TSTP Solution File: SEV458^1 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SEV458^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n027.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 : Mon Jun 24 16:03:57 EDT 2024

% Result   : Theorem 1.55s 0.56s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  104 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :  693 ( 131 equ;   0 cnn)
%            Maximal formula atoms :    5 (   6 avg)
%            Number of connectives :  794 (  89   ~; 142   |;   0   &; 554   @)
%                                         (   8 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   49 (  49   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  16 usr;  11 con; 0-4 aty)
%            Number of variables   :   92 (   0   ^  84   !;   8   ?;  92   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_6,type,
    sK0: $tType ).

thf(func_def_0,type,
    'const/sets/UNION': 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 > $o ) ).

thf(func_def_1,type,
    'const/sets/IN': 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).

thf(func_def_10,type,
    sK1: sK0 > $o ).

thf(func_def_11,type,
    sK2: sK0 > $o ).

thf(func_def_12,type,
    sK3: sK0 > $o ).

thf(func_def_14,type,
    sK5: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_16,type,
    ph6: 
      !>[X0: $tType] : X0 ).

thf(func_def_17,type,
    sK7: sK0 ).

thf(f1117,plain,
    $false,
    inference(avatar_sat_refutation,[],[f51,f60,f180,f183,f300,f333,f336,f803,f873,f1018,f1116]) ).

thf(f1116,plain,
    ( ~ spl4_1
    | ~ spl4_4
    | spl4_5 ),
    inference(avatar_contradiction_clause,[],[f1115]) ).

thf(f1115,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_4
    | spl4_5 ),
    inference(trivial_inequality_removal,[],[f1114]) ).

thf(f1114,plain,
    ( ( $false = $true )
    | ~ spl4_1
    | ~ spl4_4
    | spl4_5 ),
    inference(forward_demodulation,[],[f1113,f1069]) ).

thf(f1069,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ sK2 ) )
    | ~ spl4_4 ),
    inference(trivial_inequality_removal,[],[f1066]) ).

thf(f1066,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ sK2 ) )
    | ( $false = $true )
    | ~ spl4_4 ),
    inference(superposition,[],[f103,f59]) ).

thf(f59,plain,
    ( ( $false
      = ( 'const/sets/UNION' @ sK0 @ sK2 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) @ sK7 ) )
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f57]) ).

thf(f57,plain,
    ( spl4_4
  <=> ( $false
      = ( 'const/sets/UNION' @ sK0 @ sK2 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) @ sK7 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

thf(f103,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( ( 'const/sets/UNION' @ X0 @ X2 @ X3 @ X1 )
        = $true )
      | ( ( 'const/sets/IN' @ X0 @ X1 @ X2 )
        = $false ) ),
    inference(trivial_inequality_removal,[],[f97]) ).

thf(f97,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( $false = $true )
      | ( ( 'const/sets/IN' @ X0 @ X1 @ X2 )
        = $false )
      | ( ( 'const/sets/UNION' @ X0 @ X2 @ X3 @ X1 )
        = $true ) ),
    inference(superposition,[],[f39,f36]) ).

thf(f36,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) )
        = $true )
      | ( $false
        = ( 'const/sets/IN' @ X0 @ X3 @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f33]) ).

thf(f33,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) )
        = $true )
      | ( $false
        = ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
          | ( 'const/sets/IN' @ X0 @ X3 @ X1 ) ) ) ),
    inference(binary_proxy_clausification,[],[f18]) ).

thf(f18,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) )
      = ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
        | ( 'const/sets/IN' @ X0 @ X3 @ X1 ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f8,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o,X3: X0] :
      ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) )
      = ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
        | ( 'const/sets/IN' @ X0 @ X3 @ X1 ) ) ),
    inference(fool_elimination,[],[f7]) ).

thf(f7,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o,X3: X0] :
      ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
      | ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
        = ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X4: X0] :
      ( ( 'const/sets/IN' @ X0 @ X4 @ X2 )
      | ( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
        = ( 'const/sets/IN' @ X0 @ X4 @ ( 'const/sets/UNION' @ X0 @ X2 @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/IN_UNION_') ).

thf(f39,plain,
    ! [X0: $tType,X2: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
        = $false )
      | ( ( X1 @ X2 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f15]) ).

thf(f15,plain,
    ! [X0: $tType,X2: X0,X1: X0 > $o] :
      ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
      = ( X1 @ X2 ) ),
    inference(cnf_transformation,[],[f1]) ).

thf(f1,axiom,
    ! [X0: $tType,X1: X0 > $o,X2: X0] :
      ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
      = ( X1 @ X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/IN_') ).

thf(f1113,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK2 )
      = $true )
    | ~ spl4_1
    | spl4_5 ),
    inference(trivial_inequality_removal,[],[f1112]) ).

thf(f1112,plain,
    ( ( $false = $true )
    | ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK2 )
      = $true )
    | ~ spl4_1
    | spl4_5 ),
    inference(forward_demodulation,[],[f1096,f956]) ).

thf(f956,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ sK3 ) )
    | spl4_5 ),
    inference(trivial_inequality_removal,[],[f947]) ).

thf(f947,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ sK3 ) )
    | ( $true != $true )
    | spl4_5 ),
    inference(superposition,[],[f173,f37]) ).

thf(f37,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) )
        = $true )
      | ( $false
        = ( 'const/sets/IN' @ X0 @ X3 @ X2 ) ) ),
    inference(binary_proxy_clausification,[],[f33]) ).

thf(f173,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) )
     != $true )
    | spl4_5 ),
    inference(avatar_component_clause,[],[f172]) ).

thf(f172,plain,
    ( spl4_5
  <=> ( ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

thf(f1096,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK3 )
      = $true )
    | ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK2 )
      = $true )
    | ~ spl4_1
    | spl4_5 ),
    inference(trivial_inequality_removal,[],[f1086]) ).

thf(f1086,plain,
    ( ( $false = $true )
    | ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK3 )
      = $true )
    | ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK2 )
      = $true )
    | ~ spl4_1
    | spl4_5 ),
    inference(superposition,[],[f1049,f35]) ).

thf(f35,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( $false
        = ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) ) )
      | ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
        = $true )
      | ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f34]) ).

thf(f34,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( $false
        = ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) ) )
      | ( $true
        = ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
          | ( 'const/sets/IN' @ X0 @ X3 @ X1 ) ) ) ),
    inference(binary_proxy_clausification,[],[f18]) ).

thf(f1049,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) )
      = $true )
    | ~ spl4_1
    | spl4_5 ),
    inference(trivial_inequality_removal,[],[f1048]) ).

thf(f1048,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) )
      = $true )
    | ( $false = $true )
    | ~ spl4_1
    | spl4_5 ),
    inference(forward_demodulation,[],[f1044,f989]) ).

thf(f989,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ sK1 ) )
    | spl4_5 ),
    inference(trivial_inequality_removal,[],[f988]) ).

thf(f988,plain,
    ( ( $false = $true )
    | ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ sK1 ) )
    | spl4_5 ),
    inference(superposition,[],[f103,f955]) ).

thf(f955,plain,
    ( ( $false
      = ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 @ sK7 ) )
    | spl4_5 ),
    inference(trivial_inequality_removal,[],[f946]) ).

thf(f946,plain,
    ( ( $true != $true )
    | ( $false
      = ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 @ sK7 ) )
    | spl4_5 ),
    inference(superposition,[],[f173,f38]) ).

thf(f38,plain,
    ! [X0: $tType,X2: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
        = $true )
      | ( ( X1 @ X2 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f15]) ).

thf(f1044,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK1 )
      = $true )
    | ( ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) )
      = $true )
    | ~ spl4_1 ),
    inference(trivial_inequality_removal,[],[f1033]) ).

thf(f1033,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) )
      = $true )
    | ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK1 )
      = $true )
    | ( $false = $true )
    | ~ spl4_1 ),
    inference(superposition,[],[f46,f85]) ).

thf(f85,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( ( 'const/sets/UNION' @ X0 @ X2 @ X3 @ X1 )
        = $false )
      | ( ( 'const/sets/IN' @ X0 @ X1 @ X3 )
        = $true )
      | ( ( 'const/sets/IN' @ X0 @ X1 @ X2 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f82]) ).

thf(f82,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( ( 'const/sets/IN' @ X0 @ X1 @ X2 )
        = $true )
      | ( $false = $true )
      | ( ( 'const/sets/IN' @ X0 @ X1 @ X3 )
        = $true )
      | ( ( 'const/sets/UNION' @ X0 @ X2 @ X3 @ X1 )
        = $false ) ),
    inference(superposition,[],[f35,f38]) ).

thf(f46,plain,
    ( ( $true
      = ( 'const/sets/UNION' @ sK0 @ sK1 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) @ sK7 ) )
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f44]) ).

thf(f44,plain,
    ( spl4_1
  <=> ( $true
      = ( 'const/sets/UNION' @ sK0 @ sK1 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) @ sK7 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

thf(f1018,plain,
    ( ~ spl4_3
    | ~ spl4_6 ),
    inference(avatar_contradiction_clause,[],[f1017]) ).

thf(f1017,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_6 ),
    inference(trivial_inequality_removal,[],[f1016]) ).

thf(f1016,plain,
    ( ( $false = $true )
    | ~ spl4_3
    | ~ spl4_6 ),
    inference(backward_demodulation,[],[f178,f1012]) ).

thf(f1012,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ sK2 ) )
    | ~ spl4_3 ),
    inference(trivial_inequality_removal,[],[f1005]) ).

thf(f1005,plain,
    ( ( $false = $true )
    | ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ sK2 ) )
    | ~ spl4_3 ),
    inference(superposition,[],[f36,f925]) ).

thf(f925,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) ) )
    | ~ spl4_3 ),
    inference(trivial_inequality_removal,[],[f922]) ).

thf(f922,plain,
    ( ( $false = $true )
    | ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) ) )
    | ~ spl4_3 ),
    inference(superposition,[],[f133,f55]) ).

thf(f55,plain,
    ( ( $false
      = ( 'const/sets/UNION' @ sK0 @ sK1 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) @ sK7 ) )
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f53]) ).

thf(f53,plain,
    ( spl4_3
  <=> ( $false
      = ( 'const/sets/UNION' @ sK0 @ sK1 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) @ sK7 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

thf(f133,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( ( 'const/sets/UNION' @ X0 @ X2 @ X3 @ X1 )
        = $true )
      | ( $false
        = ( 'const/sets/IN' @ X0 @ X1 @ X3 ) ) ),
    inference(trivial_inequality_removal,[],[f123]) ).

thf(f123,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( ( 'const/sets/UNION' @ X0 @ X2 @ X3 @ X1 )
        = $true )
      | ( $false = $true )
      | ( $false
        = ( 'const/sets/IN' @ X0 @ X1 @ X3 ) ) ),
    inference(superposition,[],[f37,f39]) ).

thf(f178,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK2 )
      = $true )
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f176]) ).

thf(f176,plain,
    ( spl4_6
  <=> ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK2 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

thf(f873,plain,
    ( ~ spl4_4
    | ~ spl4_5 ),
    inference(avatar_contradiction_clause,[],[f872]) ).

thf(f872,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_5 ),
    inference(trivial_inequality_removal,[],[f871]) ).

thf(f871,plain,
    ( ( $false = $true )
    | ~ spl4_4
    | ~ spl4_5 ),
    inference(backward_demodulation,[],[f174,f870]) ).

thf(f870,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) ) )
    | ~ spl4_4 ),
    inference(trivial_inequality_removal,[],[f863]) ).

thf(f863,plain,
    ( ( $false = $true )
    | ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) ) )
    | ~ spl4_4 ),
    inference(superposition,[],[f59,f133]) ).

thf(f174,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) )
      = $true )
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f172]) ).

thf(f803,plain,
    ( ~ spl4_3
    | ~ spl4_8 ),
    inference(avatar_contradiction_clause,[],[f802]) ).

thf(f802,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_8 ),
    inference(trivial_inequality_removal,[],[f801]) ).

thf(f801,plain,
    ( ( $false = $true )
    | ~ spl4_3
    | ~ spl4_8 ),
    inference(backward_demodulation,[],[f298,f796]) ).

thf(f796,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ sK3 ) )
    | ~ spl4_3 ),
    inference(trivial_inequality_removal,[],[f784]) ).

thf(f784,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ sK3 ) )
    | ( $false = $true )
    | ~ spl4_3 ),
    inference(superposition,[],[f386,f37]) ).

thf(f386,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) ) )
    | ~ spl4_3 ),
    inference(trivial_inequality_removal,[],[f380]) ).

thf(f380,plain,
    ( ( $false = $true )
    | ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) ) )
    | ~ spl4_3 ),
    inference(superposition,[],[f55,f133]) ).

thf(f298,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK3 )
      = $true )
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f296]) ).

thf(f296,plain,
    ( spl4_8
  <=> ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK3 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

thf(f336,plain,
    ( ~ spl4_2
    | ~ spl4_4 ),
    inference(avatar_contradiction_clause,[],[f335]) ).

thf(f335,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_4 ),
    inference(trivial_inequality_removal,[],[f334]) ).

thf(f334,plain,
    ( ( $false = $true )
    | ~ spl4_2
    | ~ spl4_4 ),
    inference(backward_demodulation,[],[f50,f59]) ).

thf(f50,plain,
    ( ( ( 'const/sets/UNION' @ sK0 @ sK2 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) @ sK7 )
      = $true )
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f48]) ).

thf(f48,plain,
    ( spl4_2
  <=> ( ( 'const/sets/UNION' @ sK0 @ sK2 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) @ sK7 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

thf(f333,plain,
    ( ~ spl4_3
    | ~ spl4_7 ),
    inference(avatar_contradiction_clause,[],[f332]) ).

thf(f332,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_7 ),
    inference(trivial_inequality_removal,[],[f331]) ).

thf(f331,plain,
    ( ( $false = $true )
    | ~ spl4_3
    | ~ spl4_7 ),
    inference(backward_demodulation,[],[f294,f330]) ).

thf(f330,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ sK1 ) )
    | ~ spl4_3 ),
    inference(trivial_inequality_removal,[],[f320]) ).

thf(f320,plain,
    ( ( $false
      = ( 'const/sets/IN' @ sK0 @ sK7 @ sK1 ) )
    | ( $false = $true )
    | ~ spl4_3 ),
    inference(superposition,[],[f55,f103]) ).

thf(f294,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK1 )
      = $true )
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f292]) ).

thf(f292,plain,
    ( spl4_7
  <=> ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK1 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

thf(f300,plain,
    ( spl4_7
    | spl4_8
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f284,f172,f296,f292]) ).

thf(f284,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK3 )
      = $true )
    | ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK1 )
      = $true )
    | ~ spl4_5 ),
    inference(trivial_inequality_removal,[],[f279]) ).

thf(f279,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK1 )
      = $true )
    | ( $false = $true )
    | ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK3 )
      = $true )
    | ~ spl4_5 ),
    inference(superposition,[],[f35,f174]) ).

thf(f183,plain,
    ( ~ spl4_1
    | ~ spl4_3 ),
    inference(avatar_contradiction_clause,[],[f182]) ).

thf(f182,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_3 ),
    inference(trivial_inequality_removal,[],[f181]) ).

thf(f181,plain,
    ( ( $false = $true )
    | ~ spl4_1
    | ~ spl4_3 ),
    inference(forward_demodulation,[],[f46,f55]) ).

thf(f180,plain,
    ( spl4_5
    | spl4_6
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f169,f48,f176,f172]) ).

thf(f169,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) )
      = $true )
    | ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK2 )
      = $true )
    | ~ spl4_2 ),
    inference(trivial_inequality_removal,[],[f168]) ).

thf(f168,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK7 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) )
      = $true )
    | ( $false = $true )
    | ( ( 'const/sets/IN' @ sK0 @ sK7 @ sK2 )
      = $true )
    | ~ spl4_2 ),
    inference(superposition,[],[f50,f85]) ).

thf(f60,plain,
    ( spl4_3
    | spl4_4 ),
    inference(avatar_split_clause,[],[f42,f57,f53]) ).

thf(f42,plain,
    ( ( $false
      = ( 'const/sets/UNION' @ sK0 @ sK2 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) @ sK7 ) )
    | ( $false
      = ( 'const/sets/UNION' @ sK0 @ sK1 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) @ sK7 ) ) ),
    inference(binary_proxy_clausification,[],[f40]) ).

thf(f40,plain,
    ( ( 'const/sets/UNION' @ sK0 @ sK2 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) @ sK7 )
   != ( 'const/sets/UNION' @ sK0 @ sK1 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) @ sK7 ) ),
    inference(negative_extensionality,[],[f17]) ).

thf(f17,plain,
    ( ( 'const/sets/UNION' @ sK0 @ sK1 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) )
   != ( 'const/sets/UNION' @ sK0 @ sK2 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ( ( 'const/sets/UNION' @ sK0 @ sK1 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) )
   != ( 'const/sets/UNION' @ sK0 @ sK2 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f12,f13]) ).

thf(f13,plain,
    ( ? [X0: $tType,X1: X0 > $o,X2: X0 > $o,X3: X0 > $o] :
        ( ( 'const/sets/UNION' @ X0 @ X1 @ ( 'const/sets/UNION' @ X0 @ X2 @ X3 ) )
       != ( 'const/sets/UNION' @ X0 @ X2 @ ( 'const/sets/UNION' @ X0 @ X1 @ X3 ) ) )
   => ( ( 'const/sets/UNION' @ sK0 @ sK1 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) )
     != ( 'const/sets/UNION' @ sK0 @ sK2 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ? [X0: $tType,X1: X0 > $o,X2: X0 > $o,X3: X0 > $o] :
      ( ( 'const/sets/UNION' @ X0 @ X1 @ ( 'const/sets/UNION' @ X0 @ X2 @ X3 ) )
     != ( 'const/sets/UNION' @ X0 @ X2 @ ( 'const/sets/UNION' @ X0 @ X1 @ X3 ) ) ),
    inference(ennf_transformation,[],[f11]) ).

thf(f11,plain,
    ~ ! [X0: $tType,X1: X0 > $o,X2: X0 > $o,X3: X0 > $o] :
        ( ( 'const/sets/UNION' @ X0 @ X1 @ ( 'const/sets/UNION' @ X0 @ X2 @ X3 ) )
        = ( 'const/sets/UNION' @ X0 @ X2 @ ( 'const/sets/UNION' @ X0 @ X1 @ X3 ) ) ),
    inference(rectify,[],[f5]) ).

thf(f5,negated_conjecture,
    ~ ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X4: X0 > $o] :
        ( ( 'const/sets/UNION' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X2 @ X4 ) )
        = ( 'const/sets/UNION' @ X0 @ X2 @ ( 'const/sets/UNION' @ X0 @ X3 @ X4 ) ) ),
    inference(negated_conjecture,[],[f4]) ).

thf(f4,conjecture,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X4: X0 > $o] :
      ( ( 'const/sets/UNION' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X2 @ X4 ) )
      = ( 'const/sets/UNION' @ X0 @ X2 @ ( 'const/sets/UNION' @ X0 @ X3 @ X4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/UNION_ACI_2') ).

thf(f51,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f41,f48,f44]) ).

thf(f41,plain,
    ( ( $true
      = ( 'const/sets/UNION' @ sK0 @ sK1 @ ( 'const/sets/UNION' @ sK0 @ sK2 @ sK3 ) @ sK7 ) )
    | ( ( 'const/sets/UNION' @ sK0 @ sK2 @ ( 'const/sets/UNION' @ sK0 @ sK1 @ sK3 ) @ sK7 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SEV458^1 : TPTP v8.2.0. Released v7.0.0.
% 0.03/0.11  % Command    : run_vampire %s %d THM
% 0.11/0.32  % Computer : n027.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri Jun 21 19:03:09 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.34  This is a TH1_THM_EQU_NAR problem
% 0.11/0.34  Running higher-order theorem proving
% 0.11/0.34  Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.21/0.36  % (14911)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 (2999ds/27Mi)
% 0.21/0.36  % (14915)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.36  % (14910)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 (2999ds/4Mi)
% 0.21/0.37  % (14909)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.37  % (14912)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37  % (14913)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 (2999ds/2Mi)
% 0.21/0.37  % (14914)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)
% 0.21/0.37  % Exception at run slice level
% 0.21/0.37  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.37  % (14912)Instruction limit reached!
% 0.21/0.37  % (14912)------------------------------
% 0.21/0.37  % (14912)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.37  % (14912)Termination reason: Unknown
% 0.21/0.37  % (14912)Termination phase: Saturation
% 0.21/0.37  
% 0.21/0.37  % (14912)Memory used [KB]: 5373
% 0.21/0.37  % (14912)Time elapsed: 0.003 s
% 0.21/0.37  % (14912)Instructions burned: 2 (million)
% 0.21/0.37  % (14912)------------------------------
% 0.21/0.37  % (14912)------------------------------
% 0.21/0.37  % (14910)Instruction limit reached!
% 0.21/0.37  % (14910)------------------------------
% 0.21/0.37  % (14910)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.37  % (14910)Termination reason: Unknown
% 0.21/0.37  % (14910)Termination phase: Saturation
% 0.21/0.37  
% 0.21/0.37  % (14910)Memory used [KB]: 5500
% 0.21/0.37  % (14910)Time elapsed: 0.005 s
% 0.21/0.37  % (14910)Instructions burned: 4 (million)
% 0.21/0.37  % (14910)------------------------------
% 0.21/0.37  % (14910)------------------------------
% 0.21/0.37  % (14911)Instruction limit reached!
% 0.21/0.37  % (14911)------------------------------
% 0.21/0.37  % (14911)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.37  % (14911)Termination reason: Unknown
% 0.21/0.37  % (14911)Termination phase: Saturation
% 0.21/0.37  
% 0.21/0.37  % (14911)Memory used [KB]: 5628
% 0.21/0.37  % (14911)Time elapsed: 0.012 s
% 0.21/0.37  % (14911)Instructions burned: 27 (million)
% 0.21/0.37  % (14911)------------------------------
% 0.21/0.37  % (14911)------------------------------
% 0.21/0.37  % (14914)Refutation not found, incomplete strategy
% 0.21/0.37  % (14914)------------------------------
% 0.21/0.37  % (14914)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.37  % (14914)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.37  
% 0.21/0.37  
% 0.21/0.37  % (14914)Memory used [KB]: 5500
% 0.21/0.37  % (14914)Time elapsed: 0.005 s
% 0.21/0.37  % (14914)Instructions burned: 3 (million)
% 0.21/0.37  % (14914)------------------------------
% 0.21/0.37  % (14914)------------------------------
% 0.21/0.37  % (14915)Instruction limit reached!
% 0.21/0.37  % (14915)------------------------------
% 0.21/0.37  % (14915)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.37  % (14915)Termination reason: Unknown
% 0.21/0.37  % (14915)Termination phase: Saturation
% 0.21/0.37  
% 0.21/0.37  % (14915)Memory used [KB]: 5628
% 0.21/0.37  % (14915)Time elapsed: 0.010 s
% 0.21/0.37  % (14915)Instructions burned: 18 (million)
% 0.21/0.37  % (14915)------------------------------
% 0.21/0.37  % (14915)------------------------------
% 0.21/0.38  % (14923)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.38  % (14923)Refutation not found, incomplete strategy
% 0.21/0.38  % (14923)------------------------------
% 0.21/0.38  % (14923)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38  % (14923)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38  
% 0.21/0.38  
% 0.21/0.38  % (14923)Memory used [KB]: 5500
% 0.21/0.38  % (14923)Time elapsed: 0.003 s
% 0.21/0.38  % (14923)Instructions burned: 4 (million)
% 0.21/0.38  % (14923)------------------------------
% 0.21/0.38  % (14923)------------------------------
% 0.21/0.38  % (14927)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.38  % (14921)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)
% 0.21/0.38  % (14922)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.38  % (14927)Instruction limit reached!
% 0.21/0.38  % (14927)------------------------------
% 0.21/0.38  % (14927)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38  % (14927)Termination reason: Unknown
% 0.21/0.38  % (14927)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (14927)Memory used [KB]: 1023
% 0.21/0.38  % (14927)Time elapsed: 0.005 s
% 0.21/0.38  % (14927)Instructions burned: 7 (million)
% 0.21/0.38  % (14927)------------------------------
% 0.21/0.38  % (14927)------------------------------
% 0.21/0.38  % Exception at run slice level
% 0.21/0.38  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.38  % (14925)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.39  % (14921)Instruction limit reached!
% 0.21/0.39  % (14921)------------------------------
% 0.21/0.39  % (14921)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39  % (14921)Termination reason: Unknown
% 0.21/0.39  % (14921)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (14921)Memory used [KB]: 5500
% 0.21/0.39  % (14921)Time elapsed: 0.005 s
% 0.21/0.39  % (14921)Instructions burned: 3 (million)
% 0.21/0.39  % (14921)------------------------------
% 0.21/0.39  % (14921)------------------------------
% 0.21/0.39  % (14926)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.39  % Exception at run slice level
% 0.21/0.39  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.39  % (14925)Instruction limit reached!
% 0.21/0.39  % (14925)------------------------------
% 0.21/0.39  % (14925)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39  % (14925)Termination reason: Unknown
% 0.21/0.39  % (14925)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (14925)Memory used [KB]: 5500
% 0.21/0.39  % (14925)Time elapsed: 0.005 s
% 0.21/0.39  % (14925)Instructions burned: 3 (million)
% 0.21/0.39  % (14925)------------------------------
% 0.21/0.39  % (14925)------------------------------
% 0.21/0.39  % (14932)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.39  % (14932)Instruction limit reached!
% 0.21/0.39  % (14932)------------------------------
% 0.21/0.39  % (14932)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39  % (14932)Termination reason: Unknown
% 0.21/0.39  % (14932)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (14932)Memory used [KB]: 5628
% 0.21/0.39  % (14932)Time elapsed: 0.008 s
% 0.21/0.39  % (14932)Instructions burned: 17 (million)
% 0.21/0.39  % (14932)------------------------------
% 0.21/0.39  % (14932)------------------------------
% 0.21/0.40  % (14935)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40  % (14936)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40  % (14936)Instruction limit reached!
% 0.21/0.40  % (14936)------------------------------
% 0.21/0.40  % (14936)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40  % (14936)Termination reason: Unknown
% 0.21/0.40  % (14936)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (14936)Memory used [KB]: 1023
% 0.21/0.40  % (14936)Time elapsed: 0.004 s
% 0.21/0.40  % (14936)Instructions burned: 3 (million)
% 0.21/0.40  % (14936)------------------------------
% 0.21/0.40  % (14936)------------------------------
% 0.21/0.40  % (14938)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.40  % (14935)Instruction limit reached!
% 0.21/0.40  % (14935)------------------------------
% 0.21/0.40  % (14935)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40  % (14935)Termination reason: Unknown
% 0.21/0.40  % (14935)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (14935)Memory used [KB]: 5500
% 0.21/0.40  % (14935)Time elapsed: 0.005 s
% 0.21/0.40  % (14935)Instructions burned: 3 (million)
% 0.21/0.40  % (14935)------------------------------
% 0.21/0.40  % (14935)------------------------------
% 0.21/0.40  % (14939)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40  % Exception at run slice level
% 0.21/0.40  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.40  % (14940)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.40  % (14944)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.41  % (14940)Instruction limit reached!
% 0.21/0.41  % (14940)------------------------------
% 0.21/0.41  % (14940)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41  % (14940)Termination reason: Unknown
% 0.21/0.41  % (14940)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (14940)Memory used [KB]: 5500
% 0.21/0.41  % (14940)Time elapsed: 0.005 s
% 0.21/0.41  % (14940)Instructions burned: 4 (million)
% 0.21/0.41  % (14940)------------------------------
% 0.21/0.41  % (14940)------------------------------
% 0.21/0.41  % (14938)Instruction limit reached!
% 0.21/0.41  % (14938)------------------------------
% 0.21/0.41  % (14938)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41  % (14938)Termination reason: Unknown
% 0.21/0.41  % (14938)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (14938)Memory used [KB]: 5500
% 0.21/0.41  % (14938)Time elapsed: 0.007 s
% 0.21/0.41  % (14938)Instructions burned: 7 (million)
% 0.21/0.41  % (14938)------------------------------
% 0.21/0.41  % (14938)------------------------------
% 0.21/0.41  % (14944)Instruction limit reached!
% 0.21/0.41  % (14944)------------------------------
% 0.21/0.41  % (14944)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41  % (14944)Termination reason: Unknown
% 0.21/0.41  % (14944)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (14944)Memory used [KB]: 5628
% 0.21/0.41  % (14944)Time elapsed: 0.008 s
% 0.21/0.41  % (14944)Instructions burned: 18 (million)
% 0.21/0.41  % (14944)------------------------------
% 0.21/0.41  % (14944)------------------------------
% 0.21/0.42  % (14947)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.42  % (14948)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.42  % (14949)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.42  % (14953)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.42  % Exception at run slice level
% 0.21/0.42  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.42  % (14949)Refutation not found, incomplete strategy
% 0.21/0.42  % (14949)------------------------------
% 0.21/0.42  % (14949)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42  % (14949)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42  
% 0.21/0.42  
% 0.21/0.42  % (14949)Memory used [KB]: 5500
% 0.21/0.42  % (14949)Time elapsed: 0.004 s
% 0.21/0.42  % (14949)Instructions burned: 2 (million)
% 0.21/0.42  % (14949)------------------------------
% 0.21/0.42  % (14949)------------------------------
% 0.21/0.42  % (14950)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.42  % (14951)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.42  % (14948)Instruction limit reached!
% 0.21/0.42  % (14948)------------------------------
% 0.21/0.42  % (14948)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42  % (14948)Termination reason: Unknown
% 0.21/0.42  % (14948)Termination phase: Saturation
% 0.21/0.42  
% 0.21/0.42  % (14948)Memory used [KB]: 5500
% 0.21/0.42  % (14948)Time elapsed: 0.007 s
% 0.21/0.42  % (14948)Instructions burned: 6 (million)
% 0.21/0.42  % (14948)------------------------------
% 0.21/0.42  % (14948)------------------------------
% 0.21/0.42  % Exception at run slice level
% 0.21/0.42  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.43  % (14960)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.44  % (14950)Instruction limit reached!
% 0.21/0.44  % (14950)------------------------------
% 0.21/0.44  % (14950)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44  % (14950)Termination reason: Unknown
% 0.21/0.44  % (14950)Termination phase: Saturation
% 0.21/0.44  
% 0.21/0.44  % (14950)Memory used [KB]: 5628
% 0.21/0.44  % (14950)Time elapsed: 0.018 s
% 0.21/0.44  % (14950)Instructions burned: 21 (million)
% 0.21/0.44  % (14950)------------------------------
% 0.21/0.44  % (14950)------------------------------
% 0.21/0.44  % (14961)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.21/0.44  % (14964)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.21/0.44  % (14963)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.21/0.44  % Exception at run slice level
% 0.21/0.44  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.44  % Exception at run slice level
% 0.21/0.44  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.45  % (14976)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.45  % (14977)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.45  % (14979)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.46  % (14977)Instruction limit reached!
% 0.21/0.46  % (14977)------------------------------
% 0.21/0.46  % (14977)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46  % (14977)Termination reason: Unknown
% 0.21/0.46  % (14977)Termination phase: Saturation
% 0.21/0.46  
% 0.21/0.46  % (14977)Memory used [KB]: 1023
% 0.21/0.46  % (14977)Time elapsed: 0.004 s
% 0.21/0.46  % (14977)Instructions burned: 3 (million)
% 0.21/0.46  % (14977)------------------------------
% 0.21/0.46  % (14977)------------------------------
% 0.21/0.47  % (14976)Instruction limit reached!
% 0.21/0.47  % (14976)------------------------------
% 0.21/0.47  % (14976)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47  % (14976)Termination reason: Unknown
% 0.21/0.47  % (14976)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (14976)Memory used [KB]: 5628
% 0.21/0.47  % (14976)Time elapsed: 0.015 s
% 0.21/0.47  % (14976)Instructions burned: 18 (million)
% 0.21/0.47  % (14976)------------------------------
% 0.21/0.47  % (14976)------------------------------
% 0.21/0.47  % (14993)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.21/0.47  % (14909)Instruction limit reached!
% 0.21/0.47  % (14909)------------------------------
% 0.21/0.47  % (14909)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47  % (14909)Termination reason: Unknown
% 0.21/0.47  % (14909)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (14909)Memory used [KB]: 6524
% 0.21/0.47  % (14909)Time elapsed: 0.110 s
% 0.21/0.47  % (14909)Instructions burned: 184 (million)
% 0.21/0.47  % (14909)------------------------------
% 0.21/0.47  % (14909)------------------------------
% 0.21/0.47  % (14979)Instruction limit reached!
% 0.21/0.47  % (14979)------------------------------
% 0.21/0.47  % (14979)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47  % (14979)Termination reason: Unknown
% 0.21/0.47  % (14979)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (14979)Memory used [KB]: 5628
% 0.21/0.47  % (14979)Time elapsed: 0.043 s
% 0.21/0.47  % (14979)Instructions burned: 30 (million)
% 0.21/0.47  % (14979)------------------------------
% 0.21/0.47  % (14979)------------------------------
% 0.21/0.48  % (15001)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.21/0.49  % (15005)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.49  % Exception at run slice level
% 0.21/0.49  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.49  % (15007)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.21/0.50  % (15007)Instruction limit reached!
% 0.21/0.50  % (15007)------------------------------
% 0.21/0.50  % (15007)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.50  % (15007)Termination reason: Unknown
% 0.21/0.50  % (15007)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (15007)Memory used [KB]: 5628
% 0.21/0.50  % (15007)Time elapsed: 0.015 s
% 0.21/0.50  % (15007)Instructions burned: 20 (million)
% 0.21/0.50  % (15007)------------------------------
% 0.21/0.50  % (15007)------------------------------
% 0.21/0.50  % (15020)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.21/0.52  % (15027)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.21/0.53  % (15001)Instruction limit reached!
% 0.21/0.53  % (15001)------------------------------
% 0.21/0.53  % (15001)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.53  % (15001)Termination reason: Unknown
% 0.21/0.53  % (15001)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (15001)Memory used [KB]: 5884
% 0.21/0.53  % (15001)Time elapsed: 0.047 s
% 0.21/0.53  % (15001)Instructions burned: 101 (million)
% 0.21/0.53  % (15001)------------------------------
% 0.21/0.53  % (15001)------------------------------
% 0.21/0.53  % (14993)Instruction limit reached!
% 0.21/0.53  % (14993)------------------------------
% 0.21/0.53  % (14993)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.53  % (14993)Termination reason: Unknown
% 0.21/0.53  % (14993)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (14993)Memory used [KB]: 6012
% 0.21/0.53  % (14993)Time elapsed: 0.085 s
% 0.21/0.53  % (14993)Instructions burned: 128 (million)
% 0.21/0.53  % (14993)------------------------------
% 0.21/0.53  % (14993)------------------------------
% 0.21/0.53  % (14960)Instruction limit reached!
% 0.21/0.53  % (14960)------------------------------
% 0.21/0.53  % (14960)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.53  % (14960)Termination reason: Unknown
% 0.21/0.53  % (14960)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (14960)Memory used [KB]: 5756
% 0.21/0.53  % (14960)Time elapsed: 0.108 s
% 0.21/0.53  % (14960)Instructions burned: 377 (million)
% 0.21/0.53  % (14960)------------------------------
% 0.21/0.53  % (14960)------------------------------
% 0.21/0.54  % (15039)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.21/0.54  % Exception at run slice level
% 0.21/0.54  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.54  % (15020)Instruction limit reached!
% 0.21/0.54  % (15020)------------------------------
% 0.21/0.54  % (15020)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.54  % (15020)Termination reason: Unknown
% 0.21/0.54  % (15020)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (15020)Memory used [KB]: 6012
% 0.21/0.54  % (15020)Time elapsed: 0.036 s
% 0.21/0.54  % (15020)Instructions burned: 88 (million)
% 0.21/0.54  % (15020)------------------------------
% 0.21/0.54  % (15020)------------------------------
% 0.21/0.54  % (15045)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 0.21/0.54  % Exception at run slice level
% 0.21/0.54  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.54  % (15046)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 0.21/0.54  % (15048)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 0.21/0.55  % Exception at run slice level
% 0.21/0.55  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.55/0.55  % (15052)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2998ds/149Mi)
% 1.55/0.55  % (14964)First to succeed.
% 1.55/0.56  % (14964)Refutation found. Thanks to Tanya!
% 1.55/0.56  % SZS status Theorem for theBenchmark
% 1.55/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.56  % (14964)------------------------------
% 1.55/0.56  % (14964)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.55/0.56  % (14964)Termination reason: Refutation
% 1.55/0.56  
% 1.55/0.56  % (14964)Memory used [KB]: 5884
% 1.55/0.56  % (14964)Time elapsed: 0.118 s
% 1.55/0.56  % (14964)Instructions burned: 250 (million)
% 1.55/0.56  % (14964)------------------------------
% 1.55/0.56  % (14964)------------------------------
% 1.55/0.56  % (14906)Success in time 0.206 s
%------------------------------------------------------------------------------