%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU148+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 : n003.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 02:21:48 PM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU148+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
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:54:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f7,axiom,(
% 0.14/0.38 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f31,lemma,(
% 0.14/0.38 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f66,conjecture,(
% 0.14/0.38 (! [A,B] :( subset(singleton(A),singleton(B))=> A = B ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f67,negated_conjecture,(
% 0.14/0.38 ~((! [A,B] :( subset(singleton(A),singleton(B))=> A = B ) ))),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f66])).
% 0.14/0.38 fof(f85,plain,(
% 0.14/0.38 ![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)))))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f7])).
% 0.14/0.38 fof(f86,plain,(
% 0.14/0.38 (![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)))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f85])).
% 0.14/0.38 fof(f87,plain,(
% 0.14/0.38 (![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))))),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f86])).
% 0.14/0.38 fof(f88,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f87])).
% 0.14/0.38 fof(f170,plain,(
% 0.14/0.38 ![A,B]: ((~subset(singleton(A),B)|in(A,B))&(subset(singleton(A),B)|~in(A,B)))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f31])).
% 0.14/0.38 fof(f171,plain,(
% 0.14/0.38 (![A,B]: (~subset(singleton(A),B)|in(A,B)))&(![A,B]: (subset(singleton(A),B)|~in(A,B)))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f170])).
% 0.14/0.38 fof(f172,plain,(
% 0.14/0.38 ![X0,X1]: (~subset(singleton(X0),X1)|in(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f171])).
% 0.14/0.38 fof(f252,plain,(
% 0.14/0.38 (?[A,B]: (subset(singleton(A),singleton(B))&~A=B))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.14/0.38 fof(f253,plain,(
% 0.14/0.38 (subset(singleton(sK13_skl),singleton(sK14_skl))&~sK13_skl=sK14_skl)),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl]),skolemize(A,sK13_skl),skolemize(B,sK14_skl)],[f252])).
% 0.14/0.38 fof(f254,plain,(
% 0.14/0.38 subset(singleton(sK13_skl),singleton(sK14_skl))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f253])).
% 0.14/0.38 fof(f255,plain,(
% 0.14/0.38 ~sK13_skl=sK14_skl),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f253])).
% 0.14/0.38 fof(f271,plain,(
% 0.14/0.38 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 0.14/0.38 inference(destructive_equality_resolution,[status(thm)],[f88])).
% 0.14/0.38 fof(f341,plain,(
% 0.14/0.38 in(sK13_skl,singleton(sK14_skl))),
% 0.14/0.38 inference(resolution,[status(thm)],[f254,f172])).
% 0.14/0.38 fof(f344,plain,(
% 0.14/0.38 sK13_skl=sK14_skl),
% 0.14/0.38 inference(resolution,[status(thm)],[f341,f271])).
% 0.14/0.38 fof(f348,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f344,f255])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.040658 seconds
% 0.14/0.41 % CPU time: 0.094342 seconds
% 0.14/0.41 % Total memory used: 16.504 MB
% 0.14/0.41 % Net memory used: 16.490 MB
%------------------------------------------------------------------------------