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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : GRP644+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.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 : Thu Sep 24 12:34:57 PM UTC 2026

% Result   : Theorem 81.86s 16.89s
% Output   : CNFRefutation 88.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   79 (  22 unt;  12 def)
%            Number of atoms       :  277 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  325 ( 127   ~; 128   |;  40   &)
%                                         (  14 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   26 (  25 usr;  13 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   46 (  42   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,axiom,
    ! [A] : r1_tarski(k1_xboole_0,A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1265,axiom,
    ? [A] :
      ( v3_ordinal1(A)
      & v2_ordinal1(A)
      & v1_ordinal1(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18994,axiom,
    ! [A,B] :
      ( ( m1_subset_1(B,u1_struct_0(A))
        & l1_group_1(A)
        & v4_group_1(A)
        & v3_group_1(A)
        & ~ v3_struct_0(A) )
     => m1_subset_1(k3_group_1(A,B),u1_struct_0(A)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21871,axiom,
    ! [A] :
      ( ( l1_group_1(A)
        & v4_group_1(A)
        & v3_group_1(A)
        & ~ v3_struct_0(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)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f36508,axiom,
    ! [A] :
      ( ( l1_group_1(A)
        & v4_group_1(A)
        & v3_group_1(A)
        & ~ v3_struct_0(A) )
     => ! [B] :
          ( ( m1_group_2(B,A)
            & v1_group_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
              <=> r1_rlvect_1(B,C) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f36512,conjecture,
    ! [A] :
      ( ( l1_group_1(A)
        & v4_group_1(A)
        & v3_group_1(A)
        & ~ v3_struct_0(A) )
     => ! [B] :
          ( ( m1_group_2(B,A)
            & v1_group_1(B) )
         => ! [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)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f36513,negated_conjecture,
    ~ ! [A] :
        ( ( l1_group_1(A)
          & v4_group_1(A)
          & v3_group_1(A)
          & ~ v3_struct_0(A) )
       => ! [B] :
            ( ( m1_group_2(B,A)
              & v1_group_1(B) )
           => ! [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)) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f36512]) ).

fof(f36742,plain,
    ! [X0] : r1_tarski(k1_xboole_0,X0),
    inference(cnf_transformation,[status(thm)],[f71]) ).

fof(f39463,plain,
    ( v3_ordinal1(sK244_skl)
    & v2_ordinal1(sK244_skl)
    & v1_ordinal1(sK244_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK244_skl]),skolemize(A,sK244_skl)],[f1265]) ).

fof(f39466,plain,
    v3_ordinal1(sK244_skl),
    inference(cnf_transformation,[status(thm)],[f39463]) ).

fof(f97882,plain,
    ! [A,B] :
      ( m1_subset_1(k3_group_1(A,B),u1_struct_0(A))
      | ~ m1_subset_1(B,u1_struct_0(A))
      | ~ l1_group_1(A)
      | ~ v4_group_1(A)
      | ~ v3_group_1(A)
      | v3_struct_0(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f18994]) ).

fof(f97883,plain,
    ! [X0,X1] :
      ( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[status(thm)],[f97882]) ).

fof(f108064,plain,
    ! [A] :
      ( ! [B] :
          ( ! [C] :
              ( r1_rlvect_1(C,k3_group_1(A,B))
              | ~ r1_rlvect_1(C,B)
              | ~ m1_group_2(C,A) )
          | ~ m1_subset_1(B,u1_struct_0(A)) )
      | ~ l1_group_1(A)
      | ~ v4_group_1(A)
      | ~ v3_group_1(A)
      | v3_struct_0(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f21871]) ).

fof(f108065,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))
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[status(thm)],[f108064]) ).

fof(f162770,plain,
    ! [A] :
      ( ! [B] :
          ( ! [C] :
              ( ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
              <=> r1_rlvect_1(B,C) )
              | ~ m1_subset_1(C,u1_struct_0(A)) )
          | ~ m1_group_2(B,A)
          | ~ v1_group_1(B) )
      | ~ l1_group_1(A)
      | ~ v4_group_1(A)
      | ~ v3_group_1(A)
      | v3_struct_0(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f36508]) ).

fof(f162771,plain,
    ! [A] :
      ( ! [B] :
          ( ! [C] :
              ( ( ( ~ r1_rlvect_1(B,C)
                  | 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)) ) )
              | ~ m1_subset_1(C,u1_struct_0(A)) )
          | ~ m1_group_2(B,A)
          | ~ v1_group_1(B) )
      | ~ l1_group_1(A)
      | ~ v4_group_1(A)
      | ~ v3_group_1(A)
      | v3_struct_0(A) ),
    inference(NNF_transformation,[status(thm)],[f162770]) ).

fof(f162772,plain,
    ! [X0,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))
      | ~ m1_group_2(X1,X0)
      | ~ v1_group_1(X1)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[status(thm)],[f162771]) ).

fof(f162773,plain,
    ! [X0,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))
      | ~ m1_group_2(X1,X0)
      | ~ v1_group_1(X1)
      | ~ l1_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ v3_group_1(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[status(thm)],[f162771]) ).

fof(f162780,plain,
    ? [A] :
      ( ? [B] :
          ( ? [C] :
              ( ~ r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B))
              & r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
              & m1_subset_1(C,u1_struct_0(A)) )
          & m1_group_2(B,A)
          & v1_group_1(B) )
      & l1_group_1(A)
      & v4_group_1(A)
      & v3_group_1(A)
      & ~ v3_struct_0(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f36513]) ).

fof(f162781,plain,
    ( ~ r2_hidden(k3_group_1(sK12737_skl,sK12739_skl),k1_funct_1(k1_latsubgr(sK12737_skl),sK12738_skl))
    & r2_hidden(sK12739_skl,k1_funct_1(k1_latsubgr(sK12737_skl),sK12738_skl))
    & m1_subset_1(sK12739_skl,u1_struct_0(sK12737_skl))
    & m1_group_2(sK12738_skl,sK12737_skl)
    & v1_group_1(sK12738_skl)
    & l1_group_1(sK12737_skl)
    & v4_group_1(sK12737_skl)
    & v3_group_1(sK12737_skl)
    & ~ v3_struct_0(sK12737_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12737_skl,sK12738_skl,sK12739_skl]),skolemize(A,sK12737_skl),skolemize(B,sK12738_skl),skolemize(C,sK12739_skl)],[f162780]) ).

fof(f162782,plain,
    ~ v3_struct_0(sK12737_skl),
    inference(cnf_transformation,[status(thm)],[f162781]) ).

fof(f162783,plain,
    v3_group_1(sK12737_skl),
    inference(cnf_transformation,[status(thm)],[f162781]) ).

fof(f162784,plain,
    v4_group_1(sK12737_skl),
    inference(cnf_transformation,[status(thm)],[f162781]) ).

fof(f162785,plain,
    l1_group_1(sK12737_skl),
    inference(cnf_transformation,[status(thm)],[f162781]) ).

fof(f162786,plain,
    v1_group_1(sK12738_skl),
    inference(cnf_transformation,[status(thm)],[f162781]) ).

fof(f162787,plain,
    m1_group_2(sK12738_skl,sK12737_skl),
    inference(cnf_transformation,[status(thm)],[f162781]) ).

fof(f162788,plain,
    m1_subset_1(sK12739_skl,u1_struct_0(sK12737_skl)),
    inference(cnf_transformation,[status(thm)],[f162781]) ).

fof(f162789,plain,
    r2_hidden(sK12739_skl,k1_funct_1(k1_latsubgr(sK12737_skl),sK12738_skl)),
    inference(cnf_transformation,[status(thm)],[f162781]) ).

fof(f162790,plain,
    ~ r2_hidden(k3_group_1(sK12737_skl,sK12739_skl),k1_funct_1(k1_latsubgr(sK12737_skl),sK12738_skl)),
    inference(cnf_transformation,[status(thm)],[f162781]) ).

fof(f181738,definition,
    ! [X1] :
      ( sQ57_spl
    <=> ~ v3_ordinal1(X1) ),
    introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).

fof(f181739,plain,
    ! [X0] :
      ( ~ sQ57_spl
      | ~ v3_ordinal1(X0) ),
    inference(component_clause,[status(thm)],[f181738]) ).

fof(f196593,definition,
    ( sQ3079_spl
  <=> v3_struct_0(sK12737_skl) ),
    introduced(definition,[new_symbols(definition,[sQ3079_spl])],[split_symbol_definition]) ).

fof(f196594,plain,
    ( ~ sQ3079_spl
    | v3_struct_0(sK12737_skl) ),
    inference(component_clause,[status(thm)],[f196593]) ).

fof(f196596,definition,
    ( sQ3080_spl
  <=> v3_group_1(sK12737_skl) ),
    introduced(definition,[new_symbols(definition,[sQ3080_spl])],[split_symbol_definition]) ).

fof(f196598,plain,
    ( sQ3080_spl
    | ~ v3_group_1(sK12737_skl) ),
    inference(component_clause,[status(thm)],[f196596]) ).

fof(f196599,definition,
    ( sQ3081_spl
  <=> v4_group_1(sK12737_skl) ),
    introduced(definition,[new_symbols(definition,[sQ3081_spl])],[split_symbol_definition]) ).

fof(f196601,plain,
    ( sQ3081_spl
    | ~ v4_group_1(sK12737_skl) ),
    inference(component_clause,[status(thm)],[f196599]) ).

fof(f196602,definition,
    ( sQ3082_spl
  <=> l1_group_1(sK12737_skl) ),
    introduced(definition,[new_symbols(definition,[sQ3082_spl])],[split_symbol_definition]) ).

fof(f196604,plain,
    ( sQ3082_spl
    | ~ l1_group_1(sK12737_skl) ),
    inference(component_clause,[status(thm)],[f196602]) ).

fof(f196609,plain,
    ( sQ3082_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f196604,f162785]) ).

fof(f196610,plain,
    sQ3082_spl,
    inference(contradiction_clause,[status(thm)],[f196609]) ).

fof(f196611,plain,
    ( sQ3081_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f196601,f162784]) ).

fof(f196612,plain,
    sQ3081_spl,
    inference(contradiction_clause,[status(thm)],[f196611]) ).

fof(f196613,plain,
    ( sQ3080_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f196598,f162783]) ).

fof(f196614,plain,
    sQ3080_spl,
    inference(contradiction_clause,[status(thm)],[f196613]) ).

fof(f196615,plain,
    ( ~ sQ3079_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f196594,f162782]) ).

fof(f196616,plain,
    ~ sQ3079_spl,
    inference(contradiction_clause,[status(thm)],[f196615]) ).

fof(f197682,definition,
    ( sQ3091_spl
  <=> v1_group_1(sK12738_skl) ),
    introduced(definition,[new_symbols(definition,[sQ3091_spl])],[split_symbol_definition]) ).

fof(f197684,plain,
    ( sQ3091_spl
    | ~ v1_group_1(sK12738_skl) ),
    inference(component_clause,[status(thm)],[f197682]) ).

fof(f197685,definition,
    ( sQ3092_spl
  <=> m1_group_2(sK12738_skl,sK12737_skl) ),
    introduced(definition,[new_symbols(definition,[sQ3092_spl])],[split_symbol_definition]) ).

fof(f197687,plain,
    ( sQ3092_spl
    | ~ m1_group_2(sK12738_skl,sK12737_skl) ),
    inference(component_clause,[status(thm)],[f197685]) ).

fof(f197695,plain,
    ( sQ3092_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f197687,f162787]) ).

fof(f197696,plain,
    sQ3092_spl,
    inference(contradiction_clause,[status(thm)],[f197695]) ).

fof(f197697,plain,
    ( sQ3091_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f197684,f162786]) ).

fof(f197698,plain,
    sQ3091_spl,
    inference(contradiction_clause,[status(thm)],[f197697]) ).

fof(f201132,plain,
    ( r1_rlvect_1(sK12738_skl,sK12739_skl)
    | ~ m1_subset_1(sK12739_skl,u1_struct_0(sK12737_skl))
    | ~ m1_group_2(sK12738_skl,sK12737_skl)
    | ~ v1_group_1(sK12738_skl)
    | ~ l1_group_1(sK12737_skl)
    | ~ v4_group_1(sK12737_skl)
    | ~ v3_group_1(sK12737_skl)
    | v3_struct_0(sK12737_skl) ),
    inference(resolution,[status(thm)],[f162789,f162772]) ).

fof(f201181,definition,
    ( sQ3156_spl
  <=> m1_subset_1(sK12739_skl,u1_struct_0(sK12737_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ3156_spl])],[split_symbol_definition]) ).

fof(f201183,plain,
    ( sQ3156_spl
    | ~ m1_subset_1(sK12739_skl,u1_struct_0(sK12737_skl)) ),
    inference(component_clause,[status(thm)],[f201181]) ).

fof(f201184,definition,
    ( sQ3157_spl
  <=> r1_rlvect_1(sK12738_skl,sK12739_skl) ),
    introduced(definition,[new_symbols(definition,[sQ3157_spl])],[split_symbol_definition]) ).

fof(f201187,plain,
    ( sQ3157_spl
    | ~ sQ3156_spl
    | ~ sQ3092_spl
    | ~ sQ3091_spl
    | ~ sQ3082_spl
    | ~ sQ3081_spl
    | ~ sQ3080_spl
    | sQ3079_spl ),
    inference(split_clause,[status(thm)],[f201132,f196593,f196596,f196599,f196602,f197682,f197685,f201181,f201184]) ).

fof(f201215,plain,
    ( ~ r1_rlvect_1(sK12738_skl,k3_group_1(sK12737_skl,sK12739_skl))
    | ~ m1_subset_1(k3_group_1(sK12737_skl,sK12739_skl),u1_struct_0(sK12737_skl))
    | ~ m1_group_2(sK12738_skl,sK12737_skl)
    | ~ v1_group_1(sK12738_skl)
    | ~ l1_group_1(sK12737_skl)
    | ~ v4_group_1(sK12737_skl)
    | ~ v3_group_1(sK12737_skl)
    | v3_struct_0(sK12737_skl) ),
    inference(resolution,[status(thm)],[f162790,f162773]) ).

fof(f201218,definition,
    ( sQ3161_spl
  <=> m1_subset_1(k3_group_1(sK12737_skl,sK12739_skl),u1_struct_0(sK12737_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ3161_spl])],[split_symbol_definition]) ).

fof(f201220,plain,
    ( sQ3161_spl
    | ~ m1_subset_1(k3_group_1(sK12737_skl,sK12739_skl),u1_struct_0(sK12737_skl)) ),
    inference(component_clause,[status(thm)],[f201218]) ).

fof(f201221,definition,
    ( sQ3162_spl
  <=> r1_rlvect_1(sK12738_skl,k3_group_1(sK12737_skl,sK12739_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ3162_spl])],[split_symbol_definition]) ).

fof(f201223,plain,
    ( sQ3162_spl
    | ~ r1_rlvect_1(sK12738_skl,k3_group_1(sK12737_skl,sK12739_skl)) ),
    inference(component_clause,[status(thm)],[f201221]) ).

fof(f201224,plain,
    ( ~ sQ3162_spl
    | ~ sQ3161_spl
    | ~ sQ3092_spl
    | ~ sQ3091_spl
    | ~ sQ3082_spl
    | ~ sQ3081_spl
    | ~ sQ3080_spl
    | sQ3079_spl ),
    inference(split_clause,[status(thm)],[f201215,f196593,f196596,f196599,f196602,f197682,f197685,f201218,f201221]) ).

fof(f201257,plain,
    ( sQ3156_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f201183,f162788]) ).

fof(f201258,plain,
    sQ3156_spl,
    inference(contradiction_clause,[status(thm)],[f201257]) ).

fof(f201267,definition,
    ! [X0] :
      ( sQ3165_spl
    <=> ~ r1_tarski(k1_xboole_0,X0) ),
    introduced(definition,[new_symbols(definition,[sQ3165_spl])],[split_symbol_definition]) ).

fof(f201268,plain,
    ! [X0] :
      ( ~ sQ3165_spl
      | ~ r1_tarski(k1_xboole_0,X0) ),
    inference(component_clause,[status(thm)],[f201267]) ).

fof(f201279,plain,
    ( ~ sQ3165_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f201268,f36742]) ).

fof(f201280,plain,
    ~ sQ3165_spl,
    inference(contradiction_clause,[status(thm)],[f201279]) ).

fof(f201337,plain,
    ( sQ3162_spl
    | ~ r1_rlvect_1(sK12738_skl,sK12739_skl)
    | ~ m1_group_2(sK12738_skl,sK12737_skl)
    | ~ m1_subset_1(sK12739_skl,u1_struct_0(sK12737_skl))
    | ~ l1_group_1(sK12737_skl)
    | ~ v4_group_1(sK12737_skl)
    | ~ v3_group_1(sK12737_skl)
    | v3_struct_0(sK12737_skl) ),
    inference(resolution,[status(thm)],[f201223,f108065]) ).

fof(f201338,plain,
    ( sQ3162_spl
    | ~ sQ3157_spl
    | ~ sQ3092_spl
    | ~ sQ3156_spl
    | ~ sQ3082_spl
    | ~ sQ3081_spl
    | ~ sQ3080_spl
    | sQ3079_spl ),
    inference(split_clause,[status(thm)],[f201337,f196593,f196596,f196599,f196602,f201181,f197685,f201184,f201221]) ).

fof(f201921,plain,
    ( ~ sQ57_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f39466,f181739]) ).

fof(f201922,plain,
    ~ sQ57_spl,
    inference(contradiction_clause,[status(thm)],[f201921]) ).

fof(f203201,plain,
    ( sQ3161_spl
    | ~ m1_subset_1(sK12739_skl,u1_struct_0(sK12737_skl))
    | ~ l1_group_1(sK12737_skl)
    | ~ v4_group_1(sK12737_skl)
    | ~ v3_group_1(sK12737_skl)
    | v3_struct_0(sK12737_skl) ),
    inference(resolution,[status(thm)],[f201220,f97883]) ).

fof(f203203,plain,
    ( sQ3161_spl
    | ~ sQ3156_spl
    | ~ sQ3082_spl
    | ~ sQ3081_spl
    | ~ sQ3080_spl
    | sQ3079_spl ),
    inference(split_clause,[status(thm)],[f203201,f196593,f196596,f196599,f196602,f201181,f201218]) ).

fof(f203204,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f196610,f196612,f196614,f196616,f197696,f197698,f201187,f201224,f201258,f201280,f201338,f201922,f203203]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP644+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n005.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 20 20:25:42 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 6.78/7.08  % Drodi V4.1.1
% 81.86/16.89  % Refutation found
% 81.86/16.89  % SZS status Theorem for theBenchmark: Theorem is valid
% 81.86/16.89  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.40/18.39  % Elapsed time: 17.930330 seconds
% 14.40/18.39  % CPU time: 86.215126 seconds
% 14.40/18.39  % Total memory used: 11.596 GB
% 14.40/18.39  % Net memory used: 11.500 GB
%------------------------------------------------------------------------------