TSTP Solution File: SEV417^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV417^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n025.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 09:43:05 EDT 2024

% Result   : Theorem 0.16s 0.41s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (  34 unt;   8 typ;   0 def)
%            Number of atoms       :  327 (  76 equ;   0 cnn)
%            Maximal formula atoms :    5 (   7 avg)
%            Number of connectives :  452 (   8   ~;   6   |;  91   &; 264   @)
%                                         (   0 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   2 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   47 (  47   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   6 usr;   4 con; 0-2 aty)
%                                         (  38  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  151 ( 126   ^  24   !;   0   ?; 151   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_1,type,
    cP: ( a > $o ) > $o ).

thf(func_def_16,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(func_def_17,type,
    sK2: a > $o ).

thf(func_def_18,type,
    sK3: a > $o ).

thf(func_def_19,type,
    sK4: a > $o ).

thf(func_def_20,type,
    sK5: a ).

thf(f48,plain,
    $false,
    inference(subsumption_resolution,[],[f47,f34]) ).

thf(f34,plain,
    ( $false
   != ( sK2 @ sK5 ) ),
    inference(beta_eta_normalization,[],[f33]) ).

thf(f33,plain,
    ( ( ^ [Y0: a] : $false
      @ sK5 )
   != ( sK2 @ sK5 ) ),
    inference(negative_extensionality,[],[f32]) ).

thf(f32,plain,
    ( ( ^ [Y0: a] : $false )
   != sK2 ),
    inference(equality_proxy_clausification,[],[f31]) ).

thf(f31,plain,
    ( $false
    = ( sK2
      = ( ^ [Y0: a] : $false ) ) ),
    inference(boolean_simplification,[],[f30]) ).

thf(f30,plain,
    ( $false
    = ( ( sK2
        = ( ^ [Y0: a] : $false ) )
      & $true ) ),
    inference(forward_demodulation,[],[f14,f29]) ).

thf(f29,plain,
    ( ( cP
      @ ^ [Y0: a] : $false )
    = $true ),
    inference(forward_demodulation,[],[f26,f28]) ).

thf(f28,plain,
    ( ( ^ [Y0: a] : $false )
    = ( ^ [Y0: a] :
          ( ( sK4 @ Y0 )
          & ( sK3 @ Y0 ) ) ) ),
    inference(equality_proxy_clausification,[],[f27]) ).

thf(f27,plain,
    ( $true
    = ( ( ^ [Y0: a] : $false )
      = ( ^ [Y0: a] :
            ( ( sK4 @ Y0 )
            & ( sK3 @ Y0 ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f22]) ).

thf(f22,plain,
    ( ( ( ( ^ [Y0: a] : $false )
        = ( ^ [Y0: a] :
              ( ( sK4 @ Y0 )
              & ( sK3 @ Y0 ) ) ) )
      & ( cP
        @ ^ [Y0: a] :
            ( ( sK4 @ Y0 )
            & ( sK3 @ Y0 ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f17]) ).

thf(f17,plain,
    ( $true
    = ( ( ( ^ [Y0: a] : $false )
        = ( ^ [Y0: a] :
              ( ( sK4 @ Y0 )
              & ( sK3 @ Y0 ) ) ) )
      & ( cP
        @ ^ [Y0: a] :
            ( ( sK4 @ Y0 )
            & ( sK3 @ Y0 ) ) )
      & ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( sK4 @ Y0 ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f15]) ).

thf(f15,plain,
    ( $true
    = ( ( ( ^ [Y0: a] : $false )
        = ( ^ [Y0: a] :
              ( ( sK4 @ Y0 )
              & ( sK3 @ Y0 ) ) ) )
      & ( cP
        @ ^ [Y0: a] :
            ( ( sK4 @ Y0 )
            & ( sK3 @ Y0 ) ) )
      & ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( sK4 @ Y0 ) ) )
      & ( !! @ a
        @ ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( sK3 @ Y0 ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f13]) ).

thf(f13,plain,
    ( $false
    = ( ( ( ( ^ [Y0: a] : $false )
          = ( ^ [Y0: a] :
                ( ( sK4 @ Y0 )
                & ( sK3 @ Y0 ) ) ) )
        & ( cP
          @ ^ [Y0: a] :
              ( ( sK4 @ Y0 )
              & ( sK3 @ Y0 ) ) )
        & ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK2 @ Y0 )
             => ( sK4 @ Y0 ) ) )
        & ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK2 @ Y0 )
             => ( sK3 @ Y0 ) ) ) )
     => ( ( sK2
          = ( ^ [Y0: a] : $false ) )
        & ( cP
          @ ^ [Y0: a] : $false ) ) ) ),
    inference(beta_eta_normalization,[],[f12]) ).

thf(f12,plain,
    ( $false
    = ( ^ [Y0: a > $o] :
          ( ( ( ( ^ [Y1: a] : $false )
              = ( ^ [Y1: a] :
                    ( ( Y0 @ Y1 )
                    & ( sK3 @ Y1 ) ) ) )
            & ( cP
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                  & ( sK3 @ Y1 ) ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( sK2 @ Y1 )
                 => ( Y0 @ Y1 ) ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( sK2 @ Y1 )
                 => ( sK3 @ Y1 ) ) ) )
         => ( ( sK2
              = ( ^ [Y1: a] : $false ) )
            & ( cP
              @ ^ [Y1: a] : $false ) ) )
      @ sK4 ) ),
    inference(sigma_clausification,[],[f11]) ).

thf(f11,plain,
    ( $false
    = ( !! @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( ( ( ( ^ [Y1: a] : $false )
              = ( ^ [Y1: a] :
                    ( ( Y0 @ Y1 )
                    & ( sK3 @ Y1 ) ) ) )
            & ( cP
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                  & ( sK3 @ Y1 ) ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( sK2 @ Y1 )
                 => ( Y0 @ Y1 ) ) )
            & ( !! @ a
              @ ^ [Y1: a] :
                  ( ( sK2 @ Y1 )
                 => ( sK3 @ Y1 ) ) ) )
         => ( ( sK2
              = ( ^ [Y1: a] : $false ) )
            & ( cP
              @ ^ [Y1: a] : $false ) ) ) ) ),
    inference(beta_eta_normalization,[],[f10]) ).

thf(f10,plain,
    ( $false
    = ( ^ [Y0: a > $o] :
          ( !! @ ( a > $o )
          @ ^ [Y1: a > $o] :
              ( ( ( ( ^ [Y2: a] : $false )
                  = ( ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                        & ( Y0 @ Y2 ) ) ) )
                & ( cP
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                      & ( Y0 @ Y2 ) ) )
                & ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( sK2 @ Y2 )
                     => ( Y1 @ Y2 ) ) )
                & ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( sK2 @ Y2 )
                     => ( Y0 @ Y2 ) ) ) )
             => ( ( sK2
                  = ( ^ [Y2: a] : $false ) )
                & ( cP
                  @ ^ [Y2: a] : $false ) ) ) )
      @ sK3 ) ),
    inference(sigma_clausification,[],[f9]) ).

thf(f9,plain,
    ( $false
    = ( !! @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( !! @ ( a > $o )
          @ ^ [Y1: a > $o] :
              ( ( ( ( ^ [Y2: a] : $false )
                  = ( ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                        & ( Y0 @ Y2 ) ) ) )
                & ( cP
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                      & ( Y0 @ Y2 ) ) )
                & ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( sK2 @ Y2 )
                     => ( Y1 @ Y2 ) ) )
                & ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( sK2 @ Y2 )
                     => ( Y0 @ Y2 ) ) ) )
             => ( ( sK2
                  = ( ^ [Y2: a] : $false ) )
                & ( cP
                  @ ^ [Y2: a] : $false ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f8]) ).

thf(f8,plain,
    ( $false
    = ( ^ [Y0: a > $o] :
          ( !! @ ( a > $o )
          @ ^ [Y1: a > $o] :
              ( !! @ ( a > $o )
              @ ^ [Y2: a > $o] :
                  ( ( ( ( ^ [Y3: a] : $false )
                      = ( ^ [Y3: a] :
                            ( ( Y2 @ Y3 )
                            & ( Y1 @ Y3 ) ) ) )
                    & ( cP
                      @ ^ [Y3: a] :
                          ( ( Y2 @ Y3 )
                          & ( Y1 @ Y3 ) ) )
                    & ( !! @ a
                      @ ^ [Y3: a] :
                          ( ( Y0 @ Y3 )
                         => ( Y2 @ Y3 ) ) )
                    & ( !! @ a
                      @ ^ [Y3: a] :
                          ( ( Y0 @ Y3 )
                         => ( Y1 @ Y3 ) ) ) )
                 => ( ( Y0
                      = ( ^ [Y3: a] : $false ) )
                    & ( cP
                      @ ^ [Y3: a] : $false ) ) ) ) )
      @ sK2 ) ),
    inference(sigma_clausification,[],[f7]) ).

thf(f7,plain,
    ( $false
    = ( !! @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( !! @ ( a > $o )
          @ ^ [Y1: a > $o] :
              ( !! @ ( a > $o )
              @ ^ [Y2: a > $o] :
                  ( ( ( ( ^ [Y3: a] : $false )
                      = ( ^ [Y3: a] :
                            ( ( Y2 @ Y3 )
                            & ( Y1 @ Y3 ) ) ) )
                    & ( cP
                      @ ^ [Y3: a] :
                          ( ( Y2 @ Y3 )
                          & ( Y1 @ Y3 ) ) )
                    & ( !! @ a
                      @ ^ [Y3: a] :
                          ( ( Y0 @ Y3 )
                         => ( Y2 @ Y3 ) ) )
                    & ( !! @ a
                      @ ^ [Y3: a] :
                          ( ( Y0 @ Y3 )
                         => ( Y1 @ Y3 ) ) ) )
                 => ( ( Y0
                      = ( ^ [Y3: a] : $false ) )
                    & ( cP
                      @ ^ [Y3: a] : $false ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f6]) ).

thf(f6,plain,
    ( ( ~ ( !! @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( !! @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( ( ( ( ^ [Y3: a] : $false )
                          = ( ^ [Y3: a] :
                                ( ( Y2 @ Y3 )
                                & ( Y1 @ Y3 ) ) ) )
                        & ( cP
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                              & ( Y1 @ Y3 ) ) )
                        & ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y0 @ Y3 )
                             => ( Y2 @ Y3 ) ) )
                        & ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y0 @ Y3 )
                             => ( Y1 @ Y3 ) ) ) )
                     => ( ( Y0
                          = ( ^ [Y3: a] : $false ) )
                        & ( cP
                          @ ^ [Y3: a] : $false ) ) ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f5]) ).

thf(f5,plain,
    ( ( ~ ( !! @ ( a > $o )
          @ ^ [Y0: a > $o] :
              ( !! @ ( a > $o )
              @ ^ [Y1: a > $o] :
                  ( !! @ ( a > $o )
                  @ ^ [Y2: a > $o] :
                      ( ( ( ( ^ [Y3: a] : $false )
                          = ( ^ [Y3: a] :
                                ( ( Y2 @ Y3 )
                                & ( Y1 @ Y3 ) ) ) )
                        & ( cP
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                              & ( Y1 @ Y3 ) ) )
                        & ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y0 @ Y3 )
                             => ( Y2 @ Y3 ) ) )
                        & ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( Y0 @ Y3 )
                             => ( Y1 @ Y3 ) ) ) )
                     => ( ( Y0
                          = ( ^ [Y3: a] : $false ) )
                        & ( cP
                          @ ^ [Y3: a] : $false ) ) ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f4]) ).

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

thf(f2,negated_conjecture,
    ~ ! [X1: a > $o,X2: a > $o,X0: a > $o] :
        ( ( ! [X3: a] :
              ( ( X0 @ X3 )
             => ( X2 @ X3 ) )
          & ! [X3: a] :
              ( ( X0 @ X3 )
             => ( X1 @ X3 ) )
          & ( cP
            @ ^ [X3: a] :
                ( ( X2 @ X3 )
                & ( X1 @ X3 ) ) )
          & ( ( ^ [X3: a] : $false )
            = ( ^ [X3: a] :
                  ( ( X2 @ X3 )
                  & ( X1 @ X3 ) ) ) ) )
       => ( ( cP
            @ ^ [X3: a] : $false )
          & ( X0
            = ( ^ [X3: a] : $false ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ! [X1: a > $o,X2: a > $o,X0: a > $o] :
      ( ( ! [X3: a] :
            ( ( X0 @ X3 )
           => ( X2 @ X3 ) )
        & ! [X3: a] :
            ( ( X0 @ X3 )
           => ( X1 @ X3 ) )
        & ( cP
          @ ^ [X3: a] :
              ( ( X2 @ X3 )
              & ( X1 @ X3 ) ) )
        & ( ( ^ [X3: a] : $false )
          = ( ^ [X3: a] :
                ( ( X2 @ X3 )
                & ( X1 @ X3 ) ) ) ) )
     => ( ( cP
          @ ^ [X3: a] : $false )
        & ( X0
          = ( ^ [X3: a] : $false ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zH90LN5C7F/Vampire---4.8_31569',cTHM502_pme) ).

thf(f26,plain,
    ( ( cP
      @ ^ [Y0: a] :
          ( ( sK4 @ Y0 )
          & ( sK3 @ Y0 ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f22]) ).

thf(f14,plain,
    ( $false
    = ( ( sK2
        = ( ^ [Y0: a] : $false ) )
      & ( cP
        @ ^ [Y0: a] : $false ) ) ),
    inference(binary_proxy_clausification,[],[f13]) ).

thf(f47,plain,
    ( $false
    = ( sK2 @ sK5 ) ),
    inference(trivial_inequality_removal,[],[f45]) ).

thf(f45,plain,
    ( ( $false = $true )
    | ( $false
      = ( sK2 @ sK5 ) ) ),
    inference(superposition,[],[f20,f43]) ).

thf(f43,plain,
    ( $false
    = ( sK3 @ sK5 ) ),
    inference(trivial_inequality_removal,[],[f40]) ).

thf(f40,plain,
    ( ( $false
      = ( sK3 @ sK5 ) )
    | ( $false = $true ) ),
    inference(superposition,[],[f39,f36]) ).

thf(f36,plain,
    ( ( sK4 @ sK5 )
    = $true ),
    inference(trivial_inequality_removal,[],[f35]) ).

thf(f35,plain,
    ( ( $false != $false )
    | ( ( sK4 @ sK5 )
      = $true ) ),
    inference(superposition,[],[f34,f25]) ).

thf(f25,plain,
    ! [X1: a] :
      ( ( $false
        = ( sK2 @ X1 ) )
      | ( ( sK4 @ X1 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f24]) ).

thf(f24,plain,
    ! [X1: a] :
      ( ( ( sK2 @ X1 )
       => ( sK4 @ X1 ) )
      = $true ),
    inference(beta_eta_normalization,[],[f23]) ).

thf(f23,plain,
    ! [X1: a] :
      ( $true
      = ( ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( sK4 @ Y0 ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f21]) ).

thf(f21,plain,
    ( ( !! @ a
      @ ^ [Y0: a] :
          ( ( sK2 @ Y0 )
         => ( sK4 @ Y0 ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f17]) ).

thf(f39,plain,
    ! [X1: a] :
      ( ( $false
        = ( sK4 @ X1 ) )
      | ( $false
        = ( sK3 @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f38]) ).

thf(f38,plain,
    ! [X1: a] :
      ( $false
      = ( ( sK4 @ X1 )
        & ( sK3 @ X1 ) ) ),
    inference(beta_eta_normalization,[],[f37]) ).

thf(f37,plain,
    ! [X1: a] :
      ( ( ^ [Y0: a] : $false
        @ X1 )
      = ( ^ [Y0: a] :
            ( ( sK4 @ Y0 )
            & ( sK3 @ Y0 ) )
        @ X1 ) ),
    inference(argument_congruence,[],[f28]) ).

thf(f20,plain,
    ! [X1: a] :
      ( ( $true
        = ( sK3 @ X1 ) )
      | ( $false
        = ( sK2 @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f19]) ).

thf(f19,plain,
    ! [X1: a] :
      ( $true
      = ( ( sK2 @ X1 )
       => ( sK3 @ X1 ) ) ),
    inference(beta_eta_normalization,[],[f18]) ).

thf(f18,plain,
    ! [X1: a] :
      ( ( ^ [Y0: a] :
            ( ( sK2 @ Y0 )
           => ( sK3 @ Y0 ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f16]) ).

thf(f16,plain,
    ( $true
    = ( !! @ a
      @ ^ [Y0: a] :
          ( ( sK2 @ Y0 )
         => ( sK3 @ Y0 ) ) ) ),
    inference(binary_proxy_clausification,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SEV417^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % 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
% 0.16/0.36  % Computer : n025.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 12:42:13 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a TH0_THM_EQU_NAR problem
% 0.16/0.36  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/sandbox/tmp/tmp.zH90LN5C7F/Vampire---4.8_31569
% 0.16/0.38  % (31789)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 (3000ds/27Mi)
% 0.16/0.38  % (31787)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.16/0.38  % (31788)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 (3000ds/4Mi)
% 0.16/0.38  % (31792)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 (3000ds/275Mi)
% 0.16/0.38  % (31790)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.16/0.38  % (31793)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.16/0.38  % (31790)Instruction limit reached!
% 0.16/0.38  % (31790)------------------------------
% 0.16/0.38  % (31790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (31790)Termination reason: Unknown
% 0.16/0.38  % (31790)Termination phase: Saturation
% 0.16/0.38  
% 0.16/0.38  % (31790)Memory used [KB]: 5500
% 0.16/0.38  % (31790)Time elapsed: 0.004 s
% 0.16/0.38  % (31790)Instructions burned: 2 (million)
% 0.16/0.38  % (31790)------------------------------
% 0.16/0.38  % (31790)------------------------------
% 0.16/0.38  % (31789)Refutation not found, incomplete strategy
% 0.16/0.38  % (31789)------------------------------
% 0.16/0.38  % (31789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (31789)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.38  
% 0.16/0.38  
% 0.16/0.38  % (31789)Memory used [KB]: 5500
% 0.16/0.38  % (31789)Time elapsed: 0.004 s
% 0.16/0.38  % (31789)Instructions burned: 2 (million)
% 0.16/0.38  % (31789)------------------------------
% 0.16/0.38  % (31789)------------------------------
% 0.16/0.38  % (31788)Instruction limit reached!
% 0.16/0.38  % (31788)------------------------------
% 0.16/0.38  % (31788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (31788)Termination reason: Unknown
% 0.16/0.38  % (31792)Refutation not found, incomplete strategy
% 0.16/0.38  % (31792)------------------------------
% 0.16/0.38  % (31792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (31792)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.38  
% 0.16/0.38  
% 0.16/0.38  % (31792)Memory used [KB]: 5500
% 0.16/0.38  % (31792)Time elapsed: 0.004 s
% 0.16/0.38  % (31792)Instructions burned: 3 (million)
% 0.16/0.38  % (31792)------------------------------
% 0.16/0.38  % (31792)------------------------------
% 0.16/0.38  % (31788)Termination phase: Saturation
% 0.16/0.38  
% 0.16/0.38  % (31788)Memory used [KB]: 5500
% 0.16/0.38  % (31788)Time elapsed: 0.005 s
% 0.16/0.38  % (31788)Instructions burned: 4 (million)
% 0.16/0.38  % (31788)------------------------------
% 0.16/0.38  % (31788)------------------------------
% 0.16/0.38  % (31787)Refutation not found, incomplete strategy
% 0.16/0.38  % (31787)------------------------------
% 0.16/0.38  % (31787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (31793)Refutation not found, incomplete strategy
% 0.16/0.38  % (31793)------------------------------
% 0.16/0.38  % (31793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (31793)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.38  
% 0.16/0.38  
% 0.16/0.38  % (31793)Memory used [KB]: 5500
% 0.16/0.38  % (31793)Time elapsed: 0.004 s
% 0.16/0.38  % (31793)Instructions burned: 2 (million)
% 0.16/0.38  % (31793)------------------------------
% 0.16/0.38  % (31793)------------------------------
% 0.16/0.38  % (31787)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.38  
% 0.16/0.38  
% 0.16/0.38  % (31787)Memory used [KB]: 5500
% 0.16/0.38  % (31787)Time elapsed: 0.005 s
% 0.16/0.38  % (31787)Instructions burned: 3 (million)
% 0.16/0.38  % (31787)------------------------------
% 0.16/0.38  % (31787)------------------------------
% 0.16/0.39  % (31791)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 (3000ds/2Mi)
% 0.16/0.39  % (31791)Instruction limit reached!
% 0.16/0.39  % (31791)------------------------------
% 0.16/0.39  % (31791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (31791)Termination reason: Unknown
% 0.16/0.39  % (31791)Termination phase: Saturation
% 0.16/0.39  
% 0.16/0.39  % (31791)Memory used [KB]: 895
% 0.16/0.39  % (31791)Time elapsed: 0.004 s
% 0.16/0.39  % (31791)Instructions burned: 2 (million)
% 0.16/0.39  % (31791)------------------------------
% 0.16/0.39  % (31791)------------------------------
% 0.16/0.39  % (31794)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 (3000ds/3Mi)
% 0.16/0.40  % (31794)Instruction limit reached!
% 0.16/0.40  % (31794)------------------------------
% 0.16/0.40  % (31794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (31794)Termination reason: Unknown
% 0.16/0.40  % (31794)Termination phase: Saturation
% 0.16/0.40  
% 0.16/0.40  % (31794)Memory used [KB]: 5500
% 0.16/0.40  % (31794)Time elapsed: 0.004 s
% 0.16/0.40  % (31794)Instructions burned: 3 (million)
% 0.16/0.40  % (31794)------------------------------
% 0.16/0.40  % (31794)------------------------------
% 0.16/0.40  % (31795)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.16/0.40  % (31796)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.16/0.40  % (31798)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.16/0.40  % (31799)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.16/0.40  % (31800)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.16/0.40  % (31797)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.16/0.40  % (31795)First to succeed.
% 0.16/0.40  % (31797)Instruction limit reached!
% 0.16/0.40  % (31797)------------------------------
% 0.16/0.40  % (31797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (31797)Termination reason: Unknown
% 0.16/0.40  % (31797)Termination phase: Saturation
% 0.16/0.40  
% 0.16/0.40  % (31797)Memory used [KB]: 5500
% 0.16/0.40  % (31797)Time elapsed: 0.004 s
% 0.16/0.40  % (31797)Instructions burned: 3 (million)
% 0.16/0.40  % (31797)------------------------------
% 0.16/0.40  % (31797)------------------------------
% 0.16/0.40  % (31799)Refutation not found, incomplete strategy
% 0.16/0.40  % (31799)------------------------------
% 0.16/0.40  % (31799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (31799)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.40  
% 0.16/0.40  
% 0.16/0.40  % (31799)Memory used [KB]: 1023
% 0.16/0.40  % (31799)Time elapsed: 0.006 s
% 0.16/0.40  % (31799)Instructions burned: 5 (million)
% 0.16/0.40  % (31799)------------------------------
% 0.16/0.40  % (31799)------------------------------
% 0.16/0.40  % (31796)Refutation not found, incomplete strategy
% 0.16/0.40  % (31796)------------------------------
% 0.16/0.40  % (31796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (31796)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.40  
% 0.16/0.40  
% 0.16/0.40  % (31796)Memory used [KB]: 5628
% 0.16/0.40  % (31796)Time elapsed: 0.007 s
% 0.16/0.40  % (31796)Instructions burned: 7 (million)
% 0.16/0.40  % (31796)------------------------------
% 0.16/0.40  % (31796)------------------------------
% 0.16/0.41  % (31795)Refutation found. Thanks to Tanya!
% 0.16/0.41  % SZS status Theorem for Vampire---4
% 0.16/0.41  % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.41  % (31795)------------------------------
% 0.16/0.41  % (31795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41  % (31795)Termination reason: Refutation
% 0.16/0.41  
% 0.16/0.41  % (31795)Memory used [KB]: 5500
% 0.16/0.41  % (31795)Time elapsed: 0.008 s
% 0.16/0.41  % (31795)Instructions burned: 6 (million)
% 0.16/0.41  % (31795)------------------------------
% 0.16/0.41  % (31795)------------------------------
% 0.16/0.41  % (31786)Success in time 0.023 s
% 0.16/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------