TSTP Solution File: PUZ082^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ082^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 0.21s 0.39s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (  11 unt;   2 typ;   0 def)
%            Number of atoms       :   98 (  20 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  102 (  29   ~;   3   |;   0   &;  53   @)
%                                         (   0 <=>;  13  =>;   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)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   15 (   5   ^   9   !;   0   ?;  15   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(f22,plain,
    $false,
    inference(subsumption_resolution,[],[f21,f13]) ).

thf(f13,plain,
    ( $true
   != ( says @ peter @ $true ) ),
    inference(equality_resolution,[],[f11]) ).

thf(f11,plain,
    ! [X0: $o] :
      ( ( $true != X0 )
      | ( ( says @ peter @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,plain,
    ! [X0: $o] :
      ( ( $true != X0 )
      | ( ( says @ peter @ X0 )
       != $true ) ),
    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/tmp/tmp.xQOpxx7D9Q/Vampire---4.8_19498',thm) ).

thf(f21,plain,
    ( $true
    = ( says @ peter @ $true ) ),
    inference(forward_demodulation,[],[f19,f20]) ).

thf(f20,plain,
    sK2 = $true,
    inference(not_proxy_clausification,[],[f18]) ).

thf(f18,plain,
    ( ~ sK2 = $false ),
    inference(binary_proxy_clausification,[],[f17]) ).

thf(f17,plain,
    ( ( ( says @ peter @ sK2 )
     => ~ sK2 )
    = $false ),
    inference(beta_eta_normalization,[],[f16]) ).

thf(f16,plain,
    ( ( ^ [Y0: $o] :
          ( ( says @ peter @ Y0 )
         => ~ Y0 )
      @ sK2 )
    = $false ),
    inference(sigma_clausification,[],[f15]) ).

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

thf(f14,plain,
    ( ( $true != $true )
    | ( ( !! @ $o
        @ ^ [Y0: $o] :
            ( ( says @ peter @ Y0 )
           => ~ Y0 ) )
     != $true ) ),
    inference(constrained_superposition,[],[f13,f12]) ).

thf(f12,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/tmp/tmp.xQOpxx7D9Q/Vampire---4.8_19498',ax1) ).

thf(f19,plain,
    ( ( says @ peter @ sK2 )
    = $true ),
    inference(binary_proxy_clausification,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : PUZ082^1 : TPTP v8.1.2. Released v3.6.0.
% 0.14/0.15  % 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
% 0.15/0.36  % Computer : n019.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 18:02:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_NEQ_NAR problem
% 0.21/0.36  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/tmp/tmp.xQOpxx7D9Q/Vampire---4.8_19498
% 0.21/0.38  % (19771)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 Vampire---4 for (2999ds/27Mi)
% 0.21/0.38  % (19772)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.38  % (19774)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.21/0.38  % (19770)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 Vampire---4 for (2999ds/4Mi)
% 0.21/0.38  % (19769)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.21/0.38  % (19773)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.38  % (19775)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.38  % (19776)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.38  % (19774)Refutation not found, incomplete strategy
% 0.21/0.38  % (19774)------------------------------
% 0.21/0.38  % (19774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (19774)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38  
% 0.21/0.38  
% 0.21/0.38  % (19772)Instruction limit reached!
% 0.21/0.38  % (19772)------------------------------
% 0.21/0.38  % (19772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (19774)Memory used [KB]: 5373
% 0.21/0.38  % (19774)Time elapsed: 0.003 s
% 0.21/0.38  % (19774)Instructions burned: 1 (million)
% 0.21/0.38  % (19774)------------------------------
% 0.21/0.38  % (19774)------------------------------
% 0.21/0.38  % (19773)Instruction limit reached!
% 0.21/0.38  % (19773)------------------------------
% 0.21/0.38  % (19773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (19772)Termination reason: Unknown
% 0.21/0.38  % (19772)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (19772)Memory used [KB]: 5500
% 0.21/0.38  % (19772)Time elapsed: 0.004 s
% 0.21/0.38  % (19772)Instructions burned: 2 (million)
% 0.21/0.38  % (19772)------------------------------
% 0.21/0.38  % (19772)------------------------------
% 0.21/0.38  % (19773)Termination reason: Unknown
% 0.21/0.38  % (19773)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (19773)Memory used [KB]: 5500
% 0.21/0.38  % (19773)Time elapsed: 0.004 s
% 0.21/0.38  % (19771)Refutation not found, incomplete strategy
% 0.21/0.38  % (19771)------------------------------
% 0.21/0.38  % (19771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (19771)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38  
% 0.21/0.38  
% 0.21/0.38  % (19771)Memory used [KB]: 5500
% 0.21/0.38  % (19771)Time elapsed: 0.004 s
% 0.21/0.38  % (19771)Instructions burned: 2 (million)
% 0.21/0.38  % (19771)------------------------------
% 0.21/0.38  % (19771)------------------------------
% 0.21/0.38  % (19773)Instructions burned: 2 (million)
% 0.21/0.38  % (19773)------------------------------
% 0.21/0.38  % (19773)------------------------------
% 0.21/0.38  % (19775)First to succeed.
% 0.21/0.38  % (19776)Refutation not found, incomplete strategy
% 0.21/0.38  % (19776)------------------------------
% 0.21/0.38  % (19776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (19776)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38  
% 0.21/0.38  
% 0.21/0.38  % (19776)Memory used [KB]: 5500
% 0.21/0.38  % (19776)Time elapsed: 0.003 s
% 0.21/0.38  % (19776)Instructions burned: 1 (million)
% 0.21/0.38  % (19776)------------------------------
% 0.21/0.38  % (19776)------------------------------
% 0.21/0.39  % (19769)Also succeeded, but the first one will report.
% 0.21/0.39  % (19775)Refutation found. Thanks to Tanya!
% 0.21/0.39  % SZS status Theorem for Vampire---4
% 0.21/0.39  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.39  % (19775)------------------------------
% 0.21/0.39  % (19775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (19775)Termination reason: Refutation
% 0.21/0.39  
% 0.21/0.39  % (19775)Memory used [KB]: 5500
% 0.21/0.39  % (19775)Time elapsed: 0.004 s
% 0.21/0.39  % (19775)Instructions burned: 2 (million)
% 0.21/0.39  % (19775)------------------------------
% 0.21/0.39  % (19775)------------------------------
% 0.21/0.39  % (19766)Success in time 0.017 s
% 0.21/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------