TSTP Solution File: SYO204^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO204^5 : 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/sandbox/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 : Tue May 21 09:03:28 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   3 unt;   1 typ;   0 def)
%            Number of atoms       :   32 (  14 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   19 (   9   ~;   0   |;   4   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   36 (  17 fml;  19 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   18 (   9   !;   9   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_2,type,
    sK0: $o > $o ).

tff(f13,plain,
    $false,
    inference(subsumption_resolution,[],[f3,f11]) ).

tff(f11,plain,
    ! [X0: $o] : ( $true = (X0) ),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    ! [X0: $o] :
      ( ( $true != sK0((X0)) )
      & ( $true = (X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).

tff(f9,plain,
    ! [X0: $o] :
      ( ? [X1: $o] :
          ( ( $true != (X1) )
          & ( $true = (X0) ) )
     => ( ( $true != sK0((X0)) )
        & ( $true = (X0) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f8,plain,
    ! [X0: $o] :
    ? [X1: $o] :
      ( ( $true != (X1) )
      & ( $true = (X0) ) ),
    inference(ennf_transformation,[],[f7]) ).

tff(f7,plain,
    ~ ? [X0: $o] :
      ! [X1: $o] :
        ( ( $true = (X0) )
       => ( $true = (X1) ) ),
    inference(rectify,[],[f6]) ).

tff(f6,plain,
    ~ ? [X1: $o] :
      ! [X2: $o] :
        ( ( $true = (X1) )
       => ( $true = (X2) ) ),
    inference(fool_elimination,[],[f5]) ).

tff(f5,plain,
    ~ ? [X1: $o] :
      ! [X2: $o] :
        ( (X1)
       => (X2) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $o,X1: $o] :
      ! [X2: $o] :
        ( (X1)
       => (X2) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $o,X1: $o] :
    ! [X2: $o] :
      ( (X1)
     => (X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCT313) ).

tff(f3,plain,
    $false != $true,
    introduced(fool_axiom,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYO204^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 08:59:52 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/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  % (27831)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  % (27825)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  % (27824)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  % (27831)First to succeed.
% 0.14/0.37  % (27827)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37  % (27828)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  % (27830)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  % (27824)Also succeeded, but the first one will report.
% 0.14/0.37  % (27826)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  % (27831)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  % (27831)------------------------------
% 0.14/0.37  % (27831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (27831)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (27831)Memory used [KB]: 5373
% 0.14/0.37  % (27831)Time elapsed: 0.003 s
% 0.14/0.37  % (27831)Instructions burned: 1 (million)
% 0.14/0.37  % (27831)------------------------------
% 0.14/0.37  % (27831)------------------------------
% 0.14/0.37  % (27823)Success in time 0.008 s
% 0.14/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------