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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GRP644+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 10:18:22 AM UTC 2026

% Result   : Theorem 0.11s 0.46s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   69 (  16 unt;   2 def)
%            Number of atoms       :  314 (   0 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  423 ( 178   ~; 180   |;  44   &)
%                                         (   5 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   50 (   0 sgn  44   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0) )
     => ! [X1] :
          ( ( v1_group_1(X1)
            & m1_group_2(X1,X0) )
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
               => r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_latsubgr) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v3_group_1(X0)
          & v4_group_1(X0)
          & l1_group_1(X0) )
       => ! [X1] :
            ( ( v1_group_1(X1)
              & m1_group_2(X1,X0) )
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
                 => r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f16,axiom,
    ! [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)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_group_1) ).

fof(f47,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0) )
     => ! [X1] :
          ( ( v1_group_1(X1)
            & m1_group_2(X1,X0) )
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              <=> r1_rlvect_1(X1,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_latsubgr) ).

fof(f53,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_group_2(X2,X0)
             => ( r1_rlvect_1(X2,X1)
               => r1_rlvect_1(X2,k3_group_1(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_group_2) ).

fof(f62,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
              & r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & v1_group_1(X1)
          & m1_group_2(X1,X0) )
      & ~ v3_struct_0(X0)
      & v3_group_1(X0)
      & v4_group_1(X0)
      & l1_group_1(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f63,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
              & r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & v1_group_1(X1)
          & m1_group_2(X1,X0) )
      & ~ v3_struct_0(X0)
      & v3_group_1(X0)
      & v4_group_1(X0)
      & l1_group_1(X0) ),
    inference(flattening,[],[f62]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(flattening,[],[f77]) ).

fof(f97,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              <=> r1_rlvect_1(X1,X2) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ v1_group_1(X1)
          | ~ m1_group_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f98,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
              <=> r1_rlvect_1(X1,X2) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ v1_group_1(X1)
          | ~ m1_group_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(flattening,[],[f97]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_rlvect_1(X2,k3_group_1(X0,X1))
              | ~ r1_rlvect_1(X2,X1)
              | ~ m1_group_2(X2,X0) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f107,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_rlvect_1(X2,k3_group_1(X0,X1))
              | ~ r1_rlvect_1(X2,X1)
              | ~ m1_group_2(X2,X0) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(flattening,[],[f106]) ).

fof(f111,plain,
    ( ~ r2_hidden(k3_group_1(sK0,sK2),k1_funct_1(k1_latsubgr(sK0),sK1))
    & r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
    & m1_subset_1(sK2,u1_struct_0(sK0))
    & v1_group_1(sK1)
    & m1_group_2(sK1,sK0)
    & ~ v3_struct_0(sK0)
    & v3_group_1(sK0)
    & v4_group_1(sK0)
    & l1_group_1(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f63]) ).

fof(f127,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
                  | ~ r1_rlvect_1(X1,X2) )
                & ( r1_rlvect_1(X1,X2)
                  | ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ v1_group_1(X1)
          | ~ m1_group_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(nnf_transformation,[],[f98]) ).

fof(f128,plain,
    l1_group_1(sK0),
    inference(cnf_transformation,[],[f111]) ).

fof(f129,plain,
    v4_group_1(sK0),
    inference(cnf_transformation,[],[f111]) ).

fof(f130,plain,
    v3_group_1(sK0),
    inference(cnf_transformation,[],[f111]) ).

fof(f131,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f111]) ).

fof(f132,plain,
    m1_group_2(sK1,sK0),
    inference(cnf_transformation,[],[f111]) ).

fof(f133,plain,
    v1_group_1(sK1),
    inference(cnf_transformation,[],[f111]) ).

fof(f134,plain,
    m1_subset_1(sK2,u1_struct_0(sK0)),
    inference(cnf_transformation,[],[f111]) ).

fof(f135,plain,
    r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)),
    inference(cnf_transformation,[],[f111]) ).

fof(f136,plain,
    ~ r2_hidden(k3_group_1(sK0,sK2),k1_funct_1(k1_latsubgr(sK0),sK1)),
    inference(cnf_transformation,[],[f111]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f193,plain,
    ! [X2,X0,X1] :
      ( ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
      | r1_rlvect_1(X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ v1_group_1(X1)
      | ~ m1_group_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f194,plain,
    ! [X2,X0,X1] :
      ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
      | ~ r1_rlvect_1(X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ v1_group_1(X1)
      | ~ m1_group_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f200,plain,
    ! [X2,X0,X1] :
      ( r1_rlvect_1(X2,k3_group_1(X0,X1))
      | ~ r1_rlvect_1(X2,X1)
      | ~ m1_group_2(X2,X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f397,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | ~ v1_group_1(sK1)
    | ~ m1_group_2(sK1,sK0)
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(resolution,[],[f193,f135]) ).

fof(f399,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ v1_group_1(sK1)
    | ~ m1_group_2(sK1,sK0)
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f397,f134]) ).

fof(f400,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ m1_group_2(sK1,sK0)
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f399,f133]) ).

fof(f401,plain,
    ( r1_rlvect_1(sK1,sK2)
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f400,f132]) ).

fof(f402,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f401,f131]) ).

fof(f403,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f402,f130]) ).

fof(f404,plain,
    ( r1_rlvect_1(sK1,sK2)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f403,f129]) ).

fof(f405,plain,
    r1_rlvect_1(sK1,sK2),
    inference(forward_subsumption_resolution,[],[f404,f128]) ).

fof(f410,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ v1_group_1(sK1)
    | ~ m1_group_2(sK1,sK0)
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(resolution,[],[f194,f136]) ).

fof(f413,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ m1_group_2(sK1,sK0)
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f410,f133]) ).

fof(f414,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f413,f132]) ).

fof(f415,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f414,f131]) ).

fof(f416,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f415,f130]) ).

fof(f417,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f416,f129]) ).

fof(f418,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f417,f128]) ).

fof(f420,definition,
    ( spl17_11
  <=> m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).

fof(f422,plain,
    ( ~ m1_subset_1(k3_group_1(sK0,sK2),u1_struct_0(sK0))
    | spl17_11 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f424,definition,
    ( spl17_12
  <=> r1_rlvect_1(sK1,k3_group_1(sK0,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).

fof(f426,plain,
    ( ~ r1_rlvect_1(sK1,k3_group_1(sK0,sK2))
    | spl17_12 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f427,plain,
    ( ~ spl17_11
    | ~ spl17_12 ),
    inference(avatar_split_clause,[],[f418,f424,f420]) ).

fof(f428,plain,
    ( v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | spl17_11 ),
    inference(resolution,[],[f422,f153]) ).

fof(f429,plain,
    ( ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | spl17_11 ),
    inference(forward_subsumption_resolution,[],[f428,f131]) ).

fof(f430,plain,
    ( ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | spl17_11 ),
    inference(forward_subsumption_resolution,[],[f429,f130]) ).

fof(f431,plain,
    ( ~ l1_group_1(sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | spl17_11 ),
    inference(forward_subsumption_resolution,[],[f430,f129]) ).

fof(f432,plain,
    ( ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | spl17_11 ),
    inference(forward_subsumption_resolution,[],[f431,f128]) ).

fof(f433,plain,
    ( $false
    | spl17_11 ),
    inference(forward_subsumption_resolution,[],[f432,f134]) ).

fof(f434,plain,
    spl17_11,
    inference(avatar_contradiction_clause,[],[f433]) ).

fof(f435,plain,
    ( ~ r1_rlvect_1(sK1,sK2)
    | ~ m1_group_2(sK1,sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | spl17_12 ),
    inference(resolution,[],[f426,f200]) ).

fof(f436,plain,
    ( ~ m1_group_2(sK1,sK0)
    | ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | spl17_12 ),
    inference(forward_subsumption_resolution,[],[f435,f405]) ).

fof(f437,plain,
    ( ~ m1_subset_1(sK2,u1_struct_0(sK0))
    | v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | spl17_12 ),
    inference(forward_subsumption_resolution,[],[f436,f132]) ).

fof(f438,plain,
    ( v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | spl17_12 ),
    inference(forward_subsumption_resolution,[],[f437,f134]) ).

fof(f439,plain,
    ( ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | spl17_12 ),
    inference(forward_subsumption_resolution,[],[f438,f131]) ).

fof(f440,plain,
    ( ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | spl17_12 ),
    inference(forward_subsumption_resolution,[],[f439,f130]) ).

fof(f441,plain,
    ( ~ l1_group_1(sK0)
    | spl17_12 ),
    inference(forward_subsumption_resolution,[],[f440,f129]) ).

fof(f442,plain,
    ( $false
    | spl17_12 ),
    inference(forward_subsumption_resolution,[],[f441,f128]) ).

fof(f443,plain,
    spl17_12,
    inference(avatar_contradiction_clause,[],[f442]) ).

cnf(s12,plain,
    ( ~ spl17_11
    | ~ spl17_12 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s13,plain,
    spl17_11,
    inference(sat_conversion,[],[f434]) ).

cnf(s14,plain,
    spl17_12,
    inference(sat_conversion,[],[f443]) ).

cnf(s15,plain,
    $false,
    inference(rat,[],[s12,s14,s13]) ).

fof(f444,plain,
    $false,
    inference(avatar_sat_refutation,[],[s15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP644+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n026.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 10:27:41 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.46  % (2622556)Will run a generic schedule for satisfiability detection.
% 0.11/0.46  % (2622562)% WARNING: option uhcvi not known.
% 0.11/0.46  % (2622562)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2940712515:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46  % (2622561)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1024171747_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46  % (2622567)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3680458484:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46  % (2622564)dis+10_1_sil=32000:sp=arity:random_seed=1762284305:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46  % (2622563)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2108420719:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46  % (2622565)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4238572494:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46  % (2622566)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3297399755:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46  % TRYING [1]
% 0.11/0.46  % TRYING [2]
% 0.11/0.46  % TRYING [3]
% 0.11/0.46  % (2622564) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2622556-2622564"...
% 0.11/0.46  % (2622564)...printing done.
% 0.11/0.46  % TRYING [4]
% 0.11/0.46  % (2622564)Refutation found. Thanks to Tanya!
% 0.11/0.46  % SZS status Theorem for theBenchmark
% 0.11/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46  % (2622564)------------------------------
% 0.17/0.46  % (2622564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46  % (2622564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46  % (2622564)CaDiCaL version: 2.1.3
% 0.17/0.46  % (2622564)Termination reason: Refutation
% 0.17/0.46  % (2622564)Time elapsed: 0.010 s
% 0.17/0.46  % (2622564)Peak memory usage: 12 MB
% 0.17/0.46  % (2622564)Instructions burned: 11 (million)
% 0.17/0.46  % (2622556)Success in time 0.045 s
% 0.17/0.46  % Vampire exiting
%------------------------------------------------------------------------------