TSTP Solution File: SET614^3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET614^3 : TPTP v8.2.0. Released v3.6.0.
% 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 : n010.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 03:12:26 EDT 2024

% Result   : Theorem 0.22s 0.39s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   70 (  24 unt;  18 typ;   0 def)
%            Number of atoms       :  490 (  97 equ;   0 cnn)
%            Maximal formula atoms :    5 (   9 avg)
%            Number of connectives :  389 (  55   ~;  72   |;  34   &; 227   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   93 (  93   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  19 usr;   3 con; 0-3 aty)
%            Number of variables   :   56 (  40   ^   9   !;   6   ?;  56   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

thf(func_def_2,type,
    is_a: $i > ( $i > $o ) > $o ).

thf(func_def_3,type,
    emptyset: $i > $o ).

thf(func_def_4,type,
    unord_pair: $i > $i > $i > $o ).

thf(func_def_5,type,
    singleton: $i > $i > $o ).

thf(func_def_6,type,
    union: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_7,type,
    excl_union: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_8,type,
    intersection: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_9,type,
    setminus: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_10,type,
    complement: ( $i > $o ) > $i > $o ).

thf(func_def_11,type,
    disjoint: ( $i > $o ) > ( $i > $o ) > $o ).

thf(func_def_12,type,
    subset: ( $i > $o ) > ( $i > $o ) > $o ).

thf(func_def_13,type,
    meets: ( $i > $o ) > ( $i > $o ) > $o ).

thf(func_def_14,type,
    misses: ( $i > $o ) > ( $i > $o ) > $o ).

thf(func_def_28,type,
    sK0: $i > $o ).

thf(func_def_29,type,
    sK1: $i > $o ).

thf(func_def_30,type,
    sK2: $i > $o ).

thf(func_def_32,type,
    ph4: 
      !>[X0: $tType] : X0 ).

thf(f96,plain,
    $false,
    inference(trivial_inequality_removal,[],[f94]) ).

thf(f94,plain,
    $true = $false,
    inference(superposition,[],[f71,f93]) ).

thf(f93,plain,
    ( $false
    = ( sK0 @ sK5 ) ),
    inference(trivial_inequality_removal,[],[f92]) ).

thf(f92,plain,
    ( ( $true = $false )
    | ( $false
      = ( sK0 @ sK5 ) ) ),
    inference(forward_demodulation,[],[f91,f82]) ).

thf(f82,plain,
    ( ( sK1 @ sK5 )
    = $false ),
    inference(duplicate_literal_removal,[],[f81]) ).

thf(f81,plain,
    ( ( ( sK1 @ sK5 )
      = $false )
    | ( ( sK1 @ sK5 )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f79]) ).

thf(f79,plain,
    ( ( ( sK1 @ sK5 )
      = $false )
    | ( $false
      = ( ( sK1 @ sK5 )
        | ( sK2 @ sK5 ) ) ) ),
    inference(not_proxy_clausification,[],[f78]) ).

thf(f78,plain,
    ( ( ( sK1 @ sK5 )
      = $false )
    | ( $true
      = ( ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) ) ) ),
    inference(not_proxy_clausification,[],[f75]) ).

thf(f75,plain,
    ( ( ( ~ ( sK1 @ sK5 ) )
      = $true )
    | ( $true
      = ( ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f67]) ).

thf(f67,plain,
    ( ( ( ( sK0 @ sK5 )
        & ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) )
      = $true )
    | ( ( ~ ( sK1 @ sK5 ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f66]) ).

thf(f66,plain,
    ( ( ( ( sK0 @ sK5 )
        & ~ ( sK1 @ sK5 ) )
      = $true )
    | ( ( ( sK0 @ sK5 )
        & ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f54]) ).

thf(f54,plain,
    ( ( $true
      = ( ( sK0 @ sK5 )
        & ~ ( sK1 @ sK5 )
        & ~ ( sK2 @ sK5 ) ) )
    | ( ( ( sK0 @ sK5 )
        & ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f53]) ).

thf(f53,plain,
    ( ( ( sK0 @ sK5 )
      & ~ ( ( sK1 @ sK5 )
          | ( sK2 @ sK5 ) ) )
   != ( ( sK0 @ sK5 )
      & ~ ( sK1 @ sK5 )
      & ~ ( sK2 @ sK5 ) ) ),
    inference(beta_eta_normalization,[],[f52]) ).

thf(f52,plain,
    ( ( ^ [Y0: $i] :
          ( ( sK0 @ Y0 )
          & ~ ( ( sK1 @ Y0 )
              | ( sK2 @ Y0 ) ) )
      @ sK5 )
   != ( ^ [Y0: $i] :
          ( ( sK0 @ Y0 )
          & ~ ( sK1 @ Y0 )
          & ~ ( sK2 @ Y0 ) )
      @ sK5 ) ),
    inference(negative_extensionality,[],[f51]) ).

thf(f51,plain,
    ( ( ^ [Y0: $i] :
          ( ( sK0 @ Y0 )
          & ~ ( sK1 @ Y0 )
          & ~ ( sK2 @ Y0 ) ) )
   != ( ^ [Y0: $i] :
          ( ( sK0 @ Y0 )
          & ~ ( ( sK1 @ Y0 )
              | ( sK2 @ Y0 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f50]) ).

thf(f50,plain,
    ( ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          & ~ ( Y1 @ Y2 ) )
      @ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
            ( ( Y0 @ Y2 )
            & ~ ( Y1 @ Y2 ) )
        @ sK0
        @ sK1 )
      @ sK2 )
   != ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          & ~ ( Y1 @ Y2 ) )
      @ sK0
      @ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
            ( ( Y0 @ Y2 )
            | ( Y1 @ Y2 ) )
        @ sK1
        @ sK2 ) ) ),
    inference(definition_unfolding,[],[f47,f49,f48,f49,f49]) ).

thf(f48,plain,
    ( union
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f27]) ).

thf(f27,plain,
    ( union
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f26]) ).

thf(f26,plain,
    ( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X1 @ X2 )
          | ( X0 @ X2 ) ) )
    = union ),
    inference(rectify,[],[f6]) ).

thf(f6,axiom,
    ( ( ^ [X0: $i > $o,X2: $i > $o,X3: $i] :
          ( ( X2 @ X3 )
          | ( X0 @ X3 ) ) )
    = union ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).

thf(f49,plain,
    ( setminus
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          & ~ ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f36]) ).

thf(f36,plain,
    ( setminus
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          & ~ ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f35]) ).

thf(f35,plain,
    ( setminus
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ~ ( X1 @ X2 )
          & ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f9]) ).

thf(f9,axiom,
    ( setminus
    = ( ^ [X0: $i > $o,X2: $i > $o,X3: $i] :
          ( ~ ( X2 @ X3 )
          & ( X0 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminus) ).

thf(f47,plain,
    ( ( setminus @ sK0 @ ( union @ sK1 @ sK2 ) )
   != ( setminus @ ( setminus @ sK0 @ sK1 ) @ sK2 ) ),
    inference(cnf_transformation,[],[f46]) ).

thf(f46,plain,
    ( ( setminus @ sK0 @ ( union @ sK1 @ sK2 ) )
   != ( setminus @ ( setminus @ sK0 @ sK1 ) @ sK2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f44,f45]) ).

thf(f45,plain,
    ( ? [X0: $i > $o,X1: $i > $o,X2: $i > $o] :
        ( ( setminus @ ( setminus @ X0 @ X1 ) @ X2 )
       != ( setminus @ X0 @ ( union @ X1 @ X2 ) ) )
   => ( ( setminus @ sK0 @ ( union @ sK1 @ sK2 ) )
     != ( setminus @ ( setminus @ sK0 @ sK1 ) @ sK2 ) ) ),
    introduced(choice_axiom,[]) ).

thf(f44,plain,
    ? [X0: $i > $o,X1: $i > $o,X2: $i > $o] :
      ( ( setminus @ ( setminus @ X0 @ X1 ) @ X2 )
     != ( setminus @ X0 @ ( union @ X1 @ X2 ) ) ),
    inference(ennf_transformation,[],[f43]) ).

thf(f43,plain,
    ~ ! [X0: $i > $o,X1: $i > $o,X2: $i > $o] :
        ( ( setminus @ ( setminus @ X0 @ X1 ) @ X2 )
        = ( setminus @ X0 @ ( union @ X1 @ X2 ) ) ),
    inference(rectify,[],[f16]) ).

thf(f16,negated_conjecture,
    ~ ! [X0: $i > $o,X2: $i > $o,X4: $i > $o] :
        ( ( setminus @ ( setminus @ X0 @ X2 ) @ X4 )
        = ( setminus @ X0 @ ( union @ X2 @ X4 ) ) ),
    inference(negated_conjecture,[],[f15]) ).

thf(f15,conjecture,
    ! [X0: $i > $o,X2: $i > $o,X4: $i > $o] :
      ( ( setminus @ ( setminus @ X0 @ X2 ) @ X4 )
      = ( setminus @ X0 @ ( union @ X2 @ X4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).

thf(f91,plain,
    ( ( ( sK1 @ sK5 )
      = $true )
    | ( $false
      = ( sK0 @ sK5 ) ) ),
    inference(trivial_inequality_removal,[],[f90]) ).

thf(f90,plain,
    ( ( $true = $false )
    | ( ( sK1 @ sK5 )
      = $true )
    | ( $false
      = ( sK0 @ sK5 ) ) ),
    inference(forward_demodulation,[],[f64,f89]) ).

thf(f89,plain,
    ( $false
    = ( sK2 @ sK5 ) ),
    inference(duplicate_literal_removal,[],[f87]) ).

thf(f87,plain,
    ( ( $false
      = ( sK2 @ sK5 ) )
    | ( $false
      = ( sK2 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f86]) ).

thf(f86,plain,
    ( ( $false
      = ( ( sK1 @ sK5 )
        | ( sK2 @ sK5 ) ) )
    | ( $false
      = ( sK2 @ sK5 ) ) ),
    inference(not_proxy_clausification,[],[f84]) ).

thf(f84,plain,
    ( ( $true
      = ( ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) ) )
    | ( $false
      = ( sK2 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f83]) ).

thf(f83,plain,
    ( ( $false
      = ( sK2 @ sK5 ) )
    | ( ( ( sK0 @ sK5 )
        & ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) )
      = $true ) ),
    inference(not_proxy_clausification,[],[f65]) ).

thf(f65,plain,
    ( ( ( ~ ( sK2 @ sK5 ) )
      = $true )
    | ( ( ( sK0 @ sK5 )
        & ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f54]) ).

thf(f64,plain,
    ( ( $true
      = ( sK2 @ sK5 ) )
    | ( ( sK1 @ sK5 )
      = $true )
    | ( $false
      = ( sK0 @ sK5 ) ) ),
    inference(duplicate_literal_removal,[],[f63]) ).

thf(f63,plain,
    ( ( $false
      = ( sK0 @ sK5 ) )
    | ( $true
      = ( sK2 @ sK5 ) )
    | ( ( sK1 @ sK5 )
      = $true )
    | ( $true
      = ( sK2 @ sK5 ) )
    | ( ( sK1 @ sK5 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f62]) ).

thf(f62,plain,
    ( ( ( sK1 @ sK5 )
      = $true )
    | ( $true
      = ( sK2 @ sK5 ) )
    | ( $false
      = ( sK0 @ sK5 ) )
    | ( $true
      = ( ( sK1 @ sK5 )
        | ( sK2 @ sK5 ) ) ) ),
    inference(not_proxy_clausification,[],[f61]) ).

thf(f61,plain,
    ( ( $false
      = ( sK0 @ sK5 ) )
    | ( ( sK1 @ sK5 )
      = $true )
    | ( $false
      = ( ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) ) )
    | ( $true
      = ( sK2 @ sK5 ) ) ),
    inference(duplicate_literal_removal,[],[f60]) ).

thf(f60,plain,
    ( ( $false
      = ( sK0 @ sK5 ) )
    | ( $true
      = ( sK2 @ sK5 ) )
    | ( ( sK1 @ sK5 )
      = $true )
    | ( $false
      = ( sK0 @ sK5 ) )
    | ( $false
      = ( ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f59]) ).

thf(f59,plain,
    ( ( $true
      = ( sK2 @ sK5 ) )
    | ( ( ( sK0 @ sK5 )
        & ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) )
      = $false )
    | ( $false
      = ( sK0 @ sK5 ) )
    | ( ( sK1 @ sK5 )
      = $true ) ),
    inference(not_proxy_clausification,[],[f58]) ).

thf(f58,plain,
    ( ( ( ~ ( sK1 @ sK5 ) )
      = $false )
    | ( ( ( sK0 @ sK5 )
        & ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) )
      = $false )
    | ( $false
      = ( sK0 @ sK5 ) )
    | ( $true
      = ( sK2 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f57]) ).

thf(f57,plain,
    ( ( ( ( sK0 @ sK5 )
        & ~ ( sK1 @ sK5 ) )
      = $false )
    | ( $true
      = ( sK2 @ sK5 ) )
    | ( ( ( sK0 @ sK5 )
        & ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) )
      = $false ) ),
    inference(not_proxy_clausification,[],[f56]) ).

thf(f56,plain,
    ( ( ( ~ ( sK2 @ sK5 ) )
      = $false )
    | ( ( ( sK0 @ sK5 )
        & ~ ( sK1 @ sK5 ) )
      = $false )
    | ( ( ( sK0 @ sK5 )
        & ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f55]) ).

thf(f55,plain,
    ( ( $false
      = ( ( sK0 @ sK5 )
        & ~ ( sK1 @ sK5 )
        & ~ ( sK2 @ sK5 ) ) )
    | ( ( ( sK0 @ sK5 )
        & ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f53]) ).

thf(f71,plain,
    ( $true
    = ( sK0 @ sK5 ) ),
    inference(duplicate_literal_removal,[],[f70]) ).

thf(f70,plain,
    ( ( $true
      = ( sK0 @ sK5 ) )
    | ( $true
      = ( sK0 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f68]) ).

thf(f68,plain,
    ( ( $true
      = ( sK0 @ sK5 ) )
    | ( ( ( sK0 @ sK5 )
        & ~ ( ( sK1 @ sK5 )
            | ( sK2 @ sK5 ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET614^3 : TPTP v8.2.0. Released v3.6.0.
% 0.14/0.15  % 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
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 20 13:17:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.22/0.36  This is a TH0_THM_EQU_NAR problem
% 0.22/0.36  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/benchmark/theBenchmark.p
% 0.22/0.38  % (6125)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 (2999ds/4Mi)
% 0.22/0.38  % (6124)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.38  % (6127)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38  % (6128)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 (2999ds/2Mi)
% 0.22/0.38  % (6129)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 (2999ds/275Mi)
% 0.22/0.38  % (6130)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.38  % (6131)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.38  % (6127)Instruction limit reached!
% 0.22/0.38  % (6127)------------------------------
% 0.22/0.38  % (6127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (6127)Termination reason: Unknown
% 0.22/0.38  % (6127)Termination phase: shuffling
% 0.22/0.38  % (6128)Instruction limit reached!
% 0.22/0.38  % (6128)------------------------------
% 0.22/0.38  % (6128)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (6128)Termination reason: Unknown
% 0.22/0.38  % (6128)Termination phase: shuffling
% 0.22/0.38  
% 0.22/0.38  % (6128)Memory used [KB]: 895
% 0.22/0.38  % (6128)Time elapsed: 0.003 s
% 0.22/0.38  % (6128)Instructions burned: 2 (million)
% 0.22/0.38  % (6128)------------------------------
% 0.22/0.38  % (6128)------------------------------
% 0.22/0.38  
% 0.22/0.38  % (6127)Memory used [KB]: 895
% 0.22/0.38  % (6127)Time elapsed: 0.003 s
% 0.22/0.38  % (6127)Instructions burned: 2 (million)
% 0.22/0.38  % (6127)------------------------------
% 0.22/0.38  % (6127)------------------------------
% 0.22/0.38  % (6131)Instruction limit reached!
% 0.22/0.38  % (6131)------------------------------
% 0.22/0.38  % (6131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (6131)Termination reason: Unknown
% 0.22/0.38  % (6131)Termination phase: Property scanning
% 0.22/0.38  
% 0.22/0.38  % (6131)Memory used [KB]: 1023
% 0.22/0.38  % (6131)Time elapsed: 0.004 s
% 0.22/0.38  % (6131)Instructions burned: 3 (million)
% 0.22/0.38  % (6131)------------------------------
% 0.22/0.38  % (6131)------------------------------
% 0.22/0.38  % (6125)Instruction limit reached!
% 0.22/0.38  % (6125)------------------------------
% 0.22/0.38  % (6125)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (6125)Termination reason: Unknown
% 0.22/0.38  % (6125)Termination phase: Saturation
% 0.22/0.38  
% 0.22/0.38  % (6125)Memory used [KB]: 5500
% 0.22/0.38  % (6125)Time elapsed: 0.005 s
% 0.22/0.38  % (6125)Instructions burned: 4 (million)
% 0.22/0.38  % (6125)------------------------------
% 0.22/0.38  % (6125)------------------------------
% 0.22/0.38  % (6129)First to succeed.
% 0.22/0.39  % (6124)Also succeeded, but the first one will report.
% 0.22/0.39  % (6129)Refutation found. Thanks to Tanya!
% 0.22/0.39  % SZS status Theorem for theBenchmark
% 0.22/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39  % (6129)------------------------------
% 0.22/0.39  % (6129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (6129)Termination reason: Refutation
% 0.22/0.39  
% 0.22/0.39  % (6129)Memory used [KB]: 5500
% 0.22/0.39  % (6129)Time elapsed: 0.007 s
% 0.22/0.39  % (6129)Instructions burned: 4 (million)
% 0.22/0.39  % (6129)------------------------------
% 0.22/0.39  % (6129)------------------------------
% 0.22/0.39  % (6123)Success in time 0.018 s
% 0.22/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------