TSTP Solution File: ALG278^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG278^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 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 : n026.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 04:13:45 EDT 2024

% Result   : Theorem 0.15s 0.40s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   67 (  49 unt;  10 typ;   0 def)
%            Number of atoms       :  211 ( 101 equ;   0 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  461 (  11   ~;   0   |;  19   &; 378   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   78 (  78   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (   8 usr;   6 con; 0-2 aty)
%                                         (  38  !!;   9  ??;   0 @@+;   0 @@-)
%            Number of variables   :  159 (  95   ^  54   !;  10   ?; 159   :)

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

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

thf(func_def_1,type,
    cGROUP2: ( g > g > g ) > g > $o ).

thf(func_def_2,type,
    cGRP_ASSOC: ( g > g > g ) > $o ).

thf(func_def_3,type,
    cGRP_LEFT_INVERSE: ( g > g > g ) > g > $o ).

thf(func_def_4,type,
    cGRP_LEFT_UNIT: ( g > g > g ) > g > $o ).

thf(func_def_17,type,
    sK0: g > g > g ).

thf(func_def_18,type,
    sK1: g ).

thf(func_def_19,type,
    sK2: g ).

thf(func_def_21,type,
    sK4: g > g ).

thf(f118,plain,
    $false,
    inference(trivial_inequality_removal,[],[f117]) ).

thf(f117,plain,
    sK2 != sK2,
    inference(superposition,[],[f26,f103]) ).

thf(f103,plain,
    ! [X0: g] :
      ( ( sK0 @ X0 @ sK1 )
      = X0 ),
    inference(backward_demodulation,[],[f57,f95]) ).

thf(f95,plain,
    ! [X0: g] :
      ( ( sK4 @ ( sK4 @ X0 ) )
      = X0 ),
    inference(superposition,[],[f57,f90]) ).

thf(f90,plain,
    ! [X0: g] :
      ( ( sK0 @ ( sK4 @ ( sK4 @ ( sK4 @ ( sK4 @ X0 ) ) ) ) @ sK1 )
      = X0 ),
    inference(superposition,[],[f55,f66]) ).

thf(f66,plain,
    ! [X0: g] :
      ( sK1
      = ( sK0 @ ( sK4 @ ( sK4 @ ( sK4 @ X0 ) ) ) @ X0 ) ),
    inference(superposition,[],[f55,f57]) ).

thf(f55,plain,
    ! [X0: g,X1: g] :
      ( ( sK0 @ ( sK4 @ X0 ) @ ( sK0 @ X0 @ X1 ) )
      = X1 ),
    inference(forward_demodulation,[],[f51,f42]) ).

thf(f42,plain,
    ! [X1: g] :
      ( ( sK0 @ sK1 @ X1 )
      = X1 ),
    inference(equality_proxy_clausification,[],[f41]) ).

thf(f41,plain,
    ! [X1: g] :
      ( ( ( sK0 @ sK1 @ X1 )
        = X1 )
      = $true ),
    inference(beta_eta_normalization,[],[f40]) ).

thf(f40,plain,
    ! [X1: g] :
      ( ( ^ [Y0: g] :
            ( ( sK0 @ sK1 @ Y0 )
            = Y0 )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f33]) ).

thf(f33,plain,
    ( ( !! @ g
      @ ^ [Y0: g] :
          ( ( sK0 @ sK1 @ Y0 )
          = Y0 ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f32]) ).

thf(f32,plain,
    ( ( ( !! @ g
        @ ^ [Y0: g] :
            ( ?? @ g
            @ ^ [Y1: g] :
                ( ( sK0 @ Y1 @ Y0 )
                = sK1 ) ) )
      & ( !! @ g
        @ ^ [Y0: g] :
            ( ( sK0 @ sK1 @ Y0 )
            = Y0 ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f30]) ).

thf(f30,plain,
    ( ( ( !! @ g
        @ ^ [Y0: g] :
            ( ?? @ g
            @ ^ [Y1: g] :
                ( ( sK0 @ Y1 @ Y0 )
                = sK1 ) ) )
      & ( !! @ g
        @ ^ [Y0: g] :
            ( ( sK0 @ sK1 @ Y0 )
            = Y0 ) )
      & ( !! @ g
        @ ^ [Y0: g] :
            ( !! @ g
            @ ^ [Y1: g] :
                ( !! @ g
                @ ^ [Y2: g] :
                    ( ( sK0 @ ( sK0 @ Y1 @ Y0 ) @ Y2 )
                    = ( sK0 @ Y1 @ ( sK0 @ Y0 @ Y2 ) ) ) ) ) ) )
    = $true ),
    inference(beta_eta_normalization,[],[f29]) ).

thf(f29,plain,
    ( ( ^ [Y0: g > g > g,Y1: g] :
          ( ( ^ [Y2: g > g > g,Y3: g] :
                ( !! @ g
                @ ^ [Y4: g] :
                    ( ?? @ g
                    @ ^ [Y5: g] :
                        ( ( Y2 @ Y5 @ Y4 )
                        = Y3 ) ) )
            @ Y0
            @ Y1 )
          & ( ^ [Y2: g > g > g,Y3: g] :
                ( !! @ g
                @ ^ [Y4: g] :
                    ( ( Y2 @ Y3 @ Y4 )
                    = Y4 ) )
            @ Y0
            @ Y1 )
          & ( ^ [Y2: g > g > g] :
                ( !! @ g
                @ ^ [Y3: g] :
                    ( !! @ g
                    @ ^ [Y4: g] :
                        ( !! @ g
                        @ ^ [Y5: g] :
                            ( ( Y2 @ ( Y2 @ Y4 @ Y3 ) @ Y5 )
                            = ( Y2 @ Y4 @ ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
            @ Y0 ) )
      @ sK0
      @ sK1 )
    = $true ),
    inference(definition_unfolding,[],[f27,f28]) ).

thf(f28,plain,
    ( cGROUP2
    = ( ^ [Y0: g > g > g,Y1: g] :
          ( ( ^ [Y2: g > g > g,Y3: g] :
                ( !! @ g
                @ ^ [Y4: g] :
                    ( ?? @ g
                    @ ^ [Y5: g] :
                        ( ( Y2 @ Y5 @ Y4 )
                        = Y3 ) ) )
            @ Y0
            @ Y1 )
          & ( ^ [Y2: g > g > g,Y3: g] :
                ( !! @ g
                @ ^ [Y4: g] :
                    ( ( Y2 @ Y3 @ Y4 )
                    = Y4 ) )
            @ Y0
            @ Y1 )
          & ( ^ [Y2: g > g > g] :
                ( !! @ g
                @ ^ [Y3: g] :
                    ( !! @ g
                    @ ^ [Y4: g] :
                        ( !! @ g
                        @ ^ [Y5: g] :
                            ( ( Y2 @ ( Y2 @ Y4 @ Y3 ) @ Y5 )
                            = ( Y2 @ Y4 @ ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
            @ Y0 ) ) ) ),
    inference(definition_unfolding,[],[f23,f22,f25,f24]) ).

thf(f24,plain,
    ( cGRP_ASSOC
    = ( ^ [Y0: g > g > g] :
          ( !! @ g
          @ ^ [Y1: g] :
              ( !! @ g
              @ ^ [Y2: g] :
                  ( !! @ g
                  @ ^ [Y3: g] :
                      ( ( Y0 @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
                      = ( Y0 @ Y2 @ ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f11,plain,
    ( cGRP_ASSOC
    = ( ^ [Y0: g > g > g] :
          ( !! @ g
          @ ^ [Y1: g] :
              ( !! @ g
              @ ^ [Y2: g] :
                  ( !! @ g
                  @ ^ [Y3: g] :
                      ( ( Y0 @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
                      = ( Y0 @ Y2 @ ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f10]) ).

thf(f10,plain,
    ( ( ^ [X0: g > g > g] :
        ! [X1: g,X2: g,X3: g] :
          ( ( X0 @ ( X0 @ X2 @ X3 ) @ X1 )
          = ( X0 @ X2 @ ( X0 @ X3 @ X1 ) ) ) )
    = cGRP_ASSOC ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ( ( ^ [X0: g > g > g] :
        ! [X3: g,X1: g,X2: g] :
          ( ( X0 @ ( X0 @ X1 @ X2 ) @ X3 )
          = ( X0 @ X1 @ ( X0 @ X2 @ X3 ) ) ) )
    = cGRP_ASSOC ),
    file('/export/starexec/sandbox2/tmp/tmp.1FqtWFNwz3/Vampire---4.8_32556',cGRP_ASSOC_def) ).

thf(f25,plain,
    ( cGRP_LEFT_UNIT
    = ( ^ [Y0: g > g > g,Y1: g] :
          ( !! @ g
          @ ^ [Y2: g] :
              ( ( Y0 @ Y1 @ Y2 )
              = Y2 ) ) ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f13,plain,
    ( cGRP_LEFT_UNIT
    = ( ^ [Y0: g > g > g,Y1: g] :
          ( !! @ g
          @ ^ [Y2: g] :
              ( ( Y0 @ Y1 @ Y2 )
              = Y2 ) ) ) ),
    inference(fool_elimination,[],[f12]) ).

thf(f12,plain,
    ( ( ^ [X0: g > g > g,X1: g] :
        ! [X2: g] :
          ( ( X0 @ X1 @ X2 )
          = X2 ) )
    = cGRP_LEFT_UNIT ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ( ( ^ [X0: g > g > g,X4: g] :
        ! [X1: g] :
          ( ( X0 @ X4 @ X1 )
          = X1 ) )
    = cGRP_LEFT_UNIT ),
    file('/export/starexec/sandbox2/tmp/tmp.1FqtWFNwz3/Vampire---4.8_32556',cGRP_LEFT_UNIT_def) ).

thf(f22,plain,
    ( cGRP_LEFT_INVERSE
    = ( ^ [Y0: g > g > g,Y1: g] :
          ( !! @ g
          @ ^ [Y2: g] :
              ( ?? @ g
              @ ^ [Y3: g] :
                  ( ( Y0 @ Y3 @ Y2 )
                  = Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f15,plain,
    ( cGRP_LEFT_INVERSE
    = ( ^ [Y0: g > g > g,Y1: g] :
          ( !! @ g
          @ ^ [Y2: g] :
              ( ?? @ g
              @ ^ [Y3: g] :
                  ( ( Y0 @ Y3 @ Y2 )
                  = Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f14]) ).

thf(f14,plain,
    ( ( ^ [X0: g > g > g,X1: g] :
        ! [X2: g] :
        ? [X3: g] :
          ( ( X0 @ X3 @ X2 )
          = X1 ) )
    = cGRP_LEFT_INVERSE ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ( ( ^ [X0: g > g > g,X4: g] :
        ! [X1: g] :
        ? [X2: g] :
          ( ( X0 @ X2 @ X1 )
          = X4 ) )
    = cGRP_LEFT_INVERSE ),
    file('/export/starexec/sandbox2/tmp/tmp.1FqtWFNwz3/Vampire---4.8_32556',cGRP_LEFT_INVERSE_def) ).

thf(f23,plain,
    ( cGROUP2
    = ( ^ [Y0: g > g > g,Y1: g] :
          ( ( cGRP_LEFT_INVERSE @ Y0 @ Y1 )
          & ( cGRP_LEFT_UNIT @ Y0 @ Y1 )
          & ( cGRP_ASSOC @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f17,plain,
    ( cGROUP2
    = ( ^ [Y0: g > g > g,Y1: g] :
          ( ( cGRP_LEFT_INVERSE @ Y0 @ Y1 )
          & ( cGRP_LEFT_UNIT @ Y0 @ Y1 )
          & ( cGRP_ASSOC @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f16]) ).

thf(f16,plain,
    ( cGROUP2
    = ( ^ [X0: g > g > g,X1: g] :
          ( ( cGRP_ASSOC @ X0 )
          & ( cGRP_LEFT_UNIT @ X0 @ X1 )
          & ( cGRP_LEFT_INVERSE @ X0 @ X1 ) ) ) ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ( cGROUP2
    = ( ^ [X0: g > g > g,X4: g] :
          ( ( cGRP_ASSOC @ X0 )
          & ( cGRP_LEFT_UNIT @ X0 @ X4 )
          & ( cGRP_LEFT_INVERSE @ X0 @ X4 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1FqtWFNwz3/Vampire---4.8_32556',cGROUP2_def) ).

thf(f27,plain,
    ( ( cGROUP2 @ sK0 @ sK1 )
    = $true ),
    inference(cnf_transformation,[],[f21]) ).

thf(f21,plain,
    ( ( ( cGROUP2 @ sK0 @ sK1 )
      = $true )
    & ( ( sK0 @ sK2 @ sK1 )
     != sK2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f18,f20,f19]) ).

thf(f19,plain,
    ( ? [X0: g > g > g,X1: g] :
        ( ( ( cGROUP2 @ X0 @ X1 )
          = $true )
        & ? [X2: g] :
            ( ( X0 @ X2 @ X1 )
           != X2 ) )
   => ( ( ( cGROUP2 @ sK0 @ sK1 )
        = $true )
      & ? [X2: g] :
          ( ( sK0 @ X2 @ sK1 )
         != X2 ) ) ),
    introduced(choice_axiom,[]) ).

thf(f20,plain,
    ( ? [X2: g] :
        ( ( sK0 @ X2 @ sK1 )
       != X2 )
   => ( ( sK0 @ sK2 @ sK1 )
     != sK2 ) ),
    introduced(choice_axiom,[]) ).

thf(f18,plain,
    ? [X0: g > g > g,X1: g] :
      ( ( ( cGROUP2 @ X0 @ X1 )
        = $true )
      & ? [X2: g] :
          ( ( X0 @ X2 @ X1 )
         != X2 ) ),
    inference(ennf_transformation,[],[f9]) ).

thf(f9,plain,
    ~ ! [X0: g > g > g,X1: g] :
        ( ( ( cGROUP2 @ X0 @ X1 )
          = $true )
       => ! [X2: g] :
            ( ( X0 @ X2 @ X1 )
            = X2 ) ),
    inference(fool_elimination,[],[f8]) ).

thf(f8,plain,
    ~ ! [X0: g > g > g,X1: g] :
        ( ( cGROUP2 @ X0 @ X1 )
       => ! [X2: g] :
            ( ( X0 @ X2 @ X1 )
            = X2 ) ),
    inference(rectify,[],[f6]) ).

thf(f6,negated_conjecture,
    ~ ! [X0: g > g > g,X4: g] :
        ( ( cGROUP2 @ X0 @ X4 )
       => ! [X1: g] :
            ( ( X0 @ X1 @ X4 )
            = X1 ) ),
    inference(negated_conjecture,[],[f5]) ).

thf(f5,conjecture,
    ! [X0: g > g > g,X4: g] :
      ( ( cGROUP2 @ X0 @ X4 )
     => ! [X1: g] :
          ( ( X0 @ X1 @ X4 )
          = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1FqtWFNwz3/Vampire---4.8_32556',cE12A1) ).

thf(f51,plain,
    ! [X0: g,X1: g] :
      ( ( sK0 @ sK1 @ X1 )
      = ( sK0 @ ( sK4 @ X0 ) @ ( sK0 @ X0 @ X1 ) ) ),
    inference(superposition,[],[f49,f39]) ).

thf(f39,plain,
    ! [X1: g] :
      ( sK1
      = ( sK0 @ ( sK4 @ X1 ) @ X1 ) ),
    inference(equality_proxy_clausification,[],[f38]) ).

thf(f38,plain,
    ! [X1: g] :
      ( ( ( sK0 @ ( sK4 @ X1 ) @ X1 )
        = sK1 )
      = $true ),
    inference(beta_eta_normalization,[],[f37]) ).

thf(f37,plain,
    ! [X1: g] :
      ( ( ^ [Y0: g] :
            ( ( sK0 @ Y0 @ X1 )
            = sK1 )
        @ ( sK4 @ X1 ) )
      = $true ),
    inference(sigma_clausification,[],[f36]) ).

thf(f36,plain,
    ! [X1: g] :
      ( ( ?? @ g
        @ ^ [Y0: g] :
            ( ( sK0 @ Y0 @ X1 )
            = sK1 ) )
      = $true ),
    inference(beta_eta_normalization,[],[f35]) ).

thf(f35,plain,
    ! [X1: g] :
      ( ( ^ [Y0: g] :
            ( ?? @ g
            @ ^ [Y1: g] :
                ( ( sK0 @ Y1 @ Y0 )
                = sK1 ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f34]) ).

thf(f34,plain,
    ( ( !! @ g
      @ ^ [Y0: g] :
          ( ?? @ g
          @ ^ [Y1: g] :
              ( ( sK0 @ Y1 @ Y0 )
              = sK1 ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f32]) ).

thf(f49,plain,
    ! [X2: g,X3: g,X1: g] :
      ( ( sK0 @ X2 @ ( sK0 @ X1 @ X3 ) )
      = ( sK0 @ ( sK0 @ X2 @ X1 ) @ X3 ) ),
    inference(equality_proxy_clausification,[],[f48]) ).

thf(f48,plain,
    ! [X2: g,X3: g,X1: g] :
      ( ( ( sK0 @ ( sK0 @ X2 @ X1 ) @ X3 )
        = ( sK0 @ X2 @ ( sK0 @ X1 @ X3 ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f47]) ).

thf(f47,plain,
    ! [X2: g,X3: g,X1: g] :
      ( ( ^ [Y0: g] :
            ( ( sK0 @ ( sK0 @ X2 @ X1 ) @ Y0 )
            = ( sK0 @ X2 @ ( sK0 @ X1 @ Y0 ) ) )
        @ X3 )
      = $true ),
    inference(pi_clausification,[],[f46]) ).

thf(f46,plain,
    ! [X2: g,X1: g] :
      ( ( !! @ g
        @ ^ [Y0: g] :
            ( ( sK0 @ ( sK0 @ X2 @ X1 ) @ Y0 )
            = ( sK0 @ X2 @ ( sK0 @ X1 @ Y0 ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f45]) ).

thf(f45,plain,
    ! [X2: g,X1: g] :
      ( ( ^ [Y0: g] :
            ( !! @ g
            @ ^ [Y1: g] :
                ( ( sK0 @ ( sK0 @ Y0 @ X1 ) @ Y1 )
                = ( sK0 @ Y0 @ ( sK0 @ X1 @ Y1 ) ) ) )
        @ X2 )
      = $true ),
    inference(pi_clausification,[],[f44]) ).

thf(f44,plain,
    ! [X1: g] :
      ( ( !! @ g
        @ ^ [Y0: g] :
            ( !! @ g
            @ ^ [Y1: g] :
                ( ( sK0 @ ( sK0 @ Y0 @ X1 ) @ Y1 )
                = ( sK0 @ Y0 @ ( sK0 @ X1 @ Y1 ) ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f43]) ).

thf(f43,plain,
    ! [X1: g] :
      ( $true
      = ( ^ [Y0: g] :
            ( !! @ g
            @ ^ [Y1: g] :
                ( !! @ g
                @ ^ [Y2: g] :
                    ( ( sK0 @ ( sK0 @ Y1 @ Y0 ) @ Y2 )
                    = ( sK0 @ Y1 @ ( sK0 @ Y0 @ Y2 ) ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f31]) ).

thf(f31,plain,
    ( ( !! @ g
      @ ^ [Y0: g] :
          ( !! @ g
          @ ^ [Y1: g] :
              ( !! @ g
              @ ^ [Y2: g] :
                  ( ( sK0 @ ( sK0 @ Y1 @ Y0 ) @ Y2 )
                  = ( sK0 @ Y1 @ ( sK0 @ Y0 @ Y2 ) ) ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f30]) ).

thf(f57,plain,
    ! [X0: g] :
      ( ( sK0 @ ( sK4 @ ( sK4 @ X0 ) ) @ sK1 )
      = X0 ),
    inference(superposition,[],[f55,f39]) ).

thf(f26,plain,
    ( ( sK0 @ sK2 @ sK1 )
   != sK2 ),
    inference(cnf_transformation,[],[f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : ALG278^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.08/0.15  % 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 : n026.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
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 20:01:53 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TH0_THM_EQU_NAR problem
% 0.15/0.37  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.1FqtWFNwz3/Vampire---4.8_32556
% 0.15/0.39  % (32729)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)
% 0.15/0.39  % (32732)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)
% 0.15/0.39  % (32731)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.39  % (32733)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)
% 0.15/0.39  % (32734)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.39  % (32732)Instruction limit reached!
% 0.15/0.39  % (32732)------------------------------
% 0.15/0.39  % (32732)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (32732)Termination reason: Unknown
% 0.15/0.39  % (32732)Termination phase: shuffling
% 0.15/0.39  
% 0.15/0.39  % (32732)Memory used [KB]: 895
% 0.15/0.39  % (32732)Time elapsed: 0.003 s
% 0.15/0.39  % (32732)Instructions burned: 2 (million)
% 0.15/0.39  % (32732)------------------------------
% 0.15/0.39  % (32732)------------------------------
% 0.15/0.39  % (32731)Instruction limit reached!
% 0.15/0.39  % (32731)------------------------------
% 0.15/0.39  % (32731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (32731)Termination reason: Unknown
% 0.15/0.39  % (32731)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (32731)Memory used [KB]: 5500
% 0.15/0.39  % (32731)Time elapsed: 0.004 s
% 0.15/0.39  % (32731)Instructions burned: 3 (million)
% 0.15/0.39  % (32731)------------------------------
% 0.15/0.39  % (32731)------------------------------
% 0.15/0.39  % (32733)Refutation not found, incomplete strategy
% 0.15/0.39  % (32733)------------------------------
% 0.15/0.39  % (32733)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (32733)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39  
% 0.15/0.39  
% 0.15/0.39  % (32733)Memory used [KB]: 5500
% 0.15/0.39  % (32733)Time elapsed: 0.004 s
% 0.15/0.39  % (32733)Instructions burned: 2 (million)
% 0.15/0.39  % (32733)------------------------------
% 0.15/0.39  % (32733)------------------------------
% 0.15/0.39  % (32728)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)
% 0.15/0.39  % (32735)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)
% 0.15/0.39  % (32729)Instruction limit reached!
% 0.15/0.39  % (32729)------------------------------
% 0.15/0.39  % (32729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (32729)Termination reason: Unknown
% 0.15/0.39  % (32729)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (32729)Memory used [KB]: 5500
% 0.15/0.39  % (32729)Time elapsed: 0.004 s
% 0.15/0.39  % (32729)Instructions burned: 4 (million)
% 0.15/0.39  % (32729)------------------------------
% 0.15/0.39  % (32729)------------------------------
% 0.15/0.39  % (32735)Instruction limit reached!
% 0.15/0.39  % (32735)------------------------------
% 0.15/0.39  % (32735)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (32735)Termination reason: Unknown
% 0.15/0.39  % (32735)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (32735)Memory used [KB]: 5500
% 0.15/0.39  % (32735)Time elapsed: 0.004 s
% 0.15/0.39  % (32735)Instructions burned: 3 (million)
% 0.15/0.39  % (32735)------------------------------
% 0.15/0.39  % (32735)------------------------------
% 0.15/0.40  % (32730)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)
% 0.15/0.40  % (32734)First to succeed.
% 0.15/0.40  % (32734)Refutation found. Thanks to Tanya!
% 0.15/0.40  % SZS status Theorem for Vampire---4
% 0.15/0.40  % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.40  % (32734)------------------------------
% 0.15/0.40  % (32734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (32734)Termination reason: Refutation
% 0.15/0.40  
% 0.15/0.40  % (32734)Memory used [KB]: 5628
% 0.15/0.40  % (32734)Time elapsed: 0.015 s
% 0.15/0.40  % (32734)Instructions burned: 16 (million)
% 0.15/0.40  % (32734)------------------------------
% 0.15/0.40  % (32734)------------------------------
% 0.15/0.40  % (32727)Success in time 0.015 s
% 0.15/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------