TSTP Solution File: SET681+3 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET681+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:40:10 EDT 2024
% Result : Theorem 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET681+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n005.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Apr 29 21:38:41 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.19/0.53 % Refutation found
% 0.19/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.53 fof(f1,axiom,(
% 0.19/0.53 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,binary_relation_type)=> ( member(B,range_of(C))<=> (? [D] :( ilf_type(D,set_type)& member(ordered_pair(D,B),C) ) )) ) )) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f3,axiom,(
% 0.19/0.53 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,set_type)=> (! [F] :( ilf_type(F,relation_type(B,C))=> ( member(ordered_pair(D,E),F)=> ( member(D,B)& member(E,C) ) ) ) )) )) )) )) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f4,axiom,(
% 0.19/0.53 (! [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)) ) ) )) )) )) )) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f6,axiom,(
% 0.19/0.53 (! [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))) ) )) ) )) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f8,axiom,(
% 0.19/0.53 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f10,axiom,(
% 0.19/0.53 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f17,axiom,(
% 0.19/0.53 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f18,axiom,(
% 0.19/0.53 (? [B] : ilf_type(B,binary_relation_type) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f19,axiom,(
% 0.19/0.53 (! [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))) ) ) )) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f23,axiom,(
% 0.19/0.53 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f26,axiom,(
% 0.19/0.53 (! [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) ) )) )) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f29,axiom,(
% 0.19/0.53 (! [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) ) )) )) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f30,axiom,(
% 0.19/0.53 (! [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)) ) )) )) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f31,axiom,(
% 0.19/0.53 (! [B] : ilf_type(B,set_type) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f32,conjecture,(
% 0.19/0.53 (! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ilf_type(D,relation_type(C,B))=> (! [E] :( ilf_type(E,member_type(B))=> ( member(E,range(C,B,D))<=> (? [F] :( ilf_type(F,member_type(C))& member(ordered_pair(F,E),D) ) )) ) )) )) )) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f33,negated_conjecture,(
% 0.19/0.53 ~((! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ilf_type(D,relation_type(C,B))=> (! [E] :( ilf_type(E,member_type(B))=> ( member(E,range(C,B,D))<=> (? [F] :( ilf_type(F,member_type(C))& member(ordered_pair(F,E),D) ) )) ) )) )) )) ))),
% 0.19/0.53 inference(negated_conjecture,[status(cth)],[f32])).
% 0.19/0.54 fof(f34,plain,(
% 0.19/0.54 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|(member(B,range_of(C))<=>(?[D]: (ilf_type(D,set_type)&member(ordered_pair(D,B),C)))))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.19/0.54 fof(f35,plain,(
% 0.19/0.54 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|((~member(B,range_of(C))|(?[D]: (ilf_type(D,set_type)&member(ordered_pair(D,B),C))))&(member(B,range_of(C))|(![D]: (~ilf_type(D,set_type)|~member(ordered_pair(D,B),C))))))))),
% 0.19/0.54 inference(NNF_transformation,[status(esa)],[f34])).
% 0.19/0.54 fof(f36,plain,(
% 0.19/0.54 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|((~member(B,range_of(C))|(ilf_type(sk0_0(C,B),set_type)&member(ordered_pair(sk0_0(C,B),B),C)))&(member(B,range_of(C))|(![D]: (~ilf_type(D,set_type)|~member(ordered_pair(D,B),C))))))))),
% 0.19/0.54 inference(skolemization,[status(esa)],[f35])).
% 0.19/0.54 fof(f38,plain,(
% 0.19/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(X0,range_of(X1))|member(ordered_pair(sk0_0(X1,X0),X0),X1))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f36])).
% 0.19/0.54 fof(f39,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|member(X0,range_of(X1))|~ilf_type(X2,set_type)|~member(ordered_pair(X2,X0),X1))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f36])).
% 0.19/0.54 fof(f43,plain,(
% 0.19/0.54 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|(![F]: (~ilf_type(F,relation_type(B,C))|(~member(ordered_pair(D,E),F)|(member(D,B)&member(E,C))))))))))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.19/0.54 fof(f44,plain,(
% 0.19/0.54 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,relation_type(X0,X1))|~member(ordered_pair(X2,X3),X4)|member(X2,X0))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f43])).
% 0.19/0.54 fof(f46,plain,(
% 0.19/0.54 ![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))))))))))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.19/0.54 fof(f47,plain,(
% 0.19/0.54 ![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)))))))))))))),
% 0.19/0.54 inference(NNF_transformation,[status(esa)],[f46])).
% 0.19/0.54 fof(f48,plain,(
% 0.19/0.54 (![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)))))))))))),
% 0.19/0.54 inference(miniscoping,[status(esa)],[f47])).
% 0.19/0.54 fof(f49,plain,(
% 0.19/0.54 ![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)))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f48])).
% 0.19/0.54 fof(f50,plain,(
% 0.19/0.54 ![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)))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f48])).
% 0.19/0.54 fof(f53,plain,(
% 0.19/0.54 ![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)))))))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.19/0.54 fof(f55,plain,(
% 0.19/0.54 ![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))))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f53])).
% 0.19/0.54 fof(f59,plain,(
% 0.19/0.54 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.19/0.54 fof(f60,plain,(
% 0.19/0.54 ![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))))))),
% 0.19/0.54 inference(NNF_transformation,[status(esa)],[f59])).
% 0.19/0.54 fof(f61,plain,(
% 0.19/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f60])).
% 0.19/0.54 fof(f62,plain,(
% 0.19/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f60])).
% 0.19/0.54 fof(f66,plain,(
% 0.19/0.54 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.19/0.54 fof(f67,plain,(
% 0.19/0.54 ![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))))))),
% 0.19/0.54 inference(NNF_transformation,[status(esa)],[f66])).
% 0.19/0.54 fof(f68,plain,(
% 0.19/0.54 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(ilf_type(sk0_3(B),set_type)&member(sk0_3(B),B)))))),
% 0.19/0.54 inference(skolemization,[status(esa)],[f67])).
% 0.19/0.54 fof(f69,plain,(
% 0.19/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f68])).
% 0.19/0.54 fof(f84,plain,(
% 0.19/0.54 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.19/0.54 fof(f85,plain,(
% 0.19/0.54 ![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)))))),
% 0.19/0.54 inference(NNF_transformation,[status(esa)],[f84])).
% 0.19/0.54 fof(f88,plain,(
% 0.19/0.54 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f85])).
% 0.19/0.54 fof(f89,plain,(
% 0.19/0.54 ilf_type(sk0_4,binary_relation_type)),
% 0.19/0.54 inference(skolemization,[status(esa)],[f18])).
% 0.19/0.54 fof(f90,plain,(
% 0.19/0.54 ilf_type(sk0_4,binary_relation_type)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f89])).
% 0.19/0.54 fof(f91,plain,(
% 0.19/0.54 ![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)))))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.19/0.54 fof(f92,plain,(
% 0.19/0.54 ![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))))))))),
% 0.19/0.54 inference(NNF_transformation,[status(esa)],[f91])).
% 0.19/0.54 fof(f93,plain,(
% 0.19/0.54 ![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))))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f92])).
% 0.19/0.54 fof(f113,plain,(
% 0.19/0.54 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.19/0.54 fof(f114,plain,(
% 0.19/0.54 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f113])).
% 0.19/0.54 fof(f127,plain,(
% 0.19/0.54 ![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))))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.19/0.54 fof(f128,plain,(
% 0.19/0.54 ![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))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f127])).
% 0.19/0.54 fof(f133,plain,(
% 0.19/0.54 ![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))))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 0.19/0.54 fof(f134,plain,(
% 0.19/0.54 ![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))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f133])).
% 0.19/0.54 fof(f135,plain,(
% 0.19/0.54 ![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)))))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.19/0.54 fof(f136,plain,(
% 0.19/0.54 ![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)))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f135])).
% 0.19/0.54 fof(f137,plain,(
% 0.19/0.54 ![X0]: (ilf_type(X0,set_type))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f31])).
% 0.19/0.54 fof(f138,plain,(
% 0.19/0.54 (?[B]: ((~empty(B)&ilf_type(B,set_type))&(?[C]: ((~empty(C)&ilf_type(C,set_type))&(?[D]: (ilf_type(D,relation_type(C,B))&(?[E]: (ilf_type(E,member_type(B))&(member(E,range(C,B,D))<~>(?[F]: (ilf_type(F,member_type(C))&member(ordered_pair(F,E),D))))))))))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.19/0.54 fof(f139,plain,(
% 0.19/0.54 ?[B]: ((~empty(B)&ilf_type(B,set_type))&(?[C]: ((~empty(C)&ilf_type(C,set_type))&(?[D]: (ilf_type(D,relation_type(C,B))&(?[E]: (ilf_type(E,member_type(B))&((member(E,range(C,B,D))|(?[F]: (ilf_type(F,member_type(C))&member(ordered_pair(F,E),D))))&(~member(E,range(C,B,D))|(![F]: (~ilf_type(F,member_type(C))|~member(ordered_pair(F,E),D))))))))))))),
% 0.19/0.54 inference(NNF_transformation,[status(esa)],[f138])).
% 0.19/0.54 fof(f140,plain,(
% 0.19/0.54 ((~empty(sk0_11)&ilf_type(sk0_11,set_type))&((~empty(sk0_12)&ilf_type(sk0_12,set_type))&(ilf_type(sk0_13,relation_type(sk0_12,sk0_11))&(ilf_type(sk0_14,member_type(sk0_11))&((member(sk0_14,range(sk0_12,sk0_11,sk0_13))|(ilf_type(sk0_15,member_type(sk0_12))&member(ordered_pair(sk0_15,sk0_14),sk0_13)))&(~member(sk0_14,range(sk0_12,sk0_11,sk0_13))|(![F]: (~ilf_type(F,member_type(sk0_12))|~member(ordered_pair(F,sk0_14),sk0_13)))))))))),
% 0.19/0.54 inference(skolemization,[status(esa)],[f139])).
% 0.19/0.54 fof(f141,plain,(
% 0.19/0.54 ~empty(sk0_11)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f140])).
% 0.19/0.54 fof(f142,plain,(
% 0.19/0.54 ilf_type(sk0_11,set_type)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f140])).
% 0.19/0.54 fof(f143,plain,(
% 0.19/0.54 ~empty(sk0_12)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f140])).
% 0.19/0.54 fof(f144,plain,(
% 0.19/0.54 ilf_type(sk0_12,set_type)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f140])).
% 0.19/0.54 fof(f145,plain,(
% 0.19/0.54 ilf_type(sk0_13,relation_type(sk0_12,sk0_11))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f140])).
% 0.19/0.54 fof(f146,plain,(
% 0.19/0.54 ilf_type(sk0_14,member_type(sk0_11))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f140])).
% 0.19/0.54 fof(f148,plain,(
% 0.19/0.54 member(sk0_14,range(sk0_12,sk0_11,sk0_13))|member(ordered_pair(sk0_15,sk0_14),sk0_13)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f140])).
% 0.19/0.54 fof(f149,plain,(
% 0.19/0.54 ![X0]: (~member(sk0_14,range(sk0_12,sk0_11,sk0_13))|~ilf_type(X0,member_type(sk0_12))|~member(ordered_pair(X0,sk0_14),sk0_13))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f140])).
% 0.19/0.54 fof(f150,plain,(
% 0.19/0.54 spl0_0 <=> ~ilf_type(X0,set_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f151,plain,(
% 0.19/0.54 ![X0]: (~ilf_type(X0,set_type)|~spl0_0)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f150])).
% 0.19/0.54 fof(f153,plain,(
% 0.19/0.54 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))),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f156,plain,(
% 0.19/0.54 spl0_0|spl0_1),
% 0.19/0.54 inference(split_clause,[status(thm)],[f49,f150,f153])).
% 0.19/0.54 fof(f157,plain,(
% 0.19/0.54 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))),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f160,plain,(
% 0.19/0.54 spl0_0|spl0_2),
% 0.19/0.54 inference(split_clause,[status(thm)],[f50,f150,f157])).
% 0.19/0.54 fof(f161,plain,(
% 0.19/0.54 spl0_3 <=> member(sk0_14,range(sk0_12,sk0_11,sk0_13))),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f162,plain,(
% 0.19/0.54 member(sk0_14,range(sk0_12,sk0_11,sk0_13))|~spl0_3),
% 0.19/0.54 inference(component_clause,[status(thm)],[f161])).
% 0.19/0.54 fof(f163,plain,(
% 0.19/0.54 ~member(sk0_14,range(sk0_12,sk0_11,sk0_13))|spl0_3),
% 0.19/0.54 inference(component_clause,[status(thm)],[f161])).
% 0.19/0.54 fof(f168,plain,(
% 0.19/0.54 spl0_5 <=> member(ordered_pair(sk0_15,sk0_14),sk0_13)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f169,plain,(
% 0.19/0.54 member(ordered_pair(sk0_15,sk0_14),sk0_13)|~spl0_5),
% 0.19/0.54 inference(component_clause,[status(thm)],[f168])).
% 0.19/0.54 fof(f171,plain,(
% 0.19/0.54 spl0_3|spl0_5),
% 0.19/0.54 inference(split_clause,[status(thm)],[f148,f161,f168])).
% 0.19/0.54 fof(f172,plain,(
% 0.19/0.54 spl0_6 <=> ~ilf_type(X0,member_type(sk0_12))|~member(ordered_pair(X0,sk0_14),sk0_13)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f173,plain,(
% 0.19/0.54 ![X0]: (~ilf_type(X0,member_type(sk0_12))|~member(ordered_pair(X0,sk0_14),sk0_13)|~spl0_6)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f172])).
% 0.19/0.54 fof(f175,plain,(
% 0.19/0.54 ~spl0_3|spl0_6),
% 0.19/0.54 inference(split_clause,[status(thm)],[f149,f161,f172])).
% 0.19/0.54 fof(f176,plain,(
% 0.19/0.54 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.19/0.54 inference(duplicate_literals_removal,[status(esa)],[f88])).
% 0.19/0.54 fof(f177,plain,(
% 0.19/0.54 spl0_7 <=> ilf_type(sk0_14,set_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f179,plain,(
% 0.19/0.54 ~ilf_type(sk0_14,set_type)|spl0_7),
% 0.19/0.54 inference(component_clause,[status(thm)],[f177])).
% 0.19/0.54 fof(f180,plain,(
% 0.19/0.54 spl0_8 <=> empty(sk0_11)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f181,plain,(
% 0.19/0.54 empty(sk0_11)|~spl0_8),
% 0.19/0.54 inference(component_clause,[status(thm)],[f180])).
% 0.19/0.54 fof(f183,plain,(
% 0.19/0.54 spl0_9 <=> ilf_type(sk0_11,set_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f185,plain,(
% 0.19/0.54 ~ilf_type(sk0_11,set_type)|spl0_9),
% 0.19/0.54 inference(component_clause,[status(thm)],[f183])).
% 0.19/0.54 fof(f186,plain,(
% 0.19/0.54 spl0_10 <=> member(sk0_14,sk0_11)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f191,plain,(
% 0.19/0.54 $false|spl0_9),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f185,f142])).
% 0.19/0.54 fof(f192,plain,(
% 0.19/0.54 spl0_9),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f191])).
% 0.19/0.54 fof(f193,plain,(
% 0.19/0.54 spl0_11 <=> ilf_type(sk0_12,set_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f195,plain,(
% 0.19/0.54 ~ilf_type(sk0_12,set_type)|spl0_11),
% 0.19/0.54 inference(component_clause,[status(thm)],[f193])).
% 0.19/0.54 fof(f196,plain,(
% 0.19/0.54 spl0_12 <=> range(sk0_12,sk0_11,sk0_13)=range_of(sk0_13)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f199,plain,(
% 0.19/0.54 ~ilf_type(sk0_12,set_type)|~ilf_type(sk0_11,set_type)|range(sk0_12,sk0_11,sk0_13)=range_of(sk0_13)),
% 0.19/0.54 inference(resolution,[status(thm)],[f134,f145])).
% 0.19/0.54 fof(f200,plain,(
% 0.19/0.54 ~spl0_11|~spl0_9|spl0_12),
% 0.19/0.54 inference(split_clause,[status(thm)],[f199,f193,f183,f196])).
% 0.19/0.54 fof(f201,plain,(
% 0.19/0.54 $false|spl0_11),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f195,f144])).
% 0.19/0.54 fof(f202,plain,(
% 0.19/0.54 spl0_11),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f201])).
% 0.19/0.54 fof(f203,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|range(X2,X0,X1)=range_of(X1))),
% 0.19/0.54 inference(backward_subsumption_resolution,[status(thm)],[f134,f137])).
% 0.19/0.54 fof(f204,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|range(X1,X2,X0)=range_of(X0))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f203,f137])).
% 0.19/0.54 fof(f207,plain,(
% 0.19/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 0.19/0.54 inference(backward_subsumption_resolution,[status(thm)],[f93,f137])).
% 0.19/0.54 fof(f208,plain,(
% 0.19/0.54 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f207,f137])).
% 0.19/0.54 fof(f209,plain,(
% 0.19/0.54 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.19/0.54 inference(backward_subsumption_resolution,[status(thm)],[f61,f137])).
% 0.19/0.54 fof(f210,plain,(
% 0.19/0.54 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f209,f137])).
% 0.19/0.54 fof(f211,plain,(
% 0.19/0.54 ![X0,X1]: (~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.19/0.54 inference(backward_subsumption_resolution,[status(thm)],[f69,f137])).
% 0.19/0.54 fof(f212,plain,(
% 0.19/0.54 ![X0,X1]: (~empty(X0)|~member(X1,X0))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f211,f137])).
% 0.19/0.54 fof(f214,plain,(
% 0.19/0.54 empty(sk0_11)|member(sk0_14,sk0_11)),
% 0.19/0.54 inference(resolution,[status(thm)],[f210,f146])).
% 0.19/0.54 fof(f215,plain,(
% 0.19/0.54 spl0_8|spl0_10),
% 0.19/0.54 inference(split_clause,[status(thm)],[f214,f180,f186])).
% 0.19/0.54 fof(f216,plain,(
% 0.19/0.54 $false|~spl0_8),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f181,f141])).
% 0.19/0.54 fof(f217,plain,(
% 0.19/0.54 ~spl0_8),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f216])).
% 0.19/0.54 fof(f218,plain,(
% 0.19/0.54 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X4,X0))|~member(ordered_pair(X1,X2),X3)|member(X1,X4))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f44,f137])).
% 0.19/0.54 fof(f220,plain,(
% 0.19/0.54 range(sk0_12,sk0_11,sk0_13)=range_of(sk0_13)),
% 0.19/0.54 inference(resolution,[status(thm)],[f204,f145])).
% 0.19/0.54 fof(f221,plain,(
% 0.19/0.54 ![X0]: (~empty(power_set(X0)))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f114,f137])).
% 0.19/0.54 fof(f224,plain,(
% 0.19/0.54 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f176,f137])).
% 0.19/0.54 fof(f230,plain,(
% 0.19/0.54 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~member(X1,range_of(X0))|member(ordered_pair(sk0_0(X0,X1),X1),X0))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f38,f137])).
% 0.19/0.54 fof(f231,plain,(
% 0.19/0.54 ![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))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f39,f137])).
% 0.19/0.54 fof(f232,plain,(
% 0.19/0.54 member(sk0_14,range_of(sk0_13))|~spl0_3),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f220,f162])).
% 0.19/0.54 fof(f233,plain,(
% 0.19/0.54 spl0_13 <=> ilf_type(sk0_13,binary_relation_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f235,plain,(
% 0.19/0.54 ~ilf_type(sk0_13,binary_relation_type)|spl0_13),
% 0.19/0.54 inference(component_clause,[status(thm)],[f233])).
% 0.19/0.54 fof(f236,plain,(
% 0.19/0.54 spl0_14 <=> member(ordered_pair(sk0_0(sk0_13,sk0_14),sk0_14),sk0_13)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f237,plain,(
% 0.19/0.54 member(ordered_pair(sk0_0(sk0_13,sk0_14),sk0_14),sk0_13)|~spl0_14),
% 0.19/0.54 inference(component_clause,[status(thm)],[f236])).
% 0.19/0.54 fof(f239,plain,(
% 0.19/0.54 ~ilf_type(sk0_13,binary_relation_type)|member(ordered_pair(sk0_0(sk0_13,sk0_14),sk0_14),sk0_13)|~spl0_3),
% 0.19/0.54 inference(resolution,[status(thm)],[f232,f230])).
% 0.19/0.54 fof(f240,plain,(
% 0.19/0.54 ~spl0_13|spl0_14|~spl0_3),
% 0.19/0.54 inference(split_clause,[status(thm)],[f239,f233,f236,f161])).
% 0.19/0.54 fof(f241,plain,(
% 0.19/0.54 spl0_15 <=> empty(sk0_12)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f242,plain,(
% 0.19/0.54 empty(sk0_12)|~spl0_15),
% 0.19/0.54 inference(component_clause,[status(thm)],[f241])).
% 0.19/0.54 fof(f249,plain,(
% 0.19/0.54 $false|spl0_7),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f179,f137])).
% 0.19/0.54 fof(f250,plain,(
% 0.19/0.54 spl0_7),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f249])).
% 0.19/0.54 fof(f251,plain,(
% 0.19/0.54 ~relation_like(sk0_13)|spl0_13),
% 0.19/0.54 inference(resolution,[status(thm)],[f235,f224])).
% 0.19/0.54 fof(f255,plain,(
% 0.19/0.54 $false|~spl0_0),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f151,f137])).
% 0.19/0.54 fof(f256,plain,(
% 0.19/0.54 ~spl0_0),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f255])).
% 0.19/0.54 fof(f263,plain,(
% 0.19/0.54 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f62,f137])).
% 0.19/0.54 fof(f264,plain,(
% 0.19/0.54 ![X0,X1]: (empty(X0)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.19/0.54 inference(resolution,[status(thm)],[f263,f137])).
% 0.19/0.54 fof(f265,plain,(
% 0.19/0.54 ![X0,X1]: (ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f264,f212])).
% 0.19/0.54 fof(f268,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(range(X2,X0,X1),subset_type(X0)))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f136,f137])).
% 0.19/0.54 fof(f269,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(range(X1,X2,X0),subset_type(X2)))),
% 0.19/0.54 inference(resolution,[status(thm)],[f268,f137])).
% 0.19/0.54 fof(f270,plain,(
% 0.19/0.54 ilf_type(range(sk0_12,sk0_11,sk0_13),subset_type(sk0_11))),
% 0.19/0.54 inference(resolution,[status(thm)],[f269,f145])).
% 0.19/0.54 fof(f271,plain,(
% 0.19/0.54 ilf_type(range_of(sk0_13),subset_type(sk0_11))),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f220,f270])).
% 0.19/0.54 fof(f272,plain,(
% 0.19/0.54 ilf_type(range_of(sk0_13),member_type(power_set(sk0_11)))),
% 0.19/0.54 inference(resolution,[status(thm)],[f271,f208])).
% 0.19/0.54 fof(f274,plain,(
% 0.19/0.54 spl0_17 <=> empty(power_set(sk0_11))),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f275,plain,(
% 0.19/0.54 empty(power_set(sk0_11))|~spl0_17),
% 0.19/0.54 inference(component_clause,[status(thm)],[f274])).
% 0.19/0.54 fof(f277,plain,(
% 0.19/0.54 spl0_18 <=> member(range_of(sk0_13),power_set(sk0_11))),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f280,plain,(
% 0.19/0.54 empty(power_set(sk0_11))|member(range_of(sk0_13),power_set(sk0_11))),
% 0.19/0.54 inference(resolution,[status(thm)],[f272,f210])).
% 0.19/0.54 fof(f281,plain,(
% 0.19/0.54 spl0_17|spl0_18),
% 0.19/0.54 inference(split_clause,[status(thm)],[f280,f274,f277])).
% 0.19/0.54 fof(f282,plain,(
% 0.19/0.54 $false|~spl0_17),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f275,f221])).
% 0.19/0.54 fof(f283,plain,(
% 0.19/0.54 ~spl0_17),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f282])).
% 0.19/0.54 fof(f303,plain,(
% 0.19/0.54 spl0_21 <=> ilf_type(sk0_4,binary_relation_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f305,plain,(
% 0.19/0.54 ~ilf_type(sk0_4,binary_relation_type)|spl0_21),
% 0.19/0.54 inference(component_clause,[status(thm)],[f303])).
% 0.19/0.54 fof(f309,plain,(
% 0.19/0.54 spl0_23 <=> ilf_type(sk0_0(sk0_4,sk0_3(range_of(sk0_4))),set_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f311,plain,(
% 0.19/0.54 ~ilf_type(sk0_0(sk0_4,sk0_3(range_of(sk0_4))),set_type)|spl0_23),
% 0.19/0.54 inference(component_clause,[status(thm)],[f309])).
% 0.19/0.54 fof(f317,plain,(
% 0.19/0.54 spl0_25 <=> ilf_type(sk0_3(range_of(sk0_4)),set_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f319,plain,(
% 0.19/0.54 ~ilf_type(sk0_3(range_of(sk0_4)),set_type)|spl0_25),
% 0.19/0.54 inference(component_clause,[status(thm)],[f317])).
% 0.19/0.54 fof(f327,plain,(
% 0.19/0.54 $false|spl0_21),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f305,f90])).
% 0.19/0.54 fof(f328,plain,(
% 0.19/0.54 spl0_21),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f327])).
% 0.19/0.54 fof(f329,plain,(
% 0.19/0.54 $false|spl0_25),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f319,f137])).
% 0.19/0.54 fof(f330,plain,(
% 0.19/0.54 spl0_25),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f329])).
% 0.19/0.54 fof(f331,plain,(
% 0.19/0.54 $false|spl0_23),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f311,f137])).
% 0.19/0.54 fof(f332,plain,(
% 0.19/0.54 spl0_23),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f331])).
% 0.19/0.54 fof(f699,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f55,f137])).
% 0.19/0.54 fof(f700,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 0.19/0.54 inference(resolution,[status(thm)],[f699,f137])).
% 0.19/0.54 fof(f734,plain,(
% 0.19/0.54 spl0_68 <=> ilf_type(sk0_0(sk0_4,sk0_10(range_of(sk0_4))),set_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f736,plain,(
% 0.19/0.54 ~ilf_type(sk0_0(sk0_4,sk0_10(range_of(sk0_4))),set_type)|spl0_68),
% 0.19/0.54 inference(component_clause,[status(thm)],[f734])).
% 0.19/0.54 fof(f742,plain,(
% 0.19/0.54 spl0_70 <=> ilf_type(sk0_10(range_of(sk0_4)),set_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f744,plain,(
% 0.19/0.54 ~ilf_type(sk0_10(range_of(sk0_4)),set_type)|spl0_70),
% 0.19/0.54 inference(component_clause,[status(thm)],[f742])).
% 0.19/0.54 fof(f752,plain,(
% 0.19/0.54 $false|spl0_70),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f744,f137])).
% 0.19/0.54 fof(f753,plain,(
% 0.19/0.54 spl0_70),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f752])).
% 0.19/0.54 fof(f754,plain,(
% 0.19/0.54 $false|spl0_68),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f736,f137])).
% 0.19/0.54 fof(f755,plain,(
% 0.19/0.54 spl0_68),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f754])).
% 0.19/0.54 fof(f1019,plain,(
% 0.19/0.54 spl0_74 <=> ilf_type(sk0_0(sk0_4,sk0_2(range_of(sk0_4))),set_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1021,plain,(
% 0.19/0.54 ~ilf_type(sk0_0(sk0_4,sk0_2(range_of(sk0_4))),set_type)|spl0_74),
% 0.19/0.54 inference(component_clause,[status(thm)],[f1019])).
% 0.19/0.54 fof(f1027,plain,(
% 0.19/0.54 spl0_76 <=> ilf_type(sk0_2(range_of(sk0_4)),set_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1029,plain,(
% 0.19/0.54 ~ilf_type(sk0_2(range_of(sk0_4)),set_type)|spl0_76),
% 0.19/0.54 inference(component_clause,[status(thm)],[f1027])).
% 0.19/0.54 fof(f1037,plain,(
% 0.19/0.54 $false|spl0_76),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1029,f137])).
% 0.19/0.54 fof(f1038,plain,(
% 0.19/0.54 spl0_76),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f1037])).
% 0.19/0.54 fof(f1039,plain,(
% 0.19/0.54 $false|spl0_74),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1021,f137])).
% 0.19/0.54 fof(f1040,plain,(
% 0.19/0.54 spl0_74),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f1039])).
% 0.19/0.54 fof(f1187,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f128,f137])).
% 0.19/0.54 fof(f1188,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|relation_like(X0))),
% 0.19/0.54 inference(resolution,[status(thm)],[f1187,f137])).
% 0.19/0.54 fof(f1199,plain,(
% 0.19/0.54 ![X0,X1,X2]: (relation_like(X0)|~ilf_type(X0,relation_type(X1,X2)))),
% 0.19/0.54 inference(resolution,[status(thm)],[f1188,f700])).
% 0.19/0.54 fof(f1214,plain,(
% 0.19/0.54 relation_like(sk0_13)),
% 0.19/0.54 inference(resolution,[status(thm)],[f1199,f145])).
% 0.19/0.54 fof(f1215,plain,(
% 0.19/0.54 $false|spl0_13),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1214,f251])).
% 0.19/0.54 fof(f1216,plain,(
% 0.19/0.54 spl0_13),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f1215])).
% 0.19/0.54 fof(f1289,plain,(
% 0.19/0.54 $false|~spl0_15),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f242,f143])).
% 0.19/0.54 fof(f1290,plain,(
% 0.19/0.54 ~spl0_15),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f1289])).
% 0.19/0.54 fof(f1296,plain,(
% 0.19/0.54 spl0_98 <=> member(sk0_14,range_of(sk0_13))),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1297,plain,(
% 0.19/0.54 member(sk0_14,range_of(sk0_13))|~spl0_98),
% 0.19/0.54 inference(component_clause,[status(thm)],[f1296])).
% 0.19/0.54 fof(f1299,plain,(
% 0.19/0.54 spl0_99 <=> ilf_type(sk0_15,set_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1301,plain,(
% 0.19/0.54 ~ilf_type(sk0_15,set_type)|spl0_99),
% 0.19/0.54 inference(component_clause,[status(thm)],[f1299])).
% 0.19/0.54 fof(f1302,plain,(
% 0.19/0.54 ~ilf_type(sk0_13,binary_relation_type)|member(sk0_14,range_of(sk0_13))|~ilf_type(sk0_15,set_type)|~spl0_5),
% 0.19/0.54 inference(resolution,[status(thm)],[f169,f231])).
% 0.19/0.54 fof(f1303,plain,(
% 0.19/0.54 ~spl0_13|spl0_98|~spl0_99|~spl0_5),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1302,f233,f1296,f1299,f168])).
% 0.19/0.54 fof(f1314,plain,(
% 0.19/0.54 $false|spl0_99),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1301,f137])).
% 0.19/0.54 fof(f1315,plain,(
% 0.19/0.54 spl0_99),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f1314])).
% 0.19/0.54 fof(f1367,plain,(
% 0.19/0.54 ~ilf_type(sk0_0(sk0_13,sk0_14),member_type(sk0_12))|~spl0_14|~spl0_6),
% 0.19/0.54 inference(resolution,[status(thm)],[f237,f173])).
% 0.19/0.54 fof(f1373,plain,(
% 0.19/0.54 spl0_113 <=> ilf_type(sk0_0(sk0_13,sk0_14),set_type)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1375,plain,(
% 0.19/0.54 ~ilf_type(sk0_0(sk0_13,sk0_14),set_type)|spl0_113),
% 0.19/0.54 inference(component_clause,[status(thm)],[f1373])).
% 0.19/0.54 fof(f1380,plain,(
% 0.19/0.54 spl0_114 <=> ~ilf_type(X0,set_type)|~ilf_type(sk0_13,relation_type(X1,X0))|member(sk0_0(sk0_13,sk0_14),X1)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1381,plain,(
% 0.19/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(sk0_13,relation_type(X1,X0))|member(sk0_0(sk0_13,sk0_14),X1)|~spl0_114)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f1380])).
% 0.19/0.54 fof(f1383,plain,(
% 0.19/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(sk0_0(sk0_13,sk0_14),set_type)|~ilf_type(sk0_14,set_type)|~ilf_type(sk0_13,relation_type(X1,X0))|member(sk0_0(sk0_13,sk0_14),X1)|~spl0_14)),
% 0.19/0.54 inference(resolution,[status(thm)],[f237,f218])).
% 0.19/0.54 fof(f1384,plain,(
% 0.19/0.54 spl0_114|~spl0_113|~spl0_7|~spl0_14),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1383,f1380,f1373,f177,f236])).
% 0.19/0.54 fof(f1385,plain,(
% 0.19/0.54 $false|spl0_113),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1375,f137])).
% 0.19/0.54 fof(f1386,plain,(
% 0.19/0.54 spl0_113),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f1385])).
% 0.19/0.54 fof(f1388,plain,(
% 0.19/0.54 ![X0,X1]: (~ilf_type(sk0_13,relation_type(X0,X1))|member(sk0_0(sk0_13,sk0_14),X0)|~spl0_114)),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1381,f137])).
% 0.19/0.54 fof(f1412,plain,(
% 0.19/0.54 ~member(sk0_0(sk0_13,sk0_14),sk0_12)|~spl0_14|~spl0_6),
% 0.19/0.54 inference(resolution,[status(thm)],[f1367,f265])).
% 0.19/0.54 fof(f1459,plain,(
% 0.19/0.54 member(sk0_0(sk0_13,sk0_14),sk0_12)|~spl0_114),
% 0.19/0.54 inference(resolution,[status(thm)],[f1388,f145])).
% 0.19/0.54 fof(f1460,plain,(
% 0.19/0.54 $false|~spl0_14|~spl0_6|~spl0_114),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1459,f1412])).
% 0.19/0.54 fof(f1461,plain,(
% 0.19/0.54 ~spl0_14|~spl0_6|~spl0_114),
% 0.19/0.55 inference(contradiction_clause,[status(thm)],[f1460])).
% 0.19/0.55 fof(f1463,plain,(
% 0.19/0.55 ~member(sk0_14,range_of(sk0_13))|spl0_3),
% 0.19/0.55 inference(forward_demodulation,[status(thm)],[f220,f163])).
% 0.19/0.55 fof(f1984,plain,(
% 0.19/0.55 $false|spl0_3|~spl0_98),
% 0.19/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1297,f1463])).
% 0.19/0.55 fof(f1985,plain,(
% 0.19/0.55 spl0_3|~spl0_98),
% 0.19/0.55 inference(contradiction_clause,[status(thm)],[f1984])).
% 0.19/0.55 fof(f1986,plain,(
% 0.19/0.55 $false),
% 0.19/0.55 inference(sat_refutation,[status(thm)],[f156,f160,f171,f175,f192,f200,f202,f215,f217,f240,f250,f256,f281,f283,f328,f330,f332,f753,f755,f1038,f1040,f1216,f1290,f1303,f1315,f1384,f1386,f1461,f1985])).
% 0.19/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.55 % Elapsed time: 0.193727 seconds
% 0.19/0.55 % CPU time: 1.418834 seconds
% 0.19/0.55 % Total memory used: 88.139 MB
% 0.19/0.55 % Net memory used: 87.242 MB
%------------------------------------------------------------------------------