%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET653+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 : n002.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 0.07s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET653+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.36 % Computer : n002.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Mon Sep 21 05:34:01 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.37 % Drodi V4.1.1
% 0.07/0.38 % Refutation found
% 0.07/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.38 fof(f1,axiom,(
% 0.07/0.38 (! [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) ) ) )) )) )),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f2,axiom,(
% 0.07/0.38 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> ( subset(domain_of(D),B)& subset(range_of(D),C) ) ) )) )) )),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f3,axiom,(
% 0.07/0.38 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(B,D))=> ( subset(domain_of(E),C)=> ilf_type(E,relation_type(C,D)) ) ) )) )) )) )),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f22,axiom,(
% 0.07/0.38 (! [B] : ilf_type(B,set_type) )),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f23,conjecture,(
% 0.07/0.38 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(B,D))=> ( subset(B,C)=> ilf_type(E,relation_type(C,D)) ) ) )) )) )) )),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f24,negated_conjecture,(
% 0.07/0.38 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(B,D))=> ( subset(B,C)=> ilf_type(E,relation_type(C,D)) ) ) )) )) )) ))),
% 0.07/0.38 inference(negated_conjecture,[status(cth)],[f23])).
% 0.07/0.38 fof(f25,plain,(
% 0.07/0.38 ![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)))))))),
% 0.07/0.38 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.07/0.38 fof(f26,plain,(
% 0.07/0.38 ![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))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.07/0.38 fof(f27,plain,(
% 0.07/0.38 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|(subset(domain_of(D),B)&subset(range_of(D),C)))))))),
% 0.07/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.07/0.38 fof(f28,plain,(
% 0.07/0.38 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|subset(domain_of(X2),X0))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.07/0.38 fof(f30,plain,(
% 0.07/0.38 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,relation_type(B,D))|(~subset(domain_of(E),C)|ilf_type(E,relation_type(C,D))))))))))),
% 0.07/0.38 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.07/0.38 fof(f31,plain,(
% 0.07/0.38 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X0,X2))|~subset(domain_of(X3),X1)|ilf_type(X3,relation_type(X1,X2)))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.07/0.38 fof(f98,plain,(
% 0.07/0.38 ![X0]: (ilf_type(X0,set_type))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.07/0.38 fof(f99,plain,(
% 0.07/0.38 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,relation_type(B,D))&(subset(B,C)&~ilf_type(E,relation_type(C,D)))))))))))),
% 0.07/0.38 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.07/0.38 fof(f100,plain,(
% 0.07/0.38 (ilf_type(sK9_skl,set_type)&(ilf_type(sK10_skl,set_type)&(ilf_type(sK11_skl,set_type)&(ilf_type(sK12_skl,relation_type(sK9_skl,sK11_skl))&(subset(sK9_skl,sK10_skl)&~ilf_type(sK12_skl,relation_type(sK10_skl,sK11_skl)))))))),
% 0.07/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl,sK11_skl,sK12_skl]),skolemize(B,sK9_skl),skolemize(C,sK10_skl),skolemize(D,sK11_skl),skolemize(E,sK12_skl)],[f99])).
% 0.07/0.38 fof(f104,plain,(
% 0.07/0.38 ilf_type(sK12_skl,relation_type(sK9_skl,sK11_skl))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f100])).
% 0.07/0.38 fof(f105,plain,(
% 0.07/0.38 subset(sK9_skl,sK10_skl)),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f100])).
% 0.07/0.38 fof(f106,plain,(
% 0.07/0.38 ~ilf_type(sK12_skl,relation_type(sK10_skl,sK11_skl))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f100])).
% 0.07/0.38 fof(f107,plain,(
% 0.07/0.38 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X2,X0)|~subset(X0,X1)|subset(X2,X1))),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f26,f98])).
% 0.07/0.38 fof(f112,plain,(
% 0.07/0.38 ![X0]: (~ilf_type(sK9_skl,set_type)|~ilf_type(sK10_skl,set_type)|~subset(X0,sK9_skl)|subset(X0,sK10_skl))),
% 0.07/0.38 inference(resolution,[status(thm)],[f107,f105])).
% 0.07/0.38 fof(f123,plain,(
% 0.07/0.38 ![X0]: (~ilf_type(sK10_skl,set_type)|~subset(X0,sK9_skl)|subset(X0,sK10_skl))),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f112,f98])).
% 0.07/0.38 fof(f156,plain,(
% 0.07/0.38 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|subset(domain_of(X1),X2))),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f28,f98])).
% 0.07/0.38 fof(f157,plain,(
% 0.07/0.38 ~ilf_type(sK11_skl,set_type)|subset(domain_of(sK12_skl),sK9_skl)),
% 0.07/0.38 inference(resolution,[status(thm)],[f156,f104])).
% 0.07/0.38 fof(f158,plain,(
% 0.07/0.38 subset(domain_of(sK12_skl),sK9_skl)),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f157,f98])).
% 0.07/0.38 fof(f162,plain,(
% 0.07/0.38 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X3,X1))|~subset(domain_of(X2),X0)|ilf_type(X2,relation_type(X0,X1)))),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f31,f98])).
% 0.07/0.38 fof(f163,plain,(
% 0.07/0.38 ![X0]: (~ilf_type(X0,set_type)|~ilf_type(sK11_skl,set_type)|~subset(domain_of(sK12_skl),X0)|ilf_type(sK12_skl,relation_type(X0,sK11_skl)))),
% 0.07/0.38 inference(resolution,[status(thm)],[f162,f104])).
% 0.07/0.38 fof(f164,plain,(
% 0.07/0.38 ![X0]: (~ilf_type(sK11_skl,set_type)|~subset(domain_of(sK12_skl),X0)|ilf_type(sK12_skl,relation_type(X0,sK11_skl)))),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f163,f98])).
% 0.07/0.38 fof(f181,plain,(
% 0.07/0.38 ![X0]: (~subset(X0,sK9_skl)|subset(X0,sK10_skl))),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f123,f98])).
% 0.07/0.38 fof(f182,plain,(
% 0.07/0.38 subset(domain_of(sK12_skl),sK10_skl)),
% 0.07/0.38 inference(resolution,[status(thm)],[f181,f158])).
% 0.07/0.38 fof(f311,plain,(
% 0.07/0.38 ![X0]: (~subset(domain_of(sK12_skl),X0)|ilf_type(sK12_skl,relation_type(X0,sK11_skl)))),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f164,f98])).
% 0.07/0.38 fof(f312,plain,(
% 0.07/0.38 ilf_type(sK12_skl,relation_type(sK10_skl,sK11_skl))),
% 0.07/0.38 inference(resolution,[status(thm)],[f311,f182])).
% 0.07/0.38 fof(f316,plain,(
% 0.07/0.38 $false),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f312,f106])).
% 0.07/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.049698 seconds
% 0.13/0.42 % CPU time: 0.101294 seconds
% 0.13/0.42 % Total memory used: 18.548 MB
% 0.13/0.42 % Net memory used: 18.477 MB
%------------------------------------------------------------------------------