%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET764+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:12:34 PM UTC 2026
% Result : Theorem 0.22s 5.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET764+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.49 % Computer : n018.cluster.edu
% 0.17/5.49 % Model : x86_64 x86_64
% 0.17/5.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.49 % Memory : 8046.5625MB
% 0.17/5.49 % OS : Linux 6.8.0-71-generic
% 0.17/5.49 % CPULimit : 300
% 0.17/5.49 % WCLimit : 300
% 0.17/5.49 % DateTime : Mon Sep 21 05:38:35 UTC 2026
% 0.17/5.49 % CPUTime :
% 0.22/5.51 % Drodi V4.1.1
% 0.22/5.61 % Refutation found
% 0.22/5.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/5.61 % SZS output start CNFRefutation for theBenchmark
% 0.22/5.61 fof(f1,axiom,(
% 0.22/5.61 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.22/5.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.61 fof(f2,axiom,(
% 0.22/5.61 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.22/5.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.61 fof(f6,axiom,(
% 0.22/5.61 (! [X] : ~ member(X,empty_set) )),
% 0.22/5.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.61 fof(f24,axiom,(
% 0.22/5.61 (! [F,B,X] :( member(X,inverse_image2(F,B))<=> (? [Y] :( member(Y,B)& apply(F,X,Y) ) )) )),
% 0.22/5.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.61 fof(f29,conjecture,(
% 0.22/5.61 (! [F,A,B] :( maps(F,A,B)=> equal_set(inverse_image2(F,empty_set),empty_set) ) )),
% 0.22/5.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/5.61 fof(f30,negated_conjecture,(
% 0.22/5.61 ~((! [F,A,B] :( maps(F,A,B)=> equal_set(inverse_image2(F,empty_set),empty_set) ) ))),
% 0.22/5.61 inference(negated_conjecture,[status(cth)],[f29])).
% 0.22/5.61 fof(f31,plain,(
% 0.22/5.61 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.22/5.61 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.22/5.61 fof(f32,plain,(
% 0.22/5.61 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.22/5.61 inference(NNF_transformation,[status(thm)],[f31])).
% 0.22/5.61 fof(f33,plain,(
% 0.22/5.61 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.22/5.61 inference(miniscoping,[status(thm)],[f32])).
% 0.22/5.61 fof(f34,plain,(
% 0.22/5.61 (![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))))),
% 0.22/5.61 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f33])).
% 0.22/5.61 fof(f36,plain,(
% 0.22/5.61 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.22/5.61 inference(cnf_transformation,[status(thm)],[f34])).
% 0.22/5.61 fof(f38,plain,(
% 0.22/5.61 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.22/5.61 inference(NNF_transformation,[status(thm)],[f2])).
% 0.22/5.61 fof(f39,plain,(
% 0.22/5.61 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.22/5.61 inference(miniscoping,[status(thm)],[f38])).
% 0.22/5.61 fof(f42,plain,(
% 0.22/5.61 ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~subset(X1,X0))),
% 0.22/5.61 inference(cnf_transformation,[status(thm)],[f39])).
% 0.22/5.61 fof(f57,plain,(
% 0.22/5.61 ![X0]: (~member(X0,empty_set))),
% 0.22/5.61 inference(cnf_transformation,[status(thm)],[f6])).
% 0.22/5.61 fof(f189,plain,(
% 0.22/5.61 ![F,B,X]: ((~member(X,inverse_image2(F,B))|(?[Y]: (member(Y,B)&apply(F,X,Y))))&(member(X,inverse_image2(F,B))|(![Y]: (~member(Y,B)|~apply(F,X,Y)))))),
% 0.22/5.61 inference(NNF_transformation,[status(thm)],[f24])).
% 0.22/5.61 fof(f190,plain,(
% 0.22/5.61 (![F,B,X]: (~member(X,inverse_image2(F,B))|(?[Y]: (member(Y,B)&apply(F,X,Y)))))&(![F,B,X]: (member(X,inverse_image2(F,B))|(![Y]: (~member(Y,B)|~apply(F,X,Y)))))),
% 0.22/5.61 inference(miniscoping,[status(thm)],[f189])).
% 0.22/5.61 fof(f191,plain,(
% 0.22/5.61 (![F,B,X]: (~member(X,inverse_image2(F,B))|(member(sK25_skl(X,B,F),B)&apply(F,X,sK25_skl(X,B,F)))))&(![F,B,X]: (member(X,inverse_image2(F,B))|(![Y]: (~member(Y,B)|~apply(F,X,Y)))))),
% 0.22/5.61 inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl]),skolemize(Y,sK25_skl(X,B,F))],[f190])).
% 0.22/5.61 fof(f192,plain,(
% 0.22/5.61 ![X0,X1,X2]: (~member(X0,inverse_image2(X1,X2))|member(sK25_skl(X0,X2,X1),X2))),
% 0.22/5.61 inference(cnf_transformation,[status(thm)],[f191])).
% 0.22/5.61 fof(f244,plain,(
% 0.22/5.61 (?[F,A,B]: (maps(F,A,B)&~equal_set(inverse_image2(F,empty_set),empty_set)))),
% 0.22/5.61 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.22/5.61 fof(f245,plain,(
% 0.22/5.61 ?[F]: ((?[A,B]: maps(F,A,B))&~equal_set(inverse_image2(F,empty_set),empty_set))),
% 0.22/5.61 inference(miniscoping,[status(thm)],[f244])).
% 0.22/5.61 fof(f246,plain,(
% 0.22/5.61 (maps(sK39_skl,sK40_skl,sK41_skl)&~equal_set(inverse_image2(sK39_skl,empty_set),empty_set))),
% 0.22/5.61 inference(skolemize,[status(esa),new_symbols(skolem,[sK39_skl,sK40_skl,sK41_skl]),skolemize(F,sK39_skl),skolemize(A,sK40_skl),skolemize(B,sK41_skl)],[f245])).
% 0.22/5.61 fof(f248,plain,(
% 0.22/5.61 ~equal_set(inverse_image2(sK39_skl,empty_set),empty_set)),
% 0.22/5.61 inference(cnf_transformation,[status(thm)],[f246])).
% 0.22/5.62 fof(f265,plain,(
% 0.22/5.62 ![X0]: (subset(empty_set,X0))),
% 0.22/5.62 inference(resolution,[status(thm)],[f36,f57])).
% 0.22/5.62 fof(f266,plain,(
% 0.22/5.62 ![X0]: (equal_set(X0,empty_set)|~subset(X0,empty_set))),
% 0.22/5.62 inference(resolution,[status(thm)],[f265,f42])).
% 0.22/5.62 fof(f289,plain,(
% 0.22/5.62 ![X0,X1]: (~member(X0,inverse_image2(X1,empty_set)))),
% 0.22/5.62 inference(resolution,[status(thm)],[f192,f57])).
% 0.22/5.62 fof(f293,plain,(
% 0.22/5.62 ![X0,X1]: (subset(inverse_image2(X0,empty_set),X1))),
% 0.22/5.62 inference(resolution,[status(thm)],[f289,f36])).
% 0.22/5.62 fof(f298,plain,(
% 0.22/5.62 ![X0]: (equal_set(inverse_image2(X0,empty_set),empty_set))),
% 0.22/5.62 inference(resolution,[status(thm)],[f293,f266])).
% 0.22/5.62 fof(f301,plain,(
% 0.22/5.62 $false),
% 0.22/5.62 inference(backward_subsumption_resolution,[status(thm)],[f248,f298])).
% 0.22/5.62 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/5.66 % Elapsed time: 0.156240 seconds
% 0.22/5.66 % CPU time: 0.649286 seconds
% 0.22/5.66 % Total memory used: 68.996 MB
% 0.22/5.66 % Net memory used: 68.315 MB
%------------------------------------------------------------------------------