TSTP Solution File: PUZ083^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ083^1 : TPTP v8.2.0. Released v3.6.0.
% 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 : n015.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 02:28:29 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   30 (  14 unt;   2 typ;   0 def)
%            Number of atoms       :  135 (  31 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  122 (  24   ~;   7   |;   0   &;  68   @)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   4 usr;   5 con; 0-2 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   22 (   8   ^  13   !;   0   ?;  22   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(f40,plain,
    $false,
    inference(trivial_inequality_removal,[],[f39]) ).

thf(f39,plain,
    $false = $true,
    inference(duplicate_literal_removal,[],[f37]) ).

thf(f37,plain,
    ( ( $false = $true )
    | ( $false = $true ) ),
    inference(superposition,[],[f18,f34]) ).

thf(f34,plain,
    ( ( says @ peter @ $true )
    = $true ),
    inference(forward_demodulation,[],[f32,f33]) ).

thf(f33,plain,
    sK3 = $true,
    inference(not_proxy_clausification,[],[f31]) ).

thf(f31,plain,
    ( $false = ~ sK3 ),
    inference(binary_proxy_clausification,[],[f30]) ).

thf(f30,plain,
    ( $false
    = ( ( says @ peter @ sK3 )
     => ~ sK3 ) ),
    inference(beta_eta_normalization,[],[f29]) ).

thf(f29,plain,
    ( $false
    = ( ^ [Y0: $o] :
          ( ( says @ peter @ Y0 )
         => ~ Y0 )
      @ sK3 ) ),
    inference(sigma_clausification,[],[f28]) ).

thf(f28,plain,
    ( ( !! @ $o
      @ ^ [Y0: $o] :
          ( ( says @ peter @ Y0 )
         => ~ Y0 ) )
    = $false ),
    inference(trivial_inequality_removal,[],[f21]) ).

thf(f21,plain,
    ( ( ( !! @ $o
        @ ^ [Y0: $o] :
            ( ( says @ peter @ Y0 )
           => ~ Y0 ) )
      = $false )
    | ( $false = $true ) ),
    inference(superposition,[],[f11,f18]) ).

thf(f11,plain,
    ( ( says @ peter
      @ ( !! @ $o
        @ ^ [Y0: $o] :
            ( ( says @ peter @ Y0 )
           => ~ Y0 ) ) )
    = $true ),
    inference(cnf_transformation,[],[f8]) ).

thf(f8,plain,
    ( ( says @ peter
      @ ( !! @ $o
        @ ^ [Y0: $o] :
            ( ( says @ peter @ Y0 )
           => ~ Y0 ) ) )
    = $true ),
    inference(fool_elimination,[],[f7]) ).

thf(f7,plain,
    ( says @ peter
    @ ! [X0: $o] :
        ( ( says @ peter @ X0 )
       => ~ X0 ) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ( says @ peter
    @ ! [X0: $o] :
        ( ( says @ peter @ X0 )
       => ~ X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

thf(f32,plain,
    ( $true
    = ( says @ peter @ sK3 ) ),
    inference(binary_proxy_clausification,[],[f30]) ).

thf(f18,plain,
    ! [X1: $o] :
      ( ( $false
        = ( says @ peter @ X1 ) )
      | ( $false = X1 ) ),
    inference(not_proxy_clausification,[],[f17]) ).

thf(f17,plain,
    ! [X1: $o] :
      ( ( ~ X1 = $true )
      | ( $false
        = ( says @ peter @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f16]) ).

thf(f16,plain,
    ! [X1: $o] :
      ( ( ( says @ peter @ X1 )
       => ~ X1 )
      = $true ),
    inference(beta_eta_normalization,[],[f15]) ).

thf(f15,plain,
    ! [X1: $o] :
      ( ( ^ [Y0: $o] :
            ( ( says @ peter @ Y0 )
           => ~ Y0 )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f14]) ).

thf(f14,plain,
    ( ( !! @ $o
      @ ^ [Y0: $o] :
          ( ( says @ peter @ Y0 )
         => ~ Y0 ) )
    = $true ),
    inference(trivial_inequality_removal,[],[f13]) ).

thf(f13,plain,
    ( ( $true != $true )
    | ( ( !! @ $o
        @ ^ [Y0: $o] :
            ( ( says @ peter @ Y0 )
           => ~ Y0 ) )
      = $true ) ),
    inference(superposition,[],[f12,f11]) ).

thf(f12,plain,
    ! [X0: $o] :
      ( ( ( says @ peter @ X0 )
       != $true )
      | ( $true = X0 ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,plain,
    ! [X0: $o] :
      ( ( ( says @ peter @ X0 )
       != $true )
      | ( $true = X0 ) ),
    inference(ennf_transformation,[],[f9]) ).

thf(f9,plain,
    ! [X0: $o] :
      ( ( ( says @ peter @ X0 )
        = $true )
     => ( $true = X0 ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ~ ~ ! [X0: $o] :
          ( ( ( says @ peter @ X0 )
            = $true )
         => ( $true = X0 ) ),
    inference(fool_elimination,[],[f5]) ).

thf(f5,plain,
    ~ ~ ! [X0: $o] :
          ( ( says @ peter @ X0 )
         => X0 ),
    inference(rectify,[],[f3]) ).

thf(f3,negated_conjecture,
    ~ ~ ! [X0: $o] :
          ( ( says @ peter @ X0 )
         => X0 ),
    inference(negated_conjecture,[],[f2]) ).

thf(f2,conjecture,
    ~ ! [X0: $o] :
        ( ( says @ peter @ X0 )
       => X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ083^1 : TPTP v8.2.0. Released v3.6.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 10:59:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_NEQ_NAR problem
% 0.14/0.35  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
% 0.14/0.37  % (6863)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37  % (6861)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)
% 0.14/0.37  % (6864)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)
% 0.14/0.37  % (6865)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)
% 0.14/0.37  % (6866)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.37  % (6865)Refutation not found, incomplete strategy
% 0.14/0.37  % (6865)------------------------------
% 0.14/0.37  % (6865)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (6865)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  
% 0.14/0.37  % (6865)Memory used [KB]: 5373
% 0.14/0.37  % (6865)Time elapsed: 0.003 s
% 0.14/0.37  % (6865)Instructions burned: 1 (million)
% 0.14/0.37  % (6865)------------------------------
% 0.14/0.37  % (6865)------------------------------
% 0.14/0.38  % (6863)Instruction limit reached!
% 0.14/0.38  % (6863)------------------------------
% 0.14/0.38  % (6863)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (6864)Instruction limit reached!
% 0.14/0.38  % (6864)------------------------------
% 0.14/0.38  % (6864)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (6863)Termination reason: Unknown
% 0.14/0.38  % (6863)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (6863)Memory used [KB]: 5500
% 0.14/0.38  % (6863)Time elapsed: 0.004 s
% 0.14/0.38  % (6863)Instructions burned: 2 (million)
% 0.14/0.38  % (6863)------------------------------
% 0.14/0.38  % (6863)------------------------------
% 0.14/0.38  % (6864)Termination reason: Unknown
% 0.14/0.38  % (6864)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (6864)Memory used [KB]: 5500
% 0.14/0.38  % (6864)Time elapsed: 0.004 s
% 0.14/0.38  % (6864)Instructions burned: 3 (million)
% 0.14/0.38  % (6864)------------------------------
% 0.14/0.38  % (6864)------------------------------
% 0.14/0.38  % (6862)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)
% 0.14/0.38  % (6867)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)
% 0.14/0.38  % (6866)First to succeed.
% 0.14/0.38  % (6861)Instruction limit reached!
% 0.14/0.38  % (6861)------------------------------
% 0.14/0.38  % (6861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (6861)Termination reason: Unknown
% 0.14/0.38  % (6861)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (6861)Memory used [KB]: 5500
% 0.14/0.38  % (6861)Time elapsed: 0.006 s
% 0.14/0.38  % (6861)Instructions burned: 5 (million)
% 0.14/0.38  % (6861)------------------------------
% 0.14/0.38  % (6861)------------------------------
% 0.14/0.38  % (6866)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (6866)------------------------------
% 0.14/0.38  % (6866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (6866)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (6866)Memory used [KB]: 5500
% 0.14/0.38  % (6866)Time elapsed: 0.005 s
% 0.14/0.38  % (6866)Instructions burned: 2 (million)
% 0.14/0.38  % (6866)------------------------------
% 0.14/0.38  % (6866)------------------------------
% 0.14/0.38  % (6859)Success in time 0.006 s
% 0.14/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------