TSTP Solution File: ALG224+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG224+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:11:07 EDT 2024
% Result : Theorem 4.14s 0.88s
% Output : CNFRefutation 4.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG224+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 23:28:06 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 4.14/0.88 % Refutation found
% 4.14/0.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.14/0.88 % SZS output start CNFRefutation for theBenchmark
% 4.14/0.88 fof(f1,conjecture,(
% 4.14/0.88 (! [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) ) ) )) )) )) )),
% 4.14/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.14/0.88 fof(f2,negated_conjecture,(
% 4.14/0.88 ~((! [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) ) ) )) )) )) ))),
% 4.14/0.88 inference(negated_conjecture,[status(cth)],[f1])).
% 4.14/0.88 fof(f9,axiom,(
% 4.14/0.88 (! [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) ) )) )) ) )) )) )),
% 4.14/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.14/0.88 fof(f36,axiom,(
% 4.14/0.88 (! [A,B,C] :( ( r1_tarski(A,B)& r1_tarski(B,C) )=> r1_tarski(A,C) ) )),
% 4.14/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.14/0.88 fof(f44,plain,(
% 4.14/0.88 (?[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))))))))))),
% 4.14/0.88 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 4.14/0.88 fof(f45,plain,(
% 4.14/0.88 (m1_pboole(sk0_1,sk0_0)&(m1_subset_1(sk0_2,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))&(m1_subset_1(sk0_3,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))&(m1_subset_1(sk0_4,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))&((r2_closure3(sk0_0,sk0_1,sk0_2,sk0_3)&r2_closure3(sk0_0,sk0_1,sk0_3,sk0_4))&~r2_closure3(sk0_0,sk0_1,sk0_2,sk0_4))))))),
% 4.14/0.88 inference(skolemization,[status(esa)],[f44])).
% 4.14/0.88 fof(f46,plain,(
% 4.14/0.88 m1_pboole(sk0_1,sk0_0)),
% 4.14/0.88 inference(cnf_transformation,[status(esa)],[f45])).
% 4.14/0.88 fof(f47,plain,(
% 4.14/0.88 m1_subset_1(sk0_2,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))),
% 4.14/0.88 inference(cnf_transformation,[status(esa)],[f45])).
% 4.14/0.88 fof(f48,plain,(
% 4.14/0.88 m1_subset_1(sk0_3,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))),
% 4.14/0.88 inference(cnf_transformation,[status(esa)],[f45])).
% 4.14/0.88 fof(f49,plain,(
% 4.14/0.88 m1_subset_1(sk0_4,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))),
% 4.14/0.88 inference(cnf_transformation,[status(esa)],[f45])).
% 4.14/0.88 fof(f50,plain,(
% 4.14/0.88 r2_closure3(sk0_0,sk0_1,sk0_2,sk0_3)),
% 4.14/0.88 inference(cnf_transformation,[status(esa)],[f45])).
% 4.14/0.88 fof(f51,plain,(
% 4.14/0.88 r2_closure3(sk0_0,sk0_1,sk0_3,sk0_4)),
% 4.14/0.88 inference(cnf_transformation,[status(esa)],[f45])).
% 4.14/0.88 fof(f52,plain,(
% 4.14/0.88 ~r2_closure3(sk0_0,sk0_1,sk0_2,sk0_4)),
% 4.14/0.88 inference(cnf_transformation,[status(esa)],[f45])).
% 4.14/0.88 fof(f67,plain,(
% 4.14/0.88 ![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)))))))))))),
% 4.14/0.88 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 4.14/0.88 fof(f68,plain,(
% 4.14/0.88 ![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))))))))))))),
% 4.14/0.88 inference(NNF_transformation,[status(esa)],[f67])).
% 4.14/0.88 fof(f69,plain,(
% 4.14/0.88 ![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(sk0_5(E,D,C,B,A),D)&r1_tarski(sk0_5(E,D,C,B,A),E)))))&(r2_closure3(A,B,C,D)|(r2_hidden(sk0_6(D,C,B,A),C)&(![F]: (~r2_hidden(F,D)|~r1_tarski(F,sk0_6(D,C,B,A))))))))))))),
% 4.14/0.88 inference(skolemization,[status(esa)],[f68])).
% 4.14/0.88 fof(f70,plain,(
% 4.14/0.88 ![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(sk0_5(X4,X3,X2,X0,X1),X3))),
% 4.14/0.90 inference(cnf_transformation,[status(esa)],[f69])).
% 4.14/0.90 fof(f71,plain,(
% 4.14/0.90 ![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(sk0_5(X4,X3,X2,X0,X1),X4))),
% 4.14/0.90 inference(cnf_transformation,[status(esa)],[f69])).
% 4.14/0.90 fof(f72,plain,(
% 4.14/0.90 ![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(sk0_6(X3,X2,X0,X1),X2))),
% 4.14/0.90 inference(cnf_transformation,[status(esa)],[f69])).
% 4.14/0.90 fof(f73,plain,(
% 4.14/0.90 ![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,sk0_6(X3,X2,X0,X1)))),
% 4.14/0.90 inference(cnf_transformation,[status(esa)],[f69])).
% 4.14/0.90 fof(f152,plain,(
% 4.14/0.90 ![A,B,C]: ((~r1_tarski(A,B)|~r1_tarski(B,C))|r1_tarski(A,C))),
% 4.14/0.90 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 4.14/0.90 fof(f153,plain,(
% 4.14/0.90 ![A,C]: ((![B]: (~r1_tarski(A,B)|~r1_tarski(B,C)))|r1_tarski(A,C))),
% 4.14/0.90 inference(miniscoping,[status(esa)],[f152])).
% 4.14/0.90 fof(f154,plain,(
% 4.14/0.90 ![X0,X1,X2]: (~r1_tarski(X0,X1)|~r1_tarski(X1,X2)|r1_tarski(X0,X2))),
% 4.14/0.90 inference(cnf_transformation,[status(esa)],[f153])).
% 4.14/0.90 fof(f176,plain,(
% 4.14/0.90 spl0_0 <=> m1_pboole(sk0_1,sk0_0)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f178,plain,(
% 4.14/0.90 ~m1_pboole(sk0_1,sk0_0)|spl0_0),
% 4.14/0.90 inference(component_clause,[status(thm)],[f176])).
% 4.14/0.90 fof(f188,plain,(
% 4.14/0.90 $false|spl0_0),
% 4.14/0.90 inference(forward_subsumption_resolution,[status(thm)],[f178,f46])).
% 4.14/0.90 fof(f189,plain,(
% 4.14/0.90 spl0_0),
% 4.14/0.90 inference(contradiction_clause,[status(thm)],[f188])).
% 4.14/0.90 fof(f298,plain,(
% 4.14/0.90 spl0_20 <=> ~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r2_closure3(sk0_0,sk0_1,sk0_3,X0)|~r2_hidden(X1,sk0_3)|r2_hidden(sk0_5(X1,X0,sk0_3,sk0_1,sk0_0),X0)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f299,plain,(
% 4.14/0.90 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r2_closure3(sk0_0,sk0_1,sk0_3,X0)|~r2_hidden(X1,sk0_3)|r2_hidden(sk0_5(X1,X0,sk0_3,sk0_1,sk0_0),X0)|~spl0_20)),
% 4.14/0.90 inference(component_clause,[status(thm)],[f298])).
% 4.14/0.90 fof(f301,plain,(
% 4.14/0.90 ![X0,X1]: (~m1_pboole(sk0_1,sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r2_closure3(sk0_0,sk0_1,sk0_3,X0)|~r2_hidden(X1,sk0_3)|r2_hidden(sk0_5(X1,X0,sk0_3,sk0_1,sk0_0),X0))),
% 4.14/0.90 inference(resolution,[status(thm)],[f70,f48])).
% 4.14/0.90 fof(f302,plain,(
% 4.14/0.90 ~spl0_0|spl0_20),
% 4.14/0.90 inference(split_clause,[status(thm)],[f301,f176,f298])).
% 4.14/0.90 fof(f303,plain,(
% 4.14/0.90 spl0_21 <=> ~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r2_closure3(sk0_0,sk0_1,sk0_2,X0)|~r2_hidden(X1,sk0_2)|r2_hidden(sk0_5(X1,X0,sk0_2,sk0_1,sk0_0),X0)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f304,plain,(
% 4.14/0.90 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r2_closure3(sk0_0,sk0_1,sk0_2,X0)|~r2_hidden(X1,sk0_2)|r2_hidden(sk0_5(X1,X0,sk0_2,sk0_1,sk0_0),X0)|~spl0_21)),
% 4.14/0.90 inference(component_clause,[status(thm)],[f303])).
% 4.14/0.90 fof(f306,plain,(
% 4.14/0.90 ![X0,X1]: (~m1_pboole(sk0_1,sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r2_closure3(sk0_0,sk0_1,sk0_2,X0)|~r2_hidden(X1,sk0_2)|r2_hidden(sk0_5(X1,X0,sk0_2,sk0_1,sk0_0),X0))),
% 4.14/0.90 inference(resolution,[status(thm)],[f70,f47])).
% 4.14/0.90 fof(f307,plain,(
% 4.14/0.90 ~spl0_0|spl0_21),
% 4.14/0.90 inference(split_clause,[status(thm)],[f306,f176,f303])).
% 4.14/0.90 fof(f345,plain,(
% 4.14/0.90 spl0_31 <=> r2_closure3(sk0_0,sk0_1,sk0_3,sk0_4)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f347,plain,(
% 4.14/0.90 ~r2_closure3(sk0_0,sk0_1,sk0_3,sk0_4)|spl0_31),
% 4.14/0.90 inference(component_clause,[status(thm)],[f345])).
% 4.14/0.90 fof(f348,plain,(
% 4.14/0.90 spl0_32 <=> ~r2_hidden(X0,sk0_3)|r2_hidden(sk0_5(X0,sk0_4,sk0_3,sk0_1,sk0_0),sk0_4)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f349,plain,(
% 4.14/0.90 ![X0]: (~r2_hidden(X0,sk0_3)|r2_hidden(sk0_5(X0,sk0_4,sk0_3,sk0_1,sk0_0),sk0_4)|~spl0_32)),
% 4.14/0.90 inference(component_clause,[status(thm)],[f348])).
% 4.14/0.90 fof(f351,plain,(
% 4.14/0.90 ![X0]: (~r2_closure3(sk0_0,sk0_1,sk0_3,sk0_4)|~r2_hidden(X0,sk0_3)|r2_hidden(sk0_5(X0,sk0_4,sk0_3,sk0_1,sk0_0),sk0_4)|~spl0_20)),
% 4.14/0.90 inference(resolution,[status(thm)],[f299,f49])).
% 4.14/0.90 fof(f352,plain,(
% 4.14/0.90 ~spl0_31|spl0_32|~spl0_20),
% 4.14/0.90 inference(split_clause,[status(thm)],[f351,f345,f348,f298])).
% 4.14/0.90 fof(f366,plain,(
% 4.14/0.90 $false|spl0_31),
% 4.14/0.90 inference(forward_subsumption_resolution,[status(thm)],[f347,f51])).
% 4.14/0.90 fof(f367,plain,(
% 4.14/0.90 spl0_31),
% 4.14/0.90 inference(contradiction_clause,[status(thm)],[f366])).
% 4.14/0.90 fof(f376,plain,(
% 4.14/0.90 spl0_38 <=> r2_closure3(sk0_0,sk0_1,sk0_2,sk0_4)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f377,plain,(
% 4.14/0.90 r2_closure3(sk0_0,sk0_1,sk0_2,sk0_4)|~spl0_38),
% 4.14/0.90 inference(component_clause,[status(thm)],[f376])).
% 4.14/0.90 fof(f384,plain,(
% 4.14/0.90 spl0_40 <=> r2_closure3(sk0_0,sk0_1,sk0_2,sk0_3)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f386,plain,(
% 4.14/0.90 ~r2_closure3(sk0_0,sk0_1,sk0_2,sk0_3)|spl0_40),
% 4.14/0.90 inference(component_clause,[status(thm)],[f384])).
% 4.14/0.90 fof(f387,plain,(
% 4.14/0.90 spl0_41 <=> ~r2_hidden(X0,sk0_2)|r2_hidden(sk0_5(X0,sk0_3,sk0_2,sk0_1,sk0_0),sk0_3)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f388,plain,(
% 4.14/0.90 ![X0]: (~r2_hidden(X0,sk0_2)|r2_hidden(sk0_5(X0,sk0_3,sk0_2,sk0_1,sk0_0),sk0_3)|~spl0_41)),
% 4.14/0.90 inference(component_clause,[status(thm)],[f387])).
% 4.14/0.90 fof(f390,plain,(
% 4.14/0.90 ![X0]: (~r2_closure3(sk0_0,sk0_1,sk0_2,sk0_3)|~r2_hidden(X0,sk0_2)|r2_hidden(sk0_5(X0,sk0_3,sk0_2,sk0_1,sk0_0),sk0_3)|~spl0_21)),
% 4.14/0.90 inference(resolution,[status(thm)],[f304,f48])).
% 4.14/0.90 fof(f391,plain,(
% 4.14/0.90 ~spl0_40|spl0_41|~spl0_21),
% 4.14/0.90 inference(split_clause,[status(thm)],[f390,f384,f387,f303])).
% 4.14/0.90 fof(f397,plain,(
% 4.14/0.90 $false|spl0_40),
% 4.14/0.90 inference(forward_subsumption_resolution,[status(thm)],[f386,f50])).
% 4.14/0.90 fof(f398,plain,(
% 4.14/0.90 spl0_40),
% 4.14/0.90 inference(contradiction_clause,[status(thm)],[f397])).
% 4.14/0.90 fof(f478,plain,(
% 4.14/0.90 spl0_55 <=> ~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|r2_closure3(sk0_0,sk0_1,sk0_2,X0)|r2_hidden(sk0_6(X0,sk0_2,sk0_1,sk0_0),sk0_2)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f479,plain,(
% 4.14/0.90 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|r2_closure3(sk0_0,sk0_1,sk0_2,X0)|r2_hidden(sk0_6(X0,sk0_2,sk0_1,sk0_0),sk0_2)|~spl0_55)),
% 4.14/0.90 inference(component_clause,[status(thm)],[f478])).
% 4.14/0.90 fof(f481,plain,(
% 4.14/0.90 ![X0]: (~m1_pboole(sk0_1,sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|r2_closure3(sk0_0,sk0_1,sk0_2,X0)|r2_hidden(sk0_6(X0,sk0_2,sk0_1,sk0_0),sk0_2))),
% 4.14/0.90 inference(resolution,[status(thm)],[f72,f47])).
% 4.14/0.90 fof(f482,plain,(
% 4.14/0.90 ~spl0_0|spl0_55),
% 4.14/0.90 inference(split_clause,[status(thm)],[f481,f176,f478])).
% 4.14/0.90 fof(f548,plain,(
% 4.14/0.90 spl0_67 <=> r2_hidden(sk0_6(sk0_4,sk0_2,sk0_1,sk0_0),sk0_2)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f549,plain,(
% 4.14/0.90 r2_hidden(sk0_6(sk0_4,sk0_2,sk0_1,sk0_0),sk0_2)|~spl0_67),
% 4.14/0.90 inference(component_clause,[status(thm)],[f548])).
% 4.14/0.90 fof(f551,plain,(
% 4.14/0.90 r2_closure3(sk0_0,sk0_1,sk0_2,sk0_4)|r2_hidden(sk0_6(sk0_4,sk0_2,sk0_1,sk0_0),sk0_2)|~spl0_55),
% 4.14/0.90 inference(resolution,[status(thm)],[f479,f49])).
% 4.14/0.90 fof(f552,plain,(
% 4.14/0.90 spl0_38|spl0_67|~spl0_55),
% 4.14/0.90 inference(split_clause,[status(thm)],[f551,f376,f548,f478])).
% 4.14/0.90 fof(f599,plain,(
% 4.14/0.90 r2_hidden(sk0_5(sk0_6(sk0_4,sk0_2,sk0_1,sk0_0),sk0_3,sk0_2,sk0_1,sk0_0),sk0_3)|~spl0_67|~spl0_41),
% 4.14/0.90 inference(resolution,[status(thm)],[f549,f388])).
% 4.14/0.90 fof(f688,plain,(
% 4.14/0.90 r2_hidden(sk0_5(sk0_5(sk0_6(sk0_4,sk0_2,sk0_1,sk0_0),sk0_3,sk0_2,sk0_1,sk0_0),sk0_4,sk0_3,sk0_1,sk0_0),sk0_4)|~spl0_67|~spl0_41|~spl0_32),
% 4.14/0.90 inference(resolution,[status(thm)],[f599,f349])).
% 4.14/0.90 fof(f781,plain,(
% 4.14/0.90 spl0_72 <=> ~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r2_closure3(sk0_0,sk0_1,sk0_3,X0)|~r2_hidden(X1,sk0_3)|r1_tarski(sk0_5(X1,X0,sk0_3,sk0_1,sk0_0),X1)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f782,plain,(
% 4.14/0.90 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r2_closure3(sk0_0,sk0_1,sk0_3,X0)|~r2_hidden(X1,sk0_3)|r1_tarski(sk0_5(X1,X0,sk0_3,sk0_1,sk0_0),X1)|~spl0_72)),
% 4.14/0.90 inference(component_clause,[status(thm)],[f781])).
% 4.14/0.90 fof(f784,plain,(
% 4.14/0.90 ![X0,X1]: (~m1_pboole(sk0_1,sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r2_closure3(sk0_0,sk0_1,sk0_3,X0)|~r2_hidden(X1,sk0_3)|r1_tarski(sk0_5(X1,X0,sk0_3,sk0_1,sk0_0),X1))),
% 4.14/0.90 inference(resolution,[status(thm)],[f71,f48])).
% 4.14/0.90 fof(f785,plain,(
% 4.14/0.90 ~spl0_0|spl0_72),
% 4.14/0.90 inference(split_clause,[status(thm)],[f784,f176,f781])).
% 4.14/0.90 fof(f786,plain,(
% 4.14/0.90 spl0_73 <=> ~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r2_closure3(sk0_0,sk0_1,sk0_2,X0)|~r2_hidden(X1,sk0_2)|r1_tarski(sk0_5(X1,X0,sk0_2,sk0_1,sk0_0),X1)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f787,plain,(
% 4.14/0.90 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r2_closure3(sk0_0,sk0_1,sk0_2,X0)|~r2_hidden(X1,sk0_2)|r1_tarski(sk0_5(X1,X0,sk0_2,sk0_1,sk0_0),X1)|~spl0_73)),
% 4.14/0.90 inference(component_clause,[status(thm)],[f786])).
% 4.14/0.90 fof(f789,plain,(
% 4.14/0.90 ![X0,X1]: (~m1_pboole(sk0_1,sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r2_closure3(sk0_0,sk0_1,sk0_2,X0)|~r2_hidden(X1,sk0_2)|r1_tarski(sk0_5(X1,X0,sk0_2,sk0_1,sk0_0),X1))),
% 4.14/0.90 inference(resolution,[status(thm)],[f71,f47])).
% 4.14/0.90 fof(f790,plain,(
% 4.14/0.90 ~spl0_0|spl0_73),
% 4.14/0.90 inference(split_clause,[status(thm)],[f789,f176,f786])).
% 4.14/0.90 fof(f1003,plain,(
% 4.14/0.90 spl0_86 <=> ~r2_hidden(X0,sk0_3)|r1_tarski(sk0_5(X0,sk0_4,sk0_3,sk0_1,sk0_0),X0)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f1004,plain,(
% 4.14/0.90 ![X0]: (~r2_hidden(X0,sk0_3)|r1_tarski(sk0_5(X0,sk0_4,sk0_3,sk0_1,sk0_0),X0)|~spl0_86)),
% 4.14/0.90 inference(component_clause,[status(thm)],[f1003])).
% 4.14/0.90 fof(f1006,plain,(
% 4.14/0.90 ![X0]: (~r2_closure3(sk0_0,sk0_1,sk0_3,sk0_4)|~r2_hidden(X0,sk0_3)|r1_tarski(sk0_5(X0,sk0_4,sk0_3,sk0_1,sk0_0),X0)|~spl0_72)),
% 4.14/0.90 inference(resolution,[status(thm)],[f782,f49])).
% 4.14/0.90 fof(f1007,plain,(
% 4.14/0.90 ~spl0_31|spl0_86|~spl0_72),
% 4.14/0.90 inference(split_clause,[status(thm)],[f1006,f345,f1003,f781])).
% 4.14/0.90 fof(f1054,plain,(
% 4.14/0.90 r1_tarski(sk0_5(sk0_5(sk0_6(sk0_4,sk0_2,sk0_1,sk0_0),sk0_3,sk0_2,sk0_1,sk0_0),sk0_4,sk0_3,sk0_1,sk0_0),sk0_5(sk0_6(sk0_4,sk0_2,sk0_1,sk0_0),sk0_3,sk0_2,sk0_1,sk0_0))|~spl0_86|~spl0_67|~spl0_41),
% 4.14/0.90 inference(resolution,[status(thm)],[f1004,f599])).
% 4.14/0.90 fof(f1098,plain,(
% 4.14/0.90 spl0_91 <=> m1_subset_1(sk0_2,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f1100,plain,(
% 4.14/0.90 ~m1_subset_1(sk0_2,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|spl0_91),
% 4.14/0.90 inference(component_clause,[status(thm)],[f1098])).
% 4.14/0.90 fof(f1142,plain,(
% 4.14/0.90 spl0_96 <=> ~r2_hidden(X0,sk0_2)|r1_tarski(sk0_5(X0,sk0_3,sk0_2,sk0_1,sk0_0),X0)),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f1143,plain,(
% 4.14/0.90 ![X0]: (~r2_hidden(X0,sk0_2)|r1_tarski(sk0_5(X0,sk0_3,sk0_2,sk0_1,sk0_0),X0)|~spl0_96)),
% 4.14/0.90 inference(component_clause,[status(thm)],[f1142])).
% 4.14/0.90 fof(f1145,plain,(
% 4.14/0.90 ![X0]: (~r2_closure3(sk0_0,sk0_1,sk0_2,sk0_3)|~r2_hidden(X0,sk0_2)|r1_tarski(sk0_5(X0,sk0_3,sk0_2,sk0_1,sk0_0),X0)|~spl0_73)),
% 4.14/0.90 inference(resolution,[status(thm)],[f787,f48])).
% 4.14/0.90 fof(f1146,plain,(
% 4.14/0.90 ~spl0_40|spl0_96|~spl0_73),
% 4.14/0.90 inference(split_clause,[status(thm)],[f1145,f384,f1142,f786])).
% 4.14/0.90 fof(f1224,plain,(
% 4.14/0.90 r1_tarski(sk0_5(sk0_6(sk0_4,sk0_2,sk0_1,sk0_0),sk0_3,sk0_2,sk0_1,sk0_0),sk0_6(sk0_4,sk0_2,sk0_1,sk0_0))|~spl0_96|~spl0_67),
% 4.14/0.90 inference(resolution,[status(thm)],[f1143,f549])).
% 4.14/0.90 fof(f1258,plain,(
% 4.14/0.90 spl0_105 <=> m1_subset_1(sk0_4,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))),
% 4.14/0.90 introduced(split_symbol_definition)).
% 4.14/0.90 fof(f1260,plain,(
% 4.14/0.90 ~m1_subset_1(sk0_4,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|spl0_105),
% 4.14/0.90 inference(component_clause,[status(thm)],[f1258])).
% 4.14/0.90 fof(f1266,plain,(
% 4.14/0.90 ![X0]: (~r1_tarski(X0,sk0_5(sk0_6(sk0_4,sk0_2,sk0_1,sk0_0),sk0_3,sk0_2,sk0_1,sk0_0))|r1_tarski(X0,sk0_6(sk0_4,sk0_2,sk0_1,sk0_0))|~spl0_96|~spl0_67)),
% 4.14/0.90 inference(resolution,[status(thm)],[f1224,f154])).
% 4.14/0.90 fof(f1268,plain,(
% 4.14/0.90 $false|~spl0_38),
% 4.14/0.90 inference(forward_subsumption_resolution,[status(thm)],[f377,f52])).
% 4.14/0.90 fof(f1269,plain,(
% 4.14/0.90 ~spl0_38),
% 4.14/0.90 inference(contradiction_clause,[status(thm)],[f1268])).
% 4.14/0.90 fof(f2669,plain,(
% 4.14/0.90 r1_tarski(sk0_5(sk0_5(sk0_6(sk0_4,sk0_2,sk0_1,sk0_0),sk0_3,sk0_2,sk0_1,sk0_0),sk0_4,sk0_3,sk0_1,sk0_0),sk0_6(sk0_4,sk0_2,sk0_1,sk0_0))|~spl0_86|~spl0_41|~spl0_96|~spl0_67),
% 4.14/0.90 inference(resolution,[status(thm)],[f1054,f1266])).
% 4.14/0.90 fof(f2672,plain,(
% 4.14/0.90 spl0_245 <=> r2_hidden(sk0_5(sk0_5(sk0_6(sk0_4,sk0_2,sk0_1,sk0_0),sk0_3,sk0_2,sk0_1,sk0_0),sk0_4,sk0_3,sk0_1,sk0_0),sk0_4)),
% 4.37/0.90 introduced(split_symbol_definition)).
% 4.37/0.90 fof(f2674,plain,(
% 4.37/0.90 ~r2_hidden(sk0_5(sk0_5(sk0_6(sk0_4,sk0_2,sk0_1,sk0_0),sk0_3,sk0_2,sk0_1,sk0_0),sk0_4,sk0_3,sk0_1,sk0_0),sk0_4)|spl0_245),
% 4.37/0.90 inference(component_clause,[status(thm)],[f2672])).
% 4.37/0.90 fof(f2675,plain,(
% 4.37/0.90 ~m1_pboole(sk0_1,sk0_0)|~m1_subset_1(sk0_2,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~m1_subset_1(sk0_4,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|r2_closure3(sk0_0,sk0_1,sk0_2,sk0_4)|~r2_hidden(sk0_5(sk0_5(sk0_6(sk0_4,sk0_2,sk0_1,sk0_0),sk0_3,sk0_2,sk0_1,sk0_0),sk0_4,sk0_3,sk0_1,sk0_0),sk0_4)|~spl0_86|~spl0_41|~spl0_96|~spl0_67),
% 4.37/0.90 inference(resolution,[status(thm)],[f2669,f73])).
% 4.37/0.90 fof(f2676,plain,(
% 4.37/0.90 ~spl0_0|~spl0_91|~spl0_105|spl0_38|~spl0_245|~spl0_86|~spl0_41|~spl0_96|~spl0_67),
% 4.37/0.90 inference(split_clause,[status(thm)],[f2675,f176,f1098,f1258,f376,f2672,f1003,f387,f1142,f548])).
% 4.37/0.90 fof(f2679,plain,(
% 4.37/0.90 $false|~spl0_67|~spl0_41|~spl0_32|spl0_245),
% 4.37/0.90 inference(forward_subsumption_resolution,[status(thm)],[f2674,f688])).
% 4.37/0.90 fof(f2680,plain,(
% 4.37/0.90 ~spl0_67|~spl0_41|~spl0_32|spl0_245),
% 4.37/0.90 inference(contradiction_clause,[status(thm)],[f2679])).
% 4.37/0.90 fof(f2681,plain,(
% 4.37/0.90 $false|spl0_105),
% 4.37/0.90 inference(forward_subsumption_resolution,[status(thm)],[f1260,f49])).
% 4.37/0.90 fof(f2682,plain,(
% 4.37/0.90 spl0_105),
% 4.37/0.90 inference(contradiction_clause,[status(thm)],[f2681])).
% 4.37/0.90 fof(f2683,plain,(
% 4.37/0.90 $false|spl0_91),
% 4.37/0.90 inference(forward_subsumption_resolution,[status(thm)],[f1100,f47])).
% 4.37/0.90 fof(f2684,plain,(
% 4.37/0.90 spl0_91),
% 4.37/0.90 inference(contradiction_clause,[status(thm)],[f2683])).
% 4.37/0.90 fof(f2685,plain,(
% 4.37/0.90 $false),
% 4.37/0.90 inference(sat_refutation,[status(thm)],[f189,f302,f307,f352,f367,f391,f398,f482,f552,f785,f790,f1007,f1146,f1269,f2676,f2680,f2682,f2684])).
% 4.37/0.90 % SZS output end CNFRefutation for theBenchmark.p
% 4.37/0.92 % Elapsed time: 0.572841 seconds
% 4.37/0.92 % CPU time: 4.419480 seconds
% 4.37/0.92 % Total memory used: 108.538 MB
% 4.37/0.92 % Net memory used: 106.883 MB
%------------------------------------------------------------------------------