%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET681+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 02:12:27 PM UTC 2026
% Result : Theorem 0.12s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET681+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:30:05 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.42 % Refutation found
% 0.12/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.42 fof(f1,axiom,(
% 0.12/0.42 (! [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) ) )) ) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f3,axiom,(
% 0.12/0.42 (! [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) ) ) ) )) )) )) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f6,axiom,(
% 0.12/0.42 (! [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))) ) )) ) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f8,axiom,(
% 0.12/0.42 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f10,axiom,(
% 0.12/0.42 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f17,axiom,(
% 0.12/0.42 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f26,axiom,(
% 0.12/0.42 (! [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) ) )) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f29,axiom,(
% 0.12/0.42 (! [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) ) )) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f31,axiom,(
% 0.12/0.42 (! [B] : ilf_type(B,set_type) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f32,conjecture,(
% 0.12/0.42 (! [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) ) )) ) )) )) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f33,negated_conjecture,(
% 0.12/0.42 ~((! [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) ) )) ) )) )) )) ))),
% 0.12/0.42 inference(negated_conjecture,[status(cth)],[f32])).
% 0.12/0.42 fof(f34,plain,(
% 0.12/0.42 ![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)))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.42 fof(f35,plain,(
% 0.12/0.42 ![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))))))))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f34])).
% 0.12/0.42 fof(f36,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|((~member(B,range_of(C))|(ilf_type(sK0_skl(C,B),set_type)&member(ordered_pair(sK0_skl(C,B),B),C)))&(member(B,range_of(C))|(![D]: (~ilf_type(D,set_type)|~member(ordered_pair(D,B),C))))))))),
% 0.12/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f35])).
% 0.12/0.42 fof(f38,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(X0,range_of(X1))|member(ordered_pair(sK0_skl(X1,X0),X0),X1))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.42 fof(f39,plain,(
% 0.12/0.42 ![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))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.42 fof(f43,plain,(
% 0.12/0.42 ![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))))))))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.12/0.42 fof(f44,plain,(
% 0.12/0.42 ![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))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f43])).
% 0.12/0.42 fof(f53,plain,(
% 0.12/0.42 ![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)))))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.12/0.42 fof(f55,plain,(
% 0.12/0.42 ![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))))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f53])).
% 0.12/0.42 fof(f59,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.12/0.42 fof(f60,plain,(
% 0.12/0.42 ![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))))))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f59])).
% 0.12/0.42 fof(f62,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f60])).
% 0.12/0.42 fof(f66,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.12/0.42 fof(f67,plain,(
% 0.12/0.42 ![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))))))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f66])).
% 0.12/0.42 fof(f68,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(ilf_type(sK3_skl(B),set_type)&member(sK3_skl(B),B)))))),
% 0.12/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(C,sK3_skl(B))],[f67])).
% 0.12/0.42 fof(f69,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f84,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.12/0.42 fof(f85,plain,(
% 0.12/0.42 ![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)))))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f84])).
% 0.12/0.42 fof(f88,plain,(
% 0.12/0.42 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f85])).
% 0.12/0.42 fof(f127,plain,(
% 0.12/0.42 ![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))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.12/0.42 fof(f128,plain,(
% 0.12/0.42 ![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))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f127])).
% 0.12/0.42 fof(f133,plain,(
% 0.12/0.42 ![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))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.12/0.42 fof(f134,plain,(
% 0.12/0.42 ![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))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f133])).
% 0.12/0.42 fof(f137,plain,(
% 0.12/0.42 ![X0]: (ilf_type(X0,set_type))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.42 fof(f138,plain,(
% 0.12/0.42 (?[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))))))))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.12/0.42 fof(f139,plain,(
% 0.12/0.42 ?[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))))))))))))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f138])).
% 0.12/0.42 fof(f140,plain,(
% 0.12/0.42 ((~empty(sK11_skl)&ilf_type(sK11_skl,set_type))&((~empty(sK12_skl)&ilf_type(sK12_skl,set_type))&(ilf_type(sK13_skl,relation_type(sK12_skl,sK11_skl))&(ilf_type(sK14_skl,member_type(sK11_skl))&((member(sK14_skl,range(sK12_skl,sK11_skl,sK13_skl))|(ilf_type(sK15_skl,member_type(sK12_skl))&member(ordered_pair(sK15_skl,sK14_skl),sK13_skl)))&(~member(sK14_skl,range(sK12_skl,sK11_skl,sK13_skl))|(![F]: (~ilf_type(F,member_type(sK12_skl))|~member(ordered_pair(F,sK14_skl),sK13_skl)))))))))),
% 0.12/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl,sK14_skl,sK15_skl]),skolemize(B,sK11_skl),skolemize(C,sK12_skl),skolemize(D,sK13_skl),skolemize(E,sK14_skl),skolemize(F,sK15_skl)],[f139])).
% 0.12/0.42 fof(f145,plain,(
% 0.12/0.42 ilf_type(sK13_skl,relation_type(sK12_skl,sK11_skl))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f140])).
% 0.12/0.42 fof(f148,plain,(
% 0.12/0.42 member(sK14_skl,range(sK12_skl,sK11_skl,sK13_skl))|member(ordered_pair(sK15_skl,sK14_skl),sK13_skl)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f140])).
% 0.12/0.42 fof(f149,plain,(
% 0.12/0.42 ![X0]: (~member(sK14_skl,range(sK12_skl,sK11_skl,sK13_skl))|~ilf_type(X0,member_type(sK12_skl))|~member(ordered_pair(X0,sK14_skl),sK13_skl))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f140])).
% 0.12/0.42 fof(f150,plain,(
% 0.12/0.42 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.12/0.42 inference(duplicate_literals_removal,[status(thm)],[f88])).
% 0.12/0.42 fof(f151,plain,(
% 0.12/0.42 ![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))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f44,f137])).
% 0.12/0.42 fof(f152,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(sK11_skl,set_type)|~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sK13_skl)|member(X0,sK12_skl))),
% 0.12/0.42 inference(resolution,[status(thm)],[f151,f145])).
% 0.12/0.42 fof(f153,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sK13_skl)|member(X0,sK12_skl))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f152,f137])).
% 0.12/0.42 fof(f159,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~member(X1,range_of(X0))|member(ordered_pair(sK0_skl(X0,X1),X1),X0))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f38,f137])).
% 0.12/0.42 fof(f160,plain,(
% 0.12/0.42 ![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))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f39,f137])).
% 0.12/0.42 fof(f163,plain,(
% 0.12/0.42 ![X0,X1]: (~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f69,f137])).
% 0.12/0.42 fof(f164,plain,(
% 0.12/0.42 ![X0,X1]: (~empty(X0)|~member(X1,X0))),
% 0.12/0.42 inference(resolution,[status(thm)],[f163,f137])).
% 0.12/0.42 fof(f174,plain,(
% 0.12/0.42 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f62,f137])).
% 0.12/0.42 fof(f175,plain,(
% 0.12/0.42 ![X0,X1]: (empty(X0)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.12/0.42 inference(resolution,[status(thm)],[f174,f137])).
% 0.12/0.42 fof(f178,plain,(
% 0.12/0.42 ![X0,X1]: (ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f175,f164])).
% 0.12/0.42 fof(f188,plain,(
% 0.12/0.42 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f150,f137])).
% 0.12/0.42 fof(f205,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|~member(ordered_pair(X1,X0),sK13_skl)|member(X1,sK12_skl))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f153,f137])).
% 0.12/0.42 fof(f247,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f55,f137])).
% 0.12/0.42 fof(f248,plain,(
% 0.12/0.42 ~ilf_type(sK11_skl,set_type)|ilf_type(sK13_skl,subset_type(cross_product(sK12_skl,sK11_skl)))),
% 0.12/0.42 inference(resolution,[status(thm)],[f247,f145])).
% 0.12/0.42 fof(f249,plain,(
% 0.12/0.42 ilf_type(sK13_skl,subset_type(cross_product(sK12_skl,sK11_skl)))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f248,f137])).
% 0.12/0.42 fof(f268,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|range(X2,X0,X1)=range_of(X1))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f134,f137])).
% 0.12/0.42 fof(f270,plain,(
% 0.12/0.42 ~ilf_type(sK11_skl,set_type)|range(sK12_skl,sK11_skl,sK13_skl)=range_of(sK13_skl)),
% 0.12/0.42 inference(resolution,[status(thm)],[f268,f145])).
% 0.12/0.42 fof(f272,plain,(
% 0.12/0.42 range(sK12_skl,sK11_skl,sK13_skl)=range_of(sK13_skl)),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f270,f137])).
% 0.12/0.42 fof(f280,plain,(
% 0.12/0.42 ![X0]: (~member(sK14_skl,range_of(sK13_skl))|~ilf_type(X0,member_type(sK12_skl))|~member(ordered_pair(X0,sK14_skl),sK13_skl))),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f272,f149])).
% 0.12/0.42 fof(f281,plain,(
% 0.12/0.42 member(sK14_skl,range_of(sK13_skl))|member(ordered_pair(sK15_skl,sK14_skl),sK13_skl)),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f272,f148])).
% 0.12/0.42 fof(f323,plain,(
% 0.12/0.42 member(sK14_skl,range_of(sK13_skl))|~ilf_type(sK13_skl,binary_relation_type)|member(sK14_skl,range_of(sK13_skl))|~ilf_type(sK15_skl,set_type)),
% 0.12/0.42 inference(resolution,[status(thm)],[f281,f160])).
% 0.12/0.42 fof(f330,plain,(
% 0.12/0.42 member(sK14_skl,range_of(sK13_skl))|~ilf_type(sK13_skl,binary_relation_type)|~ilf_type(sK15_skl,set_type)),
% 0.12/0.42 inference(duplicate_literals_removal,[status(thm)],[f323])).
% 0.12/0.42 fof(f331,plain,(
% 0.12/0.42 member(sK14_skl,range_of(sK13_skl))|~ilf_type(sK13_skl,binary_relation_type)),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f330,f137])).
% 0.12/0.42 fof(f623,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f128,f137])).
% 0.12/0.42 fof(f630,plain,(
% 0.12/0.42 ~ilf_type(sK11_skl,set_type)|relation_like(sK13_skl)),
% 0.12/0.42 inference(resolution,[status(thm)],[f623,f249])).
% 0.12/0.42 fof(f638,plain,(
% 0.12/0.42 relation_like(sK13_skl)),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f630,f137])).
% 0.12/0.42 fof(f651,plain,(
% 0.12/0.42 ilf_type(sK13_skl,binary_relation_type)),
% 0.12/0.42 inference(resolution,[status(thm)],[f638,f188])).
% 0.12/0.42 fof(f652,plain,(
% 0.12/0.42 member(sK14_skl,range_of(sK13_skl))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f331,f651])).
% 0.12/0.42 fof(f660,plain,(
% 0.12/0.42 ![X0]: (~ilf_type(X0,member_type(sK12_skl))|~member(ordered_pair(X0,sK14_skl),sK13_skl))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f280,f652])).
% 0.12/0.42 fof(f662,plain,(
% 0.12/0.42 ~ilf_type(sK13_skl,binary_relation_type)|member(ordered_pair(sK0_skl(sK13_skl,sK14_skl),sK14_skl),sK13_skl)),
% 0.12/0.42 inference(resolution,[status(thm)],[f652,f159])).
% 0.12/0.42 fof(f667,plain,(
% 0.12/0.42 member(ordered_pair(sK0_skl(sK13_skl,sK14_skl),sK14_skl),sK13_skl)),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f662,f651])).
% 0.12/0.42 fof(f735,plain,(
% 0.12/0.42 ~ilf_type(sK0_skl(sK13_skl,sK14_skl),member_type(sK12_skl))),
% 0.12/0.42 inference(resolution,[status(thm)],[f667,f660])).
% 0.12/0.42 fof(f737,plain,(
% 0.12/0.42 ~ilf_type(sK14_skl,set_type)|member(sK0_skl(sK13_skl,sK14_skl),sK12_skl)),
% 0.12/0.42 inference(resolution,[status(thm)],[f667,f205])).
% 0.12/0.42 fof(f746,plain,(
% 0.12/0.42 member(sK0_skl(sK13_skl,sK14_skl),sK12_skl)),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f737,f137])).
% 0.12/0.42 fof(f754,plain,(
% 0.12/0.42 ilf_type(sK0_skl(sK13_skl,sK14_skl),member_type(sK12_skl))),
% 0.12/0.42 inference(resolution,[status(thm)],[f746,f178])).
% 0.12/0.42 fof(f814,plain,(
% 0.12/0.42 $false),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f754,f735])).
% 0.12/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.45 % Elapsed time: 0.084065 seconds
% 0.12/0.45 % CPU time: 0.383112 seconds
% 0.12/0.45 % Total memory used: 89.222 MB
% 0.12/0.45 % Net memory used: 88.681 MB
%------------------------------------------------------------------------------