%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU153+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 : n011.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 0.02s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU153+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
% 0.09/0.35 % Computer : n011.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 05:53:25 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.39 % Refutation found
% 0.02/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.39 fof(f7,axiom,(
% 0.02/0.39 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f32,conjecture,(
% 0.02/0.39 (! [A,B] :~ ( disjoint(singleton(A),B)& in(A,B) ) )),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f33,negated_conjecture,(
% 0.02/0.39 ~((! [A,B] :~ ( disjoint(singleton(A),B)& in(A,B) ) ))),
% 0.02/0.39 inference(negated_conjecture,[status(cth)],[f32])).
% 0.02/0.39 fof(f59,lemma,(
% 0.02/0.39 (! [A,B] :( ~ ( ~ disjoint(A,B)& (! [C] :~ ( in(C,A)& in(C,B) ) ))& ~ ( (? [C] :( in(C,A)& in(C,B) ))& disjoint(A,B) ) ) )),
% 0.02/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.39 fof(f90,plain,(
% 0.02/0.39 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.02/0.39 inference(NNF_transformation,[status(thm)],[f7])).
% 0.02/0.39 fof(f91,plain,(
% 0.02/0.39 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.02/0.39 inference(miniscoping,[status(thm)],[f90])).
% 0.02/0.39 fof(f92,plain,(
% 0.02/0.39 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sK0_skl(B,A),B)|~sK0_skl(B,A)=A)&(in(sK0_skl(B,A),B)|sK0_skl(B,A)=A))))),
% 0.02/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f91])).
% 0.02/0.39 fof(f94,plain,(
% 0.02/0.39 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f92])).
% 0.02/0.39 fof(f177,plain,(
% 0.02/0.39 (?[A,B]: (disjoint(singleton(A),B)&in(A,B)))),
% 0.02/0.39 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.02/0.39 fof(f178,plain,(
% 0.02/0.39 (disjoint(singleton(sK8_skl),sK9_skl)&in(sK8_skl,sK9_skl))),
% 0.02/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(A,sK8_skl),skolemize(B,sK9_skl)],[f177])).
% 0.02/0.39 fof(f179,plain,(
% 0.02/0.39 disjoint(singleton(sK8_skl),sK9_skl)),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f178])).
% 0.02/0.39 fof(f180,plain,(
% 0.02/0.39 in(sK8_skl,sK9_skl)),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f178])).
% 0.02/0.39 fof(f240,plain,(
% 0.02/0.39 ![A,B]: ((disjoint(A,B)|(?[C]: (in(C,A)&in(C,B))))&((![C]: (~in(C,A)|~in(C,B)))|~disjoint(A,B)))),
% 0.02/0.39 inference(pre_NNF_transformation,[status(thm)],[f59])).
% 0.02/0.39 fof(f241,plain,(
% 0.02/0.39 (![A,B]: (disjoint(A,B)|(?[C]: (in(C,A)&in(C,B)))))&(![A,B]: ((![C]: (~in(C,A)|~in(C,B)))|~disjoint(A,B)))),
% 0.02/0.39 inference(miniscoping,[status(thm)],[f240])).
% 0.02/0.39 fof(f242,plain,(
% 0.02/0.39 (![A,B]: (disjoint(A,B)|(in(sK13_skl(B,A),A)&in(sK13_skl(B,A),B))))&(![A,B]: ((![C]: (~in(C,A)|~in(C,B)))|~disjoint(A,B)))),
% 0.02/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(C,sK13_skl(B,A))],[f241])).
% 0.02/0.39 fof(f245,plain,(
% 0.02/0.39 ![X0,X1,X2]: (~in(X0,X1)|~in(X0,X2)|~disjoint(X1,X2))),
% 0.02/0.39 inference(cnf_transformation,[status(thm)],[f242])).
% 0.02/0.39 fof(f290,plain,(
% 0.02/0.39 ![X0]: (in(X0,singleton(X0)))),
% 0.02/0.39 inference(destructive_equality_resolution,[status(thm)],[f94])).
% 0.02/0.39 fof(f431,plain,(
% 0.02/0.39 ![X0]: (~in(sK8_skl,X0)|~disjoint(X0,sK9_skl))),
% 0.02/0.39 inference(resolution,[status(thm)],[f245,f180])).
% 0.02/0.39 fof(f632,plain,(
% 0.02/0.39 ~disjoint(singleton(sK8_skl),sK9_skl)),
% 0.02/0.39 inference(resolution,[status(thm)],[f431,f290])).
% 0.02/0.39 fof(f633,plain,(
% 0.02/0.39 $false),
% 0.02/0.39 inference(forward_subsumption_resolution,[status(thm)],[f632,f179])).
% 0.02/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.42 % Elapsed time: 0.056839 seconds
% 0.02/0.42 % CPU time: 0.158013 seconds
% 0.02/0.42 % Total memory used: 105.652 MB
% 0.02/0.42 % Net memory used: 105.563 MB
%------------------------------------------------------------------------------