%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU161+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 : n002.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 02:21:51 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU161+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
% 0.10/0.36 % Computer : n002.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 05:56:33 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f38,lemma,(
% 0.10/0.40 (! [A,B] :( in(A,B)=> set_union2(singleton(A),B) = B ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f76,conjecture,(
% 0.10/0.40 (! [A,B] :( in(A,B)=> set_union2(singleton(A),B) = B ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f77,negated_conjecture,(
% 0.10/0.40 ~((! [A,B] :( in(A,B)=> set_union2(singleton(A),B) = B ) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f76])).
% 0.10/0.40 fof(f210,plain,(
% 0.10/0.40 ![A,B]: (~in(A,B)|set_union2(singleton(A),B)=B)),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.10/0.40 fof(f211,plain,(
% 0.10/0.40 ![X0,X1]: (~in(X0,X1)|set_union2(singleton(X0),X1)=X1)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f210])).
% 0.10/0.40 fof(f310,plain,(
% 0.10/0.40 (?[A,B]: (in(A,B)&~set_union2(singleton(A),B)=B))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f77])).
% 0.10/0.40 fof(f311,plain,(
% 0.10/0.40 (in(sK20_skl,sK21_skl)&~set_union2(singleton(sK20_skl),sK21_skl)=sK21_skl)),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl]),skolemize(A,sK20_skl),skolemize(B,sK21_skl)],[f310])).
% 0.10/0.40 fof(f312,plain,(
% 0.10/0.40 in(sK20_skl,sK21_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f311])).
% 0.10/0.40 fof(f313,plain,(
% 0.10/0.40 ~set_union2(singleton(sK20_skl),sK21_skl)=sK21_skl),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f311])).
% 0.10/0.40 fof(f425,plain,(
% 0.10/0.40 set_union2(singleton(sK20_skl),sK21_skl)=sK21_skl),
% 0.10/0.40 inference(resolution,[status(thm)],[f211,f312])).
% 0.10/0.40 fof(f427,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f425,f313])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.055875 seconds
% 0.10/0.43 % CPU time: 0.132854 seconds
% 0.10/0.43 % Total memory used: 56.882 MB
% 0.10/0.43 % Net memory used: 56.820 MB
%------------------------------------------------------------------------------