TSTP Solution File: SYO041^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO041^1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n025.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 09:02:24 EDT 2024

% Result   : Unsatisfiable 0.19s 0.43s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  162 (   8 unt;   3 typ;   0 def)
%            Number of atoms       : 1200 ( 174 equ;   0 cnn)
%            Maximal formula atoms :    8 (   7 avg)
%            Number of connectives : 1000 ( 307   ~; 392   |;   3   &; 283   @)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  20 usr;  19 con; 0-2 aty)
%            Number of variables   :    1 (   0   ^   0   !;   0   ?;   1   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_1,type,
    f: $o > $o ).

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

thf(func_def_9,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f2050,plain,
    $false,
    inference(avatar_sat_refutation,[],[f24,f33,f42,f51,f56,f61,f67,f351,f425,f452,f889,f919,f925,f941,f947,f949,f1184,f1191,f1204,f1267,f1987,f2049]) ).

thf(f2049,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_11
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2048]) ).

thf(f2048,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_11
    | spl0_20 ),
    inference(subsumption_resolution,[],[f2047,f569]) ).

thf(f569,plain,
    ( ( $true
     != ( f @ ( f @ ( g @ y ) ) ) )
    | spl0_11 ),
    inference(avatar_component_clause,[],[f568]) ).

thf(f568,plain,
    ( spl0_11
  <=> ( $true
      = ( f @ ( f @ ( g @ y ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

thf(f2047,plain,
    ( ( $true
      = ( f @ ( f @ ( g @ y ) ) ) )
    | ~ spl0_2
    | spl0_5
    | spl0_20 ),
    inference(subsumption_resolution,[],[f1950,f36]) ).

thf(f36,plain,
    ( ( ( g @ y )
     != $true )
    | spl0_5 ),
    inference(avatar_component_clause,[],[f35]) ).

thf(f35,plain,
    ( spl0_5
  <=> ( ( g @ y )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

thf(f1950,plain,
    ( ( ( g @ y )
      = $true )
    | ( $true
      = ( f @ ( f @ ( g @ y ) ) ) )
    | ~ spl0_2
    | spl0_20 ),
    inference(binary_proxy_clausification,[],[f1949]) ).

thf(f1949,plain,
    ( ( ( g @ y )
     != ( f @ ( f @ ( g @ y ) ) ) )
    | ~ spl0_2
    | spl0_20 ),
    inference(trivial_inequality_removal,[],[f1879]) ).

thf(f1879,plain,
    ( ( $false != $false )
    | ( ( g @ y )
     != ( f @ ( f @ ( g @ y ) ) ) )
    | ~ spl0_2
    | spl0_20 ),
    inference(constrained_superposition,[],[f917,f23]) ).

thf(f23,plain,
    ( ( ( f @ ( f @ ( f @ ( g @ y ) ) ) )
      = $false )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f21]) ).

thf(f21,plain,
    ( spl0_2
  <=> ( ( f @ ( f @ ( f @ ( g @ y ) ) ) )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

thf(f917,plain,
    ( ( $false
     != ( f @ ( g @ y ) ) )
    | spl0_20 ),
    inference(avatar_component_clause,[],[f916]) ).

thf(f916,plain,
    ( spl0_20
  <=> ( $false
      = ( f @ ( g @ y ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

thf(f1987,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1986]) ).

thf(f1986,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1912,f570]) ).

thf(f570,plain,
    ( ( $true
      = ( f @ ( f @ ( g @ y ) ) ) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f568]) ).

thf(f1912,plain,
    ( ( $true
     != ( f @ ( f @ ( g @ y ) ) ) )
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1888]) ).

thf(f1888,plain,
    ( ( $true = $false )
    | ( $true
     != ( f @ ( f @ ( g @ y ) ) ) )
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f1643,f23]) ).

thf(f1643,plain,
    ( ( $true
      = ( f @ $true ) )
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1642,f958]) ).

thf(f958,plain,
    ( ( $true
     != ( g @ $true ) )
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f36,f41]) ).

thf(f41,plain,
    ( ( y = $true )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f39]) ).

thf(f39,plain,
    ( spl0_6
  <=> ( y = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

thf(f1642,plain,
    ( ( $true
      = ( f @ $true ) )
    | ( $true
      = ( g @ $true ) )
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1637,f36]) ).

thf(f1637,plain,
    ( ( $true
      = ( f @ $true ) )
    | ( ( g @ y )
      = $true )
    | ( $true
      = ( g @ $true ) )
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(binary_proxy_clausification,[],[f1603]) ).

thf(f1603,plain,
    ( ( ( g @ y )
     != ( g @ $true ) )
    | ( $true
      = ( f @ $true ) )
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f570,f1359]) ).

thf(f1359,plain,
    ( ( $true
      = ( f @ ( g @ $true ) ) )
    | spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f1255,f41]) ).

thf(f1255,plain,
    ( ( $true
      = ( f @ ( g @ y ) ) )
    | spl0_1
    | spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1253,f36]) ).

thf(f1253,plain,
    ( ( $true
      = ( f @ ( g @ y ) ) )
    | ( ( g @ y )
      = $true )
    | spl0_1
    | ~ spl0_10 ),
    inference(binary_proxy_clausification,[],[f1252]) ).

thf(f1252,plain,
    ( ( ( g @ y )
     != ( f @ ( g @ y ) ) )
    | spl0_1
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1236]) ).

thf(f1236,plain,
    ( ( ( g @ y )
     != ( f @ ( g @ y ) ) )
    | ( $true != $true )
    | spl0_1
    | ~ spl0_10 ),
    inference(constrained_superposition,[],[f18,f60]) ).

thf(f60,plain,
    ( ( $true
      = ( g @ ( g @ y ) ) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f58]) ).

thf(f58,plain,
    ( spl0_10
  <=> ( $true
      = ( g @ ( g @ y ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

thf(f18,plain,
    ( ( ( g @ ( f @ ( g @ y ) ) )
     != $true )
    | spl0_1 ),
    inference(avatar_component_clause,[],[f17]) ).

thf(f17,plain,
    ( spl0_1
  <=> ( ( g @ ( f @ ( g @ y ) ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f1267,plain,
    ( ~ spl0_20
    | spl0_1
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1249,f58,f48,f17,f916]) ).

thf(f48,plain,
    ( spl0_8
  <=> ( ( g @ y )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

thf(f1249,plain,
    ( ( $false
     != ( f @ ( g @ y ) ) )
    | spl0_1
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1239]) ).

thf(f1239,plain,
    ( ( $false
     != ( f @ ( g @ y ) ) )
    | ( $true != $true )
    | spl0_1
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(constrained_superposition,[],[f18,f997]) ).

thf(f997,plain,
    ( ( ( g @ $false )
      = $true )
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f60,f50]) ).

thf(f50,plain,
    ( ( ( g @ y )
      = $false )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f48]) ).

thf(f1204,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | spl0_16
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1203]) ).

thf(f1203,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | spl0_16
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f1202,f918]) ).

thf(f918,plain,
    ( ( $false
      = ( f @ ( g @ y ) ) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f916]) ).

thf(f1202,plain,
    ( ( $false
     != ( f @ ( g @ y ) ) )
    | ~ spl0_4
    | ~ spl0_12
    | spl0_16 ),
    inference(subsumption_resolution,[],[f1198,f850]) ).

thf(f850,plain,
    ( ( $true
     != ( f @ $false ) )
    | spl0_16 ),
    inference(avatar_component_clause,[],[f849]) ).

thf(f849,plain,
    ( spl0_16
  <=> ( $true
      = ( f @ $false ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

thf(f1198,plain,
    ( ( $true
      = ( f @ $false ) )
    | ( $false
     != ( f @ ( g @ y ) ) )
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(constrained_superposition,[],[f32,f574]) ).

thf(f574,plain,
    ( ( $false
      = ( f @ $false ) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f572]) ).

thf(f572,plain,
    ( spl0_12
  <=> ( $false
      = ( f @ $false ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

thf(f32,plain,
    ( ( ( f @ ( f @ ( f @ ( g @ y ) ) ) )
      = $true )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f30]) ).

thf(f30,plain,
    ( spl0_4
  <=> ( ( f @ ( f @ ( f @ ( g @ y ) ) ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

thf(f1191,plain,
    ( spl0_12
    | spl0_7
    | ~ spl0_8
    | spl0_17 ),
    inference(avatar_split_clause,[],[f1188,f900,f48,f44,f572]) ).

thf(f44,plain,
    ( spl0_7
  <=> ( y = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

thf(f900,plain,
    ( spl0_17
  <=> ( ( g @ ( f @ $false ) )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

thf(f1188,plain,
    ( ( $false
      = ( f @ $false ) )
    | spl0_7
    | ~ spl0_8
    | spl0_17 ),
    inference(subsumption_resolution,[],[f1176,f45]) ).

thf(f45,plain,
    ( ( y != $false )
    | spl0_7 ),
    inference(avatar_component_clause,[],[f44]) ).

thf(f1176,plain,
    ( ( y = $false )
    | ( $false
      = ( f @ $false ) )
    | ~ spl0_8
    | spl0_17 ),
    inference(binary_proxy_clausification,[],[f1174]) ).

thf(f1174,plain,
    ( ( y
     != ( f @ $false ) )
    | ~ spl0_8
    | spl0_17 ),
    inference(trivial_inequality_removal,[],[f1169]) ).

thf(f1169,plain,
    ( ( y
     != ( f @ $false ) )
    | ( $false != $false )
    | ~ spl0_8
    | spl0_17 ),
    inference(constrained_superposition,[],[f902,f50]) ).

thf(f902,plain,
    ( ( ( g @ ( f @ $false ) )
     != $false )
    | spl0_17 ),
    inference(avatar_component_clause,[],[f900]) ).

thf(f1184,plain,
    ( ~ spl0_16
    | ~ spl0_6
    | ~ spl0_8
    | spl0_17 ),
    inference(avatar_split_clause,[],[f1179,f900,f48,f39,f849]) ).

thf(f1179,plain,
    ( ( $true
     != ( f @ $false ) )
    | ~ spl0_6
    | ~ spl0_8
    | spl0_17 ),
    inference(trivial_inequality_removal,[],[f1171]) ).

thf(f1171,plain,
    ( ( $false != $false )
    | ( $true
     != ( f @ $false ) )
    | ~ spl0_6
    | ~ spl0_8
    | spl0_17 ),
    inference(constrained_superposition,[],[f902,f956]) ).

thf(f956,plain,
    ( ( $false
      = ( g @ $true ) )
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f50,f41]) ).

thf(f949,plain,
    ( ~ spl0_17
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f929,f48,f26,f900]) ).

thf(f26,plain,
    ( spl0_3
  <=> ( ( g @ ( f @ ( g @ y ) ) )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

thf(f929,plain,
    ( ( ( g @ ( f @ $false ) )
     != $false )
    | spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f27,f50]) ).

thf(f27,plain,
    ( ( ( g @ ( f @ ( g @ y ) ) )
     != $false )
    | spl0_3 ),
    inference(avatar_component_clause,[],[f26]) ).

thf(f947,plain,
    ( spl0_20
    | spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f946,f48,f44,f26,f916]) ).

thf(f946,plain,
    ( ( $false
      = ( f @ ( g @ y ) ) )
    | spl0_3
    | spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f939,f45]) ).

thf(f939,plain,
    ( ( $false
      = ( f @ ( g @ y ) ) )
    | ( y = $false )
    | spl0_3
    | ~ spl0_8 ),
    inference(binary_proxy_clausification,[],[f937]) ).

thf(f937,plain,
    ( ( y
     != ( f @ ( g @ y ) ) )
    | spl0_3
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f930]) ).

thf(f930,plain,
    ( ( $false != $false )
    | ( y
     != ( f @ ( g @ y ) ) )
    | spl0_3
    | ~ spl0_8 ),
    inference(constrained_superposition,[],[f27,f50]) ).

thf(f941,plain,
    ( ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f940]) ).

thf(f940,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f932]) ).

thf(f932,plain,
    ( ( $true = $false )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f37,f50]) ).

thf(f37,plain,
    ( ( ( g @ y )
      = $true )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f35]) ).

thf(f925,plain,
    ( spl0_11
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f924,f53,f35,f30,f26,f568]) ).

thf(f53,plain,
    ( spl0_9
  <=> ( $false
      = ( g @ ( g @ y ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

thf(f924,plain,
    ( ( $true
      = ( f @ ( f @ ( g @ y ) ) ) )
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f923,f474]) ).

thf(f474,plain,
    ( ( $true
     != ( f @ ( g @ y ) ) )
    | spl0_3
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f463]) ).

thf(f463,plain,
    ( ( $false != $false )
    | ( $true
     != ( f @ ( g @ y ) ) )
    | spl0_3
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(constrained_superposition,[],[f27,f73]) ).

thf(f73,plain,
    ( ( $false
      = ( g @ $true ) )
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f55,f37]) ).

thf(f55,plain,
    ( ( $false
      = ( g @ ( g @ y ) ) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f53]) ).

thf(f923,plain,
    ( ( $true
      = ( f @ ( f @ ( g @ y ) ) ) )
    | ( $true
      = ( f @ ( g @ y ) ) )
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f785,f480]) ).

thf(f480,plain,
    ( ( $true
     != ( f @ $true ) )
    | spl0_3
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f37]) ).

thf(f785,plain,
    ( ( $true
      = ( f @ $true ) )
    | ( $true
      = ( f @ ( f @ ( g @ y ) ) ) )
    | ( $true
      = ( f @ ( g @ y ) ) )
    | ~ spl0_4 ),
    inference(binary_proxy_clausification,[],[f722]) ).

thf(f722,plain,
    ( ( ( f @ ( g @ y ) )
     != ( f @ ( f @ ( g @ y ) ) ) )
    | ( $true
      = ( f @ $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f32,f32]) ).

thf(f919,plain,
    ( spl0_20
    | spl0_8
    | spl0_3
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f466,f53,f26,f48,f916]) ).

thf(f466,plain,
    ( ( $false
      = ( f @ ( g @ y ) ) )
    | ( ( g @ y )
      = $false )
    | spl0_3
    | ~ spl0_9 ),
    inference(binary_proxy_clausification,[],[f464]) ).

thf(f464,plain,
    ( ( ( g @ y )
     != ( f @ ( g @ y ) ) )
    | spl0_3
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f460]) ).

thf(f460,plain,
    ( ( ( g @ y )
     != ( f @ ( g @ y ) ) )
    | ( $false != $false )
    | spl0_3
    | ~ spl0_9 ),
    inference(constrained_superposition,[],[f27,f55]) ).

thf(f889,plain,
    ( ~ spl0_11
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f768,f53,f48,f44,f35,f30,f26,f568]) ).

thf(f768,plain,
    ( ( $true
     != ( f @ ( f @ ( g @ y ) ) ) )
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f731]) ).

thf(f731,plain,
    ( ( $true = $false )
    | ( $true
     != ( f @ ( f @ ( g @ y ) ) ) )
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9 ),
    inference(constrained_superposition,[],[f32,f504]) ).

thf(f504,plain,
    ( ( $false
      = ( f @ $true ) )
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f501,f90]) ).

thf(f90,plain,
    ( ( ( g @ $false )
     != $false )
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f49,f46]) ).

thf(f46,plain,
    ( ( y = $false )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f44]) ).

thf(f49,plain,
    ( ( ( g @ y )
     != $false )
    | spl0_8 ),
    inference(avatar_component_clause,[],[f48]) ).

thf(f501,plain,
    ( ( $false
      = ( f @ $true ) )
    | ( ( g @ $false )
      = $false )
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(binary_proxy_clausification,[],[f499]) ).

thf(f499,plain,
    ( ( ( g @ $false )
     != ( f @ $true ) )
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f493]) ).

thf(f493,plain,
    ( ( ( g @ $false )
     != ( f @ $true ) )
    | ( $false != $false )
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(constrained_superposition,[],[f477,f70]) ).

thf(f70,plain,
    ( ( $false
      = ( g @ ( g @ $false ) ) )
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f55,f46]) ).

thf(f477,plain,
    ( ( $false
     != ( g @ ( f @ $true ) ) )
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f456,f46]) ).

thf(f456,plain,
    ( ( $false
     != ( g @ ( f @ $true ) ) )
    | ( y != $false )
    | spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(constrained_superposition,[],[f27,f69]) ).

thf(f69,plain,
    ( ( ( g @ $false )
      = $true )
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f37,f46]) ).

thf(f452,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f451]) ).

thf(f451,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f450,f182]) ).

thf(f182,plain,
    ( ( $false
     != ( f @ $true ) )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f142,f37]) ).

thf(f142,plain,
    ( ( $false
     != ( f @ ( g @ y ) ) )
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(trivial_inequality_removal,[],[f124]) ).

thf(f124,plain,
    ( ( $false
     != ( f @ ( g @ y ) ) )
    | ( $false != $false )
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(constrained_superposition,[],[f90,f28]) ).

thf(f28,plain,
    ( ( ( g @ ( f @ ( g @ y ) ) )
      = $false )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f26]) ).

thf(f450,plain,
    ( ( $false
      = ( f @ $true ) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f393,f142]) ).

thf(f393,plain,
    ( ( $false
      = ( f @ ( g @ y ) ) )
    | ( $false
      = ( f @ $true ) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(binary_proxy_clausification,[],[f391]) ).

thf(f391,plain,
    ( ( ( f @ ( g @ y ) )
     != ( f @ $true ) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f379]) ).

thf(f379,plain,
    ( ( ( f @ ( g @ y ) )
     != ( f @ $true ) )
    | ( $true = $false )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(constrained_superposition,[],[f143,f19]) ).

thf(f19,plain,
    ( ( ( g @ ( f @ ( g @ y ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f17]) ).

thf(f143,plain,
    ( ( $false
      = ( g @ ( f @ $true ) ) )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f116,f46]) ).

thf(f116,plain,
    ( ( y != $false )
    | ( $false
      = ( g @ ( f @ $true ) ) )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(constrained_superposition,[],[f28,f69]) ).

thf(f425,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f424]) ).

thf(f424,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f370]) ).

thf(f370,plain,
    ( ( $true = $false )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f28,f19]) ).

thf(f351,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f350]) ).

thf(f350,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f349,f90]) ).

thf(f349,plain,
    ( ( ( g @ $false )
      = $false )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f348,f142]) ).

thf(f348,plain,
    ( ( $false
      = ( f @ ( g @ y ) ) )
    | ( ( g @ $false )
      = $false )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f314,f182]) ).

thf(f314,plain,
    ( ( $false
      = ( f @ $true ) )
    | ( $false
      = ( f @ ( g @ y ) ) )
    | ( ( g @ $false )
      = $false )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7 ),
    inference(binary_proxy_clausification,[],[f283]) ).

thf(f283,plain,
    ( ( ( g @ $false )
     != ( f @ ( g @ y ) ) )
    | ( $false
      = ( f @ $true ) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7 ),
    inference(constrained_superposition,[],[f23,f223]) ).

thf(f223,plain,
    ( ( $true
      = ( f @ ( g @ $false ) ) )
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f144,f46]) ).

thf(f144,plain,
    ( ( $true
      = ( f @ ( g @ y ) ) )
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f140,f40]) ).

thf(f40,plain,
    ( ( y != $true )
    | spl0_6 ),
    inference(avatar_component_clause,[],[f39]) ).

thf(f140,plain,
    ( ( y = $true )
    | ( $true
      = ( f @ ( g @ y ) ) )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(binary_proxy_clausification,[],[f139]) ).

thf(f139,plain,
    ( ( y
     != ( f @ ( g @ y ) ) )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f120]) ).

thf(f120,plain,
    ( ( y
     != ( f @ ( g @ y ) ) )
    | ( $true = $false )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(constrained_superposition,[],[f37,f28]) ).

thf(f67,plain,
    ( ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f66]) ).

thf(f66,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f63]) ).

thf(f63,plain,
    ( ( $true = $false )
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f41,f46]) ).

thf(f61,plain,
    ( spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f11,f44,f58]) ).

thf(f11,plain,
    ( ( $true
      = ( g @ ( g @ y ) ) )
    | ( y = $false ) ),
    inference(binary_proxy_clausification,[],[f7]) ).

thf(f7,plain,
    ( y
    = ( g @ ( g @ y ) ) ),
    inference(definition_unfolding,[],[f6,f5]) ).

thf(f5,plain,
    ( x
    = ( g @ y ) ),
    inference(cnf_transformation,[],[f1]) ).

thf(f1,axiom,
    ( ( y
      = ( g @ x ) )
    & ( x
      = ( g @ y ) )
    & ( x != y )
    & ( ( f @ ( f @ ( f @ x ) ) )
      = ( g @ ( f @ x ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',3) ).

thf(f6,plain,
    ( y
    = ( g @ x ) ),
    inference(cnf_transformation,[],[f1]) ).

thf(f56,plain,
    ( spl0_6
    | spl0_9 ),
    inference(avatar_split_clause,[],[f10,f53,f39]) ).

thf(f10,plain,
    ( ( $false
      = ( g @ ( g @ y ) ) )
    | ( y = $true ) ),
    inference(binary_proxy_clausification,[],[f7]) ).

thf(f51,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f13,f48,f44]) ).

thf(f13,plain,
    ( ( ( g @ y )
      = $false )
    | ( y = $false ) ),
    inference(binary_proxy_clausification,[],[f8]) ).

thf(f8,plain,
    ( y
   != ( g @ y ) ),
    inference(definition_unfolding,[],[f4,f5]) ).

thf(f4,plain,
    x != y,
    inference(cnf_transformation,[],[f1]) ).

thf(f42,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f12,f39,f35]) ).

thf(f12,plain,
    ( ( y = $true )
    | ( ( g @ y )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f8]) ).

thf(f33,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f15,f30,f26]) ).

thf(f15,plain,
    ( ( ( f @ ( f @ ( f @ ( g @ y ) ) ) )
      = $true )
    | ( ( g @ ( f @ ( g @ y ) ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f9]) ).

thf(f9,plain,
    ( ( g @ ( f @ ( g @ y ) ) )
    = ( f @ ( f @ ( f @ ( g @ y ) ) ) ) ),
    inference(definition_unfolding,[],[f3,f5,f5]) ).

thf(f3,plain,
    ( ( f @ ( f @ ( f @ x ) ) )
    = ( g @ ( f @ x ) ) ),
    inference(cnf_transformation,[],[f1]) ).

thf(f24,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f14,f21,f17]) ).

thf(f14,plain,
    ( ( ( f @ ( f @ ( f @ ( g @ y ) ) ) )
      = $false )
    | ( ( g @ ( f @ ( g @ y ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYO041^1 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 10:05:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_UNS_EQU_NAR problem
% 0.13/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  % (2266)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)
% 0.13/0.37  % (2267)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.37  % (2268)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)
% 0.13/0.37  % (2262)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)
% 0.13/0.37  % (2266)Refutation not found, incomplete strategy
% 0.13/0.37  % (2266)------------------------------
% 0.13/0.37  % (2266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (2266)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (2266)Memory used [KB]: 5373
% 0.13/0.37  % (2266)Time elapsed: 0.001 s
% 0.13/0.37  % (2266)------------------------------
% 0.13/0.37  % (2266)------------------------------
% 0.13/0.37  % (2261)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.37  % (2264)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37  % (2263)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)
% 0.13/0.37  % (2264)Instruction limit reached!
% 0.13/0.37  % (2264)------------------------------
% 0.13/0.37  % (2264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (2264)Termination reason: Unknown
% 0.13/0.37  % (2264)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (2264)Memory used [KB]: 5373
% 0.13/0.37  % (2264)Time elapsed: 0.003 s
% 0.13/0.37  % (2264)Instructions burned: 2 (million)
% 0.13/0.37  % (2264)------------------------------
% 0.13/0.37  % (2264)------------------------------
% 0.13/0.37  % (2265)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)
% 0.13/0.37  % (2268)Instruction limit reached!
% 0.13/0.37  % (2268)------------------------------
% 0.13/0.37  % (2268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (2268)Termination reason: Unknown
% 0.13/0.37  % (2268)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (2268)Memory used [KB]: 5500
% 0.13/0.37  % (2268)Time elapsed: 0.004 s
% 0.13/0.37  % (2268)Instructions burned: 3 (million)
% 0.13/0.37  % (2268)------------------------------
% 0.13/0.37  % (2268)------------------------------
% 0.13/0.37  % (2265)Instruction limit reached!
% 0.13/0.37  % (2265)------------------------------
% 0.13/0.37  % (2265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (2265)Termination reason: Unknown
% 0.13/0.37  % (2265)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (2265)Memory used [KB]: 895
% 0.13/0.37  % (2265)Time elapsed: 0.003 s
% 0.13/0.37  % (2265)Instructions burned: 2 (million)
% 0.13/0.37  % (2265)------------------------------
% 0.13/0.37  % (2265)------------------------------
% 0.13/0.37  % (2262)Instruction limit reached!
% 0.13/0.37  % (2262)------------------------------
% 0.13/0.37  % (2262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (2263)Refutation not found, incomplete strategy
% 0.13/0.37  % (2263)------------------------------
% 0.13/0.37  % (2263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (2263)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (2263)Memory used [KB]: 5500
% 0.13/0.37  % (2263)Time elapsed: 0.004 s
% 0.13/0.37  % (2263)Instructions burned: 2 (million)
% 0.13/0.37  % (2263)------------------------------
% 0.13/0.37  % (2263)------------------------------
% 0.13/0.37  % (2262)Termination reason: Unknown
% 0.13/0.37  % (2262)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (2262)Memory used [KB]: 5500
% 0.13/0.37  % (2262)Time elapsed: 0.005 s
% 0.13/0.37  % (2262)Instructions burned: 4 (million)
% 0.13/0.37  % (2262)------------------------------
% 0.13/0.37  % (2262)------------------------------
% 0.13/0.38  % (2267)Refutation not found, incomplete strategy
% 0.13/0.38  % (2267)------------------------------
% 0.13/0.38  % (2267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (2267)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  % (2267)Memory used [KB]: 5628
% 0.13/0.38  % (2267)Time elapsed: 0.011 s
% 0.13/0.38  % (2267)Instructions burned: 13 (million)
% 0.13/0.38  % (2267)------------------------------
% 0.13/0.38  % (2267)------------------------------
% 0.13/0.38  % (2271)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)
% 0.13/0.38  % (2270)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)
% 0.13/0.38  % (2271)Refutation not found, incomplete strategy
% 0.13/0.38  % (2271)------------------------------
% 0.13/0.38  % (2271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (2271)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  % (2271)Memory used [KB]: 5500
% 0.13/0.38  % (2271)Time elapsed: 0.003 s
% 0.13/0.38  % (2271)Instructions burned: 1 (million)
% 0.13/0.38  % (2271)------------------------------
% 0.13/0.38  % (2271)------------------------------
% 0.13/0.38  % (2269)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)
% 0.13/0.38  % (2270)Refutation not found, incomplete strategy
% 0.13/0.38  % (2270)------------------------------
% 0.13/0.38  % (2270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (2270)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  % (2270)Memory used [KB]: 5373
% 0.13/0.38  % (2270)Time elapsed: 0.002 s
% 0.13/0.38  % (2270)Instructions burned: 1 (million)
% 0.13/0.38  % (2270)------------------------------
% 0.13/0.38  % (2270)------------------------------
% 0.13/0.39  % (2272)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)
% 0.13/0.39  % (2274)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.39  % (2275)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)
% 0.13/0.39  % (2275)Refutation not found, incomplete strategy
% 0.13/0.39  % (2275)------------------------------
% 0.13/0.39  % (2275)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (2275)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  % (2275)Memory used [KB]: 5500
% 0.13/0.39  % (2275)Time elapsed: 0.002 s
% 0.13/0.39  % (2275)Instructions burned: 1 (million)
% 0.13/0.39  % (2275)------------------------------
% 0.13/0.39  % (2275)------------------------------
% 0.13/0.39  % (2272)Refutation not found, incomplete strategy
% 0.13/0.39  % (2272)------------------------------
% 0.13/0.39  % (2272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (2272)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  % (2272)Memory used [KB]: 5500
% 0.13/0.39  % (2272)Time elapsed: 0.030 s
% 0.13/0.39  % (2272)Instructions burned: 9 (million)
% 0.13/0.39  % (2272)------------------------------
% 0.13/0.39  % (2272)------------------------------
% 0.13/0.39  % (2274)Instruction limit reached!
% 0.13/0.39  % (2274)------------------------------
% 0.13/0.39  % (2274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (2274)Termination reason: Unknown
% 0.13/0.39  % (2274)Termination phase: Saturation
% 0.13/0.39  
% 0.13/0.39  % (2274)Memory used [KB]: 5500
% 0.13/0.39  % (2274)Time elapsed: 0.011 s
% 0.13/0.39  % (2274)Instructions burned: 16 (million)
% 0.13/0.39  % (2274)------------------------------
% 0.13/0.39  % (2274)------------------------------
% 0.13/0.40  % (2276)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)
% 0.13/0.40  % (2277)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)
% 0.13/0.40  % (2276)Instruction limit reached!
% 0.13/0.40  % (2276)------------------------------
% 0.13/0.40  % (2276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (2276)Termination reason: Unknown
% 0.13/0.40  % (2276)Termination phase: Saturation
% 0.13/0.40  
% 0.13/0.40  % (2276)Memory used [KB]: 1023
% 0.13/0.40  % (2276)Time elapsed: 0.003 s
% 0.13/0.40  % (2276)Instructions burned: 3 (million)
% 0.13/0.40  % (2276)------------------------------
% 0.13/0.40  % (2276)------------------------------
% 0.13/0.40  % (2273)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.40  % (2277)Instruction limit reached!
% 0.13/0.40  % (2277)------------------------------
% 0.13/0.40  % (2277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (2277)Termination reason: Unknown
% 0.13/0.40  % (2277)Termination phase: Saturation
% 0.13/0.40  
% 0.13/0.40  % (2277)Memory used [KB]: 5500
% 0.13/0.40  % (2277)Time elapsed: 0.006 s
% 0.13/0.40  % (2277)Instructions burned: 8 (million)
% 0.13/0.40  % (2277)------------------------------
% 0.13/0.40  % (2277)------------------------------
% 0.13/0.41  % (2273)Instruction limit reached!
% 0.13/0.41  % (2273)------------------------------
% 0.13/0.41  % (2273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41  % (2273)Termination reason: Unknown
% 0.13/0.41  % (2273)Termination phase: Saturation
% 0.13/0.41  
% 0.13/0.41  % (2273)Memory used [KB]: 1023
% 0.13/0.41  % (2273)Time elapsed: 0.038 s
% 0.13/0.41  % (2273)Instructions burned: 7 (million)
% 0.13/0.41  % (2273)------------------------------
% 0.13/0.41  % (2273)------------------------------
% 0.13/0.41  % (2279)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.41  % (2280)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)
% 0.13/0.41  % (2278)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)
% 0.13/0.41  % (2279)Instruction limit reached!
% 0.13/0.41  % (2279)------------------------------
% 0.13/0.41  % (2279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41  % (2279)Termination reason: Unknown
% 0.13/0.41  % (2279)Termination phase: Saturation
% 0.13/0.41  
% 0.13/0.41  % (2279)Memory used [KB]: 5500
% 0.13/0.41  % (2279)Time elapsed: 0.004 s
% 0.13/0.41  % (2279)Instructions burned: 4 (million)
% 0.13/0.41  % (2279)------------------------------
% 0.13/0.41  % (2279)------------------------------
% 0.19/0.41  % (2278)Instruction limit reached!
% 0.19/0.41  % (2278)------------------------------
% 0.19/0.41  % (2278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (2278)Termination reason: Unknown
% 0.19/0.41  % (2278)Termination phase: Saturation
% 0.19/0.41  
% 0.19/0.41  % (2280)Refutation not found, incomplete strategy
% 0.19/0.41  % (2280)------------------------------
% 0.19/0.41  % (2280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (2278)Memory used [KB]: 5500
% 0.19/0.41  % (2278)Time elapsed: 0.004 s
% 0.19/0.41  % (2278)Instructions burned: 3 (million)
% 0.19/0.41  % (2278)------------------------------
% 0.19/0.41  % (2278)------------------------------
% 0.19/0.41  % (2280)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  % (2280)Memory used [KB]: 5500
% 0.19/0.41  % (2280)Time elapsed: 0.005 s
% 0.19/0.41  % (2280)Instructions burned: 6 (million)
% 0.19/0.41  % (2280)------------------------------
% 0.19/0.41  % (2280)------------------------------
% 0.19/0.41  % (2269)Instruction limit reached!
% 0.19/0.41  % (2269)------------------------------
% 0.19/0.41  % (2269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (2269)Termination reason: Unknown
% 0.19/0.41  % (2269)Termination phase: Saturation
% 0.19/0.41  
% 0.19/0.41  % (2269)Memory used [KB]: 5756
% 0.19/0.41  % (2269)Time elapsed: 0.047 s
% 0.19/0.41  % (2269)Instructions burned: 38 (million)
% 0.19/0.41  % (2269)------------------------------
% 0.19/0.41  % (2269)------------------------------
% 0.19/0.41  % (2281)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.19/0.41  % (2281)Refutation not found, incomplete strategy
% 0.19/0.41  % (2281)------------------------------
% 0.19/0.41  % (2281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (2281)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  % (2281)Memory used [KB]: 5373
% 0.19/0.41  % (2281)Time elapsed: 0.002 s
% 0.19/0.41  % (2281)Instructions burned: 1 (million)
% 0.19/0.41  % (2281)------------------------------
% 0.19/0.41  % (2281)------------------------------
% 0.19/0.42  % (2282)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.42  % (2283)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)
% 0.19/0.42  % (2283)Refutation not found, incomplete strategy
% 0.19/0.42  % (2283)------------------------------
% 0.19/0.42  % (2283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (2283)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.42  
% 0.19/0.42  
% 0.19/0.42  % (2283)Memory used [KB]: 5373
% 0.19/0.42  % (2283)Time elapsed: 0.002 s
% 0.19/0.42  % (2283)Instructions burned: 1 (million)
% 0.19/0.42  % (2283)------------------------------
% 0.19/0.42  % (2283)------------------------------
% 0.19/0.42  % (2282)Instruction limit reached!
% 0.19/0.42  % (2282)------------------------------
% 0.19/0.42  % (2282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (2282)Termination reason: Unknown
% 0.19/0.42  % (2282)Termination phase: Saturation
% 0.19/0.42  
% 0.19/0.42  % (2282)Memory used [KB]: 5500
% 0.19/0.42  % (2282)Time elapsed: 0.006 s
% 0.19/0.42  % (2282)Instructions burned: 6 (million)
% 0.19/0.42  % (2282)------------------------------
% 0.19/0.42  % (2282)------------------------------
% 0.19/0.42  % (2284)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)
% 0.19/0.42  % (2284)Refutation not found, incomplete strategy
% 0.19/0.42  % (2284)------------------------------
% 0.19/0.42  % (2284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (2284)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.42  
% 0.19/0.42  
% 0.19/0.42  % (2284)Memory used [KB]: 5373
% 0.19/0.42  % (2284)Time elapsed: 0.002 s
% 0.19/0.42  % (2284)Instructions burned: 1 (million)
% 0.19/0.42  % (2284)------------------------------
% 0.19/0.42  % (2284)------------------------------
% 0.19/0.42  % (2261)First to succeed.
% 0.19/0.43  % (2285)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.43  % (2287)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.19/0.43  % (2285)Instruction limit reached!
% 0.19/0.43  % (2285)------------------------------
% 0.19/0.43  % (2285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43  % (2261)Refutation found. Thanks to Tanya!
% 0.19/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.43  % (2261)------------------------------
% 0.19/0.43  % (2261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43  % (2261)Termination reason: Refutation
% 0.19/0.43  
% 0.19/0.43  % (2261)Memory used [KB]: 6268
% 0.19/0.43  % (2261)Time elapsed: 0.062 s
% 0.19/0.43  % (2261)Instructions burned: 87 (million)
% 0.19/0.43  % (2261)------------------------------
% 0.19/0.43  % (2261)------------------------------
% 0.19/0.43  % (2260)Success in time 0.073 s
% 0.19/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------