TSTP Solution File: GRP629+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP629+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 : Wed May 31 12:12:17 EDT 2023
% Result : Theorem 44.03s 7.35s
% Output : CNFRefutation 45.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP629+3 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:37:28 EDT 2023
% 0.10/0.32 % CPUTime :
% 1.59/1.82 % Drodi V3.5.1
% 44.03/7.35 % Refutation found
% 44.03/7.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 44.03/7.35 % SZS output start CNFRefutation for theBenchmark
% 44.03/7.35 fof(f26,axiom,(
% 44.03/7.35 (? [A] : ~ v1_xboole_0(A) )),
% 44.03/7.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.03/7.35 fof(f1176,axiom,(
% 44.03/7.35 (? [A] :( v1_ordinal1(A)& v2_ordinal1(A)& v3_ordinal1(A) ) )),
% 44.03/7.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.03/7.35 fof(f7368,axiom,(
% 44.03/7.35 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> ( C = k3_group_1(A,B)<=> ( k1_group_1(A,B,C) = k2_group_1(A)& k1_group_1(A,C,B) = k2_group_1(A) ) ) ) )) )) )),
% 44.03/7.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.03/7.35 fof(f7471,axiom,(
% 44.03/7.35 (! [A,B] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A)& m1_subset_1(B,u1_struct_0(A)) )=> m1_subset_1(k3_group_1(A,B),u1_struct_0(A)) ) )),
% 44.03/7.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.03/7.35 fof(f12904,axiom,(
% 44.03/7.35 (! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> k6_autgroup(A,k1_group_1(A,B,C)) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,C)) ) )) )) )),
% 44.03/7.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.03/7.35 fof(f12905,axiom,(
% 44.03/7.35 (! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> k6_autgroup(A,k2_group_1(A)) = k6_partfun1(u1_struct_0(A)) ) )),
% 44.03/7.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.03/7.35 fof(f12907,conjecture,(
% 44.03/7.35 (! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k3_group_1(A,B)),k6_autgroup(A,B)) = k6_autgroup(A,k2_group_1(A)) ) )) )),
% 44.03/7.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.03/7.35 fof(f12908,negated_conjecture,(
% 44.03/7.35 ~((! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k3_group_1(A,B)),k6_autgroup(A,B)) = k6_autgroup(A,k2_group_1(A)) ) )) ))),
% 44.03/7.35 inference(negated_conjecture,[status(cth)],[f12907])).
% 44.03/7.35 fof(f12990,plain,(
% 44.03/7.35 ~v1_xboole_0(sk0_21)),
% 44.03/7.35 inference(skolemization,[status(esa)],[f26])).
% 44.03/7.35 fof(f12991,plain,(
% 44.03/7.35 ~v1_xboole_0(sk0_21)),
% 44.03/7.35 inference(cnf_transformation,[status(esa)],[f12990])).
% 44.03/7.35 fof(f15730,plain,(
% 44.03/7.35 ((v1_ordinal1(sk0_240)&v2_ordinal1(sk0_240))&v3_ordinal1(sk0_240))),
% 44.03/7.35 inference(skolemization,[status(esa)],[f1176])).
% 44.03/7.35 fof(f15733,plain,(
% 44.03/7.35 v3_ordinal1(sk0_240)),
% 44.03/7.35 inference(cnf_transformation,[status(esa)],[f15730])).
% 44.03/7.35 fof(f35306,plain,(
% 44.03/7.35 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|(C=k3_group_1(A,B)<=>(k1_group_1(A,B,C)=k2_group_1(A)&k1_group_1(A,C,B)=k2_group_1(A))))))))),
% 44.03/7.35 inference(pre_NNF_transformation,[status(esa)],[f7368])).
% 44.03/7.35 fof(f35307,plain,(
% 44.03/7.35 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|((~C=k3_group_1(A,B)|(k1_group_1(A,B,C)=k2_group_1(A)&k1_group_1(A,C,B)=k2_group_1(A)))&(C=k3_group_1(A,B)|(~k1_group_1(A,B,C)=k2_group_1(A)|~k1_group_1(A,C,B)=k2_group_1(A)))))))))),
% 44.03/7.35 inference(NNF_transformation,[status(esa)],[f35306])).
% 44.03/7.35 fof(f35309,plain,(
% 44.03/7.35 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|~X2=k3_group_1(X0,X1)|k1_group_1(X0,X2,X1)=k2_group_1(X0))),
% 44.03/7.35 inference(cnf_transformation,[status(esa)],[f35307])).
% 44.03/7.35 fof(f35542,plain,(
% 44.03/7.35 ![A,B]: (((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|~m1_subset_1(B,u1_struct_0(A)))|m1_subset_1(k3_group_1(A,B),u1_struct_0(A)))),
% 44.03/7.35 inference(pre_NNF_transformation,[status(esa)],[f7471])).
% 44.03/7.35 fof(f35543,plain,(
% 44.03/7.35 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,u1_struct_0(X0))|m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)))),
% 44.03/7.36 inference(cnf_transformation,[status(esa)],[f35542])).
% 44.03/7.36 fof(f54016,plain,(
% 44.03/7.36 ![A]: (((((v3_struct_0(A)|~v1_group_1(A))|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|k6_autgroup(A,k1_group_1(A,B,C))=k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,C)))))))),
% 44.03/7.36 inference(pre_NNF_transformation,[status(esa)],[f12904])).
% 44.03/7.36 fof(f54017,plain,(
% 44.03/7.36 ![X0,X1,X2]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|k6_autgroup(X0,k1_group_1(X0,X1,X2))=k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2)))),
% 44.03/7.36 inference(cnf_transformation,[status(esa)],[f54016])).
% 44.03/7.36 fof(f54018,plain,(
% 44.03/7.36 ![A]: (((((v3_struct_0(A)|~v1_group_1(A))|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|k6_autgroup(A,k2_group_1(A))=k6_partfun1(u1_struct_0(A)))),
% 44.03/7.36 inference(pre_NNF_transformation,[status(esa)],[f12905])).
% 44.03/7.36 fof(f54019,plain,(
% 44.03/7.36 ![X0]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|k6_autgroup(X0,k2_group_1(X0))=k6_partfun1(u1_struct_0(X0)))),
% 44.03/7.36 inference(cnf_transformation,[status(esa)],[f54018])).
% 44.03/7.36 fof(f54022,plain,(
% 44.03/7.36 (?[A]: (((((~v3_struct_0(A)&v1_group_1(A))&v3_group_1(A))&v4_group_1(A))&l1_group_1(A))&(?[B]: (m1_subset_1(B,u1_struct_0(A))&~k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k3_group_1(A,B)),k6_autgroup(A,B))=k6_autgroup(A,k2_group_1(A))))))),
% 44.03/7.36 inference(pre_NNF_transformation,[status(esa)],[f12908])).
% 44.03/7.36 fof(f54023,plain,(
% 44.03/7.36 (((((~v3_struct_0(sk0_3710)&v1_group_1(sk0_3710))&v3_group_1(sk0_3710))&v4_group_1(sk0_3710))&l1_group_1(sk0_3710))&(m1_subset_1(sk0_3711,u1_struct_0(sk0_3710))&~k7_funct_2(u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),k6_autgroup(sk0_3710,k3_group_1(sk0_3710,sk0_3711)),k6_autgroup(sk0_3710,sk0_3711))=k6_autgroup(sk0_3710,k2_group_1(sk0_3710))))),
% 44.03/7.36 inference(skolemization,[status(esa)],[f54022])).
% 44.03/7.36 fof(f54024,plain,(
% 44.03/7.36 ~v3_struct_0(sk0_3710)),
% 44.03/7.36 inference(cnf_transformation,[status(esa)],[f54023])).
% 44.03/7.36 fof(f54025,plain,(
% 44.03/7.36 v1_group_1(sk0_3710)),
% 44.03/7.36 inference(cnf_transformation,[status(esa)],[f54023])).
% 44.03/7.36 fof(f54026,plain,(
% 44.03/7.36 v3_group_1(sk0_3710)),
% 44.03/7.36 inference(cnf_transformation,[status(esa)],[f54023])).
% 44.03/7.36 fof(f54027,plain,(
% 44.03/7.36 v4_group_1(sk0_3710)),
% 44.03/7.36 inference(cnf_transformation,[status(esa)],[f54023])).
% 44.03/7.36 fof(f54028,plain,(
% 44.03/7.36 l1_group_1(sk0_3710)),
% 44.03/7.36 inference(cnf_transformation,[status(esa)],[f54023])).
% 44.03/7.36 fof(f54029,plain,(
% 44.03/7.36 m1_subset_1(sk0_3711,u1_struct_0(sk0_3710))),
% 44.03/7.36 inference(cnf_transformation,[status(esa)],[f54023])).
% 44.03/7.36 fof(f54030,plain,(
% 44.03/7.36 ~k7_funct_2(u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),k6_autgroup(sk0_3710,k3_group_1(sk0_3710,sk0_3711)),k6_autgroup(sk0_3710,sk0_3711))=k6_autgroup(sk0_3710,k2_group_1(sk0_3710))),
% 44.03/7.36 inference(cnf_transformation,[status(esa)],[f54023])).
% 44.03/7.36 fof(f56251,plain,(
% 44.03/7.36 spl0_14 <=> v1_xboole_0(X1)),
% 44.03/7.36 introduced(split_symbol_definition)).
% 44.03/7.36 fof(f56252,plain,(
% 44.03/7.36 ![X0]: (v1_xboole_0(X0)|~spl0_14)),
% 44.03/7.36 inference(component_clause,[status(thm)],[f56251])).
% 44.03/7.36 fof(f56392,plain,(
% 44.03/7.36 spl0_52 <=> ~v3_ordinal1(X1)),
% 44.03/7.36 introduced(split_symbol_definition)).
% 44.03/7.36 fof(f56393,plain,(
% 44.03/7.36 ![X0]: (~v3_ordinal1(X0)|~spl0_52)),
% 44.03/7.36 inference(component_clause,[status(thm)],[f56392])).
% 44.03/7.36 fof(f62123,plain,(
% 44.03/7.36 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))|k1_group_1(X0,k3_group_1(X0,X1),X1)=k2_group_1(X0))),
% 44.03/7.36 inference(destructive_equality_resolution,[status(esa)],[f35309])).
% 44.03/7.36 fof(f63397,plain,(
% 44.03/7.36 spl0_1195 <=> v3_struct_0(sk0_3710)),
% 44.03/7.36 introduced(split_symbol_definition)).
% 44.03/7.36 fof(f63398,plain,(
% 44.03/7.36 v3_struct_0(sk0_3710)|~spl0_1195),
% 44.03/7.36 inference(component_clause,[status(thm)],[f63397])).
% 44.03/7.36 fof(f63405,plain,(
% 44.03/7.36 $false|~spl0_1195),
% 44.03/7.36 inference(forward_subsumption_resolution,[status(thm)],[f63398,f54024])).
% 44.03/7.36 fof(f63406,plain,(
% 44.03/7.36 ~spl0_1195),
% 44.03/7.36 inference(contradiction_clause,[status(thm)],[f63405])).
% 44.03/7.36 fof(f63407,plain,(
% 44.03/7.36 spl0_1197 <=> v3_group_1(sk0_3710)),
% 44.03/7.36 introduced(split_symbol_definition)).
% 44.03/7.36 fof(f63409,plain,(
% 44.03/7.36 ~v3_group_1(sk0_3710)|spl0_1197),
% 44.03/7.36 inference(component_clause,[status(thm)],[f63407])).
% 44.03/7.36 fof(f63410,plain,(
% 44.03/7.36 spl0_1198 <=> l1_group_1(sk0_3710)),
% 44.03/7.36 introduced(split_symbol_definition)).
% 44.03/7.36 fof(f63412,plain,(
% 44.03/7.36 ~l1_group_1(sk0_3710)|spl0_1198),
% 44.03/7.36 inference(component_clause,[status(thm)],[f63410])).
% 44.03/7.36 fof(f63418,plain,(
% 44.03/7.36 $false|spl0_1198),
% 44.03/7.36 inference(forward_subsumption_resolution,[status(thm)],[f63412,f54028])).
% 44.03/7.36 fof(f63419,plain,(
% 44.03/7.36 spl0_1198),
% 44.03/7.36 inference(contradiction_clause,[status(thm)],[f63418])).
% 44.03/7.36 fof(f63420,plain,(
% 44.03/7.36 $false|spl0_1197),
% 44.03/7.36 inference(forward_subsumption_resolution,[status(thm)],[f63409,f54026])).
% 44.03/7.36 fof(f63421,plain,(
% 44.03/7.36 spl0_1197),
% 44.03/7.36 inference(contradiction_clause,[status(thm)],[f63420])).
% 44.03/7.36 fof(f63422,plain,(
% 44.03/7.36 spl0_1200 <=> v4_group_1(sk0_3710)),
% 44.03/7.36 introduced(split_symbol_definition)).
% 44.03/7.36 fof(f63424,plain,(
% 44.03/7.36 ~v4_group_1(sk0_3710)|spl0_1200),
% 44.03/7.36 inference(component_clause,[status(thm)],[f63422])).
% 44.03/7.36 fof(f63435,plain,(
% 44.03/7.36 $false|spl0_1200),
% 44.03/7.36 inference(forward_subsumption_resolution,[status(thm)],[f63424,f54027])).
% 44.03/7.36 fof(f63436,plain,(
% 44.03/7.36 spl0_1200),
% 44.03/7.36 inference(contradiction_clause,[status(thm)],[f63435])).
% 44.03/7.36 fof(f63438,plain,(
% 44.03/7.36 spl0_1203 <=> v1_group_1(sk0_3710)),
% 44.03/7.36 introduced(split_symbol_definition)).
% 44.03/7.36 fof(f63440,plain,(
% 44.03/7.36 ~v1_group_1(sk0_3710)|spl0_1203),
% 44.03/7.36 inference(component_clause,[status(thm)],[f63438])).
% 44.03/7.36 fof(f63441,plain,(
% 44.03/7.36 spl0_1204 <=> k6_autgroup(sk0_3710,k2_group_1(sk0_3710))=k6_partfun1(u1_struct_0(sk0_3710))),
% 44.03/7.36 introduced(split_symbol_definition)).
% 44.03/7.36 fof(f63442,plain,(
% 44.03/7.36 k6_autgroup(sk0_3710,k2_group_1(sk0_3710))=k6_partfun1(u1_struct_0(sk0_3710))|~spl0_1204),
% 44.03/7.36 inference(component_clause,[status(thm)],[f63441])).
% 44.03/7.36 fof(f63444,plain,(
% 44.03/7.36 v3_struct_0(sk0_3710)|~v1_group_1(sk0_3710)|~v3_group_1(sk0_3710)|~l1_group_1(sk0_3710)|k6_autgroup(sk0_3710,k2_group_1(sk0_3710))=k6_partfun1(u1_struct_0(sk0_3710))),
% 44.03/7.36 inference(resolution,[status(thm)],[f54019,f54027])).
% 44.03/7.36 fof(f63445,plain,(
% 44.03/7.36 spl0_1195|~spl0_1203|~spl0_1197|~spl0_1198|spl0_1204),
% 44.03/7.36 inference(split_clause,[status(thm)],[f63444,f63397,f63438,f63407,f63410,f63441])).
% 44.03/7.36 fof(f63446,plain,(
% 44.03/7.36 $false|spl0_1203),
% 44.03/7.36 inference(forward_subsumption_resolution,[status(thm)],[f63440,f54025])).
% 44.03/7.36 fof(f63447,plain,(
% 44.03/7.36 spl0_1203),
% 44.03/7.36 inference(contradiction_clause,[status(thm)],[f63446])).
% 44.03/7.36 fof(f63448,plain,(
% 44.03/7.36 ~k7_funct_2(u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),k6_autgroup(sk0_3710,k3_group_1(sk0_3710,sk0_3711)),k6_autgroup(sk0_3710,sk0_3711))=k6_partfun1(u1_struct_0(sk0_3710))|~spl0_1204),
% 44.03/7.36 inference(backward_demodulation,[status(thm)],[f63442,f54030])).
% 44.03/7.36 fof(f63454,plain,(
% 44.03/7.36 spl0_1206 <=> m1_subset_1(k3_group_1(sk0_3710,sk0_3711),u1_struct_0(sk0_3710))),
% 44.03/7.36 introduced(split_symbol_definition)).
% 44.03/7.36 fof(f63455,plain,(
% 44.03/7.36 m1_subset_1(k3_group_1(sk0_3710,sk0_3711),u1_struct_0(sk0_3710))|~spl0_1206),
% 44.03/7.36 inference(component_clause,[status(thm)],[f63454])).
% 44.03/7.36 fof(f63457,plain,(
% 44.03/7.36 v3_struct_0(sk0_3710)|~v3_group_1(sk0_3710)|~v4_group_1(sk0_3710)|~l1_group_1(sk0_3710)|m1_subset_1(k3_group_1(sk0_3710,sk0_3711),u1_struct_0(sk0_3710))),
% 44.03/7.36 inference(resolution,[status(thm)],[f35543,f54029])).
% 44.03/7.36 fof(f63458,plain,(
% 44.03/7.36 spl0_1195|~spl0_1197|~spl0_1200|~spl0_1198|spl0_1206),
% 44.03/7.36 inference(split_clause,[status(thm)],[f63457,f63397,f63407,f63422,f63410,f63454])).
% 44.03/7.36 fof(f63531,plain,(
% 44.03/7.36 spl0_1219 <=> ~m1_subset_1(X0,u1_struct_0(sk0_3710))|k6_autgroup(sk0_3710,k1_group_1(sk0_3710,X0,sk0_3711))=k7_funct_2(u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),k6_autgroup(sk0_3710,X0),k6_autgroup(sk0_3710,sk0_3711))),
% 44.03/7.36 introduced(split_symbol_definition)).
% 44.03/7.36 fof(f63532,plain,(
% 44.03/7.36 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_3710))|k6_autgroup(sk0_3710,k1_group_1(sk0_3710,X0,sk0_3711))=k7_funct_2(u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),k6_autgroup(sk0_3710,X0),k6_autgroup(sk0_3710,sk0_3711))|~spl0_1219)),
% 45.95/7.59 inference(component_clause,[status(thm)],[f63531])).
% 45.95/7.59 fof(f63534,plain,(
% 45.95/7.59 ![X0]: (v3_struct_0(sk0_3710)|~v1_group_1(sk0_3710)|~v3_group_1(sk0_3710)|~v4_group_1(sk0_3710)|~l1_group_1(sk0_3710)|~m1_subset_1(X0,u1_struct_0(sk0_3710))|k6_autgroup(sk0_3710,k1_group_1(sk0_3710,X0,sk0_3711))=k7_funct_2(u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),k6_autgroup(sk0_3710,X0),k6_autgroup(sk0_3710,sk0_3711)))),
% 45.95/7.59 inference(resolution,[status(thm)],[f54017,f54029])).
% 45.95/7.59 fof(f63535,plain,(
% 45.95/7.59 spl0_1195|~spl0_1203|~spl0_1197|~spl0_1200|~spl0_1198|spl0_1219),
% 45.95/7.59 inference(split_clause,[status(thm)],[f63534,f63397,f63438,f63407,f63422,f63410,f63531])).
% 45.95/7.59 fof(f63537,plain,(
% 45.95/7.59 k6_autgroup(sk0_3710,k1_group_1(sk0_3710,k3_group_1(sk0_3710,sk0_3711),sk0_3711))=k7_funct_2(u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),u1_struct_0(sk0_3710),k6_autgroup(sk0_3710,k3_group_1(sk0_3710,sk0_3711)),k6_autgroup(sk0_3710,sk0_3711))|~spl0_1219|~spl0_1206),
% 45.95/7.59 inference(resolution,[status(thm)],[f63532,f63455])).
% 45.95/7.59 fof(f63545,plain,(
% 45.95/7.59 ~k6_autgroup(sk0_3710,k1_group_1(sk0_3710,k3_group_1(sk0_3710,sk0_3711),sk0_3711))=k6_partfun1(u1_struct_0(sk0_3710))|~spl0_1219|~spl0_1206|~spl0_1204),
% 45.95/7.59 inference(backward_demodulation,[status(thm)],[f63537,f63448])).
% 45.95/7.59 fof(f63594,plain,(
% 45.95/7.59 spl0_1223 <=> m1_subset_1(sk0_3711,u1_struct_0(sk0_3710))),
% 45.95/7.59 introduced(split_symbol_definition)).
% 45.95/7.59 fof(f63596,plain,(
% 45.95/7.59 ~m1_subset_1(sk0_3711,u1_struct_0(sk0_3710))|spl0_1223),
% 45.95/7.59 inference(component_clause,[status(thm)],[f63594])).
% 45.95/7.59 fof(f63601,plain,(
% 45.95/7.59 $false|spl0_1223),
% 45.95/7.59 inference(forward_subsumption_resolution,[status(thm)],[f63596,f54029])).
% 45.95/7.59 fof(f63602,plain,(
% 45.95/7.59 spl0_1223),
% 45.95/7.59 inference(contradiction_clause,[status(thm)],[f63601])).
% 45.95/7.59 fof(f63841,plain,(
% 45.95/7.59 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,u1_struct_0(X0))|k1_group_1(X0,k3_group_1(X0,X1),X1)=k2_group_1(X0))),
% 45.95/7.59 inference(forward_subsumption_resolution,[status(thm)],[f62123,f35543])).
% 45.95/7.59 fof(f63852,plain,(
% 45.95/7.59 spl0_1254 <=> k1_group_1(sk0_3710,k3_group_1(sk0_3710,sk0_3711),sk0_3711)=k2_group_1(sk0_3710)),
% 45.95/7.59 introduced(split_symbol_definition)).
% 45.95/7.59 fof(f63853,plain,(
% 45.95/7.59 k1_group_1(sk0_3710,k3_group_1(sk0_3710,sk0_3711),sk0_3711)=k2_group_1(sk0_3710)|~spl0_1254),
% 45.95/7.59 inference(component_clause,[status(thm)],[f63852])).
% 45.95/7.59 fof(f63855,plain,(
% 45.95/7.59 v3_struct_0(sk0_3710)|~v3_group_1(sk0_3710)|~v4_group_1(sk0_3710)|~l1_group_1(sk0_3710)|k1_group_1(sk0_3710,k3_group_1(sk0_3710,sk0_3711),sk0_3711)=k2_group_1(sk0_3710)),
% 45.95/7.59 inference(resolution,[status(thm)],[f63841,f54029])).
% 45.95/7.59 fof(f63856,plain,(
% 45.95/7.59 spl0_1195|~spl0_1197|~spl0_1200|~spl0_1198|spl0_1254),
% 45.95/7.59 inference(split_clause,[status(thm)],[f63855,f63397,f63407,f63422,f63410,f63852])).
% 45.95/7.59 fof(f63903,plain,(
% 45.95/7.59 $false|~spl0_14),
% 45.95/7.59 inference(forward_subsumption_resolution,[status(thm)],[f12991,f56252])).
% 45.95/7.59 fof(f63904,plain,(
% 45.95/7.59 ~spl0_14),
% 45.95/7.59 inference(contradiction_clause,[status(thm)],[f63903])).
% 45.95/7.59 fof(f63905,plain,(
% 45.95/7.59 $false|~spl0_52),
% 45.95/7.59 inference(forward_subsumption_resolution,[status(thm)],[f15733,f56393])).
% 45.95/7.59 fof(f63906,plain,(
% 45.95/7.59 ~spl0_52),
% 45.95/7.59 inference(contradiction_clause,[status(thm)],[f63905])).
% 45.95/7.59 fof(f64015,plain,(
% 45.95/7.59 ~k6_autgroup(sk0_3710,k2_group_1(sk0_3710))=k6_partfun1(u1_struct_0(sk0_3710))|~spl0_1254|~spl0_1219|~spl0_1206|~spl0_1204),
% 45.95/7.59 inference(backward_demodulation,[status(thm)],[f63853,f63545])).
% 45.95/7.59 fof(f64016,plain,(
% 45.95/7.59 ~k6_partfun1(u1_struct_0(sk0_3710))=k6_partfun1(u1_struct_0(sk0_3710))|~spl0_1254|~spl0_1219|~spl0_1206|~spl0_1204),
% 45.95/7.59 inference(forward_demodulation,[status(thm)],[f63442,f64015])).
% 45.95/7.59 fof(f64017,plain,(
% 45.95/7.59 $false|~spl0_1254|~spl0_1219|~spl0_1206|~spl0_1204),
% 45.95/7.59 inference(trivial_equality_resolution,[status(esa)],[f64016])).
% 45.95/7.59 fof(f64018,plain,(
% 45.95/7.59 ~spl0_1254|~spl0_1219|~spl0_1206|~spl0_1204),
% 45.95/7.59 inference(contradiction_clause,[status(thm)],[f64017])).
% 45.95/7.59 fof(f64019,plain,(
% 45.95/7.59 $false),
% 45.95/7.59 inference(sat_refutation,[status(thm)],[f63406,f63419,f63421,f63436,f63445,f63447,f63458,f63535,f63602,f63856,f63904,f63906,f64018])).
% 45.95/7.59 % SZS output end CNFRefutation for theBenchmark.p
% 46.69/7.71 % Elapsed time: 7.361222 seconds
% 46.69/7.71 % CPU time: 45.074379 seconds
% 46.69/7.71 % Memory used: 3.534 GB
%------------------------------------------------------------------------------