%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET751+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 02:12:33 PM UTC 2026
% Result : Theorem 232.05s 29.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET751+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n017.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 05:31:28 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 232.05/29.79 % Refutation found
% 232.05/29.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 232.05/29.79 % SZS output start CNFRefutation for theBenchmark
% 232.05/29.79 fof(f1,axiom,(
% 232.05/29.79 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 232.05/29.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 232.05/29.79 fof(f22,axiom,(
% 232.05/29.79 (! [F,A,Y] :( member(Y,image2(F,A))<=> (? [X] :( member(X,A)& apply(F,X,Y) ) )) )),
% 232.05/29.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 232.05/29.79 fof(f29,conjecture,(
% 232.05/29.79 (! [F,A,B,X,Y] :( ( maps(F,A,B)& subset(X,A)& subset(Y,A)& subset(X,Y) )=> subset(image2(F,X),image2(F,Y)) ) )),
% 232.05/29.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 232.05/29.79 fof(f30,negated_conjecture,(
% 232.05/29.79 ~((! [F,A,B,X,Y] :( ( maps(F,A,B)& subset(X,A)& subset(Y,A)& subset(X,Y) )=> subset(image2(F,X),image2(F,Y)) ) ))),
% 232.05/29.79 inference(negated_conjecture,[status(cth)],[f29])).
% 232.05/29.79 fof(f31,plain,(
% 232.05/29.79 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 232.05/29.79 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 232.05/29.79 fof(f32,plain,(
% 232.05/29.79 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 232.05/29.79 inference(NNF_transformation,[status(thm)],[f31])).
% 232.05/29.79 fof(f33,plain,(
% 232.05/29.79 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 232.05/29.79 inference(miniscoping,[status(thm)],[f32])).
% 232.05/29.79 fof(f34,plain,(
% 232.05/29.79 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(member(sK0_skl(B,A),A)&~member(sK0_skl(B,A),B))))),
% 232.05/29.79 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f33])).
% 232.05/29.79 fof(f35,plain,(
% 232.05/29.79 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 232.05/29.79 inference(cnf_transformation,[status(thm)],[f34])).
% 232.05/29.79 fof(f36,plain,(
% 232.05/29.79 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 232.05/29.79 inference(cnf_transformation,[status(thm)],[f34])).
% 232.05/29.79 fof(f37,plain,(
% 232.05/29.79 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 232.05/29.79 inference(cnf_transformation,[status(thm)],[f34])).
% 232.05/29.79 fof(f176,plain,(
% 232.05/29.79 ![F,A,Y]: ((~member(Y,image2(F,A))|(?[X]: (member(X,A)&apply(F,X,Y))))&(member(Y,image2(F,A))|(![X]: (~member(X,A)|~apply(F,X,Y)))))),
% 232.05/29.79 inference(NNF_transformation,[status(thm)],[f22])).
% 232.05/29.79 fof(f177,plain,(
% 232.05/29.79 (![F,A,Y]: (~member(Y,image2(F,A))|(?[X]: (member(X,A)&apply(F,X,Y)))))&(![F,A,Y]: (member(Y,image2(F,A))|(![X]: (~member(X,A)|~apply(F,X,Y)))))),
% 232.05/29.79 inference(miniscoping,[status(thm)],[f176])).
% 232.05/29.79 fof(f178,plain,(
% 232.05/29.79 (![F,A,Y]: (~member(Y,image2(F,A))|(member(sK23_skl(Y,A,F),A)&apply(F,sK23_skl(Y,A,F),Y))))&(![F,A,Y]: (member(Y,image2(F,A))|(![X]: (~member(X,A)|~apply(F,X,Y)))))),
% 232.05/29.79 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(X,sK23_skl(Y,A,F))],[f177])).
% 232.05/29.79 fof(f179,plain,(
% 232.05/29.79 ![X0,X1,X2]: (~member(X0,image2(X1,X2))|member(sK23_skl(X0,X2,X1),X2))),
% 232.05/29.79 inference(cnf_transformation,[status(thm)],[f178])).
% 232.05/29.79 fof(f180,plain,(
% 232.05/29.79 ![X0,X1,X2]: (~member(X0,image2(X1,X2))|apply(X1,sK23_skl(X0,X2,X1),X0))),
% 232.05/29.79 inference(cnf_transformation,[status(thm)],[f178])).
% 232.05/29.79 fof(f181,plain,(
% 232.05/29.79 ![X0,X1,X2,X3]: (member(X0,image2(X1,X2))|~member(X3,X2)|~apply(X1,X3,X0))),
% 232.05/29.79 inference(cnf_transformation,[status(thm)],[f178])).
% 232.05/29.79 fof(f244,plain,(
% 232.05/29.79 (?[F,A,B,X,Y]: ((((maps(F,A,B)&subset(X,A))&subset(Y,A))&subset(X,Y))&~subset(image2(F,X),image2(F,Y))))),
% 232.05/29.79 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 232.05/29.79 fof(f245,plain,(
% 232.05/29.79 ?[F,X,Y]: (((?[A]: (((?[B]: maps(F,A,B))&subset(X,A))&subset(Y,A)))&subset(X,Y))&~subset(image2(F,X),image2(F,Y)))),
% 232.05/29.79 inference(miniscoping,[status(thm)],[f244])).
% 232.05/29.79 fof(f246,plain,(
% 232.05/29.79 ((((maps(sK39_skl,sK42_skl,sK43_skl)&subset(sK40_skl,sK42_skl))&subset(sK41_skl,sK42_skl))&subset(sK40_skl,sK41_skl))&~subset(image2(sK39_skl,sK40_skl),image2(sK39_skl,sK41_skl)))),
% 232.05/29.79 inference(skolemize,[status(esa),new_symbols(skolem,[sK39_skl,sK40_skl,sK41_skl,sK42_skl,sK43_skl]),skolemize(F,sK39_skl),skolemize(X,sK40_skl),skolemize(Y,sK41_skl),skolemize(A,sK42_skl),skolemize(B,sK43_skl)],[f245])).
% 232.05/29.79 fof(f250,plain,(
% 232.05/29.79 subset(sK40_skl,sK41_skl)),
% 232.05/29.79 inference(cnf_transformation,[status(thm)],[f246])).
% 232.05/29.79 fof(f251,plain,(
% 232.05/29.79 ~subset(image2(sK39_skl,sK40_skl),image2(sK39_skl,sK41_skl))),
% 232.81/29.85 inference(cnf_transformation,[status(thm)],[f246])).
% 232.81/29.85 fof(f269,plain,(
% 232.81/29.85 ![X0,X1,X2,X3]: (subset(X0,image2(X1,X2))|~member(X3,X2)|~apply(X1,X3,sK0_skl(image2(X1,X2),X0)))),
% 232.81/29.85 inference(resolution,[status(thm)],[f37,f181])).
% 232.81/29.85 fof(f10506,plain,(
% 232.81/29.85 ![X0,X1,X2,X3]: (~member(sK0_skl(image2(X0,X1),X2),image2(X0,X3))|subset(X2,image2(X0,X1))|~member(sK23_skl(sK0_skl(image2(X0,X1),X2),X3,X0),X1))),
% 232.81/29.85 inference(resolution,[status(thm)],[f180,f269])).
% 232.81/29.85 fof(f14510,plain,(
% 232.81/29.85 ![X0,X1,X2]: (subset(image2(X0,X1),image2(X0,X2))|~member(sK23_skl(sK0_skl(image2(X0,X2),image2(X0,X1)),X1,X0),X2)|subset(image2(X0,X1),image2(X0,X2)))),
% 232.81/29.85 inference(resolution,[status(thm)],[f10506,f36])).
% 232.81/29.85 fof(f14518,plain,(
% 232.81/29.85 ![X0,X1,X2]: (subset(image2(X0,X1),image2(X0,X2))|~member(sK23_skl(sK0_skl(image2(X0,X2),image2(X0,X1)),X1,X0),X2))),
% 232.81/29.85 inference(duplicate_literals_removal,[status(thm)],[f14510])).
% 232.81/29.85 fof(f14559,plain,(
% 232.81/29.85 ![X0,X1,X2,X3]: (subset(image2(X0,X1),image2(X0,X2))|~subset(X3,X2)|~member(sK23_skl(sK0_skl(image2(X0,X2),image2(X0,X1)),X1,X0),X3))),
% 232.81/29.85 inference(resolution,[status(thm)],[f14518,f35])).
% 232.81/29.85 fof(f19544,plain,(
% 232.81/29.85 ![X0,X1,X2]: (subset(image2(X0,X1),image2(X0,X2))|~subset(X1,X2)|~member(sK0_skl(image2(X0,X2),image2(X0,X1)),image2(X0,X1)))),
% 232.81/29.85 inference(resolution,[status(thm)],[f14559,f179])).
% 232.81/29.85 fof(f19589,plain,(
% 232.81/29.85 ![X0,X1,X2]: (subset(image2(X0,X1),image2(X0,X2))|~subset(X1,X2))),
% 232.81/29.85 inference(forward_subsumption_resolution,[status(thm)],[f19544,f36])).
% 232.81/29.85 fof(f19627,plain,(
% 232.81/29.85 ![X0]: (subset(image2(X0,sK40_skl),image2(X0,sK41_skl)))),
% 232.81/29.85 inference(resolution,[status(thm)],[f19589,f250])).
% 232.81/29.85 fof(f19717,plain,(
% 232.81/29.85 $false),
% 232.81/29.85 inference(backward_subsumption_resolution,[status(thm)],[f251,f19627])).
% 232.81/29.85 % SZS output end CNFRefutation for theBenchmark.p
% 81.30/29.96 % Elapsed time: 29.490535 seconds
% 81.30/29.96 % CPU time: 233.659961 seconds
% 81.30/29.96 % Total memory used: 1.083 GB
% 81.30/29.96 % Net memory used: 953.791 MB
%------------------------------------------------------------------------------