TSTP Solution File: SET590^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET590^5 : TPTP v8.2.0. 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 : n006.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 03:12:14 EDT 2024

% Result   : Theorem 0.17s 0.34s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (   3 unt;   5 typ;   0 def)
%            Number of atoms       :   61 (  26 equ;   0 cnn)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :   80 (  22   ~;   0   |;  17   &;  35   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^  15   !;  12   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    a: $tType ).

thf(func_def_0,type,
    a: $tType ).

thf(func_def_4,type,
    sK0: a > $o ).

thf(func_def_5,type,
    sK1: a ).

thf(func_def_6,type,
    sK2: a > $o ).

thf(f15,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f14]) ).

thf(f14,plain,
    ( $true
   != ( sK2 @ sK1 ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f11,plain,
    ( ( $true
     != ( sK2 @ sK1 ) )
    & ( ( sK0 @ sK1 )
     != $true )
    & ( $true
      = ( sK2 @ sK1 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f10]) ).

thf(f10,plain,
    ( ? [X0: a > $o,X1: a,X2: a > $o] :
        ( ( ( X2 @ X1 )
         != $true )
        & ( $true
         != ( X0 @ X1 ) )
        & ( ( X2 @ X1 )
          = $true ) )
   => ( ( $true
       != ( sK2 @ sK1 ) )
      & ( ( sK0 @ sK1 )
       != $true )
      & ( $true
        = ( sK2 @ sK1 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f9,plain,
    ? [X0: a > $o,X1: a,X2: a > $o] :
      ( ( ( X2 @ X1 )
       != $true )
      & ( $true
       != ( X0 @ X1 ) )
      & ( ( X2 @ X1 )
        = $true ) ),
    inference(rectify,[],[f8]) ).

thf(f8,plain,
    ? [X2: a > $o,X0: a,X1: a > $o] :
      ( ( ( X1 @ X0 )
       != $true )
      & ( $true
       != ( X2 @ X0 ) )
      & ( ( X1 @ X0 )
        = $true ) ),
    inference(flattening,[],[f7]) ).

thf(f7,plain,
    ? [X2: a > $o,X1: a > $o,X0: a] :
      ( ( ( X1 @ X0 )
       != $true )
      & ( $true
       != ( X2 @ X0 ) )
      & ( ( X1 @ X0 )
        = $true ) ),
    inference(ennf_transformation,[],[f6]) ).

thf(f6,plain,
    ~ ! [X2: a > $o,X1: a > $o,X0: a] :
        ( ( ( $true
           != ( X2 @ X0 ) )
          & ( ( X1 @ X0 )
            = $true ) )
       => ( ( X1 @ X0 )
          = $true ) ),
    inference(flattening,[],[f5]) ).

thf(f5,plain,
    ~ ! [X0: a,X1: a > $o,X2: a > $o] :
        ( ( ( $true
           != ( X2 @ X0 ) )
          & ( ( X1 @ X0 )
            = $true ) )
       => ( ( X1 @ X0 )
          = $true ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ! [X0: a,X1: a > $o,X2: a > $o] :
        ( ( ~ ( X2 @ X0 )
          & ( X1 @ X0 ) )
       => ( X1 @ X0 ) ),
    inference(rectify,[],[f2]) ).

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

thf(f1,conjecture,
    ! [X2: a,X0: a > $o,X1: a > $o] :
      ( ( ~ ( X1 @ X2 )
        & ( X0 @ X2 ) )
     => ( X0 @ X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_49_pme) ).

thf(f12,plain,
    ( $true
    = ( sK2 @ sK1 ) ),
    inference(cnf_transformation,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET590^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.11  % 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
% 0.11/0.31  % Computer : n006.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon May 20 11:59:38 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a TH0_THM_NEQ_NAR problem
% 0.11/0.32  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/benchmark/theBenchmark.p
% 0.17/0.33  % (11480)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)
% 0.17/0.33  % (11480)First to succeed.
% 0.17/0.33  % (11481)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)
% 0.17/0.33  % (11484)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)
% 0.17/0.33  % (11483)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)
% 0.17/0.33  % (11479)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.17/0.33  % (11482)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.33  % (11485)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.17/0.33  % (11484)Also succeeded, but the first one will report.
% 0.17/0.34  % (11483)Instruction limit reached!
% 0.17/0.34  % (11483)------------------------------
% 0.17/0.34  % (11483)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.34  % (11483)Termination reason: Unknown
% 0.17/0.34  % (11483)Termination phase: Saturation
% 0.17/0.34  
% 0.17/0.34  % (11483)Memory used [KB]: 5500
% 0.17/0.34  % (11483)Time elapsed: 0.003 s
% 0.17/0.34  % (11483)Instructions burned: 2 (million)
% 0.17/0.34  % (11483)------------------------------
% 0.17/0.34  % (11483)------------------------------
% 0.17/0.34  % (11479)Also succeeded, but the first one will report.
% 0.17/0.34  % (11480)Refutation found. Thanks to Tanya!
% 0.17/0.34  % SZS status Theorem for theBenchmark
% 0.17/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.34  % (11480)------------------------------
% 0.17/0.34  % (11480)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.34  % (11480)Termination reason: Refutation
% 0.17/0.34  
% 0.17/0.34  % (11480)Memory used [KB]: 5373
% 0.17/0.34  % (11480)Time elapsed: 0.003 s
% 0.17/0.34  % (11480)Instructions burned: 1 (million)
% 0.17/0.34  % (11480)------------------------------
% 0.17/0.34  % (11480)------------------------------
% 0.17/0.34  % (11478)Success in time 0.004 s
% 0.17/0.34  % Vampire---4.8 exiting
%------------------------------------------------------------------------------