%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU230+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 02:22:04 PM UTC 2026
% Result : Theorem 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU230+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:58:50 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f6,axiom,(
% 0.14/0.41 (! [A] : succ(A) = set_union2(A,singleton(A)) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f7,axiom,(
% 0.14/0.41 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f8,axiom,(
% 0.14/0.41 (! [A,B,C] :( C = set_union2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)| in(D,B) ) ) )) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f28,conjecture,(
% 0.14/0.41 (! [A] : in(A,succ(A)) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f29,negated_conjecture,(
% 0.14/0.41 ~((! [A] : in(A,succ(A)) ))),
% 0.14/0.41 inference(negated_conjecture,[status(cth)],[f28])).
% 0.14/0.41 fof(f47,plain,(
% 0.14/0.41 ![X0]: (succ(X0)=set_union2(X0,singleton(X0)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.41 fof(f48,plain,(
% 0.14/0.41 ![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)))))),
% 0.14/0.41 inference(NNF_transformation,[status(thm)],[f7])).
% 0.14/0.41 fof(f49,plain,(
% 0.14/0.41 (![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)))))),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f48])).
% 0.14/0.41 fof(f50,plain,(
% 0.14/0.41 (![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))))),
% 0.14/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f49])).
% 0.14/0.41 fof(f52,plain,(
% 0.14/0.41 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f50])).
% 0.14/0.41 fof(f55,plain,(
% 0.14/0.41 ![A,B,C]: ((~C=set_union2(A,B)|(![D]: ((~in(D,C)|(in(D,A)|in(D,B)))&(in(D,C)|(~in(D,A)&~in(D,B))))))&(C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 0.14/0.41 inference(NNF_transformation,[status(thm)],[f8])).
% 0.14/0.41 fof(f56,plain,(
% 0.14/0.41 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f55])).
% 0.14/0.41 fof(f57,plain,(
% 0.14/0.41 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|((~in(sK1_skl(C,B,A),C)|(~in(sK1_skl(C,B,A),A)&~in(sK1_skl(C,B,A),B)))&(in(sK1_skl(C,B,A),C)|(in(sK1_skl(C,B,A),A)|in(sK1_skl(C,B,A),B))))))),
% 0.14/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B,A))],[f56])).
% 0.14/0.41 fof(f60,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (~X0=set_union2(X1,X2)|in(X3,X0)|~in(X3,X2))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f57])).
% 0.14/0.41 fof(f115,plain,(
% 0.14/0.41 (?[A]: ~in(A,succ(A)))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.14/0.41 fof(f116,plain,(
% 0.14/0.41 ~in(sK13_skl,succ(sK13_skl))),
% 0.14/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(A,sK13_skl)],[f115])).
% 0.14/0.41 fof(f117,plain,(
% 0.14/0.41 ~in(sK13_skl,succ(sK13_skl))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f116])).
% 0.14/0.41 fof(f132,plain,(
% 0.14/0.41 ![X0]: (in(X0,singleton(X0)))),
% 0.14/0.41 inference(destructive_equality_resolution,[status(thm)],[f52])).
% 0.14/0.41 fof(f135,plain,(
% 0.14/0.41 ![X0,X1,X2]: (in(X0,set_union2(X1,X2))|~in(X0,X2))),
% 0.14/0.41 inference(destructive_equality_resolution,[status(thm)],[f60])).
% 0.14/0.41 fof(f206,plain,(
% 0.14/0.41 ![X0,X1]: (in(X0,succ(X1))|~in(X0,singleton(X1)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f47,f135])).
% 0.14/0.41 fof(f274,plain,(
% 0.14/0.41 ![X0]: (in(X0,succ(X0)))),
% 0.14/0.41 inference(resolution,[status(thm)],[f206,f132])).
% 0.14/0.41 fof(f276,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(backward_subsumption_resolution,[status(thm)],[f117,f274])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.070750 seconds
% 0.14/0.44 % CPU time: 0.216538 seconds
% 0.14/0.44 % Total memory used: 103.827 MB
% 0.14/0.44 % Net memory used: 103.640 MB
%------------------------------------------------------------------------------