TSTP Solution File: SYO559^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO559^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 09:06:13 EDT 2024

% Result   : Theorem 0.20s 0.39s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   44 (   9 unt;   3 typ;   0 def)
%            Number of atoms       :  216 (  42 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  184 (  39   ~;  41   |;   1   &;  90   @)
%                                         (   3 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   31 (  31   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   34 (   2   ^  25   !;   6   ?;  34   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

thf(f135,plain,
    $false,
    inference(avatar_sat_refutation,[],[f23,f28,f43,f134]) ).

thf(f134,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f133]) ).

thf(f133,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f106,f100]) ).

thf(f100,plain,
    ( ! [X1: $o] : ( $true != X1 )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f99]) ).

thf(f99,plain,
    ( ! [X1: $o] :
        ( ( $true != X1 )
        | ( $false = $true ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(beta_eta_normalization,[],[f86]) ).

thf(f86,plain,
    ( ! [X1: $o] :
        ( ( ( ^ [Y0: $o] : Y0
            @ X1 )
         != $true )
        | ( ( ^ [Y0: $o] : Y0
            @ $false )
          = $true ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(primitive_instantiation,[],[f76]) ).

thf(f76,plain,
    ( ! [X0: $o > $o,X1: $o] :
        ( ( ( X0 @ X1 )
         != $true )
        | ( ( X0 @ $false )
          = $true ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f15,f61]) ).

thf(f61,plain,
    ( ! [X0: $o > $o] :
        ( ( epso @ X0 )
        = $false )
    | spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f59]) ).

thf(f59,plain,
    ( ! [X0: $o > $o] :
        ( ( ( epso @ X0 )
          = $false )
        | ( $true != $true ) )
    | spl0_1
    | ~ spl0_4 ),
    inference(fool_paramodulation,[],[f52]) ).

thf(f52,plain,
    ( ! [X0: $o > $o] :
        ( ( epso @ X0 )
       != $true )
    | spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f50,f22]) ).

thf(f22,plain,
    ( ( ( epsoo @ epso @ $true )
     != $true )
    | spl0_1 ),
    inference(avatar_component_clause,[],[f20]) ).

thf(f20,plain,
    ( spl0_1
  <=> ( ( epsoo @ epso @ $true )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f50,plain,
    ( ! [X0: $o > $o] :
        ( ( ( epsoo @ epso @ $true )
          = $true )
        | ( ( epso @ X0 )
         != $true ) )
    | ~ spl0_4 ),
    inference(superposition,[],[f42,f18]) ).

thf(f18,plain,
    ! [X0: ( $o > $o ) > $o,X1: $o > $o] :
      ( ( ( X0 @ X1 )
       != $true )
      | ( ( X0 @ ( epsoo @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ! [X0: ( $o > $o ) > $o] :
      ( ! [X1: $o > $o] :
          ( ( X0 @ X1 )
         != $true )
      | ( ( X0 @ ( epsoo @ X0 ) )
        = $true ) ),
    inference(ennf_transformation,[],[f7]) ).

thf(f7,plain,
    ! [X0: ( $o > $o ) > $o] :
      ( ? [X1: $o > $o] :
          ( ( X0 @ X1 )
          = $true )
     => ( ( X0 @ ( epsoo @ X0 ) )
        = $true ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f6,plain,
    ! [X0: ( $o > $o ) > $o] :
      ( ? [X1: $o > $o] : ( X0 @ X1 )
     => ( X0 @ ( epsoo @ X0 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ! [X0: ( $o > $o ) > $o] :
      ( ? [X1: $o > $o] : ( X0 @ X1 )
     => ( X0 @ ( epsoo @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choiceaxoo) ).

thf(f42,plain,
    ( ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
      = $true )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f40]) ).

thf(f40,plain,
    ( spl0_4
  <=> ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

thf(f15,plain,
    ! [X0: $o > $o,X1: $o] :
      ( ( ( X0 @ ( epso @ X0 ) )
        = $true )
      | ( ( X0 @ X1 )
       != $true ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f12,plain,
    ! [X0: $o > $o] :
      ( ( ( X0 @ ( epso @ X0 ) )
        = $true )
      | ! [X1: $o] :
          ( ( X0 @ X1 )
         != $true ) ),
    inference(ennf_transformation,[],[f9]) ).

thf(f9,plain,
    ! [X0: $o > $o] :
      ( ? [X1: $o] :
          ( ( X0 @ X1 )
          = $true )
     => ( ( X0 @ ( epso @ X0 ) )
        = $true ) ),
    inference(fool_elimination,[],[f8]) ).

thf(f8,plain,
    ! [X0: $o > $o] :
      ( ? [X1: $o] : ( X0 @ X1 )
     => ( X0 @ ( epso @ X0 ) ) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ! [X0: $o > $o] :
      ( ? [X1: $o] : ( X0 @ X1 )
     => ( X0 @ ( epso @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choiceaxo) ).

thf(f106,plain,
    ( ! [X0: $o] :
        ( ( epsoo @ epso @ X0 )
        = $true )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f27,f84]) ).

thf(f84,plain,
    ( ! [X0: $o] : ( $false = X0 )
    | spl0_1
    | ~ spl0_4 ),
    inference(leibniz_equality_elimination,[],[f76]) ).

thf(f27,plain,
    ( ( ( epsoo @ epso @ $false )
      = $true )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f25]) ).

thf(f25,plain,
    ( spl0_2
  <=> ( ( epsoo @ epso @ $false )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

thf(f43,plain,
    ( spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f38,f25,f40]) ).

thf(f38,plain,
    ( ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
      = $true )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f37]) ).

thf(f37,plain,
    ( ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_2 ),
    inference(superposition,[],[f15,f27]) ).

thf(f28,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f16,f25]) ).

thf(f16,plain,
    ( ( epsoo @ epso @ $false )
    = $true ),
    inference(cnf_transformation,[],[f13]) ).

thf(f13,plain,
    ( ( ( epsoo @ epso @ $true )
     != $true )
    & ( ( epsoo @ epso @ $false )
      = $true ) ),
    inference(ennf_transformation,[],[f11]) ).

thf(f11,plain,
    ~ ( ( ( epsoo @ epso @ $false )
        = $true )
     => ( ( epsoo @ epso @ $true )
        = $true ) ),
    inference(fool_elimination,[],[f10]) ).

thf(f10,plain,
    ~ ( ( epsoo @ epso @ $false )
     => ( epsoo @ epso @ $true ) ),
    inference(rectify,[],[f4]) ).

thf(f4,negated_conjecture,
    ~ ( ( epsoo @ epso @ $false )
     => ( epsoo @ epso @ $true ) ),
    inference(negated_conjecture,[],[f3]) ).

thf(f3,conjecture,
    ( ( epsoo @ epso @ $false )
   => ( epsoo @ epso @ $true ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).

thf(f23,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f17,f20]) ).

thf(f17,plain,
    ( ( epsoo @ epso @ $true )
   != $true ),
    inference(cnf_transformation,[],[f13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYO559^1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 09:26:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_NEQ_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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  % (20302)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37  % (20301)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  % (20299)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  % (20300)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  % (20304)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  % (20305)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  % (20304)Refutation not found, incomplete strategy
% 0.13/0.37  % (20304)------------------------------
% 0.13/0.37  % (20304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (20304)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (20304)Memory used [KB]: 5500
% 0.13/0.37  % (20304)Time elapsed: 0.003 s
% 0.13/0.37  % (20304)Instructions burned: 1 (million)
% 0.13/0.37  % (20304)------------------------------
% 0.13/0.37  % (20304)------------------------------
% 0.13/0.37  % (20302)Instruction limit reached!
% 0.13/0.37  % (20302)------------------------------
% 0.13/0.37  % (20302)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (20302)Termination reason: Unknown
% 0.13/0.37  % (20302)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (20302)Memory used [KB]: 5500
% 0.13/0.37  % (20302)Time elapsed: 0.004 s
% 0.13/0.37  % (20302)Instructions burned: 2 (million)
% 0.13/0.37  % (20302)------------------------------
% 0.13/0.37  % (20302)------------------------------
% 0.13/0.37  % (20300)Instruction limit reached!
% 0.13/0.37  % (20300)------------------------------
% 0.13/0.37  % (20300)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (20300)Termination reason: Unknown
% 0.13/0.37  % (20300)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (20300)Memory used [KB]: 5500
% 0.13/0.37  % (20300)Time elapsed: 0.005 s
% 0.13/0.37  % (20300)Instructions burned: 4 (million)
% 0.13/0.37  % (20300)------------------------------
% 0.13/0.37  % (20300)------------------------------
% 0.13/0.37  % (20301)Refutation not found, incomplete strategy
% 0.13/0.37  % (20301)------------------------------
% 0.13/0.37  % (20301)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (20301)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (20301)Memory used [KB]: 5500
% 0.13/0.37  % (20301)Time elapsed: 0.005 s
% 0.13/0.37  % (20301)Instructions burned: 3 (million)
% 0.13/0.37  % (20301)------------------------------
% 0.13/0.37  % (20301)------------------------------
% 0.13/0.37  % (20303)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  % (20303)Instruction limit reached!
% 0.13/0.37  % (20303)------------------------------
% 0.13/0.37  % (20303)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (20303)Termination reason: Unknown
% 0.13/0.37  % (20303)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (20303)Memory used [KB]: 5500
% 0.13/0.37  % (20303)Time elapsed: 0.005 s
% 0.13/0.37  % (20303)Instructions burned: 2 (million)
% 0.13/0.37  % (20303)------------------------------
% 0.13/0.37  % (20303)------------------------------
% 0.20/0.38  % (20306)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)
% 0.20/0.38  % (20305)Instruction limit reached!
% 0.20/0.38  % (20305)------------------------------
% 0.20/0.38  % (20305)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38  % (20305)Termination reason: Unknown
% 0.20/0.38  % (20305)Termination phase: Saturation
% 0.20/0.38  
% 0.20/0.38  % (20305)Memory used [KB]: 5628
% 0.20/0.38  % (20305)Time elapsed: 0.015 s
% 0.20/0.38  % (20305)Instructions burned: 18 (million)
% 0.20/0.38  % (20305)------------------------------
% 0.20/0.38  % (20305)------------------------------
% 0.20/0.38  % (20306)Instruction limit reached!
% 0.20/0.38  % (20306)------------------------------
% 0.20/0.38  % (20306)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38  % (20306)Termination reason: Unknown
% 0.20/0.38  % (20306)Termination phase: Saturation
% 0.20/0.38  
% 0.20/0.38  % (20306)Memory used [KB]: 5500
% 0.20/0.38  % (20306)Time elapsed: 0.004 s
% 0.20/0.38  % (20306)Instructions burned: 3 (million)
% 0.20/0.38  % (20306)------------------------------
% 0.20/0.38  % (20306)------------------------------
% 0.20/0.38  % (20309)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)
% 0.20/0.38  % (20307)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)
% 0.20/0.38  % (20308)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)
% 0.20/0.38  % (20309)Instruction limit reached!
% 0.20/0.38  % (20309)------------------------------
% 0.20/0.38  % (20309)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38  % (20309)Termination reason: Unknown
% 0.20/0.38  % (20309)Termination phase: Saturation
% 0.20/0.38  
% 0.20/0.38  % (20309)Memory used [KB]: 5500
% 0.20/0.38  % (20309)Time elapsed: 0.004 s
% 0.20/0.38  % (20309)Instructions burned: 4 (million)
% 0.20/0.38  % (20309)------------------------------
% 0.20/0.38  % (20309)------------------------------
% 0.20/0.38  % (20310)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)
% 0.20/0.39  % (20311)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.39  % (20308)First to succeed.
% 0.20/0.39  % (20311)Refutation not found, incomplete strategy
% 0.20/0.39  % (20311)------------------------------
% 0.20/0.39  % (20311)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39  % (20311)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  % (20311)Memory used [KB]: 1023
% 0.20/0.39  % (20311)Time elapsed: 0.006 s
% 0.20/0.39  % (20311)Instructions burned: 6 (million)
% 0.20/0.39  % (20311)------------------------------
% 0.20/0.39  % (20311)------------------------------
% 0.20/0.39  % (20308)Refutation found. Thanks to Tanya!
% 0.20/0.39  % SZS status Theorem for theBenchmark
% 0.20/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39  % (20308)------------------------------
% 0.20/0.39  % (20308)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39  % (20308)Termination reason: Refutation
% 0.20/0.39  
% 0.20/0.39  % (20308)Memory used [KB]: 5500
% 0.20/0.39  % (20308)Time elapsed: 0.007 s
% 0.20/0.39  % (20308)Instructions burned: 5 (million)
% 0.20/0.39  % (20308)------------------------------
% 0.20/0.39  % (20308)------------------------------
% 0.20/0.39  % (20298)Success in time 0.045 s
% 0.20/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------