TSTP Solution File: SEV168^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV168^5 : 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 : n005.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 04:12:14 EDT 2024

% Result   : Theorem 0.20s 0.37s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :   23 (  22 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   79 (   7   ~;   0   |;   8   &;  60   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   75 (  75   ^   0   !;   0   ?;  75   :)

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

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

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

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

thf(f12,plain,
    $false,
    inference(subsumption_resolution,[],[f11,f9]) ).

thf(f9,plain,
    ( q
    = ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f7,plain,
    ( ( q != p )
    & ( q
      = ( ^ [Y0: a > a > a] :
            ( Y0
            @ ( q
              @ ^ [Y1: a,Y2: a] : Y1 )
            @ ( q
              @ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
    & ( p
      = ( ^ [Y0: a > a > a] :
            ( Y0
            @ ( q
              @ ^ [Y1: a,Y2: a] : Y1 )
            @ ( q
              @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ( ( q != p )
    & ( q
      = ( ^ [Y0: a > a > a] :
            ( Y0
            @ ( q
              @ ^ [Y1: a,Y2: a] : Y1 )
            @ ( q
              @ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
    & ( p
      = ( ^ [Y0: a > a > a] :
            ( Y0
            @ ( q
              @ ^ [Y1: a,Y2: a] : Y1 )
            @ ( q
              @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ( q
          = ( ^ [Y0: a > a > a] :
                ( Y0
                @ ( q
                  @ ^ [Y1: a,Y2: a] : Y1 )
                @ ( q
                  @ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
        & ( p
          = ( ^ [Y0: a > a > a] :
                ( Y0
                @ ( q
                  @ ^ [Y1: a,Y2: a] : Y1 )
                @ ( q
                  @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) )
     => ( q = p ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( ( p
          = ( ^ [X0: a > a > a] :
                ( X0
                @ ( q
                  @ ^ [X1: a,X2: a] : X1 )
                @ ( q
                  @ ^ [X3: a,X4: a] : X4 ) ) ) )
        & ( q
          = ( ^ [X5: a > a > a] :
                ( X5
                @ ( q
                  @ ^ [X6: a,X7: a] : X6 )
                @ ( q
                  @ ^ [X8: a,X9: a] : X9 ) ) ) ) )
     => ( q = p ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ( p
          = ( ^ [X0: a > a > a] :
                ( X0
                @ ( q
                  @ ^ [X1: a,X2: a] : X1 )
                @ ( q
                  @ ^ [X1: a,X2: a] : X2 ) ) ) )
        & ( q
          = ( ^ [X0: a > a > a] :
                ( X0
                @ ( q
                  @ ^ [X1: a,X2: a] : X1 )
                @ ( q
                  @ ^ [X1: a,X2: a] : X2 ) ) ) ) )
     => ( q = p ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ( p
        = ( ^ [X0: a > a > a] :
              ( X0
              @ ( q
                @ ^ [X1: a,X2: a] : X1 )
              @ ( q
                @ ^ [X1: a,X2: a] : X2 ) ) ) )
      & ( q
        = ( ^ [X0: a > a > a] :
              ( X0
              @ ( q
                @ ^ [X1: a,X2: a] : X1 )
              @ ( q
                @ ^ [X1: a,X2: a] : X2 ) ) ) ) )
   => ( q = p ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM188_PARTIAL_pme) ).

thf(f11,plain,
    ( q
   != ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
    inference(definition_unfolding,[],[f10,f8]) ).

thf(f8,plain,
    ( p
    = ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( q
            @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f10,plain,
    q != p,
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEV168^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14  % 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
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 19:01:37 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  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
% 0.20/0.37  % (17505)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.20/0.37  % (17500)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)
% 0.20/0.37  % (17499)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.20/0.37  % (17501)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)
% 0.20/0.37  % (17503)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)
% 0.20/0.37  % (17505)First to succeed.
% 0.20/0.37  % (17502)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.37  % (17504)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)
% 0.20/0.37  % (17506)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)
% 0.20/0.37  % (17502)Instruction limit reached!
% 0.20/0.37  % (17502)------------------------------
% 0.20/0.37  % (17502)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (17502)Termination reason: Unknown
% 0.20/0.37  % (17503)Instruction limit reached!
% 0.20/0.37  % (17503)------------------------------
% 0.20/0.37  % (17503)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (17503)Termination reason: Unknown
% 0.20/0.37  % (17503)Termination phase: Saturation
% 0.20/0.37  
% 0.20/0.37  % (17500)Also succeeded, but the first one will report.
% 0.20/0.37  % (17503)Memory used [KB]: 5373
% 0.20/0.37  % (17503)Time elapsed: 0.003 s
% 0.20/0.37  % (17503)Instructions burned: 2 (million)
% 0.20/0.37  % (17503)------------------------------
% 0.20/0.37  % (17503)------------------------------
% 0.20/0.37  % (17502)Termination phase: Saturation
% 0.20/0.37  
% 0.20/0.37  % (17502)Memory used [KB]: 5373
% 0.20/0.37  % (17502)Time elapsed: 0.003 s
% 0.20/0.37  % (17502)Instructions burned: 2 (million)
% 0.20/0.37  % (17502)------------------------------
% 0.20/0.37  % (17502)------------------------------
% 0.20/0.37  % (17504)Also succeeded, but the first one will report.
% 0.20/0.37  % (17505)Refutation found. Thanks to Tanya!
% 0.20/0.37  % SZS status Theorem for theBenchmark
% 0.20/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37  % (17505)------------------------------
% 0.20/0.37  % (17505)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (17505)Termination reason: Refutation
% 0.20/0.37  
% 0.20/0.37  % (17505)Memory used [KB]: 5373
% 0.20/0.37  % (17505)Time elapsed: 0.003 s
% 0.20/0.37  % (17505)Instructions burned: 1 (million)
% 0.20/0.37  % (17505)------------------------------
% 0.20/0.37  % (17505)------------------------------
% 0.20/0.37  % (17498)Success in time 0.015 s
% 0.20/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------