TSTP Solution File: SEV012^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV012^5 : TPTP v8.1.2. Released v4.0.0.
% 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 : n002.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 09:41:01 EDT 2024

% Result   : Theorem 0.16s 0.33s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   42 (   7 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :   26 (   6   ~;   0   |;  12   &;   0   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :   38 (  28   ^  10   !;   0   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f9,plain,
    $false,
    inference(trivial_inequality_removal,[],[f8]) ).

thf(f8,plain,
    ( ( ^ [Y0: $o,Y1: $o] : $true )
   != ( ^ [Y0: $o,Y1: $o] : $true ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f7,plain,
    ( ( ^ [Y0: $o,Y1: $o] : $true )
   != ( ^ [Y0: $o,Y1: $o] : $true ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ( ( ^ [Y0: $o,Y1: $o] : $true )
   != ( ^ [Y0: $o,Y1: $o] : $true ) ),
    inference(true_and_false_elimination,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ( $true
          & $true )
       => $true )
      & ( ( ^ [Y0: $o,Y1: $o] : $true )
        = ( ^ [Y0: $o,Y1: $o] : $true ) )
      & ( $true
       => $true ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( ( $true
          & $true )
       => $true )
      & ( ( ^ [X3: $o,X4: $o] : $true )
        = ( ^ [X5: $o,X6: $o] : $true ) )
      & ( $true
       => $true ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ! [X2: $o,X0: $o,X1: $o] :
          ( ( $true
            & $true )
         => $true )
      & ( ( ^ [X0: $o,X1: $o] : $true )
        = ( ^ [X0: $o,X1: $o] : $true ) )
      & ! [X1: $o,X0: $o] :
          ( $true
         => $true ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ! [X2: $o,X0: $o,X1: $o] :
        ( ( $true
          & $true )
       => $true )
    & ( ( ^ [X0: $o,X1: $o] : $true )
      = ( ^ [X0: $o,X1: $o] : $true ) )
    & ! [X1: $o,X0: $o] :
        ( $true
       => $true ) ),
    file('/export/starexec/sandbox2/tmp/tmp.gDDOzsfa2V/Vampire---4.8_10332',cTHM519_pme) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SEV012^5 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11  % 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
% 0.10/0.31  % Computer : n002.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31  % CPULimit   : 300
% 0.16/0.31  % WCLimit    : 300
% 0.16/0.31  % DateTime   : Fri May  3 12:25:27 EDT 2024
% 0.16/0.31  % CPUTime    : 
% 0.16/0.31  This is a TH0_THM_EQU_NAR problem
% 0.16/0.32  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.gDDOzsfa2V/Vampire---4.8_10332
% 0.16/0.33  % (10444)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 (3000ds/2Mi)
% 0.16/0.33  % (10442)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 (3000ds/27Mi)
% 0.16/0.33  % (10440)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)
% 0.16/0.33  % (10446)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.16/0.33  % (10443)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.16/0.33  % (10440)First to succeed.
% 0.16/0.33  % (10441)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 (3000ds/4Mi)
% 0.16/0.33  % (10445)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 (3000ds/275Mi)
% 0.16/0.33  % (10446)Also succeeded, but the first one will report.
% 0.16/0.33  % (10447)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 (3000ds/3Mi)
% 0.16/0.33  % (10441)Also succeeded, but the first one will report.
% 0.16/0.33  % (10440)Refutation found. Thanks to Tanya!
% 0.16/0.33  % SZS status Theorem for Vampire---4
% 0.16/0.33  % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.33  % (10440)------------------------------
% 0.16/0.33  % (10440)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33  % (10440)Termination reason: Refutation
% 0.16/0.33  
% 0.16/0.33  % (10440)Memory used [KB]: 5373
% 0.16/0.33  % (10440)Time elapsed: 0.003 s
% 0.16/0.33  % (10440)Instructions burned: 1 (million)
% 0.16/0.33  % (10440)------------------------------
% 0.16/0.33  % (10440)------------------------------
% 0.16/0.33  % (10439)Success in time 0.013 s
% 0.16/0.33  % Vampire---4.8 exiting
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