TSTP Solution File: SYO290^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO290^5 : 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 : n027.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 09:03:49 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (   3 unt;   5 typ;   0 def)
%            Number of atoms       :   31 (   8 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :   59 (  11   ~;   5   |;   1   &;  42   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  14   ^   0   !;   0   ?;  14   :)

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

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

thf(func_def_1,type,
    g2: a > a ).

thf(func_def_2,type,
    g1: a > a ).

thf(func_def_3,type,
    p: ( a > a ) > $o ).

thf(f10,plain,
    $false,
    inference(subsumption_resolution,[],[f9,f8]) ).

thf(f8,plain,
    ( ( p
      @ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
   != $true ),
    inference(cnf_transformation,[],[f7]) ).

thf(f7,plain,
    ( ( ( p
        @ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
      = $true )
    & ( ( p
        @ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
     != $true ) ),
    inference(ennf_transformation,[],[f6]) ).

thf(f6,plain,
    ~ ( ( ( p
          @ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
        = $true )
      | ( ( p
          @ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
       != $true ) ),
    inference(flattening,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ( p
          @ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
        = $true )
      | ( ( p
          @ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
       != $true ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( p
        @ ^ [X0: a] : ( g1 @ ( g2 @ X0 ) ) )
      | ~ ( p
          @ ^ [X1: a] : ( g1 @ ( g2 @ X1 ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( p
        @ ^ [X1: a] : ( g1 @ ( g2 @ X1 ) ) )
      | ~ ( p
          @ ^ [X0: a] : ( g1 @ ( g2 @ X0 ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( p
      @ ^ [X1: a] : ( g1 @ ( g2 @ X1 ) ) )
    | ~ ( p
        @ ^ [X0: a] : ( g1 @ ( g2 @ X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRANS_BUG_EX2) ).

thf(f9,plain,
    ( ( p
      @ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
    = $true ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYO290^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14  % 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
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon May 20 09:21:37 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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  % (11223)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)
% 0.14/0.37  % (11222)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  % (11216)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.37  % (11218)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)
% 0.14/0.37  % (11219)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37  % (11220)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  % (11217)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  % (11222)First to succeed.
% 0.14/0.37  % (11221)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  % (11223)Also succeeded, but the first one will report.
% 0.14/0.37  % (11222)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Theorem for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (11222)------------------------------
% 0.14/0.37  % (11222)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (11222)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (11222)Memory used [KB]: 5373
% 0.14/0.37  % (11222)Time elapsed: 0.003 s
% 0.14/0.37  % (11222)Instructions burned: 1 (million)
% 0.14/0.37  % (11222)------------------------------
% 0.14/0.37  % (11222)------------------------------
% 0.14/0.37  % (11215)Success in time 0.004 s
% 0.14/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------