%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU152+2 : TPTP v9.3.1. Released v3.3.0.
% 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 02:21:49 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 : SEU152+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:51:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % 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(f31,conjecture,(
% 0.14/0.41 (! [A,B] :( in(A,B)=> set_union2(singleton(A),B) = B ) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f32,negated_conjecture,(
% 0.14/0.41 ~((! [A,B] :( in(A,B)=> set_union2(singleton(A),B) = B ) ))),
% 0.14/0.41 inference(negated_conjecture,[status(cth)],[f31])).
% 0.14/0.41 fof(f33,lemma,(
% 0.14/0.41 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f42,lemma,(
% 0.14/0.41 (! [A,B] :( subset(A,B)=> set_union2(A,B) = B ) )),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f174,plain,(
% 0.14/0.41 (?[A,B]: (in(A,B)&~set_union2(singleton(A),B)=B))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.14/0.41 fof(f175,plain,(
% 0.14/0.41 (in(sK8_skl,sK9_skl)&~set_union2(singleton(sK8_skl),sK9_skl)=sK9_skl)),
% 0.14/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(A,sK8_skl),skolemize(B,sK9_skl)],[f174])).
% 0.14/0.41 fof(f176,plain,(
% 0.14/0.41 in(sK8_skl,sK9_skl)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f175])).
% 0.14/0.41 fof(f177,plain,(
% 0.14/0.41 ~set_union2(singleton(sK8_skl),sK9_skl)=sK9_skl),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f175])).
% 0.14/0.41 fof(f178,plain,(
% 0.14/0.41 ![A,B]: ((~subset(singleton(A),B)|in(A,B))&(subset(singleton(A),B)|~in(A,B)))),
% 0.14/0.41 inference(NNF_transformation,[status(thm)],[f33])).
% 0.14/0.41 fof(f179,plain,(
% 0.14/0.41 (![A,B]: (~subset(singleton(A),B)|in(A,B)))&(![A,B]: (subset(singleton(A),B)|~in(A,B)))),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f178])).
% 0.14/0.41 fof(f181,plain,(
% 0.14/0.41 ![X0,X1]: (subset(singleton(X0),X1)|~in(X0,X1))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f179])).
% 0.14/0.41 fof(f205,plain,(
% 0.14/0.41 ![A,B]: (~subset(A,B)|set_union2(A,B)=B)),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.14/0.41 fof(f206,plain,(
% 0.14/0.41 ![X0,X1]: (~subset(X0,X1)|set_union2(X0,X1)=X1)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f205])).
% 0.14/0.41 fof(f535,plain,(
% 0.14/0.41 subset(singleton(sK8_skl),sK9_skl)),
% 0.14/0.41 inference(resolution,[status(thm)],[f181,f176])).
% 0.14/0.41 fof(f587,plain,(
% 0.14/0.41 set_union2(singleton(sK8_skl),sK9_skl)=sK9_skl),
% 0.14/0.41 inference(resolution,[status(thm)],[f535,f206])).
% 0.14/0.41 fof(f589,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f587,f177])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.056893 seconds
% 0.14/0.43 % CPU time: 0.204985 seconds
% 0.14/0.43 % Total memory used: 106.445 MB
% 0.14/0.43 % Net memory used: 106.277 MB
%------------------------------------------------------------------------------