%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU143+1 : 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 : 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 02:21:46 PM UTC 2026
% Result : Theorem 0.17s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU143+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n020.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 05:53:32 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.46 fof(f2,axiom,(
% 0.17/0.46 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f3,axiom,(
% 0.17/0.46 (! [A] :( A = empty_set<=> (! [B] : ~ in(B,A) )) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f7,conjecture,(
% 0.17/0.46 (! [A] : singleton(A) != empty_set )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f8,negated_conjecture,(
% 0.17/0.46 ~((! [A] : singleton(A) != empty_set ))),
% 0.17/0.46 inference(negated_conjecture,[status(cth)],[f7])).
% 0.17/0.46 fof(f13,plain,(
% 0.17/0.46 ![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)))))),
% 0.17/0.46 inference(NNF_transformation,[status(thm)],[f2])).
% 0.17/0.46 fof(f14,plain,(
% 0.17/0.46 (![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)))))),
% 0.17/0.46 inference(miniscoping,[status(thm)],[f13])).
% 0.17/0.46 fof(f15,plain,(
% 0.17/0.46 (![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))))),
% 0.17/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f14])).
% 0.17/0.46 fof(f17,plain,(
% 0.17/0.46 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f15])).
% 0.17/0.46 fof(f20,plain,(
% 0.17/0.46 ![A]: ((~A=empty_set|(![B]: ~in(B,A)))&(A=empty_set|(?[B]: in(B,A))))),
% 0.17/0.46 inference(NNF_transformation,[status(thm)],[f3])).
% 0.17/0.46 fof(f21,plain,(
% 0.17/0.46 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|(?[B]: in(B,A))))),
% 0.17/0.46 inference(miniscoping,[status(thm)],[f20])).
% 0.17/0.46 fof(f22,plain,(
% 0.17/0.46 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|in(sK1_skl(A),A)))),
% 0.17/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(B,sK1_skl(A))],[f21])).
% 0.17/0.46 fof(f23,plain,(
% 0.17/0.46 ![X0,X1]: (~X0=empty_set|~in(X1,X0))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f22])).
% 0.17/0.46 fof(f26,plain,(
% 0.17/0.46 (?[A]: singleton(A)=empty_set)),
% 0.17/0.46 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.17/0.46 fof(f27,plain,(
% 0.17/0.46 singleton(sK2_skl)=empty_set),
% 0.17/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(A,sK2_skl)],[f26])).
% 0.17/0.46 fof(f28,plain,(
% 0.17/0.46 singleton(sK2_skl)=empty_set),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f27])).
% 0.17/0.46 fof(f34,plain,(
% 0.17/0.46 ![X0]: (in(X0,singleton(X0)))),
% 0.17/0.46 inference(destructive_equality_resolution,[status(thm)],[f17])).
% 0.17/0.46 fof(f35,plain,(
% 0.17/0.46 ![X0]: (~in(X0,empty_set))),
% 0.17/0.46 inference(destructive_equality_resolution,[status(thm)],[f23])).
% 0.17/0.46 fof(f38,plain,(
% 0.17/0.46 in(sK2_skl,empty_set)),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f28,f34])).
% 0.17/0.46 fof(f39,plain,(
% 0.17/0.46 $false),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f38,f35])).
% 0.17/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.49 % Elapsed time: 0.053971 seconds
% 0.17/0.49 % CPU time: 0.141156 seconds
% 0.17/0.49 % Total memory used: 44.302 MB
% 0.17/0.49 % Net memory used: 44.103 MB
%------------------------------------------------------------------------------