%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET643+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 02:12:23 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET643+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
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 05:35:53 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> ( subset(B,cross_product(C,D))=> ilf_type(B,relation_type(C,D)) ) ) )) )) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f10,axiom,(
% 0.13/0.40 (! [B] :( ilf_type(B,set_type)=> subset(B,B) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f19,axiom,(
% 0.13/0.40 (! [B] : ilf_type(B,set_type) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f20,conjecture,(
% 0.13/0.40 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ilf_type(cross_product(B,C),relation_type(B,C)) ) )) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f21,negated_conjecture,(
% 0.13/0.40 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ilf_type(cross_product(B,C),relation_type(B,C)) ) )) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f20])).
% 0.13/0.40 fof(f22,plain,(
% 0.13/0.40 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(~subset(B,cross_product(C,D))|ilf_type(B,relation_type(C,D))))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f23,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X0,cross_product(X1,X2))|ilf_type(X0,relation_type(X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.40 fof(f57,plain,(
% 0.13/0.40 ![B]: (~ilf_type(B,set_type)|subset(B,B))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f58,plain,(
% 0.13/0.40 ![X0]: (~ilf_type(X0,set_type)|subset(X0,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f57])).
% 0.13/0.40 fof(f95,plain,(
% 0.13/0.40 ![X0]: (ilf_type(X0,set_type))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.40 fof(f96,plain,(
% 0.13/0.40 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&~ilf_type(cross_product(B,C),relation_type(B,C))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.13/0.40 fof(f97,plain,(
% 0.13/0.40 (ilf_type(sK11_skl,set_type)&(ilf_type(sK12_skl,set_type)&~ilf_type(cross_product(sK11_skl,sK12_skl),relation_type(sK11_skl,sK12_skl))))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl]),skolemize(B,sK11_skl),skolemize(C,sK12_skl)],[f96])).
% 0.13/0.40 fof(f100,plain,(
% 0.13/0.40 ~ilf_type(cross_product(sK11_skl,sK12_skl),relation_type(sK11_skl,sK12_skl))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f97])).
% 0.13/0.40 fof(f102,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X2,cross_product(X0,X1))|ilf_type(X2,relation_type(X0,X1)))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f23,f95])).
% 0.13/0.40 fof(f105,plain,(
% 0.13/0.40 ![X0]: (subset(X0,X0))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f58,f95])).
% 0.13/0.40 fof(f106,plain,(
% 0.13/0.40 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|ilf_type(cross_product(X0,X1),relation_type(X0,X1)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f105,f102])).
% 0.13/0.40 fof(f107,plain,(
% 0.13/0.40 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(cross_product(X1,X0),relation_type(X1,X0)))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f106,f95])).
% 0.13/0.40 fof(f121,plain,(
% 0.13/0.40 ![X0,X1]: (ilf_type(cross_product(X0,X1),relation_type(X0,X1)))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f107,f95])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f100,f121])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.061326 seconds
% 0.13/0.43 % CPU time: 0.170023 seconds
% 0.13/0.43 % Total memory used: 81.757 MB
% 0.13/0.43 % Net memory used: 81.600 MB
%------------------------------------------------------------------------------