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

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ083^1 : TPTP v8.1.2. 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/sandbox2/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 : Sun May  5 08:49:08 EDT 2024

% Result   : Theorem 0.22s 0.38s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   30 (  14 unt;   2 typ;   0 def)
%            Number of atoms       :  133 (  31 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  120 (  24   ~;   7   |;   0   &;  66   @)
%                                         (   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(f44,plain,
    $false,
    inference(trivial_inequality_removal,[],[f43]) ).

thf(f43,plain,
    $false = $true,
    inference(superposition,[],[f27,f39]) ).

thf(f39,plain,
    $false = sK2,
    inference(trivial_inequality_removal,[],[f36]) ).

thf(f36,plain,
    ( ( $false = $true )
    | ( $false = sK2 ) ),
    inference(superposition,[],[f18,f26]) ).

thf(f26,plain,
    ( $true
    = ( says @ peter @ sK2 ) ),
    inference(binary_proxy_clausification,[],[f24]) ).

thf(f24,plain,
    ( $false
    = ( ( says @ peter @ sK2 )
     => ~ sK2 ) ),
    inference(beta_eta_normalization,[],[f23]) ).

thf(f23,plain,
    ( $false
    = ( ^ [Y0: $o] :
          ( ( says @ peter @ Y0 )
         => ~ Y0 )
      @ sK2 ) ),
    inference(sigma_clausification,[],[f22]) ).

thf(f22,plain,
    ( $false
    = ( !! @ $o
      @ ^ [Y0: $o] :
          ( ( says @ peter @ Y0 )
         => ~ Y0 ) ) ),
    inference(trivial_inequality_removal,[],[f19]) ).

thf(f19,plain,
    ( ( $false
      = ( !! @ $o
        @ ^ [Y0: $o] :
            ( ( says @ peter @ Y0 )
           => ~ Y0 ) ) )
    | ( $false = $true ) ),
    inference(superposition,[],[f18,f11]) ).

thf(f11,plain,
    ( $true
    = ( says @ peter
      @ ( !! @ $o
        @ ^ [Y0: $o] :
            ( ( says @ peter @ Y0 )
           => ~ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f6]) ).

thf(f6,plain,
    ( $true
    = ( says @ peter
      @ ( !! @ $o
        @ ^ [Y0: $o] :
            ( ( says @ peter @ Y0 )
           => ~ Y0 ) ) ) ),
    inference(fool_elimination,[],[f5]) ).

thf(f5,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/sandbox2/tmp/tmp.TfDfNEbdPd/Vampire---4.8_10406',ax1) ).

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

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

thf(f16,plain,
    ! [X1: $o] :
      ( $true
      = ( ( says @ peter @ X1 )
       => ~ X1 ) ),
    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,
    ( $true
    = ( !! @ $o
      @ ^ [Y0: $o] :
          ( ( says @ peter @ Y0 )
         => ~ Y0 ) ) ),
    inference(trivial_inequality_removal,[],[f13]) ).

thf(f13,plain,
    ( ( $true
      = ( !! @ $o
        @ ^ [Y0: $o] :
            ( ( says @ peter @ Y0 )
           => ~ Y0 ) ) )
    | ( $true != $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,[],[f8]) ).

thf(f8,plain,
    ~ ~ ! [X0: $o] :
          ( ( ( says @ peter @ X0 )
            = $true )
         => ( $true = X0 ) ),
    inference(fool_elimination,[],[f7]) ).

thf(f7,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/sandbox2/tmp/tmp.TfDfNEbdPd/Vampire---4.8_10406',thm) ).

thf(f27,plain,
    sK2 = $true,
    inference(not_proxy_clausification,[],[f25]) ).

thf(f25,plain,
    ( $false = ~ sK2 ),
    inference(binary_proxy_clausification,[],[f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PUZ083^1 : TPTP v8.1.2. Released v3.6.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 18:04:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36  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/sandbox2/tmp/tmp.TfDfNEbdPd/Vampire---4.8_10406
% 0.22/0.38  % (10577)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.22/0.38  % (10577)First to succeed.
% 0.22/0.38  % (10577)Refutation found. Thanks to Tanya!
% 0.22/0.38  % SZS status Theorem for Vampire---4
% 0.22/0.38  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.38  % (10577)------------------------------
% 0.22/0.38  % (10577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (10577)Termination reason: Refutation
% 0.22/0.38  
% 0.22/0.38  % (10577)Memory used [KB]: 5500
% 0.22/0.38  % (10577)Time elapsed: 0.005 s
% 0.22/0.38  % (10577)Instructions burned: 3 (million)
% 0.22/0.38  % (10577)------------------------------
% 0.22/0.38  % (10577)------------------------------
% 0.22/0.38  % (10576)Success in time 0.017 s
% 0.22/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------