TSTP Solution File: SET659+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET659+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 : Tue Apr 30 20:40:07 EDT 2024
% Result : Theorem 6.67s 1.18s
% Output : CNFRefutation 6.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET659+3 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n012.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 : Mon Apr 29 21:38:12 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 6.67/1.18 % Refutation found
% 6.67/1.18 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.67/1.18 % SZS output start CNFRefutation for theBenchmark
% 6.67/1.18 fof(f1,axiom,(
% 6.67/1.18 (! [B] :( ilf_type(B,binary_relation_type)=> (! [C] :( ilf_type(C,set_type)=> ( member(C,domain_of(B))<=> (? [D] :( ilf_type(D,set_type)& member(ordered_pair(C,D),B) ) )) ) )) )),
% 6.67/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.67/1.18 fof(f3,axiom,(
% 6.67/1.18 (! [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)) ) ) ) )) )) )),
% 6.67/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.67/1.18 fof(f4,axiom,(
% 6.67/1.18 (! [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 ) ) )) )),
% 6.67/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.67/1.18 fof(f5,axiom,(
% 6.67/1.18 (! [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)) ) ) )) )) )) )) )),
% 6.67/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.67/1.18 fof(f7,axiom,(
% 6.67/1.18 (! [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))) ) )) ) )) )),
% 6.67/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.67/1.18 fof(f9,axiom,(
% 6.67/1.18 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( B = C<=> ( subset(B,C)& subset(C,B) ) ) ) )) )),
% 6.67/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.67/1.18 fof(f14,axiom,(
% 6.67/1.18 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> unordered_pair(B,C) = unordered_pair(C,B) ) )) )),
% 6.67/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.67/1.18 fof(f15,axiom,(
% 6.67/1.18 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f16,axiom,(
% 6.83/1.18 (? [B] : ilf_type(B,binary_relation_type) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f17,axiom,(
% 6.83/1.18 (! [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))) ) ) )) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f19,axiom,(
% 6.83/1.18 (! [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) ) ) )) ) )) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f20,axiom,(
% 6.83/1.18 (! [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) ) ) )) ) )) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f22,axiom,(
% 6.83/1.18 (! [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) ) ) )) ) )) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f23,axiom,(
% 6.83/1.18 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f24,axiom,(
% 6.83/1.18 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f26,axiom,(
% 6.83/1.18 (! [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) ) )) )) ) )) ) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f27,axiom,(
% 6.83/1.18 (! [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) ) )) )) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f28,axiom,(
% 6.83/1.18 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f30,axiom,(
% 6.83/1.18 (! [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) ) )) )) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f31,axiom,(
% 6.83/1.18 (! [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)) ) )) )) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f32,axiom,(
% 6.83/1.18 (! [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) ) )) )) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f33,axiom,(
% 6.83/1.18 (! [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)) ) )) )) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f34,axiom,(
% 6.83/1.18 (! [B] : ilf_type(B,set_type) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f35,conjecture,(
% 6.83/1.18 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(C,B))=> ( (! [E] :( ilf_type(E,set_type)=> ( member(E,C)=> (? [F] :( ilf_type(F,set_type)& member(ordered_pair(E,F),D) ) )) ))<=> domain(C,B,D) = C ) ) )) )) )),
% 6.83/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.83/1.18 fof(f36,negated_conjecture,(
% 6.83/1.18 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(C,B))=> ( (! [E] :( ilf_type(E,set_type)=> ( member(E,C)=> (? [F] :( ilf_type(F,set_type)& member(ordered_pair(E,F),D) ) )) ))<=> domain(C,B,D) = C ) ) )) )) ))),
% 6.83/1.18 inference(negated_conjecture,[status(cth)],[f35])).
% 6.83/1.18 fof(f37,plain,(
% 6.83/1.18 ![B]: (~ilf_type(B,binary_relation_type)|(![C]: (~ilf_type(C,set_type)|(member(C,domain_of(B))<=>(?[D]: (ilf_type(D,set_type)&member(ordered_pair(C,D),B)))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 6.83/1.18 fof(f38,plain,(
% 6.83/1.18 ![B]: (~ilf_type(B,binary_relation_type)|(![C]: (~ilf_type(C,set_type)|((~member(C,domain_of(B))|(?[D]: (ilf_type(D,set_type)&member(ordered_pair(C,D),B))))&(member(C,domain_of(B))|(![D]: (~ilf_type(D,set_type)|~member(ordered_pair(C,D),B))))))))),
% 6.83/1.18 inference(NNF_transformation,[status(esa)],[f37])).
% 6.83/1.18 fof(f39,plain,(
% 6.83/1.18 ![B]: (~ilf_type(B,binary_relation_type)|(![C]: (~ilf_type(C,set_type)|((~member(C,domain_of(B))|(ilf_type(sk0_0(C,B),set_type)&member(ordered_pair(C,sk0_0(C,B)),B)))&(member(C,domain_of(B))|(![D]: (~ilf_type(D,set_type)|~member(ordered_pair(C,D),B))))))))),
% 6.83/1.18 inference(skolemization,[status(esa)],[f38])).
% 6.83/1.18 fof(f41,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~ilf_type(X1,set_type)|~member(X1,domain_of(X0))|member(ordered_pair(X1,sk0_0(X1,X0)),X0))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f39])).
% 6.83/1.18 fof(f42,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|~ilf_type(X1,set_type)|member(X1,domain_of(X0))|~ilf_type(X2,set_type)|~member(ordered_pair(X1,X2),X0))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f39])).
% 6.83/1.18 fof(f45,plain,(
% 6.83/1.18 ![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)))))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 6.83/1.18 fof(f47,plain,(
% 6.83/1.18 ![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(X1,range_of(X2)))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f45])).
% 6.83/1.18 fof(f48,plain,(
% 6.83/1.18 ![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))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 6.83/1.18 fof(f49,plain,(
% 6.83/1.18 ![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))))),
% 6.83/1.18 inference(NNF_transformation,[status(esa)],[f48])).
% 6.83/1.18 fof(f50,plain,(
% 6.83/1.18 ![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))))),
% 6.83/1.18 inference(skolemization,[status(esa)],[f49])).
% 6.83/1.18 fof(f52,plain,(
% 6.83/1.18 ![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)),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f50])).
% 6.83/1.18 fof(f54,plain,(
% 6.83/1.18 ![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))))))))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 6.83/1.18 fof(f55,plain,(
% 6.83/1.18 ![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)))))))))))))),
% 6.83/1.18 inference(NNF_transformation,[status(esa)],[f54])).
% 6.83/1.18 fof(f56,plain,(
% 6.83/1.18 (![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)))))))))))),
% 6.83/1.18 inference(miniscoping,[status(esa)],[f55])).
% 6.83/1.18 fof(f57,plain,(
% 6.83/1.18 ![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)))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f56])).
% 6.83/1.18 fof(f58,plain,(
% 6.83/1.18 ![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)))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f56])).
% 6.83/1.18 fof(f61,plain,(
% 6.83/1.18 ![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)))))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 6.83/1.18 fof(f63,plain,(
% 6.83/1.18 ![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))))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f61])).
% 6.83/1.18 fof(f67,plain,(
% 6.83/1.18 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(B=C<=>(subset(B,C)&subset(C,B))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 6.83/1.18 fof(f68,plain,(
% 6.83/1.18 ![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)))))))),
% 6.83/1.18 inference(NNF_transformation,[status(esa)],[f67])).
% 6.83/1.18 fof(f71,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f68])).
% 6.83/1.18 fof(f80,plain,(
% 6.83/1.18 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|unordered_pair(B,C)=unordered_pair(C,B))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 6.83/1.18 fof(f81,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f80])).
% 6.83/1.18 fof(f82,plain,(
% 6.83/1.18 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 6.83/1.18 fof(f83,plain,(
% 6.83/1.18 ![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)))))),
% 6.83/1.18 inference(NNF_transformation,[status(esa)],[f82])).
% 6.83/1.18 fof(f86,plain,(
% 6.83/1.18 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f83])).
% 6.83/1.18 fof(f87,plain,(
% 6.83/1.18 ilf_type(sk0_3,binary_relation_type)),
% 6.83/1.18 inference(skolemization,[status(esa)],[f16])).
% 6.83/1.18 fof(f88,plain,(
% 6.83/1.18 ilf_type(sk0_3,binary_relation_type)),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f87])).
% 6.83/1.18 fof(f89,plain,(
% 6.83/1.18 ![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)))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 6.83/1.18 fof(f90,plain,(
% 6.83/1.18 ![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))))))))),
% 6.83/1.18 inference(NNF_transformation,[status(esa)],[f89])).
% 6.83/1.18 fof(f91,plain,(
% 6.83/1.18 ![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))))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f90])).
% 6.83/1.18 fof(f92,plain,(
% 6.83/1.18 ![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))))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f90])).
% 6.83/1.18 fof(f96,plain,(
% 6.83/1.18 ![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))))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 6.83/1.18 fof(f97,plain,(
% 6.83/1.18 ![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))))))))))),
% 6.83/1.18 inference(NNF_transformation,[status(esa)],[f96])).
% 6.83/1.18 fof(f98,plain,(
% 6.83/1.18 ![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)))))))))),
% 6.83/1.18 inference(skolemization,[status(esa)],[f97])).
% 6.83/1.18 fof(f102,plain,(
% 6.83/1.18 ![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))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f98])).
% 6.83/1.18 fof(f103,plain,(
% 6.83/1.18 ![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))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f98])).
% 6.83/1.18 fof(f104,plain,(
% 6.83/1.18 ![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))))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 6.83/1.18 fof(f105,plain,(
% 6.83/1.18 ![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)))))))))),
% 6.83/1.18 inference(NNF_transformation,[status(esa)],[f104])).
% 6.83/1.18 fof(f106,plain,(
% 6.83/1.18 ![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))))))))),
% 6.83/1.18 inference(skolemization,[status(esa)],[f105])).
% 6.83/1.18 fof(f107,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X0,X1)|~ilf_type(X2,set_type)|~member(X2,X0)|member(X2,X1))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f106])).
% 6.83/1.18 fof(f109,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|member(sk0_6(X1,X0),X0))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f106])).
% 6.83/1.18 fof(f110,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|~member(sk0_6(X1,X0),X1))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f106])).
% 6.83/1.18 fof(f113,plain,(
% 6.83/1.18 ![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))))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 6.83/1.18 fof(f114,plain,(
% 6.83/1.18 ![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)))))))))),
% 6.83/1.18 inference(NNF_transformation,[status(esa)],[f113])).
% 6.83/1.18 fof(f115,plain,(
% 6.83/1.18 ![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))))))))),
% 6.83/1.18 inference(skolemization,[status(esa)],[f114])).
% 6.83/1.18 fof(f116,plain,(
% 6.83/1.18 ![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))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f115])).
% 6.83/1.18 fof(f120,plain,(
% 6.83/1.18 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 6.83/1.18 fof(f121,plain,(
% 6.83/1.18 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f120])).
% 6.83/1.18 fof(f123,plain,(
% 6.83/1.18 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 6.83/1.18 fof(f124,plain,(
% 6.83/1.18 ![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))))))),
% 6.83/1.18 inference(NNF_transformation,[status(esa)],[f123])).
% 6.83/1.18 fof(f125,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f124])).
% 6.83/1.18 fof(f130,plain,(
% 6.83/1.18 ![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))))))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 6.83/1.18 fof(f131,plain,(
% 6.83/1.18 ![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)))))))))))),
% 6.83/1.18 inference(NNF_transformation,[status(esa)],[f130])).
% 6.83/1.18 fof(f132,plain,(
% 6.83/1.18 ![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))))))))))),
% 6.83/1.18 inference(skolemization,[status(esa)],[f131])).
% 6.83/1.18 fof(f137,plain,(
% 6.83/1.18 ![X0]: (~ilf_type(X0,set_type)|relation_like(X0)|member(sk0_11(X0),X0))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f132])).
% 6.83/1.18 fof(f139,plain,(
% 6.83/1.18 ![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))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 6.83/1.18 fof(f140,plain,(
% 6.83/1.18 ![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))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f139])).
% 6.83/1.18 fof(f141,plain,(
% 6.83/1.18 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 6.83/1.18 fof(f142,plain,(
% 6.83/1.18 ![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))))))),
% 6.83/1.18 inference(NNF_transformation,[status(esa)],[f141])).
% 6.83/1.18 fof(f143,plain,(
% 6.83/1.18 ![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)))))),
% 6.83/1.18 inference(skolemization,[status(esa)],[f142])).
% 6.83/1.18 fof(f144,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f143])).
% 6.83/1.18 fof(f146,plain,(
% 6.83/1.18 ![X0]: (~ilf_type(X0,set_type)|empty(X0)|member(sk0_12(X0),X0))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f143])).
% 6.83/1.18 fof(f149,plain,(
% 6.83/1.18 ![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))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 6.83/1.18 fof(f150,plain,(
% 6.83/1.18 ![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))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f149])).
% 6.83/1.18 fof(f151,plain,(
% 6.83/1.18 ![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)))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 6.83/1.18 fof(f152,plain,(
% 6.83/1.18 ![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)))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f151])).
% 6.83/1.18 fof(f153,plain,(
% 6.83/1.18 ![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))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 6.83/1.18 fof(f154,plain,(
% 6.83/1.18 ![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))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f153])).
% 6.83/1.18 fof(f155,plain,(
% 6.83/1.18 ![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)))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 6.83/1.18 fof(f156,plain,(
% 6.83/1.18 ![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)))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f155])).
% 6.83/1.18 fof(f157,plain,(
% 6.83/1.18 ![X0]: (ilf_type(X0,set_type))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f34])).
% 6.83/1.18 fof(f158,plain,(
% 6.83/1.18 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,relation_type(C,B))&((![E]: (~ilf_type(E,set_type)|(~member(E,C)|(?[F]: (ilf_type(F,set_type)&member(ordered_pair(E,F),D))))))<~>domain(C,B,D)=C)))))))),
% 6.83/1.18 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 6.83/1.18 fof(f159,plain,(
% 6.83/1.18 ?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,relation_type(C,B))&(((![E]: (~ilf_type(E,set_type)|(~member(E,C)|(?[F]: (ilf_type(F,set_type)&member(ordered_pair(E,F),D))))))|domain(C,B,D)=C)&((?[E]: (ilf_type(E,set_type)&(member(E,C)&(![F]: (~ilf_type(F,set_type)|~member(ordered_pair(E,F),D))))))|~domain(C,B,D)=C)))))))),
% 6.83/1.18 inference(NNF_transformation,[status(esa)],[f158])).
% 6.83/1.18 fof(f160,plain,(
% 6.83/1.18 (ilf_type(sk0_13,set_type)&(ilf_type(sk0_14,set_type)&(ilf_type(sk0_15,relation_type(sk0_14,sk0_13))&(((![E]: (~ilf_type(E,set_type)|(~member(E,sk0_14)|(ilf_type(sk0_16(E),set_type)&member(ordered_pair(E,sk0_16(E)),sk0_15)))))|domain(sk0_14,sk0_13,sk0_15)=sk0_14)&((ilf_type(sk0_17,set_type)&(member(sk0_17,sk0_14)&(![F]: (~ilf_type(F,set_type)|~member(ordered_pair(sk0_17,F),sk0_15)))))|~domain(sk0_14,sk0_13,sk0_15)=sk0_14)))))),
% 6.83/1.18 inference(skolemization,[status(esa)],[f159])).
% 6.83/1.18 fof(f163,plain,(
% 6.83/1.18 ilf_type(sk0_15,relation_type(sk0_14,sk0_13))),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f160])).
% 6.83/1.18 fof(f164,plain,(
% 6.83/1.18 ![X0]: (~ilf_type(X0,set_type)|~member(X0,sk0_14)|ilf_type(sk0_16(X0),set_type)|domain(sk0_14,sk0_13,sk0_15)=sk0_14)),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f160])).
% 6.83/1.18 fof(f165,plain,(
% 6.83/1.18 ![X0]: (~ilf_type(X0,set_type)|~member(X0,sk0_14)|member(ordered_pair(X0,sk0_16(X0)),sk0_15)|domain(sk0_14,sk0_13,sk0_15)=sk0_14)),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f160])).
% 6.83/1.18 fof(f167,plain,(
% 6.83/1.18 member(sk0_17,sk0_14)|~domain(sk0_14,sk0_13,sk0_15)=sk0_14),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f160])).
% 6.83/1.18 fof(f168,plain,(
% 6.83/1.18 ![X0]: (~ilf_type(X0,set_type)|~member(ordered_pair(sk0_17,X0),sk0_15)|~domain(sk0_14,sk0_13,sk0_15)=sk0_14)),
% 6.83/1.18 inference(cnf_transformation,[status(esa)],[f160])).
% 6.83/1.18 fof(f169,plain,(
% 6.83/1.18 spl0_0 <=> ~ilf_type(X0,set_type)),
% 6.83/1.18 introduced(split_symbol_definition)).
% 6.83/1.18 fof(f170,plain,(
% 6.83/1.18 ![X0]: (~ilf_type(X0,set_type)|~spl0_0)),
% 6.83/1.18 inference(component_clause,[status(thm)],[f169])).
% 6.83/1.18 fof(f172,plain,(
% 6.83/1.18 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))),
% 6.83/1.18 introduced(split_symbol_definition)).
% 6.83/1.18 fof(f173,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~X2=ordered_pair(X0,X1)|X2=unordered_pair(unordered_pair(X0,X1),singleton(X0))|~spl0_1)),
% 6.83/1.18 inference(component_clause,[status(thm)],[f172])).
% 6.83/1.18 fof(f175,plain,(
% 6.83/1.18 spl0_0|spl0_1),
% 6.83/1.18 inference(split_clause,[status(thm)],[f57,f169,f172])).
% 6.83/1.18 fof(f176,plain,(
% 6.83/1.18 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))),
% 6.83/1.18 introduced(split_symbol_definition)).
% 6.83/1.18 fof(f179,plain,(
% 6.83/1.18 spl0_0|spl0_2),
% 6.83/1.18 inference(split_clause,[status(thm)],[f58,f169,f176])).
% 6.83/1.18 fof(f180,plain,(
% 6.83/1.18 spl0_3 <=> ~ilf_type(X0,set_type)|~member(X0,sk0_14)|ilf_type(sk0_16(X0),set_type)),
% 6.83/1.18 introduced(split_symbol_definition)).
% 6.83/1.18 fof(f183,plain,(
% 6.83/1.18 spl0_4 <=> domain(sk0_14,sk0_13,sk0_15)=sk0_14),
% 6.83/1.18 introduced(split_symbol_definition)).
% 6.83/1.18 fof(f184,plain,(
% 6.83/1.18 domain(sk0_14,sk0_13,sk0_15)=sk0_14|~spl0_4),
% 6.83/1.18 inference(component_clause,[status(thm)],[f183])).
% 6.83/1.18 fof(f185,plain,(
% 6.83/1.18 ~domain(sk0_14,sk0_13,sk0_15)=sk0_14|spl0_4),
% 6.83/1.18 inference(component_clause,[status(thm)],[f183])).
% 6.83/1.18 fof(f186,plain,(
% 6.83/1.18 spl0_3|spl0_4),
% 6.83/1.18 inference(split_clause,[status(thm)],[f164,f180,f183])).
% 6.83/1.18 fof(f187,plain,(
% 6.83/1.18 spl0_5 <=> ~ilf_type(X0,set_type)|~member(X0,sk0_14)|member(ordered_pair(X0,sk0_16(X0)),sk0_15)),
% 6.83/1.18 introduced(split_symbol_definition)).
% 6.83/1.18 fof(f188,plain,(
% 6.83/1.18 ![X0]: (~ilf_type(X0,set_type)|~member(X0,sk0_14)|member(ordered_pair(X0,sk0_16(X0)),sk0_15)|~spl0_5)),
% 6.83/1.18 inference(component_clause,[status(thm)],[f187])).
% 6.83/1.18 fof(f190,plain,(
% 6.83/1.18 spl0_5|spl0_4),
% 6.83/1.18 inference(split_clause,[status(thm)],[f165,f187,f183])).
% 6.83/1.18 fof(f195,plain,(
% 6.83/1.18 spl0_7 <=> member(sk0_17,sk0_14)),
% 6.83/1.18 introduced(split_symbol_definition)).
% 6.83/1.18 fof(f196,plain,(
% 6.83/1.18 member(sk0_17,sk0_14)|~spl0_7),
% 6.83/1.18 inference(component_clause,[status(thm)],[f195])).
% 6.83/1.18 fof(f198,plain,(
% 6.83/1.18 spl0_7|~spl0_4),
% 6.83/1.18 inference(split_clause,[status(thm)],[f167,f195,f183])).
% 6.83/1.18 fof(f199,plain,(
% 6.83/1.18 spl0_8 <=> ~ilf_type(X0,set_type)|~member(ordered_pair(sk0_17,X0),sk0_15)),
% 6.83/1.18 introduced(split_symbol_definition)).
% 6.83/1.18 fof(f200,plain,(
% 6.83/1.18 ![X0]: (~ilf_type(X0,set_type)|~member(ordered_pair(sk0_17,X0),sk0_15)|~spl0_8)),
% 6.83/1.18 inference(component_clause,[status(thm)],[f199])).
% 6.83/1.18 fof(f202,plain,(
% 6.83/1.18 spl0_8|~spl0_4),
% 6.83/1.18 inference(split_clause,[status(thm)],[f168,f199,f183])).
% 6.83/1.18 fof(f207,plain,(
% 6.83/1.18 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 6.83/1.18 inference(duplicate_literals_removal,[status(esa)],[f86])).
% 6.83/1.18 fof(f208,plain,(
% 6.83/1.18 ![X0]: (~member(X0,sk0_14)|member(ordered_pair(X0,sk0_16(X0)),sk0_15)|~spl0_5)),
% 6.83/1.18 inference(backward_subsumption_resolution,[status(thm)],[f188,f157])).
% 6.83/1.18 fof(f209,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(domain(X2,X0,X1),subset_type(X2)))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f152,f157])).
% 6.83/1.18 fof(f210,plain,(
% 6.83/1.18 $false|~spl0_0),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f170,f157])).
% 6.83/1.18 fof(f211,plain,(
% 6.83/1.18 ~spl0_0),
% 6.83/1.18 inference(contradiction_clause,[status(thm)],[f210])).
% 6.83/1.18 fof(f212,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~X1=ordered_pair(X2,X0)|X1=unordered_pair(unordered_pair(X2,X0),singleton(X2))|~spl0_1)),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f173,f157])).
% 6.83/1.18 fof(f214,plain,(
% 6.83/1.18 ![X0]: (~member(ordered_pair(sk0_17,X0),sk0_15)|~spl0_8)),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f200,f157])).
% 6.83/1.18 fof(f215,plain,(
% 6.83/1.18 spl0_9 <=> ilf_type(sk0_13,set_type)),
% 6.83/1.18 introduced(split_symbol_definition)).
% 6.83/1.18 fof(f217,plain,(
% 6.83/1.18 ~ilf_type(sk0_13,set_type)|spl0_9),
% 6.83/1.18 inference(component_clause,[status(thm)],[f215])).
% 6.83/1.18 fof(f218,plain,(
% 6.83/1.18 spl0_10 <=> ilf_type(sk0_15,relation_type(sk0_14,sk0_13))),
% 6.83/1.18 introduced(split_symbol_definition)).
% 6.83/1.18 fof(f220,plain,(
% 6.83/1.18 ~ilf_type(sk0_15,relation_type(sk0_14,sk0_13))|spl0_10),
% 6.83/1.18 inference(component_clause,[status(thm)],[f218])).
% 6.83/1.18 fof(f226,plain,(
% 6.83/1.18 $false|spl0_10),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f220,f163])).
% 6.83/1.18 fof(f227,plain,(
% 6.83/1.18 spl0_10),
% 6.83/1.18 inference(contradiction_clause,[status(thm)],[f226])).
% 6.83/1.18 fof(f228,plain,(
% 6.83/1.18 $false|spl0_9),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f217,f157])).
% 6.83/1.18 fof(f229,plain,(
% 6.83/1.18 spl0_9),
% 6.83/1.18 inference(contradiction_clause,[status(thm)],[f228])).
% 6.83/1.18 fof(f230,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~X0=ordered_pair(X1,X2)|X0=unordered_pair(unordered_pair(X1,X2),singleton(X1))|~spl0_1)),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f212,f157])).
% 6.83/1.18 fof(f231,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~X0=ordered_pair(X1,X2)|X0=unordered_pair(unordered_pair(X1,X2),singleton(X1))|~spl0_1)),
% 6.83/1.18 inference(resolution,[status(thm)],[f230,f157])).
% 6.83/1.18 fof(f235,plain,(
% 6.83/1.18 ![X0]: (~empty(power_set(X0)))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f121,f157])).
% 6.83/1.18 fof(f238,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~member(X1,domain_of(X0))|member(ordered_pair(X1,sk0_0(X1,X0)),X0))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f41,f157])).
% 6.83/1.18 fof(f239,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|member(X1,domain_of(X0))|~ilf_type(X2,set_type)|~member(ordered_pair(X1,X2),X0))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f42,f157])).
% 6.83/1.18 fof(f240,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|member(X1,domain_of(X0))|~member(ordered_pair(X1,X2),X0))),
% 6.83/1.18 inference(resolution,[status(thm)],[f239,f157])).
% 6.83/1.18 fof(f241,plain,(
% 6.83/1.18 ![X0,X1]: (member(X0,domain_of(sk0_3))|~member(ordered_pair(X0,X1),sk0_3))),
% 6.83/1.18 inference(resolution,[status(thm)],[f240,f88])).
% 6.83/1.18 fof(f242,plain,(
% 6.83/1.18 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f207,f157])).
% 6.83/1.18 fof(f244,plain,(
% 6.83/1.18 ![X0]: (relation_like(X0)|member(sk0_11(X0),X0))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f137,f157])).
% 6.83/1.18 fof(f245,plain,(
% 6.83/1.18 ![X0]: (member(sk0_11(X0),X0)|ilf_type(X0,binary_relation_type))),
% 6.83/1.18 inference(resolution,[status(thm)],[f244,f242])).
% 6.83/1.18 fof(f246,plain,(
% 6.83/1.18 ![X0]: (ilf_type(domain_of(X0),binary_relation_type)|~ilf_type(X0,binary_relation_type)|member(ordered_pair(sk0_11(domain_of(X0)),sk0_0(sk0_11(domain_of(X0)),X0)),X0))),
% 6.83/1.18 inference(resolution,[status(thm)],[f245,f238])).
% 6.83/1.18 fof(f247,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|member(ordered_pair(sk0_11(domain_of(X0)),sk0_0(sk0_11(domain_of(X0)),X0)),X0)|member(X1,domain_of(domain_of(X0)))|~member(ordered_pair(X1,X2),domain_of(X0)))),
% 6.83/1.18 inference(resolution,[status(thm)],[f246,f240])).
% 6.83/1.18 fof(f248,plain,(
% 6.83/1.18 ![X0]: (empty(X0)|member(sk0_12(X0),X0))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f146,f157])).
% 6.83/1.18 fof(f249,plain,(
% 6.83/1.18 ![X0]: (empty(domain_of(X0))|~ilf_type(X0,binary_relation_type)|member(ordered_pair(sk0_12(domain_of(X0)),sk0_0(sk0_12(domain_of(X0)),X0)),X0))),
% 6.83/1.18 inference(resolution,[status(thm)],[f248,f238])).
% 6.83/1.18 fof(f254,plain,(
% 6.83/1.18 ![X0,X1]: (~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f144,f157])).
% 6.83/1.18 fof(f255,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,set_type)|~member(X0,domain_of(X1))|~ilf_type(X1,binary_relation_type)|member(ordered_pair(sk0_12(domain_of(X1)),sk0_0(sk0_12(domain_of(X1)),X1)),X1))),
% 6.83/1.18 inference(resolution,[status(thm)],[f254,f249])).
% 6.83/1.18 fof(f256,plain,(
% 6.83/1.18 ![X0,X1]: (~member(X0,domain_of(X1))|~ilf_type(X1,binary_relation_type)|member(ordered_pair(sk0_12(domain_of(X1)),sk0_0(sk0_12(domain_of(X1)),X1)),X1))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f255,f157])).
% 6.83/1.18 fof(f259,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,set_type)|unordered_pair(X1,X0)=unordered_pair(X0,X1))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f81,f157])).
% 6.83/1.18 fof(f260,plain,(
% 6.83/1.18 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 6.83/1.18 inference(resolution,[status(thm)],[f259,f157])).
% 6.83/1.18 fof(f261,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~X0=ordered_pair(X1,X2)|X0=unordered_pair(singleton(X1),unordered_pair(X1,X2))|~spl0_1)),
% 6.83/1.18 inference(paramodulation,[status(thm)],[f260,f231])).
% 6.83/1.18 fof(f262,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~X0=ordered_pair(X1,X2)|X0=unordered_pair(unordered_pair(X2,X1),singleton(X1))|~spl0_1)),
% 6.83/1.18 inference(paramodulation,[status(thm)],[f260,f231])).
% 6.83/1.18 fof(f268,plain,(
% 6.83/1.18 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(singleton(X0),unordered_pair(X0,X1))|~spl0_1)),
% 6.83/1.18 inference(equality_resolution,[status(esa)],[f261])).
% 6.83/1.18 fof(f272,plain,(
% 6.83/1.18 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(unordered_pair(X1,X0),singleton(X0))|~spl0_1)),
% 6.83/1.18 inference(equality_resolution,[status(esa)],[f262])).
% 6.83/1.18 fof(f275,plain,(
% 6.83/1.18 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(singleton(X0),unordered_pair(X1,X0))|~spl0_1)),
% 6.83/1.18 inference(paramodulation,[status(thm)],[f260,f268])).
% 6.83/1.18 fof(f281,plain,(
% 6.83/1.18 ![X0,X1]: (ordered_pair(unordered_pair(X0,X1),singleton(X0))=unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1)))|~spl0_1)),
% 6.83/1.18 inference(paramodulation,[status(thm)],[f268,f272])).
% 6.83/1.18 fof(f296,plain,(
% 6.83/1.18 ![X0,X1]: (ordered_pair(unordered_pair(X0,X1),singleton(X1))=unordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1)))|~spl0_1)),
% 6.83/1.18 inference(paramodulation,[status(thm)],[f275,f272])).
% 6.83/1.18 fof(f984,plain,(
% 6.83/1.18 ![X0,X1]: (ordered_pair(unordered_pair(X0,X1),singleton(X0))=unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0)))|~spl0_1)),
% 6.83/1.18 inference(paramodulation,[status(thm)],[f260,f281])).
% 6.83/1.18 fof(f1152,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,set_type)|X1=X0|~subset(X1,X0)|~subset(X0,X1))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f71,f157])).
% 6.83/1.18 fof(f1153,plain,(
% 6.83/1.18 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 6.83/1.18 inference(resolution,[status(thm)],[f1152,f157])).
% 6.83/1.18 fof(f1253,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X1,X0)|member(sk0_6(X0,X1),X1))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f109,f157])).
% 6.83/1.18 fof(f1254,plain,(
% 6.83/1.18 ![X0,X1]: (subset(X0,X1)|member(sk0_6(X1,X0),X0))),
% 6.83/1.18 inference(resolution,[status(thm)],[f1253,f157])).
% 6.83/1.18 fof(f1255,plain,(
% 6.83/1.18 ![X0,X1]: (member(sk0_6(X0,X1),X1)|X0=X1|~subset(X0,X1))),
% 6.83/1.18 inference(resolution,[status(thm)],[f1254,f1153])).
% 6.83/1.18 fof(f1257,plain,(
% 6.83/1.18 ![X0,X1]: (X0=domain_of(X1)|~subset(X0,domain_of(X1))|~ilf_type(X1,binary_relation_type)|member(ordered_pair(sk0_6(X0,domain_of(X1)),sk0_0(sk0_6(X0,domain_of(X1)),X1)),X1))),
% 6.83/1.18 inference(resolution,[status(thm)],[f1255,f238])).
% 6.83/1.18 fof(f1258,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X1,X0)|~member(sk0_6(X0,X1),X0))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f110,f157])).
% 6.83/1.18 fof(f1259,plain,(
% 6.83/1.18 ![X0,X1]: (subset(X0,X1)|~member(sk0_6(X1,X0),X1))),
% 6.83/1.18 inference(resolution,[status(thm)],[f1258,f157])).
% 6.83/1.18 fof(f1454,plain,(
% 6.83/1.18 ![X0,X1]: (ordered_pair(unordered_pair(X0,X1),singleton(X0))=ordered_pair(unordered_pair(X1,X0),singleton(X0))|~spl0_1)),
% 6.83/1.18 inference(paramodulation,[status(thm)],[f296,f984])).
% 6.83/1.18 fof(f1677,plain,(
% 6.83/1.18 ![X0,X1]: (member(unordered_pair(X0,X1),domain_of(sk0_3))|~member(ordered_pair(unordered_pair(X1,X0),singleton(X0)),sk0_3)|~spl0_1)),
% 6.83/1.18 inference(paramodulation,[status(thm)],[f1454,f241])).
% 6.83/1.18 fof(f1742,plain,(
% 6.83/1.18 ![X0,X1]: (member(unordered_pair(X0,X1),domain_of(sk0_3))|~member(ordered_pair(unordered_pair(X1,X0),singleton(X1)),sk0_3)|~spl0_1)),
% 6.83/1.18 inference(paramodulation,[status(thm)],[f1454,f241])).
% 6.83/1.18 fof(f1930,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(ordered_pair(X2,X0),X1)|member(X0,range_of(X1)))),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f47,f157])).
% 6.83/1.18 fof(f1931,plain,(
% 6.83/1.18 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|~member(ordered_pair(X1,X2),X0)|member(X2,range_of(X0)))),
% 6.83/1.18 inference(resolution,[status(thm)],[f1930,f157])).
% 6.83/1.18 fof(f1932,plain,(
% 6.83/1.18 ![X0,X1]: (~ilf_type(X0,set_type)|member(sk0_1(X0,X1),X1)|member(sk0_1(X0,X1),X0)|X1=X0)),
% 6.83/1.18 inference(forward_subsumption_resolution,[status(thm)],[f52,f157])).
% 6.83/1.19 fof(f1933,plain,(
% 6.83/1.19 ![X0,X1]: (member(sk0_1(X0,X1),X1)|member(sk0_1(X0,X1),X0)|X1=X0)),
% 6.83/1.19 inference(resolution,[status(thm)],[f1932,f157])).
% 6.83/1.19 fof(f1936,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f63,f157])).
% 6.83/1.19 fof(f1937,plain,(
% 6.83/1.19 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f91,f157])).
% 6.83/1.19 fof(f1938,plain,(
% 6.83/1.19 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X0,subset_type(X1))|~ilf_type(X0,member_type(power_set(X1))))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f92,f157])).
% 6.83/1.19 fof(f1939,plain,(
% 6.83/1.19 ![X0,X1]: (~ilf_type(X0,set_type)|X1=X0|~member(sk0_5(X0,X1),X1)|~member(sk0_5(X0,X1),X0))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f102,f157])).
% 6.83/1.19 fof(f1940,plain,(
% 6.83/1.19 ![X0,X1]: (~ilf_type(X0,set_type)|X1=X0|member(sk0_5(X0,X1),X1)|member(sk0_5(X0,X1),X0))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f103,f157])).
% 6.83/1.19 fof(f1941,plain,(
% 6.83/1.19 ![X0,X1]: (X0=X1|member(sk0_5(X1,X0),X0)|member(sk0_5(X1,X0),X1))),
% 6.83/1.19 inference(resolution,[status(thm)],[f1940,f157])).
% 6.83/1.19 fof(f1942,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f107,f157])).
% 6.83/1.19 fof(f1943,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~member(X2,X1)|member(X2,X0))),
% 6.83/1.19 inference(resolution,[status(thm)],[f1942,f157])).
% 6.83/1.19 fof(f1944,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f1943,f157])).
% 6.83/1.19 fof(f1945,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~member(X0,X1)|member(X0,X2)|member(sk0_6(X2,X1),X1))),
% 6.83/1.19 inference(resolution,[status(thm)],[f1944,f1254])).
% 6.83/1.19 fof(f1947,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~member(X0,domain_of(X1))|member(X0,X2)|~ilf_type(X1,binary_relation_type)|member(ordered_pair(sk0_6(X2,domain_of(X1)),sk0_0(sk0_6(X2,domain_of(X1)),X1)),X1))),
% 6.83/1.19 inference(resolution,[status(thm)],[f1945,f238])).
% 6.83/1.19 fof(f1949,plain,(
% 6.83/1.19 ![X0,X1]: (member(sk0_1(X0,domain_of(X1)),X0)|domain_of(X1)=X0|~ilf_type(X1,binary_relation_type)|member(ordered_pair(sk0_1(X0,domain_of(X1)),sk0_0(sk0_1(X0,domain_of(X1)),X1)),X1))),
% 6.83/1.19 inference(resolution,[status(thm)],[f1933,f238])).
% 6.83/1.19 fof(f1951,plain,(
% 6.83/1.19 ![X0,X1]: (X0=domain_of(X1)|member(sk0_5(domain_of(X1),X0),X0)|~ilf_type(X1,binary_relation_type)|member(ordered_pair(sk0_5(domain_of(X1),X0),sk0_0(sk0_5(domain_of(X1),X0),X1)),X1))),
% 6.83/1.19 inference(resolution,[status(thm)],[f1941,f238])).
% 6.83/1.19 fof(f1953,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~member(ordered_pair(X0,X1),domain_of(X2))|member(X1,range_of(domain_of(X2)))|~ilf_type(X2,binary_relation_type)|member(ordered_pair(sk0_11(domain_of(X2)),sk0_0(sk0_11(domain_of(X2)),X2)),X2))),
% 6.83/1.19 inference(resolution,[status(thm)],[f1931,f246])).
% 6.83/1.19 fof(f1957,plain,(
% 6.83/1.19 ![X0,X1]: (member(sk0_1(X0,domain_of(domain_of(X1))),X0)|domain_of(domain_of(X1))=X0|member(ordered_pair(sk0_1(X0,domain_of(domain_of(X1))),sk0_0(sk0_1(X0,domain_of(domain_of(X1))),domain_of(X1))),domain_of(X1))|~ilf_type(X1,binary_relation_type)|member(ordered_pair(sk0_11(domain_of(X1)),sk0_0(sk0_11(domain_of(X1)),X1)),X1))),
% 6.83/1.19 inference(resolution,[status(thm)],[f1949,f246])).
% 6.83/1.19 fof(f2208,plain,(
% 6.83/1.19 ![X0,X1]: (X0=domain_of(domain_of(X1))|member(sk0_5(domain_of(domain_of(X1)),X0),X0)|member(ordered_pair(sk0_5(domain_of(domain_of(X1)),X0),sk0_0(sk0_5(domain_of(domain_of(X1)),X0),domain_of(X1))),domain_of(X1))|~ilf_type(X1,binary_relation_type)|member(ordered_pair(sk0_11(domain_of(X1)),sk0_0(sk0_11(domain_of(X1)),X1)),X1))),
% 6.83/1.19 inference(resolution,[status(thm)],[f1951,f246])).
% 6.83/1.19 fof(f2209,plain,(
% 6.83/1.19 ![X0]: (X0=domain_of(sk0_3)|member(sk0_5(domain_of(sk0_3),X0),X0)|member(ordered_pair(sk0_5(domain_of(sk0_3),X0),sk0_0(sk0_5(domain_of(sk0_3),X0),sk0_3)),sk0_3))),
% 6.83/1.19 inference(resolution,[status(thm)],[f1951,f88])).
% 6.83/1.19 fof(f2350,plain,(
% 6.83/1.19 spl0_15 <=> ilf_type(domain_of(sk0_3),set_type)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f2352,plain,(
% 6.83/1.19 ~ilf_type(domain_of(sk0_3),set_type)|spl0_15),
% 6.83/1.19 inference(component_clause,[status(thm)],[f2350])).
% 6.83/1.19 fof(f2442,plain,(
% 6.83/1.19 spl0_17 <=> ilf_type(sk0_3,binary_relation_type)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f2444,plain,(
% 6.83/1.19 ~ilf_type(sk0_3,binary_relation_type)|spl0_17),
% 6.83/1.19 inference(component_clause,[status(thm)],[f2442])).
% 6.83/1.19 fof(f2514,plain,(
% 6.83/1.19 $false|spl0_15),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f2352,f157])).
% 6.83/1.19 fof(f2515,plain,(
% 6.83/1.19 spl0_15),
% 6.83/1.19 inference(contradiction_clause,[status(thm)],[f2514])).
% 6.83/1.19 fof(f2852,plain,(
% 6.83/1.19 spl0_24 <=> ~member(ordered_pair(unordered_pair(X0,X1),singleton(X1)),sk0_3)|member(ordered_pair(unordered_pair(X1,X0),sk0_0(unordered_pair(X1,X0),sk0_3)),sk0_3)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f2855,plain,(
% 6.83/1.19 ![X0,X1]: (~member(ordered_pair(unordered_pair(X0,X1),singleton(X1)),sk0_3)|~ilf_type(sk0_3,binary_relation_type)|member(ordered_pair(unordered_pair(X1,X0),sk0_0(unordered_pair(X1,X0),sk0_3)),sk0_3)|~spl0_1)),
% 6.83/1.19 inference(resolution,[status(thm)],[f1677,f238])).
% 6.83/1.19 fof(f2856,plain,(
% 6.83/1.19 spl0_24|~spl0_17|~spl0_1),
% 6.83/1.19 inference(split_clause,[status(thm)],[f2855,f2852,f2442,f172])).
% 6.83/1.19 fof(f2919,plain,(
% 6.83/1.19 $false|spl0_17),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f2444,f88])).
% 6.83/1.19 fof(f2920,plain,(
% 6.83/1.19 spl0_17),
% 6.83/1.19 inference(contradiction_clause,[status(thm)],[f2919])).
% 6.83/1.19 fof(f3176,plain,(
% 6.83/1.19 spl0_26 <=> ~member(ordered_pair(unordered_pair(X0,X1),singleton(X0)),sk0_3)|member(ordered_pair(unordered_pair(X1,X0),sk0_0(unordered_pair(X1,X0),sk0_3)),sk0_3)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f3179,plain,(
% 6.83/1.19 ![X0,X1]: (~member(ordered_pair(unordered_pair(X0,X1),singleton(X0)),sk0_3)|~ilf_type(sk0_3,binary_relation_type)|member(ordered_pair(unordered_pair(X1,X0),sk0_0(unordered_pair(X1,X0),sk0_3)),sk0_3)|~spl0_1)),
% 6.83/1.19 inference(resolution,[status(thm)],[f1742,f238])).
% 6.83/1.19 fof(f3180,plain,(
% 6.83/1.19 spl0_26|~spl0_17|~spl0_1),
% 6.83/1.19 inference(split_clause,[status(thm)],[f3179,f3176,f2442,f172])).
% 6.83/1.19 fof(f3592,plain,(
% 6.83/1.19 spl0_28 <=> X0=domain_of(sk0_3)|member(ordered_pair(sk0_5(domain_of(sk0_3),X0),sk0_0(sk0_5(domain_of(sk0_3),X0),sk0_3)),sk0_3)|X0=domain_of(sk0_3)|~member(sk0_5(domain_of(sk0_3),X0),domain_of(sk0_3))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f3595,plain,(
% 6.83/1.19 ![X0]: (X0=domain_of(sk0_3)|member(ordered_pair(sk0_5(domain_of(sk0_3),X0),sk0_0(sk0_5(domain_of(sk0_3),X0),sk0_3)),sk0_3)|~ilf_type(domain_of(sk0_3),set_type)|X0=domain_of(sk0_3)|~member(sk0_5(domain_of(sk0_3),X0),domain_of(sk0_3)))),
% 6.83/1.19 inference(resolution,[status(thm)],[f2209,f1939])).
% 6.83/1.19 fof(f3596,plain,(
% 6.83/1.19 spl0_28|~spl0_15),
% 6.83/1.19 inference(split_clause,[status(thm)],[f3595,f3592,f2350])).
% 6.83/1.19 fof(f3905,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f140,f157])).
% 6.83/1.19 fof(f3906,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|ilf_type(X1,binary_relation_type))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3905,f242])).
% 6.83/1.19 fof(f3907,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|ilf_type(X0,binary_relation_type))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f3906,f157])).
% 6.83/1.19 fof(f3911,plain,(
% 6.83/1.19 ![X0,X1,X2]: (ilf_type(X0,binary_relation_type)|~ilf_type(X1,set_type)|~ilf_type(X0,relation_type(X2,X1)))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3907,f1936])).
% 6.83/1.19 fof(f3912,plain,(
% 6.83/1.19 ![X0,X1,X2]: (ilf_type(X0,binary_relation_type)|~ilf_type(X0,relation_type(X1,X2)))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f3911,f157])).
% 6.83/1.19 fof(f3927,plain,(
% 6.83/1.19 ilf_type(sk0_15,binary_relation_type)),
% 6.83/1.19 inference(resolution,[status(thm)],[f3912,f163])).
% 6.83/1.19 fof(f3929,plain,(
% 6.83/1.19 spl0_29 <=> X0=domain_of(domain_of(sk0_15))|member(sk0_5(domain_of(domain_of(sk0_15)),X0),X0)|member(ordered_pair(sk0_5(domain_of(domain_of(sk0_15)),X0),sk0_0(sk0_5(domain_of(domain_of(sk0_15)),X0),domain_of(sk0_15))),domain_of(sk0_15))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f3932,plain,(
% 6.83/1.19 spl0_30 <=> member(ordered_pair(sk0_11(domain_of(sk0_15)),sk0_0(sk0_11(domain_of(sk0_15)),sk0_15)),sk0_15)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f3935,plain,(
% 6.83/1.19 ![X0]: (X0=domain_of(domain_of(sk0_15))|member(sk0_5(domain_of(domain_of(sk0_15)),X0),X0)|member(ordered_pair(sk0_5(domain_of(domain_of(sk0_15)),X0),sk0_0(sk0_5(domain_of(domain_of(sk0_15)),X0),domain_of(sk0_15))),domain_of(sk0_15))|member(ordered_pair(sk0_11(domain_of(sk0_15)),sk0_0(sk0_11(domain_of(sk0_15)),sk0_15)),sk0_15))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3927,f2208])).
% 6.83/1.19 fof(f3936,plain,(
% 6.83/1.19 spl0_29|spl0_30),
% 6.83/1.19 inference(split_clause,[status(thm)],[f3935,f3929,f3932])).
% 6.83/1.19 fof(f3937,plain,(
% 6.83/1.19 spl0_31 <=> member(sk0_1(X0,domain_of(domain_of(sk0_15))),X0)|domain_of(domain_of(sk0_15))=X0|member(ordered_pair(sk0_1(X0,domain_of(domain_of(sk0_15))),sk0_0(sk0_1(X0,domain_of(domain_of(sk0_15))),domain_of(sk0_15))),domain_of(sk0_15))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f3940,plain,(
% 6.83/1.19 ![X0]: (member(sk0_1(X0,domain_of(domain_of(sk0_15))),X0)|domain_of(domain_of(sk0_15))=X0|member(ordered_pair(sk0_1(X0,domain_of(domain_of(sk0_15))),sk0_0(sk0_1(X0,domain_of(domain_of(sk0_15))),domain_of(sk0_15))),domain_of(sk0_15))|member(ordered_pair(sk0_11(domain_of(sk0_15)),sk0_0(sk0_11(domain_of(sk0_15)),sk0_15)),sk0_15))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3927,f1957])).
% 6.83/1.19 fof(f3941,plain,(
% 6.83/1.19 spl0_31|spl0_30),
% 6.83/1.19 inference(split_clause,[status(thm)],[f3940,f3937,f3932])).
% 6.83/1.19 fof(f3942,plain,(
% 6.83/1.19 spl0_32 <=> ~member(ordered_pair(X0,X1),domain_of(sk0_15))|member(X1,range_of(domain_of(sk0_15)))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f3945,plain,(
% 6.83/1.19 ![X0,X1]: (~member(ordered_pair(X0,X1),domain_of(sk0_15))|member(X1,range_of(domain_of(sk0_15)))|member(ordered_pair(sk0_11(domain_of(sk0_15)),sk0_0(sk0_11(domain_of(sk0_15)),sk0_15)),sk0_15))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3927,f1953])).
% 6.83/1.19 fof(f3946,plain,(
% 6.83/1.19 spl0_32|spl0_30),
% 6.83/1.19 inference(split_clause,[status(thm)],[f3945,f3942,f3932])).
% 6.83/1.19 fof(f3950,plain,(
% 6.83/1.19 spl0_34 <=> member(ordered_pair(sk0_12(domain_of(sk0_15)),sk0_0(sk0_12(domain_of(sk0_15)),sk0_15)),sk0_15)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f3960,plain,(
% 6.83/1.19 ![X0,X1]: (~member(X0,domain_of(sk0_15))|member(X0,X1)|member(ordered_pair(sk0_6(X1,domain_of(sk0_15)),sk0_0(sk0_6(X1,domain_of(sk0_15)),sk0_15)),sk0_15))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3927,f1947])).
% 6.83/1.19 fof(f3964,plain,(
% 6.83/1.19 ![X0,X1]: (member(X0,domain_of(sk0_15))|~member(ordered_pair(X0,X1),sk0_15))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3927,f240])).
% 6.83/1.19 fof(f3984,plain,(
% 6.83/1.19 ![X0,X1]: (~member(ordered_pair(sk0_6(domain_of(sk0_15),X0),X1),sk0_15)|subset(X0,domain_of(sk0_15)))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3964,f1259])).
% 6.83/1.19 fof(f3985,plain,(
% 6.83/1.19 spl0_36 <=> ~member(ordered_pair(ordered_pair(X0,X1),X2),sk0_15)|member(X0,domain_of(domain_of(sk0_15)))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f3988,plain,(
% 6.83/1.19 spl0_37 <=> ilf_type(sk0_15,binary_relation_type)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f3990,plain,(
% 6.83/1.19 ~ilf_type(sk0_15,binary_relation_type)|spl0_37),
% 6.83/1.19 inference(component_clause,[status(thm)],[f3988])).
% 6.83/1.19 fof(f3991,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~member(ordered_pair(ordered_pair(X0,X1),X2),sk0_15)|~ilf_type(sk0_15,binary_relation_type)|member(ordered_pair(sk0_11(domain_of(sk0_15)),sk0_0(sk0_11(domain_of(sk0_15)),sk0_15)),sk0_15)|member(X0,domain_of(domain_of(sk0_15))))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3964,f247])).
% 6.83/1.19 fof(f3992,plain,(
% 6.83/1.19 spl0_36|~spl0_37|spl0_30),
% 6.83/1.19 inference(split_clause,[status(thm)],[f3991,f3985,f3988,f3932])).
% 6.83/1.19 fof(f3998,plain,(
% 6.83/1.19 spl0_39 <=> ~member(ordered_pair(X0,X1),sk0_15)|member(ordered_pair(X0,sk0_0(X0,sk0_15)),sk0_15)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4001,plain,(
% 6.83/1.19 ![X0,X1]: (~member(ordered_pair(X0,X1),sk0_15)|~ilf_type(sk0_15,binary_relation_type)|member(ordered_pair(X0,sk0_0(X0,sk0_15)),sk0_15))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3964,f238])).
% 6.83/1.19 fof(f4002,plain,(
% 6.83/1.19 spl0_39|~spl0_37),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4001,f3998,f3988])).
% 6.83/1.19 fof(f4003,plain,(
% 6.83/1.19 $false|spl0_37),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f3990,f3927])).
% 6.83/1.19 fof(f4004,plain,(
% 6.83/1.19 spl0_37),
% 6.83/1.19 inference(contradiction_clause,[status(thm)],[f4003])).
% 6.83/1.19 fof(f4036,plain,(
% 6.83/1.19 spl0_40 <=> ~member(ordered_pair(sk0_6(domain_of(sk0_15),X0),X1),sk0_15)|X0=domain_of(sk0_15)|member(ordered_pair(sk0_6(X0,domain_of(sk0_15)),sk0_0(sk0_6(X0,domain_of(sk0_15)),sk0_15)),sk0_15)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4039,plain,(
% 6.83/1.19 ![X0,X1]: (~member(ordered_pair(sk0_6(domain_of(sk0_15),X0),X1),sk0_15)|X0=domain_of(sk0_15)|~ilf_type(sk0_15,binary_relation_type)|member(ordered_pair(sk0_6(X0,domain_of(sk0_15)),sk0_0(sk0_6(X0,domain_of(sk0_15)),sk0_15)),sk0_15))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3984,f1257])).
% 6.83/1.19 fof(f4040,plain,(
% 6.83/1.19 spl0_40|~spl0_37),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4039,f4036,f3988])).
% 6.83/1.19 fof(f4046,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~member(ordered_pair(sk0_6(domain_of(sk0_15),X0),X1),sk0_15)|~member(X2,X0)|member(X2,domain_of(sk0_15)))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3984,f1944])).
% 6.83/1.19 fof(f4047,plain,(
% 6.83/1.19 ![X0,X1]: (~member(ordered_pair(sk0_6(domain_of(sk0_15),X0),X1),sk0_15)|domain_of(sk0_15)=X0|~subset(domain_of(sk0_15),X0))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3984,f1153])).
% 6.83/1.19 fof(f4086,plain,(
% 6.83/1.19 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f125,f157])).
% 6.83/1.19 fof(f4087,plain,(
% 6.83/1.19 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 6.83/1.19 inference(resolution,[status(thm)],[f4086,f157])).
% 6.83/1.19 fof(f4090,plain,(
% 6.83/1.19 ![X0,X1]: (empty(power_set(X0))|member(X1,power_set(X0))|~ilf_type(X1,set_type)|~ilf_type(X1,subset_type(X0)))),
% 6.83/1.19 inference(resolution,[status(thm)],[f4087,f1937])).
% 6.83/1.19 fof(f4091,plain,(
% 6.83/1.19 ![X0,X1]: (member(X0,power_set(X1))|~ilf_type(X0,set_type)|~ilf_type(X0,subset_type(X1)))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f4090,f235])).
% 6.83/1.19 fof(f4094,plain,(
% 6.83/1.19 ![X0,X1]: (member(X0,power_set(X1))|~ilf_type(X0,subset_type(X1)))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f4091,f157])).
% 6.83/1.19 fof(f4157,plain,(
% 6.83/1.19 spl0_44 <=> ilf_type(sk0_3,set_type)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4159,plain,(
% 6.83/1.19 ~ilf_type(sk0_3,set_type)|spl0_44),
% 6.83/1.19 inference(component_clause,[status(thm)],[f4157])).
% 6.83/1.19 fof(f4165,plain,(
% 6.83/1.19 $false|spl0_44),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f4159,f157])).
% 6.83/1.19 fof(f4166,plain,(
% 6.83/1.19 spl0_44),
% 6.83/1.19 inference(contradiction_clause,[status(thm)],[f4165])).
% 6.83/1.19 fof(f4289,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f116,f157])).
% 6.83/1.19 fof(f4290,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~member(X2,X1)|member(X2,X0))),
% 6.83/1.19 inference(resolution,[status(thm)],[f4289,f157])).
% 6.83/1.19 fof(f4291,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f4290,f157])).
% 6.83/1.19 fof(f4297,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|domain(X2,X0,X1)=domain_of(X1))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f150,f157])).
% 6.83/1.19 fof(f4298,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|domain(X1,X2,X0)=domain_of(X0))),
% 6.83/1.19 inference(resolution,[status(thm)],[f4297,f157])).
% 6.83/1.19 fof(f4299,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|range(X2,X0,X1)=range_of(X1))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f154,f157])).
% 6.83/1.19 fof(f4300,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|range(X1,X2,X0)=range_of(X0))),
% 6.83/1.19 inference(resolution,[status(thm)],[f4299,f157])).
% 6.83/1.19 fof(f4301,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(range(X2,X0,X1),subset_type(X0)))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f156,f157])).
% 6.83/1.19 fof(f4316,plain,(
% 6.83/1.19 ![X0,X1,X2]: (~member(X0,X1)|member(X0,X2)|~ilf_type(X1,subset_type(X2)))),
% 6.83/1.19 inference(resolution,[status(thm)],[f4291,f4094])).
% 6.83/1.19 fof(f4339,plain,(
% 6.83/1.19 ![X0,X1]: (~member(X0,X1)|member(X0,domain_of(sk0_15))|~member(sk0_6(domain_of(sk0_15),X1),sk0_14)|~spl0_5)),
% 6.83/1.19 inference(resolution,[status(thm)],[f4046,f208])).
% 6.83/1.19 fof(f4340,plain,(
% 6.83/1.19 spl0_47 <=> ~member(X0,sk0_14)|member(X0,domain_of(sk0_15))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4341,plain,(
% 6.83/1.19 ![X0]: (~member(X0,sk0_14)|member(X0,domain_of(sk0_15))|~spl0_47)),
% 6.83/1.19 inference(component_clause,[status(thm)],[f4340])).
% 6.83/1.19 fof(f4343,plain,(
% 6.83/1.19 ![X0,X1]: (~member(X0,sk0_14)|member(X0,domain_of(sk0_15))|~member(X1,sk0_14)|member(X1,domain_of(sk0_15))|~spl0_5)),
% 6.83/1.19 inference(resolution,[status(thm)],[f4339,f1945])).
% 6.83/1.19 fof(f4344,plain,(
% 6.83/1.19 spl0_47|~spl0_5),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4343,f4340,f187])).
% 6.83/1.19 fof(f4345,plain,(
% 6.83/1.19 spl0_48 <=> domain_of(sk0_15)=sk0_14),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4346,plain,(
% 6.83/1.19 domain_of(sk0_15)=sk0_14|~spl0_48),
% 6.83/1.19 inference(component_clause,[status(thm)],[f4345])).
% 6.83/1.19 fof(f4348,plain,(
% 6.83/1.19 spl0_49 <=> subset(domain_of(sk0_15),sk0_14)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4350,plain,(
% 6.83/1.19 ~subset(domain_of(sk0_15),sk0_14)|spl0_49),
% 6.83/1.19 inference(component_clause,[status(thm)],[f4348])).
% 6.83/1.19 fof(f4353,plain,(
% 6.83/1.19 ![X0]: (~member(sk0_5(X0,domain_of(sk0_15)),sk0_14)|~ilf_type(X0,set_type)|domain_of(sk0_15)=X0|~member(sk0_5(X0,domain_of(sk0_15)),X0)|~spl0_47)),
% 6.83/1.19 inference(resolution,[status(thm)],[f4341,f1939])).
% 6.83/1.19 fof(f4354,plain,(
% 6.83/1.19 ![X0]: (~member(sk0_5(X0,domain_of(sk0_15)),sk0_14)|domain_of(sk0_15)=X0|~member(sk0_5(X0,domain_of(sk0_15)),X0)|~spl0_47)),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f4353,f157])).
% 6.83/1.19 fof(f4358,plain,(
% 6.83/1.19 spl0_50 <=> ~member(ordered_pair(X0,X1),sk0_14)|member(X0,domain_of(domain_of(sk0_15)))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4361,plain,(
% 6.83/1.19 ![X0,X1]: (~member(ordered_pair(X0,X1),sk0_14)|~ilf_type(sk0_15,binary_relation_type)|member(ordered_pair(sk0_11(domain_of(sk0_15)),sk0_0(sk0_11(domain_of(sk0_15)),sk0_15)),sk0_15)|member(X0,domain_of(domain_of(sk0_15)))|~spl0_47)),
% 6.83/1.19 inference(resolution,[status(thm)],[f4341,f247])).
% 6.83/1.19 fof(f4362,plain,(
% 6.83/1.19 spl0_50|~spl0_37|spl0_30|~spl0_47),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4361,f4358,f3988,f3932,f4340])).
% 6.83/1.19 fof(f4368,plain,(
% 6.83/1.19 spl0_52 <=> ~member(X0,sk0_14)|member(ordered_pair(X0,sk0_0(X0,sk0_15)),sk0_15)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4369,plain,(
% 6.83/1.19 ![X0]: (~member(X0,sk0_14)|member(ordered_pair(X0,sk0_0(X0,sk0_15)),sk0_15)|~spl0_52)),
% 6.83/1.19 inference(component_clause,[status(thm)],[f4368])).
% 6.83/1.19 fof(f4371,plain,(
% 6.83/1.19 ![X0]: (~member(X0,sk0_14)|~ilf_type(sk0_15,binary_relation_type)|member(ordered_pair(X0,sk0_0(X0,sk0_15)),sk0_15)|~spl0_47)),
% 6.83/1.19 inference(resolution,[status(thm)],[f4341,f238])).
% 6.83/1.19 fof(f4372,plain,(
% 6.83/1.19 spl0_52|~spl0_37|~spl0_47),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4371,f4368,f3988,f4340])).
% 6.83/1.19 fof(f4373,plain,(
% 6.83/1.19 spl0_53 <=> ~member(X0,domain_of(sk0_15))|member(X0,domain_of(sk0_15))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4376,plain,(
% 6.83/1.19 ![X0,X1]: (~member(X0,domain_of(sk0_15))|member(X0,domain_of(sk0_15))|~member(X1,domain_of(sk0_15))|member(X1,domain_of(sk0_15)))),
% 6.83/1.19 inference(resolution,[status(thm)],[f3960,f4046])).
% 6.83/1.19 fof(f4377,plain,(
% 6.83/1.19 spl0_53),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4376,f4373])).
% 6.83/1.19 fof(f4385,plain,(
% 6.83/1.19 member(sk0_6(sk0_14,domain_of(sk0_15)),domain_of(sk0_15))|spl0_49),
% 6.83/1.19 inference(resolution,[status(thm)],[f4350,f1254])).
% 6.83/1.19 fof(f4386,plain,(
% 6.83/1.19 ~ilf_type(sk0_15,binary_relation_type)|member(ordered_pair(sk0_12(domain_of(sk0_15)),sk0_0(sk0_12(domain_of(sk0_15)),sk0_15)),sk0_15)|spl0_49),
% 6.83/1.19 inference(resolution,[status(thm)],[f4385,f256])).
% 6.83/1.19 fof(f4387,plain,(
% 6.83/1.19 ~spl0_37|spl0_34|spl0_49),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4386,f3988,f3950,f4348])).
% 6.83/1.19 fof(f4388,plain,(
% 6.83/1.19 spl0_55 <=> member(ordered_pair(sk0_6(sk0_14,domain_of(sk0_15)),sk0_0(sk0_6(sk0_14,domain_of(sk0_15)),sk0_15)),sk0_15)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4391,plain,(
% 6.83/1.19 ~ilf_type(sk0_15,binary_relation_type)|member(ordered_pair(sk0_6(sk0_14,domain_of(sk0_15)),sk0_0(sk0_6(sk0_14,domain_of(sk0_15)),sk0_15)),sk0_15)|spl0_49),
% 6.83/1.19 inference(resolution,[status(thm)],[f4385,f238])).
% 6.83/1.19 fof(f4392,plain,(
% 6.83/1.19 ~spl0_37|spl0_55|spl0_49),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4391,f3988,f4388,f4348])).
% 6.83/1.19 fof(f4411,plain,(
% 6.83/1.19 spl0_56 <=> ~member(sk0_15,power_set(cross_product(X0,X1)))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4412,plain,(
% 6.83/1.19 ![X0,X1]: (~member(sk0_15,power_set(cross_product(X0,X1)))|~spl0_56)),
% 6.83/1.19 inference(component_clause,[status(thm)],[f4411])).
% 6.83/1.19 fof(f4450,plain,(
% 6.83/1.19 ![X0]: (~ilf_type(sk0_15,binary_relation_type)|~member(X0,sk0_14)|member(ordered_pair(X0,sk0_0(X0,sk0_15)),sk0_15)|~spl0_48)),
% 6.83/1.19 inference(paramodulation,[status(thm)],[f4346,f238])).
% 6.83/1.19 fof(f4451,plain,(
% 6.83/1.19 ~spl0_37|spl0_52|~spl0_48),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4450,f3988,f4368,f4345])).
% 6.83/1.19 fof(f4503,plain,(
% 6.83/1.19 ![X0]: (domain_of(sk0_15)=X0|~subset(domain_of(sk0_15),X0)|~member(sk0_6(domain_of(sk0_15),X0),sk0_14)|~spl0_52)),
% 6.83/1.19 inference(resolution,[status(thm)],[f4047,f4369])).
% 6.83/1.19 fof(f4508,plain,(
% 6.83/1.19 domain_of(sk0_15)=sk0_14|~subset(domain_of(sk0_15),sk0_14)|domain_of(sk0_15)=sk0_14|~subset(domain_of(sk0_15),sk0_14)|~spl0_52),
% 6.83/1.19 inference(resolution,[status(thm)],[f4503,f1255])).
% 6.83/1.19 fof(f4509,plain,(
% 6.83/1.19 spl0_48|~spl0_49|~spl0_52),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4508,f4345,f4348,f4368])).
% 6.83/1.19 fof(f4520,plain,(
% 6.83/1.19 spl0_65 <=> member(sk0_5(sk0_14,domain_of(sk0_15)),sk0_14)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4522,plain,(
% 6.83/1.19 ~member(sk0_5(sk0_14,domain_of(sk0_15)),sk0_14)|spl0_65),
% 6.83/1.19 inference(component_clause,[status(thm)],[f4520])).
% 6.83/1.19 fof(f4523,plain,(
% 6.83/1.19 spl0_66 <=> member(sk0_5(sk0_14,domain_of(sk0_15)),domain_of(sk0_15))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4524,plain,(
% 6.83/1.19 member(sk0_5(sk0_14,domain_of(sk0_15)),domain_of(sk0_15))|~spl0_66),
% 6.83/1.19 inference(component_clause,[status(thm)],[f4523])).
% 6.83/1.19 fof(f4526,plain,(
% 6.83/1.19 domain_of(sk0_15)=sk0_14|~member(sk0_5(sk0_14,domain_of(sk0_15)),sk0_14)|domain_of(sk0_15)=sk0_14|member(sk0_5(sk0_14,domain_of(sk0_15)),domain_of(sk0_15))|~spl0_47),
% 6.83/1.19 inference(resolution,[status(thm)],[f4354,f1941])).
% 6.83/1.19 fof(f4527,plain,(
% 6.83/1.19 spl0_48|~spl0_65|spl0_66|~spl0_47),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4526,f4345,f4520,f4523,f4340])).
% 6.83/1.19 fof(f4528,plain,(
% 6.83/1.19 domain_of(sk0_15)=sk0_14|member(sk0_5(sk0_14,domain_of(sk0_15)),domain_of(sk0_15))|spl0_65),
% 6.83/1.19 inference(resolution,[status(thm)],[f4522,f1941])).
% 6.83/1.19 fof(f4529,plain,(
% 6.83/1.19 spl0_48|spl0_66|spl0_65),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4528,f4345,f4523,f4520])).
% 6.83/1.19 fof(f4584,plain,(
% 6.83/1.19 ![X0,X1]: (~ilf_type(sk0_15,subset_type(cross_product(X0,X1)))|~spl0_56)),
% 6.83/1.19 inference(resolution,[status(thm)],[f4412,f4094])).
% 6.83/1.19 fof(f4589,plain,(
% 6.83/1.19 spl0_67 <=> ilf_type(sk0_15,set_type)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4591,plain,(
% 6.83/1.19 ~ilf_type(sk0_15,set_type)|spl0_67),
% 6.83/1.19 inference(component_clause,[status(thm)],[f4589])).
% 6.83/1.19 fof(f4592,plain,(
% 6.83/1.19 spl0_68 <=> ~ilf_type(sk0_15,member_type(power_set(cross_product(X0,X1))))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4593,plain,(
% 6.83/1.19 ![X0,X1]: (~ilf_type(sk0_15,member_type(power_set(cross_product(X0,X1))))|~spl0_68)),
% 6.83/1.19 inference(component_clause,[status(thm)],[f4592])).
% 6.83/1.19 fof(f4595,plain,(
% 6.83/1.19 ![X0,X1]: (~ilf_type(sk0_15,set_type)|~ilf_type(sk0_15,member_type(power_set(cross_product(X0,X1))))|~spl0_56)),
% 6.83/1.19 inference(resolution,[status(thm)],[f4584,f1938])).
% 6.83/1.19 fof(f4596,plain,(
% 6.83/1.19 ~spl0_67|spl0_68|~spl0_56),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4595,f4589,f4592,f4411])).
% 6.83/1.19 fof(f4597,plain,(
% 6.83/1.19 $false|spl0_67),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f4591,f157])).
% 6.83/1.19 fof(f4598,plain,(
% 6.83/1.19 spl0_67),
% 6.83/1.19 inference(contradiction_clause,[status(thm)],[f4597])).
% 6.83/1.19 fof(f4600,plain,(
% 6.83/1.19 spl0_69 <=> ~ilf_type(sk0_15,subset_type(cross_product(X0,X1)))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4601,plain,(
% 6.83/1.19 ![X0,X1]: (~ilf_type(sk0_15,subset_type(cross_product(X0,X1)))|~spl0_69)),
% 6.83/1.19 inference(component_clause,[status(thm)],[f4600])).
% 6.83/1.19 fof(f4603,plain,(
% 6.83/1.19 ![X0,X1]: (~ilf_type(sk0_15,set_type)|~ilf_type(sk0_15,subset_type(cross_product(X0,X1)))|~spl0_68)),
% 6.83/1.19 inference(resolution,[status(thm)],[f4593,f1937])).
% 6.83/1.19 fof(f4604,plain,(
% 6.83/1.19 ~spl0_67|spl0_69|~spl0_68),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4603,f4589,f4600,f4592])).
% 6.83/1.19 fof(f4610,plain,(
% 6.83/1.19 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(sk0_15,relation_type(X1,X0))|~spl0_69)),
% 6.83/1.19 inference(resolution,[status(thm)],[f4601,f1936])).
% 6.83/1.19 fof(f4611,plain,(
% 6.83/1.19 ![X0,X1]: (~ilf_type(sk0_15,relation_type(X0,X1))|~spl0_69)),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f4610,f157])).
% 6.83/1.19 fof(f4614,plain,(
% 6.83/1.19 $false|~spl0_69),
% 6.83/1.19 inference(backward_subsumption_resolution,[status(thm)],[f163,f4611])).
% 6.83/1.19 fof(f4615,plain,(
% 6.83/1.19 ~spl0_69),
% 6.83/1.19 inference(contradiction_clause,[status(thm)],[f4614])).
% 6.83/1.19 fof(f4630,plain,(
% 6.83/1.19 spl0_70 <=> ilf_type(sk0_14,set_type)),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4632,plain,(
% 6.83/1.19 ~ilf_type(sk0_14,set_type)|spl0_70),
% 6.83/1.19 inference(component_clause,[status(thm)],[f4630])).
% 6.83/1.19 fof(f4633,plain,(
% 6.83/1.19 ~ilf_type(sk0_14,set_type)|domain_of(sk0_15)=sk0_14|~member(sk0_5(sk0_14,domain_of(sk0_15)),sk0_14)|~spl0_66),
% 6.83/1.19 inference(resolution,[status(thm)],[f4524,f1939])).
% 6.83/1.19 fof(f4634,plain,(
% 6.83/1.19 ~spl0_70|spl0_48|~spl0_65|~spl0_66),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4633,f4630,f4345,f4520,f4523])).
% 6.83/1.19 fof(f4642,plain,(
% 6.83/1.19 $false|spl0_70),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f4632,f157])).
% 6.83/1.19 fof(f4643,plain,(
% 6.83/1.19 spl0_70),
% 6.83/1.19 inference(contradiction_clause,[status(thm)],[f4642])).
% 6.83/1.19 fof(f4663,plain,(
% 6.83/1.19 range(sk0_14,sk0_13,sk0_15)=range_of(sk0_15)),
% 6.83/1.19 inference(resolution,[status(thm)],[f4300,f163])).
% 6.83/1.19 fof(f4666,plain,(
% 6.83/1.19 spl0_72 <=> ilf_type(range_of(sk0_15),subset_type(sk0_13))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4669,plain,(
% 6.83/1.19 ~ilf_type(sk0_13,set_type)|~ilf_type(sk0_15,relation_type(sk0_14,sk0_13))|ilf_type(range_of(sk0_15),subset_type(sk0_13))),
% 6.83/1.19 inference(paramodulation,[status(thm)],[f4663,f4301])).
% 6.83/1.19 fof(f4670,plain,(
% 6.83/1.19 ~spl0_9|~spl0_10|spl0_72),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4669,f215,f218,f4666])).
% 6.83/1.19 fof(f4695,plain,(
% 6.83/1.19 ![X0,X1,X2,X3]: (~member(X0,domain(X1,X2,X3))|member(X0,X1)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X1,X2)))),
% 6.83/1.19 inference(resolution,[status(thm)],[f4316,f209])).
% 6.83/1.19 fof(f4696,plain,(
% 6.83/1.19 ![X0,X1,X2,X3]: (~member(X0,domain(X1,X2,X3))|member(X0,X1)|~ilf_type(X3,relation_type(X1,X2)))),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f4695,f157])).
% 6.83/1.19 fof(f4719,plain,(
% 6.83/1.19 ![X0]: (~member(X0,domain(sk0_14,sk0_13,sk0_15))|member(X0,sk0_14))),
% 6.83/1.19 inference(resolution,[status(thm)],[f4696,f163])).
% 6.83/1.19 fof(f4759,plain,(
% 6.83/1.19 domain(sk0_14,sk0_13,sk0_15)=domain_of(sk0_15)),
% 6.83/1.19 inference(resolution,[status(thm)],[f4298,f163])).
% 6.83/1.19 fof(f4762,plain,(
% 6.83/1.19 ![X0]: (~member(X0,domain_of(sk0_15))|member(X0,sk0_14))),
% 6.83/1.19 inference(backward_demodulation,[status(thm)],[f4759,f4719])).
% 6.83/1.19 fof(f4763,plain,(
% 6.83/1.19 spl0_73 <=> ilf_type(domain_of(sk0_15),subset_type(sk0_14))),
% 6.83/1.19 introduced(split_symbol_definition)).
% 6.83/1.19 fof(f4766,plain,(
% 6.83/1.19 ~ilf_type(sk0_13,set_type)|~ilf_type(sk0_15,relation_type(sk0_14,sk0_13))|ilf_type(domain_of(sk0_15),subset_type(sk0_14))),
% 6.83/1.19 inference(paramodulation,[status(thm)],[f4759,f209])).
% 6.83/1.19 fof(f4767,plain,(
% 6.83/1.19 ~spl0_9|~spl0_10|spl0_73),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4766,f215,f218,f4763])).
% 6.83/1.19 fof(f4769,plain,(
% 6.83/1.19 ~member(sk0_5(sk0_14,domain_of(sk0_15)),domain_of(sk0_15))|spl0_65),
% 6.83/1.19 inference(resolution,[status(thm)],[f4762,f4522])).
% 6.83/1.19 fof(f4770,plain,(
% 6.83/1.19 $false|~spl0_66|spl0_65),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f4769,f4524])).
% 6.83/1.19 fof(f4771,plain,(
% 6.83/1.19 ~spl0_66|spl0_65),
% 6.83/1.19 inference(contradiction_clause,[status(thm)],[f4770])).
% 6.83/1.19 fof(f4778,plain,(
% 6.83/1.19 sk0_14=domain_of(sk0_15)|~spl0_4),
% 6.83/1.19 inference(backward_demodulation,[status(thm)],[f184,f4759])).
% 6.83/1.19 fof(f4779,plain,(
% 6.83/1.19 spl0_48|~spl0_4),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4778,f4345,f183])).
% 6.83/1.19 fof(f4784,plain,(
% 6.83/1.19 ~domain_of(sk0_15)=sk0_14|spl0_4),
% 6.83/1.19 inference(backward_demodulation,[status(thm)],[f4759,f185])).
% 6.83/1.19 fof(f4785,plain,(
% 6.83/1.19 ~spl0_48|spl0_4),
% 6.83/1.19 inference(split_clause,[status(thm)],[f4784,f4345,f183])).
% 6.83/1.19 fof(f5042,plain,(
% 6.83/1.19 ~member(sk0_17,sk0_14)|~spl0_52|~spl0_8),
% 6.83/1.19 inference(resolution,[status(thm)],[f4369,f214])).
% 6.83/1.19 fof(f5043,plain,(
% 6.83/1.19 $false|~spl0_7|~spl0_52|~spl0_8),
% 6.83/1.19 inference(forward_subsumption_resolution,[status(thm)],[f5042,f196])).
% 6.83/1.19 fof(f5044,plain,(
% 6.83/1.19 ~spl0_7|~spl0_52|~spl0_8),
% 6.83/1.19 inference(contradiction_clause,[status(thm)],[f5043])).
% 6.83/1.19 fof(f5045,plain,(
% 6.83/1.19 $false),
% 6.83/1.19 inference(sat_refutation,[status(thm)],[f175,f179,f186,f190,f198,f202,f211,f227,f229,f2515,f2856,f2920,f3180,f3596,f3936,f3941,f3946,f3992,f4002,f4004,f4040,f4166,f4344,f4362,f4372,f4377,f4387,f4392,f4451,f4509,f4527,f4529,f4596,f4598,f4604,f4615,f4634,f4643,f4670,f4767,f4771,f4779,f4785,f5044])).
% 6.83/1.19 % SZS output end CNFRefutation for theBenchmark.p
% 6.83/1.23 % Elapsed time: 0.914255 seconds
% 6.83/1.23 % CPU time: 7.069817 seconds
% 6.83/1.23 % Total memory used: 187.181 MB
% 6.83/1.23 % Net memory used: 184.331 MB
%------------------------------------------------------------------------------