TSTP Solution File: SYO376^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO376^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 09:04:13 EDT 2024

% Result   : Theorem 0.23s 0.40s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  119 (  20 unt;   4 typ;   0 def)
%            Number of atoms       :  662 ( 130 equ;   0 cnn)
%            Maximal formula atoms :   10 (   5 avg)
%            Number of connectives :  466 ( 133   ~; 157   |;  10   &; 149   @)
%                                         (  13 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  20 usr;  18 con; 0-2 aty)
%            Number of variables   :   24 (  23   ^   0   !;   0   ?;  24   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    cG: $o > $o ).

thf(func_def_1,type,
    cF: $o > $o ).

thf(func_def_2,type,
    cP: ( $o > $o ) > $o ).

thf(func_def_11,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f466,plain,
    $false,
    inference(avatar_sat_refutation,[],[f33,f39,f58,f68,f123,f135,f252,f274,f316,f390,f392,f394,f417,f426,f437,f463]) ).

thf(f463,plain,
    ( ~ spl0_18
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f462]) ).

thf(f462,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f455]) ).

thf(f455,plain,
    ( ( $true = $false )
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(superposition,[],[f408,f386]) ).

thf(f386,plain,
    ( ( $true = sK5 )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f384]) ).

thf(f384,plain,
    ( spl0_18
  <=> ( $true = sK5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

thf(f408,plain,
    ( ( $false = sK5 )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f406]) ).

thf(f406,plain,
    ( spl0_19
  <=> ( $false = sK5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

thf(f437,plain,
    ( spl0_19
    | ~ spl0_1
    | spl0_10
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f436,f271,f99,f26,f406]) ).

thf(f26,plain,
    ( spl0_1
  <=> ( $true
      = ( cF @ sK2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f99,plain,
    ( spl0_10
  <=> ( sK2 = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

thf(f271,plain,
    ( spl0_17
  <=> ( $false
      = ( cF @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

thf(f436,plain,
    ( ( $false = sK5 )
    | ~ spl0_1
    | spl0_10
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f354,f100]) ).

thf(f100,plain,
    ( ( sK2 != $false )
    | spl0_10 ),
    inference(avatar_component_clause,[],[f99]) ).

thf(f354,plain,
    ( ( $false = sK5 )
    | ( sK2 = $false )
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(binary_proxy_clausification,[],[f352]) ).

thf(f352,plain,
    ( ( sK2 != sK5 )
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f334]) ).

thf(f334,plain,
    ( ( $true = $false )
    | ( sK2 != sK5 )
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(constrained_superposition,[],[f28,f273]) ).

thf(f273,plain,
    ( ( $false
      = ( cF @ sK5 ) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f271]) ).

thf(f28,plain,
    ( ( $true
      = ( cF @ sK2 ) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f26]) ).

thf(f426,plain,
    ( ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f425]) ).

thf(f425,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f418]) ).

thf(f418,plain,
    ( ( $true = $false )
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f92,f101]) ).

thf(f101,plain,
    ( ( sK2 = $false )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f99]) ).

thf(f92,plain,
    ( ( $true = sK2 )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f90]) ).

thf(f90,plain,
    ( spl0_8
  <=> ( $true = sK2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

thf(f417,plain,
    ( spl0_9
    | spl0_19
    | ~ spl0_4
    | spl0_16 ),
    inference(avatar_split_clause,[],[f328,f267,f55,f406,f95]) ).

thf(f95,plain,
    ( spl0_9
  <=> ( $false = sK3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

thf(f55,plain,
    ( spl0_4
  <=> ( $true
      = ( cG @ sK3 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

thf(f267,plain,
    ( spl0_16
  <=> ( $true
      = ( cG @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

thf(f328,plain,
    ( ( $false = sK3 )
    | ( $false = sK5 )
    | ~ spl0_4
    | spl0_16 ),
    inference(binary_proxy_clausification,[],[f326]) ).

thf(f326,plain,
    ( ( sK5 != sK3 )
    | ~ spl0_4
    | spl0_16 ),
    inference(trivial_inequality_removal,[],[f322]) ).

thf(f322,plain,
    ( ( $true != $true )
    | ( sK5 != sK3 )
    | ~ spl0_4
    | spl0_16 ),
    inference(constrained_superposition,[],[f268,f57]) ).

thf(f57,plain,
    ( ( $true
      = ( cG @ sK3 ) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f55]) ).

thf(f268,plain,
    ( ( $true
     != ( cG @ sK5 ) )
    | spl0_16 ),
    inference(avatar_component_clause,[],[f267]) ).

thf(f394,plain,
    ( spl0_8
    | spl0_7
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f182,f55,f86,f90]) ).

thf(f86,plain,
    ( spl0_7
  <=> ( $true = sK3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

thf(f182,plain,
    ( ( $true = sK2 )
    | ( $true = sK3 )
    | ~ spl0_4 ),
    inference(binary_proxy_clausification,[],[f181]) ).

thf(f181,plain,
    ( ( sK2 != sK3 )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f177]) ).

thf(f177,plain,
    ( ( $true = $false )
    | ( sK2 != sK3 )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f22,f57]) ).

thf(f22,plain,
    ( $false
    = ( cG @ sK2 ) ),
    inference(duplicate_literal_removal,[],[f20]) ).

thf(f20,plain,
    ( ( $false
      = ( cG @ sK2 ) )
    | ( $false
      = ( cG @ sK2 ) ) ),
    inference(binary_proxy_clausification,[],[f19]) ).

thf(f19,plain,
    ( ( $false
      = ( cG @ sK2 ) )
    | ( ( ( cF @ sK2 )
        | ( cG @ sK2 ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f17]) ).

thf(f17,plain,
    ( ( ( cF @ sK2 )
      | ( cG @ sK2 ) )
   != ( cG @ sK2 ) ),
    inference(beta_eta_normalization,[],[f16]) ).

thf(f16,plain,
    ( ( cG @ sK2 )
   != ( ^ [Y0: $o] :
          ( ( cF @ Y0 )
          | ( cG @ Y0 ) )
      @ sK2 ) ),
    inference(negative_extensionality,[],[f14]) ).

thf(f14,plain,
    ( cG
   != ( ^ [Y0: $o] :
          ( ( cF @ Y0 )
          | ( cG @ Y0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f13]) ).

thf(f13,plain,
    ( ( cG
     != ( ^ [Y0: $o] :
            ( ( cF @ Y0 )
            | ( cG @ Y0 ) ) ) )
    | ( $true != $true ) ),
    inference(constrained_superposition,[],[f8,f9]) ).

thf(f9,plain,
    ( ( cP @ cG )
    = $true ),
    inference(cnf_transformation,[],[f7]) ).

thf(f7,plain,
    ( ( ( cP @ cF )
      = $true )
    & ( ( cP
        @ ^ [Y0: $o] :
            ( ~ ( cF @ Y0 )
            | ( cG @ Y0 ) ) )
     != $true )
    & ( ( cP @ cG )
      = $true )
    & ( $true
     != ( cP
        @ ^ [Y0: $o] :
            ( ( cF @ Y0 )
            | ( cG @ Y0 ) ) ) ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ( ( $true
     != ( cP
        @ ^ [Y0: $o] :
            ( ( cF @ Y0 )
            | ( cG @ Y0 ) ) ) )
    & ( ( cP
        @ ^ [Y0: $o] :
            ( ~ ( cF @ Y0 )
            | ( cG @ Y0 ) ) )
     != $true )
    & ( ( cP @ cG )
      = $true )
    & ( ( cP @ cF )
      = $true ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ( ( cP @ cG )
          = $true )
        & ( ( cP @ cF )
          = $true ) )
     => ( ( $true
          = ( cP
            @ ^ [Y0: $o] :
                ( ( cF @ Y0 )
                | ( cG @ Y0 ) ) ) )
        | ( ( cP
            @ ^ [Y0: $o] :
                ( ~ ( cF @ Y0 )
                | ( cG @ Y0 ) ) )
          = $true ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( ( cP @ cF )
        & ( cP @ cG ) )
     => ( ( cP
          @ ^ [X0: $o] :
              ( ( cG @ X0 )
              | ~ ( cF @ X0 ) ) )
        | ( cP
          @ ^ [X1: $o] :
              ( ( cG @ X1 )
              | ( cF @ X1 ) ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ( cP @ cF )
        & ( cP @ cG ) )
     => ( ( cP
          @ ^ [X0: $o] :
              ( ( cG @ X0 )
              | ~ ( cF @ X0 ) ) )
        | ( cP
          @ ^ [X0: $o] :
              ( ( cG @ X0 )
              | ( cF @ X0 ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ( cP @ cF )
      & ( cP @ cG ) )
   => ( ( cP
        @ ^ [X0: $o] :
            ( ( cG @ X0 )
            | ~ ( cF @ X0 ) ) )
      | ( cP
        @ ^ [X0: $o] :
            ( ( cG @ X0 )
            | ( cF @ X0 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM627) ).

thf(f8,plain,
    ( $true
   != ( cP
      @ ^ [Y0: $o] :
          ( ( cF @ Y0 )
          | ( cG @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f392,plain,
    ( spl0_18
    | spl0_8
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f353,f271,f26,f90,f384]) ).

thf(f353,plain,
    ( ( $true = sK2 )
    | ( $true = sK5 )
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(binary_proxy_clausification,[],[f352]) ).

thf(f390,plain,
    ( spl0_18
    | spl0_7
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f306,f55,f86,f384]) ).

thf(f306,plain,
    ( ( $true = sK5 )
    | ( $true = sK3 )
    | ~ spl0_4 ),
    inference(binary_proxy_clausification,[],[f305]) ).

thf(f305,plain,
    ( ( sK5 != sK3 )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f301]) ).

thf(f301,plain,
    ( ( sK5 != sK3 )
    | ( $true = $false )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f262,f57]) ).

thf(f262,plain,
    ( $false
    = ( cG @ sK5 ) ),
    inference(duplicate_literal_removal,[],[f259]) ).

thf(f259,plain,
    ( ( $false
      = ( cG @ sK5 ) )
    | ( $false
      = ( cG @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f258]) ).

thf(f258,plain,
    ( ( ( ~ ( cF @ sK5 )
        | ( cG @ sK5 ) )
      = $false )
    | ( $false
      = ( cG @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f256]) ).

thf(f256,plain,
    ( ( ~ ( cF @ sK5 )
      | ( cG @ sK5 ) )
   != ( cG @ sK5 ) ),
    inference(beta_eta_normalization,[],[f255]) ).

thf(f255,plain,
    ( ( cG @ sK5 )
   != ( ^ [Y0: $o] :
          ( ~ ( cF @ Y0 )
          | ( cG @ Y0 ) )
      @ sK5 ) ),
    inference(negative_extensionality,[],[f72]) ).

thf(f72,plain,
    ( cG
   != ( ^ [Y0: $o] :
          ( ~ ( cF @ Y0 )
          | ( cG @ Y0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f70]) ).

thf(f70,plain,
    ( ( $true != $true )
    | ( cG
     != ( ^ [Y0: $o] :
            ( ~ ( cF @ Y0 )
            | ( cG @ Y0 ) ) ) ) ),
    inference(constrained_superposition,[],[f10,f9]) ).

thf(f10,plain,
    ( ( cP
      @ ^ [Y0: $o] :
          ( ~ ( cF @ Y0 )
          | ( cG @ Y0 ) ) )
   != $true ),
    inference(cnf_transformation,[],[f7]) ).

thf(f316,plain,
    ~ spl0_16,
    inference(avatar_contradiction_clause,[],[f315]) ).

thf(f315,plain,
    ( $false
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f302]) ).

thf(f302,plain,
    ( ( $true = $false )
    | ~ spl0_16 ),
    inference(superposition,[],[f269,f262]) ).

thf(f269,plain,
    ( ( $true
      = ( cG @ sK5 ) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f267]) ).

thf(f274,plain,
    ( spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f265,f271,f267]) ).

thf(f265,plain,
    ( ( $true
      = ( cG @ sK5 ) )
    | ( $false
      = ( cF @ sK5 ) ) ),
    inference(not_proxy_clausification,[],[f264]) ).

thf(f264,plain,
    ( ( $true
      = ( ~ ( cF @ sK5 ) ) )
    | ( $true
      = ( cG @ sK5 ) ) ),
    inference(duplicate_literal_removal,[],[f263]) ).

thf(f263,plain,
    ( ( $true
      = ( cG @ sK5 ) )
    | ( $true
      = ( ~ ( cF @ sK5 ) ) )
    | ( $true
      = ( cG @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f257]) ).

thf(f257,plain,
    ( ( $true
      = ( cG @ sK5 ) )
    | ( $true
      = ( ~ ( cF @ sK5 )
        | ( cG @ sK5 ) ) ) ),
    inference(binary_proxy_clausification,[],[f256]) ).

thf(f252,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f247,f86,f60,f26,f90]) ).

thf(f60,plain,
    ( spl0_5
  <=> ( ( cF @ sK3 )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

thf(f247,plain,
    ( ( $true != sK2 )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f244]) ).

thf(f244,plain,
    ( ( $true != sK2 )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(constrained_superposition,[],[f28,f128]) ).

thf(f128,plain,
    ( ( ( cF @ $true )
      = $false )
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f62,f88]) ).

thf(f88,plain,
    ( ( $true = sK3 )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f86]) ).

thf(f62,plain,
    ( ( ( cF @ sK3 )
      = $false )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f60]) ).

thf(f135,plain,
    ( ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f134]) ).

thf(f134,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f129]) ).

thf(f129,plain,
    ( ( $true = $false )
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f97,f88]) ).

thf(f97,plain,
    ( ( $false = sK3 )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f95]) ).

thf(f123,plain,
    ( ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f122]) ).

thf(f122,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f110]) ).

thf(f110,plain,
    ( ( $true = $false )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(superposition,[],[f62,f53]) ).

thf(f53,plain,
    ( ( $true
      = ( cF @ sK3 ) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f51]) ).

thf(f51,plain,
    ( spl0_3
  <=> ( $true
      = ( cF @ sK3 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

thf(f68,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f47,f60]) ).

thf(f47,plain,
    ( ( cF @ sK3 )
    = $false ),
    inference(duplicate_literal_removal,[],[f46]) ).

thf(f46,plain,
    ( ( ( cF @ sK3 )
      = $false )
    | ( ( cF @ sK3 )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f44]) ).

thf(f44,plain,
    ( ( ( cF @ sK3 )
      = $false )
    | ( ( ( cF @ sK3 )
        | ( cG @ sK3 ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f42]) ).

thf(f42,plain,
    ( ( ( cF @ sK3 )
      | ( cG @ sK3 ) )
   != ( cF @ sK3 ) ),
    inference(beta_eta_normalization,[],[f41]) ).

thf(f41,plain,
    ( ( ^ [Y0: $o] :
          ( ( cF @ Y0 )
          | ( cG @ Y0 ) )
      @ sK3 )
   != ( cF @ sK3 ) ),
    inference(negative_extensionality,[],[f15]) ).

thf(f15,plain,
    ( cF
   != ( ^ [Y0: $o] :
          ( ( cF @ Y0 )
          | ( cG @ Y0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f12]) ).

thf(f12,plain,
    ( ( $true != $true )
    | ( cF
     != ( ^ [Y0: $o] :
            ( ( cF @ Y0 )
            | ( cG @ Y0 ) ) ) ) ),
    inference(constrained_superposition,[],[f8,f11]) ).

thf(f11,plain,
    ( ( cP @ cF )
    = $true ),
    inference(cnf_transformation,[],[f7]) ).

thf(f58,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f49,f55,f51]) ).

thf(f49,plain,
    ( ( $true
      = ( cG @ sK3 ) )
    | ( $true
      = ( cF @ sK3 ) ) ),
    inference(duplicate_literal_removal,[],[f48]) ).

thf(f48,plain,
    ( ( $true
      = ( cG @ sK3 ) )
    | ( $true
      = ( cF @ sK3 ) )
    | ( $true
      = ( cF @ sK3 ) ) ),
    inference(binary_proxy_clausification,[],[f43]) ).

thf(f43,plain,
    ( ( ( ( cF @ sK3 )
        | ( cG @ sK3 ) )
      = $true )
    | ( $true
      = ( cF @ sK3 ) ) ),
    inference(binary_proxy_clausification,[],[f42]) ).

thf(f39,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f38]) ).

thf(f38,plain,
    ( $false
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f34]) ).

thf(f34,plain,
    ( ( $true = $false )
    | ~ spl0_2 ),
    inference(superposition,[],[f22,f32]) ).

thf(f32,plain,
    ( ( $true
      = ( cG @ sK2 ) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f30]) ).

thf(f30,plain,
    ( spl0_2
  <=> ( $true
      = ( cG @ sK2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

thf(f33,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f24,f30,f26]) ).

thf(f24,plain,
    ( ( $true
      = ( cF @ sK2 ) )
    | ( $true
      = ( cG @ sK2 ) ) ),
    inference(duplicate_literal_removal,[],[f23]) ).

thf(f23,plain,
    ( ( $true
      = ( cF @ sK2 ) )
    | ( $true
      = ( cG @ sK2 ) )
    | ( $true
      = ( cG @ sK2 ) ) ),
    inference(binary_proxy_clausification,[],[f18]) ).

thf(f18,plain,
    ( ( $true
      = ( cG @ sK2 ) )
    | ( $true
      = ( ( cF @ sK2 )
        | ( cG @ sK2 ) ) ) ),
    inference(binary_proxy_clausification,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO376^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37  % Computer : n021.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon May 20 09:30:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TH0_THM_NEQ_NAR problem
% 0.15/0.37  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/sandbox2/benchmark/theBenchmark.p
% 0.15/0.39  % (30512)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.39  % (30514)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.15/0.39  % (30515)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.39  % (30516)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.39  % (30517)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 (3000ds/275Mi)
% 0.15/0.39  % (30513)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.15/0.39  % (30518)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.39  % (30519)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.15/0.39  % (30517)Refutation not found, incomplete strategy
% 0.15/0.39  % (30517)------------------------------
% 0.15/0.39  % (30517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (30517)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39  
% 0.15/0.39  % (30515)Refutation not found, incomplete strategy
% 0.15/0.39  % (30515)------------------------------
% 0.15/0.39  % (30515)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (30515)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39  
% 0.15/0.39  
% 0.15/0.39  % (30515)Memory used [KB]: 5500
% 0.15/0.39  % (30515)Time elapsed: 0.003 s
% 0.15/0.39  % (30515)Instructions burned: 1 (million)
% 0.15/0.39  % (30515)------------------------------
% 0.15/0.39  % (30515)------------------------------
% 0.15/0.39  
% 0.15/0.39  % (30517)Memory used [KB]: 5500
% 0.15/0.39  % (30514)Refutation not found, incomplete strategy
% 0.15/0.39  % (30514)------------------------------
% 0.15/0.39  % (30514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (30514)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39  
% 0.15/0.39  
% 0.15/0.39  % (30514)Memory used [KB]: 5500
% 0.15/0.39  % (30514)Time elapsed: 0.002 s
% 0.15/0.39  % (30514)Instructions burned: 1 (million)
% 0.15/0.39  % (30514)------------------------------
% 0.15/0.39  % (30514)------------------------------
% 0.15/0.39  % (30517)Time elapsed: 0.003 s
% 0.15/0.39  % (30517)Instructions burned: 1 (million)
% 0.15/0.39  % (30517)------------------------------
% 0.15/0.39  % (30517)------------------------------
% 0.15/0.39  % (30516)Instruction limit reached!
% 0.15/0.39  % (30516)------------------------------
% 0.15/0.39  % (30516)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (30516)Termination reason: Unknown
% 0.15/0.39  % (30516)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (30516)Memory used [KB]: 5500
% 0.15/0.39  % (30516)Time elapsed: 0.004 s
% 0.15/0.39  % (30516)Instructions burned: 3 (million)
% 0.15/0.39  % (30516)------------------------------
% 0.15/0.39  % (30516)------------------------------
% 0.15/0.39  % (30513)Refutation not found, incomplete strategy
% 0.15/0.39  % (30513)------------------------------
% 0.15/0.39  % (30513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (30513)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39  
% 0.15/0.39  % (30519)Instruction limit reached!
% 0.15/0.39  % (30519)------------------------------
% 0.15/0.39  % (30519)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (30519)Termination reason: Unknown
% 0.15/0.39  % (30519)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (30519)Memory used [KB]: 5500
% 0.15/0.39  % (30519)Time elapsed: 0.004 s
% 0.15/0.39  % (30519)Instructions burned: 3 (million)
% 0.15/0.39  % (30519)------------------------------
% 0.15/0.39  % (30519)------------------------------
% 0.15/0.39  
% 0.15/0.39  % (30513)Memory used [KB]: 5500
% 0.15/0.39  % (30513)Time elapsed: 0.003 s
% 0.15/0.39  % (30513)Instructions burned: 2 (million)
% 0.15/0.39  % (30513)------------------------------
% 0.15/0.39  % (30513)------------------------------
% 0.15/0.40  % (30518)Refutation not found, incomplete strategy
% 0.15/0.40  % (30518)------------------------------
% 0.15/0.40  % (30518)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (30518)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40  
% 0.15/0.40  
% 0.15/0.40  % (30518)Memory used [KB]: 5500
% 0.15/0.40  % (30518)Time elapsed: 0.007 s
% 0.15/0.40  % (30518)Instructions burned: 7 (million)
% 0.15/0.40  % (30518)------------------------------
% 0.15/0.40  % (30518)------------------------------
% 0.23/0.40  % (30512)First to succeed.
% 0.23/0.40  % (30512)Refutation found. Thanks to Tanya!
% 0.23/0.40  % SZS status Theorem for theBenchmark
% 0.23/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.41  % (30512)------------------------------
% 0.23/0.41  % (30512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41  % (30512)Termination reason: Refutation
% 0.23/0.41  
% 0.23/0.41  % (30512)Memory used [KB]: 5628
% 0.23/0.41  % (30512)Time elapsed: 0.013 s
% 0.23/0.41  % (30512)Instructions burned: 14 (million)
% 0.23/0.41  % (30512)------------------------------
% 0.23/0.41  % (30512)------------------------------
% 0.23/0.41  % (30511)Success in time 0.036 s
% 0.23/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------