%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET686+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:12:28 PM UTC 2026
% Result : Theorem 0.08s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET686+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:27:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.45 % Refutation found
% 0.08/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.45 fof(f1,axiom,(
% 0.08/0.45 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,binary_relation_type)=> ( member(C,inverse2(D,B))<=> (? [E] :( ilf_type(E,set_type)& member(ordered_pair(C,E),D)& member(E,B) ) )) ) )) )) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f2,axiom,(
% 0.08/0.45 (! [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) ) ) ) )) )) )) )) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f5,axiom,(
% 0.08/0.45 (! [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))) ) )) ) )) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f7,axiom,(
% 0.08/0.45 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f15,axiom,(
% 0.08/0.45 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f24,axiom,(
% 0.08/0.45 (! [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) ) )) )) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f25,axiom,(
% 0.08/0.45 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> (! [E] :( ilf_type(E,set_type)=> inverse4(B,C,D,E) = inverse2(D,E) ) )) )) )) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f27,axiom,(
% 0.08/0.45 (! [B] : ilf_type(B,set_type) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f28,conjecture,(
% 0.08/0.45 (! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ( ~ empty(D)& ilf_type(D,set_type) )=> (! [E] :( ilf_type(E,relation_type(B,D))=> (! [F] :( ilf_type(F,member_type(B))=> ( member(F,inverse4(B,D,E,C))<=> (? [G] :( ilf_type(G,member_type(D))& member(ordered_pair(F,G),E)& member(G,C) ) )) ) )) )) )) )) )),
% 0.08/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f29,negated_conjecture,(
% 0.08/0.45 ~((! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ( ~ empty(D)& ilf_type(D,set_type) )=> (! [E] :( ilf_type(E,relation_type(B,D))=> (! [F] :( ilf_type(F,member_type(B))=> ( member(F,inverse4(B,D,E,C))<=> (? [G] :( ilf_type(G,member_type(D))& member(ordered_pair(F,G),E)& member(G,C) ) )) ) )) )) )) )) ))),
% 0.08/0.45 inference(negated_conjecture,[status(cth)],[f28])).
% 0.08/0.45 fof(f30,plain,(
% 0.08/0.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|(member(C,inverse2(D,B))<=>(?[E]: ((ilf_type(E,set_type)&member(ordered_pair(C,E),D))&member(E,B)))))))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.08/0.45 fof(f31,plain,(
% 0.08/0.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|((~member(C,inverse2(D,B))|(?[E]: ((ilf_type(E,set_type)&member(ordered_pair(C,E),D))&member(E,B))))&(member(C,inverse2(D,B))|(![E]: ((~ilf_type(E,set_type)|~member(ordered_pair(C,E),D))|~member(E,B))))))))))),
% 0.08/0.45 inference(NNF_transformation,[status(thm)],[f30])).
% 0.08/0.45 fof(f32,plain,(
% 0.08/0.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|((~member(C,inverse2(D,B))|((ilf_type(sK0_skl(D,C,B),set_type)&member(ordered_pair(C,sK0_skl(D,C,B)),D))&member(sK0_skl(D,C,B),B)))&(member(C,inverse2(D,B))|(![E]: ((~ilf_type(E,set_type)|~member(ordered_pair(C,E),D))|~member(E,B))))))))))),
% 0.08/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(E,sK0_skl(D,C,B))],[f31])).
% 0.08/0.45 fof(f34,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|~member(X1,inverse2(X2,X0))|member(ordered_pair(X1,sK0_skl(X2,X1,X0)),X2))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f32])).
% 0.08/0.45 fof(f35,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|~member(X1,inverse2(X2,X0))|member(sK0_skl(X2,X1,X0),X0))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f32])).
% 0.08/0.45 fof(f36,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|member(X1,inverse2(X2,X0))|~ilf_type(X3,set_type)|~member(ordered_pair(X1,X3),X2)|~member(X3,X0))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f32])).
% 0.08/0.45 fof(f37,plain,(
% 0.08/0.45 ![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))))))))))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.45 fof(f39,plain,(
% 0.08/0.45 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,relation_type(X0,X1))|~member(ordered_pair(X2,X3),X4)|member(X3,X1))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f37])).
% 0.08/0.45 fof(f47,plain,(
% 0.08/0.45 ![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)))))))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.08/0.45 fof(f49,plain,(
% 0.08/0.45 ![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))))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f47])).
% 0.08/0.45 fof(f53,plain,(
% 0.08/0.45 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.08/0.45 fof(f54,plain,(
% 0.08/0.45 ![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))))))),
% 0.08/0.45 inference(NNF_transformation,[status(thm)],[f53])).
% 0.08/0.45 fof(f56,plain,(
% 0.08/0.45 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f54])).
% 0.08/0.45 fof(f77,plain,(
% 0.08/0.45 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.08/0.45 fof(f78,plain,(
% 0.08/0.45 ![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)))))),
% 0.08/0.45 inference(NNF_transformation,[status(thm)],[f77])).
% 0.08/0.45 fof(f81,plain,(
% 0.08/0.45 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f78])).
% 0.08/0.45 fof(f120,plain,(
% 0.08/0.45 ![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))))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.08/0.45 fof(f121,plain,(
% 0.08/0.45 ![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))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f120])).
% 0.08/0.45 fof(f122,plain,(
% 0.08/0.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|(![E]: (~ilf_type(E,set_type)|inverse4(B,C,D,E)=inverse2(D,E))))))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.08/0.45 fof(f123,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|~ilf_type(X3,set_type)|inverse4(X0,X1,X2,X3)=inverse2(X2,X3))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f122])).
% 0.08/0.45 fof(f126,plain,(
% 0.08/0.45 ![X0]: (ilf_type(X0,set_type))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f27])).
% 0.08/0.45 fof(f127,plain,(
% 0.08/0.45 (?[B]: ((~empty(B)&ilf_type(B,set_type))&(?[C]: ((~empty(C)&ilf_type(C,set_type))&(?[D]: ((~empty(D)&ilf_type(D,set_type))&(?[E]: (ilf_type(E,relation_type(B,D))&(?[F]: (ilf_type(F,member_type(B))&(member(F,inverse4(B,D,E,C))<~>(?[G]: ((ilf_type(G,member_type(D))&member(ordered_pair(F,G),E))&member(G,C))))))))))))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.08/0.45 fof(f128,plain,(
% 0.08/0.45 ?[B]: ((~empty(B)&ilf_type(B,set_type))&(?[C]: ((~empty(C)&ilf_type(C,set_type))&(?[D]: ((~empty(D)&ilf_type(D,set_type))&(?[E]: (ilf_type(E,relation_type(B,D))&(?[F]: (ilf_type(F,member_type(B))&((member(F,inverse4(B,D,E,C))|(?[G]: ((ilf_type(G,member_type(D))&member(ordered_pair(F,G),E))&member(G,C))))&(~member(F,inverse4(B,D,E,C))|(![G]: ((~ilf_type(G,member_type(D))|~member(ordered_pair(F,G),E))|~member(G,C))))))))))))))),
% 0.08/0.45 inference(NNF_transformation,[status(thm)],[f127])).
% 0.08/0.45 fof(f129,plain,(
% 0.08/0.45 ((~empty(sK11_skl)&ilf_type(sK11_skl,set_type))&((~empty(sK12_skl)&ilf_type(sK12_skl,set_type))&((~empty(sK13_skl)&ilf_type(sK13_skl,set_type))&(ilf_type(sK14_skl,relation_type(sK11_skl,sK13_skl))&(ilf_type(sK15_skl,member_type(sK11_skl))&((member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl))|((ilf_type(sK16_skl,member_type(sK13_skl))&member(ordered_pair(sK15_skl,sK16_skl),sK14_skl))&member(sK16_skl,sK12_skl)))&(~member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl))|(![G]: ((~ilf_type(G,member_type(sK13_skl))|~member(ordered_pair(sK15_skl,G),sK14_skl))|~member(G,sK12_skl))))))))))),
% 0.08/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl,sK14_skl,sK15_skl,sK16_skl]),skolemize(B,sK11_skl),skolemize(C,sK12_skl),skolemize(D,sK13_skl),skolemize(E,sK14_skl),skolemize(F,sK15_skl),skolemize(G,sK16_skl)],[f128])).
% 0.08/0.45 fof(f134,plain,(
% 0.08/0.45 ~empty(sK13_skl)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f129])).
% 0.08/0.45 fof(f136,plain,(
% 0.08/0.45 ilf_type(sK14_skl,relation_type(sK11_skl,sK13_skl))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f129])).
% 0.08/0.45 fof(f138,plain,(
% 0.08/0.45 member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl))|ilf_type(sK16_skl,member_type(sK13_skl))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f129])).
% 0.08/0.45 fof(f139,plain,(
% 0.08/0.45 member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl))|member(ordered_pair(sK15_skl,sK16_skl),sK14_skl)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f129])).
% 0.08/0.45 fof(f140,plain,(
% 0.08/0.45 member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl))|member(sK16_skl,sK12_skl)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f129])).
% 0.08/0.45 fof(f141,plain,(
% 0.08/0.45 ![X0]: (~member(sK15_skl,inverse4(sK11_skl,sK13_skl,sK14_skl,sK12_skl))|~ilf_type(X0,member_type(sK13_skl))|~member(ordered_pair(sK15_skl,X0),sK14_skl)|~member(X0,sK12_skl))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f129])).
% 0.08/0.45 fof(f142,plain,(
% 0.08/0.45 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.08/0.45 inference(duplicate_literals_removal,[status(thm)],[f81])).
% 0.08/0.45 fof(f150,plain,(
% 0.08/0.45 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X4,X0))|~member(ordered_pair(X1,X2),X3)|member(X2,X0))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f39,f126])).
% 0.08/0.45 fof(f152,plain,(
% 0.08/0.45 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X3,X0))|~member(ordered_pair(X4,X1),X2)|member(X1,X0))),
% 0.08/0.45 inference(resolution,[status(thm)],[f150,f126])).
% 0.08/0.45 fof(f155,plain,(
% 0.08/0.45 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X3))|~member(ordered_pair(X4,X0),X1)|member(X0,X3))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f152,f126])).
% 0.08/0.45 fof(f159,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(X0,inverse2(X1,X2))|member(ordered_pair(X0,sK0_skl(X1,X0,X2)),X1))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f34,f126])).
% 0.08/0.45 fof(f162,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(X0,inverse2(X1,X2))|member(sK0_skl(X1,X0,X2),X2))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f35,f126])).
% 0.08/0.45 fof(f169,plain,(
% 0.08/0.45 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f56,f126])).
% 0.08/0.45 fof(f180,plain,(
% 0.08/0.45 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f142,f126])).
% 0.08/0.45 fof(f182,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|member(X0,inverse2(X1,X2))|~ilf_type(X3,set_type)|~member(ordered_pair(X0,X3),X1)|~member(X3,X2))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f36,f126])).
% 0.08/0.45 fof(f184,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|member(X0,inverse2(X1,X2))|~member(ordered_pair(X0,X3),X1)|~member(X3,X2))),
% 0.08/0.45 inference(resolution,[status(thm)],[f182,f126])).
% 0.08/0.45 fof(f186,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (~ilf_type(X0,binary_relation_type)|member(X1,inverse2(X0,X2))|~member(ordered_pair(X1,X3),X0)|~member(X3,X2))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f184,f126])).
% 0.08/0.45 fof(f217,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|~ilf_type(X3,set_type)|inverse4(X2,X0,X1,X3)=inverse2(X1,X3))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f123,f126])).
% 0.08/0.45 fof(f218,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|inverse4(X2,X0,X1,X3)=inverse2(X1,X3))),
% 0.08/0.45 inference(resolution,[status(thm)],[f217,f126])).
% 0.08/0.45 fof(f219,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (~ilf_type(X0,relation_type(X1,X2))|inverse4(X1,X2,X0,X3)=inverse2(X0,X3))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f218,f126])).
% 0.08/0.45 fof(f237,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f49,f126])).
% 0.08/0.45 fof(f238,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 0.08/0.45 inference(resolution,[status(thm)],[f237,f126])).
% 0.08/0.45 fof(f261,plain,(
% 0.08/0.45 ilf_type(sK14_skl,subset_type(cross_product(sK11_skl,sK13_skl)))),
% 0.08/0.45 inference(resolution,[status(thm)],[f238,f136])).
% 0.08/0.45 fof(f266,plain,(
% 0.08/0.45 ![X0]: (inverse4(sK11_skl,sK13_skl,sK14_skl,X0)=inverse2(sK14_skl,X0))),
% 0.08/0.45 inference(resolution,[status(thm)],[f219,f136])).
% 0.08/0.45 fof(f269,plain,(
% 0.08/0.45 ![X0]: (~member(sK15_skl,inverse2(sK14_skl,sK12_skl))|~ilf_type(X0,member_type(sK13_skl))|~member(ordered_pair(sK15_skl,X0),sK14_skl)|~member(X0,sK12_skl))),
% 0.08/0.45 inference(backward_demodulation,[status(thm)],[f266,f141])).
% 0.08/0.45 fof(f271,plain,(
% 0.08/0.45 member(sK15_skl,inverse2(sK14_skl,sK12_skl))|member(ordered_pair(sK15_skl,sK16_skl),sK14_skl)),
% 0.08/0.45 inference(backward_demodulation,[status(thm)],[f266,f139])).
% 0.08/0.45 fof(f272,plain,(
% 0.08/0.45 member(sK15_skl,inverse2(sK14_skl,sK12_skl))|ilf_type(sK16_skl,member_type(sK13_skl))),
% 0.08/0.45 inference(backward_demodulation,[status(thm)],[f266,f138])).
% 0.08/0.45 fof(f273,plain,(
% 0.08/0.45 member(sK15_skl,inverse2(sK14_skl,sK12_skl))|member(sK16_skl,sK12_skl)),
% 0.08/0.45 inference(backward_demodulation,[status(thm)],[f266,f140])).
% 0.08/0.45 fof(f291,plain,(
% 0.08/0.45 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X0)|member(X4,X2))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f155,f126])).
% 0.08/0.45 fof(f544,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f121,f126])).
% 0.08/0.45 fof(f552,plain,(
% 0.08/0.45 ~ilf_type(sK13_skl,set_type)|relation_like(sK14_skl)),
% 0.08/0.45 inference(resolution,[status(thm)],[f544,f261])).
% 0.08/0.45 fof(f561,plain,(
% 0.08/0.45 relation_like(sK14_skl)),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f552,f126])).
% 0.08/0.45 fof(f566,plain,(
% 0.08/0.45 ilf_type(sK14_skl,binary_relation_type)),
% 0.08/0.45 inference(resolution,[status(thm)],[f561,f180])).
% 0.08/0.45 fof(f568,plain,(
% 0.08/0.45 ![X0,X1,X2]: (member(X0,inverse2(sK14_skl,X1))|~member(ordered_pair(X0,X2),sK14_skl)|~member(X2,X1))),
% 0.08/0.45 inference(resolution,[status(thm)],[f566,f186])).
% 0.08/0.45 fof(f570,plain,(
% 0.08/0.45 ![X0,X1]: (~ilf_type(X0,set_type)|~member(X0,inverse2(sK14_skl,X1))|member(sK0_skl(sK14_skl,X0,X1),X1))),
% 0.08/0.46 inference(resolution,[status(thm)],[f566,f162])).
% 0.08/0.46 fof(f571,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|~member(X0,inverse2(sK14_skl,X1))|member(ordered_pair(X0,sK0_skl(sK14_skl,X0,X1)),sK14_skl))),
% 0.08/0.46 inference(resolution,[status(thm)],[f566,f159])).
% 0.08/0.46 fof(f572,plain,(
% 0.08/0.46 ![X0,X1]: (~member(X0,inverse2(sK14_skl,X1))|member(sK0_skl(sK14_skl,X0,X1),X1))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f570,f126])).
% 0.08/0.46 fof(f573,plain,(
% 0.08/0.46 ![X0,X1]: (~member(X0,inverse2(sK14_skl,X1))|member(ordered_pair(X0,sK0_skl(sK14_skl,X0,X1)),sK14_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f571,f126])).
% 0.08/0.46 fof(f1004,plain,(
% 0.08/0.46 ![X0]: (~ilf_type(X0,member_type(sK13_skl))|~member(ordered_pair(sK15_skl,X0),sK14_skl)|~member(X0,sK12_skl))),
% 0.08/0.46 inference(backward_subsumption_resolution,[status(thm)],[f269,f568])).
% 0.08/0.46 fof(f1006,plain,(
% 0.08/0.46 ~ilf_type(sK16_skl,member_type(sK13_skl))|~member(sK16_skl,sK12_skl)|member(sK15_skl,inverse2(sK14_skl,sK12_skl))),
% 0.08/0.46 inference(resolution,[status(thm)],[f1004,f271])).
% 0.08/0.46 fof(f1007,plain,(
% 0.08/0.46 ~member(sK16_skl,sK12_skl)|member(sK15_skl,inverse2(sK14_skl,sK12_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1006,f272])).
% 0.08/0.46 fof(f1008,plain,(
% 0.08/0.46 member(sK15_skl,inverse2(sK14_skl,sK12_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1007,f273])).
% 0.08/0.46 fof(f1009,plain,(
% 0.08/0.46 member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),sK12_skl)),
% 0.08/0.46 inference(resolution,[status(thm)],[f1008,f572])).
% 0.08/0.46 fof(f1435,plain,(
% 0.08/0.46 member(ordered_pair(sK15_skl,sK0_skl(sK14_skl,sK15_skl,sK12_skl)),sK14_skl)),
% 0.08/0.46 inference(resolution,[status(thm)],[f573,f1008])).
% 0.08/0.46 fof(f1438,plain,(
% 0.08/0.46 ~ilf_type(sK0_skl(sK14_skl,sK15_skl,sK12_skl),member_type(sK13_skl))|~member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),sK12_skl)),
% 0.08/0.46 inference(resolution,[status(thm)],[f1435,f1004])).
% 0.08/0.46 fof(f1440,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(sK14_skl,relation_type(X0,X1))|member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),X1))),
% 0.08/0.46 inference(resolution,[status(thm)],[f1435,f291])).
% 0.08/0.46 fof(f1445,plain,(
% 0.08/0.46 ~ilf_type(sK0_skl(sK14_skl,sK15_skl,sK12_skl),member_type(sK13_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1438,f1009])).
% 0.08/0.46 fof(f1581,plain,(
% 0.08/0.46 member(sK0_skl(sK14_skl,sK15_skl,sK12_skl),sK13_skl)),
% 0.08/0.46 inference(resolution,[status(thm)],[f1440,f136])).
% 0.08/0.46 fof(f1582,plain,(
% 0.08/0.46 empty(sK13_skl)|~ilf_type(sK13_skl,set_type)|ilf_type(sK0_skl(sK14_skl,sK15_skl,sK12_skl),member_type(sK13_skl))),
% 0.08/0.46 inference(resolution,[status(thm)],[f1581,f169])).
% 0.08/0.46 fof(f1583,plain,(
% 0.08/0.46 ~ilf_type(sK13_skl,set_type)|ilf_type(sK0_skl(sK14_skl,sK15_skl,sK12_skl),member_type(sK13_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1582,f134])).
% 0.08/0.46 fof(f1821,plain,(
% 0.08/0.46 ilf_type(sK0_skl(sK14_skl,sK15_skl,sK12_skl),member_type(sK13_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1583,f126])).
% 0.08/0.46 fof(f1822,plain,(
% 0.08/0.46 $false),
% 0.08/0.46 inference(backward_subsumption_resolution,[status(thm)],[f1445,f1821])).
% 0.08/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.48 % Elapsed time: 0.103498 seconds
% 0.08/0.48 % CPU time: 0.584378 seconds
% 0.08/0.48 % Total memory used: 94.508 MB
% 0.08/0.48 % Net memory used: 93.741 MB
%------------------------------------------------------------------------------