TSTP Solution File: SYO017^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO017^1 : TPTP v8.2.0. Released v3.7.0.
% 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 : n018.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 09:02:14 EDT 2024

% Result   : Theorem 0.14s 0.40s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   58 (   6 unt;   2 typ;   0 def)
%            Number of atoms       :  376 (  75 equ;   0 cnn)
%            Maximal formula atoms :    5 (   6 avg)
%            Number of connectives :  261 (  91   ~;  90   |;   0   &;  74   @)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   8 con; 0-2 aty)
%            Number of variables   :    1 (   0   ^   0   !;   0   ?;   1   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

thf(func_def_6,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f142,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f26,f48,f51,f68,f71,f84,f137,f141]) ).

thf(f141,plain,
    ( spl0_7
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f103,f23,f10,f129]) ).

thf(f129,plain,
    ( spl0_7
  <=> ( ( h @ $true )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

thf(f10,plain,
    ( spl0_1
  <=> ( ( h
        @ ( ( h @ $true )
          = ( h @ $false ) ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f23,plain,
    ( spl0_4
  <=> ( ( h @ $false )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

thf(f103,plain,
    ( ( ( h @ $true )
      = $false )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(equality_proxy_clausification,[],[f102]) ).

thf(f102,plain,
    ( ( ( ( h @ $true )
        = $false )
     != $false )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f98]) ).

thf(f98,plain,
    ( ( ( ( h @ $true )
        = $false )
     != $false )
    | ( $false = $true )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f87,f25]) ).

thf(f25,plain,
    ( ( ( h @ $false )
      = $false )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f23]) ).

thf(f87,plain,
    ( ( ( h
        @ ( ( h @ $true )
          = $false ) )
      = $true )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f12,f25]) ).

thf(f12,plain,
    ( ( ( h
        @ ( ( h @ $true )
          = ( h @ $false ) ) )
      = $true )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f10]) ).

thf(f137,plain,
    ( ~ spl0_7
    | ~ spl0_1
    | ~ spl0_4
    | spl0_6 ),
    inference(avatar_split_clause,[],[f124,f43,f23,f10,f129]) ).

thf(f43,plain,
    ( spl0_6
  <=> ( ( h @ $true )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

thf(f124,plain,
    ( ( ( h @ $true )
     != $false )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_6 ),
    inference(equality_proxy_clausification,[],[f123]) ).

thf(f123,plain,
    ( ( ( ( h @ $true )
        = $false )
     != $true )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_6 ),
    inference(trivial_inequality_removal,[],[f100]) ).

thf(f100,plain,
    ( ( ( ( h @ $true )
        = $false )
     != $true )
    | ( $true != $true )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_6 ),
    inference(constrained_superposition,[],[f45,f87]) ).

thf(f45,plain,
    ( ( ( h @ $true )
     != $true )
    | spl0_6 ),
    inference(avatar_component_clause,[],[f43]) ).

thf(f84,plain,
    ( spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f83]) ).

thf(f83,plain,
    ( $false
    | spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f82]) ).

thf(f82,plain,
    ( ( $false = $true )
    | spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(equality_proxy_clausification,[],[f81]) ).

thf(f81,plain,
    ( ( ( $true = $false )
     != $false )
    | spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f80]) ).

thf(f80,plain,
    ( ( ( $true = $false )
     != $false )
    | ( $false != $false )
    | spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(constrained_superposition,[],[f73,f25]) ).

thf(f73,plain,
    ( ( ( h @ ( $true = $false ) )
     != $false )
    | spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f72,f25]) ).

thf(f72,plain,
    ( ( $false
     != ( h
        @ ( $true
          = ( h @ $false ) ) ) )
    | spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f20,f44]) ).

thf(f44,plain,
    ( ( ( h @ $true )
      = $true )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f43]) ).

thf(f20,plain,
    ( ( ( h
        @ ( ( h @ $true )
          = ( h @ $false ) ) )
     != $false )
    | spl0_3 ),
    inference(avatar_component_clause,[],[f19]) ).

thf(f19,plain,
    ( spl0_3
  <=> ( ( h
        @ ( ( h @ $true )
          = ( h @ $false ) ) )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

thf(f71,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f70]) ).

thf(f70,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f69]) ).

thf(f69,plain,
    ( ( $false = $true )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f16,f25]) ).

thf(f16,plain,
    ( ( ( h @ $false )
      = $true )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f14]) ).

thf(f14,plain,
    ( spl0_2
  <=> ( ( h @ $false )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

thf(f68,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f67]) ).

thf(f67,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f66,f44]) ).

thf(f66,plain,
    ( ( ( h @ $true )
     != $true )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(boolean_simplification,[],[f65]) ).

thf(f65,plain,
    ( ( ( h @ ( $true = $true ) )
     != $true )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f64,f16]) ).

thf(f64,plain,
    ( ( ( h
        @ ( $true
          = ( h @ $false ) ) )
     != $true )
    | spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f11,f44]) ).

thf(f11,plain,
    ( ( ( h
        @ ( ( h @ $true )
          = ( h @ $false ) ) )
     != $true )
    | spl0_1 ),
    inference(avatar_component_clause,[],[f10]) ).

thf(f51,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f50]) ).

thf(f50,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f49]) ).

thf(f49,plain,
    ( ( $false = $true )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f12,f21]) ).

thf(f21,plain,
    ( ( ( h
        @ ( ( h @ $true )
          = ( h @ $false ) ) )
      = $false )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f19]) ).

thf(f48,plain,
    ( spl0_6
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f33,f19,f14,f43]) ).

thf(f33,plain,
    ( ( ( h @ $true )
      = $true )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(equality_proxy_clausification,[],[f32]) ).

thf(f32,plain,
    ( ( ( ( h @ $true )
        = $true )
     != $false )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f31]) ).

thf(f31,plain,
    ( ( ( ( h @ $true )
        = $true )
     != $false )
    | ( $false = $true )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(constrained_superposition,[],[f16,f27]) ).

thf(f27,plain,
    ( ( $false
      = ( h
        @ ( ( h @ $true )
          = $true ) ) )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f21,f16]) ).

thf(f26,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f8,f23,f19]) ).

thf(f8,plain,
    ( ( ( h @ $false )
      = $false )
    | ( ( h
        @ ( ( h @ $true )
          = ( h @ $false ) ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f6]) ).

thf(f6,plain,
    ( ( h
      @ ( ( h @ $true )
        = ( h @ $false ) ) )
   != ( h @ $false ) ),
    inference(cnf_transformation,[],[f5]) ).

thf(f5,plain,
    ( ( h
      @ ( ( h @ $true )
        = ( h @ $false ) ) )
   != ( h @ $false ) ),
    inference(flattening,[],[f4]) ).

thf(f4,plain,
    ( ( h
      @ ( ( h @ $true )
        = ( h @ $false ) ) )
   != ( h @ $false ) ),
    inference(fool_elimination,[],[f2]) ).

thf(f2,negated_conjecture,
    ( ( h
      @ ( ( h @ $true )
        = ( h @ $false ) ) )
   != ( h @ $false ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( h
      @ ( ( h @ $true )
        = ( h @ $false ) ) )
    = ( h @ $false ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

thf(f17,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f7,f14,f10]) ).

thf(f7,plain,
    ( ( ( h
        @ ( ( h @ $true )
          = ( h @ $false ) ) )
      = $true )
    | ( ( h @ $false )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYO017^1 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.14  % 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
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 20 09:20:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TH0_THM_EQU_NAR problem
% 0.14/0.36  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
% 0.14/0.39  % (11528)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)
% 0.14/0.39  % (11529)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)
% 0.14/0.39  % (11528)Refutation not found, incomplete strategy
% 0.14/0.39  % (11528)------------------------------
% 0.14/0.39  % (11528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (11528)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  % (11528)Memory used [KB]: 5500
% 0.14/0.39  % (11528)Time elapsed: 0.005 s
% 0.14/0.39  % (11528)Instructions burned: 2 (million)
% 0.14/0.39  % (11528)------------------------------
% 0.14/0.39  % (11528)------------------------------
% 0.14/0.39  % (11533)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.39  % (11529)Refutation not found, incomplete strategy
% 0.14/0.39  % (11529)------------------------------
% 0.14/0.39  % (11529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (11529)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  % (11529)Memory used [KB]: 5500
% 0.14/0.39  % (11529)Time elapsed: 0.003 s
% 0.14/0.39  % (11529)Instructions burned: 1 (million)
% 0.14/0.39  % (11529)------------------------------
% 0.14/0.39  % (11529)------------------------------
% 0.14/0.39  % (11527)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39  % (11530)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39  % (11532)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.39  % (11531)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)
% 0.14/0.39  % (11534)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.39  % (11530)Instruction limit reached!
% 0.14/0.39  % (11530)------------------------------
% 0.14/0.39  % (11530)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (11530)Termination reason: Unknown
% 0.14/0.39  % (11530)Termination phase: Saturation
% 0.14/0.39  
% 0.14/0.39  % (11531)Instruction limit reached!
% 0.14/0.39  % (11531)------------------------------
% 0.14/0.39  % (11531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (11531)Termination reason: Unknown
% 0.14/0.39  % (11531)Termination phase: Saturation
% 0.14/0.39  
% 0.14/0.39  % (11531)Memory used [KB]: 5500
% 0.14/0.39  % (11531)Time elapsed: 0.004 s
% 0.14/0.39  % (11531)Instructions burned: 2 (million)
% 0.14/0.39  % (11531)------------------------------
% 0.14/0.39  % (11531)------------------------------
% 0.14/0.39  % (11530)Memory used [KB]: 5500
% 0.14/0.39  % (11530)Time elapsed: 0.004 s
% 0.14/0.39  % (11530)Instructions burned: 2 (million)
% 0.14/0.39  % (11530)------------------------------
% 0.14/0.39  % (11530)------------------------------
% 0.14/0.39  % (11532)Refutation not found, incomplete strategy
% 0.14/0.39  % (11532)------------------------------
% 0.14/0.39  % (11532)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (11532)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  % (11532)Memory used [KB]: 5500
% 0.14/0.39  % (11532)Time elapsed: 0.004 s
% 0.14/0.39  % (11532)Instructions burned: 1 (million)
% 0.14/0.39  % (11532)------------------------------
% 0.14/0.39  % (11532)------------------------------
% 0.14/0.40  % (11534)Refutation not found, incomplete strategy
% 0.14/0.40  % (11534)------------------------------
% 0.14/0.40  % (11534)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (11534)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  % (11534)Memory used [KB]: 5373
% 0.14/0.40  % (11534)Time elapsed: 0.004 s
% 0.14/0.40  % (11534)Instructions burned: 1 (million)
% 0.14/0.40  % (11534)------------------------------
% 0.14/0.40  % (11534)------------------------------
% 0.14/0.40  % (11533)First to succeed.
% 0.14/0.40  % (11533)Refutation found. Thanks to Tanya!
% 0.14/0.40  % SZS status Theorem for theBenchmark
% 0.14/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40  % (11533)------------------------------
% 0.14/0.40  % (11533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (11533)Termination reason: Refutation
% 0.14/0.40  
% 0.14/0.40  % (11533)Memory used [KB]: 5500
% 0.14/0.40  % (11533)Time elapsed: 0.011 s
% 0.14/0.40  % (11533)Instructions burned: 6 (million)
% 0.14/0.40  % (11533)------------------------------
% 0.14/0.40  % (11533)------------------------------
% 0.14/0.40  % (11526)Success in time 0.019 s
% 0.14/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------