TSTP Solution File: GRP639+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP639+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:21:11 EDT 2024
% Result : Theorem 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP639+1 : TPTP v8.1.2. Released v3.4.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:38:24 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.48 % Refutation found
% 0.20/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.48 fof(f1,conjecture,(
% 0.20/0.48 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v3_group_1(B)& v4_group_1(B)& l1_group_1(B) )=> (! [C] :( ( v1_funct_1(C)& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )=> (! [D] :( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))=> r1_tarski(k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(k5_group_4(A,D)))) ) )) )) )) )),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f2,negated_conjecture,(
% 0.20/0.48 ~((! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v3_group_1(B)& v4_group_1(B)& l1_group_1(B) )=> (! [C] :( ( v1_funct_1(C)& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )=> (! [D] :( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))=> r1_tarski(k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(k5_group_4(A,D)))) ) )) )) )) ))),
% 0.20/0.48 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.48 fof(f6,axiom,(
% 0.20/0.48 (! [A,B,C] :( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))=> v1_relat_1(C) ) )),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f9,axiom,(
% 0.20/0.48 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))=> (! [C] :( ( v1_group_1(C)& m1_group_2(C,A) )=> ( C = k5_group_4(A,B)<=> ( r1_tarski(B,u1_struct_0(C))& (! [D] :( ( v1_group_1(D)& m1_group_2(D,A) )=> ( r1_tarski(B,u1_struct_0(D))=> m1_group_2(C,D) ) ) )) ) ) )) )) )),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f15,axiom,(
% 0.20/0.48 (! [A,B] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A)& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )=> ( v1_group_1(k5_group_4(A,B))& m1_group_2(k5_group_4(A,B),A) ) ) )),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f22,axiom,(
% 0.20/0.48 (! [A,B,C] :( m2_relset_1(C,A,B)=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) )),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f44,axiom,(
% 0.20/0.48 (! [A,B,C,D] :( ( v1_funct_1(C)& v1_funct_2(C,A,B)& m1_relset_1(C,A,B) )=> k2_funct_2(A,B,C,D) = k9_relat_1(C,D) ) )),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f45,axiom,(
% 0.20/0.48 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f47,axiom,(
% 0.20/0.48 (! [A,B,C] :( v1_relat_1(C)=> ( r1_tarski(A,B)=> r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)) ) ) )),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.48 fof(f56,plain,(
% 0.20/0.48 (?[A]: ((((~v3_struct_0(A)&v3_group_1(A))&v4_group_1(A))&l1_group_1(A))&(?[B]: ((((~v3_struct_0(B)&v3_group_1(B))&v4_group_1(B))&l1_group_1(B))&(?[C]: (((v1_funct_1(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))&m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)))&(?[D]: (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))&~r1_tarski(k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(k5_group_4(A,D))))))))))))),
% 0.20/0.48 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.20/0.48 fof(f57,plain,(
% 0.20/0.48 ((((~v3_struct_0(sk0_0)&v3_group_1(sk0_0))&v4_group_1(sk0_0))&l1_group_1(sk0_0))&((((~v3_struct_0(sk0_1)&v3_group_1(sk0_1))&v4_group_1(sk0_1))&l1_group_1(sk0_1))&(((v1_funct_1(sk0_2)&v1_funct_2(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1)))&m2_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1)))&(m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_0)))&~r1_tarski(k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2,sk0_3),k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2,u1_struct_0(k5_group_4(sk0_0,sk0_3))))))))),
% 0.20/0.48 inference(skolemization,[status(esa)],[f56])).
% 0.20/0.48 fof(f58,plain,(
% 0.20/0.48 ~v3_struct_0(sk0_0)),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f57])).
% 0.20/0.48 fof(f59,plain,(
% 0.20/0.48 v3_group_1(sk0_0)),
% 0.20/0.48 inference(cnf_transformation,[status(esa)],[f57])).
% 0.20/0.49 fof(f60,plain,(
% 0.20/0.49 v4_group_1(sk0_0)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f57])).
% 0.20/0.49 fof(f61,plain,(
% 0.20/0.49 l1_group_1(sk0_0)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f57])).
% 0.20/0.49 fof(f66,plain,(
% 0.20/0.49 v1_funct_1(sk0_2)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f57])).
% 0.20/0.49 fof(f67,plain,(
% 0.20/0.49 v1_funct_2(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f57])).
% 0.20/0.49 fof(f68,plain,(
% 0.20/0.49 m2_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f57])).
% 0.20/0.49 fof(f69,plain,(
% 0.20/0.49 m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f57])).
% 0.20/0.49 fof(f70,plain,(
% 0.20/0.49 ~r1_tarski(k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2,sk0_3),k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2,u1_struct_0(k5_group_4(sk0_0,sk0_3))))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f57])).
% 0.20/0.49 fof(f78,plain,(
% 0.20/0.49 ![A,B,C]: (~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.20/0.49 fof(f79,plain,(
% 0.20/0.49 ![C]: ((![A,B]: ~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))|v1_relat_1(C))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f78])).
% 0.20/0.49 fof(f80,plain,(
% 0.20/0.49 ![X0,X1,X2]: (~m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|v1_relat_1(X0))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f79])).
% 0.20/0.49 fof(f91,plain,(
% 0.20/0.49 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|(![C]: ((~v1_group_1(C)|~m1_group_2(C,A))|(C=k5_group_4(A,B)<=>(r1_tarski(B,u1_struct_0(C))&(![D]: ((~v1_group_1(D)|~m1_group_2(D,A))|(~r1_tarski(B,u1_struct_0(D))|m1_group_2(C,D)))))))))))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.20/0.49 fof(f92,plain,(
% 0.20/0.49 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|(![C]: ((~v1_group_1(C)|~m1_group_2(C,A))|((~C=k5_group_4(A,B)|(r1_tarski(B,u1_struct_0(C))&(![D]: ((~v1_group_1(D)|~m1_group_2(D,A))|(~r1_tarski(B,u1_struct_0(D))|m1_group_2(C,D))))))&(C=k5_group_4(A,B)|(~r1_tarski(B,u1_struct_0(C))|(?[D]: ((v1_group_1(D)&m1_group_2(D,A))&(r1_tarski(B,u1_struct_0(D))&~m1_group_2(C,D))))))))))))),
% 0.20/0.49 inference(NNF_transformation,[status(esa)],[f91])).
% 0.20/0.49 fof(f93,plain,(
% 0.20/0.49 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|(![C]: ((~v1_group_1(C)|~m1_group_2(C,A))|((~C=k5_group_4(A,B)|(r1_tarski(B,u1_struct_0(C))&(![D]: ((~v1_group_1(D)|~m1_group_2(D,A))|(~r1_tarski(B,u1_struct_0(D))|m1_group_2(C,D))))))&(C=k5_group_4(A,B)|(~r1_tarski(B,u1_struct_0(C))|((v1_group_1(sk0_4(C,B,A))&m1_group_2(sk0_4(C,B,A),A))&(r1_tarski(B,u1_struct_0(sk0_4(C,B,A)))&~m1_group_2(C,sk0_4(C,B,A))))))))))))),
% 0.20/0.49 inference(skolemization,[status(esa)],[f92])).
% 0.20/0.49 fof(f94,plain,(
% 0.20/0.49 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~v1_group_1(X2)|~m1_group_2(X2,X0)|~X2=k5_group_4(X0,X1)|r1_tarski(X1,u1_struct_0(X2)))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f93])).
% 0.20/0.49 fof(f106,plain,(
% 0.20/0.49 ![A,B]: (((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))|(v1_group_1(k5_group_4(A,B))&m1_group_2(k5_group_4(A,B),A)))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.20/0.49 fof(f107,plain,(
% 0.20/0.49 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|v1_group_1(k5_group_4(X0,X1)))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f106])).
% 0.20/0.49 fof(f108,plain,(
% 0.20/0.49 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|m1_group_2(k5_group_4(X0,X1),X0))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f106])).
% 0.20/0.49 fof(f115,plain,(
% 0.20/0.49 ![A,B,C]: (~m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.20/0.49 fof(f116,plain,(
% 0.20/0.49 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f115])).
% 0.20/0.49 fof(f170,plain,(
% 0.20/0.49 ![A,B,C,D]: (((~v1_funct_1(C)|~v1_funct_2(C,A,B))|~m1_relset_1(C,A,B))|k2_funct_2(A,B,C,D)=k9_relat_1(C,D))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.20/0.49 fof(f171,plain,(
% 0.20/0.49 ![A,B,C]: (((~v1_funct_1(C)|~v1_funct_2(C,A,B))|~m1_relset_1(C,A,B))|(![D]: k2_funct_2(A,B,C,D)=k9_relat_1(C,D)))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f170])).
% 0.20/0.49 fof(f172,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (~v1_funct_1(X0)|~v1_funct_2(X0,X1,X2)|~m1_relset_1(X0,X1,X2)|k2_funct_2(X1,X2,X0,X3)=k9_relat_1(X0,X3))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f171])).
% 0.20/0.49 fof(f173,plain,(
% 0.20/0.49 ![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)))),
% 0.20/0.49 inference(NNF_transformation,[status(esa)],[f45])).
% 0.20/0.49 fof(f174,plain,(
% 0.20/0.49 (![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)))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f173])).
% 0.20/0.49 fof(f175,plain,(
% 0.20/0.49 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f174])).
% 0.20/0.49 fof(f179,plain,(
% 0.20/0.49 ![A,B,C]: (~v1_relat_1(C)|(~r1_tarski(A,B)|r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B))))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.20/0.49 fof(f180,plain,(
% 0.20/0.49 ![C]: (~v1_relat_1(C)|(![A,B]: (~r1_tarski(A,B)|r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)))))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f179])).
% 0.20/0.49 fof(f181,plain,(
% 0.20/0.49 ![X0,X1,X2]: (~v1_relat_1(X0)|~r1_tarski(X1,X2)|r1_tarski(k9_relat_1(X0,X1),k9_relat_1(X0,X2)))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f180])).
% 0.20/0.49 fof(f204,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|v3_struct_0(X2)|~v3_group_1(X2)|~v4_group_1(X2)|~l1_group_1(X2)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))|~m1_group_2(k5_group_4(X0,X1),X2)|~k5_group_4(X0,X1)=k5_group_4(X2,X3)|r1_tarski(X3,u1_struct_0(k5_group_4(X0,X1))))),
% 0.20/0.49 inference(resolution,[status(thm)],[f107,f94])).
% 0.20/0.49 fof(f227,plain,(
% 0.20/0.49 spl0_5 <=> v3_struct_0(sk0_0)),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f228,plain,(
% 0.20/0.49 v3_struct_0(sk0_0)|~spl0_5),
% 0.20/0.49 inference(component_clause,[status(thm)],[f227])).
% 0.20/0.49 fof(f230,plain,(
% 0.20/0.49 spl0_6 <=> v3_group_1(sk0_0)),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f232,plain,(
% 0.20/0.49 ~v3_group_1(sk0_0)|spl0_6),
% 0.20/0.49 inference(component_clause,[status(thm)],[f230])).
% 0.20/0.49 fof(f233,plain,(
% 0.20/0.49 spl0_7 <=> l1_group_1(sk0_0)),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f235,plain,(
% 0.20/0.49 ~l1_group_1(sk0_0)|spl0_7),
% 0.20/0.49 inference(component_clause,[status(thm)],[f233])).
% 0.20/0.49 fof(f238,plain,(
% 0.20/0.49 $false|spl0_7),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f235,f61])).
% 0.20/0.49 fof(f239,plain,(
% 0.20/0.49 spl0_7),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f238])).
% 0.20/0.49 fof(f240,plain,(
% 0.20/0.49 $false|spl0_6),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f232,f59])).
% 0.20/0.49 fof(f241,plain,(
% 0.20/0.49 spl0_6),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f240])).
% 0.20/0.49 fof(f249,plain,(
% 0.20/0.49 spl0_9 <=> v4_group_1(sk0_0)),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f251,plain,(
% 0.20/0.49 ~v4_group_1(sk0_0)|spl0_9),
% 0.20/0.49 inference(component_clause,[status(thm)],[f249])).
% 0.20/0.49 fof(f255,plain,(
% 0.20/0.49 $false|~spl0_5),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f228,f58])).
% 0.20/0.49 fof(f256,plain,(
% 0.20/0.49 ~spl0_5),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f255])).
% 0.20/0.49 fof(f257,plain,(
% 0.20/0.49 $false|spl0_9),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f251,f60])).
% 0.20/0.49 fof(f258,plain,(
% 0.20/0.49 spl0_9),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f257])).
% 0.20/0.49 fof(f289,plain,(
% 0.20/0.49 spl0_13 <=> m2_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f291,plain,(
% 0.20/0.49 ~m2_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))|spl0_13),
% 0.20/0.49 inference(component_clause,[status(thm)],[f289])).
% 0.20/0.49 fof(f294,plain,(
% 0.20/0.49 $false|spl0_13),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f291,f68])).
% 0.20/0.49 fof(f295,plain,(
% 0.20/0.49 spl0_13),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f294])).
% 0.20/0.49 fof(f310,plain,(
% 0.20/0.49 spl0_17 <=> v1_funct_1(sk0_2)),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f312,plain,(
% 0.20/0.49 ~v1_funct_1(sk0_2)|spl0_17),
% 0.20/0.49 inference(component_clause,[status(thm)],[f310])).
% 0.20/0.49 fof(f316,plain,(
% 0.20/0.49 spl0_19 <=> m1_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f318,plain,(
% 0.20/0.49 ~m1_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))|spl0_19),
% 0.20/0.49 inference(component_clause,[status(thm)],[f316])).
% 0.20/0.49 fof(f324,plain,(
% 0.20/0.49 ~m2_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))|spl0_19),
% 0.20/0.49 inference(resolution,[status(thm)],[f318,f175])).
% 0.20/0.49 fof(f325,plain,(
% 0.20/0.49 ~spl0_13|spl0_19),
% 0.20/0.49 inference(split_clause,[status(thm)],[f324,f289,f316])).
% 0.20/0.49 fof(f328,plain,(
% 0.20/0.49 $false|spl0_17),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f312,f66])).
% 0.20/0.49 fof(f329,plain,(
% 0.20/0.49 spl0_17),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f328])).
% 0.20/0.49 fof(f676,plain,(
% 0.20/0.49 spl0_69 <=> k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2,X0)=k9_relat_1(sk0_2,X0)),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f677,plain,(
% 0.20/0.49 ![X0]: (k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2,X0)=k9_relat_1(sk0_2,X0)|~spl0_69)),
% 0.20/0.49 inference(component_clause,[status(thm)],[f676])).
% 0.20/0.49 fof(f679,plain,(
% 0.20/0.49 ![X0]: (~v1_funct_1(sk0_2)|~m1_relset_1(sk0_2,u1_struct_0(sk0_0),u1_struct_0(sk0_1))|k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2,X0)=k9_relat_1(sk0_2,X0))),
% 0.20/0.49 inference(resolution,[status(thm)],[f172,f67])).
% 0.20/0.49 fof(f680,plain,(
% 0.20/0.49 ~spl0_17|~spl0_19|spl0_69),
% 0.20/0.49 inference(split_clause,[status(thm)],[f679,f310,f316,f676])).
% 0.20/0.49 fof(f706,plain,(
% 0.20/0.49 ~r1_tarski(k2_funct_2(u1_struct_0(sk0_0),u1_struct_0(sk0_1),sk0_2,sk0_3),k9_relat_1(sk0_2,u1_struct_0(k5_group_4(sk0_0,sk0_3))))|~spl0_69),
% 0.20/0.49 inference(backward_demodulation,[status(thm)],[f677,f70])).
% 0.20/0.49 fof(f707,plain,(
% 0.20/0.49 ~r1_tarski(k9_relat_1(sk0_2,sk0_3),k9_relat_1(sk0_2,u1_struct_0(k5_group_4(sk0_0,sk0_3))))|~spl0_69),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f677,f706])).
% 0.20/0.49 fof(f737,plain,(
% 0.20/0.49 spl0_78 <=> v1_relat_1(sk0_2)),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f739,plain,(
% 0.20/0.49 ~v1_relat_1(sk0_2)|spl0_78),
% 0.20/0.49 inference(component_clause,[status(thm)],[f737])).
% 0.20/0.49 fof(f740,plain,(
% 0.20/0.49 spl0_79 <=> r1_tarski(sk0_3,u1_struct_0(k5_group_4(sk0_0,sk0_3)))),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f742,plain,(
% 0.20/0.49 ~r1_tarski(sk0_3,u1_struct_0(k5_group_4(sk0_0,sk0_3)))|spl0_79),
% 0.20/0.49 inference(component_clause,[status(thm)],[f740])).
% 0.20/0.49 fof(f743,plain,(
% 0.20/0.49 ~v1_relat_1(sk0_2)|~r1_tarski(sk0_3,u1_struct_0(k5_group_4(sk0_0,sk0_3)))|~spl0_69),
% 0.20/0.49 inference(resolution,[status(thm)],[f707,f181])).
% 0.20/0.49 fof(f744,plain,(
% 0.20/0.49 ~spl0_78|~spl0_79|~spl0_69),
% 0.20/0.49 inference(split_clause,[status(thm)],[f743,f737,f740,f676])).
% 0.20/0.49 fof(f745,plain,(
% 0.20/0.49 ![X0,X1]: (~m1_subset_1(sk0_2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))|spl0_78)),
% 0.20/0.49 inference(resolution,[status(thm)],[f739,f80])).
% 0.20/0.49 fof(f746,plain,(
% 0.20/0.49 ![X0,X1]: (~m2_relset_1(sk0_2,X0,X1)|spl0_78)),
% 0.20/0.49 inference(resolution,[status(thm)],[f745,f116])).
% 0.20/0.49 fof(f748,plain,(
% 0.20/0.49 $false|spl0_78),
% 0.20/0.49 inference(backward_subsumption_resolution,[status(thm)],[f68,f746])).
% 0.20/0.49 fof(f749,plain,(
% 0.20/0.49 spl0_78),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f748])).
% 0.20/0.49 fof(f750,plain,(
% 0.20/0.49 spl0_80 <=> m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f752,plain,(
% 0.20/0.49 ~m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_0)))|spl0_80),
% 0.20/0.49 inference(component_clause,[status(thm)],[f750])).
% 0.20/0.49 fof(f753,plain,(
% 0.20/0.49 spl0_81 <=> v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(X0)))|~m1_group_2(k5_group_4(sk0_0,sk0_3),X0)|~k5_group_4(sk0_0,sk0_3)=k5_group_4(X0,sk0_3)),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f754,plain,(
% 0.20/0.49 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(X0)))|~m1_group_2(k5_group_4(sk0_0,sk0_3),X0)|~k5_group_4(sk0_0,sk0_3)=k5_group_4(X0,sk0_3)|~spl0_81)),
% 0.20/0.49 inference(component_clause,[status(thm)],[f753])).
% 0.20/0.49 fof(f756,plain,(
% 0.20/0.49 ![X0]: (v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|~m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_0)))|v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(X0)))|~m1_group_2(k5_group_4(sk0_0,sk0_3),X0)|~k5_group_4(sk0_0,sk0_3)=k5_group_4(X0,sk0_3)|spl0_79)),
% 0.20/0.50 inference(resolution,[status(thm)],[f742,f204])).
% 0.20/0.50 fof(f757,plain,(
% 0.20/0.50 spl0_5|~spl0_6|~spl0_9|~spl0_7|~spl0_80|spl0_81|spl0_79),
% 0.20/0.50 inference(split_clause,[status(thm)],[f756,f227,f230,f249,f233,f750,f753,f740])).
% 0.20/0.50 fof(f758,plain,(
% 0.20/0.50 $false|spl0_80),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f752,f69])).
% 0.20/0.50 fof(f759,plain,(
% 0.20/0.50 spl0_80),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f758])).
% 0.20/0.50 fof(f826,plain,(
% 0.20/0.50 spl0_93 <=> m1_group_2(k5_group_4(sk0_0,sk0_3),sk0_0)),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f828,plain,(
% 0.20/0.50 ~m1_group_2(k5_group_4(sk0_0,sk0_3),sk0_0)|spl0_93),
% 0.20/0.50 inference(component_clause,[status(thm)],[f826])).
% 0.20/0.50 fof(f829,plain,(
% 0.20/0.50 spl0_94 <=> k5_group_4(sk0_0,sk0_3)=k5_group_4(sk0_0,sk0_3)),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f831,plain,(
% 0.20/0.50 ~k5_group_4(sk0_0,sk0_3)=k5_group_4(sk0_0,sk0_3)|spl0_94),
% 0.20/0.50 inference(component_clause,[status(thm)],[f829])).
% 0.20/0.50 fof(f832,plain,(
% 0.20/0.50 v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|~m1_group_2(k5_group_4(sk0_0,sk0_3),sk0_0)|~k5_group_4(sk0_0,sk0_3)=k5_group_4(sk0_0,sk0_3)|~spl0_81),
% 0.20/0.50 inference(resolution,[status(thm)],[f754,f69])).
% 0.20/0.50 fof(f833,plain,(
% 0.20/0.50 spl0_5|~spl0_6|~spl0_9|~spl0_7|~spl0_93|~spl0_94|~spl0_81),
% 0.20/0.50 inference(split_clause,[status(thm)],[f832,f227,f230,f249,f233,f826,f829,f753])).
% 0.20/0.50 fof(f835,plain,(
% 0.20/0.50 $false|spl0_94),
% 0.20/0.50 inference(trivial_equality_resolution,[status(esa)],[f831])).
% 0.20/0.50 fof(f836,plain,(
% 0.20/0.50 spl0_94),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f835])).
% 0.20/0.50 fof(f837,plain,(
% 0.20/0.50 v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|~m1_subset_1(sk0_3,k1_zfmisc_1(u1_struct_0(sk0_0)))|spl0_93),
% 0.20/0.50 inference(resolution,[status(thm)],[f828,f108])).
% 0.20/0.50 fof(f838,plain,(
% 0.20/0.50 spl0_5|~spl0_6|~spl0_9|~spl0_7|~spl0_80|spl0_93),
% 0.20/0.50 inference(split_clause,[status(thm)],[f837,f227,f230,f249,f233,f750,f826])).
% 0.20/0.50 fof(f850,plain,(
% 0.20/0.50 $false),
% 0.20/0.50 inference(sat_refutation,[status(thm)],[f239,f241,f256,f258,f295,f325,f329,f680,f744,f749,f757,f759,f833,f836,f838])).
% 0.20/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.50 % Elapsed time: 0.146411 seconds
% 0.20/0.50 % CPU time: 1.043687 seconds
% 0.20/0.50 % Total memory used: 68.840 MB
% 0.20/0.50 % Net memory used: 68.427 MB
%------------------------------------------------------------------------------