TSTP Solution File: SYO175^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO175^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %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 May 21 09:03:21 EDT 2024

% Result   : Theorem 0.14s 0.31s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   67 (  10 unt;  15 typ;   0 def)
%            Number of atoms       :  569 ( 163 equ;   0 cnn)
%            Maximal formula atoms :   16 (  10 avg)
%            Number of connectives :  711 ( 112   ~;  71   |; 104   &; 408   @)
%                                         (   4 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  15 usr;  14 con; 0-2 aty)
%            Number of variables   :  112 (   0   ^  79   !;  33   ?; 112   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    p: $tType ).

thf(type_def_6,type,
    a: $tType ).

thf(func_def_0,type,
    p: $tType ).

thf(func_def_1,type,
    a: $tType ).

thf(func_def_2,type,
    cGRAIN: p ).

thf(func_def_3,type,
    cVEG_EATS: a > p > $o ).

thf(func_def_4,type,
    cMEAT_EATS: a > a > $o ).

thf(func_def_5,type,
    cSNAIL: a ).

thf(func_def_6,type,
    cCATERPILLAR: a ).

thf(func_def_7,type,
    cBIRD: a ).

thf(func_def_8,type,
    cWOLF: a ).

thf(func_def_9,type,
    cFOX: a ).

thf(func_def_10,type,
    cSMALLER: a > a > $o ).

thf(func_def_14,type,
    sK0: p ).

thf(func_def_15,type,
    sK1: p ).

thf(f66,plain,
    $false,
    inference(avatar_sat_refutation,[],[f40,f48,f51,f62,f65]) ).

thf(f65,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f64]) ).

thf(f64,plain,
    ( $false
    | ~ spl2_1 ),
    inference(trivial_inequality_removal,[],[f63]) ).

thf(f63,plain,
    ( ( $true != $true )
    | ~ spl2_1 ),
    inference(superposition,[],[f17,f36]) ).

thf(f36,plain,
    ( ! [X0: p] :
        ( ( cVEG_EATS @ cWOLF @ X0 )
        = $true )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f35]) ).

thf(f35,plain,
    ( spl2_1
  <=> ! [X0: p] :
        ( ( cVEG_EATS @ cWOLF @ X0 )
        = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

thf(f17,plain,
    ( ( cVEG_EATS @ cWOLF @ cGRAIN )
   != $true ),
    inference(cnf_transformation,[],[f12]) ).

thf(f12,plain,
    ( ( ( cMEAT_EATS @ cWOLF @ cFOX )
     != $true )
    & ( ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
      = $true )
    & ( ( cSMALLER @ cCATERPILLAR @ cBIRD )
      = $true )
    & ( ( cVEG_EATS @ cSNAIL @ sK0 )
      = $true )
    & ! [X1: a] :
        ( ! [X2: a] :
            ( ( ( cMEAT_EATS @ X1 @ X2 )
              = $true )
            | ! [X3: p] :
                ( ( cVEG_EATS @ X2 @ X3 )
               != $true )
            | ( ( cSMALLER @ X2 @ X1 )
             != $true ) )
        | ! [X4: p] :
            ( ( cVEG_EATS @ X1 @ X4 )
            = $true ) )
    & ! [X5: a,X6: a] :
        ( ( ( cVEG_EATS @ X6 @ cGRAIN )
         != $true )
        | ( ( cMEAT_EATS @ X5 @ X6 )
         != $true ) )
    & ( ( cVEG_EATS @ cCATERPILLAR @ sK1 )
      = $true )
    & ( ( cVEG_EATS @ cWOLF @ cGRAIN )
     != $true )
    & ( ( cSMALLER @ cBIRD @ cFOX )
      = $true )
    & ( ( cSMALLER @ cFOX @ cWOLF )
      = $true )
    & ( ( cSMALLER @ cSNAIL @ cBIRD )
      = $true )
    & ( ( cMEAT_EATS @ cBIRD @ cSNAIL )
     != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11,f10]) ).

thf(f10,plain,
    ( ? [X0: p] :
        ( ( cVEG_EATS @ cSNAIL @ X0 )
        = $true )
   => ( ( cVEG_EATS @ cSNAIL @ sK0 )
      = $true ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ( ? [X7: p] :
        ( ( cVEG_EATS @ cCATERPILLAR @ X7 )
        = $true )
   => ( ( cVEG_EATS @ cCATERPILLAR @ sK1 )
      = $true ) ),
    introduced(choice_axiom,[]) ).

thf(f9,plain,
    ( ( ( cMEAT_EATS @ cWOLF @ cFOX )
     != $true )
    & ( ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
      = $true )
    & ( ( cSMALLER @ cCATERPILLAR @ cBIRD )
      = $true )
    & ? [X0: p] :
        ( ( cVEG_EATS @ cSNAIL @ X0 )
        = $true )
    & ! [X1: a] :
        ( ! [X2: a] :
            ( ( ( cMEAT_EATS @ X1 @ X2 )
              = $true )
            | ! [X3: p] :
                ( ( cVEG_EATS @ X2 @ X3 )
               != $true )
            | ( ( cSMALLER @ X2 @ X1 )
             != $true ) )
        | ! [X4: p] :
            ( ( cVEG_EATS @ X1 @ X4 )
            = $true ) )
    & ! [X5: a,X6: a] :
        ( ( ( cVEG_EATS @ X6 @ cGRAIN )
         != $true )
        | ( ( cMEAT_EATS @ X5 @ X6 )
         != $true ) )
    & ? [X7: p] :
        ( ( cVEG_EATS @ cCATERPILLAR @ X7 )
        = $true )
    & ( ( cVEG_EATS @ cWOLF @ cGRAIN )
     != $true )
    & ( ( cSMALLER @ cBIRD @ cFOX )
      = $true )
    & ( ( cSMALLER @ cFOX @ cWOLF )
      = $true )
    & ( ( cSMALLER @ cSNAIL @ cBIRD )
      = $true )
    & ( ( cMEAT_EATS @ cBIRD @ cSNAIL )
     != $true ) ),
    inference(rectify,[],[f8]) ).

thf(f8,plain,
    ( ( ( cMEAT_EATS @ cWOLF @ cFOX )
     != $true )
    & ( ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
      = $true )
    & ( ( cSMALLER @ cCATERPILLAR @ cBIRD )
      = $true )
    & ? [X0: p] :
        ( ( cVEG_EATS @ cSNAIL @ X0 )
        = $true )
    & ! [X2: a] :
        ( ! [X4: a] :
            ( ( ( cMEAT_EATS @ X2 @ X4 )
              = $true )
            | ! [X5: p] :
                ( ( cVEG_EATS @ X4 @ X5 )
               != $true )
            | ( ( cSMALLER @ X4 @ X2 )
             != $true ) )
        | ! [X3: p] :
            ( ( cVEG_EATS @ X2 @ X3 )
            = $true ) )
    & ! [X6: a,X7: a] :
        ( ( ( cVEG_EATS @ X7 @ cGRAIN )
         != $true )
        | ( ( cMEAT_EATS @ X6 @ X7 )
         != $true ) )
    & ? [X1: p] :
        ( ( cVEG_EATS @ cCATERPILLAR @ X1 )
        = $true )
    & ( ( cVEG_EATS @ cWOLF @ cGRAIN )
     != $true )
    & ( ( cSMALLER @ cBIRD @ cFOX )
      = $true )
    & ( ( cSMALLER @ cFOX @ cWOLF )
      = $true )
    & ( ( cSMALLER @ cSNAIL @ cBIRD )
      = $true )
    & ( ( cMEAT_EATS @ cBIRD @ cSNAIL )
     != $true ) ),
    inference(flattening,[],[f7]) ).

thf(f7,plain,
    ( ! [X6: a,X7: a] :
        ( ( ( cVEG_EATS @ X7 @ cGRAIN )
         != $true )
        | ( ( cMEAT_EATS @ X6 @ X7 )
         != $true ) )
    & ( ( cSMALLER @ cCATERPILLAR @ cBIRD )
      = $true )
    & ? [X1: p] :
        ( ( cVEG_EATS @ cCATERPILLAR @ X1 )
        = $true )
    & ( ( cVEG_EATS @ cWOLF @ cGRAIN )
     != $true )
    & ( ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
      = $true )
    & ? [X0: p] :
        ( ( cVEG_EATS @ cSNAIL @ X0 )
        = $true )
    & ( ( cSMALLER @ cSNAIL @ cBIRD )
      = $true )
    & ( ( cSMALLER @ cFOX @ cWOLF )
      = $true )
    & ( ( cMEAT_EATS @ cBIRD @ cSNAIL )
     != $true )
    & ( ( cSMALLER @ cBIRD @ cFOX )
      = $true )
    & ! [X2: a] :
        ( ! [X3: p] :
            ( ( cVEG_EATS @ X2 @ X3 )
            = $true )
        | ! [X4: a] :
            ( ( ( cMEAT_EATS @ X2 @ X4 )
              = $true )
            | ! [X5: p] :
                ( ( cVEG_EATS @ X4 @ X5 )
               != $true )
            | ( ( cSMALLER @ X4 @ X2 )
             != $true ) ) )
    & ( ( cMEAT_EATS @ cWOLF @ cFOX )
     != $true ) ),
    inference(ennf_transformation,[],[f6]) ).

thf(f6,plain,
    ~ ( ( ( ( cSMALLER @ cCATERPILLAR @ cBIRD )
          = $true )
        & ? [X1: p] :
            ( ( cVEG_EATS @ cCATERPILLAR @ X1 )
            = $true )
        & ( ( cVEG_EATS @ cWOLF @ cGRAIN )
         != $true )
        & ( ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
          = $true )
        & ? [X0: p] :
            ( ( cVEG_EATS @ cSNAIL @ X0 )
            = $true )
        & ( ( cSMALLER @ cSNAIL @ cBIRD )
          = $true )
        & ( ( cSMALLER @ cFOX @ cWOLF )
          = $true )
        & ( ( cMEAT_EATS @ cBIRD @ cSNAIL )
         != $true )
        & ( ( cSMALLER @ cBIRD @ cFOX )
          = $true )
        & ! [X2: a] :
            ( ! [X3: p] :
                ( ( cVEG_EATS @ X2 @ X3 )
                = $true )
            | ! [X4: a] :
                ( ( ? [X5: p] :
                      ( ( cVEG_EATS @ X4 @ X5 )
                      = $true )
                  & ( ( cSMALLER @ X4 @ X2 )
                    = $true ) )
               => ( ( cMEAT_EATS @ X2 @ X4 )
                  = $true ) ) )
        & ( ( cMEAT_EATS @ cWOLF @ cFOX )
         != $true ) )
     => ? [X7: a,X6: a] :
          ( ( ( cVEG_EATS @ X7 @ cGRAIN )
            = $true )
          & ( ( cMEAT_EATS @ X6 @ X7 )
            = $true ) ) ),
    inference(flattening,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ? [X0: p] :
            ( ( cVEG_EATS @ cSNAIL @ X0 )
            = $true )
        & ( ( cSMALLER @ cFOX @ cWOLF )
          = $true )
        & ( ( cSMALLER @ cCATERPILLAR @ cBIRD )
          = $true )
        & ( ( cMEAT_EATS @ cWOLF @ cFOX )
         != $true )
        & ( ( cSMALLER @ cSNAIL @ cBIRD )
          = $true )
        & ( ( cMEAT_EATS @ cBIRD @ cSNAIL )
         != $true )
        & ( ( cSMALLER @ cBIRD @ cFOX )
          = $true )
        & ( ( cVEG_EATS @ cWOLF @ cGRAIN )
         != $true )
        & ? [X1: p] :
            ( ( cVEG_EATS @ cCATERPILLAR @ X1 )
            = $true )
        & ( ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
          = $true )
        & ! [X2: a] :
            ( ! [X3: p] :
                ( ( cVEG_EATS @ X2 @ X3 )
                = $true )
            | ! [X4: a] :
                ( ( ? [X5: p] :
                      ( ( cVEG_EATS @ X4 @ X5 )
                      = $true )
                  & ( ( cSMALLER @ X4 @ X2 )
                    = $true ) )
               => ( ( cMEAT_EATS @ X2 @ X4 )
                  = $true ) ) ) )
     => ? [X7: a,X6: a] :
          ( ( ( cVEG_EATS @ X7 @ cGRAIN )
            = $true )
          & ( ( cMEAT_EATS @ X6 @ X7 )
            = $true ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( ? [X0: p] : ( cVEG_EATS @ cSNAIL @ X0 )
        & ( cSMALLER @ cFOX @ cWOLF )
        & ( cSMALLER @ cCATERPILLAR @ cBIRD )
        & ~ ( cMEAT_EATS @ cWOLF @ cFOX )
        & ( cSMALLER @ cSNAIL @ cBIRD )
        & ~ ( cMEAT_EATS @ cBIRD @ cSNAIL )
        & ( cSMALLER @ cBIRD @ cFOX )
        & ~ ( cVEG_EATS @ cWOLF @ cGRAIN )
        & ? [X1: p] : ( cVEG_EATS @ cCATERPILLAR @ X1 )
        & ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
        & ! [X2: a] :
            ( ! [X3: p] : ( cVEG_EATS @ X2 @ X3 )
            | ! [X4: a] :
                ( ( ? [X5: p] : ( cVEG_EATS @ X4 @ X5 )
                  & ( cSMALLER @ X4 @ X2 ) )
               => ( cMEAT_EATS @ X2 @ X4 ) ) ) )
     => ? [X6: a,X7: a] :
          ( ( cMEAT_EATS @ X6 @ X7 )
          & ( cVEG_EATS @ X7 @ cGRAIN ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ? [X1: p] : ( cVEG_EATS @ cSNAIL @ X1 )
        & ( cSMALLER @ cFOX @ cWOLF )
        & ( cSMALLER @ cCATERPILLAR @ cBIRD )
        & ~ ( cMEAT_EATS @ cWOLF @ cFOX )
        & ( cSMALLER @ cSNAIL @ cBIRD )
        & ~ ( cMEAT_EATS @ cBIRD @ cSNAIL )
        & ( cSMALLER @ cBIRD @ cFOX )
        & ~ ( cVEG_EATS @ cWOLF @ cGRAIN )
        & ? [X1: p] : ( cVEG_EATS @ cCATERPILLAR @ X1 )
        & ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
        & ! [X0: a] :
            ( ! [X1: p] : ( cVEG_EATS @ X0 @ X1 )
            | ! [X2: a] :
                ( ( ? [X3: p] : ( cVEG_EATS @ X2 @ X3 )
                  & ( cSMALLER @ X2 @ X0 ) )
               => ( cMEAT_EATS @ X0 @ X2 ) ) ) )
     => ? [X0: a,X1: a] :
          ( ( cMEAT_EATS @ X0 @ X1 )
          & ( cVEG_EATS @ X1 @ cGRAIN ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ? [X1: p] : ( cVEG_EATS @ cSNAIL @ X1 )
      & ( cSMALLER @ cFOX @ cWOLF )
      & ( cSMALLER @ cCATERPILLAR @ cBIRD )
      & ~ ( cMEAT_EATS @ cWOLF @ cFOX )
      & ( cSMALLER @ cSNAIL @ cBIRD )
      & ~ ( cMEAT_EATS @ cBIRD @ cSNAIL )
      & ( cSMALLER @ cBIRD @ cFOX )
      & ~ ( cVEG_EATS @ cWOLF @ cGRAIN )
      & ? [X1: p] : ( cVEG_EATS @ cCATERPILLAR @ X1 )
      & ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
      & ! [X0: a] :
          ( ! [X1: p] : ( cVEG_EATS @ X0 @ X1 )
          | ! [X2: a] :
              ( ( ? [X3: p] : ( cVEG_EATS @ X2 @ X3 )
                & ( cSMALLER @ X2 @ X0 ) )
             => ( cMEAT_EATS @ X0 @ X2 ) ) ) )
   => ? [X0: a,X1: a] :
        ( ( cMEAT_EATS @ X0 @ X1 )
        & ( cVEG_EATS @ X1 @ cGRAIN ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPUZ031_1_HO) ).

thf(f62,plain,
    ( ~ spl2_2
    | ~ spl2_4 ),
    inference(avatar_contradiction_clause,[],[f61]) ).

thf(f61,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_4 ),
    inference(subsumption_resolution,[],[f60,f47]) ).

thf(f47,plain,
    ( ! [X0: p] :
        ( ( cVEG_EATS @ cBIRD @ X0 )
        = $true )
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f46]) ).

thf(f46,plain,
    ( spl2_4
  <=> ! [X0: p] :
        ( ( cVEG_EATS @ cBIRD @ X0 )
        = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

thf(f60,plain,
    ( ( ( cVEG_EATS @ cBIRD @ cGRAIN )
     != $true )
    | ~ spl2_2
    | ~ spl2_4 ),
    inference(subsumption_resolution,[],[f59,f47]) ).

thf(f59,plain,
    ( ! [X0: p] :
        ( ( ( cVEG_EATS @ cBIRD @ X0 )
         != $true )
        | ( ( cVEG_EATS @ cBIRD @ cGRAIN )
         != $true ) )
    | ~ spl2_2 ),
    inference(trivial_inequality_removal,[],[f58]) ).

thf(f58,plain,
    ( ! [X0: p] :
        ( ( $true != $true )
        | ( ( cVEG_EATS @ cBIRD @ X0 )
         != $true )
        | ( ( cVEG_EATS @ cBIRD @ cGRAIN )
         != $true ) )
    | ~ spl2_2 ),
    inference(superposition,[],[f56,f16]) ).

thf(f16,plain,
    ( ( cSMALLER @ cBIRD @ cFOX )
    = $true ),
    inference(cnf_transformation,[],[f12]) ).

thf(f56,plain,
    ( ! [X2: p,X1: a] :
        ( ( ( cSMALLER @ X1 @ cFOX )
         != $true )
        | ( ( cVEG_EATS @ X1 @ cGRAIN )
         != $true )
        | ( ( cVEG_EATS @ X1 @ X2 )
         != $true ) )
    | ~ spl2_2 ),
    inference(trivial_inequality_removal,[],[f54]) ).

thf(f54,plain,
    ( ! [X2: p,X1: a] :
        ( ( ( cVEG_EATS @ X1 @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( cVEG_EATS @ X1 @ cGRAIN )
         != $true )
        | ( ( cSMALLER @ X1 @ cFOX )
         != $true ) )
    | ~ spl2_2 ),
    inference(superposition,[],[f39,f30]) ).

thf(f30,plain,
    ! [X2: p,X3: p,X0: a,X1: a] :
      ( ( ( cVEG_EATS @ X0 @ X2 )
        = $true )
      | ( ( cVEG_EATS @ X1 @ X3 )
       != $true )
      | ( ( cSMALLER @ X1 @ X0 )
       != $true )
      | ( ( cVEG_EATS @ X1 @ cGRAIN )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f29]) ).

thf(f29,plain,
    ! [X2: p,X3: p,X0: a,X1: a] :
      ( ( ( cVEG_EATS @ X1 @ X3 )
       != $true )
      | ( ( cSMALLER @ X1 @ X0 )
       != $true )
      | ( $true != $true )
      | ( ( cVEG_EATS @ X0 @ X2 )
        = $true )
      | ( ( cVEG_EATS @ X1 @ cGRAIN )
       != $true ) ),
    inference(superposition,[],[f19,f20]) ).

thf(f20,plain,
    ! [X2: a,X3: p,X1: a,X4: p] :
      ( ( ( cMEAT_EATS @ X1 @ X2 )
        = $true )
      | ( ( cVEG_EATS @ X1 @ X4 )
        = $true )
      | ( ( cVEG_EATS @ X2 @ X3 )
       != $true )
      | ( ( cSMALLER @ X2 @ X1 )
       != $true ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f19,plain,
    ! [X6: a,X5: a] :
      ( ( ( cMEAT_EATS @ X5 @ X6 )
       != $true )
      | ( ( cVEG_EATS @ X6 @ cGRAIN )
       != $true ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f39,plain,
    ( ! [X1: p] :
        ( ( cVEG_EATS @ cFOX @ X1 )
       != $true )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f38]) ).

thf(f38,plain,
    ( spl2_2
  <=> ! [X1: p] :
        ( ( cVEG_EATS @ cFOX @ X1 )
       != $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

thf(f51,plain,
    ~ spl2_3,
    inference(avatar_contradiction_clause,[],[f50]) ).

thf(f50,plain,
    ( $false
    | ~ spl2_3 ),
    inference(trivial_inequality_removal,[],[f49]) ).

thf(f49,plain,
    ( ( $true != $true )
    | ~ spl2_3 ),
    inference(superposition,[],[f44,f21]) ).

thf(f21,plain,
    ( ( cVEG_EATS @ cSNAIL @ sK0 )
    = $true ),
    inference(cnf_transformation,[],[f12]) ).

thf(f44,plain,
    ( ! [X1: p] :
        ( ( cVEG_EATS @ cSNAIL @ X1 )
       != $true )
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f43]) ).

thf(f43,plain,
    ( spl2_3
  <=> ! [X1: p] :
        ( ( cVEG_EATS @ cSNAIL @ X1 )
       != $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

thf(f48,plain,
    ( spl2_3
    | spl2_4 ),
    inference(avatar_split_clause,[],[f41,f46,f43]) ).

thf(f41,plain,
    ! [X0: p,X1: p] :
      ( ( ( cVEG_EATS @ cBIRD @ X0 )
        = $true )
      | ( ( cVEG_EATS @ cSNAIL @ X1 )
       != $true ) ),
    inference(subsumption_resolution,[],[f31,f14]) ).

thf(f14,plain,
    ( ( cSMALLER @ cSNAIL @ cBIRD )
    = $true ),
    inference(cnf_transformation,[],[f12]) ).

thf(f31,plain,
    ! [X0: p,X1: p] :
      ( ( ( cVEG_EATS @ cBIRD @ X0 )
        = $true )
      | ( ( cVEG_EATS @ cSNAIL @ X1 )
       != $true )
      | ( ( cSMALLER @ cSNAIL @ cBIRD )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f27]) ).

thf(f27,plain,
    ! [X0: p,X1: p] :
      ( ( ( cVEG_EATS @ cBIRD @ X0 )
        = $true )
      | ( ( cVEG_EATS @ cSNAIL @ X1 )
       != $true )
      | ( $true != $true )
      | ( ( cSMALLER @ cSNAIL @ cBIRD )
       != $true ) ),
    inference(superposition,[],[f13,f20]) ).

thf(f13,plain,
    ( ( cMEAT_EATS @ cBIRD @ cSNAIL )
   != $true ),
    inference(cnf_transformation,[],[f12]) ).

thf(f40,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f33,f38,f35]) ).

thf(f33,plain,
    ! [X0: p,X1: p] :
      ( ( ( cVEG_EATS @ cWOLF @ X0 )
        = $true )
      | ( ( cVEG_EATS @ cFOX @ X1 )
       != $true ) ),
    inference(subsumption_resolution,[],[f32,f15]) ).

thf(f15,plain,
    ( ( cSMALLER @ cFOX @ cWOLF )
    = $true ),
    inference(cnf_transformation,[],[f12]) ).

thf(f32,plain,
    ! [X0: p,X1: p] :
      ( ( ( cVEG_EATS @ cWOLF @ X0 )
        = $true )
      | ( ( cVEG_EATS @ cFOX @ X1 )
       != $true )
      | ( ( cSMALLER @ cFOX @ cWOLF )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f28]) ).

thf(f28,plain,
    ! [X0: p,X1: p] :
      ( ( ( cVEG_EATS @ cWOLF @ X0 )
        = $true )
      | ( ( cVEG_EATS @ cFOX @ X1 )
       != $true )
      | ( $true != $true )
      | ( ( cSMALLER @ cFOX @ cWOLF )
       != $true ) ),
    inference(superposition,[],[f24,f20]) ).

thf(f24,plain,
    ( ( cMEAT_EATS @ cWOLF @ cFOX )
   != $true ),
    inference(cnf_transformation,[],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08  % Problem    : SYO175^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.28  % Computer : n016.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Mon May 20 09:33:22 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  This is a TH0_THM_NEQ_NAR problem
% 0.09/0.29  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30  % (17355)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.09/0.31  % (17361)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.09/0.31  % (17360)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.31  % (17360)First to succeed.
% 0.14/0.31  % (17362)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.31  % (17360)Refutation found. Thanks to Tanya!
% 0.14/0.31  % SZS status Theorem for theBenchmark
% 0.14/0.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.31  % (17360)------------------------------
% 0.14/0.31  % (17360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.31  % (17360)Termination reason: Refutation
% 0.14/0.31  
% 0.14/0.31  % (17360)Memory used [KB]: 5500
% 0.14/0.31  % (17360)Time elapsed: 0.006 s
% 0.14/0.31  % (17360)Instructions burned: 6 (million)
% 0.14/0.31  % (17360)------------------------------
% 0.14/0.31  % (17360)------------------------------
% 0.14/0.31  % (17354)Success in time 0.021 s
% 0.14/0.31  % Vampire---4.8 exiting
%------------------------------------------------------------------------------