%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET655+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 : n016.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 02:12:24 PM UTC 2026
% Result : Theorem 1.30s 0.69s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET655+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
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:36:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 1.30/0.69 % Refutation found
% 1.30/0.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.30/0.69 % SZS output start CNFRefutation for theBenchmark
% 1.30/0.69 fof(f2,axiom,(
% 1.30/0.69 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,set_type)=> ( ( subset(B,C)& subset(D,E) )=> subset(cross_product(B,D),cross_product(C,E)) ) ) )) )) )) )),
% 1.30/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.69 fof(f3,axiom,(
% 1.30/0.69 (! [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))) ) )) ) )) )),
% 1.30/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.69 fof(f5,axiom,(
% 1.30/0.69 (! [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) ) ) )) ) )) )),
% 1.30/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.69 fof(f7,axiom,(
% 1.30/0.69 (! [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))) ) ) )) )),
% 1.30/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.69 fof(f10,axiom,(
% 1.30/0.69 (! [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) ) ) )) ) )) )),
% 1.30/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.69 fof(f11,axiom,(
% 1.30/0.69 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 1.30/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.69 fof(f12,axiom,(
% 1.30/0.69 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 1.30/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.69 fof(f14,axiom,(
% 1.30/0.69 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 1.30/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.69 fof(f19,axiom,(
% 1.30/0.69 (! [B] : ilf_type(B,set_type) )),
% 1.30/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.69 fof(f20,conjecture,(
% 1.30/0.69 (! [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,D))=> ( ( subset(B,C)& subset(D,E) )=> ilf_type(F,relation_type(C,E)) ) ) )) )) )) )) )),
% 1.30/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.30/0.69 fof(f21,negated_conjecture,(
% 1.30/0.69 ~((! [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,D))=> ( ( subset(B,C)& subset(D,E) )=> ilf_type(F,relation_type(C,E)) ) ) )) )) )) )) ))),
% 1.30/0.69 inference(negated_conjecture,[status(cth)],[f20])).
% 1.30/0.69 fof(f24,plain,(
% 1.30/0.69 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|((~subset(B,C)|~subset(D,E))|subset(cross_product(B,D),cross_product(C,E))))))))))),
% 1.30/0.69 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 1.30/0.69 fof(f25,plain,(
% 1.30/0.69 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~subset(X0,X1)|~subset(X2,X3)|subset(cross_product(X0,X2),cross_product(X1,X3)))),
% 1.30/0.69 inference(cnf_transformation,[status(thm)],[f24])).
% 1.30/0.69 fof(f26,plain,(
% 1.30/0.69 ![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)))))))))),
% 1.30/0.69 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 1.30/0.69 fof(f27,plain,(
% 1.30/0.69 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,subset_type(cross_product(X0,X1)))|ilf_type(X2,relation_type(X0,X1)))),
% 1.30/0.69 inference(cnf_transformation,[status(thm)],[f26])).
% 1.30/0.69 fof(f28,plain,(
% 1.30/0.69 ![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))))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f26])).
% 1.30/0.70 fof(f32,plain,(
% 1.30/0.70 ![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))))))))),
% 1.30/0.70 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 1.30/0.70 fof(f33,plain,(
% 1.30/0.70 ![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)))))))))),
% 1.30/0.70 inference(NNF_transformation,[status(thm)],[f32])).
% 1.30/0.70 fof(f34,plain,(
% 1.30/0.70 ![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(sK1_skl(C,B),set_type)&(member(sK1_skl(C,B),B)&~member(sK1_skl(C,B),C))))))))),
% 1.30/0.70 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B))],[f33])).
% 1.30/0.70 fof(f35,plain,(
% 1.30/0.70 ![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))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f34])).
% 1.30/0.70 fof(f37,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|member(sK1_skl(X1,X0),X0))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f34])).
% 1.30/0.70 fof(f38,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|~member(sK1_skl(X1,X0),X1))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f34])).
% 1.30/0.70 fof(f41,plain,(
% 1.30/0.70 ![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)))))))),
% 1.30/0.70 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 1.30/0.70 fof(f42,plain,(
% 1.30/0.70 ![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))))))))),
% 1.30/0.70 inference(NNF_transformation,[status(thm)],[f41])).
% 1.30/0.70 fof(f43,plain,(
% 1.30/0.70 ![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))))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f42])).
% 1.30/0.70 fof(f44,plain,(
% 1.30/0.70 ![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))))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f42])).
% 1.30/0.70 fof(f50,plain,(
% 1.30/0.70 ![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))))))))),
% 1.30/0.70 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 1.30/0.70 fof(f51,plain,(
% 1.30/0.70 ![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)))))))))),
% 1.30/0.70 inference(NNF_transformation,[status(thm)],[f50])).
% 1.30/0.70 fof(f52,plain,(
% 1.30/0.70 ![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(sK3_skl(C,B),set_type)&(member(sK3_skl(C,B),B)&~member(sK3_skl(C,B),C))))))))),
% 1.30/0.70 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(D,sK3_skl(C,B))],[f51])).
% 1.30/0.70 fof(f53,plain,(
% 1.30/0.70 ![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))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f52])).
% 1.30/0.70 fof(f55,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|member(sK3_skl(X1,X0),X0))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f52])).
% 1.30/0.70 fof(f56,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|~member(sK3_skl(X1,X0),X1))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f52])).
% 1.30/0.70 fof(f57,plain,(
% 1.30/0.70 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 1.30/0.70 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 1.30/0.70 fof(f58,plain,(
% 1.30/0.70 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f57])).
% 1.30/0.70 fof(f60,plain,(
% 1.30/0.70 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 1.30/0.70 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 1.30/0.70 fof(f61,plain,(
% 1.30/0.70 ![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))))))),
% 1.30/0.70 inference(NNF_transformation,[status(thm)],[f60])).
% 1.30/0.70 fof(f62,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f61])).
% 1.30/0.70 fof(f63,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f61])).
% 1.30/0.70 fof(f67,plain,(
% 1.30/0.70 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 1.30/0.70 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 1.30/0.70 fof(f68,plain,(
% 1.30/0.70 ![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))))))),
% 1.30/0.70 inference(NNF_transformation,[status(thm)],[f67])).
% 1.30/0.70 fof(f69,plain,(
% 1.30/0.70 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(ilf_type(sK5_skl(B),set_type)&member(sK5_skl(B),B)))))),
% 1.30/0.70 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(C,sK5_skl(B))],[f68])).
% 1.30/0.70 fof(f70,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f69])).
% 1.30/0.70 fof(f88,plain,(
% 1.30/0.70 ![X0]: (ilf_type(X0,set_type))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f19])).
% 1.30/0.70 fof(f89,plain,(
% 1.30/0.70 (?[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,D))&((subset(B,C)&subset(D,E))&~ilf_type(F,relation_type(C,E)))))))))))))),
% 1.30/0.70 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 1.30/0.70 fof(f90,plain,(
% 1.30/0.70 (ilf_type(sK9_skl,set_type)&(ilf_type(sK10_skl,set_type)&(ilf_type(sK11_skl,set_type)&(ilf_type(sK12_skl,set_type)&(ilf_type(sK13_skl,relation_type(sK9_skl,sK11_skl))&((subset(sK9_skl,sK10_skl)&subset(sK11_skl,sK12_skl))&~ilf_type(sK13_skl,relation_type(sK10_skl,sK12_skl))))))))),
% 1.30/0.70 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl]),skolemize(B,sK9_skl),skolemize(C,sK10_skl),skolemize(D,sK11_skl),skolemize(E,sK12_skl),skolemize(F,sK13_skl)],[f89])).
% 1.30/0.70 fof(f95,plain,(
% 1.30/0.70 ilf_type(sK13_skl,relation_type(sK9_skl,sK11_skl))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f90])).
% 1.30/0.70 fof(f96,plain,(
% 1.30/0.70 subset(sK9_skl,sK10_skl)),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f90])).
% 1.30/0.70 fof(f97,plain,(
% 1.30/0.70 subset(sK11_skl,sK12_skl)),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f90])).
% 1.30/0.70 fof(f98,plain,(
% 1.30/0.70 ~ilf_type(sK13_skl,relation_type(sK10_skl,sK12_skl))),
% 1.30/0.70 inference(cnf_transformation,[status(thm)],[f90])).
% 1.30/0.70 fof(f99,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f63,f70])).
% 1.30/0.70 fof(f108,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f62,f88])).
% 1.30/0.70 fof(f109,plain,(
% 1.30/0.70 ![X0]: (~empty(power_set(X0)))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f58,f88])).
% 1.30/0.70 fof(f110,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|member(X0,power_set(X1))|~member(sK3_skl(X1,X0),X1))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f56,f88])).
% 1.30/0.70 fof(f111,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|member(X0,power_set(X1))|member(sK3_skl(X1,X0),X0))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f55,f88])).
% 1.30/0.70 fof(f112,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f53,f88])).
% 1.30/0.70 fof(f115,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X1,subset_type(X0))|~ilf_type(X1,member_type(power_set(X0))))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f44,f88])).
% 1.30/0.70 fof(f116,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(X0))|ilf_type(X1,member_type(power_set(X0))))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f43,f88])).
% 1.30/0.70 fof(f117,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|~member(sK1_skl(X1,X0),X1))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f38,f88])).
% 1.30/0.70 fof(f118,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|member(sK1_skl(X1,X0),X0))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f37,f88])).
% 1.30/0.70 fof(f119,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f35,f88])).
% 1.30/0.70 fof(f121,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(X1,subset_type(cross_product(X0,X2))))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f28,f88])).
% 1.30/0.70 fof(f122,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X0,X2)))|ilf_type(X1,relation_type(X0,X2)))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f27,f88])).
% 1.30/0.70 fof(f123,plain,(
% 1.30/0.70 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X0,X1)|~subset(X2,X3)|subset(cross_product(X0,X2),cross_product(X1,X3)))),
% 1.30/0.70 inference(backward_subsumption_resolution,[status(thm)],[f25,f88])).
% 1.30/0.70 fof(f125,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f99,f88])).
% 1.30/0.70 fof(f130,plain,(
% 1.30/0.70 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f108,f88])).
% 1.30/0.70 fof(f131,plain,(
% 1.30/0.70 ![X0,X1]: (member(X0,power_set(X1))|~member(sK3_skl(X1,X0),X1))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f110,f88])).
% 1.30/0.70 fof(f132,plain,(
% 1.30/0.70 ![X0,X1]: (member(X0,power_set(X1))|member(sK3_skl(X1,X0),X0))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f111,f88])).
% 1.30/0.70 fof(f133,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~member(X2,X1)|member(X2,X0))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f112,f88])).
% 1.30/0.70 fof(f134,plain,(
% 1.30/0.70 ![X0,X1]: (ilf_type(X0,subset_type(X1))|~ilf_type(X0,member_type(power_set(X1))))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f115,f88])).
% 1.30/0.70 fof(f135,plain,(
% 1.30/0.70 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f116,f88])).
% 1.30/0.70 fof(f136,plain,(
% 1.30/0.70 ![X0,X1]: (subset(X0,X1)|~member(sK1_skl(X1,X0),X1))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f117,f88])).
% 1.30/0.70 fof(f137,plain,(
% 1.30/0.70 ![X0,X1]: (subset(X0,X1)|member(sK1_skl(X1,X0),X0))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f118,f88])).
% 1.30/0.70 fof(f138,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~member(X2,X1)|member(X2,X0))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f119,f88])).
% 1.30/0.70 fof(f140,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f121,f88])).
% 1.30/0.70 fof(f141,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|ilf_type(X0,relation_type(X1,X2)))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f122,f88])).
% 1.30/0.70 fof(f142,plain,(
% 1.30/0.70 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X2,X0)|~subset(X1,X3)|subset(cross_product(X2,X1),cross_product(X0,X3)))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f123,f88])).
% 1.30/0.70 fof(f146,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 1.30/0.70 inference(resolution,[status(thm)],[f138,f88])).
% 1.30/0.70 fof(f147,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~subset(X0,X1)|~member(sK1_skl(X1,X2),X0)|subset(X2,X1))),
% 1.30/0.70 inference(resolution,[status(thm)],[f146,f136])).
% 1.30/0.70 fof(f149,plain,(
% 1.30/0.70 ![X0,X1,X2,X3]: (~subset(X0,X1)|subset(X2,X1)|~subset(X3,X0)|~member(sK1_skl(X1,X2),X3))),
% 1.30/0.70 inference(resolution,[status(thm)],[f147,f146])).
% 1.30/0.70 fof(f156,plain,(
% 1.30/0.70 ![X0,X1,X2]: (member(X0,power_set(X1))|~subset(X2,X1)|~member(sK3_skl(X1,X0),X2))),
% 1.30/0.70 inference(resolution,[status(thm)],[f131,f146])).
% 1.30/0.70 fof(f163,plain,(
% 1.30/0.70 ![X0,X1]: (ilf_type(X0,subset_type(X1))|~ilf_type(power_set(X1),set_type)|~member(X0,power_set(X1)))),
% 1.30/0.70 inference(resolution,[status(thm)],[f134,f125])).
% 1.30/0.70 fof(f165,plain,(
% 1.30/0.70 ![X0,X1]: (ilf_type(X0,subset_type(X1))|~member(X0,power_set(X1)))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f163,f88])).
% 1.30/0.70 fof(f166,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 1.30/0.70 inference(resolution,[status(thm)],[f133,f88])).
% 1.30/0.70 fof(f169,plain,(
% 1.30/0.70 ilf_type(sK13_skl,subset_type(cross_product(sK9_skl,sK11_skl)))),
% 1.30/0.70 inference(resolution,[status(thm)],[f140,f95])).
% 1.30/0.70 fof(f171,plain,(
% 1.30/0.70 ilf_type(sK13_skl,member_type(power_set(cross_product(sK9_skl,sK11_skl))))),
% 1.30/0.70 inference(resolution,[status(thm)],[f169,f135])).
% 1.30/0.70 fof(f174,plain,(
% 1.30/0.70 empty(power_set(cross_product(sK9_skl,sK11_skl)))|member(sK13_skl,power_set(cross_product(sK9_skl,sK11_skl)))),
% 1.30/0.70 inference(resolution,[status(thm)],[f171,f130])).
% 1.30/0.70 fof(f175,plain,(
% 1.30/0.70 member(sK13_skl,power_set(cross_product(sK9_skl,sK11_skl)))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f174,f109])).
% 1.30/0.70 fof(f207,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(sK1_skl(X1,X2),X0)|subset(X2,X1))),
% 1.30/0.70 inference(resolution,[status(thm)],[f166,f136])).
% 1.30/0.70 fof(f235,plain,(
% 1.30/0.70 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1)|member(X0,power_set(X1)))),
% 1.30/0.70 inference(resolution,[status(thm)],[f156,f132])).
% 1.30/0.70 fof(f239,plain,(
% 1.30/0.70 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1))),
% 1.30/0.70 inference(duplicate_literals_removal,[status(thm)],[f235])).
% 1.30/0.70 fof(f244,plain,(
% 1.30/0.70 ![X0,X1]: (~subset(X0,X1)|ilf_type(X0,subset_type(X1)))),
% 1.30/0.70 inference(resolution,[status(thm)],[f239,f165])).
% 1.30/0.70 fof(f245,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~subset(X0,cross_product(X1,X2))|ilf_type(X0,relation_type(X1,X2)))),
% 1.30/0.70 inference(resolution,[status(thm)],[f244,f141])).
% 1.30/0.70 fof(f309,plain,(
% 1.30/0.70 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1)|subset(X0,X1))),
% 1.30/0.70 inference(resolution,[status(thm)],[f207,f137])).
% 1.30/0.70 fof(f314,plain,(
% 1.30/0.70 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1))),
% 1.30/0.70 inference(duplicate_literals_removal,[status(thm)],[f309])).
% 1.30/0.70 fof(f316,plain,(
% 1.30/0.70 subset(sK13_skl,cross_product(sK9_skl,sK11_skl))),
% 1.30/0.70 inference(resolution,[status(thm)],[f314,f175])).
% 1.30/0.70 fof(f343,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~subset(X0,X1)|subset(X2,X1)|~subset(X2,X0)|subset(X2,X1))),
% 1.30/0.70 inference(resolution,[status(thm)],[f149,f137])).
% 1.30/0.70 fof(f348,plain,(
% 1.30/0.70 ![X0,X1,X2]: (~subset(X0,X1)|subset(X2,X1)|~subset(X2,X0))),
% 1.30/0.70 inference(duplicate_literals_removal,[status(thm)],[f343])).
% 1.30/0.70 fof(f363,plain,(
% 1.30/0.70 ![X0]: (~subset(cross_product(sK9_skl,sK11_skl),X0)|subset(sK13_skl,X0))),
% 1.30/0.70 inference(resolution,[status(thm)],[f348,f316])).
% 1.30/0.70 fof(f418,plain,(
% 1.30/0.70 ![X0,X1]: (subset(sK13_skl,cross_product(X0,X1))|~ilf_type(X0,set_type)|~ilf_type(sK11_skl,set_type)|~subset(sK9_skl,X0)|~subset(sK11_skl,X1))),
% 1.30/0.70 inference(resolution,[status(thm)],[f363,f142])).
% 1.30/0.70 fof(f420,plain,(
% 1.30/0.70 ![X0,X1]: (subset(sK13_skl,cross_product(X0,X1))|~ilf_type(sK11_skl,set_type)|~subset(sK9_skl,X0)|~subset(sK11_skl,X1))),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f418,f88])).
% 1.30/0.70 fof(f429,plain,(
% 1.30/0.70 ![X0,X1]: (subset(sK13_skl,cross_product(X0,X1))|~subset(sK9_skl,X0)|~subset(sK11_skl,X1))),
% 1.30/0.70 inference(resolution,[status(thm)],[f420,f88])).
% 1.30/0.70 fof(f571,plain,(
% 1.30/0.70 ![X0]: (subset(sK13_skl,cross_product(X0,sK12_skl))|~subset(sK9_skl,X0))),
% 1.30/0.70 inference(resolution,[status(thm)],[f429,f97])).
% 1.30/0.70 fof(f660,plain,(
% 1.30/0.70 subset(sK13_skl,cross_product(sK10_skl,sK12_skl))),
% 1.30/0.70 inference(resolution,[status(thm)],[f571,f96])).
% 1.30/0.70 fof(f664,plain,(
% 1.30/0.70 ilf_type(sK13_skl,relation_type(sK10_skl,sK12_skl))),
% 1.30/0.70 inference(resolution,[status(thm)],[f660,f245])).
% 1.30/0.70 fof(f668,plain,(
% 1.30/0.70 $false),
% 1.30/0.70 inference(forward_subsumption_resolution,[status(thm)],[f664,f98])).
% 1.30/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 1.30/0.74 % Elapsed time: 0.356182 seconds
% 1.30/0.74 % CPU time: 2.459243 seconds
% 1.30/0.74 % Total memory used: 118.993 MB
% 1.30/0.74 % Net memory used: 115.691 MB
%------------------------------------------------------------------------------