TSTP Solution File: SEV232^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV232^5 : 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 : n017.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 04:12:28 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :   43 (   6 equ;   0 cnn)
%            Maximal formula atoms :    1 (   6 avg)
%            Number of connectives :  137 (   5   ~;   0   |;  12   &;  84   @)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  121 ( 121   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   2 con; 0-2 aty)
%                                         (  12  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   36 (  24   ^  12   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    cS: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).

thf(func_def_1,type,
    c0: ( $i > $o ) > $o ).

thf(f8,plain,
    $false,
    inference(trivial_inequality_removal,[],[f7]) ).

thf(f7,plain,
    ( ( ^ [Y0: ( $i > $o ) > $o] :
          ( !! @ ( ( ( $i > $o ) > $o ) > $o )
          @ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
              ( ( ( Y1 @ c0 )
                & ( !! @ ( ( $i > $o ) > $o )
                  @ ^ [Y2: ( $i > $o ) > $o] :
                      ( ( Y1 @ Y2 )
                     => ( Y1 @ ( cS @ Y2 ) ) ) ) )
             => ( Y1 @ Y0 ) ) ) )
   != ( ^ [Y0: ( $i > $o ) > $o] :
          ( !! @ ( ( ( $i > $o ) > $o ) > $o )
          @ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
              ( ( ( Y1 @ c0 )
                & ( !! @ ( ( $i > $o ) > $o )
                  @ ^ [Y2: ( $i > $o ) > $o] :
                      ( ( Y1 @ Y2 )
                     => ( Y1 @ ( cS @ Y2 ) ) ) ) )
             => ( Y1 @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f6]) ).

thf(f6,plain,
    ( ( ^ [Y0: ( $i > $o ) > $o] :
          ( !! @ ( ( ( $i > $o ) > $o ) > $o )
          @ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
              ( ( ( Y1 @ c0 )
                & ( !! @ ( ( $i > $o ) > $o )
                  @ ^ [Y2: ( $i > $o ) > $o] :
                      ( ( Y1 @ Y2 )
                     => ( Y1 @ ( cS @ Y2 ) ) ) ) )
             => ( Y1 @ Y0 ) ) ) )
   != ( ^ [Y0: ( $i > $o ) > $o] :
          ( !! @ ( ( ( $i > $o ) > $o ) > $o )
          @ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
              ( ( ( Y1 @ c0 )
                & ( !! @ ( ( $i > $o ) > $o )
                  @ ^ [Y2: ( $i > $o ) > $o] :
                      ( ( Y1 @ Y2 )
                     => ( Y1 @ ( cS @ Y2 ) ) ) ) )
             => ( Y1 @ Y0 ) ) ) ) ),
    inference(flattening,[],[f5]) ).

thf(f5,plain,
    ( ( ^ [Y0: ( $i > $o ) > $o] :
          ( !! @ ( ( ( $i > $o ) > $o ) > $o )
          @ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
              ( ( ( Y1 @ c0 )
                & ( !! @ ( ( $i > $o ) > $o )
                  @ ^ [Y2: ( $i > $o ) > $o] :
                      ( ( Y1 @ Y2 )
                     => ( Y1 @ ( cS @ Y2 ) ) ) ) )
             => ( Y1 @ Y0 ) ) ) )
   != ( ^ [Y0: ( $i > $o ) > $o] :
          ( !! @ ( ( ( $i > $o ) > $o ) > $o )
          @ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
              ( ( ( Y1 @ c0 )
                & ( !! @ ( ( $i > $o ) > $o )
                  @ ^ [Y2: ( $i > $o ) > $o] :
                      ( ( Y1 @ Y2 )
                     => ( Y1 @ ( cS @ Y2 ) ) ) ) )
             => ( Y1 @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ( ( ^ [X0: ( $i > $o ) > $o] :
        ! [X1: ( ( $i > $o ) > $o ) > $o] :
          ( ( ! [X2: ( $i > $o ) > $o] :
                ( ( X1 @ X2 )
               => ( X1 @ ( cS @ X2 ) ) )
            & ( X1 @ c0 ) )
         => ( X1 @ X0 ) ) )
   != ( ^ [X3: ( $i > $o ) > $o] :
        ! [X4: ( ( $i > $o ) > $o ) > $o] :
          ( ( ! [X5: ( $i > $o ) > $o] :
                ( ( X4 @ X5 )
               => ( X4 @ ( cS @ X5 ) ) )
            & ( X4 @ c0 ) )
         => ( X4 @ X3 ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ( ( ^ [X3: ( $i > $o ) > $o] :
        ! [X4: ( ( $i > $o ) > $o ) > $o] :
          ( ( ! [X2: ( $i > $o ) > $o] :
                ( ( X4 @ X2 )
               => ( X4 @ ( cS @ X2 ) ) )
            & ( X4 @ c0 ) )
         => ( X4 @ X3 ) ) )
   != ( ^ [X0: ( $i > $o ) > $o] :
        ! [X1: ( ( $i > $o ) > $o ) > $o] :
          ( ( ! [X2: ( $i > $o ) > $o] :
                ( ( X1 @ X2 )
               => ( X1 @ ( cS @ X2 ) ) )
            & ( X1 @ c0 ) )
         => ( X1 @ X0 ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ^ [X3: ( $i > $o ) > $o] :
        ! [X4: ( ( $i > $o ) > $o ) > $o] :
          ( ( ! [X2: ( $i > $o ) > $o] :
                ( ( X4 @ X2 )
               => ( X4 @ ( cS @ X2 ) ) )
            & ( X4 @ c0 ) )
         => ( X4 @ X3 ) ) )
    = ( ^ [X0: ( $i > $o ) > $o] :
        ! [X1: ( ( $i > $o ) > $o ) > $o] :
          ( ( ! [X2: ( $i > $o ) > $o] :
                ( ( X1 @ X2 )
               => ( X1 @ ( cS @ X2 ) ) )
            & ( X1 @ c0 ) )
         => ( X1 @ X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX6007_pme) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SEV232^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.14  % 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
% 0.14/0.35  % Computer : n017.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   : Sun May 19 19:01:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_EQU_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  % (562)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  % (563)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  % (566)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  % (565)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37  % (569)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  % (565)Instruction limit reached!
% 0.14/0.37  % (565)------------------------------
% 0.14/0.37  % (565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (565)Termination reason: Unknown
% 0.14/0.37  % (566)Instruction limit reached!
% 0.14/0.37  % (566)------------------------------
% 0.14/0.37  % (566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (566)Termination reason: Unknown
% 0.14/0.37  % (566)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (566)Memory used [KB]: 895
% 0.14/0.37  % (566)Time elapsed: 0.003 s
% 0.14/0.37  % (566)Instructions burned: 2 (million)
% 0.14/0.37  % (566)------------------------------
% 0.14/0.37  % (566)------------------------------
% 0.14/0.37  % (562)First to succeed.
% 0.14/0.37  % (565)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (565)Memory used [KB]: 895
% 0.14/0.37  % (565)Time elapsed: 0.003 s
% 0.14/0.37  % (565)Instructions burned: 2 (million)
% 0.14/0.37  % (565)------------------------------
% 0.14/0.37  % (565)------------------------------
% 0.14/0.37  % (564)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  % (569)Also succeeded, but the first one will report.
% 0.14/0.37  % (562)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  % (562)------------------------------
% 0.14/0.37  % (562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (562)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (562)Memory used [KB]: 5373
% 0.14/0.37  % (562)Time elapsed: 0.004 s
% 0.14/0.37  % (562)Instructions burned: 2 (million)
% 0.14/0.37  % (562)------------------------------
% 0.14/0.37  % (562)------------------------------
% 0.14/0.37  % (561)Success in time 0.011 s
% 0.14/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------