TSTP Solution File: SEV200^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV200^5 : TPTP v8.1.2. 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 : 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 : Sun May  5 09:41:43 EDT 2024

% Result   : Theorem 0.22s 0.39s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   24 (   3 unt;   8 typ;   0 def)
%            Number of atoms       :  277 ( 188 equ;   0 cnn)
%            Maximal formula atoms :   22 (  17 avg)
%            Number of connectives :  640 (  91   ~;  67   |; 105   &; 345   @)
%                                         (   0 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (  15 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   46 (  46   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :  205 (   0   ^ 163   !;  42   ?; 205   :)

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

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

thf(func_def_1,type,
    x: a ).

thf(func_def_2,type,
    cZ: a ).

thf(func_def_3,type,
    cP: a > a > a ).

thf(func_def_7,type,
    sK0: a > a > a > $o ).

thf(func_def_8,type,
    sK1: ( a > $o ) > a ).

thf(func_def_9,type,
    sK2: ( a > $o ) > a ).

thf(f30,plain,
    $false,
    inference(subsumption_resolution,[],[f22,f24]) ).

thf(f24,plain,
    ! [X3: a] :
      ( $true
      = ( sK0 @ cZ @ X3 @ X3 ) ),
    inference(equality_resolution,[],[f23]) ).

thf(f23,plain,
    ! [X2: a,X3: a] :
      ( ( $true
        = ( sK0 @ cZ @ X2 @ X3 ) )
      | ( X2 != X3 ) ),
    inference(equality_resolution,[],[f21]) ).

thf(f21,plain,
    ! [X2: a,X3: a,X1: a] :
      ( ( $true
        = ( sK0 @ X1 @ X2 @ X3 ) )
      | ( cZ != X1 )
      | ( X2 != X3 ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f12,plain,
    ( ( $true
     != ( sK0 @ cZ @ x @ x ) )
    & ! [X1: a,X2: a,X3: a] :
        ( ( $true
          = ( sK0 @ X1 @ X2 @ X3 ) )
        | ( ( ( cZ != X1 )
            | ( X2 != X3 ) )
          & ! [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
              ( ( ( cP @ X8 @ X9 )
               != X2 )
              | ( ( sK0 @ X5 @ X8 @ X7 )
               != $true )
              | ( ( cP @ X5 @ X6 )
               != X1 )
              | ( ( sK0 @ X6 @ X9 @ X4 )
               != $true )
              | ( ( cP @ X7 @ X4 )
               != X3 ) )
          & ( ( X1 != X3 )
            | ( cZ != X2 ) ) ) )
    & ! [X10: a > $o] :
        ( ( ( ( X10 @ ( sK2 @ X10 ) )
            = $true )
          & ( ( X10 @ ( sK1 @ X10 ) )
            = $true )
          & ( ( X10 @ ( cP @ ( sK2 @ X10 ) @ ( sK1 @ X10 ) ) )
           != $true ) )
        | ( $true
         != ( X10 @ cZ ) )
        | ! [X13: a] :
            ( ( X10 @ X13 )
            = $true ) )
    & ! [X14: a,X15: a] :
        ( cZ
       != ( cP @ X14 @ X15 ) )
    & ! [X16: a,X17: a,X18: a,X19: a] :
        ( ( ( cP @ X18 @ X17 )
         != ( cP @ X16 @ X19 ) )
        | ( ( X16 = X18 )
          & ( X17 = X19 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f11,f10]) ).

thf(f10,plain,
    ( ? [X0: a > a > a > $o] :
        ( ( ( X0 @ cZ @ x @ x )
         != $true )
        & ! [X1: a,X2: a,X3: a] :
            ( ( $true
              = ( X0 @ X1 @ X2 @ X3 ) )
            | ( ( ( cZ != X1 )
                | ( X2 != X3 ) )
              & ! [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
                  ( ( ( cP @ X8 @ X9 )
                   != X2 )
                  | ( $true
                   != ( X0 @ X5 @ X8 @ X7 ) )
                  | ( ( cP @ X5 @ X6 )
                   != X1 )
                  | ( ( X0 @ X6 @ X9 @ X4 )
                   != $true )
                  | ( ( cP @ X7 @ X4 )
                   != X3 ) )
              & ( ( X1 != X3 )
                | ( cZ != X2 ) ) ) ) )
   => ( ( $true
       != ( sK0 @ cZ @ x @ x ) )
      & ! [X3: a,X2: a,X1: a] :
          ( ( $true
            = ( sK0 @ X1 @ X2 @ X3 ) )
          | ( ( ( cZ != X1 )
              | ( X2 != X3 ) )
            & ! [X9: a,X8: a,X7: a,X6: a,X5: a,X4: a] :
                ( ( ( cP @ X8 @ X9 )
                 != X2 )
                | ( ( sK0 @ X5 @ X8 @ X7 )
                 != $true )
                | ( ( cP @ X5 @ X6 )
                 != X1 )
                | ( ( sK0 @ X6 @ X9 @ X4 )
                 != $true )
                | ( ( cP @ X7 @ X4 )
                 != X3 ) )
            & ( ( X1 != X3 )
              | ( cZ != X2 ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ! [X10: a > $o] :
      ( ? [X11: a,X12: a] :
          ( ( ( X10 @ X12 )
            = $true )
          & ( ( X10 @ X11 )
            = $true )
          & ( $true
           != ( X10 @ ( cP @ X12 @ X11 ) ) ) )
     => ( ( ( X10 @ ( sK2 @ X10 ) )
          = $true )
        & ( ( X10 @ ( sK1 @ X10 ) )
          = $true )
        & ( ( X10 @ ( cP @ ( sK2 @ X10 ) @ ( sK1 @ X10 ) ) )
         != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f9,plain,
    ( ? [X0: a > a > a > $o] :
        ( ( ( X0 @ cZ @ x @ x )
         != $true )
        & ! [X1: a,X2: a,X3: a] :
            ( ( $true
              = ( X0 @ X1 @ X2 @ X3 ) )
            | ( ( ( cZ != X1 )
                | ( X2 != X3 ) )
              & ! [X4: a,X5: a,X6: a,X7: a,X8: a,X9: a] :
                  ( ( ( cP @ X8 @ X9 )
                   != X2 )
                  | ( $true
                   != ( X0 @ X5 @ X8 @ X7 ) )
                  | ( ( cP @ X5 @ X6 )
                   != X1 )
                  | ( ( X0 @ X6 @ X9 @ X4 )
                   != $true )
                  | ( ( cP @ X7 @ X4 )
                   != X3 ) )
              & ( ( X1 != X3 )
                | ( cZ != X2 ) ) ) ) )
    & ! [X10: a > $o] :
        ( ? [X11: a,X12: a] :
            ( ( ( X10 @ X12 )
              = $true )
            & ( ( X10 @ X11 )
              = $true )
            & ( $true
             != ( X10 @ ( cP @ X12 @ X11 ) ) ) )
        | ( $true
         != ( X10 @ cZ ) )
        | ! [X13: a] :
            ( ( X10 @ X13 )
            = $true ) )
    & ! [X14: a,X15: a] :
        ( cZ
       != ( cP @ X14 @ X15 ) )
    & ! [X16: a,X17: a,X18: a,X19: a] :
        ( ( ( cP @ X18 @ X17 )
         != ( cP @ X16 @ X19 ) )
        | ( ( X16 = X18 )
          & ( X17 = X19 ) ) ) ),
    inference(rectify,[],[f8]) ).

thf(f8,plain,
    ( ? [X10: a > a > a > $o] :
        ( ( $true
         != ( X10 @ cZ @ x @ x ) )
        & ! [X13: a,X12: a,X11: a] :
            ( ( $true
              = ( X10 @ X13 @ X12 @ X11 ) )
            | ( ( ( cZ != X13 )
                | ( X11 != X12 ) )
              & ! [X18: a,X19: a,X14: a,X15: a,X17: a,X16: a] :
                  ( ( ( cP @ X17 @ X16 )
                   != X12 )
                  | ( $true
                   != ( X10 @ X19 @ X17 @ X15 ) )
                  | ( ( cP @ X19 @ X14 )
                   != X13 )
                  | ( $true
                   != ( X10 @ X14 @ X16 @ X18 ) )
                  | ( ( cP @ X15 @ X18 )
                   != X11 ) )
              & ( ( X11 != X13 )
                | ( cZ != X12 ) ) ) ) )
    & ! [X4: a > $o] :
        ( ? [X5: a,X6: a] :
            ( ( ( X4 @ X6 )
              = $true )
            & ( $true
              = ( X4 @ X5 ) )
            & ( ( X4 @ ( cP @ X6 @ X5 ) )
             != $true ) )
        | ( ( X4 @ cZ )
         != $true )
        | ! [X7: a] :
            ( $true
            = ( X4 @ X7 ) ) )
    & ! [X8: a,X9: a] :
        ( cZ
       != ( cP @ X8 @ X9 ) )
    & ! [X3: a,X0: a,X1: a,X2: a] :
        ( ( ( cP @ X3 @ X2 )
         != ( cP @ X1 @ X0 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) ) ) ),
    inference(flattening,[],[f7]) ).

thf(f7,plain,
    ( ? [X10: a > a > a > $o] :
        ( ( $true
         != ( X10 @ cZ @ x @ x ) )
        & ! [X13: a,X12: a,X11: a] :
            ( ( $true
              = ( X10 @ X13 @ X12 @ X11 ) )
            | ( ( ( cZ != X13 )
                | ( X11 != X12 ) )
              & ! [X18: a,X19: a,X14: a,X15: a,X17: a,X16: a] :
                  ( ( ( cP @ X17 @ X16 )
                   != X12 )
                  | ( $true
                   != ( X10 @ X19 @ X17 @ X15 ) )
                  | ( ( cP @ X19 @ X14 )
                   != X13 )
                  | ( $true
                   != ( X10 @ X14 @ X16 @ X18 ) )
                  | ( ( cP @ X15 @ X18 )
                   != X11 ) )
              & ( ( X11 != X13 )
                | ( cZ != X12 ) ) ) ) )
    & ! [X8: a,X9: a] :
        ( cZ
       != ( cP @ X8 @ X9 ) )
    & ! [X4: a > $o] :
        ( ! [X7: a] :
            ( $true
            = ( X4 @ X7 ) )
        | ? [X6: a,X5: a] :
            ( ( ( X4 @ ( cP @ X6 @ X5 ) )
             != $true )
            & ( ( X4 @ X6 )
              = $true )
            & ( $true
              = ( X4 @ X5 ) ) )
        | ( ( X4 @ cZ )
         != $true ) )
    & ! [X3: a,X0: a,X1: a,X2: a] :
        ( ( ( cP @ X3 @ X2 )
         != ( cP @ X1 @ X0 ) )
        | ( ( X1 = X3 )
          & ( X0 = X2 ) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

thf(f6,plain,
    ~ ( ( ! [X8: a,X9: a] :
            ( cZ
           != ( cP @ X8 @ X9 ) )
        & ! [X4: a > $o] :
            ( ( ! [X6: a,X5: a] :
                  ( ( ( ( X4 @ X6 )
                      = $true )
                    & ( $true
                      = ( X4 @ X5 ) ) )
                 => ( ( X4 @ ( cP @ X6 @ X5 ) )
                    = $true ) )
              & ( ( X4 @ cZ )
                = $true ) )
           => ! [X7: a] :
                ( $true
                = ( X4 @ X7 ) ) )
        & ! [X2: a,X0: a,X3: a,X1: a] :
            ( ( ( cP @ X3 @ X2 )
              = ( cP @ X1 @ X0 ) )
           => ( ( X1 = X3 )
              & ( X0 = X2 ) ) ) )
     => ! [X10: a > a > a > $o] :
          ( ! [X11: a,X13: a,X12: a] :
              ( ( ( ( X11 = X13 )
                  & ( cZ = X12 ) )
                | ? [X16: a,X17: a,X18: a,X19: a,X14: a,X15: a] :
                    ( ( $true
                      = ( X10 @ X19 @ X17 @ X15 ) )
                    & ( ( cP @ X15 @ X18 )
                      = X11 )
                    & ( ( cP @ X17 @ X16 )
                      = X12 )
                    & ( ( cP @ X19 @ X14 )
                      = X13 )
                    & ( $true
                      = ( X10 @ X14 @ X16 @ X18 ) ) )
                | ( ( X11 = X12 )
                  & ( cZ = X13 ) ) )
             => ( $true
                = ( X10 @ X13 @ X12 @ X11 ) ) )
         => ( $true
            = ( X10 @ cZ @ x @ x ) ) ) ),
    inference(true_and_false_elimination,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ! [X8: a,X9: a] :
            ( cZ
           != ( cP @ X8 @ X9 ) )
        & ! [X4: a > $o] :
            ( ( ! [X6: a,X5: a] :
                  ( ( ( ( X4 @ X6 )
                      = $true )
                    & ( $true
                      = ( X4 @ X5 ) ) )
                 => ( ( X4 @ ( cP @ X6 @ X5 ) )
                    = $true ) )
              & ( ( X4 @ cZ )
                = $true ) )
           => ! [X7: a] :
                ( $true
                = ( X4 @ X7 ) ) )
        & ! [X2: a,X0: a,X3: a,X1: a] :
            ( ( ( cP @ X3 @ X2 )
              = ( cP @ X1 @ X0 ) )
           => ( ( X1 = X3 )
              & ( X0 = X2 ) ) ) )
     => ! [X10: a > a > a > $o] :
          ( ( $true
            & ! [X11: a,X13: a,X12: a] :
                ( ( ( ( X11 = X13 )
                    & ( cZ = X12 ) )
                  | ? [X16: a,X17: a,X18: a,X19: a,X14: a,X15: a] :
                      ( ( $true
                        = ( X10 @ X19 @ X17 @ X15 ) )
                      & ( ( cP @ X15 @ X18 )
                        = X11 )
                      & ( ( cP @ X17 @ X16 )
                        = X12 )
                      & ( ( cP @ X19 @ X14 )
                        = X13 )
                      & ( $true
                        = ( X10 @ X14 @ X16 @ X18 ) ) )
                  | ( ( X11 = X12 )
                    & ( cZ = X13 ) ) )
               => ( $true
                  = ( X10 @ X13 @ X12 @ X11 ) ) ) )
         => ( $true
            = ( X10 @ cZ @ x @ x ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( ! [X0: a,X1: a,X2: a,X3: a] :
            ( ( ( cP @ X3 @ X2 )
              = ( cP @ X1 @ X0 ) )
           => ( ( X0 = X2 )
              & ( X1 = X3 ) ) )
        & ! [X4: a > $o] :
            ( ( ( X4 @ cZ )
              & ! [X5: a,X6: a] :
                  ( ( ( X4 @ X5 )
                    & ( X4 @ X6 ) )
                 => ( X4 @ ( cP @ X6 @ X5 ) ) ) )
           => ! [X7: a] : ( X4 @ X7 ) )
        & ! [X8: a,X9: a] :
            ( cZ
           != ( cP @ X8 @ X9 ) ) )
     => ! [X10: a > a > a > $o] :
          ( ( $true
            & ! [X11: a,X12: a,X13: a] :
                ( ( ( ( cZ = X12 )
                    & ( X11 = X13 ) )
                  | ? [X14: a,X15: a,X16: a,X17: a,X18: a,X19: a] :
                      ( ( ( cP @ X17 @ X16 )
                        = X12 )
                      & ( X10 @ X14 @ X16 @ X18 )
                      & ( ( cP @ X19 @ X14 )
                        = X13 )
                      & ( X10 @ X19 @ X17 @ X15 )
                      & ( ( cP @ X15 @ X18 )
                        = X11 ) )
                  | ( ( cZ = X13 )
                    & ( X11 = X12 ) ) )
               => ( X10 @ X13 @ X12 @ X11 ) ) )
         => ( X10 @ cZ @ x @ x ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ! [X3: a,X1: a,X2: a,X0: a] :
            ( ( ( cP @ X0 @ X2 )
              = ( cP @ X1 @ X3 ) )
           => ( ( X2 = X3 )
              & ( X0 = X1 ) ) )
        & ! [X4: a > $o] :
            ( ( ( X4 @ cZ )
              & ! [X1: a,X0: a] :
                  ( ( ( X4 @ X1 )
                    & ( X4 @ X0 ) )
                 => ( X4 @ ( cP @ X0 @ X1 ) ) ) )
           => ! [X0: a] : ( X4 @ X0 ) )
        & ! [X0: a,X1: a] :
            ( ( cP @ X0 @ X1 )
           != cZ ) )
     => ! [X5: a > a > a > $o] :
          ( ( $true
            & ! [X8: a,X7: a,X6: a] :
                ( ( ( ( cZ = X7 )
                    & ( X6 = X8 ) )
                  | ? [X10: a,X13: a,X12: a,X11: a,X14: a,X9: a] :
                      ( ( ( cP @ X11 @ X12 )
                        = X7 )
                      & ( X5 @ X10 @ X12 @ X14 )
                      & ( ( cP @ X9 @ X10 )
                        = X6 )
                      & ( X5 @ X9 @ X11 @ X13 )
                      & ( ( cP @ X13 @ X14 )
                        = X8 ) )
                  | ( ( cZ = X6 )
                    & ( X7 = X8 ) ) )
               => ( X5 @ X6 @ X7 @ X8 ) ) )
         => ( X5 @ cZ @ x @ x ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ! [X3: a,X1: a,X2: a,X0: a] :
          ( ( ( cP @ X0 @ X2 )
            = ( cP @ X1 @ X3 ) )
         => ( ( X2 = X3 )
            & ( X0 = X1 ) ) )
      & ! [X4: a > $o] :
          ( ( ( X4 @ cZ )
            & ! [X1: a,X0: a] :
                ( ( ( X4 @ X1 )
                  & ( X4 @ X0 ) )
               => ( X4 @ ( cP @ X0 @ X1 ) ) ) )
         => ! [X0: a] : ( X4 @ X0 ) )
      & ! [X0: a,X1: a] :
          ( ( cP @ X0 @ X1 )
         != cZ ) )
   => ! [X5: a > a > a > $o] :
        ( ( $true
          & ! [X8: a,X7: a,X6: a] :
              ( ( ( ( cZ = X7 )
                  & ( X6 = X8 ) )
                | ? [X10: a,X13: a,X12: a,X11: a,X14: a,X9: a] :
                    ( ( ( cP @ X11 @ X12 )
                      = X7 )
                    & ( X5 @ X10 @ X12 @ X14 )
                    & ( ( cP @ X9 @ X10 )
                      = X6 )
                    & ( X5 @ X9 @ X11 @ X13 )
                    & ( ( cP @ X13 @ X14 )
                      = X8 ) )
                | ( ( cZ = X6 )
                  & ( X7 = X8 ) ) )
             => ( X5 @ X6 @ X7 @ X8 ) ) )
       => ( X5 @ cZ @ x @ x ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.BPSdFcYiPW/Vampire---4.8_10149',cS_LEM1C_pme) ).

thf(f22,plain,
    ( $true
   != ( sK0 @ cZ @ x @ x ) ),
    inference(cnf_transformation,[],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEV200^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 11:51:56 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_EQU_NAR problem
% 0.15/0.36  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/tmp/tmp.BPSdFcYiPW/Vampire---4.8_10149
% 0.15/0.38  % (10372)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.38  % (10367)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 Vampire---4 for (2999ds/27Mi)
% 0.15/0.38  % (10365)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.15/0.38  % (10370)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.15/0.38  % (10368)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.38  % (10369)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.38  % (10368)Instruction limit reached!
% 0.15/0.38  % (10368)------------------------------
% 0.15/0.38  % (10368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (10369)Instruction limit reached!
% 0.15/0.38  % (10369)------------------------------
% 0.15/0.38  % (10369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (10368)Termination reason: Unknown
% 0.15/0.38  % (10368)Termination phase: Preprocessing 3
% 0.15/0.38  
% 0.15/0.38  % (10368)Memory used [KB]: 895
% 0.15/0.38  % (10368)Time elapsed: 0.004 s
% 0.15/0.38  % (10368)Instructions burned: 2 (million)
% 0.15/0.38  % (10368)------------------------------
% 0.15/0.38  % (10368)------------------------------
% 0.15/0.38  % (10369)Termination reason: Unknown
% 0.15/0.38  % (10369)Termination phase: shuffling
% 0.15/0.38  
% 0.15/0.38  % (10369)Memory used [KB]: 895
% 0.15/0.38  % (10366)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 Vampire---4 for (2999ds/4Mi)
% 0.15/0.38  % (10372)Instruction limit reached!
% 0.15/0.38  % (10372)------------------------------
% 0.15/0.38  % (10372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (10369)Time elapsed: 0.003 s
% 0.15/0.38  % (10369)Instructions burned: 2 (million)
% 0.15/0.38  % (10369)------------------------------
% 0.15/0.38  % (10369)------------------------------
% 0.15/0.38  % (10372)Termination reason: Unknown
% 0.15/0.38  % (10372)Termination phase: Property scanning
% 0.15/0.38  
% 0.15/0.38  % (10372)Memory used [KB]: 1023
% 0.15/0.38  % (10372)Time elapsed: 0.004 s
% 0.15/0.38  % (10372)Instructions burned: 3 (million)
% 0.15/0.38  % (10372)------------------------------
% 0.15/0.38  % (10372)------------------------------
% 0.15/0.38  % (10371)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.38  % (10370)First to succeed.
% 0.22/0.38  % (10366)Instruction limit reached!
% 0.22/0.38  % (10366)------------------------------
% 0.22/0.38  % (10366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (10366)Termination reason: Unknown
% 0.22/0.38  % (10366)Termination phase: Saturation
% 0.22/0.38  
% 0.22/0.38  % (10366)Memory used [KB]: 5500
% 0.22/0.38  % (10366)Time elapsed: 0.006 s
% 0.22/0.38  % (10366)Instructions burned: 4 (million)
% 0.22/0.38  % (10366)------------------------------
% 0.22/0.38  % (10366)------------------------------
% 0.22/0.39  % (10365)Also succeeded, but the first one will report.
% 0.22/0.39  % (10370)Refutation found. Thanks to Tanya!
% 0.22/0.39  % SZS status Theorem for Vampire---4
% 0.22/0.39  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.39  % (10370)------------------------------
% 0.22/0.39  % (10370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (10370)Termination reason: Refutation
% 0.22/0.39  
% 0.22/0.39  % (10370)Memory used [KB]: 5500
% 0.22/0.39  % (10370)Time elapsed: 0.009 s
% 0.22/0.39  % (10370)Instructions burned: 4 (million)
% 0.22/0.39  % (10370)------------------------------
% 0.22/0.39  % (10370)------------------------------
% 0.22/0.39  % (10362)Success in time 0.012 s
% 0.22/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------