%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET875+1 : 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 : n020.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 02:12:47 PM UTC 2026
% Result : Theorem 0.20s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET875+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n020.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 05:43:32 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.49 % Drodi V4.1.1
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.50 fof(f2,axiom,(
% 0.20/0.50 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f3,axiom,(
% 0.20/0.50 (! [A,B] :~ ( disjoint(singleton(A),B)& in(A,B) ) )),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f7,conjecture,(
% 0.20/0.50 (! [A,B] :~ ( disjoint(singleton(A),singleton(B))& A = B ) )),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f8,negated_conjecture,(
% 0.20/0.50 ~((! [A,B] :~ ( disjoint(singleton(A),singleton(B))& A = B ) ))),
% 0.20/0.50 inference(negated_conjecture,[status(cth)],[f7])).
% 0.20/0.50 fof(f11,plain,(
% 0.20/0.50 ![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)))))),
% 0.20/0.50 inference(NNF_transformation,[status(thm)],[f2])).
% 0.20/0.50 fof(f12,plain,(
% 0.20/0.50 (![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)))))),
% 0.20/0.50 inference(miniscoping,[status(thm)],[f11])).
% 0.20/0.50 fof(f13,plain,(
% 0.20/0.50 (![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))))),
% 0.20/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f12])).
% 0.20/0.50 fof(f15,plain,(
% 0.20/0.50 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f13])).
% 0.20/0.50 fof(f18,plain,(
% 0.20/0.50 ![A,B]: (~disjoint(singleton(A),B)|~in(A,B))),
% 0.20/0.50 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.20/0.50 fof(f19,plain,(
% 0.20/0.50 ![X0,X1]: (~disjoint(singleton(X0),X1)|~in(X0,X1))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f18])).
% 0.20/0.50 fof(f26,plain,(
% 0.20/0.50 (?[A,B]: (disjoint(singleton(A),singleton(B))&A=B))),
% 0.20/0.50 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.20/0.50 fof(f27,plain,(
% 0.20/0.50 (disjoint(singleton(sK3_skl),singleton(sK4_skl))&sK3_skl=sK4_skl)),
% 0.20/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl)],[f26])).
% 0.20/0.50 fof(f28,plain,(
% 0.20/0.50 disjoint(singleton(sK3_skl),singleton(sK4_skl))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f27])).
% 0.20/0.50 fof(f29,plain,(
% 0.20/0.50 sK3_skl=sK4_skl),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f27])).
% 0.20/0.50 fof(f31,plain,(
% 0.20/0.50 ![X0]: (in(X0,singleton(X0)))),
% 0.20/0.50 inference(destructive_equality_resolution,[status(thm)],[f15])).
% 0.20/0.50 fof(f32,plain,(
% 0.20/0.50 disjoint(singleton(sK4_skl),singleton(sK4_skl))),
% 0.20/0.50 inference(forward_demodulation,[status(thm)],[f29,f28])).
% 0.20/0.50 fof(f35,plain,(
% 0.20/0.50 ~in(sK4_skl,singleton(sK4_skl))),
% 0.20/0.50 inference(resolution,[status(thm)],[f19,f32])).
% 0.20/0.50 fof(f36,plain,(
% 0.20/0.50 $false),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f35,f31])).
% 0.20/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.56 % Elapsed time: 0.089468 seconds
% 0.20/0.56 % CPU time: 0.100450 seconds
% 0.20/0.56 % Total memory used: 3.163 MB
% 0.20/0.56 % Net memory used: 3.158 MB
%------------------------------------------------------------------------------