TSTP Solution File: SET660+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET660+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:34:57 EDT 2023
% Result : Theorem 36.72s 5.04s
% Output : CNFRefutation 36.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET660+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n027.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:33:32 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 36.72/5.04 % Refutation found
% 36.72/5.04 % SZS status Theorem for theBenchmark: Theorem is valid
% 36.72/5.04 % SZS output start CNFRefutation for theBenchmark
% 36.72/5.04 fof(f1,axiom,(
% 36.72/5.04 (! [B] :( ilf_type(B,binary_relation_type)=> (! [C] :( ilf_type(C,set_type)=> ( member(C,range_of(B))<=> (? [D] :( ilf_type(D,set_type)& member(ordered_pair(D,C),B) ) )) ) )) )),
% 36.72/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.04 fof(f3,axiom,(
% 36.72/5.04 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,binary_relation_type)=> ( member(ordered_pair(B,C),D)=> ( member(B,domain_of(D))& member(C,range_of(D)) ) ) ) )) )) )),
% 36.72/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.04 fof(f4,axiom,(
% 36.72/5.04 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( (! [D] :( ilf_type(D,set_type)=> ( member(D,B)<=> member(D,C) ) ))=> B = C ) ) )) )),
% 36.72/5.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.04 fof(f5,axiom,(
% 36.72/5.04 (! [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)) ) ) )) )) )) )) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f7,axiom,(
% 36.72/5.05 (! [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))) ) )) ) )) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f9,axiom,(
% 36.72/5.05 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( B = C<=> ( subset(B,C)& subset(C,B) ) ) ) )) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f15,axiom,(
% 36.72/5.05 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f16,axiom,(
% 36.72/5.05 (? [B] : ilf_type(B,binary_relation_type) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f17,axiom,(
% 36.72/5.05 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( ilf_type(C,subset_type(B))<=> ilf_type(C,member_type(power_set(B))) ) ) )) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f18,axiom,(
% 36.72/5.05 (! [B] :( ilf_type(B,set_type)=> (? [C] : ilf_type(C,subset_type(B)) )) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f19,axiom,(
% 36.72/5.05 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( B = C<=> (! [D] :( ilf_type(D,set_type)=> ( member(D,B)<=> member(D,C) ) ) )) ) )) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f20,axiom,(
% 36.72/5.05 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( subset(B,C)<=> (! [D] :( ilf_type(D,set_type)=> ( member(D,B)=> member(D,C) ) ) )) ) )) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f22,axiom,(
% 36.72/5.05 (! [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) ) ) )) ) )) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f23,axiom,(
% 36.72/5.05 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f24,axiom,(
% 36.72/5.05 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f25,axiom,(
% 36.72/5.05 (! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (? [C] : ilf_type(C,member_type(B)) )) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f26,axiom,(
% 36.72/5.05 (! [B] :( ilf_type(B,set_type)=> ( relation_like(B)<=> (! [C] :( ilf_type(C,set_type)=> ( member(C,B)=> (? [D] :( ilf_type(D,set_type)& (? [E] :( ilf_type(E,set_type)& C = ordered_pair(D,E) ) )) )) ) )) ) )),
% 36.72/5.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.05 fof(f27,axiom,(
% 36.72/5.06 (! [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) ) )) )) )),
% 36.72/5.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.06 fof(f28,axiom,(
% 36.72/5.06 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 36.72/5.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.06 fof(f30,axiom,(
% 36.72/5.06 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> domain(B,C,D) = domain_of(D) ) )) )) )),
% 36.72/5.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.06 fof(f31,axiom,(
% 36.72/5.06 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> ilf_type(domain(B,C,D),subset_type(B)) ) )) )) )),
% 36.72/5.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.06 fof(f32,axiom,(
% 36.72/5.06 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> range(B,C,D) = range_of(D) ) )) )) )),
% 36.72/5.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.06 fof(f33,axiom,(
% 36.72/5.06 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> ilf_type(range(B,C,D),subset_type(C)) ) )) )) )),
% 36.72/5.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.06 fof(f34,axiom,(
% 36.72/5.06 (! [B] : ilf_type(B,set_type) )),
% 36.72/5.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.06 fof(f35,conjecture,(
% 36.72/5.06 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> ( (! [E] :( ilf_type(E,set_type)=> ( member(E,C)=> (? [F] :( ilf_type(F,set_type)& member(ordered_pair(F,E),D) ) )) ))<=> range(B,C,D) = C ) ) )) )) )),
% 36.72/5.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 36.72/5.06 fof(f36,negated_conjecture,(
% 36.72/5.06 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> ( (! [E] :( ilf_type(E,set_type)=> ( member(E,C)=> (? [F] :( ilf_type(F,set_type)& member(ordered_pair(F,E),D) ) )) ))<=> range(B,C,D) = C ) ) )) )) ))),
% 36.72/5.06 inference(negated_conjecture,[status(cth)],[f35])).
% 36.72/5.06 fof(f37,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,binary_relation_type)|(![C]: (~ilf_type(C,set_type)|(member(C,range_of(B))<=>(?[D]: (ilf_type(D,set_type)&member(ordered_pair(D,C),B)))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 36.72/5.06 fof(f38,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,binary_relation_type)|(![C]: (~ilf_type(C,set_type)|((~member(C,range_of(B))|(?[D]: (ilf_type(D,set_type)&member(ordered_pair(D,C),B))))&(member(C,range_of(B))|(![D]: (~ilf_type(D,set_type)|~member(ordered_pair(D,C),B))))))))),
% 36.72/5.06 inference(NNF_transformation,[status(esa)],[f37])).
% 36.72/5.06 fof(f39,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,binary_relation_type)|(![C]: (~ilf_type(C,set_type)|((~member(C,range_of(B))|(ilf_type(sk0_0(C,B),set_type)&member(ordered_pair(sk0_0(C,B),C),B)))&(member(C,range_of(B))|(![D]: (~ilf_type(D,set_type)|~member(ordered_pair(D,C),B))))))))),
% 36.72/5.06 inference(skolemization,[status(esa)],[f38])).
% 36.72/5.06 fof(f41,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~ilf_type(X1,set_type)|~member(X1,range_of(X0))|member(ordered_pair(sk0_0(X1,X0),X1),X0))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f39])).
% 36.72/5.06 fof(f42,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|~ilf_type(X1,set_type)|member(X1,range_of(X0))|~ilf_type(X2,set_type)|~member(ordered_pair(X2,X1),X0))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f39])).
% 36.72/5.06 fof(f45,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|(~member(ordered_pair(B,C),D)|(member(B,domain_of(D))&member(C,range_of(D)))))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 36.72/5.06 fof(f46,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|~member(ordered_pair(X0,X1),X2)|member(X0,domain_of(X2)))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f45])).
% 36.72/5.06 fof(f48,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((?[D]: (ilf_type(D,set_type)&(member(D,B)<~>member(D,C))))|B=C))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 36.72/5.06 fof(f49,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((?[D]: (ilf_type(D,set_type)&((member(D,B)|member(D,C))&(~member(D,B)|~member(D,C)))))|B=C))))),
% 36.72/5.06 inference(NNF_transformation,[status(esa)],[f48])).
% 36.72/5.06 fof(f50,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((ilf_type(sk0_1(C,B),set_type)&((member(sk0_1(C,B),B)|member(sk0_1(C,B),C))&(~member(sk0_1(C,B),B)|~member(sk0_1(C,B),C))))|B=C))))),
% 36.72/5.06 inference(skolemization,[status(esa)],[f49])).
% 36.72/5.06 fof(f52,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(sk0_1(X1,X0),X0)|member(sk0_1(X1,X0),X1)|X0=X1)),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f50])).
% 36.72/5.06 fof(f54,plain,(
% 36.72/5.06 ![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))))))))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 36.72/5.06 fof(f55,plain,(
% 36.72/5.06 ![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)))))))))))))),
% 36.72/5.06 inference(NNF_transformation,[status(esa)],[f54])).
% 36.72/5.06 fof(f56,plain,(
% 36.72/5.06 (![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)))))))))))),
% 36.72/5.06 inference(miniscoping,[status(esa)],[f55])).
% 36.72/5.06 fof(f57,plain,(
% 36.72/5.06 ![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)))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f56])).
% 36.72/5.06 fof(f58,plain,(
% 36.72/5.06 ![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)))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f56])).
% 36.72/5.06 fof(f61,plain,(
% 36.72/5.06 ![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)))))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 36.72/5.06 fof(f62,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,subset_type(cross_product(X0,X1)))|ilf_type(X2,relation_type(X0,X1)))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f61])).
% 36.72/5.06 fof(f63,plain,(
% 36.72/5.06 ![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))))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f61])).
% 36.72/5.06 fof(f67,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(B=C<=>(subset(B,C)&subset(C,B))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 36.72/5.06 fof(f68,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B)))))))),
% 36.72/5.06 inference(NNF_transformation,[status(esa)],[f67])).
% 36.72/5.06 fof(f71,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f68])).
% 36.72/5.06 fof(f82,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 36.72/5.06 fof(f83,plain,(
% 36.72/5.06 ![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)))))),
% 36.72/5.06 inference(NNF_transformation,[status(esa)],[f82])).
% 36.72/5.06 fof(f84,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,set_type)|~ilf_type(X0,binary_relation_type)|relation_like(X0))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f83])).
% 36.72/5.06 fof(f86,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f83])).
% 36.72/5.06 fof(f87,plain,(
% 36.72/5.06 ilf_type(sk0_3,binary_relation_type)),
% 36.72/5.06 inference(skolemization,[status(esa)],[f16])).
% 36.72/5.06 fof(f88,plain,(
% 36.72/5.06 ilf_type(sk0_3,binary_relation_type)),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f87])).
% 36.72/5.06 fof(f89,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(ilf_type(C,subset_type(B))<=>ilf_type(C,member_type(power_set(B)))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 36.72/5.06 fof(f90,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~ilf_type(C,subset_type(B))|ilf_type(C,member_type(power_set(B))))&(ilf_type(C,subset_type(B))|~ilf_type(C,member_type(power_set(B))))))))),
% 36.72/5.06 inference(NNF_transformation,[status(esa)],[f89])).
% 36.72/5.06 fof(f91,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X1,subset_type(X0))|ilf_type(X1,member_type(power_set(X0))))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f90])).
% 36.72/5.06 fof(f92,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|ilf_type(X1,subset_type(X0))|~ilf_type(X1,member_type(power_set(X0))))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f90])).
% 36.72/5.06 fof(f93,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(?[C]: ilf_type(C,subset_type(B))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 36.72/5.06 fof(f94,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|ilf_type(sk0_4(B),subset_type(B)))),
% 36.72/5.06 inference(skolemization,[status(esa)],[f93])).
% 36.72/5.06 fof(f95,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,set_type)|ilf_type(sk0_4(X0),subset_type(X0)))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f94])).
% 36.72/5.06 fof(f96,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(B=C<=>(![D]: (~ilf_type(D,set_type)|(member(D,B)<=>member(D,C))))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 36.72/5.06 fof(f97,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~B=C|(![D]: (~ilf_type(D,set_type)|((~member(D,B)|member(D,C))&(member(D,B)|~member(D,C))))))&(B=C|(?[D]: (ilf_type(D,set_type)&((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))))))))),
% 36.72/5.06 inference(NNF_transformation,[status(esa)],[f96])).
% 36.72/5.06 fof(f98,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~B=C|(![D]: (~ilf_type(D,set_type)|((~member(D,B)|member(D,C))&(member(D,B)|~member(D,C))))))&(B=C|(ilf_type(sk0_5(C,B),set_type)&((~member(sk0_5(C,B),B)|~member(sk0_5(C,B),C))&(member(sk0_5(C,B),B)|member(sk0_5(C,B),C)))))))))),
% 36.72/5.06 inference(skolemization,[status(esa)],[f97])).
% 36.72/5.06 fof(f103,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|X0=X1|member(sk0_5(X1,X0),X0)|member(sk0_5(X1,X0),X1))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f98])).
% 36.72/5.06 fof(f104,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(subset(B,C)<=>(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C))))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 36.72/5.06 fof(f105,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~subset(B,C)|(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C)))))&(subset(B,C)|(?[D]: (ilf_type(D,set_type)&(member(D,B)&~member(D,C)))))))))),
% 36.72/5.06 inference(NNF_transformation,[status(esa)],[f104])).
% 36.72/5.06 fof(f106,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~subset(B,C)|(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C)))))&(subset(B,C)|(ilf_type(sk0_6(C,B),set_type)&(member(sk0_6(C,B),B)&~member(sk0_6(C,B),C))))))))),
% 36.72/5.06 inference(skolemization,[status(esa)],[f105])).
% 36.72/5.06 fof(f109,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|member(sk0_6(X1,X0),X0))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f106])).
% 36.72/5.06 fof(f110,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|~member(sk0_6(X1,X0),X1))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f106])).
% 36.72/5.06 fof(f113,plain,(
% 36.72/5.06 ![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))))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 36.72/5.06 fof(f114,plain,(
% 36.72/5.06 ![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)))))))))),
% 36.72/5.06 inference(NNF_transformation,[status(esa)],[f113])).
% 36.72/5.06 fof(f115,plain,(
% 36.72/5.06 ![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))))))))),
% 36.72/5.06 inference(skolemization,[status(esa)],[f114])).
% 36.72/5.06 fof(f116,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(X0,power_set(X1))|~ilf_type(X2,set_type)|~member(X2,X0)|member(X2,X1))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f115])).
% 36.72/5.06 fof(f118,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|member(sk0_7(X1,X0),X0))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f115])).
% 36.72/5.06 fof(f119,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|~member(sk0_7(X1,X0),X1))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f115])).
% 36.72/5.06 fof(f120,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 36.72/5.06 fof(f121,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f120])).
% 36.72/5.06 fof(f123,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 36.72/5.06 fof(f124,plain,(
% 36.72/5.06 ![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))))))),
% 36.72/5.06 inference(NNF_transformation,[status(esa)],[f123])).
% 36.72/5.06 fof(f125,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f124])).
% 36.72/5.06 fof(f126,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f124])).
% 36.72/5.06 fof(f127,plain,(
% 36.72/5.06 ![B]: ((empty(B)|~ilf_type(B,set_type))|(?[C]: ilf_type(C,member_type(B))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 36.72/5.06 fof(f128,plain,(
% 36.72/5.06 ![B]: ((empty(B)|~ilf_type(B,set_type))|ilf_type(sk0_8(B),member_type(B)))),
% 36.72/5.06 inference(skolemization,[status(esa)],[f127])).
% 36.72/5.06 fof(f129,plain,(
% 36.72/5.06 ![X0]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(sk0_8(X0),member_type(X0)))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f128])).
% 36.72/5.06 fof(f130,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(relation_like(B)<=>(![C]: (~ilf_type(C,set_type)|(~member(C,B)|(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,set_type)&C=ordered_pair(D,E))))))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 36.72/5.06 fof(f131,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|((~relation_like(B)|(![C]: (~ilf_type(C,set_type)|(~member(C,B)|(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,set_type)&C=ordered_pair(D,E)))))))))&(relation_like(B)|(?[C]: (ilf_type(C,set_type)&(member(C,B)&(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|~C=ordered_pair(D,E)))))))))))),
% 36.72/5.06 inference(NNF_transformation,[status(esa)],[f130])).
% 36.72/5.06 fof(f132,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|((~relation_like(B)|(![C]: (~ilf_type(C,set_type)|(~member(C,B)|(ilf_type(sk0_9(C,B),set_type)&(ilf_type(sk0_10(C,B),set_type)&C=ordered_pair(sk0_9(C,B),sk0_10(C,B))))))))&(relation_like(B)|(ilf_type(sk0_11(B),set_type)&(member(sk0_11(B),B)&(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|~sk0_11(B)=ordered_pair(D,E))))))))))),
% 36.72/5.06 inference(skolemization,[status(esa)],[f131])).
% 36.72/5.06 fof(f135,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|~relation_like(X0)|~ilf_type(X1,set_type)|~member(X1,X0)|X1=ordered_pair(sk0_9(X1,X0),sk0_10(X1,X0)))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f132])).
% 36.72/5.06 fof(f137,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,set_type)|relation_like(X0)|member(sk0_11(X0),X0))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f132])).
% 36.72/5.06 fof(f139,plain,(
% 36.72/5.06 ![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))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 36.72/5.06 fof(f140,plain,(
% 36.72/5.06 ![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))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f139])).
% 36.72/5.06 fof(f141,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 36.72/5.06 fof(f142,plain,(
% 36.72/5.06 ![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))))))),
% 36.72/5.06 inference(NNF_transformation,[status(esa)],[f141])).
% 36.72/5.06 fof(f143,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(ilf_type(sk0_12(B),set_type)&member(sk0_12(B),B)))))),
% 36.72/5.06 inference(skolemization,[status(esa)],[f142])).
% 36.72/5.06 fof(f144,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f143])).
% 36.72/5.06 fof(f146,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,set_type)|empty(X0)|member(sk0_12(X0),X0))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f143])).
% 36.72/5.06 fof(f149,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|domain(B,C,D)=domain_of(D))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 36.72/5.06 fof(f150,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|domain(X0,X1,X2)=domain_of(X2))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f149])).
% 36.72/5.06 fof(f151,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|ilf_type(domain(B,C,D),subset_type(B)))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 36.72/5.06 fof(f152,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|ilf_type(domain(X0,X1,X2),subset_type(X0)))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f151])).
% 36.72/5.06 fof(f153,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|range(B,C,D)=range_of(D))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 36.72/5.06 fof(f154,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|range(X0,X1,X2)=range_of(X2))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f153])).
% 36.72/5.06 fof(f155,plain,(
% 36.72/5.06 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|ilf_type(range(B,C,D),subset_type(C)))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 36.72/5.06 fof(f156,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|ilf_type(range(X0,X1,X2),subset_type(X1)))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f155])).
% 36.72/5.06 fof(f157,plain,(
% 36.72/5.06 ![X0]: (ilf_type(X0,set_type))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f34])).
% 36.72/5.06 fof(f158,plain,(
% 36.72/5.06 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,relation_type(B,C))&((![E]: (~ilf_type(E,set_type)|(~member(E,C)|(?[F]: (ilf_type(F,set_type)&member(ordered_pair(F,E),D))))))<~>range(B,C,D)=C)))))))),
% 36.72/5.06 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 36.72/5.06 fof(f159,plain,(
% 36.72/5.06 ?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,relation_type(B,C))&(((![E]: (~ilf_type(E,set_type)|(~member(E,C)|(?[F]: (ilf_type(F,set_type)&member(ordered_pair(F,E),D))))))|range(B,C,D)=C)&((?[E]: (ilf_type(E,set_type)&(member(E,C)&(![F]: (~ilf_type(F,set_type)|~member(ordered_pair(F,E),D))))))|~range(B,C,D)=C)))))))),
% 36.72/5.06 inference(NNF_transformation,[status(esa)],[f158])).
% 36.72/5.06 fof(f160,plain,(
% 36.72/5.06 (ilf_type(sk0_13,set_type)&(ilf_type(sk0_14,set_type)&(ilf_type(sk0_15,relation_type(sk0_13,sk0_14))&(((![E]: (~ilf_type(E,set_type)|(~member(E,sk0_14)|(ilf_type(sk0_16(E),set_type)&member(ordered_pair(sk0_16(E),E),sk0_15)))))|range(sk0_13,sk0_14,sk0_15)=sk0_14)&((ilf_type(sk0_17,set_type)&(member(sk0_17,sk0_14)&(![F]: (~ilf_type(F,set_type)|~member(ordered_pair(F,sk0_17),sk0_15)))))|~range(sk0_13,sk0_14,sk0_15)=sk0_14)))))),
% 36.72/5.06 inference(skolemization,[status(esa)],[f159])).
% 36.72/5.06 fof(f163,plain,(
% 36.72/5.06 ilf_type(sk0_15,relation_type(sk0_13,sk0_14))),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f160])).
% 36.72/5.06 fof(f165,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,set_type)|~member(X0,sk0_14)|member(ordered_pair(sk0_16(X0),X0),sk0_15)|range(sk0_13,sk0_14,sk0_15)=sk0_14)),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f160])).
% 36.72/5.06 fof(f167,plain,(
% 36.72/5.06 member(sk0_17,sk0_14)|~range(sk0_13,sk0_14,sk0_15)=sk0_14),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f160])).
% 36.72/5.06 fof(f168,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,set_type)|~member(ordered_pair(X0,sk0_17),sk0_15)|~range(sk0_13,sk0_14,sk0_15)=sk0_14)),
% 36.72/5.06 inference(cnf_transformation,[status(esa)],[f160])).
% 36.72/5.06 fof(f169,plain,(
% 36.72/5.06 spl0_0 <=> ~ilf_type(X0,set_type)),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f170,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,set_type)|~spl0_0)),
% 36.72/5.06 inference(component_clause,[status(thm)],[f169])).
% 36.72/5.06 fof(f172,plain,(
% 36.72/5.06 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))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f175,plain,(
% 36.72/5.06 spl0_0|spl0_1),
% 36.72/5.06 inference(split_clause,[status(thm)],[f57,f169,f172])).
% 36.72/5.06 fof(f176,plain,(
% 36.72/5.06 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))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f179,plain,(
% 36.72/5.06 spl0_0|spl0_2),
% 36.72/5.06 inference(split_clause,[status(thm)],[f58,f169,f176])).
% 36.72/5.06 fof(f183,plain,(
% 36.72/5.06 spl0_4 <=> range(sk0_13,sk0_14,sk0_15)=sk0_14),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f184,plain,(
% 36.72/5.06 range(sk0_13,sk0_14,sk0_15)=sk0_14|~spl0_4),
% 36.72/5.06 inference(component_clause,[status(thm)],[f183])).
% 36.72/5.06 fof(f185,plain,(
% 36.72/5.06 ~range(sk0_13,sk0_14,sk0_15)=sk0_14|spl0_4),
% 36.72/5.06 inference(component_clause,[status(thm)],[f183])).
% 36.72/5.06 fof(f187,plain,(
% 36.72/5.06 spl0_5 <=> ~ilf_type(X0,set_type)|~member(X0,sk0_14)|member(ordered_pair(sk0_16(X0),X0),sk0_15)),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f188,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,set_type)|~member(X0,sk0_14)|member(ordered_pair(sk0_16(X0),X0),sk0_15)|~spl0_5)),
% 36.72/5.06 inference(component_clause,[status(thm)],[f187])).
% 36.72/5.06 fof(f190,plain,(
% 36.72/5.06 spl0_5|spl0_4),
% 36.72/5.06 inference(split_clause,[status(thm)],[f165,f187,f183])).
% 36.72/5.06 fof(f195,plain,(
% 36.72/5.06 spl0_7 <=> member(sk0_17,sk0_14)),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f196,plain,(
% 36.72/5.06 member(sk0_17,sk0_14)|~spl0_7),
% 36.72/5.06 inference(component_clause,[status(thm)],[f195])).
% 36.72/5.06 fof(f198,plain,(
% 36.72/5.06 spl0_7|~spl0_4),
% 36.72/5.06 inference(split_clause,[status(thm)],[f167,f195,f183])).
% 36.72/5.06 fof(f199,plain,(
% 36.72/5.06 spl0_8 <=> ~ilf_type(X0,set_type)|~member(ordered_pair(X0,sk0_17),sk0_15)),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f200,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,set_type)|~member(ordered_pair(X0,sk0_17),sk0_15)|~spl0_8)),
% 36.72/5.06 inference(component_clause,[status(thm)],[f199])).
% 36.72/5.06 fof(f202,plain,(
% 36.72/5.06 spl0_8|~spl0_4),
% 36.72/5.06 inference(split_clause,[status(thm)],[f168,f199,f183])).
% 36.72/5.06 fof(f207,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 36.72/5.06 inference(duplicate_literals_removal,[status(esa)],[f86])).
% 36.72/5.06 fof(f208,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(range(X2,X0,X1),subset_type(X0)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f156,f157])).
% 36.72/5.06 fof(f210,plain,(
% 36.72/5.06 ![X0]: (~empty(power_set(X0)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f121,f157])).
% 36.72/5.06 fof(f212,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~member(X1,range_of(X0))|member(ordered_pair(sk0_0(X1,X0),X1),X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f41,f157])).
% 36.72/5.06 fof(f213,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,binary_relation_type)|relation_like(X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f84,f157])).
% 36.72/5.06 fof(f214,plain,(
% 36.72/5.06 relation_like(sk0_3)),
% 36.72/5.06 inference(resolution,[status(thm)],[f213,f88])).
% 36.72/5.06 fof(f215,plain,(
% 36.72/5.06 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f207,f157])).
% 36.72/5.06 fof(f217,plain,(
% 36.72/5.06 ![X0]: (ilf_type(sk0_4(X0),subset_type(X0)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f95,f157])).
% 36.72/5.06 fof(f218,plain,(
% 36.72/5.06 ![X0]: (relation_like(X0)|member(sk0_11(X0),X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f137,f157])).
% 36.72/5.06 fof(f219,plain,(
% 36.72/5.06 ![X0]: (empty(X0)|member(sk0_12(X0),X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f146,f157])).
% 36.72/5.06 fof(f220,plain,(
% 36.72/5.06 ![X0]: (empty(X0)|ilf_type(sk0_8(X0),member_type(X0)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f129,f157])).
% 36.72/5.06 fof(f221,plain,(
% 36.72/5.06 ![X0,X1]: (~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f144,f157])).
% 36.72/5.06 fof(f224,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|member(X1,range_of(X0))|~ilf_type(X2,set_type)|~member(ordered_pair(X2,X1),X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f42,f157])).
% 36.72/5.06 fof(f225,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|member(X1,range_of(X0))|~member(ordered_pair(X2,X1),X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f224,f157])).
% 36.72/5.06 fof(f226,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(ordered_pair(X2,X0),X1)|member(X2,domain_of(X1)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f46,f157])).
% 36.72/5.06 fof(f227,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|~member(ordered_pair(X1,X2),X0)|member(X1,domain_of(X0)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f226,f157])).
% 36.72/5.06 fof(f228,plain,(
% 36.72/5.06 ![X0]: (~member(X0,sk0_14)|member(ordered_pair(sk0_16(X0),X0),sk0_15)|~spl0_5)),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f188,f157])).
% 36.72/5.06 fof(f229,plain,(
% 36.72/5.06 $false|~spl0_0),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f170,f157])).
% 36.72/5.06 fof(f230,plain,(
% 36.72/5.06 ~spl0_0),
% 36.72/5.06 inference(contradiction_clause,[status(thm)],[f229])).
% 36.72/5.06 fof(f237,plain,(
% 36.72/5.06 ![X0]: (~member(ordered_pair(X0,sk0_17),sk0_15)|~spl0_8)),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f200,f157])).
% 36.72/5.06 fof(f238,plain,(
% 36.72/5.06 spl0_9 <=> ilf_type(sk0_15,binary_relation_type)),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f240,plain,(
% 36.72/5.06 ~ilf_type(sk0_15,binary_relation_type)|spl0_9),
% 36.72/5.06 inference(component_clause,[status(thm)],[f238])).
% 36.72/5.06 fof(f241,plain,(
% 36.72/5.06 spl0_10 <=> member(sk0_17,range_of(sk0_15))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f243,plain,(
% 36.72/5.06 ~member(sk0_17,range_of(sk0_15))|spl0_10),
% 36.72/5.06 inference(component_clause,[status(thm)],[f241])).
% 36.72/5.06 fof(f244,plain,(
% 36.72/5.06 ~ilf_type(sk0_15,binary_relation_type)|~member(sk0_17,range_of(sk0_15))|~spl0_8),
% 36.72/5.06 inference(resolution,[status(thm)],[f237,f212])).
% 36.72/5.06 fof(f245,plain,(
% 36.72/5.06 ~spl0_9|~spl0_10|~spl0_8),
% 36.72/5.06 inference(split_clause,[status(thm)],[f244,f238,f241,f199])).
% 36.72/5.06 fof(f246,plain,(
% 36.72/5.06 spl0_11 <=> ilf_type(sk0_14,set_type)),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f248,plain,(
% 36.72/5.06 ~ilf_type(sk0_14,set_type)|spl0_11),
% 36.72/5.06 inference(component_clause,[status(thm)],[f246])).
% 36.72/5.06 fof(f249,plain,(
% 36.72/5.06 spl0_12 <=> ilf_type(sk0_15,relation_type(sk0_13,sk0_14))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f251,plain,(
% 36.72/5.06 ~ilf_type(sk0_15,relation_type(sk0_13,sk0_14))|spl0_12),
% 36.72/5.06 inference(component_clause,[status(thm)],[f249])).
% 36.72/5.06 fof(f257,plain,(
% 36.72/5.06 $false|spl0_12),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f251,f163])).
% 36.72/5.06 fof(f258,plain,(
% 36.72/5.06 spl0_12),
% 36.72/5.06 inference(contradiction_clause,[status(thm)],[f257])).
% 36.72/5.06 fof(f259,plain,(
% 36.72/5.06 $false|spl0_11),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f248,f157])).
% 36.72/5.06 fof(f260,plain,(
% 36.72/5.06 spl0_11),
% 36.72/5.06 inference(contradiction_clause,[status(thm)],[f259])).
% 36.72/5.06 fof(f732,plain,(
% 36.72/5.06 ![X0,X1]: (member(X0,range_of(sk0_3))|~member(ordered_pair(X1,X0),sk0_3))),
% 36.72/5.06 inference(resolution,[status(thm)],[f225,f88])).
% 36.72/5.06 fof(f733,plain,(
% 36.72/5.06 spl0_14 <=> member(X0,range_of(sk0_3))|~member(X0,range_of(sk0_3))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f736,plain,(
% 36.72/5.06 spl0_15 <=> ilf_type(sk0_3,binary_relation_type)),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f738,plain,(
% 36.72/5.06 ~ilf_type(sk0_3,binary_relation_type)|spl0_15),
% 36.72/5.06 inference(component_clause,[status(thm)],[f736])).
% 36.72/5.06 fof(f739,plain,(
% 36.72/5.06 ![X0]: (member(X0,range_of(sk0_3))|~ilf_type(sk0_3,binary_relation_type)|~member(X0,range_of(sk0_3)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f732,f212])).
% 36.72/5.06 fof(f740,plain,(
% 36.72/5.06 spl0_14|~spl0_15),
% 36.72/5.06 inference(split_clause,[status(thm)],[f739,f733,f736])).
% 36.72/5.06 fof(f745,plain,(
% 36.72/5.06 $false|spl0_15),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f738,f88])).
% 36.72/5.06 fof(f746,plain,(
% 36.72/5.06 spl0_15),
% 36.72/5.06 inference(contradiction_clause,[status(thm)],[f745])).
% 36.72/5.06 fof(f747,plain,(
% 36.72/5.06 ![X0,X1]: (~member(ordered_pair(X0,X1),sk0_3)|member(X0,domain_of(sk0_3)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f227,f88])).
% 36.72/5.06 fof(f748,plain,(
% 36.72/5.06 spl0_16 <=> member(sk0_0(X0,sk0_3),domain_of(sk0_3))|~member(X0,range_of(sk0_3))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f751,plain,(
% 36.72/5.06 ![X0]: (member(sk0_0(X0,sk0_3),domain_of(sk0_3))|~ilf_type(sk0_3,binary_relation_type)|~member(X0,range_of(sk0_3)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f747,f212])).
% 36.72/5.06 fof(f752,plain,(
% 36.72/5.06 spl0_16|~spl0_15),
% 36.72/5.06 inference(split_clause,[status(thm)],[f751,f748,f736])).
% 36.72/5.06 fof(f758,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|member(sk0_1(X0,X1),X1)|member(sk0_1(X0,X1),X0)|X1=X0)),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f52,f157])).
% 36.72/5.06 fof(f759,plain,(
% 36.72/5.06 ![X0,X1]: (member(sk0_1(X0,X1),X1)|member(sk0_1(X0,X1),X0)|X1=X0)),
% 36.72/5.06 inference(resolution,[status(thm)],[f758,f157])).
% 36.72/5.06 fof(f760,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|X1=X0|~subset(X1,X0)|~subset(X0,X1))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f71,f157])).
% 36.72/5.06 fof(f761,plain,(
% 36.72/5.06 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f760,f157])).
% 36.72/5.06 fof(f762,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X1,X0)|member(sk0_6(X0,X1),X1))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f109,f157])).
% 36.72/5.06 fof(f763,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X1,X0)|~member(sk0_6(X0,X1),X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f110,f157])).
% 36.72/5.06 fof(f764,plain,(
% 36.72/5.06 ![X0,X1]: (subset(X0,X1)|~member(sk0_6(X1,X0),X1))),
% 36.72/5.06 inference(resolution,[status(thm)],[f763,f157])).
% 36.72/5.06 fof(f767,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f140,f157])).
% 36.72/5.06 fof(f768,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|relation_like(X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f767,f157])).
% 36.72/5.06 fof(f783,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|member(sk0_7(X0,X1),X1))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f118,f157])).
% 36.72/5.06 fof(f784,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|~member(sk0_7(X0,X1),X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f119,f157])).
% 36.72/5.06 fof(f785,plain,(
% 36.72/5.06 ![X0,X1]: (member(X0,power_set(X1))|~member(sk0_7(X1,X0),X1))),
% 36.72/5.06 inference(resolution,[status(thm)],[f784,f157])).
% 36.72/5.06 fof(f786,plain,(
% 36.72/5.06 ![X0]: (member(X0,power_set(X0))|~ilf_type(X0,set_type)|member(X0,power_set(X0)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f785,f783])).
% 36.72/5.06 fof(f787,plain,(
% 36.72/5.06 ![X0]: (member(X0,power_set(X0))|~ilf_type(X0,set_type))),
% 36.72/5.06 inference(duplicate_literals_removal,[status(esa)],[f786])).
% 36.72/5.06 fof(f788,plain,(
% 36.72/5.06 ![X0]: (member(X0,power_set(X0)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f787,f157])).
% 36.72/5.06 fof(f789,plain,(
% 36.72/5.06 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f125,f157])).
% 36.72/5.06 fof(f790,plain,(
% 36.72/5.06 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f789,f157])).
% 36.72/5.06 fof(f791,plain,(
% 36.72/5.06 ![X0]: (empty(X0)|member(sk0_8(X0),X0)|empty(X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f790,f220])).
% 36.72/5.06 fof(f792,plain,(
% 36.72/5.06 ![X0]: (empty(X0)|member(sk0_8(X0),X0))),
% 36.72/5.06 inference(duplicate_literals_removal,[status(esa)],[f791])).
% 36.72/5.06 fof(f793,plain,(
% 36.72/5.06 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f126,f157])).
% 36.72/5.06 fof(f794,plain,(
% 36.72/5.06 ![X0,X1]: (empty(X0)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f793,f157])).
% 36.72/5.06 fof(f807,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|ilf_type(X1,relation_type(X2,X0)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f62,f157])).
% 36.72/5.06 fof(f808,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|ilf_type(X0,relation_type(X1,X2)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f807,f157])).
% 36.72/5.06 fof(f809,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f63,f157])).
% 36.72/5.06 fof(f810,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f809,f157])).
% 36.72/5.06 fof(f3969,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|relation_like(X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f810,f768])).
% 36.72/5.06 fof(f3973,plain,(
% 36.72/5.06 relation_like(sk0_15)),
% 36.72/5.06 inference(resolution,[status(thm)],[f3969,f163])).
% 36.72/5.06 fof(f3974,plain,(
% 36.72/5.06 ilf_type(sk0_15,binary_relation_type)),
% 36.72/5.06 inference(resolution,[status(thm)],[f3973,f215])).
% 36.72/5.06 fof(f3975,plain,(
% 36.72/5.06 $false|spl0_9),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f3974,f240])).
% 36.72/5.06 fof(f3976,plain,(
% 36.72/5.06 spl0_9),
% 36.72/5.06 inference(contradiction_clause,[status(thm)],[f3975])).
% 36.72/5.06 fof(f3978,plain,(
% 36.72/5.06 ![X0,X1]: (~member(ordered_pair(X0,X1),sk0_15)|member(X0,domain_of(sk0_15)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f3974,f227])).
% 36.72/5.06 fof(f3979,plain,(
% 36.72/5.06 ![X0,X1]: (member(X0,range_of(sk0_15))|~member(ordered_pair(X1,X0),sk0_15))),
% 36.72/5.06 inference(resolution,[status(thm)],[f3974,f225])).
% 36.72/5.06 fof(f3985,plain,(
% 36.72/5.06 spl0_17 <=> member(sk0_0(X0,sk0_15),domain_of(sk0_15))|~member(X0,range_of(sk0_15))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f3988,plain,(
% 36.72/5.06 ![X0]: (member(sk0_0(X0,sk0_15),domain_of(sk0_15))|~ilf_type(sk0_15,binary_relation_type)|~member(X0,range_of(sk0_15)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f3978,f212])).
% 36.72/5.06 fof(f3989,plain,(
% 36.72/5.06 spl0_17|~spl0_9),
% 36.72/5.06 inference(split_clause,[status(thm)],[f3988,f3985,f238])).
% 36.72/5.06 fof(f4000,plain,(
% 36.72/5.06 ![X0]: (member(X0,range_of(sk0_15))|~member(X0,sk0_14)|~spl0_5)),
% 36.72/5.06 inference(resolution,[status(thm)],[f3979,f228])).
% 36.72/5.06 fof(f4001,plain,(
% 36.72/5.06 spl0_18 <=> member(X0,range_of(sk0_15))|~member(X0,range_of(sk0_15))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f4004,plain,(
% 36.72/5.06 ![X0]: (member(X0,range_of(sk0_15))|~ilf_type(sk0_15,binary_relation_type)|~member(X0,range_of(sk0_15)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f3979,f212])).
% 36.72/5.06 fof(f4005,plain,(
% 36.72/5.06 spl0_18|~spl0_9),
% 36.72/5.06 inference(split_clause,[status(thm)],[f4004,f4001,f238])).
% 36.72/5.06 fof(f4059,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f91,f157])).
% 36.72/5.06 fof(f4060,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f4059,f157])).
% 36.72/5.06 fof(f4061,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|empty(power_set(X1))|member(X0,power_set(X1)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f4060,f790])).
% 36.72/5.06 fof(f4062,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|member(X0,power_set(X1)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f4061,f210])).
% 36.72/5.06 fof(f4068,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X0,subset_type(X1))|~ilf_type(X0,member_type(power_set(X1))))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f92,f157])).
% 36.72/5.06 fof(f4069,plain,(
% 36.72/5.06 ![X0,X1]: (ilf_type(X0,subset_type(X1))|~ilf_type(X0,member_type(power_set(X1))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f4068,f157])).
% 36.72/5.06 fof(f4072,plain,(
% 36.72/5.06 ![X0,X1]: (ilf_type(X0,subset_type(X1))|empty(power_set(X1))|~member(X0,power_set(X1)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f4069,f794])).
% 36.72/5.06 fof(f4073,plain,(
% 36.72/5.06 ![X0,X1]: (ilf_type(X0,subset_type(X1))|~member(X0,power_set(X1)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f4072,f210])).
% 36.72/5.06 fof(f4088,plain,(
% 36.72/5.06 ![X0]: (ilf_type(X0,subset_type(X0)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f4073,f788])).
% 36.72/5.06 fof(f4089,plain,(
% 36.72/5.06 ![X0,X1]: (ilf_type(cross_product(X0,X1),relation_type(X0,X1)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f4088,f808])).
% 36.72/5.06 fof(f4090,plain,(
% 36.72/5.06 ![X0,X1]: (relation_like(cross_product(X0,X1)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f4088,f768])).
% 36.72/5.06 fof(f4091,plain,(
% 36.72/5.06 ![X0,X1]: (ilf_type(cross_product(X0,X1),binary_relation_type))),
% 36.72/5.06 inference(resolution,[status(thm)],[f4090,f215])).
% 36.72/5.06 fof(f4092,plain,(
% 36.72/5.06 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,domain_of(cross_product(X2,X3))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f4091,f227])).
% 36.72/5.06 fof(f4093,plain,(
% 36.72/5.06 ![X0,X1,X2,X3]: (member(X0,range_of(cross_product(X1,X2)))|~member(ordered_pair(X3,X0),cross_product(X1,X2)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f4091,f225])).
% 36.72/5.06 fof(f4101,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(X0,set_type)|X1=X0|member(sk0_5(X0,X1),X1)|member(sk0_5(X0,X1),X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f103,f157])).
% 36.72/5.06 fof(f4102,plain,(
% 36.72/5.06 ![X0,X1]: (X0=X1|member(sk0_5(X1,X0),X0)|member(sk0_5(X1,X0),X1))),
% 36.72/5.06 inference(resolution,[status(thm)],[f4101,f157])).
% 36.72/5.06 fof(f4109,plain,(
% 36.72/5.06 ![X0]: (~member(sk0_6(range_of(sk0_15),X0),sk0_14)|subset(X0,range_of(sk0_15))|~spl0_5)),
% 36.72/5.06 inference(resolution,[status(thm)],[f4000,f764])).
% 36.72/5.06 fof(f4167,plain,(
% 36.72/5.06 spl0_19 <=> subset(sk0_14,range_of(sk0_15))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f4168,plain,(
% 36.72/5.06 subset(sk0_14,range_of(sk0_15))|~spl0_19),
% 36.72/5.06 inference(component_clause,[status(thm)],[f4167])).
% 36.72/5.06 fof(f4170,plain,(
% 36.72/5.06 spl0_20 <=> ilf_type(range_of(sk0_15),set_type)),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f4172,plain,(
% 36.72/5.06 ~ilf_type(range_of(sk0_15),set_type)|spl0_20),
% 36.72/5.06 inference(component_clause,[status(thm)],[f4170])).
% 36.72/5.06 fof(f4173,plain,(
% 36.72/5.06 subset(sk0_14,range_of(sk0_15))|~ilf_type(range_of(sk0_15),set_type)|subset(sk0_14,range_of(sk0_15))|~spl0_5),
% 36.72/5.06 inference(resolution,[status(thm)],[f4109,f762])).
% 36.72/5.06 fof(f4174,plain,(
% 36.72/5.06 spl0_19|~spl0_20|~spl0_5),
% 36.72/5.06 inference(split_clause,[status(thm)],[f4173,f4167,f4170,f187])).
% 36.72/5.06 fof(f4175,plain,(
% 36.72/5.06 $false|spl0_20),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f4172,f157])).
% 36.72/5.06 fof(f4176,plain,(
% 36.72/5.06 spl0_20),
% 36.72/5.06 inference(contradiction_clause,[status(thm)],[f4175])).
% 36.72/5.06 fof(f4177,plain,(
% 36.72/5.06 spl0_21 <=> range_of(sk0_15)=sk0_14),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f4178,plain,(
% 36.72/5.06 range_of(sk0_15)=sk0_14|~spl0_21),
% 36.72/5.06 inference(component_clause,[status(thm)],[f4177])).
% 36.72/5.06 fof(f4179,plain,(
% 36.72/5.06 ~range_of(sk0_15)=sk0_14|spl0_21),
% 36.72/5.06 inference(component_clause,[status(thm)],[f4177])).
% 36.72/5.06 fof(f4180,plain,(
% 36.72/5.06 spl0_22 <=> subset(range_of(sk0_15),sk0_14)),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f4183,plain,(
% 36.72/5.06 range_of(sk0_15)=sk0_14|~subset(range_of(sk0_15),sk0_14)|~spl0_19),
% 36.72/5.06 inference(resolution,[status(thm)],[f4168,f761])).
% 36.72/5.06 fof(f4184,plain,(
% 36.72/5.06 spl0_21|~spl0_22|~spl0_19),
% 36.72/5.06 inference(split_clause,[status(thm)],[f4183,f4177,f4180,f4167])).
% 36.72/5.06 fof(f5178,plain,(
% 36.72/5.06 spl0_26 <=> member(X0,sk0_14)|~member(X0,range_of(sk0_15))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f6375,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f116,f157])).
% 36.72/5.06 fof(f6376,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~member(X2,X1)|member(X2,X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f6375,f157])).
% 36.72/5.06 fof(f6377,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f6376,f157])).
% 36.72/5.06 fof(f10661,plain,(
% 36.72/5.06 ![X0,X1]: (~member(X0,sk0_8(power_set(X1)))|member(X0,X1)|empty(power_set(X1)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f6377,f792])).
% 36.72/5.06 fof(f10662,plain,(
% 36.72/5.06 ![X0,X1]: (~member(X0,sk0_8(power_set(X1)))|member(X0,X1))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f10661,f210])).
% 36.72/5.06 fof(f10671,plain,(
% 36.72/5.06 ![X0,X1]: (~member(X0,sk0_12(power_set(X1)))|member(X0,X1)|empty(power_set(X1)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f6377,f219])).
% 36.72/5.06 fof(f10672,plain,(
% 36.72/5.06 ![X0,X1]: (~member(X0,sk0_12(power_set(X1)))|member(X0,X1))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f10671,f210])).
% 36.72/5.06 fof(f10675,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~member(X0,X1)|member(X0,X2)|~ilf_type(X1,subset_type(X2)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f6377,f4062])).
% 36.72/5.06 fof(f10679,plain,(
% 36.72/5.06 ![X0]: (member(sk0_8(sk0_8(power_set(X0))),X0)|empty(sk0_8(power_set(X0))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10662,f792])).
% 36.72/5.06 fof(f10682,plain,(
% 36.72/5.06 ![X0,X1]: (member(sk0_6(X0,sk0_8(power_set(X1))),X1)|~ilf_type(X0,set_type)|subset(sk0_8(power_set(X1)),X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10662,f762])).
% 36.72/5.06 fof(f10683,plain,(
% 36.72/5.06 ![X0,X1]: (member(sk0_6(X0,sk0_8(power_set(X1))),X1)|subset(sk0_8(power_set(X1)),X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f10682,f157])).
% 36.72/5.06 fof(f10688,plain,(
% 36.72/5.06 ![X0]: (member(sk0_12(sk0_8(power_set(X0))),X0)|empty(sk0_8(power_set(X0))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10662,f219])).
% 36.72/5.06 fof(f10689,plain,(
% 36.72/5.06 ![X0]: (member(sk0_11(sk0_8(power_set(X0))),X0)|relation_like(sk0_8(power_set(X0))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10662,f218])).
% 36.72/5.06 fof(f10692,plain,(
% 36.72/5.06 ![X0,X1]: (member(sk0_5(sk0_12(power_set(X0)),X1),X0)|X1=sk0_12(power_set(X0))|member(sk0_5(sk0_12(power_set(X0)),X1),X1))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10672,f4102])).
% 36.72/5.06 fof(f10693,plain,(
% 36.72/5.06 ![X0,X1]: (member(sk0_5(X0,sk0_12(power_set(X1))),X1)|sk0_12(power_set(X1))=X0|member(sk0_5(X0,sk0_12(power_set(X1))),X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10672,f4102])).
% 36.72/5.06 fof(f10694,plain,(
% 36.72/5.06 ![X0]: (member(sk0_8(sk0_12(power_set(X0))),X0)|empty(sk0_12(power_set(X0))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10672,f792])).
% 36.72/5.06 fof(f10697,plain,(
% 36.72/5.06 ![X0,X1]: (member(sk0_6(X0,sk0_12(power_set(X1))),X1)|~ilf_type(X0,set_type)|subset(sk0_12(power_set(X1)),X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10672,f762])).
% 36.72/5.06 fof(f10698,plain,(
% 36.72/5.06 ![X0,X1]: (member(sk0_6(X0,sk0_12(power_set(X1))),X1)|subset(sk0_12(power_set(X1)),X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f10697,f157])).
% 36.72/5.06 fof(f10703,plain,(
% 36.72/5.06 ![X0]: (member(sk0_12(sk0_12(power_set(X0))),X0)|empty(sk0_12(power_set(X0))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10672,f219])).
% 36.72/5.06 fof(f10704,plain,(
% 36.72/5.06 ![X0]: (member(sk0_11(sk0_12(power_set(X0))),X0)|relation_like(sk0_12(power_set(X0))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10672,f218])).
% 36.72/5.06 fof(f10714,plain,(
% 36.72/5.06 ![X0,X1]: (~member(X0,sk0_4(X1))|member(X0,X1))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10675,f217])).
% 36.72/5.06 fof(f10715,plain,(
% 36.72/5.06 ![X0,X1,X2,X3]: (~member(X0,range(X1,X2,X3))|member(X0,X2)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X1,X2)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10675,f208])).
% 36.72/5.06 fof(f10716,plain,(
% 36.72/5.06 ![X0,X1,X2,X3]: (~member(X0,range(X1,X2,X3))|member(X0,X2)|~ilf_type(X3,relation_type(X1,X2)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f10715,f157])).
% 36.72/5.06 fof(f10717,plain,(
% 36.72/5.06 ![X0,X1,X2,X3]: (~member(X0,X1)|member(X0,cross_product(X2,X3))|~ilf_type(X1,relation_type(X2,X3)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10675,f810])).
% 36.72/5.06 fof(f10721,plain,(
% 36.72/5.06 ![X0]: (member(sk0_8(sk0_4(X0)),X0)|empty(sk0_4(X0)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10714,f792])).
% 36.72/5.06 fof(f10722,plain,(
% 36.72/5.06 ![X0,X1]: (member(sk0_7(X0,sk0_4(X1)),X1)|~ilf_type(X0,set_type)|member(sk0_4(X1),power_set(X0)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10714,f783])).
% 36.72/5.06 fof(f10723,plain,(
% 36.72/5.06 ![X0,X1]: (member(sk0_7(X0,sk0_4(X1)),X1)|member(sk0_4(X1),power_set(X0)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f10722,f157])).
% 36.72/5.06 fof(f10724,plain,(
% 36.72/5.06 ![X0,X1]: (member(sk0_6(X0,sk0_4(X1)),X1)|~ilf_type(X0,set_type)|subset(sk0_4(X1),X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10714,f762])).
% 36.72/5.06 fof(f10725,plain,(
% 36.72/5.06 ![X0,X1]: (member(sk0_6(X0,sk0_4(X1)),X1)|subset(sk0_4(X1),X0))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f10724,f157])).
% 36.72/5.06 fof(f10730,plain,(
% 36.72/5.06 ![X0]: (member(sk0_12(sk0_4(X0)),X0)|empty(sk0_4(X0)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10714,f219])).
% 36.72/5.06 fof(f10731,plain,(
% 36.72/5.06 ![X0]: (member(sk0_11(sk0_4(X0)),X0)|relation_like(sk0_4(X0)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10714,f218])).
% 36.72/5.06 fof(f10738,plain,(
% 36.72/5.06 ![X0]: (empty(sk0_4(sk0_4(X0)))|member(sk0_8(sk0_4(sk0_4(X0))),X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10721,f10714])).
% 36.72/5.06 fof(f10743,plain,(
% 36.72/5.06 ![X0]: (empty(sk0_4(sk0_4(X0)))|member(sk0_12(sk0_4(sk0_4(X0))),X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10730,f10714])).
% 36.72/5.06 fof(f10748,plain,(
% 36.72/5.06 ![X0]: (relation_like(sk0_4(sk0_4(X0)))|member(sk0_11(sk0_4(sk0_4(X0))),X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10731,f10714])).
% 36.72/5.06 fof(f10892,plain,(
% 36.72/5.06 ![X0]: (~member(X0,sk0_15)|member(X0,cross_product(sk0_13,sk0_14)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10717,f163])).
% 36.72/5.06 fof(f10927,plain,(
% 36.72/5.06 ![X0]: (~member(sk0_7(cross_product(sk0_13,sk0_14),X0),sk0_15)|member(X0,power_set(cross_product(sk0_13,sk0_14))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10892,f785])).
% 36.72/5.06 fof(f10928,plain,(
% 36.72/5.06 ![X0]: (~member(sk0_6(cross_product(sk0_13,sk0_14),X0),sk0_15)|subset(X0,cross_product(sk0_13,sk0_14)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10892,f764])).
% 36.72/5.06 fof(f10937,plain,(
% 36.72/5.06 ![X0,X1]: (~member(ordered_pair(X0,X1),sk0_15)|member(X1,range_of(cross_product(sk0_13,sk0_14))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10892,f4093])).
% 36.72/5.06 fof(f10938,plain,(
% 36.72/5.06 ![X0,X1]: (~member(ordered_pair(X0,X1),sk0_15)|member(X0,domain_of(cross_product(sk0_13,sk0_14))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10892,f4092])).
% 36.72/5.06 fof(f10970,plain,(
% 36.72/5.06 ![X0,X1]: (~relation_like(X0)|~ilf_type(X1,set_type)|~member(X1,X0)|X1=ordered_pair(sk0_9(X1,X0),sk0_10(X1,X0)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f135,f157])).
% 36.72/5.06 fof(f10971,plain,(
% 36.72/5.06 ![X0,X1]: (~relation_like(X0)|~member(X1,X0)|X1=ordered_pair(sk0_9(X1,X0),sk0_10(X1,X0)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10970,f157])).
% 36.72/5.06 fof(f10975,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|domain(X2,X0,X1)=domain_of(X1))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f150,f157])).
% 36.72/5.06 fof(f10976,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|domain(X1,X2,X0)=domain_of(X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10975,f157])).
% 36.72/5.06 fof(f15331,plain,(
% 36.72/5.06 ![X0,X1]: (~member(ordered_pair(X0,sk0_6(range_of(cross_product(sk0_13,sk0_14)),X1)),sk0_15)|subset(X1,range_of(cross_product(sk0_13,sk0_14))))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10937,f764])).
% 36.72/5.06 fof(f15336,plain,(
% 36.72/5.06 spl0_27 <=> subset(sk0_4(sk0_15),cross_product(sk0_13,sk0_14))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f15339,plain,(
% 36.72/5.06 subset(sk0_4(sk0_15),cross_product(sk0_13,sk0_14))|subset(sk0_4(sk0_15),cross_product(sk0_13,sk0_14))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10928,f10725])).
% 36.72/5.06 fof(f15340,plain,(
% 36.72/5.06 spl0_27),
% 36.72/5.06 inference(split_clause,[status(thm)],[f15339,f15336])).
% 36.72/5.06 fof(f15341,plain,(
% 36.72/5.06 spl0_28 <=> subset(sk0_15,cross_product(sk0_13,sk0_14))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f15344,plain,(
% 36.72/5.06 spl0_29 <=> ilf_type(cross_product(sk0_13,sk0_14),set_type)),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f15346,plain,(
% 36.72/5.06 ~ilf_type(cross_product(sk0_13,sk0_14),set_type)|spl0_29),
% 36.72/5.06 inference(component_clause,[status(thm)],[f15344])).
% 36.72/5.06 fof(f15347,plain,(
% 36.72/5.06 subset(sk0_15,cross_product(sk0_13,sk0_14))|~ilf_type(cross_product(sk0_13,sk0_14),set_type)|subset(sk0_15,cross_product(sk0_13,sk0_14))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10928,f762])).
% 36.72/5.06 fof(f15348,plain,(
% 36.72/5.06 spl0_28|~spl0_29),
% 36.72/5.06 inference(split_clause,[status(thm)],[f15347,f15341,f15344])).
% 36.72/5.06 fof(f15349,plain,(
% 36.72/5.06 $false|spl0_29),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f15346,f157])).
% 36.72/5.06 fof(f15350,plain,(
% 36.72/5.06 spl0_29),
% 36.72/5.06 inference(contradiction_clause,[status(thm)],[f15349])).
% 36.72/5.06 fof(f15351,plain,(
% 36.72/5.06 spl0_30 <=> member(sk0_4(sk0_15),power_set(cross_product(sk0_13,sk0_14)))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f15354,plain,(
% 36.72/5.06 member(sk0_4(sk0_15),power_set(cross_product(sk0_13,sk0_14)))|member(sk0_4(sk0_15),power_set(cross_product(sk0_13,sk0_14)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10927,f10723])).
% 36.72/5.06 fof(f15355,plain,(
% 36.72/5.06 spl0_30),
% 36.72/5.06 inference(split_clause,[status(thm)],[f15354,f15351])).
% 36.72/5.06 fof(f15356,plain,(
% 36.72/5.06 spl0_31 <=> member(sk0_15,power_set(cross_product(sk0_13,sk0_14)))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f15359,plain,(
% 36.72/5.06 member(sk0_15,power_set(cross_product(sk0_13,sk0_14)))|~ilf_type(cross_product(sk0_13,sk0_14),set_type)|member(sk0_15,power_set(cross_product(sk0_13,sk0_14)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10927,f783])).
% 36.72/5.06 fof(f15360,plain,(
% 36.72/5.06 spl0_31|~spl0_29),
% 36.72/5.06 inference(split_clause,[status(thm)],[f15359,f15356,f15344])).
% 36.72/5.06 fof(f15362,plain,(
% 36.72/5.06 spl0_32 <=> subset(X0,range_of(cross_product(sk0_13,sk0_14)))|~member(sk0_6(range_of(cross_product(sk0_13,sk0_14)),X0),range_of(sk0_15))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f15365,plain,(
% 36.72/5.06 ![X0]: (subset(X0,range_of(cross_product(sk0_13,sk0_14)))|~ilf_type(sk0_15,binary_relation_type)|~member(sk0_6(range_of(cross_product(sk0_13,sk0_14)),X0),range_of(sk0_15)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f15331,f212])).
% 36.72/5.06 fof(f15366,plain,(
% 36.72/5.06 spl0_32|~spl0_9),
% 36.72/5.06 inference(split_clause,[status(thm)],[f15365,f15362,f238])).
% 36.72/5.06 fof(f15381,plain,(
% 36.72/5.06 ![X0,X1]: (domain(X0,X1,cross_product(X0,X1))=domain_of(cross_product(X0,X1)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10976,f4089])).
% 36.72/5.06 fof(f15387,plain,(
% 36.72/5.06 domain(sk0_13,sk0_14,sk0_15)=domain_of(sk0_15)),
% 36.72/5.06 inference(resolution,[status(thm)],[f10976,f163])).
% 36.72/5.06 fof(f15400,plain,(
% 36.72/5.06 ![X0]: (~member(X0,sk0_15)|X0=ordered_pair(sk0_9(X0,sk0_15),sk0_10(X0,sk0_15)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10971,f3973])).
% 36.72/5.06 fof(f15408,plain,(
% 36.72/5.06 ![X0]: (~member(X0,sk0_3)|X0=ordered_pair(sk0_9(X0,sk0_3),sk0_10(X0,sk0_3)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10971,f214])).
% 36.72/5.06 fof(f15548,plain,(
% 36.72/5.06 spl0_64 <=> ordered_pair(sk0_0(X0,sk0_15),X0)=ordered_pair(sk0_9(ordered_pair(sk0_0(X0,sk0_15),X0),sk0_15),sk0_10(ordered_pair(sk0_0(X0,sk0_15),X0),sk0_15))|~member(X0,range_of(sk0_15))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f15551,plain,(
% 36.72/5.06 ![X0]: (ordered_pair(sk0_0(X0,sk0_15),X0)=ordered_pair(sk0_9(ordered_pair(sk0_0(X0,sk0_15),X0),sk0_15),sk0_10(ordered_pair(sk0_0(X0,sk0_15),X0),sk0_15))|~ilf_type(sk0_15,binary_relation_type)|~member(X0,range_of(sk0_15)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f15400,f212])).
% 36.72/5.06 fof(f15552,plain,(
% 36.72/5.06 spl0_64|~spl0_9),
% 36.72/5.06 inference(split_clause,[status(thm)],[f15551,f15548,f238])).
% 36.72/5.06 fof(f15601,plain,(
% 36.72/5.06 spl0_75 <=> sk0_8(sk0_3)=ordered_pair(sk0_9(sk0_8(sk0_3),sk0_3),sk0_10(sk0_8(sk0_3),sk0_3))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f15602,plain,(
% 36.72/5.06 sk0_8(sk0_3)=ordered_pair(sk0_9(sk0_8(sk0_3),sk0_3),sk0_10(sk0_8(sk0_3),sk0_3))|~spl0_75),
% 36.72/5.06 inference(component_clause,[status(thm)],[f15601])).
% 36.72/5.06 fof(f15604,plain,(
% 36.72/5.06 spl0_76 <=> empty(sk0_3)),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f15605,plain,(
% 36.72/5.06 empty(sk0_3)|~spl0_76),
% 36.72/5.06 inference(component_clause,[status(thm)],[f15604])).
% 36.72/5.06 fof(f15607,plain,(
% 36.72/5.06 sk0_8(sk0_3)=ordered_pair(sk0_9(sk0_8(sk0_3),sk0_3),sk0_10(sk0_8(sk0_3),sk0_3))|empty(sk0_3)),
% 36.72/5.06 inference(resolution,[status(thm)],[f15408,f792])).
% 36.72/5.06 fof(f15608,plain,(
% 36.72/5.06 spl0_75|spl0_76),
% 36.72/5.06 inference(split_clause,[status(thm)],[f15607,f15601,f15604])).
% 36.72/5.06 fof(f15646,plain,(
% 36.72/5.06 spl0_82 <=> sk0_12(sk0_3)=ordered_pair(sk0_9(sk0_12(sk0_3),sk0_3),sk0_10(sk0_12(sk0_3),sk0_3))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f15647,plain,(
% 36.72/5.06 sk0_12(sk0_3)=ordered_pair(sk0_9(sk0_12(sk0_3),sk0_3),sk0_10(sk0_12(sk0_3),sk0_3))|~spl0_82),
% 36.72/5.06 inference(component_clause,[status(thm)],[f15646])).
% 36.72/5.06 fof(f15649,plain,(
% 36.72/5.06 sk0_12(sk0_3)=ordered_pair(sk0_9(sk0_12(sk0_3),sk0_3),sk0_10(sk0_12(sk0_3),sk0_3))|empty(sk0_3)),
% 36.72/5.06 inference(resolution,[status(thm)],[f15408,f219])).
% 36.72/5.06 fof(f15650,plain,(
% 36.72/5.06 spl0_82|spl0_76),
% 36.72/5.06 inference(split_clause,[status(thm)],[f15649,f15646,f15604])).
% 36.72/5.06 fof(f15691,plain,(
% 36.72/5.06 spl0_93 <=> ordered_pair(sk0_0(X0,sk0_3),X0)=ordered_pair(sk0_9(ordered_pair(sk0_0(X0,sk0_3),X0),sk0_3),sk0_10(ordered_pair(sk0_0(X0,sk0_3),X0),sk0_3))|~member(X0,range_of(sk0_3))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f15692,plain,(
% 36.72/5.06 ![X0]: (ordered_pair(sk0_0(X0,sk0_3),X0)=ordered_pair(sk0_9(ordered_pair(sk0_0(X0,sk0_3),X0),sk0_3),sk0_10(ordered_pair(sk0_0(X0,sk0_3),X0),sk0_3))|~member(X0,range_of(sk0_3))|~spl0_93)),
% 36.72/5.06 inference(component_clause,[status(thm)],[f15691])).
% 36.72/5.06 fof(f15694,plain,(
% 36.72/5.06 ![X0]: (ordered_pair(sk0_0(X0,sk0_3),X0)=ordered_pair(sk0_9(ordered_pair(sk0_0(X0,sk0_3),X0),sk0_3),sk0_10(ordered_pair(sk0_0(X0,sk0_3),X0),sk0_3))|~ilf_type(sk0_3,binary_relation_type)|~member(X0,range_of(sk0_3)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f15408,f212])).
% 36.72/5.06 fof(f15695,plain,(
% 36.72/5.06 spl0_93|~spl0_15),
% 36.72/5.06 inference(split_clause,[status(thm)],[f15694,f15691,f736])).
% 36.72/5.06 fof(f15720,plain,(
% 36.72/5.06 spl0_94 <=> subset(sk0_8(power_set(sk0_15)),cross_product(sk0_13,sk0_14))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f15723,plain,(
% 36.72/5.06 subset(sk0_8(power_set(sk0_15)),cross_product(sk0_13,sk0_14))|subset(sk0_8(power_set(sk0_15)),cross_product(sk0_13,sk0_14))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10683,f10928])).
% 36.72/5.06 fof(f15724,plain,(
% 36.72/5.06 spl0_94),
% 36.72/5.06 inference(split_clause,[status(thm)],[f15723,f15720])).
% 36.72/5.06 fof(f15740,plain,(
% 36.72/5.06 spl0_95 <=> subset(sk0_12(power_set(sk0_15)),cross_product(sk0_13,sk0_14))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f15743,plain,(
% 36.72/5.06 subset(sk0_12(power_set(sk0_15)),cross_product(sk0_13,sk0_14))|subset(sk0_12(power_set(sk0_15)),cross_product(sk0_13,sk0_14))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10698,f10928])).
% 36.72/5.06 fof(f15744,plain,(
% 36.72/5.06 spl0_95),
% 36.72/5.06 inference(split_clause,[status(thm)],[f15743,f15740])).
% 36.72/5.06 fof(f15762,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~member(X0,range(X1,X2,cross_product(X1,X2)))|member(X0,X2))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10716,f4089])).
% 36.72/5.06 fof(f15768,plain,(
% 36.72/5.06 ![X0]: (~member(X0,range(sk0_13,sk0_14,sk0_15))|member(X0,sk0_14))),
% 36.72/5.06 inference(resolution,[status(thm)],[f10716,f163])).
% 36.72/5.06 fof(f16032,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(domain(X2,X0,X1),subset_type(X2)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f152,f157])).
% 36.72/5.06 fof(f16033,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(domain(X1,X2,X0),subset_type(X1)))),
% 36.72/5.06 inference(resolution,[status(thm)],[f16032,f157])).
% 36.72/5.06 fof(f16034,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|range(X2,X0,X1)=range_of(X1))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f154,f157])).
% 36.72/5.06 fof(f16035,plain,(
% 36.72/5.06 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|range(X1,X2,X0)=range_of(X0))),
% 36.72/5.06 inference(resolution,[status(thm)],[f16034,f157])).
% 36.72/5.06 fof(f16039,plain,(
% 36.72/5.06 spl0_126 <=> ilf_type(domain_of(sk0_15),subset_type(sk0_13))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.06 fof(f16042,plain,(
% 36.72/5.06 ~ilf_type(sk0_15,relation_type(sk0_13,sk0_14))|ilf_type(domain_of(sk0_15),subset_type(sk0_13))),
% 36.72/5.06 inference(paramodulation,[status(thm)],[f15387,f16033])).
% 36.72/5.06 fof(f16043,plain,(
% 36.72/5.06 ~spl0_12|spl0_126),
% 36.72/5.06 inference(split_clause,[status(thm)],[f16042,f249,f16039])).
% 36.72/5.06 fof(f16047,plain,(
% 36.72/5.06 ![X0,X1]: (~ilf_type(cross_product(X0,X1),relation_type(X0,X1))|ilf_type(domain_of(cross_product(X0,X1)),subset_type(X0)))),
% 36.72/5.06 inference(paramodulation,[status(thm)],[f15381,f16033])).
% 36.72/5.06 fof(f16048,plain,(
% 36.72/5.06 ![X0,X1]: (ilf_type(domain_of(cross_product(X0,X1)),subset_type(X0)))),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f16047,f4089])).
% 36.72/5.06 fof(f16139,plain,(
% 36.72/5.06 ![X0]: (~ilf_type(X0,set_type)|~member(X0,sk0_3)|~spl0_76)),
% 36.72/5.06 inference(resolution,[status(thm)],[f15605,f221])).
% 36.72/5.06 fof(f16140,plain,(
% 36.72/5.06 ![X0]: (~member(X0,sk0_3)|~spl0_76)),
% 36.72/5.06 inference(forward_subsumption_resolution,[status(thm)],[f16139,f157])).
% 36.72/5.06 fof(f16176,plain,(
% 36.72/5.06 spl0_130 <=> ~member(X0,range_of(sk0_3))),
% 36.72/5.06 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16177,plain,(
% 36.72/5.07 ![X0]: (~member(X0,range_of(sk0_3))|~spl0_130)),
% 36.72/5.07 inference(component_clause,[status(thm)],[f16176])).
% 36.72/5.07 fof(f16179,plain,(
% 36.72/5.07 ![X0]: (~ilf_type(sk0_3,binary_relation_type)|~member(X0,range_of(sk0_3))|~spl0_76)),
% 36.72/5.07 inference(resolution,[status(thm)],[f16140,f212])).
% 36.72/5.07 fof(f16180,plain,(
% 36.72/5.07 ~spl0_15|spl0_130|~spl0_76),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16179,f736,f16176,f15604])).
% 36.72/5.07 fof(f16265,plain,(
% 36.72/5.07 spl0_133 <=> ilf_type(range_of(sk0_3),binary_relation_type)),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16268,plain,(
% 36.72/5.07 spl0_134 <=> ~member(X0,range_of(range_of(sk0_3)))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16271,plain,(
% 36.72/5.07 ![X0]: (~ilf_type(range_of(sk0_3),binary_relation_type)|~member(X0,range_of(range_of(sk0_3)))|~spl0_130)),
% 36.72/5.07 inference(resolution,[status(thm)],[f16177,f212])).
% 36.72/5.07 fof(f16272,plain,(
% 36.72/5.07 ~spl0_133|spl0_134|~spl0_130),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16271,f16265,f16268,f16176])).
% 36.72/5.07 fof(f16276,plain,(
% 36.72/5.07 spl0_135 <=> ordered_pair(sk0_0(sk0_5(range_of(sk0_3),range_of(sk0_3)),sk0_3),sk0_5(range_of(sk0_3),range_of(sk0_3)))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_5(range_of(sk0_3),range_of(sk0_3)),sk0_3),sk0_5(range_of(sk0_3),range_of(sk0_3))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_5(range_of(sk0_3),range_of(sk0_3)),sk0_3),sk0_5(range_of(sk0_3),range_of(sk0_3))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16279,plain,(
% 36.72/5.07 spl0_136 <=> range_of(sk0_3)=range_of(sk0_3)),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16282,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_5(range_of(sk0_3),range_of(sk0_3)),sk0_3),sk0_5(range_of(sk0_3),range_of(sk0_3)))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_5(range_of(sk0_3),range_of(sk0_3)),sk0_3),sk0_5(range_of(sk0_3),range_of(sk0_3))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_5(range_of(sk0_3),range_of(sk0_3)),sk0_3),sk0_5(range_of(sk0_3),range_of(sk0_3))),sk0_3))|range_of(sk0_3)=range_of(sk0_3)|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f4102])).
% 36.72/5.07 fof(f16283,plain,(
% 36.72/5.07 spl0_135|spl0_136|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16282,f16276,f16279,f15691])).
% 36.72/5.07 fof(f16288,plain,(
% 36.72/5.07 spl0_137 <=> ordered_pair(sk0_0(sk0_8(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_8(sk0_12(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_8(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_8(sk0_12(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_8(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_8(sk0_12(power_set(range_of(sk0_3))))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16291,plain,(
% 36.72/5.07 spl0_138 <=> empty(sk0_12(power_set(range_of(sk0_3))))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16294,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_8(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_8(sk0_12(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_8(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_8(sk0_12(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_8(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_8(sk0_12(power_set(range_of(sk0_3))))),sk0_3))|empty(sk0_12(power_set(range_of(sk0_3))))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f10694])).
% 36.72/5.07 fof(f16295,plain,(
% 36.72/5.07 spl0_137|spl0_138|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16294,f16288,f16291,f15691])).
% 36.72/5.07 fof(f16296,plain,(
% 36.72/5.07 spl0_139 <=> ordered_pair(sk0_0(sk0_8(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_8(sk0_8(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_8(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_8(sk0_8(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_8(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_8(sk0_8(power_set(range_of(sk0_3))))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16299,plain,(
% 36.72/5.07 spl0_140 <=> empty(sk0_8(power_set(range_of(sk0_3))))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16302,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_8(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_8(sk0_8(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_8(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_8(sk0_8(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_8(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_8(sk0_8(power_set(range_of(sk0_3))))),sk0_3))|empty(sk0_8(power_set(range_of(sk0_3))))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f10679])).
% 36.72/5.07 fof(f16303,plain,(
% 36.72/5.07 spl0_139|spl0_140|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16302,f16296,f16299,f15691])).
% 36.72/5.07 fof(f16304,plain,(
% 36.72/5.07 spl0_141 <=> ordered_pair(sk0_0(sk0_8(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_8(sk0_4(sk0_4(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_8(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_8(sk0_4(sk0_4(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_8(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_8(sk0_4(sk0_4(range_of(sk0_3))))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16307,plain,(
% 36.72/5.07 spl0_142 <=> empty(sk0_4(sk0_4(range_of(sk0_3))))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16310,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_8(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_8(sk0_4(sk0_4(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_8(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_8(sk0_4(sk0_4(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_8(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_8(sk0_4(sk0_4(range_of(sk0_3))))),sk0_3))|empty(sk0_4(sk0_4(range_of(sk0_3))))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f10738])).
% 36.72/5.07 fof(f16311,plain,(
% 36.72/5.07 spl0_141|spl0_142|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16310,f16304,f16307,f15691])).
% 36.72/5.07 fof(f16312,plain,(
% 36.72/5.07 spl0_143 <=> ordered_pair(sk0_0(sk0_8(sk0_4(range_of(sk0_3))),sk0_3),sk0_8(sk0_4(range_of(sk0_3))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_8(sk0_4(range_of(sk0_3))),sk0_3),sk0_8(sk0_4(range_of(sk0_3)))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_8(sk0_4(range_of(sk0_3))),sk0_3),sk0_8(sk0_4(range_of(sk0_3)))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16315,plain,(
% 36.72/5.07 spl0_144 <=> empty(sk0_4(range_of(sk0_3)))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16318,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_8(sk0_4(range_of(sk0_3))),sk0_3),sk0_8(sk0_4(range_of(sk0_3))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_8(sk0_4(range_of(sk0_3))),sk0_3),sk0_8(sk0_4(range_of(sk0_3)))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_8(sk0_4(range_of(sk0_3))),sk0_3),sk0_8(sk0_4(range_of(sk0_3)))),sk0_3))|empty(sk0_4(range_of(sk0_3)))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f10721])).
% 36.72/5.07 fof(f16319,plain,(
% 36.72/5.07 spl0_143|spl0_144|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16318,f16312,f16315,f15691])).
% 36.72/5.07 fof(f16320,plain,(
% 36.72/5.07 spl0_145 <=> ordered_pair(sk0_0(sk0_8(range_of(sk0_3)),sk0_3),sk0_8(range_of(sk0_3)))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_8(range_of(sk0_3)),sk0_3),sk0_8(range_of(sk0_3))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_8(range_of(sk0_3)),sk0_3),sk0_8(range_of(sk0_3))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16323,plain,(
% 36.72/5.07 spl0_146 <=> empty(range_of(sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16324,plain,(
% 36.72/5.07 empty(range_of(sk0_3))|~spl0_146),
% 36.72/5.07 inference(component_clause,[status(thm)],[f16323])).
% 36.72/5.07 fof(f16326,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_8(range_of(sk0_3)),sk0_3),sk0_8(range_of(sk0_3)))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_8(range_of(sk0_3)),sk0_3),sk0_8(range_of(sk0_3))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_8(range_of(sk0_3)),sk0_3),sk0_8(range_of(sk0_3))),sk0_3))|empty(range_of(sk0_3))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f792])).
% 36.72/5.07 fof(f16327,plain,(
% 36.72/5.07 spl0_145|spl0_146|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16326,f16320,f16323,f15691])).
% 36.72/5.07 fof(f16340,plain,(
% 36.72/5.07 spl0_147 <=> ordered_pair(sk0_0(sk0_1(range_of(sk0_3),range_of(sk0_3)),sk0_3),sk0_1(range_of(sk0_3),range_of(sk0_3)))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_1(range_of(sk0_3),range_of(sk0_3)),sk0_3),sk0_1(range_of(sk0_3),range_of(sk0_3))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_1(range_of(sk0_3),range_of(sk0_3)),sk0_3),sk0_1(range_of(sk0_3),range_of(sk0_3))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16343,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_1(range_of(sk0_3),range_of(sk0_3)),sk0_3),sk0_1(range_of(sk0_3),range_of(sk0_3)))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_1(range_of(sk0_3),range_of(sk0_3)),sk0_3),sk0_1(range_of(sk0_3),range_of(sk0_3))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_1(range_of(sk0_3),range_of(sk0_3)),sk0_3),sk0_1(range_of(sk0_3),range_of(sk0_3))),sk0_3))|range_of(sk0_3)=range_of(sk0_3)|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f759])).
% 36.72/5.07 fof(f16344,plain,(
% 36.72/5.07 spl0_147|spl0_136|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16343,f16340,f16279,f15691])).
% 36.72/5.07 fof(f16349,plain,(
% 36.72/5.07 spl0_148 <=> ordered_pair(sk0_0(sk0_12(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_12(sk0_12(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_12(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_12(sk0_12(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_12(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_12(sk0_12(power_set(range_of(sk0_3))))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16352,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_12(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_12(sk0_12(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_12(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_12(sk0_12(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_12(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_12(sk0_12(power_set(range_of(sk0_3))))),sk0_3))|empty(sk0_12(power_set(range_of(sk0_3))))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f10703])).
% 36.72/5.07 fof(f16353,plain,(
% 36.72/5.07 spl0_148|spl0_138|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16352,f16349,f16291,f15691])).
% 36.72/5.07 fof(f16354,plain,(
% 36.72/5.07 spl0_149 <=> ordered_pair(sk0_0(sk0_12(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_12(sk0_8(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_12(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_12(sk0_8(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_12(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_12(sk0_8(power_set(range_of(sk0_3))))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16357,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_12(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_12(sk0_8(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_12(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_12(sk0_8(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_12(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_12(sk0_8(power_set(range_of(sk0_3))))),sk0_3))|empty(sk0_8(power_set(range_of(sk0_3))))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f10688])).
% 36.72/5.07 fof(f16358,plain,(
% 36.72/5.07 spl0_149|spl0_140|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16357,f16354,f16299,f15691])).
% 36.72/5.07 fof(f16359,plain,(
% 36.72/5.07 spl0_150 <=> ordered_pair(sk0_0(sk0_12(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_12(sk0_4(sk0_4(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_12(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_12(sk0_4(sk0_4(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_12(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_12(sk0_4(sk0_4(range_of(sk0_3))))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16362,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_12(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_12(sk0_4(sk0_4(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_12(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_12(sk0_4(sk0_4(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_12(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_12(sk0_4(sk0_4(range_of(sk0_3))))),sk0_3))|empty(sk0_4(sk0_4(range_of(sk0_3))))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f10743])).
% 36.72/5.07 fof(f16363,plain,(
% 36.72/5.07 spl0_150|spl0_142|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16362,f16359,f16307,f15691])).
% 36.72/5.07 fof(f16364,plain,(
% 36.72/5.07 spl0_151 <=> ordered_pair(sk0_0(sk0_12(sk0_4(range_of(sk0_3))),sk0_3),sk0_12(sk0_4(range_of(sk0_3))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_12(sk0_4(range_of(sk0_3))),sk0_3),sk0_12(sk0_4(range_of(sk0_3)))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_12(sk0_4(range_of(sk0_3))),sk0_3),sk0_12(sk0_4(range_of(sk0_3)))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16367,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_12(sk0_4(range_of(sk0_3))),sk0_3),sk0_12(sk0_4(range_of(sk0_3))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_12(sk0_4(range_of(sk0_3))),sk0_3),sk0_12(sk0_4(range_of(sk0_3)))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_12(sk0_4(range_of(sk0_3))),sk0_3),sk0_12(sk0_4(range_of(sk0_3)))),sk0_3))|empty(sk0_4(range_of(sk0_3)))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f10730])).
% 36.72/5.07 fof(f16368,plain,(
% 36.72/5.07 spl0_151|spl0_144|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16367,f16364,f16315,f15691])).
% 36.72/5.07 fof(f16369,plain,(
% 36.72/5.07 spl0_152 <=> ordered_pair(sk0_0(sk0_12(range_of(sk0_3)),sk0_3),sk0_12(range_of(sk0_3)))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_12(range_of(sk0_3)),sk0_3),sk0_12(range_of(sk0_3))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_12(range_of(sk0_3)),sk0_3),sk0_12(range_of(sk0_3))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16372,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_12(range_of(sk0_3)),sk0_3),sk0_12(range_of(sk0_3)))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_12(range_of(sk0_3)),sk0_3),sk0_12(range_of(sk0_3))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_12(range_of(sk0_3)),sk0_3),sk0_12(range_of(sk0_3))),sk0_3))|empty(range_of(sk0_3))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f219])).
% 36.72/5.07 fof(f16373,plain,(
% 36.72/5.07 spl0_152|spl0_146|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16372,f16369,f16323,f15691])).
% 36.72/5.07 fof(f16374,plain,(
% 36.72/5.07 spl0_153 <=> ordered_pair(sk0_0(sk0_11(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_11(sk0_12(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_11(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_11(sk0_12(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_11(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_11(sk0_12(power_set(range_of(sk0_3))))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16377,plain,(
% 36.72/5.07 spl0_154 <=> relation_like(sk0_12(power_set(range_of(sk0_3))))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16380,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_11(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_11(sk0_12(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_11(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_11(sk0_12(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_11(sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_11(sk0_12(power_set(range_of(sk0_3))))),sk0_3))|relation_like(sk0_12(power_set(range_of(sk0_3))))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f10704])).
% 36.72/5.07 fof(f16381,plain,(
% 36.72/5.07 spl0_153|spl0_154|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16380,f16374,f16377,f15691])).
% 36.72/5.07 fof(f16382,plain,(
% 36.72/5.07 spl0_155 <=> ordered_pair(sk0_0(sk0_11(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_11(sk0_8(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_11(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_11(sk0_8(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_11(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_11(sk0_8(power_set(range_of(sk0_3))))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16385,plain,(
% 36.72/5.07 spl0_156 <=> relation_like(sk0_8(power_set(range_of(sk0_3))))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16388,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_11(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_11(sk0_8(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_11(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_11(sk0_8(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_11(sk0_8(power_set(range_of(sk0_3)))),sk0_3),sk0_11(sk0_8(power_set(range_of(sk0_3))))),sk0_3))|relation_like(sk0_8(power_set(range_of(sk0_3))))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f10689])).
% 36.72/5.07 fof(f16389,plain,(
% 36.72/5.07 spl0_155|spl0_156|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16388,f16382,f16385,f15691])).
% 36.72/5.07 fof(f16390,plain,(
% 36.72/5.07 spl0_157 <=> ordered_pair(sk0_0(sk0_11(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_11(sk0_4(sk0_4(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_11(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_11(sk0_4(sk0_4(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_11(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_11(sk0_4(sk0_4(range_of(sk0_3))))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16393,plain,(
% 36.72/5.07 spl0_158 <=> relation_like(sk0_4(sk0_4(range_of(sk0_3))))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16396,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_11(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_11(sk0_4(sk0_4(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_11(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_11(sk0_4(sk0_4(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_11(sk0_4(sk0_4(range_of(sk0_3)))),sk0_3),sk0_11(sk0_4(sk0_4(range_of(sk0_3))))),sk0_3))|relation_like(sk0_4(sk0_4(range_of(sk0_3))))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f10748])).
% 36.72/5.07 fof(f16397,plain,(
% 36.72/5.07 spl0_157|spl0_158|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16396,f16390,f16393,f15691])).
% 36.72/5.07 fof(f16398,plain,(
% 36.72/5.07 spl0_159 <=> ordered_pair(sk0_0(sk0_11(sk0_4(range_of(sk0_3))),sk0_3),sk0_11(sk0_4(range_of(sk0_3))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_11(sk0_4(range_of(sk0_3))),sk0_3),sk0_11(sk0_4(range_of(sk0_3)))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_11(sk0_4(range_of(sk0_3))),sk0_3),sk0_11(sk0_4(range_of(sk0_3)))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16401,plain,(
% 36.72/5.07 spl0_160 <=> relation_like(sk0_4(range_of(sk0_3)))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16404,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_11(sk0_4(range_of(sk0_3))),sk0_3),sk0_11(sk0_4(range_of(sk0_3))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_11(sk0_4(range_of(sk0_3))),sk0_3),sk0_11(sk0_4(range_of(sk0_3)))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_11(sk0_4(range_of(sk0_3))),sk0_3),sk0_11(sk0_4(range_of(sk0_3)))),sk0_3))|relation_like(sk0_4(range_of(sk0_3)))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f10731])).
% 36.72/5.07 fof(f16405,plain,(
% 36.72/5.07 spl0_159|spl0_160|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16404,f16398,f16401,f15691])).
% 36.72/5.07 fof(f16406,plain,(
% 36.72/5.07 spl0_161 <=> ordered_pair(sk0_0(sk0_11(range_of(sk0_3)),sk0_3),sk0_11(range_of(sk0_3)))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_11(range_of(sk0_3)),sk0_3),sk0_11(range_of(sk0_3))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_11(range_of(sk0_3)),sk0_3),sk0_11(range_of(sk0_3))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16409,plain,(
% 36.72/5.07 spl0_162 <=> relation_like(range_of(sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16412,plain,(
% 36.72/5.07 ordered_pair(sk0_0(sk0_11(range_of(sk0_3)),sk0_3),sk0_11(range_of(sk0_3)))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_11(range_of(sk0_3)),sk0_3),sk0_11(range_of(sk0_3))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_11(range_of(sk0_3)),sk0_3),sk0_11(range_of(sk0_3))),sk0_3))|relation_like(range_of(sk0_3))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f218])).
% 36.72/5.07 fof(f16413,plain,(
% 36.72/5.07 spl0_161|spl0_162|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16412,f16406,f16409,f15691])).
% 36.72/5.07 fof(f16414,plain,(
% 36.72/5.07 spl0_163 <=> ordered_pair(sk0_0(ordered_pair(sk0_0(X0,range_of(sk0_3)),X0),sk0_3),ordered_pair(sk0_0(X0,range_of(sk0_3)),X0))=ordered_pair(sk0_9(ordered_pair(sk0_0(ordered_pair(sk0_0(X0,range_of(sk0_3)),X0),sk0_3),ordered_pair(sk0_0(X0,range_of(sk0_3)),X0)),sk0_3),sk0_10(ordered_pair(sk0_0(ordered_pair(sk0_0(X0,range_of(sk0_3)),X0),sk0_3),ordered_pair(sk0_0(X0,range_of(sk0_3)),X0)),sk0_3))|~member(X0,range_of(range_of(sk0_3)))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f16417,plain,(
% 36.72/5.07 ![X0]: (ordered_pair(sk0_0(ordered_pair(sk0_0(X0,range_of(sk0_3)),X0),sk0_3),ordered_pair(sk0_0(X0,range_of(sk0_3)),X0))=ordered_pair(sk0_9(ordered_pair(sk0_0(ordered_pair(sk0_0(X0,range_of(sk0_3)),X0),sk0_3),ordered_pair(sk0_0(X0,range_of(sk0_3)),X0)),sk0_3),sk0_10(ordered_pair(sk0_0(ordered_pair(sk0_0(X0,range_of(sk0_3)),X0),sk0_3),ordered_pair(sk0_0(X0,range_of(sk0_3)),X0)),sk0_3))|~ilf_type(range_of(sk0_3),binary_relation_type)|~member(X0,range_of(range_of(sk0_3)))|~spl0_93)),
% 36.72/5.07 inference(resolution,[status(thm)],[f15692,f212])).
% 36.72/5.07 fof(f16418,plain,(
% 36.72/5.07 spl0_163|~spl0_133|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16417,f16414,f16265,f15691])).
% 36.72/5.07 fof(f16578,plain,(
% 36.72/5.07 ![X0]: (~ilf_type(X0,set_type)|~member(X0,range_of(sk0_3))|~spl0_146)),
% 36.72/5.07 inference(resolution,[status(thm)],[f16324,f221])).
% 36.72/5.07 fof(f16579,plain,(
% 36.72/5.07 ![X0]: (~member(X0,range_of(sk0_3))|~spl0_146)),
% 36.72/5.07 inference(forward_subsumption_resolution,[status(thm)],[f16578,f157])).
% 36.72/5.07 fof(f16659,plain,(
% 36.72/5.07 ![X0]: (~ilf_type(range_of(sk0_3),binary_relation_type)|~member(X0,range_of(range_of(sk0_3)))|~spl0_146)),
% 36.72/5.07 inference(resolution,[status(thm)],[f16579,f212])).
% 36.72/5.07 fof(f16660,plain,(
% 36.72/5.07 ~spl0_133|spl0_134|~spl0_146),
% 36.72/5.07 inference(split_clause,[status(thm)],[f16659,f16265,f16268,f16323])).
% 36.72/5.07 fof(f17042,plain,(
% 36.72/5.07 spl0_166 <=> member(sk0_12(sk0_3),sk0_15)),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17045,plain,(
% 36.72/5.07 spl0_167 <=> member(sk0_9(sk0_12(sk0_3),sk0_3),domain_of(sk0_15))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17048,plain,(
% 36.72/5.07 ~member(sk0_12(sk0_3),sk0_15)|member(sk0_9(sk0_12(sk0_3),sk0_3),domain_of(sk0_15))|~spl0_82),
% 36.72/5.07 inference(paramodulation,[status(thm)],[f15647,f3978])).
% 36.72/5.07 fof(f17049,plain,(
% 36.72/5.07 ~spl0_166|spl0_167|~spl0_82),
% 36.72/5.07 inference(split_clause,[status(thm)],[f17048,f17042,f17045,f15646])).
% 36.72/5.07 fof(f17050,plain,(
% 36.72/5.07 spl0_168 <=> member(sk0_8(sk0_3),sk0_15)),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17053,plain,(
% 36.72/5.07 spl0_169 <=> member(sk0_9(sk0_8(sk0_3),sk0_3),domain_of(sk0_15))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17056,plain,(
% 36.72/5.07 ~member(sk0_8(sk0_3),sk0_15)|member(sk0_9(sk0_8(sk0_3),sk0_3),domain_of(sk0_15))|~spl0_75),
% 36.72/5.07 inference(paramodulation,[status(thm)],[f15602,f3978])).
% 36.72/5.07 fof(f17057,plain,(
% 36.72/5.07 ~spl0_168|spl0_169|~spl0_75),
% 36.72/5.07 inference(split_clause,[status(thm)],[f17056,f17050,f17053,f15601])).
% 36.72/5.07 fof(f17244,plain,(
% 36.72/5.07 ![X0,X1,X2]: (~member(X0,domain_of(cross_product(X1,X2)))|member(X0,X1))),
% 36.72/5.07 inference(resolution,[status(thm)],[f16048,f10675])).
% 36.72/5.07 fof(f17285,plain,(
% 36.72/5.07 ![X0,X1]: (member(X0,sk0_13)|~member(ordered_pair(X0,X1),sk0_15))),
% 36.72/5.07 inference(resolution,[status(thm)],[f17244,f10938])).
% 36.72/5.07 fof(f17292,plain,(
% 36.72/5.07 spl0_172 <=> member(sk0_0(X0,sk0_15),sk0_13)|~member(X0,range_of(sk0_15))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17295,plain,(
% 36.72/5.07 ![X0]: (member(sk0_0(X0,sk0_15),sk0_13)|~ilf_type(sk0_15,binary_relation_type)|~member(X0,range_of(sk0_15)))),
% 36.72/5.07 inference(resolution,[status(thm)],[f17285,f212])).
% 36.72/5.07 fof(f17296,plain,(
% 36.72/5.07 spl0_172|~spl0_9),
% 36.72/5.07 inference(split_clause,[status(thm)],[f17295,f17292,f238])).
% 36.72/5.07 fof(f17297,plain,(
% 36.72/5.07 spl0_173 <=> member(sk0_9(sk0_12(sk0_3),sk0_3),sk0_13)),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17300,plain,(
% 36.72/5.07 member(sk0_9(sk0_12(sk0_3),sk0_3),sk0_13)|~member(sk0_12(sk0_3),sk0_15)|~spl0_82),
% 36.72/5.07 inference(paramodulation,[status(thm)],[f15647,f17285])).
% 36.72/5.07 fof(f17301,plain,(
% 36.72/5.07 spl0_173|~spl0_166|~spl0_82),
% 36.72/5.07 inference(split_clause,[status(thm)],[f17300,f17297,f17042,f15646])).
% 36.72/5.07 fof(f17302,plain,(
% 36.72/5.07 spl0_174 <=> member(sk0_9(sk0_8(sk0_3),sk0_3),sk0_13)),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17305,plain,(
% 36.72/5.07 member(sk0_9(sk0_8(sk0_3),sk0_3),sk0_13)|~member(sk0_8(sk0_3),sk0_15)|~spl0_75),
% 36.72/5.07 inference(paramodulation,[status(thm)],[f15602,f17285])).
% 36.72/5.07 fof(f17306,plain,(
% 36.72/5.07 spl0_174|~spl0_168|~spl0_75),
% 36.72/5.07 inference(split_clause,[status(thm)],[f17305,f17302,f17050,f15601])).
% 36.72/5.07 fof(f17328,plain,(
% 36.72/5.07 ![X0,X1]: (range(X0,X1,cross_product(X0,X1))=range_of(cross_product(X0,X1)))),
% 36.72/5.07 inference(resolution,[status(thm)],[f16035,f4089])).
% 36.72/5.07 fof(f17334,plain,(
% 36.72/5.07 range(sk0_13,sk0_14,sk0_15)=range_of(sk0_15)),
% 36.72/5.07 inference(resolution,[status(thm)],[f16035,f163])).
% 36.72/5.07 fof(f17335,plain,(
% 36.72/5.07 range(sk0_13,sk0_14,sk0_15)=sk0_14|~spl0_21),
% 36.72/5.07 inference(forward_demodulation,[status(thm)],[f4178,f17334])).
% 36.72/5.07 fof(f17336,plain,(
% 36.72/5.07 $false|spl0_4|~spl0_21),
% 36.72/5.07 inference(forward_subsumption_resolution,[status(thm)],[f17335,f185])).
% 36.72/5.07 fof(f17337,plain,(
% 36.72/5.07 spl0_4|~spl0_21),
% 36.72/5.07 inference(contradiction_clause,[status(thm)],[f17336])).
% 36.72/5.07 fof(f17338,plain,(
% 36.72/5.07 ![X0]: (~member(X0,range_of(sk0_15))|member(X0,sk0_14))),
% 36.72/5.07 inference(backward_demodulation,[status(thm)],[f17334,f15768])).
% 36.72/5.07 fof(f17340,plain,(
% 36.72/5.07 spl0_175 <=> ilf_type(range_of(sk0_15),subset_type(sk0_14))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17343,plain,(
% 36.72/5.07 ~ilf_type(sk0_14,set_type)|~ilf_type(sk0_15,relation_type(sk0_13,sk0_14))|ilf_type(range_of(sk0_15),subset_type(sk0_14))),
% 36.72/5.07 inference(paramodulation,[status(thm)],[f17334,f208])).
% 36.72/5.07 fof(f17344,plain,(
% 36.72/5.07 ~spl0_11|~spl0_12|spl0_175),
% 36.72/5.07 inference(split_clause,[status(thm)],[f17343,f246,f249,f17340])).
% 36.72/5.07 fof(f17406,plain,(
% 36.72/5.07 ![X0]: (member(sk0_6(X0,range_of(sk0_15)),sk0_14)|~ilf_type(X0,set_type)|subset(range_of(sk0_15),X0))),
% 36.72/5.07 inference(resolution,[status(thm)],[f17338,f762])).
% 36.72/5.07 fof(f17407,plain,(
% 36.72/5.07 ![X0]: (member(sk0_6(X0,range_of(sk0_15)),sk0_14)|subset(range_of(sk0_15),X0))),
% 36.72/5.07 inference(forward_subsumption_resolution,[status(thm)],[f17406,f157])).
% 36.72/5.07 fof(f17545,plain,(
% 36.72/5.07 ![X0,X1,X2]: (~member(X0,range_of(cross_product(X1,X2)))|member(X0,X2))),
% 36.72/5.07 inference(backward_demodulation,[status(thm)],[f17328,f15762])).
% 36.72/5.07 fof(f17646,plain,(
% 36.72/5.07 spl0_212 <=> member(sk0_12(sk0_3),sk0_3)),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17648,plain,(
% 36.72/5.07 ~member(sk0_12(sk0_3),sk0_3)|spl0_212),
% 36.72/5.07 inference(component_clause,[status(thm)],[f17646])).
% 36.72/5.07 fof(f17649,plain,(
% 36.72/5.07 spl0_213 <=> member(sk0_9(sk0_12(sk0_3),sk0_3),domain_of(sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17652,plain,(
% 36.72/5.07 ~member(sk0_12(sk0_3),sk0_3)|member(sk0_9(sk0_12(sk0_3),sk0_3),domain_of(sk0_3))|~spl0_82),
% 36.72/5.07 inference(paramodulation,[status(thm)],[f15647,f747])).
% 36.72/5.07 fof(f17653,plain,(
% 36.72/5.07 ~spl0_212|spl0_213|~spl0_82),
% 36.72/5.07 inference(split_clause,[status(thm)],[f17652,f17646,f17649,f15646])).
% 36.72/5.07 fof(f17654,plain,(
% 36.72/5.07 spl0_214 <=> member(sk0_8(sk0_3),sk0_3)),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17656,plain,(
% 36.72/5.07 ~member(sk0_8(sk0_3),sk0_3)|spl0_214),
% 36.72/5.07 inference(component_clause,[status(thm)],[f17654])).
% 36.72/5.07 fof(f17657,plain,(
% 36.72/5.07 spl0_215 <=> member(sk0_9(sk0_8(sk0_3),sk0_3),domain_of(sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17660,plain,(
% 36.72/5.07 ~member(sk0_8(sk0_3),sk0_3)|member(sk0_9(sk0_8(sk0_3),sk0_3),domain_of(sk0_3))|~spl0_75),
% 36.72/5.07 inference(paramodulation,[status(thm)],[f15602,f747])).
% 36.72/5.07 fof(f17661,plain,(
% 36.72/5.07 ~spl0_214|spl0_215|~spl0_75),
% 36.72/5.07 inference(split_clause,[status(thm)],[f17660,f17654,f17657,f15601])).
% 36.72/5.07 fof(f17682,plain,(
% 36.72/5.07 spl0_216 <=> member(sk0_10(sk0_12(sk0_3),sk0_3),range_of(sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17685,plain,(
% 36.72/5.07 member(sk0_10(sk0_12(sk0_3),sk0_3),range_of(sk0_3))|~member(sk0_12(sk0_3),sk0_3)|~spl0_82),
% 36.72/5.07 inference(paramodulation,[status(thm)],[f15647,f732])).
% 36.72/5.07 fof(f17686,plain,(
% 36.72/5.07 spl0_216|~spl0_212|~spl0_82),
% 36.72/5.07 inference(split_clause,[status(thm)],[f17685,f17682,f17646,f15646])).
% 36.72/5.07 fof(f17687,plain,(
% 36.72/5.07 spl0_217 <=> member(sk0_10(sk0_8(sk0_3),sk0_3),range_of(sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f17690,plain,(
% 36.72/5.07 member(sk0_10(sk0_8(sk0_3),sk0_3),range_of(sk0_3))|~member(sk0_8(sk0_3),sk0_3)|~spl0_75),
% 36.72/5.07 inference(paramodulation,[status(thm)],[f15602,f732])).
% 36.72/5.07 fof(f17691,plain,(
% 36.72/5.07 spl0_217|~spl0_214|~spl0_75),
% 36.72/5.07 inference(split_clause,[status(thm)],[f17690,f17687,f17654,f15601])).
% 36.72/5.07 fof(f17949,plain,(
% 36.72/5.07 empty(sk0_3)|spl0_212),
% 36.72/5.07 inference(resolution,[status(thm)],[f17648,f219])).
% 36.72/5.07 fof(f17950,plain,(
% 36.72/5.07 spl0_76|spl0_212),
% 36.72/5.07 inference(split_clause,[status(thm)],[f17949,f15604,f17646])).
% 36.72/5.07 fof(f17951,plain,(
% 36.72/5.07 empty(sk0_3)|spl0_214),
% 36.72/5.07 inference(resolution,[status(thm)],[f17656,f792])).
% 36.72/5.07 fof(f17952,plain,(
% 36.72/5.07 spl0_76|spl0_214),
% 36.72/5.07 inference(split_clause,[status(thm)],[f17951,f15604,f17654])).
% 36.72/5.07 fof(f18340,plain,(
% 36.72/5.07 spl0_231 <=> member(sk0_10(sk0_12(sk0_3),sk0_3),range_of(sk0_15))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f18343,plain,(
% 36.72/5.07 member(sk0_10(sk0_12(sk0_3),sk0_3),range_of(sk0_15))|~member(sk0_12(sk0_3),sk0_15)|~spl0_82),
% 36.72/5.07 inference(paramodulation,[status(thm)],[f15647,f3979])).
% 36.72/5.07 fof(f18344,plain,(
% 36.72/5.07 spl0_231|~spl0_166|~spl0_82),
% 36.72/5.07 inference(split_clause,[status(thm)],[f18343,f18340,f17042,f15646])).
% 36.72/5.07 fof(f18345,plain,(
% 36.72/5.07 spl0_232 <=> member(sk0_10(sk0_8(sk0_3),sk0_3),range_of(sk0_15))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f18348,plain,(
% 36.72/5.07 member(sk0_10(sk0_8(sk0_3),sk0_3),range_of(sk0_15))|~member(sk0_8(sk0_3),sk0_15)|~spl0_75),
% 36.72/5.07 inference(paramodulation,[status(thm)],[f15602,f3979])).
% 36.72/5.07 fof(f18349,plain,(
% 36.72/5.07 spl0_232|~spl0_168|~spl0_75),
% 36.72/5.07 inference(split_clause,[status(thm)],[f18348,f18345,f17050,f15601])).
% 36.72/5.07 fof(f18368,plain,(
% 36.72/5.07 subset(range_of(sk0_15),sk0_14)|subset(range_of(sk0_15),sk0_14)),
% 36.72/5.07 inference(resolution,[status(thm)],[f17407,f764])).
% 36.72/5.07 fof(f18369,plain,(
% 36.72/5.07 spl0_22),
% 36.72/5.07 inference(split_clause,[status(thm)],[f18368,f4180])).
% 36.72/5.07 fof(f18370,plain,(
% 36.72/5.07 range_of(sk0_15)=sk0_14|~spl0_21),
% 36.72/5.07 inference(forward_demodulation,[status(thm)],[f17334,f17335])).
% 36.72/5.07 fof(f18371,plain,(
% 36.72/5.07 range_of(sk0_15)=sk0_14|~spl0_4),
% 36.72/5.07 inference(forward_demodulation,[status(thm)],[f17334,f184])).
% 36.72/5.07 fof(f18390,plain,(
% 36.72/5.07 ![X0,X1]: (~member(ordered_pair(X0,X1),sk0_15)|member(X1,sk0_14))),
% 36.72/5.07 inference(resolution,[status(thm)],[f10937,f17545])).
% 36.72/5.07 fof(f18426,plain,(
% 36.72/5.07 ![X0]: (member(X0,sk0_14)|~ilf_type(sk0_15,binary_relation_type)|~member(X0,range_of(sk0_15)))),
% 36.72/5.07 inference(resolution,[status(thm)],[f18390,f212])).
% 36.72/5.07 fof(f18427,plain,(
% 36.72/5.07 spl0_26|~spl0_9),
% 36.72/5.07 inference(split_clause,[status(thm)],[f18426,f5178,f238])).
% 36.72/5.07 fof(f18433,plain,(
% 36.72/5.07 spl0_237 <=> member(sk0_10(sk0_12(sk0_3),sk0_3),sk0_14)),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f18436,plain,(
% 36.72/5.07 ~member(sk0_12(sk0_3),sk0_15)|member(sk0_10(sk0_12(sk0_3),sk0_3),sk0_14)|~spl0_82),
% 36.72/5.07 inference(paramodulation,[status(thm)],[f15647,f18390])).
% 36.72/5.07 fof(f18437,plain,(
% 36.72/5.07 ~spl0_166|spl0_237|~spl0_82),
% 36.72/5.07 inference(split_clause,[status(thm)],[f18436,f17042,f18433,f15646])).
% 36.72/5.07 fof(f18438,plain,(
% 36.72/5.07 spl0_238 <=> member(sk0_10(sk0_8(sk0_3),sk0_3),sk0_14)),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f18441,plain,(
% 36.72/5.07 ~member(sk0_8(sk0_3),sk0_15)|member(sk0_10(sk0_8(sk0_3),sk0_3),sk0_14)|~spl0_75),
% 36.72/5.07 inference(paramodulation,[status(thm)],[f15602,f18390])).
% 36.72/5.07 fof(f18442,plain,(
% 36.72/5.07 ~spl0_168|spl0_238|~spl0_75),
% 36.72/5.07 inference(split_clause,[status(thm)],[f18441,f17050,f18438,f15601])).
% 36.72/5.07 fof(f18998,plain,(
% 36.72/5.07 spl0_273 <=> range_of(sk0_3)=sk0_12(power_set(range_of(sk0_3)))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f19001,plain,(
% 36.72/5.07 spl0_274 <=> ordered_pair(sk0_0(sk0_5(sk0_12(power_set(range_of(sk0_3))),range_of(sk0_3)),sk0_3),sk0_5(sk0_12(power_set(range_of(sk0_3))),range_of(sk0_3)))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_5(sk0_12(power_set(range_of(sk0_3))),range_of(sk0_3)),sk0_3),sk0_5(sk0_12(power_set(range_of(sk0_3))),range_of(sk0_3))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_5(sk0_12(power_set(range_of(sk0_3))),range_of(sk0_3)),sk0_3),sk0_5(sk0_12(power_set(range_of(sk0_3))),range_of(sk0_3))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f19004,plain,(
% 36.72/5.07 range_of(sk0_3)=sk0_12(power_set(range_of(sk0_3)))|ordered_pair(sk0_0(sk0_5(sk0_12(power_set(range_of(sk0_3))),range_of(sk0_3)),sk0_3),sk0_5(sk0_12(power_set(range_of(sk0_3))),range_of(sk0_3)))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_5(sk0_12(power_set(range_of(sk0_3))),range_of(sk0_3)),sk0_3),sk0_5(sk0_12(power_set(range_of(sk0_3))),range_of(sk0_3))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_5(sk0_12(power_set(range_of(sk0_3))),range_of(sk0_3)),sk0_3),sk0_5(sk0_12(power_set(range_of(sk0_3))),range_of(sk0_3))),sk0_3))|~spl0_93),
% 36.72/5.07 inference(resolution,[status(thm)],[f10692,f15692])).
% 36.72/5.07 fof(f19005,plain,(
% 36.72/5.07 spl0_273|spl0_274|~spl0_93),
% 36.72/5.07 inference(split_clause,[status(thm)],[f19004,f18998,f19001,f15691])).
% 36.72/5.07 fof(f19107,plain,(
% 36.72/5.07 spl0_281 <=> ordered_pair(sk0_0(sk0_5(range_of(sk0_3),sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_5(range_of(sk0_3),sk0_12(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_5(range_of(sk0_3),sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_5(range_of(sk0_3),sk0_12(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_5(range_of(sk0_3),sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_5(range_of(sk0_3),sk0_12(power_set(range_of(sk0_3))))),sk0_3))),
% 36.72/5.07 introduced(split_symbol_definition)).
% 36.72/5.07 fof(f19110,plain,(
% 36.72/5.07 sk0_12(power_set(range_of(sk0_3)))=range_of(sk0_3)|ordered_pair(sk0_0(sk0_5(range_of(sk0_3),sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_5(range_of(sk0_3),sk0_12(power_set(range_of(sk0_3)))))=ordered_pair(sk0_9(ordered_pair(sk0_0(sk0_5(range_of(sk0_3),sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_5(range_of(sk0_3),sk0_12(power_set(range_of(sk0_3))))),sk0_3),sk0_10(ordered_pair(sk0_0(sk0_5(range_of(sk0_3),sk0_12(power_set(range_of(sk0_3)))),sk0_3),sk0_5(range_of(sk0_3),sk0_12(power_set(range_of(sk0_3))))),sk0_3))|~spl0_93),
% 36.72/5.09 inference(resolution,[status(thm)],[f10693,f15692])).
% 36.72/5.09 fof(f19111,plain,(
% 36.72/5.09 spl0_273|spl0_281|~spl0_93),
% 36.72/5.09 inference(split_clause,[status(thm)],[f19110,f18998,f19107,f15691])).
% 36.72/5.09 fof(f19220,plain,(
% 36.72/5.09 ~member(sk0_17,sk0_14)|~spl0_21|spl0_10),
% 36.72/5.09 inference(backward_demodulation,[status(thm)],[f18370,f243])).
% 36.72/5.09 fof(f19221,plain,(
% 36.72/5.09 $false|~spl0_7|~spl0_21|spl0_10),
% 36.72/5.09 inference(forward_subsumption_resolution,[status(thm)],[f19220,f196])).
% 36.72/5.09 fof(f19222,plain,(
% 36.72/5.09 ~spl0_7|~spl0_21|spl0_10),
% 36.72/5.09 inference(contradiction_clause,[status(thm)],[f19221])).
% 36.72/5.09 fof(f19226,plain,(
% 36.72/5.09 ~sk0_14=sk0_14|~spl0_4|spl0_21),
% 36.72/5.09 inference(forward_demodulation,[status(thm)],[f18371,f4179])).
% 36.72/5.09 fof(f19227,plain,(
% 36.72/5.09 $false|~spl0_4|spl0_21),
% 36.72/5.09 inference(trivial_equality_resolution,[status(esa)],[f19226])).
% 36.72/5.09 fof(f19228,plain,(
% 36.72/5.09 ~spl0_4|spl0_21),
% 36.72/5.09 inference(contradiction_clause,[status(thm)],[f19227])).
% 36.72/5.09 fof(f19229,plain,(
% 36.72/5.09 $false),
% 36.72/5.09 inference(sat_refutation,[status(thm)],[f175,f179,f190,f198,f202,f230,f245,f258,f260,f740,f746,f752,f3976,f3989,f4005,f4174,f4176,f4184,f15340,f15348,f15350,f15355,f15360,f15366,f15552,f15608,f15650,f15695,f15724,f15744,f16043,f16180,f16272,f16283,f16295,f16303,f16311,f16319,f16327,f16344,f16353,f16358,f16363,f16368,f16373,f16381,f16389,f16397,f16405,f16413,f16418,f16660,f17049,f17057,f17296,f17301,f17306,f17337,f17344,f17653,f17661,f17686,f17691,f17950,f17952,f18344,f18349,f18369,f18427,f18437,f18442,f19005,f19111,f19222,f19228])).
% 36.72/5.09 % SZS output end CNFRefutation for theBenchmark.p
% 37.36/5.14 % Elapsed time: 4.820686 seconds
% 37.36/5.14 % CPU time: 37.436725 seconds
% 37.36/5.14 % Memory used: 384.376 MB
%------------------------------------------------------------------------------