%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET876+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 : n026.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 02:12:48 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET876+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.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 05:45:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (! [A,B] :( ~ in(A,B)=> disjoint(singleton(A),B) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,conjecture,(
% 0.13/0.39 (! [A,B] :( A != B=> disjoint(singleton(A),singleton(B)) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,negated_conjecture,(
% 0.13/0.39 ~((! [A,B] :( A != B=> disjoint(singleton(A),singleton(B)) ) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f7])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 ![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)))))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 (![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)))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f11])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 (![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))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f12])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 ![A,B]: (in(A,B)|disjoint(singleton(A),B))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 ![X0,X1]: (in(X0,X1)|disjoint(singleton(X0),X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 (?[A,B]: (~A=B&~disjoint(singleton(A),singleton(B))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 (~sK3_skl=sK4_skl&~disjoint(singleton(sK3_skl),singleton(sK4_skl)))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl)],[f26])).
% 0.13/0.39 fof(f28,plain,(
% 0.13/0.39 ~sK3_skl=sK4_skl),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.39 fof(f29,plain,(
% 0.13/0.39 ~disjoint(singleton(sK3_skl),singleton(sK4_skl))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f14])).
% 0.13/0.39 fof(f33,plain,(
% 0.13/0.39 in(sK3_skl,singleton(sK4_skl))),
% 0.13/0.39 inference(resolution,[status(thm)],[f19,f29])).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 sK3_skl=sK4_skl),
% 0.13/0.39 inference(resolution,[status(thm)],[f33,f30])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f35,f28])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.049044 seconds
% 0.13/0.41 % CPU time: 0.134530 seconds
% 0.13/0.41 % Total memory used: 69.848 MB
% 0.13/0.41 % Net memory used: 69.420 MB
%------------------------------------------------------------------------------