%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU162+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:21:51 PM UTC 2026
% Result : Theorem 0.03s 0.33s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU162+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 05:53:51 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.33 % Refutation found
% 0.03/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.33 fof(f2,axiom,(
% 0.03/0.33 (! [A,B] :~ ( disjoint(singleton(A),B)& in(A,B) ) )),
% 0.03/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.33 fof(f3,axiom,(
% 0.03/0.33 (! [A,B] :( ~ in(A,B)=> disjoint(singleton(A),B) ) )),
% 0.03/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.33 fof(f6,axiom,(
% 0.03/0.33 (! [A,B] :( disjoint(A,B)=> disjoint(B,A) ) )),
% 0.03/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.33 fof(f7,conjecture,(
% 0.03/0.33 (! [A,B] :( set_difference(A,singleton(B)) = A<=> ~ in(B,A) ) )),
% 0.03/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.33 fof(f8,negated_conjecture,(
% 0.03/0.33 ~((! [A,B] :( set_difference(A,singleton(B)) = A<=> ~ in(B,A) ) ))),
% 0.03/0.33 inference(negated_conjecture,[status(cth)],[f7])).
% 0.03/0.33 fof(f9,axiom,(
% 0.03/0.33 (! [A,B] :( disjoint(A,B)<=> set_difference(A,B) = A ) )),
% 0.03/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.33 fof(f12,plain,(
% 0.03/0.33 ![A,B]: (~disjoint(singleton(A),B)|~in(A,B))),
% 0.07/0.33 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.07/0.33 fof(f13,plain,(
% 0.07/0.33 ![X0,X1]: (~disjoint(singleton(X0),X1)|~in(X0,X1))),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f12])).
% 0.07/0.33 fof(f14,plain,(
% 0.07/0.33 ![A,B]: (in(A,B)|disjoint(singleton(A),B))),
% 0.07/0.33 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.07/0.33 fof(f15,plain,(
% 0.07/0.33 ![X0,X1]: (in(X0,X1)|disjoint(singleton(X0),X1))),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f14])).
% 0.07/0.33 fof(f20,plain,(
% 0.07/0.33 ![A,B]: (~disjoint(A,B)|disjoint(B,A))),
% 0.07/0.33 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.07/0.33 fof(f21,plain,(
% 0.07/0.33 ![X0,X1]: (~disjoint(X0,X1)|disjoint(X1,X0))),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f20])).
% 0.07/0.33 fof(f22,plain,(
% 0.07/0.33 (?[A,B]: (set_difference(A,singleton(B))=A<~>~in(B,A)))),
% 0.07/0.33 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.07/0.33 fof(f23,plain,(
% 0.07/0.33 ?[A,B]: ((set_difference(A,singleton(B))=A|~in(B,A))&(~set_difference(A,singleton(B))=A|in(B,A)))),
% 0.07/0.33 inference(NNF_transformation,[status(thm)],[f22])).
% 0.07/0.33 fof(f24,plain,(
% 0.07/0.33 ((set_difference(sK2_skl,singleton(sK3_skl))=sK2_skl|~in(sK3_skl,sK2_skl))&(~set_difference(sK2_skl,singleton(sK3_skl))=sK2_skl|in(sK3_skl,sK2_skl)))),
% 0.07/0.33 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f23])).
% 0.07/0.33 fof(f25,plain,(
% 0.07/0.33 set_difference(sK2_skl,singleton(sK3_skl))=sK2_skl|~in(sK3_skl,sK2_skl)),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f24])).
% 0.07/0.33 fof(f26,plain,(
% 0.07/0.33 ~set_difference(sK2_skl,singleton(sK3_skl))=sK2_skl|in(sK3_skl,sK2_skl)),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f24])).
% 0.07/0.33 fof(f27,plain,(
% 0.07/0.33 ![A,B]: ((~disjoint(A,B)|set_difference(A,B)=A)&(disjoint(A,B)|~set_difference(A,B)=A))),
% 0.07/0.33 inference(NNF_transformation,[status(thm)],[f9])).
% 0.07/0.33 fof(f28,plain,(
% 0.07/0.33 (![A,B]: (~disjoint(A,B)|set_difference(A,B)=A))&(![A,B]: (disjoint(A,B)|~set_difference(A,B)=A))),
% 0.07/0.33 inference(miniscoping,[status(thm)],[f27])).
% 0.07/0.33 fof(f29,plain,(
% 0.07/0.33 ![X0,X1]: (~disjoint(X0,X1)|set_difference(X0,X1)=X0)),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f28])).
% 0.07/0.33 fof(f30,plain,(
% 0.07/0.33 ![X0,X1]: (disjoint(X0,X1)|~set_difference(X0,X1)=X0)),
% 0.07/0.33 inference(cnf_transformation,[status(thm)],[f28])).
% 0.07/0.33 fof(f38,plain,(
% 0.07/0.33 ![X0,X1]: (disjoint(X0,singleton(X1))|in(X1,X0))),
% 0.07/0.33 inference(resolution,[status(thm)],[f21,f15])).
% 0.07/0.33 fof(f41,plain,(
% 0.07/0.33 ![X0,X1]: (in(X0,X1)|set_difference(X1,singleton(X0))=X1)),
% 0.07/0.33 inference(resolution,[status(thm)],[f38,f29])).
% 0.07/0.33 fof(f44,plain,(
% 0.07/0.33 set_difference(sK2_skl,singleton(sK3_skl))=sK2_skl),
% 0.07/0.33 inference(backward_subsumption_resolution,[status(thm)],[f25,f41])).
% 0.07/0.33 fof(f45,plain,(
% 0.07/0.33 in(sK3_skl,sK2_skl)),
% 0.07/0.33 inference(backward_subsumption_resolution,[status(thm)],[f26,f41])).
% 0.07/0.33 fof(f50,plain,(
% 0.07/0.33 disjoint(sK2_skl,singleton(sK3_skl))),
% 0.07/0.33 inference(resolution,[status(thm)],[f44,f30])).
% 0.07/0.33 fof(f57,plain,(
% 0.07/0.33 disjoint(singleton(sK3_skl),sK2_skl)),
% 0.07/0.33 inference(resolution,[status(thm)],[f50,f21])).
% 0.07/0.33 fof(f59,plain,(
% 0.07/0.33 ~in(sK3_skl,sK2_skl)),
% 0.07/0.33 inference(resolution,[status(thm)],[f57,f13])).
% 0.07/0.33 fof(f62,plain,(
% 0.07/0.33 $false),
% 0.07/0.33 inference(forward_subsumption_resolution,[status(thm)],[f59,f45])).
% 0.07/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.34 % Elapsed time: 0.045413 seconds
% 0.07/0.34 % CPU time: 0.080437 seconds
% 0.07/0.34 % Total memory used: 79.894 MB
% 0.07/0.34 % Net memory used: 79.398 MB
%------------------------------------------------------------------------------