TSTP Solution File: GRP644+2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% 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 : n031.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 12:12:23 EDT 2023

% Result   : Theorem 9.91s 1.94s
% Output   : CNFRefutation 10.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP644+2 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n031.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 May 30 11:55:53 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.51/0.72  % Drodi V3.5.1
% 9.91/1.94  % Refutation found
% 9.91/1.94  % SZS status Theorem for theBenchmark: Theorem is valid
% 9.91/1.94  % SZS output start CNFRefutation for theBenchmark
% 9.91/1.94  fof(f3813,axiom,(
% 9.91/1.94    (! [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)) ) )),
% 9.91/1.94    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.91/1.94  fof(f4339,axiom,(
% 9.91/1.94    (! [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) ) )) )),
% 9.91/1.94    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.91/1.94  fof(f4404,axiom,(
% 9.91/1.94    (! [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)) ) ) )) )) )),
% 9.91/1.94    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.91/1.94  fof(f4407,axiom,(
% 9.91/1.94    (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> m1_group_2(A,A) ) )),
% 9.91/1.94    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.91/1.94  fof(f4409,axiom,(
% 9.91/1.94    (! [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) ) ) )) )) )),
% 9.91/1.94    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.91/1.94  fof(f4540,axiom,(
% 9.91/1.94    (! [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) ) ) )) )),
% 9.91/1.94    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.91/1.94  fof(f5657,axiom,(
% 9.91/1.94    (! [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) ) ) )) )) )),
% 9.91/1.94    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.91/1.94  fof(f5661,conjecture,(
% 9.91/1.94    (! [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)) ) ) )) )) )),
% 9.91/1.94    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.91/1.94  fof(f5662,negated_conjecture,(
% 9.91/1.94    ~((! [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)) ) ) )) )) ))),
% 9.91/1.94    inference(negated_conjecture,[status(cth)],[f5661])).
% 9.91/1.94  fof(f16376,plain,(
% 9.91/1.94    ![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)))),
% 9.91/1.94    inference(pre_NNF_transformation,[status(esa)],[f3813])).
% 9.91/1.94  fof(f16377,plain,(
% 9.91/1.94    ![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)))),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f16376])).
% 9.91/1.94  fof(f17652,plain,(
% 9.91/1.94    ![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))))),
% 9.91/1.94    inference(pre_NNF_transformation,[status(esa)],[f4339])).
% 9.91/1.94  fof(f17653,plain,(
% 9.91/1.94    ![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))),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f17652])).
% 9.91/1.94  fof(f17823,plain,(
% 9.91/1.94    ![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))))))))),
% 9.91/1.94    inference(pre_NNF_transformation,[status(esa)],[f4404])).
% 9.91/1.94  fof(f17824,plain,(
% 9.91/1.94    ![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)))),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f17823])).
% 9.91/1.94  fof(f17835,plain,(
% 9.91/1.94    ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|m1_group_2(A,A))),
% 9.91/1.94    inference(pre_NNF_transformation,[status(esa)],[f4407])).
% 9.91/1.94  fof(f17836,plain,(
% 9.91/1.94    ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|m1_group_2(X0,X0))),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f17835])).
% 9.91/1.94  fof(f17839,plain,(
% 9.91/1.94    ![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)))))))),
% 9.91/1.94    inference(pre_NNF_transformation,[status(esa)],[f4409])).
% 9.91/1.94  fof(f17840,plain,(
% 9.91/1.94    ![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))),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f17839])).
% 9.91/1.94  fof(f18200,plain,(
% 9.91/1.94    ![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)))))),
% 9.91/1.94    inference(pre_NNF_transformation,[status(esa)],[f4540])).
% 9.91/1.94  fof(f18201,plain,(
% 9.91/1.94    ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~v3_struct_0(X1))),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f18200])).
% 9.91/1.94  fof(f18202,plain,(
% 9.91/1.94    ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|v3_group_1(X1))),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f18200])).
% 9.91/1.94  fof(f18203,plain,(
% 9.91/1.94    ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|l1_group_1(X1))),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f18200])).
% 9.91/1.94  fof(f22084,plain,(
% 9.91/1.94    ![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)))))))),
% 9.91/1.94    inference(pre_NNF_transformation,[status(esa)],[f5657])).
% 9.91/1.94  fof(f22085,plain,(
% 9.91/1.94    ![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))))))))),
% 9.91/1.94    inference(NNF_transformation,[status(esa)],[f22084])).
% 9.91/1.94  fof(f22086,plain,(
% 9.91/1.94    ![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))),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f22085])).
% 9.91/1.94  fof(f22087,plain,(
% 9.91/1.94    ![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))),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f22085])).
% 9.91/1.94  fof(f22094,plain,(
% 9.91/1.94    (?[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)))))))))),
% 9.91/1.94    inference(pre_NNF_transformation,[status(esa)],[f5662])).
% 9.91/1.94  fof(f22095,plain,(
% 9.91/1.94    ((((~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))))))),
% 9.91/1.94    inference(skolemization,[status(esa)],[f22094])).
% 9.91/1.94  fof(f22096,plain,(
% 9.91/1.94    ~v3_struct_0(sk0_1495)),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f22095])).
% 9.91/1.94  fof(f22097,plain,(
% 9.91/1.94    v3_group_1(sk0_1495)),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f22095])).
% 9.91/1.94  fof(f22098,plain,(
% 9.91/1.94    v4_group_1(sk0_1495)),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f22095])).
% 9.91/1.94  fof(f22099,plain,(
% 9.91/1.94    l1_group_1(sk0_1495)),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f22095])).
% 9.91/1.94  fof(f22100,plain,(
% 9.91/1.94    v1_group_1(sk0_1496)),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f22095])).
% 9.91/1.94  fof(f22101,plain,(
% 9.91/1.94    m1_group_2(sk0_1496,sk0_1495)),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f22095])).
% 9.91/1.94  fof(f22102,plain,(
% 9.91/1.94    m1_subset_1(sk0_1497,u1_struct_0(sk0_1495))),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f22095])).
% 9.91/1.94  fof(f22103,plain,(
% 9.91/1.94    r2_hidden(sk0_1497,k1_funct_1(k1_latsubgr(sk0_1495),sk0_1496))),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f22095])).
% 9.91/1.94  fof(f22104,plain,(
% 9.91/1.94    ~r2_hidden(k3_group_1(sk0_1495,sk0_1497),k1_funct_1(k1_latsubgr(sk0_1495),sk0_1496))),
% 9.91/1.94    inference(cnf_transformation,[status(esa)],[f22095])).
% 9.91/1.94  fof(f26843,plain,(
% 9.91/1.94    spl0_653 <=> v3_struct_0(sk0_1495)),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f26844,plain,(
% 9.91/1.94    v3_struct_0(sk0_1495)|~spl0_653),
% 9.91/1.94    inference(component_clause,[status(thm)],[f26843])).
% 9.91/1.94  fof(f26846,plain,(
% 9.91/1.94    spl0_654 <=> v3_group_1(sk0_1495)),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f26848,plain,(
% 9.91/1.94    ~v3_group_1(sk0_1495)|spl0_654),
% 9.91/1.94    inference(component_clause,[status(thm)],[f26846])).
% 9.91/1.94  fof(f26849,plain,(
% 9.91/1.94    spl0_655 <=> l1_group_1(sk0_1495)),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f26851,plain,(
% 9.91/1.94    ~l1_group_1(sk0_1495)|spl0_655),
% 9.91/1.94    inference(component_clause,[status(thm)],[f26849])).
% 9.91/1.94  fof(f26852,plain,(
% 9.91/1.94    spl0_656 <=> v3_struct_0(sk0_1496)),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f26855,plain,(
% 9.91/1.94    v3_struct_0(sk0_1495)|~v3_group_1(sk0_1495)|~l1_group_1(sk0_1495)|~v3_struct_0(sk0_1496)),
% 9.91/1.94    inference(resolution,[status(thm)],[f18201,f22101])).
% 9.91/1.94  fof(f26856,plain,(
% 9.91/1.94    spl0_653|~spl0_654|~spl0_655|~spl0_656),
% 9.91/1.94    inference(split_clause,[status(thm)],[f26855,f26843,f26846,f26849,f26852])).
% 9.91/1.94  fof(f26857,plain,(
% 9.91/1.94    $false|spl0_655),
% 9.91/1.94    inference(forward_subsumption_resolution,[status(thm)],[f26851,f22099])).
% 9.91/1.94  fof(f26858,plain,(
% 9.91/1.94    spl0_655),
% 9.91/1.94    inference(contradiction_clause,[status(thm)],[f26857])).
% 9.91/1.94  fof(f26859,plain,(
% 9.91/1.94    $false|spl0_654),
% 9.91/1.94    inference(forward_subsumption_resolution,[status(thm)],[f26848,f22097])).
% 9.91/1.94  fof(f26860,plain,(
% 9.91/1.94    spl0_654),
% 9.91/1.94    inference(contradiction_clause,[status(thm)],[f26859])).
% 9.91/1.94  fof(f26861,plain,(
% 9.91/1.94    $false|~spl0_653),
% 9.91/1.94    inference(forward_subsumption_resolution,[status(thm)],[f26844,f22096])).
% 9.91/1.94  fof(f26862,plain,(
% 9.91/1.94    ~spl0_653),
% 9.91/1.94    inference(contradiction_clause,[status(thm)],[f26861])).
% 9.91/1.94  fof(f26863,plain,(
% 9.91/1.94    spl0_657 <=> v3_group_1(sk0_1496)),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f26866,plain,(
% 9.91/1.94    v3_struct_0(sk0_1495)|~v3_group_1(sk0_1495)|~l1_group_1(sk0_1495)|v3_group_1(sk0_1496)),
% 9.91/1.94    inference(resolution,[status(thm)],[f18202,f22101])).
% 9.91/1.94  fof(f26867,plain,(
% 9.91/1.94    spl0_653|~spl0_654|~spl0_655|spl0_657),
% 9.91/1.94    inference(split_clause,[status(thm)],[f26866,f26843,f26846,f26849,f26863])).
% 9.91/1.94  fof(f26868,plain,(
% 9.91/1.94    spl0_658 <=> l1_group_1(sk0_1496)),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f26871,plain,(
% 9.91/1.94    v3_struct_0(sk0_1495)|~v3_group_1(sk0_1495)|~l1_group_1(sk0_1495)|l1_group_1(sk0_1496)),
% 9.91/1.94    inference(resolution,[status(thm)],[f18203,f22101])).
% 9.91/1.94  fof(f26872,plain,(
% 9.91/1.94    spl0_653|~spl0_654|~spl0_655|spl0_658),
% 9.91/1.94    inference(split_clause,[status(thm)],[f26871,f26843,f26846,f26849,f26868])).
% 9.91/1.94  fof(f29289,plain,(
% 9.91/1.94    spl0_813 <=> v4_group_1(sk0_1495)),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f29291,plain,(
% 9.91/1.94    ~v4_group_1(sk0_1495)|spl0_813),
% 9.91/1.94    inference(component_clause,[status(thm)],[f29289])).
% 9.91/1.94  fof(f29292,plain,(
% 9.91/1.94    spl0_814 <=> v4_group_1(sk0_1496)),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f29295,plain,(
% 9.91/1.94    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)),
% 9.91/1.94    inference(resolution,[status(thm)],[f17653,f22101])).
% 9.91/1.94  fof(f29296,plain,(
% 9.91/1.94    spl0_653|~spl0_654|~spl0_813|~spl0_655|spl0_814),
% 9.91/1.94    inference(split_clause,[status(thm)],[f29295,f26843,f26846,f29289,f26849,f29292])).
% 9.91/1.94  fof(f29297,plain,(
% 9.91/1.94    $false|spl0_813),
% 9.91/1.94    inference(forward_subsumption_resolution,[status(thm)],[f29291,f22098])).
% 9.91/1.94  fof(f29298,plain,(
% 9.91/1.94    spl0_813),
% 9.91/1.94    inference(contradiction_clause,[status(thm)],[f29297])).
% 9.91/1.94  fof(f29787,plain,(
% 9.91/1.94    ![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))),
% 9.91/1.94    inference(forward_subsumption_resolution,[status(thm)],[f17840,f18201])).
% 9.91/1.94  fof(f29788,plain,(
% 9.91/1.94    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)),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f29789,plain,(
% 9.91/1.94    ![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)),
% 9.91/1.94    inference(component_clause,[status(thm)],[f29788])).
% 9.91/1.94  fof(f29791,plain,(
% 9.91/1.94    ![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))),
% 9.91/1.94    inference(resolution,[status(thm)],[f29787,f22101])).
% 9.91/1.94  fof(f29792,plain,(
% 9.91/1.94    spl0_822|spl0_656|~spl0_657|~spl0_814|~spl0_658|spl0_653|~spl0_654|~spl0_813|~spl0_655),
% 9.91/1.94    inference(split_clause,[status(thm)],[f29791,f29788,f26852,f26863,f29292,f26868,f26843,f26846,f29289,f26849])).
% 9.91/1.94  fof(f29901,plain,(
% 9.91/1.94    spl0_823 <=> m1_group_2(sk0_1496,sk0_1495)),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f29904,plain,(
% 9.91/1.94    ~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),
% 9.91/1.94    inference(resolution,[status(thm)],[f29789,f17836])).
% 9.91/1.94  fof(f29905,plain,(
% 9.91/1.94    ~spl0_657|~spl0_814|~spl0_658|spl0_823|spl0_656|~spl0_822),
% 9.91/1.94    inference(split_clause,[status(thm)],[f29904,f26863,f29292,f26868,f29901,f26852,f29788])).
% 9.91/1.94  fof(f31959,plain,(
% 9.91/1.94    spl0_904 <=> v1_group_1(sk0_1496)),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f31961,plain,(
% 9.91/1.94    ~v1_group_1(sk0_1496)|spl0_904),
% 9.91/1.94    inference(component_clause,[status(thm)],[f31959])).
% 9.91/1.94  fof(f31962,plain,(
% 9.91/1.94    spl0_905 <=> m1_subset_1(sk0_1497,u1_struct_0(sk0_1495))),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f31964,plain,(
% 9.91/1.94    ~m1_subset_1(sk0_1497,u1_struct_0(sk0_1495))|spl0_905),
% 9.91/1.94    inference(component_clause,[status(thm)],[f31962])).
% 9.91/1.94  fof(f31965,plain,(
% 9.91/1.94    spl0_906 <=> r1_rlvect_1(sk0_1496,sk0_1497)),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f31968,plain,(
% 9.91/1.94    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)),
% 9.91/1.94    inference(resolution,[status(thm)],[f22086,f22103])).
% 9.91/1.94  fof(f31969,plain,(
% 9.91/1.94    spl0_653|~spl0_654|~spl0_813|~spl0_655|~spl0_904|~spl0_823|~spl0_905|spl0_906),
% 9.91/1.94    inference(split_clause,[status(thm)],[f31968,f26843,f26846,f29289,f26849,f31959,f29901,f31962,f31965])).
% 9.91/1.94  fof(f31974,plain,(
% 9.91/1.94    $false|spl0_905),
% 9.91/1.94    inference(forward_subsumption_resolution,[status(thm)],[f31964,f22102])).
% 9.91/1.94  fof(f31975,plain,(
% 9.91/1.94    spl0_905),
% 9.91/1.94    inference(contradiction_clause,[status(thm)],[f31974])).
% 9.91/1.94  fof(f31976,plain,(
% 9.91/1.94    $false|spl0_904),
% 9.91/1.94    inference(forward_subsumption_resolution,[status(thm)],[f31961,f22100])).
% 9.91/1.94  fof(f31977,plain,(
% 9.91/1.94    spl0_904),
% 9.91/1.94    inference(contradiction_clause,[status(thm)],[f31976])).
% 9.91/1.94  fof(f32620,plain,(
% 9.91/1.94    spl0_918 <=> m1_subset_1(k3_group_1(sk0_1495,sk0_1497),u1_struct_0(sk0_1495))),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f32622,plain,(
% 9.91/1.94    ~m1_subset_1(k3_group_1(sk0_1495,sk0_1497),u1_struct_0(sk0_1495))|spl0_918),
% 9.91/1.94    inference(component_clause,[status(thm)],[f32620])).
% 9.91/1.94  fof(f32623,plain,(
% 9.91/1.94    spl0_919 <=> r1_rlvect_1(sk0_1496,k3_group_1(sk0_1495,sk0_1497))),
% 9.91/1.94    introduced(split_symbol_definition)).
% 9.91/1.94  fof(f32625,plain,(
% 9.91/1.94    ~r1_rlvect_1(sk0_1496,k3_group_1(sk0_1495,sk0_1497))|spl0_919),
% 9.91/1.94    inference(component_clause,[status(thm)],[f32623])).
% 9.91/1.94  fof(f32626,plain,(
% 9.91/1.94    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))),
% 10.23/2.01    inference(resolution,[status(thm)],[f22087,f22104])).
% 10.23/2.01  fof(f32627,plain,(
% 10.23/2.01    spl0_653|~spl0_654|~spl0_813|~spl0_655|~spl0_904|~spl0_823|~spl0_918|~spl0_919),
% 10.23/2.01    inference(split_clause,[status(thm)],[f32626,f26843,f26846,f29289,f26849,f31959,f29901,f32620,f32623])).
% 10.23/2.01  fof(f32948,plain,(
% 10.23/2.01    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),
% 10.23/2.01    inference(resolution,[status(thm)],[f32622,f16377])).
% 10.23/2.01  fof(f32949,plain,(
% 10.23/2.01    spl0_653|~spl0_654|~spl0_813|~spl0_655|~spl0_905|spl0_918),
% 10.23/2.01    inference(split_clause,[status(thm)],[f32948,f26843,f26846,f29289,f26849,f31962,f32620])).
% 10.23/2.01  fof(f33515,plain,(
% 10.23/2.01    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),
% 10.23/2.01    inference(resolution,[status(thm)],[f32625,f17824])).
% 10.23/2.01  fof(f33516,plain,(
% 10.23/2.01    spl0_653|~spl0_654|~spl0_813|~spl0_655|~spl0_905|~spl0_823|~spl0_906|spl0_919),
% 10.23/2.01    inference(split_clause,[status(thm)],[f33515,f26843,f26846,f29289,f26849,f31962,f29901,f31965,f32623])).
% 10.23/2.01  fof(f33517,plain,(
% 10.23/2.01    $false),
% 10.23/2.01    inference(sat_refutation,[status(thm)],[f26856,f26858,f26860,f26862,f26867,f26872,f29296,f29298,f29792,f29905,f31969,f31975,f31977,f32627,f32949,f33516])).
% 10.23/2.01  % SZS output end CNFRefutation for theBenchmark.p
% 10.23/2.01  % Elapsed time: 1.659963 seconds
% 10.23/2.01  % CPU time: 10.055548 seconds
% 10.23/2.01  % Memory used: 925.306 MB
%------------------------------------------------------------------------------