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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYO175^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 : Wed Sep 30 08:46:47 AM UTC 2026

% Result   : Theorem 0.08s 0.17s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   37 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :  505 ( 152 equ;   0 cnn)
%            Maximal formula atoms :   16 (  13 avg)
%            Number of connectives :  620 (  72   ~;  50   |; 104   &; 384   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :  101 (   0   ^;  70   !;  31   ?; 101   :)

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

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

thf(type_def_7,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    cGRAIN: p ).

thf(func_def_1,type,
    cVEG_EATS: a > p > $o ).

thf(func_def_2,type,
    cMEAT_EATS: a > a > $o ).

thf(func_def_3,type,
    cSNAIL: a ).

thf(func_def_4,type,
    cCATERPILLAR: a ).

thf(func_def_5,type,
    cBIRD: a ).

thf(func_def_6,type,
    cWOLF: a ).

thf(func_def_7,type,
    cFOX: a ).

thf(func_def_8,type,
    cSMALLER: a > a > $o ).

thf(func_def_12,type,
    sK0: p ).

thf(func_def_13,type,
    sK1: p ).

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

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

thf(f3,plain,
    ~ ( ( ( cSMALLER @ cFOX @ cWOLF )
        & ~ ( cVEG_EATS @ cWOLF @ cGRAIN )
        & ~ ( cMEAT_EATS @ cBIRD @ cSNAIL )
        & ( cSMALLER @ cCATERPILLAR @ cBIRD )
        & ( cSMALLER @ cBIRD @ cFOX )
        & ( cSMALLER @ cSNAIL @ cBIRD )
        & ? [X0: p] : ( cVEG_EATS @ cSNAIL @ X0 )
        & ~ ( cMEAT_EATS @ cWOLF @ cFOX )
        & ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
        & ! [X1: a] :
            ( ! [X2: a] :
                ( ( ? [X3: p] : ( cVEG_EATS @ X2 @ X3 )
                  & ( cSMALLER @ X2 @ X1 ) )
               => ( cMEAT_EATS @ X1 @ X2 ) )
            | ! [X4: p] : ( cVEG_EATS @ X1 @ X4 ) )
        & ? [X5: p] : ( cVEG_EATS @ cCATERPILLAR @ X5 ) )
     => ? [X6: a,X7: a] :
          ( ( cMEAT_EATS @ X6 @ X7 )
          & ( cVEG_EATS @ X7 @ cGRAIN ) ) ),
    inference(rectify,[],[f2]) ).

thf(f4,plain,
    ~ ( ( ( ( cSMALLER @ cFOX @ cWOLF )
          = $true )
        & ( ( cVEG_EATS @ cWOLF @ cGRAIN )
         != $true )
        & ( ( cMEAT_EATS @ cBIRD @ cSNAIL )
         != $true )
        & ( ( cSMALLER @ cCATERPILLAR @ cBIRD )
          = $true )
        & ( ( cSMALLER @ cBIRD @ cFOX )
          = $true )
        & ( ( cSMALLER @ cSNAIL @ cBIRD )
          = $true )
        & ? [X0: p] :
            ( ( cVEG_EATS @ cSNAIL @ X0 )
            = $true )
        & ( ( cMEAT_EATS @ cWOLF @ cFOX )
         != $true )
        & ( ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
          = $true )
        & ! [X1: a] :
            ( ! [X4: p] :
                ( $true
                = ( cVEG_EATS @ X1 @ X4 ) )
            | ! [X2: a] :
                ( ( ? [X3: p] :
                      ( ( cVEG_EATS @ X2 @ X3 )
                      = $true )
                  & ( $true
                    = ( cSMALLER @ X2 @ X1 ) ) )
               => ( ( cMEAT_EATS @ X1 @ X2 )
                  = $true ) ) )
        & ? [X5: p] :
            ( ( cVEG_EATS @ cCATERPILLAR @ X5 )
            = $true ) )
     => ? [X7: a,X6: a] :
          ( ( ( cVEG_EATS @ X7 @ cGRAIN )
            = $true )
          & ( $true
            = ( cMEAT_EATS @ X6 @ X7 ) ) ) ),
    inference(fool_elimination,[],[f3]) ).

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

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

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

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

thf(f9,plain,
    ( ( ( cVEG_EATS @ cWOLF @ cGRAIN )
     != $true )
    & ( ( cMEAT_EATS @ cBIRD @ cSNAIL )
     != $true )
    & ( ( cMEAT_EATS @ cBIRD @ cCATERPILLAR )
      = $true )
    & ( ( cSMALLER @ cCATERPILLAR @ cBIRD )
      = $true )
    & ( ( cVEG_EATS @ cCATERPILLAR @ sK0 )
      = $true )
    & ( ( cSMALLER @ cFOX @ cWOLF )
      = $true )
    & ( ( cVEG_EATS @ cSNAIL @ sK1 )
      = $true )
    & ( ( cSMALLER @ cBIRD @ cFOX )
      = $true )
    & ! [X2: a] :
        ( ! [X3: a] :
            ( ! [X4: p] :
                ( ( cVEG_EATS @ X3 @ X4 )
               != $true )
            | ( ( cSMALLER @ X3 @ X2 )
             != $true )
            | ( $true
              = ( cMEAT_EATS @ X2 @ X3 ) ) )
        | ! [X5: p] :
            ( ( cVEG_EATS @ X2 @ X5 )
            = $true ) )
    & ! [X6: a,X7: a] :
        ( ( ( cVEG_EATS @ X6 @ cGRAIN )
         != $true )
        | ( ( cMEAT_EATS @ X7 @ X6 )
         != $true ) )
    & ( ( cMEAT_EATS @ cWOLF @ cFOX )
     != $true )
    & ( ( cSMALLER @ cSNAIL @ cBIRD )
      = $true ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8]) ).

thf(f10,plain,
    ( ( cSMALLER @ cSNAIL @ cBIRD )
    = $true ),
    inference(cnf_transformation,[],[f9]) ).

thf(f11,plain,
    ( ( cMEAT_EATS @ cWOLF @ cFOX )
   != $true ),
    inference(cnf_transformation,[],[f9]) ).

thf(f12,plain,
    ! [X6: a,X7: a] :
      ( ( ( cMEAT_EATS @ X7 @ X6 )
       != $true )
      | ( ( cVEG_EATS @ X6 @ cGRAIN )
       != $true ) ),
    inference(cnf_transformation,[],[f9]) ).

thf(f13,plain,
    ! [X2: a,X3: a,X4: p,X5: p] :
      ( ( ( cSMALLER @ X3 @ X2 )
       != $true )
      | ( ( cVEG_EATS @ X3 @ X4 )
       != $true )
      | ( ( cVEG_EATS @ X2 @ X5 )
        = $true )
      | ( $true
        = ( cMEAT_EATS @ X2 @ X3 ) ) ),
    inference(cnf_transformation,[],[f9]) ).

thf(f14,plain,
    ( ( cSMALLER @ cBIRD @ cFOX )
    = $true ),
    inference(cnf_transformation,[],[f9]) ).

thf(f15,plain,
    ( ( cVEG_EATS @ cSNAIL @ sK1 )
    = $true ),
    inference(cnf_transformation,[],[f9]) ).

thf(f16,plain,
    ( ( cSMALLER @ cFOX @ cWOLF )
    = $true ),
    inference(cnf_transformation,[],[f9]) ).

thf(f20,plain,
    ( ( cMEAT_EATS @ cBIRD @ cSNAIL )
   != $true ),
    inference(cnf_transformation,[],[f9]) ).

thf(f21,plain,
    ( ( cVEG_EATS @ cWOLF @ cGRAIN )
   != $true ),
    inference(cnf_transformation,[],[f9]) ).

thf(f25,plain,
    ! [X0: p,X1: p] :
      ( ( ( cMEAT_EATS @ cBIRD @ cSNAIL )
        = $true )
      | ( ( cVEG_EATS @ cSNAIL @ X0 )
       != $true )
      | ( ( cVEG_EATS @ cBIRD @ X1 )
        = $true )
      | ( $true != $true ) ),
    inference(superposition,[],[f13,f10]) ).

thf(f27,plain,
    ! [X0: p,X1: p] :
      ( ( ( cMEAT_EATS @ cFOX @ cBIRD )
        = $true )
      | ( $true != $true )
      | ( ( cVEG_EATS @ cFOX @ X1 )
        = $true )
      | ( ( cVEG_EATS @ cBIRD @ X0 )
       != $true ) ),
    inference(superposition,[],[f13,f14]) ).

thf(f28,plain,
    ! [X0: p,X1: p] :
      ( ( ( cVEG_EATS @ cWOLF @ X1 )
        = $true )
      | ( ( cMEAT_EATS @ cWOLF @ cFOX )
        = $true )
      | ( $true != $true )
      | ( ( cVEG_EATS @ cFOX @ X0 )
       != $true ) ),
    inference(superposition,[],[f13,f16]) ).

thf(f29,plain,
    ! [X0: p,X1: p] :
      ( ( ( cMEAT_EATS @ cWOLF @ cFOX )
        = $true )
      | ( ( cVEG_EATS @ cWOLF @ X1 )
        = $true )
      | ( ( cVEG_EATS @ cFOX @ X0 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f28]) ).

thf(f30,plain,
    ! [X0: p,X1: p] :
      ( ( ( cVEG_EATS @ cBIRD @ X0 )
       != $true )
      | ( ( cVEG_EATS @ cFOX @ X1 )
        = $true )
      | ( ( cMEAT_EATS @ cFOX @ cBIRD )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f27]) ).

thf(f32,plain,
    ! [X0: p,X1: p] :
      ( ( ( cVEG_EATS @ cBIRD @ X1 )
        = $true )
      | ( ( cVEG_EATS @ cSNAIL @ X0 )
       != $true )
      | ( ( cMEAT_EATS @ cBIRD @ cSNAIL )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f25]) ).

thf(f33,plain,
    ! [X0: p,X1: p] :
      ( ( ( cVEG_EATS @ cFOX @ X0 )
       != $true )
      | ( ( cVEG_EATS @ cWOLF @ X1 )
        = $true ) ),
    inference(forward_subsumption_resolution,[],[f29,f11]) ).

thf(f34,plain,
    ! [X0: p,X1: p] :
      ( ( ( cVEG_EATS @ cSNAIL @ X0 )
       != $true )
      | ( ( cVEG_EATS @ cBIRD @ X1 )
        = $true ) ),
    inference(forward_subsumption_resolution,[],[f32,f20]) ).

thf(f35,plain,
    ! [X0: p] :
      ( ( ( cVEG_EATS @ cBIRD @ X0 )
        = $true )
      | ( $true != $true ) ),
    inference(superposition,[],[f34,f15]) ).

thf(f36,plain,
    ! [X0: p] :
      ( ( cVEG_EATS @ cBIRD @ X0 )
      = $true ),
    inference(trivial_inequality_removal,[],[f35]) ).

thf(f37,plain,
    ! [X1: p] :
      ( ( ( cVEG_EATS @ cFOX @ X1 )
        = $true )
      | ( $true != $true )
      | ( ( cMEAT_EATS @ cFOX @ cBIRD )
        = $true ) ),
    inference(superposition,[],[f30,f36]) ).

thf(f38,plain,
    ! [X1: p] :
      ( ( ( cVEG_EATS @ cFOX @ X1 )
        = $true )
      | ( ( cMEAT_EATS @ cFOX @ cBIRD )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f37]) ).

thf(f40,plain,
    ! [X0: p] :
      ( ( ( cVEG_EATS @ cBIRD @ cGRAIN )
       != $true )
      | ( $true != $true )
      | ( ( cVEG_EATS @ cFOX @ X0 )
        = $true ) ),
    inference(superposition,[],[f12,f38]) ).

thf(f41,plain,
    ! [X0: p] :
      ( ( ( cVEG_EATS @ cBIRD @ cGRAIN )
       != $true )
      | ( ( cVEG_EATS @ cFOX @ X0 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f40]) ).

thf(f43,plain,
    ! [X0: p] :
      ( ( cVEG_EATS @ cFOX @ X0 )
      = $true ),
    inference(forward_subsumption_resolution,[],[f41,f36]) ).

thf(f44,plain,
    ! [X1: p] :
      ( ( ( cVEG_EATS @ cWOLF @ X1 )
        = $true )
      | ( $true != $true ) ),
    inference(superposition,[],[f33,f43]) ).

thf(f45,plain,
    ! [X1: p] :
      ( ( cVEG_EATS @ cWOLF @ X1 )
      = $true ),
    inference(trivial_inequality_removal,[],[f44]) ).

thf(f46,plain,
    $true != $true,
    inference(superposition,[],[f21,f45]) ).

thf(f47,plain,
    $false,
    inference(trivial_inequality_removal,[],[f46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SYO175^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Tue Sep 29 16:36:48 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.13  Running higher-order theorem proving
% 0.08/0.13  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17  % (338704)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.17  % (338713)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2010300464:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.08/0.17  % (338710)lrs+10_16_si=on:nwc=1.5:random_seed=1985085547:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.08/0.17  % (338709)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1628900503:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.08/0.17  % (338711)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1612476322:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.08/0.17  % (338712)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3020036869:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.08/0.17  % (338711)Instruction limit reached! 
% 0.08/0.17  % (338711)------------------------------
% 0.08/0.17  % (338711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.17  % (338711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.17  % (338711)CaDiCaL version: 2.1.3
% 0.08/0.17  % (338711)Termination reason: Instruction limit
% 0.08/0.17  % (338711)Time elapsed: 0.002 s
% 0.08/0.17  % (338711)Peak memory usage: 13 MB
% 0.08/0.17  % (338711)Instructions burned: 4 (million)
% 0.08/0.17  % (338713) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-338704-338713"...
% 0.08/0.17  % (338709) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-338704-338709"...
% 0.08/0.17  % (338710) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-338704-338710"...
% 0.08/0.17  % (338713)...printing done.
% 0.08/0.17  % (338709)...printing done.
% 0.08/0.17  % (338712) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-338704-338712"...
% 0.08/0.17  % (338710)...printing done.
% 0.08/0.17  % (338713)Refutation found. Thanks to Tanya!
% 0.08/0.17  % SZS status Theorem for theBenchmark
% 0.08/0.17  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.17  % (338713)------------------------------
% 0.08/0.17  % (338713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.17  % (338713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.17  % (338713)CaDiCaL version: 2.1.3
% 0.08/0.17  % (338713)Termination reason: Refutation
% 0.08/0.17  % (338713)Time elapsed: 0.004 s
% 0.08/0.17  % (338713)Peak memory usage: 12 MB
% 0.08/0.17  % (338713)Instructions burned: 7 (million)
% 0.08/0.17  % (338704)Success in time 0.027 s
% 0.08/0.17  % Vampire exiting
%------------------------------------------------------------------------------