TSTP Solution File: SYO188^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO188^5 : 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 : n003.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 09:03:25 EDT 2024

% Result   : Theorem 0.13s 0.35s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :   24 (   8 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :   25 (  10   ~;   0   |;   0   &;  14   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   28 (  28   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (   2   ^   8   !;   6   ?;  17   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_3,type,
    sK0: ( ( $o > $o ) > $o ) > $o > $o ).

thf(func_def_5,type,
    ph2: 
      !>[X0: $tType] : X0 ).

thf(f16,plain,
    $false,
    inference(trivial_inequality_removal,[],[f15]) ).

thf(f15,plain,
    $true != $true,
    inference(beta_eta_normalization,[],[f10]) ).

thf(f10,plain,
    ( $true
   != ( ^ [Y0: $o > $o] : $true
      @ ( sK0
        @ ^ [Y0: $o > $o] : $true ) ) ),
    inference(primitive_instantiation,[],[f9]) ).

thf(f9,plain,
    ! [X0: ( $o > $o ) > $o] :
      ( $true
     != ( X0 @ ( sK0 @ X0 ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f8,plain,
    ! [X0: ( $o > $o ) > $o] :
      ( $true
     != ( X0 @ ( sK0 @ X0 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).

thf(f7,plain,
    ! [X0: ( $o > $o ) > $o] :
      ( ? [X1: $o > $o] :
          ( ( X0 @ X1 )
         != $true )
     => ( $true
       != ( X0 @ ( sK0 @ X0 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f6,plain,
    ! [X0: ( $o > $o ) > $o] :
    ? [X1: $o > $o] :
      ( ( X0 @ X1 )
     != $true ),
    inference(ennf_transformation,[],[f5]) ).

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

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

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

thf(f1,conjecture,
    ? [X0: ( $o > $o ) > $o] :
    ! [X1: $o > $o] : ( X0 @ X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCT19) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SYO188^5 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.12  % 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
% 0.13/0.33  % Computer : n003.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon May 20 11:01:23 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.13/0.33  This is a TH0_THM_NEQ_NAR problem
% 0.13/0.33  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
% 0.13/0.35  % (32527)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.35  % (32526)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)
% 0.13/0.35  % (32528)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)
% 0.13/0.35  % (32529)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)
% 0.13/0.35  % (32525)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)
% 0.13/0.35  % (32524)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.35  % (32530)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.35  % (32531)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)
% 0.13/0.35  % (32529)First to succeed.
% 0.13/0.35  % (32528)Instruction limit reached!
% 0.13/0.35  % (32528)------------------------------
% 0.13/0.35  % (32528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (32528)Termination reason: Unknown
% 0.13/0.35  % (32528)Termination phase: Saturation
% 0.13/0.35  
% 0.13/0.35  % (32526)Refutation not found, incomplete strategy
% 0.13/0.35  % (32526)------------------------------
% 0.13/0.35  % (32526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (32526)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.35  
% 0.13/0.35  
% 0.13/0.35  % (32526)Memory used [KB]: 5500
% 0.13/0.35  % (32526)Time elapsed: 0.003 s
% 0.13/0.35  % (32526)Instructions burned: 2 (million)
% 0.13/0.35  % (32526)------------------------------
% 0.13/0.35  % (32526)------------------------------
% 0.13/0.35  % (32528)Memory used [KB]: 5500
% 0.13/0.35  % (32528)Time elapsed: 0.003 s
% 0.13/0.35  % (32528)Instructions burned: 2 (million)
% 0.13/0.35  % (32528)------------------------------
% 0.13/0.35  % (32528)------------------------------
% 0.13/0.35  % (32525)Also succeeded, but the first one will report.
% 0.13/0.35  % (32527)Also succeeded, but the first one will report.
% 0.13/0.35  % (32529)Refutation found. Thanks to Tanya!
% 0.13/0.35  % SZS status Theorem for theBenchmark
% 0.13/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.35  % (32529)------------------------------
% 0.13/0.35  % (32529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (32529)Termination reason: Refutation
% 0.13/0.35  
% 0.13/0.35  % (32529)Memory used [KB]: 5373
% 0.13/0.35  % (32529)Time elapsed: 0.003 s
% 0.13/0.35  % (32529)Instructions burned: 1 (million)
% 0.13/0.35  % (32529)------------------------------
% 0.13/0.35  % (32529)------------------------------
% 0.13/0.35  % (32523)Success in time 0.014 s
% 0.13/0.35  % Vampire---4.8 exiting
%------------------------------------------------------------------------------