%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU451+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:22:45 PM UTC 2026
% Result : Theorem 1.19s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU451+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Mon Sep 21 06:35:23 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 1.19/0.57 % Refutation found
% 1.19/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.19/0.57 % SZS output start CNFRefutation for theBenchmark
% 1.19/0.57 fof(f1,conjecture,(
% 1.19/0.57 (! [A,B,C] :( m2_relset_1(C,A,B)=> k9_relset_2(A,A,B,k6_partfun1(A),C) = k9_relset_2(A,B,B,C,k6_partfun1(B)) ) )),
% 1.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.19/0.57 fof(f2,negated_conjecture,(
% 1.19/0.57 ~((! [A,B,C] :( m2_relset_1(C,A,B)=> k9_relset_2(A,A,B,k6_partfun1(A),C) = k9_relset_2(A,B,B,C,k6_partfun1(B)) ) ))),
% 1.19/0.57 inference(negated_conjecture,[status(cth)],[f1])).
% 1.19/0.57 fof(f11,axiom,(
% 1.19/0.57 (! [A] :( v1_partfun1(k6_partfun1(A),A,A)& m2_relset_1(k6_partfun1(A),A,A) ) )),
% 1.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.19/0.57 fof(f17,axiom,(
% 1.19/0.57 (! [A,B,C] :( m2_relset_1(C,A,B)=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) )),
% 1.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.19/0.57 fof(f37,axiom,(
% 1.19/0.57 (! [A,B,C,D,E,F] :( ( m1_relset_1(E,A,B)& m1_relset_1(F,C,D) )=> k7_relset_1(A,B,C,D,E,F) = k5_relat_1(E,F) ) )),
% 1.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.19/0.57 fof(f38,axiom,(
% 1.19/0.57 (! [A,B,C,D,E] :( ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))& m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) )=> k9_relset_2(A,B,C,D,E) = k5_relat_1(D,E) ) )),
% 1.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.19/0.57 fof(f39,axiom,(
% 1.19/0.57 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 1.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.19/0.57 fof(f42,axiom,(
% 1.19/0.57 (! [A,B,C] :( m2_relset_1(C,A,B)=> ( k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C& k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C ) ) )),
% 1.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.19/0.57 fof(f50,plain,(
% 1.19/0.57 (?[A,B,C]: (m2_relset_1(C,A,B)&~k9_relset_2(A,A,B,k6_partfun1(A),C)=k9_relset_2(A,B,B,C,k6_partfun1(B))))),
% 1.19/0.57 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 1.19/0.57 fof(f51,plain,(
% 1.19/0.57 (m2_relset_1(sK2_skl,sK0_skl,sK1_skl)&~k9_relset_2(sK0_skl,sK0_skl,sK1_skl,k6_partfun1(sK0_skl),sK2_skl)=k9_relset_2(sK0_skl,sK1_skl,sK1_skl,sK2_skl,k6_partfun1(sK1_skl)))),
% 1.19/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f50])).
% 1.19/0.57 fof(f52,plain,(
% 1.19/0.57 m2_relset_1(sK2_skl,sK0_skl,sK1_skl)),
% 1.19/0.57 inference(cnf_transformation,[status(thm)],[f51])).
% 1.19/0.57 fof(f53,plain,(
% 1.19/0.57 ~k9_relset_2(sK0_skl,sK0_skl,sK1_skl,k6_partfun1(sK0_skl),sK2_skl)=k9_relset_2(sK0_skl,sK1_skl,sK1_skl,sK2_skl,k6_partfun1(sK1_skl))),
% 1.19/0.57 inference(cnf_transformation,[status(thm)],[f51])).
% 1.19/0.57 fof(f66,plain,(
% 1.19/0.57 (![A]: v1_partfun1(k6_partfun1(A),A,A))&(![A]: m2_relset_1(k6_partfun1(A),A,A))),
% 1.19/0.57 inference(miniscoping,[status(thm)],[f11])).
% 1.19/0.57 fof(f68,plain,(
% 1.19/0.57 ![X0]: (m2_relset_1(k6_partfun1(X0),X0,X0))),
% 1.19/0.57 inference(cnf_transformation,[status(thm)],[f66])).
% 1.19/0.57 fof(f74,plain,(
% 1.19/0.57 ![A,B,C]: (~m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))),
% 1.19/0.57 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 1.19/0.57 fof(f75,plain,(
% 1.19/0.57 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))),
% 1.19/0.57 inference(cnf_transformation,[status(thm)],[f74])).
% 1.19/0.57 fof(f133,plain,(
% 1.19/0.57 ![A,B,C,D,E,F]: ((~m1_relset_1(E,A,B)|~m1_relset_1(F,C,D))|k7_relset_1(A,B,C,D,E,F)=k5_relat_1(E,F))),
% 1.19/0.57 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 1.19/0.57 fof(f134,plain,(
% 1.19/0.57 ![X0,X1,X2,X3,X4,X5]: (~m1_relset_1(X0,X1,X2)|~m1_relset_1(X3,X4,X5)|k7_relset_1(X1,X2,X4,X5,X0,X3)=k5_relat_1(X0,X3))),
% 1.19/0.57 inference(cnf_transformation,[status(thm)],[f133])).
% 1.19/0.57 fof(f135,plain,(
% 1.19/0.57 ![A,B,C,D,E]: ((~m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))|~m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))))|k9_relset_2(A,B,C,D,E)=k5_relat_1(D,E))),
% 1.19/0.57 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 1.19/0.57 fof(f136,plain,(
% 1.19/0.57 ![X0,X1,X2,X3,X4]: (~m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))|k9_relset_2(X1,X2,X4,X0,X3)=k5_relat_1(X0,X3))),
% 1.19/0.57 inference(cnf_transformation,[status(thm)],[f135])).
% 1.19/0.57 fof(f137,plain,(
% 1.19/0.57 ![A,B,C]: ((~m2_relset_1(C,A,B)|m1_relset_1(C,A,B))&(m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 1.19/0.57 inference(NNF_transformation,[status(thm)],[f39])).
% 1.19/0.57 fof(f138,plain,(
% 1.19/0.57 (![A,B,C]: (~m2_relset_1(C,A,B)|m1_relset_1(C,A,B)))&(![A,B,C]: (m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 1.19/0.57 inference(miniscoping,[status(thm)],[f137])).
% 1.19/0.57 fof(f139,plain,(
% 1.19/0.57 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 1.19/0.57 inference(cnf_transformation,[status(thm)],[f138])).
% 1.19/0.57 fof(f145,plain,(
% 1.19/0.57 ![A,B,C]: (~m2_relset_1(C,A,B)|(k7_relset_1(A,A,A,B,k6_partfun1(A),C)=C&k7_relset_1(A,B,B,B,C,k6_partfun1(B))=C))),
% 1.19/0.57 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 1.19/0.57 fof(f146,plain,(
% 1.19/0.57 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X0)=X0)),
% 1.19/0.57 inference(cnf_transformation,[status(thm)],[f145])).
% 1.19/0.57 fof(f147,plain,(
% 1.19/0.57 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|k7_relset_1(X1,X2,X2,X2,X0,k6_partfun1(X2))=X0)),
% 1.19/0.57 inference(cnf_transformation,[status(thm)],[f145])).
% 1.19/0.57 fof(f227,plain,(
% 1.19/0.57 ![X0]: (m1_subset_1(k6_partfun1(X0),k1_zfmisc_1(k2_zfmisc_1(X0,X0))))),
% 1.19/0.57 inference(resolution,[status(thm)],[f75,f68])).
% 1.19/0.57 fof(f228,plain,(
% 1.19/0.57 m1_subset_1(sK2_skl,k1_zfmisc_1(k2_zfmisc_1(sK0_skl,sK1_skl)))),
% 1.19/0.57 inference(resolution,[status(thm)],[f75,f52])).
% 1.19/0.57 fof(f234,plain,(
% 1.19/0.57 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,sK0_skl)))|k9_relset_2(X1,sK0_skl,sK1_skl,X0,sK2_skl)=k5_relat_1(X0,sK2_skl))),
% 1.19/0.57 inference(resolution,[status(thm)],[f228,f136])).
% 1.19/0.57 fof(f235,plain,(
% 1.19/0.57 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK1_skl,X1)))|k9_relset_2(sK0_skl,sK1_skl,X1,sK2_skl,X0)=k5_relat_1(sK2_skl,X0))),
% 1.19/0.57 inference(resolution,[status(thm)],[f228,f136])).
% 1.19/0.57 fof(f314,plain,(
% 1.19/0.57 k9_relset_2(sK0_skl,sK0_skl,sK1_skl,k6_partfun1(sK0_skl),sK2_skl)=k5_relat_1(k6_partfun1(sK0_skl),sK2_skl)),
% 1.19/0.57 inference(resolution,[status(thm)],[f234,f227])).
% 1.19/0.57 fof(f315,plain,(
% 1.19/0.57 ~k5_relat_1(k6_partfun1(sK0_skl),sK2_skl)=k9_relset_2(sK0_skl,sK1_skl,sK1_skl,sK2_skl,k6_partfun1(sK1_skl))),
% 1.19/0.57 inference(backward_demodulation,[status(thm)],[f314,f53])).
% 1.19/0.57 fof(f377,plain,(
% 1.19/0.57 k9_relset_2(sK0_skl,sK1_skl,sK1_skl,sK2_skl,k6_partfun1(sK1_skl))=k5_relat_1(sK2_skl,k6_partfun1(sK1_skl))),
% 1.19/0.57 inference(resolution,[status(thm)],[f235,f227])).
% 1.19/0.57 fof(f378,plain,(
% 1.19/0.57 ~k5_relat_1(k6_partfun1(sK0_skl),sK2_skl)=k5_relat_1(sK2_skl,k6_partfun1(sK1_skl))),
% 1.19/0.57 inference(backward_demodulation,[status(thm)],[f377,f315])).
% 1.19/0.57 fof(f691,plain,(
% 1.19/0.57 ![X0]: (m1_relset_1(k6_partfun1(X0),X0,X0))),
% 1.19/0.57 inference(resolution,[status(thm)],[f139,f68])).
% 1.19/0.57 fof(f692,plain,(
% 1.19/0.57 m1_relset_1(sK2_skl,sK0_skl,sK1_skl)),
% 1.19/0.57 inference(resolution,[status(thm)],[f139,f52])).
% 1.19/0.57 fof(f694,plain,(
% 1.19/0.57 ![X0,X1,X2]: (~m1_relset_1(X0,X1,X2)|k7_relset_1(X1,X2,sK0_skl,sK1_skl,X0,sK2_skl)=k5_relat_1(X0,sK2_skl))),
% 1.19/0.57 inference(resolution,[status(thm)],[f692,f134])).
% 1.19/0.57 fof(f696,plain,(
% 1.19/0.57 ![X0,X1,X2]: (~m1_relset_1(X0,X1,X2)|k7_relset_1(sK0_skl,sK1_skl,X1,X2,sK2_skl,X0)=k5_relat_1(sK2_skl,X0))),
% 1.19/0.57 inference(resolution,[status(thm)],[f692,f134])).
% 1.19/0.57 fof(f758,plain,(
% 1.19/0.57 k7_relset_1(sK0_skl,sK0_skl,sK0_skl,sK1_skl,k6_partfun1(sK0_skl),sK2_skl)=sK2_skl),
% 1.19/0.57 inference(resolution,[status(thm)],[f146,f52])).
% 1.19/0.57 fof(f890,plain,(
% 1.19/0.57 k7_relset_1(sK0_skl,sK1_skl,sK1_skl,sK1_skl,sK2_skl,k6_partfun1(sK1_skl))=sK2_skl),
% 1.19/0.57 inference(resolution,[status(thm)],[f147,f52])).
% 1.19/0.57 fof(f1030,plain,(
% 1.19/0.57 ![X0]: (k7_relset_1(X0,X0,sK0_skl,sK1_skl,k6_partfun1(X0),sK2_skl)=k5_relat_1(k6_partfun1(X0),sK2_skl))),
% 1.19/0.57 inference(resolution,[status(thm)],[f694,f691])).
% 1.19/0.57 fof(f1035,plain,(
% 1.19/0.57 k5_relat_1(k6_partfun1(sK0_skl),sK2_skl)=sK2_skl),
% 1.19/0.57 inference(backward_demodulation,[status(thm)],[f1030,f758])).
% 1.19/0.57 fof(f1036,plain,(
% 1.19/0.57 ~sK2_skl=k5_relat_1(sK2_skl,k6_partfun1(sK1_skl))),
% 1.19/0.57 inference(backward_demodulation,[status(thm)],[f1035,f378])).
% 1.19/0.57 fof(f1361,plain,(
% 1.19/0.57 ![X0]: (k7_relset_1(sK0_skl,sK1_skl,X0,X0,sK2_skl,k6_partfun1(X0))=k5_relat_1(sK2_skl,k6_partfun1(X0)))),
% 1.19/0.57 inference(resolution,[status(thm)],[f696,f691])).
% 1.19/0.57 fof(f1367,plain,(
% 1.19/0.57 k5_relat_1(sK2_skl,k6_partfun1(sK1_skl))=sK2_skl),
% 1.19/0.57 inference(backward_demodulation,[status(thm)],[f1361,f890])).
% 1.19/0.57 fof(f1368,plain,(
% 1.19/0.57 $false),
% 1.19/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1367,f1036])).
% 1.19/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 1.19/0.58 % Elapsed time: 0.279825 seconds
% 1.19/0.58 % CPU time: 1.952953 seconds
% 1.19/0.58 % Total memory used: 177.011 MB
% 1.19/0.58 % Net memory used: 173.439 MB
%------------------------------------------------------------------------------