).
% 4.67/1.02 fof(f1668,plain,(
% 4.67/1.02 $false|spl0_132),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1665,f131])).
% 4.67/1.02 fof(f1669,plain,(
% 4.67/1.02 spl0_132),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f1668])).
% 4.67/1.02 fof(f1831,plain,(
% 4.67/1.02 spl0_145 <=> ilf_type(sk0_2(power_set(sk0_14)),set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1833,plain,(
% 4.67/1.02 ~ilf_type(sk0_2(power_set(sk0_14)),set_type)|spl0_145),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1831])).
% 4.67/1.02 fof(f1836,plain,(
% 4.67/1.02 $false|spl0_145),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1833,f131])).
% 4.67/1.02 fof(f1837,plain,(
% 4.67/1.02 spl0_145),
% 4.67/1.02 inference(contradiction_clause,[status(thm)],[f1836])).
% 4.67/1.02 fof(f1838,plain,(
% 4.67/1.02 spl0_146 <=> ilf_type(sk0_10(power_set(sk0_14)),set_type)),
% 4.67/1.02 introduced(split_symbol_definition)).
% 4.67/1.02 fof(f1840,plain,(
% 4.67/1.02 ~ilf_type(sk0_10(power_set(sk0_14)),set_type)|spl0_146),
% 4.67/1.02 inference(component_clause,[status(thm)],[f1838])).
% 4.67/1.02 fof(f1843,plain,(
% 4.67/1.02 $false|spl0_146),
% 4.67/1.02 inference(forward_subsumption_resolution,[status(thm)],[f1840,f131])).
% 4.67/1.03 fof(f1844,plain,(
% 4.67/1.03 spl0_146),
% 4.67/1.03 inference(contradiction_clause,[status(thm)],[f1843])).
% 4.67/1.03 fof(f1856,plain,(
% 4.67/1.03 spl0_149 <=> ilf_type(power_set(sk0_15),set_type)),
% 4.67/1.03 introduced(split_symbol_definition)).
% 4.67/1.03 fof(f1858,plain,(
% 4.67/1.03 ~ilf_type(power_set(sk0_15),set_type)|spl0_149),
% 4.67/1.03 inference(component_clause,[status(thm)],[f1856])).
% 4.67/1.03 fof(f1861,plain,(
% 4.67/1.03 $false|spl0_149),
% 4.67/1.03 inference(forward_subsumption_resolution,[status(thm)],[f1858,f131])).
% 4.67/1.03 fof(f1862,plain,(
% 4.67/1.03 spl0_149),
% 4.67/1.03 inference(contradiction_clause,[status(thm)],[f1861])).
% 4.67/1.03 fof(f1924,plain,(
% 4.67/1.03 spl0_154 <=> empty(sk0_12)),
% 4.67/1.03 introduced(split_symbol_definition)).
% 4.67/1.03 fof(f1925,plain,(
% 4.67/1.03 empty(sk0_12)|~spl0_154),
% 4.67/1.03 inference(component_clause,[status(thm)],[f1924])).
% 4.67/1.03 fof(f1929,plain,(
% 4.67/1.03 spl0_155 <=> ~member(ordered_pair(sk0_16,X0),sk0_14)|~member(ordered_pair(X0,sk0_17),sk0_15)|~member(X0,sk0_12)),
% 4.67/1.03 introduced(split_symbol_definition)).
% 4.67/1.03 fof(f1930,plain,(
% 4.67/1.03 ![X0]: (~member(ordered_pair(sk0_16,X0),sk0_14)|~member(ordered_pair(X0,sk0_17),sk0_15)|~member(X0,sk0_12)|~spl0_155)),
% 4.67/1.03 inference(component_clause,[status(thm)],[f1929])).
% 4.67/1.03 fof(f1932,plain,(
% 4.67/1.03 ![X0]: (~member(ordered_pair(sk0_16,X0),sk0_14)|~member(ordered_pair(X0,sk0_17),sk0_15)|~ilf_type(sk0_12,set_type)|~member(X0,sk0_12)|~spl0_7)),
% 4.67/1.03 inference(resolution,[status(thm)],[f176,f183])).
% 4.67/1.03 fof(f1933,plain,(
% 4.67/1.03 spl0_155|~spl0_69|~spl0_7),
% 4.67/1.03 inference(split_clause,[status(thm)],[f1932,f1929,f919,f175])).
% 4.67/1.03 fof(f1934,plain,(
% 4.67/1.03 ![X0]: (~member(ordered_pair(sk0_16,X0),sk0_14)|~member(ordered_pair(X0,sk0_17),sk0_15)|~spl0_155)),
% 4.67/1.03 inference(forward_subsumption_resolution,[status(thm)],[f1930,f602])).
% 4.67/1.03 fof(f1935,plain,(
% 4.67/1.03 $false|~spl0_154),
% 4.67/1.03 inference(forward_subsumption_resolution,[status(thm)],[f1925,f137])).
% 4.67/1.03 fof(f1936,plain,(
% 4.67/1.03 ~spl0_154),
% 4.67/1.03 inference(contradiction_clause,[status(thm)],[f1935])).
% 4.67/1.03 fof(f2005,plain,(
% 4.67/1.03 spl0_163 <=> ilf_type(sk0_2(power_set(sk0_15)),set_type)),
% 4.67/1.03 introduced(split_symbol_definition)).
% 4.67/1.03 fof(f2007,plain,(
% 4.67/1.03 ~ilf_type(sk0_2(power_set(sk0_15)),set_type)|spl0_163),
% 4.67/1.03 inference(component_clause,[status(thm)],[f2005])).
% 4.67/1.03 fof(f2010,plain,(
% 4.67/1.03 $false|spl0_163),
% 4.67/1.03 inference(forward_subsumption_resolution,[status(thm)],[f2007,f131])).
% 4.67/1.03 fof(f2011,plain,(
% 4.67/1.03 spl0_163),
% 4.67/1.03 inference(contradiction_clause,[status(thm)],[f2010])).
% 4.67/1.03 fof(f2013,plain,(
% 4.67/1.03 spl0_164 <=> ilf_type(sk0_6(sk0_14,power_set(sk0_14)),set_type)),
% 4.67/1.03 introduced(split_symbol_definition)).
% 4.67/1.03 fof(f2015,plain,(
% 4.67/1.03 ~ilf_type(sk0_6(sk0_14,power_set(sk0_14)),set_type)|spl0_164),
% 4.67/1.03 inference(component_clause,[status(thm)],[f2013])).
% 4.67/1.03 fof(f2018,plain,(
% 4.67/1.03 $false|spl0_164),
% 4.67/1.03 inference(forward_subsumption_resolution,[status(thm)],[f2015,f131])).
% 4.67/1.03 fof(f2019,plain,(
% 4.67/1.03 spl0_164),
% 4.67/1.03 inference(contradiction_clause,[status(thm)],[f2018])).
% 4.67/1.03 fof(f2020,plain,(
% 4.67/1.03 spl0_165 <=> ilf_type(sk0_6(sk0_15,power_set(sk0_15)),set_type)),
% 4.67/1.03 introduced(split_symbol_definition)).
% 4.67/1.03 fof(f2022,plain,(
% 4.67/1.03 ~ilf_type(sk0_6(sk0_15,power_set(sk0_15)),set_type)|spl0_165),
% 4.67/1.03 inference(component_clause,[status(thm)],[f2020])).
% 4.67/1.03 fof(f2025,plain,(
% 4.67/1.03 $false|spl0_165),
% 4.67/1.03 inference(forward_subsumption_resolution,[status(thm)],[f2022,f131])).
% 4.67/1.03 fof(f2026,plain,(
% 4.67/1.03 spl0_165),
% 4.67/1.03 inference(contradiction_clause,[status(thm)],[f2025])).
% 4.67/1.03 fof(f2169,plain,(
% 4.67/1.03 ~member(ordered_pair(sk0_0(sk0_15,sk0_14,sk0_17,sk0_16),sk0_17),sk0_15)|~spl0_109|~spl0_155),
% 4.67/1.03 inference(resolution,[status(thm)],[f1387,f1934])).
% 4.67/1.03 fof(f2170,plain,(
% 4.67/1.03 ~spl0_111|~spl0_109|~spl0_155),
% 4.67/1.03 inference(split_clause,[status(thm)],[f2169,f1394,f1386,f1929])).
% 4.67/1.03 fof(f2181,plain,(
% 4.67/1.03 $false),
% 4.67/1.03 inference(sat_refutation,[status(thm)],[f155,f159,f166,f170,f174,f178,f181,f252,f327,f334,f359,f420,f474,f520,f535,f537,f539,f598,f620,f622,f665,f675,f685,f859,f880,f884,f923,f952,f962,f965,f1032,f1076,f1149,f1168,f1171,f1216,f1253,f1393,f1398,f1402,f1404,f1418,f1523,f1530,f1537,f1558,f1584,f1669,f1837,f1844,f1862,f1933,f1936,f2011,f2019,f2026,f2170])).
% 4.67/1.03 % SZS output end CNFRefutation for theBenchmark.p
% 5.05/1.05 % Elapsed time: 0.749627 seconds
% 5.05/1.05 % CPU time: 5.135960 seconds
% 5.05/1.05 % Memory used: 142.417 MB
%------------------------------------------------------------------------------