%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU154+2 : TPTP v9.3.1. Released v3.3.0.
% 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 02:21:49 PM UTC 2026
% Result : Theorem 0.15s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU154+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:48:41 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.15/0.45 % Refutation found
% 0.15/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.45 fof(f6,axiom,(
% 0.15/0.45 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f33,conjecture,(
% 0.15/0.45 (! [A,B] :( ~ in(A,B)=> disjoint(singleton(A),B) ) )),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f34,negated_conjecture,(
% 0.15/0.45 ~((! [A,B] :( ~ in(A,B)=> disjoint(singleton(A),B) ) ))),
% 0.15/0.45 inference(negated_conjecture,[status(cth)],[f33])).
% 0.15/0.45 fof(f37,lemma,(
% 0.15/0.45 (! [A,B,C] :( subset(A,B)=> ( in(C,A)| subset(A,set_difference(B,singleton(C))) ) ) )),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f42,axiom,(
% 0.15/0.45 (! [A,B] :( disjoint(A,B)=> disjoint(B,A) ) )),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f56,lemma,(
% 0.15/0.45 (! [A,B] : subset(set_difference(A,B),A) )),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f74,lemma,(
% 0.15/0.45 (! [A,B] :( disjoint(A,B)<=> set_difference(A,B) = A ) )),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f86,plain,(
% 0.15/0.45 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.15/0.45 inference(NNF_transformation,[status(thm)],[f6])).
% 0.15/0.45 fof(f87,plain,(
% 0.15/0.45 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.15/0.45 inference(miniscoping,[status(thm)],[f86])).
% 0.15/0.45 fof(f88,plain,(
% 0.15/0.45 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f87])).
% 0.15/0.45 fof(f90,plain,(
% 0.15/0.45 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f87])).
% 0.15/0.45 fof(f180,plain,(
% 0.15/0.45 (?[A,B]: (~in(A,B)&~disjoint(singleton(A),B)))),
% 0.15/0.45 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.15/0.45 fof(f181,plain,(
% 0.15/0.45 (~in(sK8_skl,sK9_skl)&~disjoint(singleton(sK8_skl),sK9_skl))),
% 0.15/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(A,sK8_skl),skolemize(B,sK9_skl)],[f180])).
% 0.15/0.45 fof(f182,plain,(
% 0.15/0.45 ~in(sK8_skl,sK9_skl)),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f181])).
% 0.15/0.45 fof(f183,plain,(
% 0.15/0.45 ~disjoint(singleton(sK8_skl),sK9_skl)),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f181])).
% 0.15/0.45 fof(f192,plain,(
% 0.15/0.45 ![A,B,C]: (~subset(A,B)|(in(C,A)|subset(A,set_difference(B,singleton(C)))))),
% 0.15/0.45 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.15/0.45 fof(f193,plain,(
% 0.15/0.45 ![A,B]: (~subset(A,B)|(![C]: (in(C,A)|subset(A,set_difference(B,singleton(C))))))),
% 0.15/0.45 inference(miniscoping,[status(thm)],[f192])).
% 0.15/0.45 fof(f194,plain,(
% 0.15/0.45 ![X0,X1,X2]: (~subset(X0,X1)|in(X2,X0)|subset(X0,set_difference(X1,singleton(X2))))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f193])).
% 0.15/0.45 fof(f206,plain,(
% 0.15/0.45 ![A,B]: (~disjoint(A,B)|disjoint(B,A))),
% 0.15/0.45 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.15/0.45 fof(f207,plain,(
% 0.15/0.45 ![X0,X1]: (~disjoint(X0,X1)|disjoint(X1,X0))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f206])).
% 0.15/0.45 fof(f236,plain,(
% 0.15/0.45 ![X0,X1]: (subset(set_difference(X0,X1),X0))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f56])).
% 0.15/0.45 fof(f275,plain,(
% 0.15/0.45 ![A,B]: ((~disjoint(A,B)|set_difference(A,B)=A)&(disjoint(A,B)|~set_difference(A,B)=A))),
% 0.15/0.45 inference(NNF_transformation,[status(thm)],[f74])).
% 0.15/0.45 fof(f276,plain,(
% 0.15/0.45 (![A,B]: (~disjoint(A,B)|set_difference(A,B)=A))&(![A,B]: (disjoint(A,B)|~set_difference(A,B)=A))),
% 0.15/0.45 inference(miniscoping,[status(thm)],[f275])).
% 0.15/0.45 fof(f278,plain,(
% 0.15/0.45 ![X0,X1]: (disjoint(X0,X1)|~set_difference(X0,X1)=X0)),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f276])).
% 0.15/0.45 fof(f290,plain,(
% 0.15/0.45 ![X0]: (subset(X0,X0))),
% 0.15/0.45 inference(destructive_equality_resolution,[status(thm)],[f88])).
% 0.15/0.45 fof(f326,plain,(
% 0.15/0.45 ![X0,X1]: (~set_difference(X0,X1)=X0|disjoint(X1,X0))),
% 0.15/0.45 inference(resolution,[status(thm)],[f278,f207])).
% 0.15/0.45 fof(f328,plain,(
% 0.15/0.45 ~set_difference(sK9_skl,singleton(sK8_skl))=sK9_skl),
% 0.15/0.45 inference(resolution,[status(thm)],[f326,f183])).
% 0.15/0.45 fof(f360,plain,(
% 0.15/0.45 ![X0,X1,X2]: (set_difference(X0,singleton(X1))=X2|~subset(set_difference(X0,singleton(X1)),X2)|~subset(X2,X0)|in(X1,X2))),
% 0.15/0.45 inference(resolution,[status(thm)],[f90,f194])).
% 0.15/0.45 fof(f544,plain,(
% 0.15/0.45 ![X0,X1]: (set_difference(X0,singleton(X1))=X0|~subset(X0,X0)|in(X1,X0))),
% 0.15/0.47 inference(resolution,[status(thm)],[f360,f236])).
% 0.15/0.47 fof(f549,plain,(
% 0.15/0.47 ![X0,X1]: (set_difference(X0,singleton(X1))=X0|in(X1,X0))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f544,f290])).
% 0.15/0.47 fof(f902,plain,(
% 0.15/0.47 set_difference(sK9_skl,singleton(sK8_skl))=sK9_skl),
% 0.15/0.47 inference(resolution,[status(thm)],[f549,f182])).
% 0.15/0.47 fof(f919,plain,(
% 0.15/0.47 $false),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f902,f328])).
% 0.15/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.47 % Elapsed time: 0.101043 seconds
% 0.15/0.47 % CPU time: 0.481092 seconds
% 0.15/0.47 % Total memory used: 111.808 MB
% 0.15/0.47 % Net memory used: 110.886 MB
%------------------------------------------------------------------------------