TSTP Solution File: GRP644+2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP644+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:21:13 EDT 2024
% Result : Theorem 11.03s 2.09s
% Output : CNFRefutation 11.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP644+2 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:05:26 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.56/0.72 % Drodi V3.6.0
% 11.03/2.09 % Refutation found
% 11.03/2.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.03/2.09 % SZS output start CNFRefutation for theBenchmark
% 11.03/2.09 fof(f3813,axiom,(
% 11.03/2.09 (! [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)) ) )),
% 11.03/2.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.03/2.09 fof(f4339,axiom,(
% 11.03/2.09 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_group_2(B,A)=> v4_group_1(B) ) )) )),
% 11.03/2.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.03/2.09 fof(f4404,axiom,(
% 11.03/2.09 (! [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_group_2(C,A)=> ( r1_rlvect_1(C,B)=> r1_rlvect_1(C,k3_group_1(A,B)) ) ) )) )) )),
% 11.03/2.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.03/2.09 fof(f4407,axiom,(
% 11.03/2.09 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> m1_group_2(A,A) ) )),
% 11.03/2.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.03/2.09 fof(f4409,axiom,(
% 11.03/2.09 (! [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] :( ( ~ v3_struct_0(C)& v3_group_1(C)& v4_group_1(C)& l1_group_1(C) )=> ( ( m1_group_2(A,B)& m1_group_2(B,C) )=> m1_group_2(A,C) ) ) )) )) )),
% 11.03/2.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.03/2.09 fof(f4540,axiom,(
% 11.03/2.09 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_group_2(B,A)=> ( ~ v3_struct_0(B)& v3_group_1(B)& l1_group_1(B) ) ) )) )),
% 11.03/2.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.03/2.09 fof(f5657,axiom,(
% 11.03/2.09 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( v1_group_1(B)& m1_group_2(B,A) )=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))<=> r1_rlvect_1(B,C) ) ) )) )) )),
% 11.03/2.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.03/2.09 fof(f5661,conjecture,(
% 11.03/2.09 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( v1_group_1(B)& m1_group_2(B,A) )=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))=> r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)) ) ) )) )) )),
% 11.03/2.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.03/2.09 fof(f5662,negated_conjecture,(
% 11.03/2.09 ~((! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( v1_group_1(B)& m1_group_2(B,A) )=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))=> r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)) ) ) )) )) ))),
% 11.03/2.09 inference(negated_conjecture,[status(cth)],[f5661])).
% 11.03/2.09 fof(f16376,plain,(
% 11.03/2.09 ![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)))),
% 11.03/2.09 inference(pre_NNF_transformation,[status(esa)],[f3813])).
% 11.03/2.09 fof(f16377,plain,(
% 11.03/2.09 ![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)))),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f16376])).
% 11.03/2.09 fof(f17652,plain,(
% 11.03/2.09 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_group_2(B,A)|v4_group_1(B))))),
% 11.03/2.09 inference(pre_NNF_transformation,[status(esa)],[f4339])).
% 11.03/2.09 fof(f17653,plain,(
% 11.03/2.09 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|v4_group_1(X1))),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f17652])).
% 11.03/2.09 fof(f17823,plain,(
% 11.03/2.09 ![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_group_2(C,A)|(~r1_rlvect_1(C,B)|r1_rlvect_1(C,k3_group_1(A,B))))))))),
% 11.03/2.09 inference(pre_NNF_transformation,[status(esa)],[f4404])).
% 11.03/2.09 fof(f17824,plain,(
% 11.03/2.09 ![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_group_2(X2,X0)|~r1_rlvect_1(X2,X1)|r1_rlvect_1(X2,k3_group_1(X0,X1)))),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f17823])).
% 11.03/2.09 fof(f17835,plain,(
% 11.03/2.09 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|m1_group_2(A,A))),
% 11.03/2.09 inference(pre_NNF_transformation,[status(esa)],[f4407])).
% 11.03/2.09 fof(f17836,plain,(
% 11.03/2.09 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|m1_group_2(X0,X0))),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f17835])).
% 11.03/2.09 fof(f17839,plain,(
% 11.03/2.09 ![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]: ((((v3_struct_0(C)|~v3_group_1(C))|~v4_group_1(C))|~l1_group_1(C))|((~m1_group_2(A,B)|~m1_group_2(B,C))|m1_group_2(A,C)))))))),
% 11.03/2.09 inference(pre_NNF_transformation,[status(esa)],[f4409])).
% 11.03/2.09 fof(f17840,plain,(
% 11.03/2.09 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v3_struct_0(X1)|~v3_group_1(X1)|~v4_group_1(X1)|~l1_group_1(X1)|v3_struct_0(X2)|~v3_group_1(X2)|~v4_group_1(X2)|~l1_group_1(X2)|~m1_group_2(X0,X1)|~m1_group_2(X1,X2)|m1_group_2(X0,X2))),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f17839])).
% 11.03/2.09 fof(f18200,plain,(
% 11.03/2.09 ![A]: (((v3_struct_0(A)|~v3_group_1(A))|~l1_group_1(A))|(![B]: (~m1_group_2(B,A)|((~v3_struct_0(B)&v3_group_1(B))&l1_group_1(B)))))),
% 11.03/2.09 inference(pre_NNF_transformation,[status(esa)],[f4540])).
% 11.03/2.09 fof(f18201,plain,(
% 11.03/2.09 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~v3_struct_0(X1))),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f18200])).
% 11.03/2.09 fof(f18202,plain,(
% 11.03/2.09 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|v3_group_1(X1))),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f18200])).
% 11.03/2.09 fof(f18203,plain,(
% 11.03/2.09 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|l1_group_1(X1))),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f18200])).
% 11.03/2.09 fof(f22084,plain,(
% 11.03/2.09 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: ((~v1_group_1(B)|~m1_group_2(B,A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|(r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))<=>r1_rlvect_1(B,C)))))))),
% 11.03/2.09 inference(pre_NNF_transformation,[status(esa)],[f5657])).
% 11.03/2.09 fof(f22085,plain,(
% 11.03/2.09 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: ((~v1_group_1(B)|~m1_group_2(B,A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|((~r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))|r1_rlvect_1(B,C))&(r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))|~r1_rlvect_1(B,C))))))))),
% 11.03/2.09 inference(NNF_transformation,[status(esa)],[f22084])).
% 11.03/2.09 fof(f22086,plain,(
% 11.03/2.09 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~v1_group_1(X1)|~m1_group_2(X1,X0)|~m1_subset_1(X2,u1_struct_0(X0))|~r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))|r1_rlvect_1(X1,X2))),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f22085])).
% 11.03/2.09 fof(f22087,plain,(
% 11.03/2.09 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~v1_group_1(X1)|~m1_group_2(X1,X0)|~m1_subset_1(X2,u1_struct_0(X0))|r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))|~r1_rlvect_1(X1,X2))),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f22085])).
% 11.03/2.09 fof(f22094,plain,(
% 11.03/2.09 (?[A]: ((((~v3_struct_0(A)&v3_group_1(A))&v4_group_1(A))&l1_group_1(A))&(?[B]: ((v1_group_1(B)&m1_group_2(B,A))&(?[C]: (m1_subset_1(C,u1_struct_0(A))&(r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))&~r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)))))))))),
% 11.03/2.09 inference(pre_NNF_transformation,[status(esa)],[f5662])).
% 11.03/2.09 fof(f22095,plain,(
% 11.03/2.09 ((((~v3_struct_0(sk0_1495)&v3_group_1(sk0_1495))&v4_group_1(sk0_1495))&l1_group_1(sk0_1495))&((v1_group_1(sk0_1496)&m1_group_2(sk0_1496,sk0_1495))&(m1_subset_1(sk0_1497,u1_struct_0(sk0_1495))&(r2_hidden(sk0_1497,k1_funct_1(k1_latsubgr(sk0_1495),sk0_1496))&~r2_hidden(k3_group_1(sk0_1495,sk0_1497),k1_funct_1(k1_latsubgr(sk0_1495),sk0_1496))))))),
% 11.03/2.09 inference(skolemization,[status(esa)],[f22094])).
% 11.03/2.09 fof(f22096,plain,(
% 11.03/2.09 ~v3_struct_0(sk0_1495)),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f22095])).
% 11.03/2.09 fof(f22097,plain,(
% 11.03/2.09 v3_group_1(sk0_1495)),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f22095])).
% 11.03/2.09 fof(f22098,plain,(
% 11.03/2.09 v4_group_1(sk0_1495)),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f22095])).
% 11.03/2.09 fof(f22099,plain,(
% 11.03/2.09 l1_group_1(sk0_1495)),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f22095])).
% 11.03/2.09 fof(f22100,plain,(
% 11.03/2.09 v1_group_1(sk0_1496)),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f22095])).
% 11.03/2.09 fof(f22101,plain,(
% 11.03/2.09 m1_group_2(sk0_1496,sk0_1495)),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f22095])).
% 11.03/2.09 fof(f22102,plain,(
% 11.03/2.09 m1_subset_1(sk0_1497,u1_struct_0(sk0_1495))),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f22095])).
% 11.03/2.09 fof(f22103,plain,(
% 11.03/2.09 r2_hidden(sk0_1497,k1_funct_1(k1_latsubgr(sk0_1495),sk0_1496))),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f22095])).
% 11.03/2.09 fof(f22104,plain,(
% 11.03/2.09 ~r2_hidden(k3_group_1(sk0_1495,sk0_1497),k1_funct_1(k1_latsubgr(sk0_1495),sk0_1496))),
% 11.03/2.09 inference(cnf_transformation,[status(esa)],[f22095])).
% 11.03/2.09 fof(f26843,plain,(
% 11.03/2.09 spl0_653 <=> v3_struct_0(sk0_1495)),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f26844,plain,(
% 11.03/2.09 v3_struct_0(sk0_1495)|~spl0_653),
% 11.03/2.09 inference(component_clause,[status(thm)],[f26843])).
% 11.03/2.09 fof(f26846,plain,(
% 11.03/2.09 spl0_654 <=> v3_group_1(sk0_1495)),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f26848,plain,(
% 11.03/2.09 ~v3_group_1(sk0_1495)|spl0_654),
% 11.03/2.09 inference(component_clause,[status(thm)],[f26846])).
% 11.03/2.09 fof(f26849,plain,(
% 11.03/2.09 spl0_655 <=> l1_group_1(sk0_1495)),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f26851,plain,(
% 11.03/2.09 ~l1_group_1(sk0_1495)|spl0_655),
% 11.03/2.09 inference(component_clause,[status(thm)],[f26849])).
% 11.03/2.09 fof(f26852,plain,(
% 11.03/2.09 spl0_656 <=> v3_struct_0(sk0_1496)),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f26855,plain,(
% 11.03/2.09 v3_struct_0(sk0_1495)|~v3_group_1(sk0_1495)|~l1_group_1(sk0_1495)|~v3_struct_0(sk0_1496)),
% 11.03/2.09 inference(resolution,[status(thm)],[f18201,f22101])).
% 11.03/2.09 fof(f26856,plain,(
% 11.03/2.09 spl0_653|~spl0_654|~spl0_655|~spl0_656),
% 11.03/2.09 inference(split_clause,[status(thm)],[f26855,f26843,f26846,f26849,f26852])).
% 11.03/2.09 fof(f26857,plain,(
% 11.03/2.09 $false|spl0_655),
% 11.03/2.09 inference(forward_subsumption_resolution,[status(thm)],[f26851,f22099])).
% 11.03/2.09 fof(f26858,plain,(
% 11.03/2.09 spl0_655),
% 11.03/2.09 inference(contradiction_clause,[status(thm)],[f26857])).
% 11.03/2.09 fof(f26859,plain,(
% 11.03/2.09 $false|spl0_654),
% 11.03/2.09 inference(forward_subsumption_resolution,[status(thm)],[f26848,f22097])).
% 11.03/2.09 fof(f26860,plain,(
% 11.03/2.09 spl0_654),
% 11.03/2.09 inference(contradiction_clause,[status(thm)],[f26859])).
% 11.03/2.09 fof(f26861,plain,(
% 11.03/2.09 $false|~spl0_653),
% 11.03/2.09 inference(forward_subsumption_resolution,[status(thm)],[f26844,f22096])).
% 11.03/2.09 fof(f26862,plain,(
% 11.03/2.09 ~spl0_653),
% 11.03/2.09 inference(contradiction_clause,[status(thm)],[f26861])).
% 11.03/2.09 fof(f26863,plain,(
% 11.03/2.09 spl0_657 <=> v3_group_1(sk0_1496)),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f26866,plain,(
% 11.03/2.09 v3_struct_0(sk0_1495)|~v3_group_1(sk0_1495)|~l1_group_1(sk0_1495)|v3_group_1(sk0_1496)),
% 11.03/2.09 inference(resolution,[status(thm)],[f18202,f22101])).
% 11.03/2.09 fof(f26867,plain,(
% 11.03/2.09 spl0_653|~spl0_654|~spl0_655|spl0_657),
% 11.03/2.09 inference(split_clause,[status(thm)],[f26866,f26843,f26846,f26849,f26863])).
% 11.03/2.09 fof(f26868,plain,(
% 11.03/2.09 spl0_658 <=> l1_group_1(sk0_1496)),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f26871,plain,(
% 11.03/2.09 v3_struct_0(sk0_1495)|~v3_group_1(sk0_1495)|~l1_group_1(sk0_1495)|l1_group_1(sk0_1496)),
% 11.03/2.09 inference(resolution,[status(thm)],[f18203,f22101])).
% 11.03/2.09 fof(f26872,plain,(
% 11.03/2.09 spl0_653|~spl0_654|~spl0_655|spl0_658),
% 11.03/2.09 inference(split_clause,[status(thm)],[f26871,f26843,f26846,f26849,f26868])).
% 11.03/2.09 fof(f29289,plain,(
% 11.03/2.09 spl0_813 <=> v4_group_1(sk0_1495)),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f29291,plain,(
% 11.03/2.09 ~v4_group_1(sk0_1495)|spl0_813),
% 11.03/2.09 inference(component_clause,[status(thm)],[f29289])).
% 11.03/2.09 fof(f29292,plain,(
% 11.03/2.09 spl0_814 <=> v4_group_1(sk0_1496)),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f29295,plain,(
% 11.03/2.09 v3_struct_0(sk0_1495)|~v3_group_1(sk0_1495)|~v4_group_1(sk0_1495)|~l1_group_1(sk0_1495)|v4_group_1(sk0_1496)),
% 11.03/2.09 inference(resolution,[status(thm)],[f17653,f22101])).
% 11.03/2.09 fof(f29296,plain,(
% 11.03/2.09 spl0_653|~spl0_654|~spl0_813|~spl0_655|spl0_814),
% 11.03/2.09 inference(split_clause,[status(thm)],[f29295,f26843,f26846,f29289,f26849,f29292])).
% 11.03/2.09 fof(f29297,plain,(
% 11.03/2.09 $false|spl0_813),
% 11.03/2.09 inference(forward_subsumption_resolution,[status(thm)],[f29291,f22098])).
% 11.03/2.09 fof(f29298,plain,(
% 11.03/2.09 spl0_813),
% 11.03/2.09 inference(contradiction_clause,[status(thm)],[f29297])).
% 11.03/2.09 fof(f29787,plain,(
% 11.03/2.09 ![X0,X1,X2]: (~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v3_struct_0(X1)|~v3_group_1(X1)|~v4_group_1(X1)|~l1_group_1(X1)|v3_struct_0(X2)|~v3_group_1(X2)|~v4_group_1(X2)|~l1_group_1(X2)|~m1_group_2(X0,X1)|~m1_group_2(X1,X2)|m1_group_2(X0,X2))),
% 11.03/2.09 inference(forward_subsumption_resolution,[status(thm)],[f17840,f18201])).
% 11.03/2.09 fof(f29788,plain,(
% 11.03/2.09 spl0_822 <=> ~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X0,sk0_1496)|m1_group_2(X0,sk0_1495)),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f29789,plain,(
% 11.03/2.09 ![X0]: (~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X0,sk0_1496)|m1_group_2(X0,sk0_1495)|~spl0_822)),
% 11.03/2.09 inference(component_clause,[status(thm)],[f29788])).
% 11.03/2.09 fof(f29791,plain,(
% 11.03/2.09 ![X0]: (~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v3_struct_0(sk0_1496)|~v3_group_1(sk0_1496)|~v4_group_1(sk0_1496)|~l1_group_1(sk0_1496)|v3_struct_0(sk0_1495)|~v3_group_1(sk0_1495)|~v4_group_1(sk0_1495)|~l1_group_1(sk0_1495)|~m1_group_2(X0,sk0_1496)|m1_group_2(X0,sk0_1495))),
% 11.03/2.09 inference(resolution,[status(thm)],[f29787,f22101])).
% 11.03/2.09 fof(f29792,plain,(
% 11.03/2.09 spl0_822|spl0_656|~spl0_657|~spl0_814|~spl0_658|spl0_653|~spl0_654|~spl0_813|~spl0_655),
% 11.03/2.09 inference(split_clause,[status(thm)],[f29791,f29788,f26852,f26863,f29292,f26868,f26843,f26846,f29289,f26849])).
% 11.03/2.09 fof(f29901,plain,(
% 11.03/2.09 spl0_823 <=> m1_group_2(sk0_1496,sk0_1495)),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f29904,plain,(
% 11.03/2.09 ~v3_group_1(sk0_1496)|~v4_group_1(sk0_1496)|~l1_group_1(sk0_1496)|m1_group_2(sk0_1496,sk0_1495)|v3_struct_0(sk0_1496)|~v3_group_1(sk0_1496)|~v4_group_1(sk0_1496)|~l1_group_1(sk0_1496)|~spl0_822),
% 11.03/2.09 inference(resolution,[status(thm)],[f29789,f17836])).
% 11.03/2.09 fof(f29905,plain,(
% 11.03/2.09 ~spl0_657|~spl0_814|~spl0_658|spl0_823|spl0_656|~spl0_822),
% 11.03/2.09 inference(split_clause,[status(thm)],[f29904,f26863,f29292,f26868,f29901,f26852,f29788])).
% 11.03/2.09 fof(f31959,plain,(
% 11.03/2.09 spl0_904 <=> v1_group_1(sk0_1496)),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f31961,plain,(
% 11.03/2.09 ~v1_group_1(sk0_1496)|spl0_904),
% 11.03/2.09 inference(component_clause,[status(thm)],[f31959])).
% 11.03/2.09 fof(f31962,plain,(
% 11.03/2.09 spl0_905 <=> m1_subset_1(sk0_1497,u1_struct_0(sk0_1495))),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f31964,plain,(
% 11.03/2.09 ~m1_subset_1(sk0_1497,u1_struct_0(sk0_1495))|spl0_905),
% 11.03/2.09 inference(component_clause,[status(thm)],[f31962])).
% 11.03/2.09 fof(f31965,plain,(
% 11.03/2.09 spl0_906 <=> r1_rlvect_1(sk0_1496,sk0_1497)),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f31968,plain,(
% 11.03/2.09 v3_struct_0(sk0_1495)|~v3_group_1(sk0_1495)|~v4_group_1(sk0_1495)|~l1_group_1(sk0_1495)|~v1_group_1(sk0_1496)|~m1_group_2(sk0_1496,sk0_1495)|~m1_subset_1(sk0_1497,u1_struct_0(sk0_1495))|r1_rlvect_1(sk0_1496,sk0_1497)),
% 11.03/2.09 inference(resolution,[status(thm)],[f22086,f22103])).
% 11.03/2.09 fof(f31969,plain,(
% 11.03/2.09 spl0_653|~spl0_654|~spl0_813|~spl0_655|~spl0_904|~spl0_823|~spl0_905|spl0_906),
% 11.03/2.09 inference(split_clause,[status(thm)],[f31968,f26843,f26846,f29289,f26849,f31959,f29901,f31962,f31965])).
% 11.03/2.09 fof(f31974,plain,(
% 11.03/2.09 $false|spl0_905),
% 11.03/2.09 inference(forward_subsumption_resolution,[status(thm)],[f31964,f22102])).
% 11.03/2.09 fof(f31975,plain,(
% 11.03/2.09 spl0_905),
% 11.03/2.09 inference(contradiction_clause,[status(thm)],[f31974])).
% 11.03/2.09 fof(f31976,plain,(
% 11.03/2.09 $false|spl0_904),
% 11.03/2.09 inference(forward_subsumption_resolution,[status(thm)],[f31961,f22100])).
% 11.03/2.09 fof(f31977,plain,(
% 11.03/2.09 spl0_904),
% 11.03/2.09 inference(contradiction_clause,[status(thm)],[f31976])).
% 11.03/2.09 fof(f32620,plain,(
% 11.03/2.09 spl0_918 <=> m1_subset_1(k3_group_1(sk0_1495,sk0_1497),u1_struct_0(sk0_1495))),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f32622,plain,(
% 11.03/2.09 ~m1_subset_1(k3_group_1(sk0_1495,sk0_1497),u1_struct_0(sk0_1495))|spl0_918),
% 11.03/2.09 inference(component_clause,[status(thm)],[f32620])).
% 11.03/2.09 fof(f32623,plain,(
% 11.03/2.09 spl0_919 <=> r1_rlvect_1(sk0_1496,k3_group_1(sk0_1495,sk0_1497))),
% 11.03/2.09 introduced(split_symbol_definition)).
% 11.03/2.09 fof(f32625,plain,(
% 11.03/2.09 ~r1_rlvect_1(sk0_1496,k3_group_1(sk0_1495,sk0_1497))|spl0_919),
% 11.03/2.09 inference(component_clause,[status(thm)],[f32623])).
% 11.03/2.09 fof(f32626,plain,(
% 11.03/2.09 v3_struct_0(sk0_1495)|~v3_group_1(sk0_1495)|~v4_group_1(sk0_1495)|~l1_group_1(sk0_1495)|~v1_group_1(sk0_1496)|~m1_group_2(sk0_1496,sk0_1495)|~m1_subset_1(k3_group_1(sk0_1495,sk0_1497),u1_struct_0(sk0_1495))|~r1_rlvect_1(sk0_1496,k3_group_1(sk0_1495,sk0_1497))),
% 11.39/2.18 inference(resolution,[status(thm)],[f22087,f22104])).
% 11.39/2.18 fof(f32627,plain,(
% 11.39/2.18 spl0_653|~spl0_654|~spl0_813|~spl0_655|~spl0_904|~spl0_823|~spl0_918|~spl0_919),
% 11.39/2.18 inference(split_clause,[status(thm)],[f32626,f26843,f26846,f29289,f26849,f31959,f29901,f32620,f32623])).
% 11.39/2.18 fof(f32948,plain,(
% 11.39/2.18 v3_struct_0(sk0_1495)|~v3_group_1(sk0_1495)|~v4_group_1(sk0_1495)|~l1_group_1(sk0_1495)|~m1_subset_1(sk0_1497,u1_struct_0(sk0_1495))|spl0_918),
% 11.39/2.18 inference(resolution,[status(thm)],[f32622,f16377])).
% 11.39/2.18 fof(f32949,plain,(
% 11.39/2.18 spl0_653|~spl0_654|~spl0_813|~spl0_655|~spl0_905|spl0_918),
% 11.39/2.18 inference(split_clause,[status(thm)],[f32948,f26843,f26846,f29289,f26849,f31962,f32620])).
% 11.39/2.18 fof(f33515,plain,(
% 11.39/2.18 v3_struct_0(sk0_1495)|~v3_group_1(sk0_1495)|~v4_group_1(sk0_1495)|~l1_group_1(sk0_1495)|~m1_subset_1(sk0_1497,u1_struct_0(sk0_1495))|~m1_group_2(sk0_1496,sk0_1495)|~r1_rlvect_1(sk0_1496,sk0_1497)|spl0_919),
% 11.39/2.18 inference(resolution,[status(thm)],[f32625,f17824])).
% 11.39/2.18 fof(f33516,plain,(
% 11.39/2.18 spl0_653|~spl0_654|~spl0_813|~spl0_655|~spl0_905|~spl0_823|~spl0_906|spl0_919),
% 11.39/2.18 inference(split_clause,[status(thm)],[f33515,f26843,f26846,f29289,f26849,f31962,f29901,f31965,f32623])).
% 11.39/2.18 fof(f33517,plain,(
% 11.39/2.18 $false),
% 11.39/2.18 inference(sat_refutation,[status(thm)],[f26856,f26858,f26860,f26862,f26867,f26872,f29296,f29298,f29792,f29905,f31969,f31975,f31977,f32627,f32949,f33516])).
% 11.39/2.18 % SZS output end CNFRefutation for theBenchmark.p
% 11.39/2.19 % Elapsed time: 1.834264 seconds
% 11.39/2.19 % CPU time: 11.475919 seconds
% 11.39/2.19 % Total memory used: 979.761 MB
% 11.39/2.19 % Net memory used: 973.450 MB
%------------------------------------------------------------------------------