%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU230+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 02:22:04 PM UTC 2026
% Result : Theorem 0.28s 0.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU230+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.43 % Computer : n003.cluster.edu
% 0.20/0.43 % Model : x86_64 x86_64
% 0.20/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.43 % Memory : 8046.5625MB
% 0.20/0.43 % OS : Linux 6.8.0-71-generic
% 0.20/0.43 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Mon Sep 21 06:02:30 UTC 2026
% 0.20/0.44 % CPUTime :
% 0.20/0.48 % Drodi V4.1.1
% 0.28/0.71 % Refutation found
% 0.28/0.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.28/0.71 % SZS output start CNFRefutation for theBenchmark
% 0.28/0.71 fof(f7,axiom,(
% 0.28/0.71 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 0.28/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.71 fof(f18,axiom,(
% 0.28/0.71 (! [A] : succ(A) = set_union2(A,singleton(A)) )),
% 0.28/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.71 fof(f117,lemma,(
% 0.28/0.71 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 0.28/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.71 fof(f143,conjecture,(
% 0.28/0.71 (! [A] : in(A,succ(A)) )),
% 0.28/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.71 fof(f144,negated_conjecture,(
% 0.28/0.71 ~((! [A] : in(A,succ(A)) ))),
% 0.28/0.71 inference(negated_conjecture,[status(cth)],[f143])).
% 0.28/0.71 fof(f242,lemma,(
% 0.28/0.71 (! [A,B] : subset(A,set_union2(A,B)) )),
% 0.28/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.28/0.71 fof(f270,plain,(
% 0.28/0.71 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 0.28/0.71 inference(cnf_transformation,[status(thm)],[f7])).
% 0.28/0.71 fof(f357,plain,(
% 0.28/0.71 ![X0]: (succ(X0)=set_union2(X0,singleton(X0)))),
% 0.28/0.71 inference(cnf_transformation,[status(thm)],[f18])).
% 0.28/0.71 fof(f667,plain,(
% 0.28/0.71 ![A,B]: ((~subset(singleton(A),B)|in(A,B))&(subset(singleton(A),B)|~in(A,B)))),
% 0.28/0.71 inference(NNF_transformation,[status(thm)],[f117])).
% 0.28/0.71 fof(f668,plain,(
% 0.28/0.71 (![A,B]: (~subset(singleton(A),B)|in(A,B)))&(![A,B]: (subset(singleton(A),B)|~in(A,B)))),
% 0.28/0.71 inference(miniscoping,[status(thm)],[f667])).
% 0.28/0.71 fof(f669,plain,(
% 0.28/0.71 ![X0,X1]: (~subset(singleton(X0),X1)|in(X0,X1))),
% 0.28/0.71 inference(cnf_transformation,[status(thm)],[f668])).
% 0.28/0.71 fof(f752,plain,(
% 0.28/0.71 (?[A]: ~in(A,succ(A)))),
% 0.28/0.71 inference(pre_NNF_transformation,[status(thm)],[f144])).
% 0.28/0.71 fof(f753,plain,(
% 0.28/0.71 ~in(sK74_skl,succ(sK74_skl))),
% 0.28/0.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK74_skl]),skolemize(A,sK74_skl)],[f752])).
% 0.28/0.71 fof(f754,plain,(
% 0.28/0.71 ~in(sK74_skl,succ(sK74_skl))),
% 0.28/0.71 inference(cnf_transformation,[status(thm)],[f753])).
% 0.28/0.71 fof(f1062,plain,(
% 0.28/0.71 ![X0,X1]: (subset(X0,set_union2(X0,X1)))),
% 0.28/0.71 inference(cnf_transformation,[status(thm)],[f242])).
% 0.28/0.71 fof(f1515,plain,(
% 0.28/0.71 ![X0,X1]: (subset(X0,set_union2(X1,X0)))),
% 0.28/0.71 inference(paramodulation,[status(thm)],[f270,f1062])).
% 0.28/0.71 fof(f1566,plain,(
% 0.28/0.71 ![X0]: (subset(singleton(X0),succ(X0)))),
% 0.28/0.71 inference(paramodulation,[status(thm)],[f357,f1515])).
% 0.28/0.71 fof(f4018,plain,(
% 0.28/0.71 ![X0]: (in(X0,succ(X0)))),
% 0.28/0.71 inference(resolution,[status(thm)],[f669,f1566])).
% 0.28/0.71 fof(f4025,plain,(
% 0.28/0.71 $false),
% 0.28/0.71 inference(backward_subsumption_resolution,[status(thm)],[f754,f4018])).
% 0.28/0.71 % SZS output end CNFRefutation for theBenchmark.p
% 0.28/0.76 % Elapsed time: 0.302464 seconds
% 0.28/0.76 % CPU time: 1.589481 seconds
% 0.28/0.76 % Total memory used: 135.790 MB
% 0.28/0.76 % Net memory used: 133.605 MB
%------------------------------------------------------------------------------