%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG224+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 : n013.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 11:49:52 AM UTC 2026
% Result : Theorem 119.09s 15.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG224+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n013.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 13:04:51 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 % Drodi V4.1.1
% 119.09/15.55 % Refutation found
% 119.09/15.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 119.09/15.55 % SZS output start CNFRefutation for theBenchmark
% 119.09/15.55 fof(f1,conjecture,(
% 119.09/15.55 (! [A,B] :( m1_pboole(B,A)=> (! [C] :( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))=> (! [D] :( m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B)))=> (! [E] :( m1_subset_1(E,k1_zfmisc_1(k1_closure2(A,B)))=> ( ( r2_closure3(A,B,C,D)& r2_closure3(A,B,D,E) )=> r2_closure3(A,B,C,E) ) ) )) )) )) )),
% 119.09/15.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 119.09/15.55 fof(f2,negated_conjecture,(
% 119.09/15.55 ~((! [A,B] :( m1_pboole(B,A)=> (! [C] :( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))=> (! [D] :( m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B)))=> (! [E] :( m1_subset_1(E,k1_zfmisc_1(k1_closure2(A,B)))=> ( ( r2_closure3(A,B,C,D)& r2_closure3(A,B,D,E) )=> r2_closure3(A,B,C,E) ) ) )) )) )) ))),
% 119.09/15.55 inference(negated_conjecture,[status(cth)],[f1])).
% 119.09/15.55 fof(f9,axiom,(
% 119.09/15.55 (! [A,B] :( m1_pboole(B,A)=> (! [C] :( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))=> (! [D] :( m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B)))=> ( r2_closure3(A,B,C,D)<=> (! [E] :~ ( r2_hidden(E,C)& (! [F] :~ ( r2_hidden(F,D)& r1_tarski(F,E) ) )) )) ) )) )) )),
% 119.09/15.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 119.09/15.55 fof(f36,axiom,(
% 119.09/15.55 (! [A,B,C] :( ( r1_tarski(A,B)& r1_tarski(B,C) )=> r1_tarski(A,C) ) )),
% 119.09/15.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 119.09/15.55 fof(f44,plain,(
% 119.09/15.55 (?[A,B]: (m1_pboole(B,A)&(?[C]: (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))&(?[D]: (m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B)))&(?[E]: (m1_subset_1(E,k1_zfmisc_1(k1_closure2(A,B)))&((r2_closure3(A,B,C,D)&r2_closure3(A,B,D,E))&~r2_closure3(A,B,C,E))))))))))),
% 119.09/15.55 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 119.09/15.55 fof(f45,plain,(
% 119.09/15.55 (m1_pboole(sK1_skl,sK0_skl)&(m1_subset_1(sK2_skl,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))&(m1_subset_1(sK3_skl,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))&(m1_subset_1(sK4_skl,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))&((r2_closure3(sK0_skl,sK1_skl,sK2_skl,sK3_skl)&r2_closure3(sK0_skl,sK1_skl,sK3_skl,sK4_skl))&~r2_closure3(sK0_skl,sK1_skl,sK2_skl,sK4_skl))))))),
% 119.09/15.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl),skolemize(E,sK4_skl)],[f44])).
% 119.09/15.55 fof(f46,plain,(
% 119.09/15.55 m1_pboole(sK1_skl,sK0_skl)),
% 119.09/15.55 inference(cnf_transformation,[status(thm)],[f45])).
% 119.09/15.55 fof(f47,plain,(
% 119.09/15.55 m1_subset_1(sK2_skl,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))),
% 119.09/15.55 inference(cnf_transformation,[status(thm)],[f45])).
% 119.09/15.55 fof(f48,plain,(
% 119.09/15.55 m1_subset_1(sK3_skl,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))),
% 119.09/15.55 inference(cnf_transformation,[status(thm)],[f45])).
% 119.09/15.55 fof(f49,plain,(
% 119.09/15.55 m1_subset_1(sK4_skl,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))),
% 119.09/15.55 inference(cnf_transformation,[status(thm)],[f45])).
% 119.09/15.55 fof(f50,plain,(
% 119.09/15.55 r2_closure3(sK0_skl,sK1_skl,sK2_skl,sK3_skl)),
% 119.09/15.55 inference(cnf_transformation,[status(thm)],[f45])).
% 119.09/15.55 fof(f51,plain,(
% 119.09/15.55 r2_closure3(sK0_skl,sK1_skl,sK3_skl,sK4_skl)),
% 119.09/15.55 inference(cnf_transformation,[status(thm)],[f45])).
% 119.09/15.55 fof(f52,plain,(
% 119.09/15.55 ~r2_closure3(sK0_skl,sK1_skl,sK2_skl,sK4_skl)),
% 119.09/15.56 inference(cnf_transformation,[status(thm)],[f45])).
% 119.09/15.56 fof(f67,plain,(
% 119.09/15.56 ![A,B]: (~m1_pboole(B,A)|(![C]: (~m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))|(![D]: (~m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B)))|(r2_closure3(A,B,C,D)<=>(![E]: (~r2_hidden(E,C)|(?[F]: (r2_hidden(F,D)&r1_tarski(F,E)))))))))))),
% 119.09/15.56 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 119.09/15.56 fof(f68,plain,(
% 119.09/15.56 ![A,B]: (~m1_pboole(B,A)|(![C]: (~m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))|(![D]: (~m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B)))|((~r2_closure3(A,B,C,D)|(![E]: (~r2_hidden(E,C)|(?[F]: (r2_hidden(F,D)&r1_tarski(F,E))))))&(r2_closure3(A,B,C,D)|(?[E]: (r2_hidden(E,C)&(![F]: (~r2_hidden(F,D)|~r1_tarski(F,E))))))))))))),
% 119.09/15.56 inference(NNF_transformation,[status(thm)],[f67])).
% 119.09/15.56 fof(f69,plain,(
% 119.09/15.56 ![A,B]: (~m1_pboole(B,A)|(![C]: (~m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))|(![D]: (~m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B)))|((~r2_closure3(A,B,C,D)|(![E]: (~r2_hidden(E,C)|(r2_hidden(sK5_skl(E,D,C,B,A),D)&r1_tarski(sK5_skl(E,D,C,B,A),E)))))&(r2_closure3(A,B,C,D)|(r2_hidden(sK6_skl(D,C,B,A),C)&(![F]: (~r2_hidden(F,D)|~r1_tarski(F,sK6_skl(D,C,B,A))))))))))))),
% 119.09/15.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl]),skolemize(F,sK5_skl(E,D,C,B,A)),skolemize(E,sK6_skl(D,C,B,A))],[f68])).
% 119.09/15.56 fof(f70,plain,(
% 119.09/15.56 ![X0,X1,X2,X3,X4]: (~m1_pboole(X0,X1)|~m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))|~m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X0)))|~r2_closure3(X1,X0,X2,X3)|~r2_hidden(X4,X2)|r2_hidden(sK5_skl(X4,X3,X2,X0,X1),X3))),
% 119.09/15.56 inference(cnf_transformation,[status(thm)],[f69])).
% 119.09/15.56 fof(f71,plain,(
% 119.09/15.56 ![X0,X1,X2,X3,X4]: (~m1_pboole(X0,X1)|~m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))|~m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X0)))|~r2_closure3(X1,X0,X2,X3)|~r2_hidden(X4,X2)|r1_tarski(sK5_skl(X4,X3,X2,X0,X1),X4))),
% 119.09/15.56 inference(cnf_transformation,[status(thm)],[f69])).
% 119.09/15.56 fof(f72,plain,(
% 119.09/15.56 ![X0,X1,X2,X3]: (~m1_pboole(X0,X1)|~m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))|~m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X0)))|r2_closure3(X1,X0,X2,X3)|r2_hidden(sK6_skl(X3,X2,X0,X1),X2))),
% 119.09/15.56 inference(cnf_transformation,[status(thm)],[f69])).
% 119.09/15.56 fof(f73,plain,(
% 119.09/15.56 ![X0,X1,X2,X3,X4]: (~m1_pboole(X0,X1)|~m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))|~m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X0)))|r2_closure3(X1,X0,X2,X3)|~r2_hidden(X4,X3)|~r1_tarski(X4,sK6_skl(X3,X2,X0,X1)))),
% 119.09/15.56 inference(cnf_transformation,[status(thm)],[f69])).
% 119.09/15.56 fof(f152,plain,(
% 119.09/15.56 ![A,B,C]: ((~r1_tarski(A,B)|~r1_tarski(B,C))|r1_tarski(A,C))),
% 119.09/15.56 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 119.09/15.56 fof(f153,plain,(
% 119.09/15.56 ![A,C]: ((![B]: (~r1_tarski(A,B)|~r1_tarski(B,C)))|r1_tarski(A,C))),
% 119.09/15.56 inference(miniscoping,[status(thm)],[f152])).
% 119.09/15.56 fof(f154,plain,(
% 119.09/15.56 ![X0,X1,X2]: (~r1_tarski(X0,X1)|~r1_tarski(X1,X2)|r1_tarski(X0,X2))),
% 119.09/15.56 inference(cnf_transformation,[status(thm)],[f153])).
% 119.09/15.56 fof(f200,plain,(
% 119.09/15.56 ![X0,X1]: (~m1_pboole(sK1_skl,sK0_skl)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))|~r2_closure3(sK0_skl,sK1_skl,X0,sK4_skl)|~r2_hidden(X1,X0)|r2_hidden(sK5_skl(X1,sK4_skl,X0,sK1_skl,sK0_skl),sK4_skl))),
% 119.09/15.56 inference(resolution,[status(thm)],[f70,f49])).
% 119.09/15.56 fof(f201,plain,(
% 119.09/15.56 ![X0,X1]: (~m1_pboole(sK1_skl,sK0_skl)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))|~r2_closure3(sK0_skl,sK1_skl,X0,sK3_skl)|~r2_hidden(X1,X0)|r2_hidden(sK5_skl(X1,sK3_skl,X0,sK1_skl,sK0_skl),sK3_skl))),
% 119.09/15.56 inference(resolution,[status(thm)],[f70,f48])).
% 119.09/15.56 fof(f204,plain,(
% 119.09/15.56 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))|~r2_closure3(sK0_skl,sK1_skl,X0,sK4_skl)|~r2_hidden(X1,X0)|r2_hidden(sK5_skl(X1,sK4_skl,X0,sK1_skl,sK0_skl),sK4_skl))),
% 119.09/15.56 inference(forward_subsumption_resolution,[status(thm)],[f200,f46])).
% 119.09/15.56 fof(f205,plain,(
% 119.09/15.56 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))|~r2_closure3(sK0_skl,sK1_skl,X0,sK3_skl)|~r2_hidden(X1,X0)|r2_hidden(sK5_skl(X1,sK3_skl,X0,sK1_skl,sK0_skl),sK3_skl))),
% 119.09/15.56 inference(forward_subsumption_resolution,[status(thm)],[f201,f46])).
% 119.09/15.56 fof(f208,plain,(
% 119.09/15.56 ![X0,X1]: (~m1_pboole(sK1_skl,sK0_skl)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))|~r2_closure3(sK0_skl,sK1_skl,X0,sK4_skl)|~r2_hidden(X1,X0)|r1_tarski(sK5_skl(X1,sK4_skl,X0,sK1_skl,sK0_skl),X1))),
% 119.09/15.56 inference(resolution,[status(thm)],[f71,f49])).
% 119.09/15.56 fof(f209,plain,(
% 119.09/15.56 ![X0,X1]: (~m1_pboole(sK1_skl,sK0_skl)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))|~r2_closure3(sK0_skl,sK1_skl,X0,sK3_skl)|~r2_hidden(X1,X0)|r1_tarski(sK5_skl(X1,sK3_skl,X0,sK1_skl,sK0_skl),X1))),
% 119.09/15.56 inference(resolution,[status(thm)],[f71,f48])).
% 119.09/15.56 fof(f212,plain,(
% 119.09/15.56 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))|~r2_closure3(sK0_skl,sK1_skl,X0,sK4_skl)|~r2_hidden(X1,X0)|r1_tarski(sK5_skl(X1,sK4_skl,X0,sK1_skl,sK0_skl),X1))),
% 119.09/15.56 inference(forward_subsumption_resolution,[status(thm)],[f208,f46])).
% 119.09/15.56 fof(f213,plain,(
% 119.09/15.56 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))|~r2_closure3(sK0_skl,sK1_skl,X0,sK3_skl)|~r2_hidden(X1,X0)|r1_tarski(sK5_skl(X1,sK3_skl,X0,sK1_skl,sK0_skl),X1))),
% 119.09/15.56 inference(forward_subsumption_resolution,[status(thm)],[f209,f46])).
% 119.09/15.56 fof(f216,plain,(
% 119.09/15.56 ![X0]: (~m1_pboole(sK1_skl,sK0_skl)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))|r2_closure3(sK0_skl,sK1_skl,X0,sK4_skl)|r2_hidden(sK6_skl(sK4_skl,X0,sK1_skl,sK0_skl),X0))),
% 119.09/15.56 inference(resolution,[status(thm)],[f72,f49])).
% 119.09/15.56 fof(f220,plain,(
% 119.09/15.56 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))|r2_closure3(sK0_skl,sK1_skl,X0,sK4_skl)|r2_hidden(sK6_skl(sK4_skl,X0,sK1_skl,sK0_skl),X0))),
% 119.09/15.56 inference(forward_subsumption_resolution,[status(thm)],[f216,f46])).
% 119.09/15.56 fof(f224,plain,(
% 119.09/15.56 ![X0,X1]: (~m1_pboole(sK1_skl,sK0_skl)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))|r2_closure3(sK0_skl,sK1_skl,X0,sK4_skl)|~r2_hidden(X1,sK4_skl)|~r1_tarski(X1,sK6_skl(sK4_skl,X0,sK1_skl,sK0_skl)))),
% 119.09/15.56 inference(resolution,[status(thm)],[f73,f49])).
% 119.09/15.56 fof(f228,plain,(
% 119.09/15.56 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0_skl,sK1_skl)))|r2_closure3(sK0_skl,sK1_skl,X0,sK4_skl)|~r2_hidden(X1,sK4_skl)|~r1_tarski(X1,sK6_skl(sK4_skl,X0,sK1_skl,sK0_skl)))),
% 119.09/15.56 inference(forward_subsumption_resolution,[status(thm)],[f224,f46])).
% 119.09/15.56 fof(f246,plain,(
% 119.09/15.56 ![X0]: (~r2_closure3(sK0_skl,sK1_skl,sK3_skl,sK4_skl)|~r2_hidden(X0,sK3_skl)|r2_hidden(sK5_skl(X0,sK4_skl,sK3_skl,sK1_skl,sK0_skl),sK4_skl))),
% 119.09/15.56 inference(resolution,[status(thm)],[f204,f48])).
% 119.09/15.56 fof(f250,plain,(
% 119.09/15.56 ![X0]: (~r2_hidden(X0,sK3_skl)|r2_hidden(sK5_skl(X0,sK4_skl,sK3_skl,sK1_skl,sK0_skl),sK4_skl))),
% 119.09/15.56 inference(forward_subsumption_resolution,[status(thm)],[f246,f51])).
% 119.09/15.56 fof(f254,plain,(
% 119.09/15.56 ![X0]: (~r2_closure3(sK0_skl,sK1_skl,sK2_skl,sK3_skl)|~r2_hidden(X0,sK2_skl)|r2_hidden(sK5_skl(X0,sK3_skl,sK2_skl,sK1_skl,sK0_skl),sK3_skl))),
% 119.09/15.56 inference(resolution,[status(thm)],[f205,f47])).
% 119.09/15.56 fof(f257,plain,(
% 119.09/15.56 ![X0]: (~r2_hidden(X0,sK2_skl)|r2_hidden(sK5_skl(X0,sK3_skl,sK2_skl,sK1_skl,sK0_skl),sK3_skl))),
% 119.09/15.56 inference(forward_subsumption_resolution,[status(thm)],[f254,f50])).
% 119.09/15.56 fof(f268,plain,(
% 119.09/15.56 ![X0]: (~r2_closure3(sK0_skl,sK1_skl,sK3_skl,sK4_skl)|~r2_hidden(X0,sK3_skl)|r1_tarski(sK5_skl(X0,sK4_skl,sK3_skl,sK1_skl,sK0_skl),X0))),
% 119.09/15.56 inference(resolution,[status(thm)],[f212,f48])).
% 119.09/15.56 fof(f272,plain,(
% 119.09/15.56 ![X0]: (~r2_hidden(X0,sK3_skl)|r1_tarski(sK5_skl(X0,sK4_skl,sK3_skl,sK1_skl,sK0_skl),X0))),
% 119.09/15.56 inference(forward_subsumption_resolution,[status(thm)],[f268,f51])).
% 119.09/15.56 fof(f276,plain,(
% 119.09/15.56 ![X0]: (~r2_closure3(sK0_skl,sK1_skl,sK2_skl,sK3_skl)|~r2_hidden(X0,sK2_skl)|r1_tarski(sK5_skl(X0,sK3_skl,sK2_skl,sK1_skl,sK0_skl),X0))),
% 119.09/15.56 inference(resolution,[status(thm)],[f213,f47])).
% 119.09/15.56 fof(f279,plain,(
% 119.09/15.56 ![X0]: (~r2_hidden(X0,sK2_skl)|r1_tarski(sK5_skl(X0,sK3_skl,sK2_skl,sK1_skl,sK0_skl),X0))),
% 119.09/15.56 inference(forward_subsumption_resolution,[status(thm)],[f276,f50])).
% 119.09/15.56 fof(f289,plain,(
% 119.09/15.56 r2_closure3(sK0_skl,sK1_skl,sK2_skl,sK4_skl)|r2_hidden(sK6_skl(sK4_skl,sK2_skl,sK1_skl,sK0_skl),sK2_skl)),
% 119.09/15.56 inference(resolution,[status(thm)],[f220,f47])).
% 119.09/15.56 fof(f291,plain,(
% 119.09/15.56 r2_hidden(sK6_skl(sK4_skl,sK2_skl,sK1_skl,sK0_skl),sK2_skl)),
% 119.09/15.56 inference(forward_subsumption_resolution,[status(thm)],[f289,f52])).
% 119.09/15.56 fof(f305,plain,(
% 119.09/15.56 ![X0]: (r2_closure3(sK0_skl,sK1_skl,sK2_skl,sK4_skl)|~r2_hidden(X0,sK4_skl)|~r1_tarski(X0,sK6_skl(sK4_skl,sK2_skl,sK1_skl,sK0_skl)))),
% 119.09/15.56 inference(resolution,[status(thm)],[f228,f47])).
% 119.09/15.56 fof(f307,plain,(
% 119.09/15.56 ![X0]: (~r2_hidden(X0,sK4_skl)|~r1_tarski(X0,sK6_skl(sK4_skl,sK2_skl,sK1_skl,sK0_skl)))),
% 119.09/15.56 inference(forward_subsumption_resolution,[status(thm)],[f305,f52])).
% 119.09/15.56 fof(f599,plain,(
% 119.09/15.56 r1_tarski(sK5_skl(sK6_skl(sK4_skl,sK2_skl,sK1_skl,sK0_skl),sK3_skl,sK2_skl,sK1_skl,sK0_skl),sK6_skl(sK4_skl,sK2_skl,sK1_skl,sK0_skl))),
% 119.09/15.56 inference(resolution,[status(thm)],[f291,f279])).
% 119.09/15.56 fof(f601,plain,(
% 119.09/15.56 r2_hidden(sK5_skl(sK6_skl(sK4_skl,sK2_skl,sK1_skl,sK0_skl),sK3_skl,sK2_skl,sK1_skl,sK0_skl),sK3_skl)),
% 119.09/15.56 inference(resolution,[status(thm)],[f291,f257])).
% 119.09/15.56 fof(f770,plain,(
% 119.09/15.56 ![X0,X1]: (~r2_hidden(X0,sK4_skl)|~r1_tarski(X0,X1)|~r1_tarski(X1,sK6_skl(sK4_skl,sK2_skl,sK1_skl,sK0_skl)))),
% 119.09/15.56 inference(resolution,[status(thm)],[f307,f154])).
% 119.09/15.56 fof(f1376,plain,(
% 119.09/15.56 r1_tarski(sK5_skl(sK5_skl(sK6_skl(sK4_skl,sK2_skl,sK1_skl,sK0_skl),sK3_skl,sK2_skl,sK1_skl,sK0_skl),sK4_skl,sK3_skl,sK1_skl,sK0_skl),sK5_skl(sK6_skl(sK4_skl,sK2_skl,sK1_skl,sK0_skl),sK3_skl,sK2_skl,sK1_skl,sK0_skl))),
% 79.05/15.63 inference(resolution,[status(thm)],[f601,f272])).
% 79.05/15.63 fof(f1378,plain,(
% 79.05/15.63 r2_hidden(sK5_skl(sK5_skl(sK6_skl(sK4_skl,sK2_skl,sK1_skl,sK0_skl),sK3_skl,sK2_skl,sK1_skl,sK0_skl),sK4_skl,sK3_skl,sK1_skl,sK0_skl),sK4_skl)),
% 79.05/15.63 inference(resolution,[status(thm)],[f601,f250])).
% 79.05/15.63 fof(f1867,plain,(
% 79.05/15.63 ![X0]: (~r2_hidden(X0,sK4_skl)|~r1_tarski(X0,sK5_skl(sK6_skl(sK4_skl,sK2_skl,sK1_skl,sK0_skl),sK3_skl,sK2_skl,sK1_skl,sK0_skl)))),
% 79.05/15.63 inference(resolution,[status(thm)],[f770,f599])).
% 79.05/15.63 fof(f5003,plain,(
% 79.05/15.63 ~r2_hidden(sK5_skl(sK5_skl(sK6_skl(sK4_skl,sK2_skl,sK1_skl,sK0_skl),sK3_skl,sK2_skl,sK1_skl,sK0_skl),sK4_skl,sK3_skl,sK1_skl,sK0_skl),sK4_skl)),
% 79.05/15.63 inference(resolution,[status(thm)],[f1867,f1376])).
% 79.05/15.63 fof(f5007,plain,(
% 79.05/15.63 $false),
% 79.05/15.63 inference(forward_subsumption_resolution,[status(thm)],[f5003,f1378])).
% 79.05/15.63 % SZS output end CNFRefutation for theBenchmark.p
% 79.05/15.66 % Elapsed time: 15.223504 seconds
% 79.05/15.66 % CPU time: 120.089959 seconds
% 79.05/15.66 % Total memory used: 512.515 MB
% 79.05/15.66 % Net memory used: 473.180 MB
%------------------------------------------------------------------------------