%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET640+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 : n005.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 02:12:22 PM UTC 2026
% Result : Theorem 0.13s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET640+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n005.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:30:32 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.48 % Refutation found
% 0.13/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.48 fof(f1,axiom,(
% 0.13/0.48 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> ( ( subset(B,C)& subset(C,D) )=> subset(B,D) ) ) )) )) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f4,axiom,(
% 0.13/0.48 (! [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))) ) )) ) )) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f6,axiom,(
% 0.13/0.48 (! [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) ) ) )) ) )) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f8,axiom,(
% 0.13/0.48 (! [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))) ) ) )) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f11,axiom,(
% 0.13/0.48 (! [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) ) ) )) ) )) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f12,axiom,(
% 0.13/0.48 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f13,axiom,(
% 0.13/0.48 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f19,axiom,(
% 0.13/0.48 (! [B] : ilf_type(B,set_type) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f20,conjecture,(
% 0.13/0.48 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(C,D))=> ( subset(B,E)=> subset(B,cross_product(C,D)) ) ) )) )) )) )),
% 0.13/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f21,negated_conjecture,(
% 0.13/0.48 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(C,D))=> ( subset(B,E)=> subset(B,cross_product(C,D)) ) ) )) )) )) ))),
% 0.13/0.48 inference(negated_conjecture,[status(cth)],[f20])).
% 0.13/0.48 fof(f22,plain,(
% 0.13/0.48 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|((~subset(B,C)|~subset(C,D))|subset(B,D)))))))),
% 0.13/0.48 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.13/0.48 fof(f23,plain,(
% 0.13/0.48 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.48 fof(f35,plain,(
% 0.13/0.48 ![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)))))))))),
% 0.13/0.48 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.48 fof(f37,plain,(
% 0.13/0.48 ![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))))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.48 fof(f41,plain,(
% 0.13/0.48 ![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))))))))),
% 0.13/0.48 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.13/0.48 fof(f42,plain,(
% 0.13/0.48 ![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)))))))))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f41])).
% 0.13/0.48 fof(f43,plain,(
% 0.13/0.48 ![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(sK3_skl(C,B),set_type)&(member(sK3_skl(C,B),B)&~member(sK3_skl(C,B),C))))))))),
% 0.13/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(D,sK3_skl(C,B))],[f42])).
% 0.13/0.48 fof(f46,plain,(
% 0.13/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|member(sK3_skl(X1,X0),X0))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.48 fof(f47,plain,(
% 0.13/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|~member(sK3_skl(X1,X0),X1))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.48 fof(f50,plain,(
% 0.13/0.48 ![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)))))))),
% 0.13/0.48 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.13/0.48 fof(f51,plain,(
% 0.13/0.48 ![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))))))))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f50])).
% 0.13/0.48 fof(f52,plain,(
% 0.13/0.48 ![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))))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f51])).
% 0.13/0.48 fof(f59,plain,(
% 0.13/0.48 ![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))))))))),
% 0.13/0.48 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.13/0.48 fof(f60,plain,(
% 0.13/0.48 ![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)))))))))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f59])).
% 0.13/0.48 fof(f61,plain,(
% 0.13/0.48 ![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(sK5_skl(C,B),set_type)&(member(sK5_skl(C,B),B)&~member(sK5_skl(C,B),C))))))))),
% 0.13/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(D,sK5_skl(C,B))],[f60])).
% 0.13/0.48 fof(f62,plain,(
% 0.13/0.48 ![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))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f61])).
% 0.13/0.48 fof(f66,plain,(
% 0.13/0.48 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 0.13/0.48 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.13/0.48 fof(f67,plain,(
% 0.13/0.48 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f66])).
% 0.13/0.48 fof(f69,plain,(
% 0.13/0.48 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.13/0.48 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.13/0.48 fof(f70,plain,(
% 0.13/0.48 ![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))))))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f69])).
% 0.13/0.48 fof(f71,plain,(
% 0.13/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f70])).
% 0.13/0.48 fof(f95,plain,(
% 0.13/0.48 ![X0]: (ilf_type(X0,set_type))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.48 fof(f96,plain,(
% 0.13/0.48 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,relation_type(C,D))&(subset(B,E)&~subset(B,cross_product(C,D)))))))))))),
% 0.13/0.48 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.13/0.48 fof(f97,plain,(
% 0.13/0.48 (ilf_type(sK11_skl,set_type)&(ilf_type(sK12_skl,set_type)&(ilf_type(sK13_skl,set_type)&(ilf_type(sK14_skl,relation_type(sK12_skl,sK13_skl))&(subset(sK11_skl,sK14_skl)&~subset(sK11_skl,cross_product(sK12_skl,sK13_skl)))))))),
% 0.13/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl,sK14_skl]),skolemize(B,sK11_skl),skolemize(C,sK12_skl),skolemize(D,sK13_skl),skolemize(E,sK14_skl)],[f96])).
% 0.13/0.48 fof(f101,plain,(
% 0.13/0.48 ilf_type(sK14_skl,relation_type(sK12_skl,sK13_skl))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f97])).
% 0.13/0.48 fof(f102,plain,(
% 0.13/0.48 subset(sK11_skl,sK14_skl)),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f97])).
% 0.13/0.48 fof(f103,plain,(
% 0.13/0.48 ~subset(sK11_skl,cross_product(sK12_skl,sK13_skl))),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f97])).
% 0.13/0.48 fof(f115,plain,(
% 0.13/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.13/0.48 inference(backward_subsumption_resolution,[status(thm)],[f71,f95])).
% 0.13/0.48 fof(f116,plain,(
% 0.13/0.48 ![X0]: (~empty(power_set(X0)))),
% 0.13/0.48 inference(backward_subsumption_resolution,[status(thm)],[f67,f95])).
% 0.13/0.48 fof(f119,plain,(
% 0.13/0.48 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.13/0.48 inference(backward_subsumption_resolution,[status(thm)],[f62,f95])).
% 0.13/0.48 fof(f123,plain,(
% 0.13/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(X0))|ilf_type(X1,member_type(power_set(X0))))),
% 0.13/0.48 inference(backward_subsumption_resolution,[status(thm)],[f52,f95])).
% 0.13/0.48 fof(f124,plain,(
% 0.13/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|~member(sK3_skl(X1,X0),X1))),
% 0.13/0.48 inference(backward_subsumption_resolution,[status(thm)],[f47,f95])).
% 0.13/0.48 fof(f125,plain,(
% 0.13/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|member(sK3_skl(X1,X0),X0))),
% 0.13/0.48 inference(backward_subsumption_resolution,[status(thm)],[f46,f95])).
% 0.13/0.48 fof(f128,plain,(
% 0.13/0.48 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(X1,subset_type(cross_product(X0,X2))))),
% 0.13/0.48 inference(backward_subsumption_resolution,[status(thm)],[f37,f95])).
% 0.13/0.48 fof(f133,plain,(
% 0.13/0.48 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 0.13/0.48 inference(backward_subsumption_resolution,[status(thm)],[f23,f95])).
% 0.13/0.48 fof(f140,plain,(
% 0.13/0.48 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f115,f95])).
% 0.13/0.48 fof(f143,plain,(
% 0.13/0.48 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~member(X2,X1)|member(X2,X0))),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f119,f95])).
% 0.13/0.48 fof(f145,plain,(
% 0.13/0.48 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f123,f95])).
% 0.13/0.48 fof(f146,plain,(
% 0.13/0.48 ![X0,X1]: (subset(X0,X1)|~member(sK3_skl(X1,X0),X1))),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f124,f95])).
% 0.13/0.48 fof(f147,plain,(
% 0.13/0.48 ![X0,X1]: (subset(X0,X1)|member(sK3_skl(X1,X0),X0))),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f125,f95])).
% 0.13/0.48 fof(f150,plain,(
% 0.13/0.48 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f128,f95])).
% 0.13/0.48 fof(f155,plain,(
% 0.13/0.48 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~subset(X0,X2)|subset(X1,X2))),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f133,f95])).
% 0.13/0.48 fof(f165,plain,(
% 0.13/0.48 ilf_type(sK14_skl,subset_type(cross_product(sK12_skl,sK13_skl)))),
% 0.13/0.48 inference(resolution,[status(thm)],[f150,f101])).
% 0.13/0.48 fof(f167,plain,(
% 0.13/0.48 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.13/0.48 inference(resolution,[status(thm)],[f143,f95])).
% 0.13/0.48 fof(f180,plain,(
% 0.13/0.48 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 0.13/0.48 inference(resolution,[status(thm)],[f155,f95])).
% 0.13/0.48 fof(f186,plain,(
% 0.13/0.48 ilf_type(sK14_skl,member_type(power_set(cross_product(sK12_skl,sK13_skl))))),
% 0.13/0.48 inference(resolution,[status(thm)],[f165,f145])).
% 0.13/0.48 fof(f192,plain,(
% 0.13/0.48 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(sK3_skl(X1,X2),X0)|subset(X2,X1))),
% 0.13/0.48 inference(resolution,[status(thm)],[f167,f146])).
% 0.13/0.48 fof(f233,plain,(
% 0.13/0.48 ![X0]: (~subset(sK11_skl,X0)|~subset(X0,cross_product(sK12_skl,sK13_skl)))),
% 0.13/0.48 inference(resolution,[status(thm)],[f180,f103])).
% 0.13/0.48 fof(f247,plain,(
% 0.13/0.48 empty(power_set(cross_product(sK12_skl,sK13_skl)))|member(sK14_skl,power_set(cross_product(sK12_skl,sK13_skl)))),
% 0.13/0.48 inference(resolution,[status(thm)],[f186,f140])).
% 0.13/0.48 fof(f248,definition,(
% 0.13/0.48 sQ0_spl <=> (empty(power_set(cross_product(sK12_skl,sK13_skl))))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.49 fof(f249,plain,(
% 0.13/0.49 empty(power_set(cross_product(sK12_skl,sK13_skl)))|~sQ0_spl),
% 0.13/0.49 inference(component_clause,[status(thm)],[f248])).
% 0.13/0.49 fof(f251,definition,(
% 0.13/0.49 sQ1_spl <=> (member(sK14_skl,power_set(cross_product(sK12_skl,sK13_skl))))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.49 fof(f252,plain,(
% 0.13/0.49 member(sK14_skl,power_set(cross_product(sK12_skl,sK13_skl)))|~sQ1_spl),
% 0.13/0.49 inference(component_clause,[status(thm)],[f251])).
% 0.13/0.49 fof(f254,plain,(
% 0.13/0.49 sQ0_spl|sQ1_spl),
% 0.13/0.49 inference(split_clause,[status(thm)],[f247,f248,f251])).
% 0.13/0.49 fof(f255,plain,(
% 0.13/0.49 $false|~sQ0_spl),
% 0.13/0.49 inference(forward_subsumption_resolution,[status(thm)],[f249,f116])).
% 0.13/0.49 fof(f256,plain,(
% 0.13/0.49 ~sQ0_spl),
% 0.13/0.49 inference(contradiction_clause,[status(thm)],[f255])).
% 0.13/0.49 fof(f273,plain,(
% 0.13/0.49 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1)|subset(X0,X1))),
% 0.13/0.49 inference(resolution,[status(thm)],[f192,f147])).
% 0.13/0.49 fof(f277,plain,(
% 0.13/0.49 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1))),
% 0.13/0.49 inference(duplicate_literals_removal,[status(thm)],[f273])).
% 0.13/0.49 fof(f315,plain,(
% 0.13/0.49 subset(sK14_skl,cross_product(sK12_skl,sK13_skl))|~sQ1_spl),
% 0.13/0.49 inference(resolution,[status(thm)],[f252,f277])).
% 0.13/0.49 fof(f361,plain,(
% 0.13/0.49 ~subset(sK11_skl,sK14_skl)|~sQ1_spl),
% 0.13/0.49 inference(resolution,[status(thm)],[f315,f233])).
% 0.13/0.49 fof(f364,plain,(
% 0.13/0.49 $false|~sQ1_spl),
% 0.13/0.49 inference(forward_subsumption_resolution,[status(thm)],[f361,f102])).
% 0.13/0.49 fof(f365,plain,(
% 0.13/0.49 ~sQ1_spl),
% 0.13/0.49 inference(contradiction_clause,[status(thm)],[f364])).
% 0.13/0.49 fof(f366,plain,(
% 0.13/0.49 $false),
% 0.13/0.49 inference(sat_refutation,[status(thm)],[f254,f256,f365])).
% 0.13/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.50 % Elapsed time: 0.146636 seconds
% 0.13/0.50 % CPU time: 0.850364 seconds
% 0.13/0.50 % Total memory used: 98.325 MB
% 0.13/0.50 % Net memory used: 97.165 MB
%------------------------------------------------------------------------------