TSTP Solution File: ALG223+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG223+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:11:06 EDT 2024
% Result : Theorem 0.16s 0.43s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG223+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n032.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 23:34:35 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.16/0.43 % Refutation found
% 0.16/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.43 fof(f1,conjecture,(
% 0.16/0.43 (! [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)))=> ( ( r1_closure3(A,B,D,C)& r1_closure3(A,B,E,D) )=> r1_closure3(A,B,E,C) ) ) )) )) )) )),
% 0.16/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f2,negated_conjecture,(
% 0.16/0.43 ~((! [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)))=> ( ( r1_closure3(A,B,D,C)& r1_closure3(A,B,E,D) )=> r1_closure3(A,B,E,C) ) ) )) )) )) ))),
% 0.16/0.43 inference(negated_conjecture,[status(cth)],[f1])).
% 0.16/0.43 fof(f9,axiom,(
% 0.16/0.43 (! [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)))=> ( r1_closure3(A,B,C,D)<=> (! [E] :~ ( r2_hidden(E,D)& (! [F] :~ ( r2_hidden(F,C)& r1_tarski(E,F) ) )) )) ) )) )) )),
% 0.16/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f36,axiom,(
% 0.16/0.43 (! [A,B,C] :( ( r1_tarski(A,B)& r1_tarski(B,C) )=> r1_tarski(A,C) ) )),
% 0.16/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.43 fof(f44,plain,(
% 0.16/0.43 (?[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)))&((r1_closure3(A,B,D,C)&r1_closure3(A,B,E,D))&~r1_closure3(A,B,E,C))))))))))),
% 0.16/0.43 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.16/0.43 fof(f45,plain,(
% 0.16/0.43 (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)))&((r1_closure3(sk0_0,sk0_1,sk0_3,sk0_2)&r1_closure3(sk0_0,sk0_1,sk0_4,sk0_3))&~r1_closure3(sk0_0,sk0_1,sk0_4,sk0_2))))))),
% 0.16/0.43 inference(skolemization,[status(esa)],[f44])).
% 0.16/0.43 fof(f46,plain,(
% 0.16/0.43 m1_pboole(sk0_1,sk0_0)),
% 0.16/0.43 inference(cnf_transformation,[status(esa)],[f45])).
% 0.16/0.43 fof(f47,plain,(
% 0.16/0.43 m1_subset_1(sk0_2,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))),
% 0.16/0.43 inference(cnf_transformation,[status(esa)],[f45])).
% 0.16/0.43 fof(f48,plain,(
% 0.16/0.43 m1_subset_1(sk0_3,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))),
% 0.16/0.43 inference(cnf_transformation,[status(esa)],[f45])).
% 0.16/0.43 fof(f49,plain,(
% 0.16/0.43 m1_subset_1(sk0_4,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))),
% 0.16/0.43 inference(cnf_transformation,[status(esa)],[f45])).
% 0.16/0.43 fof(f50,plain,(
% 0.16/0.43 r1_closure3(sk0_0,sk0_1,sk0_3,sk0_2)),
% 0.16/0.43 inference(cnf_transformation,[status(esa)],[f45])).
% 0.16/0.43 fof(f51,plain,(
% 0.16/0.43 r1_closure3(sk0_0,sk0_1,sk0_4,sk0_3)),
% 0.16/0.43 inference(cnf_transformation,[status(esa)],[f45])).
% 0.16/0.43 fof(f52,plain,(
% 0.16/0.43 ~r1_closure3(sk0_0,sk0_1,sk0_4,sk0_2)),
% 0.16/0.43 inference(cnf_transformation,[status(esa)],[f45])).
% 0.16/0.43 fof(f67,plain,(
% 0.16/0.43 ![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)))|(r1_closure3(A,B,C,D)<=>(![E]: (~r2_hidden(E,D)|(?[F]: (r2_hidden(F,C)&r1_tarski(E,F)))))))))))),
% 0.16/0.43 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.16/0.43 fof(f68,plain,(
% 0.16/0.43 ![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)))|((~r1_closure3(A,B,C,D)|(![E]: (~r2_hidden(E,D)|(?[F]: (r2_hidden(F,C)&r1_tarski(E,F))))))&(r1_closure3(A,B,C,D)|(?[E]: (r2_hidden(E,D)&(![F]: (~r2_hidden(F,C)|~r1_tarski(E,F))))))))))))),
% 0.16/0.43 inference(NNF_transformation,[status(esa)],[f67])).
% 0.16/0.43 fof(f69,plain,(
% 0.16/0.43 ![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)))|((~r1_closure3(A,B,C,D)|(![E]: (~r2_hidden(E,D)|(r2_hidden(sk0_5(E,D,C,B,A),C)&r1_tarski(E,sk0_5(E,D,C,B,A))))))&(r1_closure3(A,B,C,D)|(r2_hidden(sk0_6(D,C,B,A),D)&(![F]: (~r2_hidden(F,C)|~r1_tarski(sk0_6(D,C,B,A),F)))))))))))),
% 0.16/0.43 inference(skolemization,[status(esa)],[f68])).
% 0.16/0.43 fof(f70,plain,(
% 0.16/0.43 ![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)))|~r1_closure3(X1,X0,X2,X3)|~r2_hidden(X4,X3)|r2_hidden(sk0_5(X4,X3,X2,X0,X1),X2))),
% 0.16/0.43 inference(cnf_transformation,[status(esa)],[f69])).
% 0.16/0.43 fof(f71,plain,(
% 0.16/0.43 ![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)))|~r1_closure3(X1,X0,X2,X3)|~r2_hidden(X4,X3)|r1_tarski(X4,sk0_5(X4,X3,X2,X0,X1)))),
% 0.16/0.43 inference(cnf_transformation,[status(esa)],[f69])).
% 0.16/0.43 fof(f72,plain,(
% 0.16/0.43 ![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)))|r1_closure3(X1,X0,X2,X3)|r2_hidden(sk0_6(X3,X2,X0,X1),X3))),
% 0.16/0.43 inference(cnf_transformation,[status(esa)],[f69])).
% 0.16/0.43 fof(f73,plain,(
% 0.16/0.43 ![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)))|r1_closure3(X1,X0,X2,X3)|~r2_hidden(X4,X2)|~r1_tarski(sk0_6(X3,X2,X0,X1),X4))),
% 0.16/0.43 inference(cnf_transformation,[status(esa)],[f69])).
% 0.16/0.43 fof(f152,plain,(
% 0.16/0.43 ![A,B,C]: ((~r1_tarski(A,B)|~r1_tarski(B,C))|r1_tarski(A,C))),
% 0.16/0.43 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.16/0.43 fof(f153,plain,(
% 0.16/0.43 ![A,C]: ((![B]: (~r1_tarski(A,B)|~r1_tarski(B,C)))|r1_tarski(A,C))),
% 0.16/0.43 inference(miniscoping,[status(esa)],[f152])).
% 0.16/0.43 fof(f154,plain,(
% 0.16/0.43 ![X0,X1,X2]: (~r1_tarski(X0,X1)|~r1_tarski(X1,X2)|r1_tarski(X0,X2))),
% 0.16/0.43 inference(cnf_transformation,[status(esa)],[f153])).
% 0.16/0.43 fof(f176,plain,(
% 0.16/0.43 spl0_0 <=> m1_pboole(sk0_1,sk0_0)),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f178,plain,(
% 0.16/0.43 ~m1_pboole(sk0_1,sk0_0)|spl0_0),
% 0.16/0.43 inference(component_clause,[status(thm)],[f176])).
% 0.16/0.43 fof(f186,plain,(
% 0.16/0.43 $false|spl0_0),
% 0.16/0.43 inference(forward_subsumption_resolution,[status(thm)],[f178,f46])).
% 0.16/0.43 fof(f187,plain,(
% 0.16/0.43 spl0_0),
% 0.16/0.43 inference(contradiction_clause,[status(thm)],[f186])).
% 0.16/0.43 fof(f262,plain,(
% 0.16/0.43 spl0_14 <=> ~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r1_closure3(sk0_0,sk0_1,sk0_4,X0)|~r2_hidden(X1,X0)|r2_hidden(sk0_5(X1,X0,sk0_4,sk0_1,sk0_0),sk0_4)),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f263,plain,(
% 0.16/0.43 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r1_closure3(sk0_0,sk0_1,sk0_4,X0)|~r2_hidden(X1,X0)|r2_hidden(sk0_5(X1,X0,sk0_4,sk0_1,sk0_0),sk0_4)|~spl0_14)),
% 0.16/0.43 inference(component_clause,[status(thm)],[f262])).
% 0.16/0.43 fof(f265,plain,(
% 0.16/0.43 ![X0,X1]: (~m1_pboole(sk0_1,sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r1_closure3(sk0_0,sk0_1,sk0_4,X0)|~r2_hidden(X1,X0)|r2_hidden(sk0_5(X1,X0,sk0_4,sk0_1,sk0_0),sk0_4))),
% 0.16/0.43 inference(resolution,[status(thm)],[f70,f49])).
% 0.16/0.43 fof(f266,plain,(
% 0.16/0.43 ~spl0_0|spl0_14),
% 0.16/0.43 inference(split_clause,[status(thm)],[f265,f176,f262])).
% 0.16/0.43 fof(f267,plain,(
% 0.16/0.43 spl0_15 <=> ~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r1_closure3(sk0_0,sk0_1,sk0_3,X0)|~r2_hidden(X1,X0)|r2_hidden(sk0_5(X1,X0,sk0_3,sk0_1,sk0_0),sk0_3)),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f268,plain,(
% 0.16/0.43 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r1_closure3(sk0_0,sk0_1,sk0_3,X0)|~r2_hidden(X1,X0)|r2_hidden(sk0_5(X1,X0,sk0_3,sk0_1,sk0_0),sk0_3)|~spl0_15)),
% 0.16/0.43 inference(component_clause,[status(thm)],[f267])).
% 0.16/0.43 fof(f270,plain,(
% 0.16/0.43 ![X0,X1]: (~m1_pboole(sk0_1,sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r1_closure3(sk0_0,sk0_1,sk0_3,X0)|~r2_hidden(X1,X0)|r2_hidden(sk0_5(X1,X0,sk0_3,sk0_1,sk0_0),sk0_3))),
% 0.16/0.43 inference(resolution,[status(thm)],[f70,f48])).
% 0.16/0.43 fof(f271,plain,(
% 0.16/0.43 ~spl0_0|spl0_15),
% 0.16/0.43 inference(split_clause,[status(thm)],[f270,f176,f267])).
% 0.16/0.43 fof(f285,plain,(
% 0.16/0.43 spl0_19 <=> r1_closure3(sk0_0,sk0_1,sk0_4,sk0_3)),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f287,plain,(
% 0.16/0.43 ~r1_closure3(sk0_0,sk0_1,sk0_4,sk0_3)|spl0_19),
% 0.16/0.43 inference(component_clause,[status(thm)],[f285])).
% 0.16/0.43 fof(f288,plain,(
% 0.16/0.43 spl0_20 <=> ~r2_hidden(X0,sk0_3)|r2_hidden(sk0_5(X0,sk0_3,sk0_4,sk0_1,sk0_0),sk0_4)),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f289,plain,(
% 0.16/0.43 ![X0]: (~r2_hidden(X0,sk0_3)|r2_hidden(sk0_5(X0,sk0_3,sk0_4,sk0_1,sk0_0),sk0_4)|~spl0_20)),
% 0.16/0.43 inference(component_clause,[status(thm)],[f288])).
% 0.16/0.43 fof(f291,plain,(
% 0.16/0.43 ![X0]: (~r1_closure3(sk0_0,sk0_1,sk0_4,sk0_3)|~r2_hidden(X0,sk0_3)|r2_hidden(sk0_5(X0,sk0_3,sk0_4,sk0_1,sk0_0),sk0_4)|~spl0_14)),
% 0.16/0.43 inference(resolution,[status(thm)],[f263,f48])).
% 0.16/0.43 fof(f292,plain,(
% 0.16/0.43 ~spl0_19|spl0_20|~spl0_14),
% 0.16/0.43 inference(split_clause,[status(thm)],[f291,f285,f288,f262])).
% 0.16/0.43 fof(f293,plain,(
% 0.16/0.43 spl0_21 <=> r1_closure3(sk0_0,sk0_1,sk0_4,sk0_2)),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f294,plain,(
% 0.16/0.43 r1_closure3(sk0_0,sk0_1,sk0_4,sk0_2)|~spl0_21),
% 0.16/0.43 inference(component_clause,[status(thm)],[f293])).
% 0.16/0.43 fof(f303,plain,(
% 0.16/0.43 $false|spl0_19),
% 0.16/0.43 inference(forward_subsumption_resolution,[status(thm)],[f287,f51])).
% 0.16/0.43 fof(f304,plain,(
% 0.16/0.43 spl0_19),
% 0.16/0.43 inference(contradiction_clause,[status(thm)],[f303])).
% 0.16/0.43 fof(f321,plain,(
% 0.16/0.43 spl0_27 <=> r1_closure3(sk0_0,sk0_1,sk0_3,sk0_2)),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f323,plain,(
% 0.16/0.43 ~r1_closure3(sk0_0,sk0_1,sk0_3,sk0_2)|spl0_27),
% 0.16/0.43 inference(component_clause,[status(thm)],[f321])).
% 0.16/0.43 fof(f324,plain,(
% 0.16/0.43 spl0_28 <=> ~r2_hidden(X0,sk0_2)|r2_hidden(sk0_5(X0,sk0_2,sk0_3,sk0_1,sk0_0),sk0_3)),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f325,plain,(
% 0.16/0.43 ![X0]: (~r2_hidden(X0,sk0_2)|r2_hidden(sk0_5(X0,sk0_2,sk0_3,sk0_1,sk0_0),sk0_3)|~spl0_28)),
% 0.16/0.43 inference(component_clause,[status(thm)],[f324])).
% 0.16/0.43 fof(f327,plain,(
% 0.16/0.43 ![X0]: (~r1_closure3(sk0_0,sk0_1,sk0_3,sk0_2)|~r2_hidden(X0,sk0_2)|r2_hidden(sk0_5(X0,sk0_2,sk0_3,sk0_1,sk0_0),sk0_3)|~spl0_15)),
% 0.16/0.43 inference(resolution,[status(thm)],[f268,f47])).
% 0.16/0.43 fof(f328,plain,(
% 0.16/0.43 ~spl0_27|spl0_28|~spl0_15),
% 0.16/0.43 inference(split_clause,[status(thm)],[f327,f321,f324,f267])).
% 0.16/0.43 fof(f331,plain,(
% 0.16/0.43 $false|spl0_27),
% 0.16/0.43 inference(forward_subsumption_resolution,[status(thm)],[f323,f50])).
% 0.16/0.43 fof(f332,plain,(
% 0.16/0.43 spl0_27),
% 0.16/0.43 inference(contradiction_clause,[status(thm)],[f331])).
% 0.16/0.43 fof(f473,plain,(
% 0.16/0.43 spl0_51 <=> ~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r1_closure3(sk0_0,sk0_1,sk0_4,X0)|~r2_hidden(X1,X0)|r1_tarski(X1,sk0_5(X1,X0,sk0_4,sk0_1,sk0_0))),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f474,plain,(
% 0.16/0.43 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r1_closure3(sk0_0,sk0_1,sk0_4,X0)|~r2_hidden(X1,X0)|r1_tarski(X1,sk0_5(X1,X0,sk0_4,sk0_1,sk0_0))|~spl0_51)),
% 0.16/0.43 inference(component_clause,[status(thm)],[f473])).
% 0.16/0.43 fof(f476,plain,(
% 0.16/0.43 ![X0,X1]: (~m1_pboole(sk0_1,sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r1_closure3(sk0_0,sk0_1,sk0_4,X0)|~r2_hidden(X1,X0)|r1_tarski(X1,sk0_5(X1,X0,sk0_4,sk0_1,sk0_0)))),
% 0.16/0.43 inference(resolution,[status(thm)],[f71,f49])).
% 0.16/0.43 fof(f477,plain,(
% 0.16/0.43 ~spl0_0|spl0_51),
% 0.16/0.43 inference(split_clause,[status(thm)],[f476,f176,f473])).
% 0.16/0.43 fof(f478,plain,(
% 0.16/0.43 spl0_52 <=> ~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r1_closure3(sk0_0,sk0_1,sk0_3,X0)|~r2_hidden(X1,X0)|r1_tarski(X1,sk0_5(X1,X0,sk0_3,sk0_1,sk0_0))),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f479,plain,(
% 0.16/0.43 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r1_closure3(sk0_0,sk0_1,sk0_3,X0)|~r2_hidden(X1,X0)|r1_tarski(X1,sk0_5(X1,X0,sk0_3,sk0_1,sk0_0))|~spl0_52)),
% 0.16/0.43 inference(component_clause,[status(thm)],[f478])).
% 0.16/0.43 fof(f481,plain,(
% 0.16/0.43 ![X0,X1]: (~m1_pboole(sk0_1,sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~r1_closure3(sk0_0,sk0_1,sk0_3,X0)|~r2_hidden(X1,X0)|r1_tarski(X1,sk0_5(X1,X0,sk0_3,sk0_1,sk0_0)))),
% 0.16/0.43 inference(resolution,[status(thm)],[f71,f48])).
% 0.16/0.43 fof(f482,plain,(
% 0.16/0.43 ~spl0_0|spl0_52),
% 0.16/0.43 inference(split_clause,[status(thm)],[f481,f176,f478])).
% 0.16/0.43 fof(f490,plain,(
% 0.16/0.43 spl0_54 <=> ~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|r1_closure3(sk0_0,sk0_1,sk0_4,X0)|r2_hidden(sk0_6(X0,sk0_4,sk0_1,sk0_0),X0)),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f491,plain,(
% 0.16/0.43 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|r1_closure3(sk0_0,sk0_1,sk0_4,X0)|r2_hidden(sk0_6(X0,sk0_4,sk0_1,sk0_0),X0)|~spl0_54)),
% 0.16/0.43 inference(component_clause,[status(thm)],[f490])).
% 0.16/0.43 fof(f493,plain,(
% 0.16/0.43 ![X0]: (~m1_pboole(sk0_1,sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|r1_closure3(sk0_0,sk0_1,sk0_4,X0)|r2_hidden(sk0_6(X0,sk0_4,sk0_1,sk0_0),X0))),
% 0.16/0.43 inference(resolution,[status(thm)],[f72,f49])).
% 0.16/0.43 fof(f494,plain,(
% 0.16/0.43 ~spl0_0|spl0_54),
% 0.16/0.43 inference(split_clause,[status(thm)],[f493,f176,f490])).
% 0.16/0.43 fof(f549,plain,(
% 0.16/0.43 spl0_60 <=> ~r2_hidden(X0,sk0_3)|r1_tarski(X0,sk0_5(X0,sk0_3,sk0_4,sk0_1,sk0_0))),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f550,plain,(
% 0.16/0.43 ![X0]: (~r2_hidden(X0,sk0_3)|r1_tarski(X0,sk0_5(X0,sk0_3,sk0_4,sk0_1,sk0_0))|~spl0_60)),
% 0.16/0.43 inference(component_clause,[status(thm)],[f549])).
% 0.16/0.43 fof(f552,plain,(
% 0.16/0.43 ![X0]: (~r1_closure3(sk0_0,sk0_1,sk0_4,sk0_3)|~r2_hidden(X0,sk0_3)|r1_tarski(X0,sk0_5(X0,sk0_3,sk0_4,sk0_1,sk0_0))|~spl0_51)),
% 0.16/0.43 inference(resolution,[status(thm)],[f474,f48])).
% 0.16/0.43 fof(f553,plain,(
% 0.16/0.43 ~spl0_19|spl0_60|~spl0_51),
% 0.16/0.43 inference(split_clause,[status(thm)],[f552,f285,f549,f473])).
% 0.16/0.43 fof(f579,plain,(
% 0.16/0.43 spl0_66 <=> r2_hidden(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_2)),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f580,plain,(
% 0.16/0.43 r2_hidden(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_2)|~spl0_66),
% 0.16/0.43 inference(component_clause,[status(thm)],[f579])).
% 0.16/0.43 fof(f582,plain,(
% 0.16/0.43 r1_closure3(sk0_0,sk0_1,sk0_4,sk0_2)|r2_hidden(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_2)|~spl0_54),
% 0.16/0.43 inference(resolution,[status(thm)],[f491,f47])).
% 0.16/0.43 fof(f583,plain,(
% 0.16/0.43 spl0_21|spl0_66|~spl0_54),
% 0.16/0.43 inference(split_clause,[status(thm)],[f582,f293,f579,f490])).
% 0.16/0.43 fof(f584,plain,(
% 0.16/0.43 $false|~spl0_21),
% 0.16/0.43 inference(forward_subsumption_resolution,[status(thm)],[f294,f52])).
% 0.16/0.43 fof(f585,plain,(
% 0.16/0.43 ~spl0_21),
% 0.16/0.43 inference(contradiction_clause,[status(thm)],[f584])).
% 0.16/0.43 fof(f587,plain,(
% 0.16/0.43 r2_hidden(sk0_5(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_2,sk0_3,sk0_1,sk0_0),sk0_3)|~spl0_66|~spl0_28),
% 0.16/0.43 inference(resolution,[status(thm)],[f580,f325])).
% 0.16/0.43 fof(f601,plain,(
% 0.16/0.43 r1_tarski(sk0_5(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_2,sk0_3,sk0_1,sk0_0),sk0_5(sk0_5(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_2,sk0_3,sk0_1,sk0_0),sk0_3,sk0_4,sk0_1,sk0_0))|~spl0_66|~spl0_28|~spl0_60),
% 0.16/0.43 inference(resolution,[status(thm)],[f587,f550])).
% 0.16/0.43 fof(f603,plain,(
% 0.16/0.43 r2_hidden(sk0_5(sk0_5(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_2,sk0_3,sk0_1,sk0_0),sk0_3,sk0_4,sk0_1,sk0_0),sk0_4)|~spl0_66|~spl0_28|~spl0_20),
% 0.16/0.43 inference(resolution,[status(thm)],[f587,f289])).
% 0.16/0.43 fof(f630,plain,(
% 0.16/0.43 spl0_71 <=> ~r2_hidden(X0,sk0_2)|r1_tarski(X0,sk0_5(X0,sk0_2,sk0_3,sk0_1,sk0_0))),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f631,plain,(
% 0.16/0.43 ![X0]: (~r2_hidden(X0,sk0_2)|r1_tarski(X0,sk0_5(X0,sk0_2,sk0_3,sk0_1,sk0_0))|~spl0_71)),
% 0.16/0.43 inference(component_clause,[status(thm)],[f630])).
% 0.16/0.43 fof(f633,plain,(
% 0.16/0.43 ![X0]: (~r1_closure3(sk0_0,sk0_1,sk0_3,sk0_2)|~r2_hidden(X0,sk0_2)|r1_tarski(X0,sk0_5(X0,sk0_2,sk0_3,sk0_1,sk0_0))|~spl0_52)),
% 0.16/0.43 inference(resolution,[status(thm)],[f479,f47])).
% 0.16/0.43 fof(f634,plain,(
% 0.16/0.43 ~spl0_27|spl0_71|~spl0_52),
% 0.16/0.43 inference(split_clause,[status(thm)],[f633,f321,f630,f478])).
% 0.16/0.43 fof(f662,plain,(
% 0.16/0.43 r1_tarski(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_5(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_2,sk0_3,sk0_1,sk0_0))|~spl0_71|~spl0_66),
% 0.16/0.43 inference(resolution,[status(thm)],[f631,f580])).
% 0.16/0.43 fof(f665,plain,(
% 0.16/0.43 spl0_77 <=> m1_subset_1(sk0_4,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f667,plain,(
% 0.16/0.43 ~m1_subset_1(sk0_4,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|spl0_77),
% 0.16/0.43 inference(component_clause,[status(thm)],[f665])).
% 0.16/0.43 fof(f668,plain,(
% 0.16/0.43 spl0_78 <=> m1_subset_1(sk0_2,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f670,plain,(
% 0.16/0.43 ~m1_subset_1(sk0_2,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|spl0_78),
% 0.16/0.43 inference(component_clause,[status(thm)],[f668])).
% 0.16/0.43 fof(f676,plain,(
% 0.16/0.43 ![X0]: (~r1_tarski(sk0_5(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_2,sk0_3,sk0_1,sk0_0),X0)|r1_tarski(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),X0)|~spl0_71|~spl0_66)),
% 0.16/0.43 inference(resolution,[status(thm)],[f662,f154])).
% 0.16/0.43 fof(f856,plain,(
% 0.16/0.43 r1_tarski(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_5(sk0_5(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_2,sk0_3,sk0_1,sk0_0),sk0_3,sk0_4,sk0_1,sk0_0))|~spl0_28|~spl0_60|~spl0_71|~spl0_66),
% 0.16/0.43 inference(resolution,[status(thm)],[f601,f676])).
% 0.16/0.43 fof(f858,plain,(
% 0.16/0.43 spl0_104 <=> r2_hidden(sk0_5(sk0_5(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_2,sk0_3,sk0_1,sk0_0),sk0_3,sk0_4,sk0_1,sk0_0),sk0_4)),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f860,plain,(
% 0.16/0.44 ~r2_hidden(sk0_5(sk0_5(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_2,sk0_3,sk0_1,sk0_0),sk0_3,sk0_4,sk0_1,sk0_0),sk0_4)|spl0_104),
% 0.16/0.44 inference(component_clause,[status(thm)],[f858])).
% 0.16/0.44 fof(f861,plain,(
% 0.16/0.44 ~m1_pboole(sk0_1,sk0_0)|~m1_subset_1(sk0_4,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|~m1_subset_1(sk0_2,k1_zfmisc_1(k1_closure2(sk0_0,sk0_1)))|r1_closure3(sk0_0,sk0_1,sk0_4,sk0_2)|~r2_hidden(sk0_5(sk0_5(sk0_6(sk0_2,sk0_4,sk0_1,sk0_0),sk0_2,sk0_3,sk0_1,sk0_0),sk0_3,sk0_4,sk0_1,sk0_0),sk0_4)|~spl0_28|~spl0_60|~spl0_71|~spl0_66),
% 0.16/0.44 inference(resolution,[status(thm)],[f856,f73])).
% 0.16/0.44 fof(f862,plain,(
% 0.16/0.44 ~spl0_0|~spl0_77|~spl0_78|spl0_21|~spl0_104|~spl0_28|~spl0_60|~spl0_71|~spl0_66),
% 0.16/0.44 inference(split_clause,[status(thm)],[f861,f176,f665,f668,f293,f858,f324,f549,f630,f579])).
% 0.16/0.44 fof(f864,plain,(
% 0.16/0.44 $false|~spl0_66|~spl0_28|~spl0_20|spl0_104),
% 0.16/0.44 inference(forward_subsumption_resolution,[status(thm)],[f860,f603])).
% 0.16/0.44 fof(f865,plain,(
% 0.16/0.44 ~spl0_66|~spl0_28|~spl0_20|spl0_104),
% 0.16/0.44 inference(contradiction_clause,[status(thm)],[f864])).
% 0.16/0.44 fof(f866,plain,(
% 0.16/0.44 $false|spl0_77),
% 0.16/0.44 inference(forward_subsumption_resolution,[status(thm)],[f667,f49])).
% 0.16/0.44 fof(f867,plain,(
% 0.16/0.44 spl0_77),
% 0.16/0.44 inference(contradiction_clause,[status(thm)],[f866])).
% 0.16/0.44 fof(f868,plain,(
% 0.16/0.44 $false|spl0_78),
% 0.16/0.44 inference(forward_subsumption_resolution,[status(thm)],[f670,f47])).
% 0.16/0.44 fof(f869,plain,(
% 0.16/0.44 spl0_78),
% 0.16/0.44 inference(contradiction_clause,[status(thm)],[f868])).
% 0.16/0.44 fof(f870,plain,(
% 0.16/0.44 $false),
% 0.16/0.44 inference(sat_refutation,[status(thm)],[f187,f266,f271,f292,f304,f328,f332,f477,f482,f494,f553,f583,f585,f634,f862,f865,f867,f869])).
% 0.16/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.45 % Elapsed time: 0.110017 seconds
% 0.16/0.45 % CPU time: 0.717249 seconds
% 0.16/0.45 % Total memory used: 65.207 MB
% 0.16/0.45 % Net memory used: 64.682 MB
%------------------------------------------------------------------------------