TSTP Solution File: SEV450^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV450^1 : TPTP v8.2.0. Released v7.0.0.
% 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 : n020.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 04:13:49 EDT 2024

% Result   : Theorem 0.12s 0.38s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   61 (  12 unt;   8 typ;   0 def)
%            Number of atoms       :  276 (  69 equ;   0 cnn)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :  318 (  34   ~;  55   |;   0   &; 224   @)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   48 (  48   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   7 con; 0-4 aty)
%            Number of variables   :   75 (   0   ^  66   !;   4   ?;  75   :)
%                                         (   5  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_6,type,
    sK0: $tType ).

thf(func_def_0,type,
    'const/sets/UNION': 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 > $o ) ).

thf(func_def_1,type,
    'const/sets/IN': 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).

thf(func_def_3,type,
    vEPSILON: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_11,type,
    sK1: sK0 > $o ).

thf(func_def_13,type,
    sK3: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_14,type,
    ph4: 
      !>[X0: $tType] : X0 ).

thf(func_def_15,type,
    sK5: sK0 ).

thf(f177,plain,
    $false,
    inference(avatar_sat_refutation,[],[f51,f60,f67,f154,f176]) ).

thf(f176,plain,
    ( spl2_3
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f171,f57,f53]) ).

thf(f53,plain,
    ( spl2_3
  <=> ( $false
      = ( sK1 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

thf(f57,plain,
    ( spl2_4
  <=> ( ( 'const/sets/UNION' @ sK0 @ sK1 @ sK1 @ sK5 )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

thf(f171,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f168]) ).

thf(f168,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ( $true = $false )
    | ~ spl2_4 ),
    inference(superposition,[],[f38,f161]) ).

thf(f161,plain,
    ( ( ( 'const/sets/IN' @ sK0 @ sK5 @ sK1 )
      = $false )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f159]) ).

thf(f159,plain,
    ( ( $true = $false )
    | ( ( 'const/sets/IN' @ sK0 @ sK5 @ sK1 )
      = $false )
    | ~ spl2_4 ),
    inference(superposition,[],[f97,f59]) ).

thf(f59,plain,
    ( ( ( 'const/sets/UNION' @ sK0 @ sK1 @ sK1 @ sK5 )
      = $false )
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f57]) ).

thf(f97,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( $true
        = ( 'const/sets/UNION' @ X0 @ X2 @ X3 @ X1 ) )
      | ( $false
        = ( 'const/sets/IN' @ X0 @ X1 @ X2 ) ) ),
    inference(trivial_inequality_removal,[],[f94]) ).

thf(f94,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( $true = $false )
      | ( $false
        = ( 'const/sets/IN' @ X0 @ X1 @ X2 ) )
      | ( $true
        = ( 'const/sets/UNION' @ X0 @ X2 @ X3 @ X1 ) ) ),
    inference(superposition,[],[f35,f39]) ).

thf(f39,plain,
    ! [X0: $tType,X2: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
        = $false )
      | ( ( X1 @ X2 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f15]) ).

thf(f15,plain,
    ! [X0: $tType,X2: X0,X1: X0 > $o] :
      ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
      = ( X1 @ X2 ) ),
    inference(cnf_transformation,[],[f1]) ).

thf(f1,axiom,
    ! [X0: $tType,X1: X0 > $o,X2: X0] :
      ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
      = ( X1 @ X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/IN_') ).

thf(f35,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( $true
        = ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) ) )
      | ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f34]) ).

thf(f34,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( $true
        = ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) ) )
      | ( ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
          | ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f16]) ).

thf(f16,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
        | ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
      = ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o,X3: X0] :
      ( ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
        | ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
      = ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) ) ),
    inference(fool_elimination,[],[f9]) ).

thf(f9,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0 > $o,X3: X0] :
      ( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) )
        = ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
      | ( 'const/sets/IN' @ X0 @ X3 @ X2 ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X4: X0] :
      ( ( ( 'const/sets/IN' @ X0 @ X4 @ ( 'const/sets/UNION' @ X0 @ X2 @ X3 ) )
        = ( 'const/sets/IN' @ X0 @ X4 @ X2 ) )
      | ( 'const/sets/IN' @ X0 @ X4 @ X3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/IN_UNION_') ).

thf(f38,plain,
    ! [X0: $tType,X2: X0,X1: X0 > $o] :
      ( ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
        = $true )
      | ( ( X1 @ X2 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f15]) ).

thf(f154,plain,
    ( ~ spl2_1
    | ~ spl2_3 ),
    inference(avatar_contradiction_clause,[],[f153]) ).

thf(f153,plain,
    ( $false
    | ~ spl2_1
    | ~ spl2_3 ),
    inference(trivial_inequality_removal,[],[f152]) ).

thf(f152,plain,
    ( ( $true = $false )
    | ~ spl2_1
    | ~ spl2_3 ),
    inference(forward_demodulation,[],[f145,f55]) ).

thf(f55,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f53]) ).

thf(f145,plain,
    ( ( $true
      = ( sK1 @ sK5 ) )
    | ~ spl2_1 ),
    inference(trivial_inequality_removal,[],[f144]) ).

thf(f144,plain,
    ( ( $true = $false )
    | ( $true
      = ( sK1 @ sK5 ) )
    | ~ spl2_1 ),
    inference(superposition,[],[f39,f138]) ).

thf(f138,plain,
    ( ( $true
      = ( 'const/sets/IN' @ sK0 @ sK5 @ sK1 ) )
    | ~ spl2_1 ),
    inference(trivial_inequality_removal,[],[f137]) ).

thf(f137,plain,
    ( ( $true
      = ( 'const/sets/IN' @ sK0 @ sK5 @ sK1 ) )
    | ( $true = $false )
    | ~ spl2_1 ),
    inference(duplicate_literal_removal,[],[f131]) ).

thf(f131,plain,
    ( ( $true
      = ( 'const/sets/IN' @ sK0 @ sK5 @ sK1 ) )
    | ( $true = $false )
    | ( $true
      = ( 'const/sets/IN' @ sK0 @ sK5 @ sK1 ) )
    | ~ spl2_1 ),
    inference(superposition,[],[f46,f63]) ).

thf(f63,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( $false
        = ( 'const/sets/UNION' @ X0 @ X2 @ X3 @ X1 ) )
      | ( ( 'const/sets/IN' @ X0 @ X1 @ X3 )
        = $true )
      | ( $true
        = ( 'const/sets/IN' @ X0 @ X1 @ X2 ) ) ),
    inference(trivial_inequality_removal,[],[f62]) ).

thf(f62,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X1: X0] :
      ( ( ( 'const/sets/IN' @ X0 @ X1 @ X3 )
        = $true )
      | ( $true = $false )
      | ( $false
        = ( 'const/sets/UNION' @ X0 @ X2 @ X3 @ X1 ) )
      | ( $true
        = ( 'const/sets/IN' @ X0 @ X1 @ X2 ) ) ),
    inference(superposition,[],[f37,f38]) ).

thf(f37,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( $false
        = ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) ) )
      | ( $true
        = ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
      | ( $true
        = ( 'const/sets/IN' @ X0 @ X3 @ X2 ) ) ),
    inference(binary_proxy_clausification,[],[f33]) ).

thf(f33,plain,
    ! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
      ( ( ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
          | ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
        = $true )
      | ( $false
        = ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNION' @ X0 @ X1 @ X2 ) ) ) ),
    inference(binary_proxy_clausification,[],[f16]) ).

thf(f46,plain,
    ( ( ( 'const/sets/UNION' @ sK0 @ sK1 @ sK1 @ sK5 )
      = $true )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f44]) ).

thf(f44,plain,
    ( spl2_1
  <=> ( ( 'const/sets/UNION' @ sK0 @ sK1 @ sK1 @ sK5 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

thf(f67,plain,
    ( ~ spl2_2
    | ~ spl2_3 ),
    inference(avatar_contradiction_clause,[],[f66]) ).

thf(f66,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(trivial_inequality_removal,[],[f65]) ).

thf(f65,plain,
    ( ( $true = $false )
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(backward_demodulation,[],[f50,f55]) ).

thf(f50,plain,
    ( ( $true
      = ( sK1 @ sK5 ) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f48]) ).

thf(f48,plain,
    ( spl2_2
  <=> ( $true
      = ( sK1 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

thf(f60,plain,
    ( spl2_3
    | spl2_4 ),
    inference(avatar_split_clause,[],[f42,f57,f53]) ).

thf(f42,plain,
    ( ( ( 'const/sets/UNION' @ sK0 @ sK1 @ sK1 @ sK5 )
      = $false )
    | ( $false
      = ( sK1 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f40]) ).

thf(f40,plain,
    ( ( 'const/sets/UNION' @ sK0 @ sK1 @ sK1 @ sK5 )
   != ( sK1 @ sK5 ) ),
    inference(negative_extensionality,[],[f17]) ).

thf(f17,plain,
    ( sK1
   != ( 'const/sets/UNION' @ sK0 @ sK1 @ sK1 ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ( sK1
   != ( 'const/sets/UNION' @ sK0 @ sK1 @ sK1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f12,f13]) ).

thf(f13,plain,
    ( ? [X0: $tType,X1: X0 > $o] :
        ( ( 'const/sets/UNION' @ X0 @ X1 @ X1 )
       != X1 )
   => ( sK1
     != ( 'const/sets/UNION' @ sK0 @ sK1 @ sK1 ) ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ? [X0: $tType,X1: X0 > $o] :
      ( ( 'const/sets/UNION' @ X0 @ X1 @ X1 )
     != X1 ),
    inference(ennf_transformation,[],[f11]) ).

thf(f11,plain,
    ~ ! [X0: $tType,X1: X0 > $o] :
        ( ( 'const/sets/UNION' @ X0 @ X1 @ X1 )
        = X1 ),
    inference(rectify,[],[f5]) ).

thf(f5,negated_conjecture,
    ~ ! [X0: $tType,X2: X0 > $o] :
        ( ( 'const/sets/UNION' @ X0 @ X2 @ X2 )
        = X2 ),
    inference(negated_conjecture,[],[f4]) ).

thf(f4,conjecture,
    ! [X0: $tType,X2: X0 > $o] :
      ( ( 'const/sets/UNION' @ X0 @ X2 @ X2 )
      = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/UNION_IDEMPOT_') ).

thf(f51,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f41,f48,f44]) ).

thf(f41,plain,
    ( ( $true
      = ( sK1 @ sK5 ) )
    | ( ( 'const/sets/UNION' @ sK0 @ sK1 @ sK1 @ sK5 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SEV450^1 : TPTP v8.2.0. Released v7.0.0.
% 0.06/0.13  % 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
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun May 19 19:12:53 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a TH1_THM_EQU_NAR problem
% 0.12/0.34  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
% 0.12/0.36  % (15555)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.36  % (15549)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.36  % (15550)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)
% 0.12/0.36  % (15552)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.36  % (15551)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 (2999ds/27Mi)
% 0.12/0.36  % (15553)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)
% 0.12/0.36  % (15554)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)
% 0.12/0.36  % (15556)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)
% 0.12/0.36  % (15552)Instruction limit reached!
% 0.12/0.36  % (15552)------------------------------
% 0.12/0.36  % (15552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (15553)Instruction limit reached!
% 0.12/0.36  % (15553)------------------------------
% 0.12/0.36  % (15553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (15553)Termination reason: Unknown
% 0.12/0.36  % (15553)Termination phase: shuffling
% 0.12/0.36  
% 0.12/0.36  % (15553)Memory used [KB]: 895
% 0.12/0.36  % (15553)Time elapsed: 0.002 s
% 0.12/0.36  % (15553)Instructions burned: 2 (million)
% 0.12/0.36  % (15553)------------------------------
% 0.12/0.36  % (15553)------------------------------
% 0.12/0.36  % (15552)Termination reason: Unknown
% 0.12/0.36  % (15552)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (15552)Memory used [KB]: 895
% 0.12/0.36  % (15552)Time elapsed: 0.003 s
% 0.12/0.36  % (15552)Instructions burned: 2 (million)
% 0.12/0.36  % (15552)------------------------------
% 0.12/0.36  % (15552)------------------------------
% 0.12/0.36  % (15550)Instruction limit reached!
% 0.12/0.36  % (15550)------------------------------
% 0.12/0.36  % (15550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (15554)Refutation not found, incomplete strategy
% 0.12/0.36  % (15554)------------------------------
% 0.12/0.36  % (15554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (15554)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  % (15554)Memory used [KB]: 5500
% 0.12/0.36  % (15554)Time elapsed: 0.003 s
% 0.12/0.36  % (15554)Instructions burned: 3 (million)
% 0.12/0.36  % (15554)------------------------------
% 0.12/0.36  % (15554)------------------------------
% 0.12/0.36  % (15550)Termination reason: Unknown
% 0.12/0.36  % (15550)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (15550)Memory used [KB]: 5500
% 0.12/0.36  % (15550)Time elapsed: 0.005 s
% 0.12/0.36  % (15550)Instructions burned: 5 (million)
% 0.12/0.36  % (15550)------------------------------
% 0.12/0.36  % (15550)------------------------------
% 0.12/0.36  % (15556)Instruction limit reached!
% 0.12/0.36  % (15556)------------------------------
% 0.12/0.36  % (15556)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (15556)Termination reason: Unknown
% 0.12/0.36  % (15556)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (15556)Memory used [KB]: 5500
% 0.12/0.36  % (15556)Time elapsed: 0.005 s
% 0.12/0.36  % (15556)Instructions burned: 4 (million)
% 0.12/0.36  % (15556)------------------------------
% 0.12/0.36  % (15556)------------------------------
% 0.12/0.37  % (15555)Instruction limit reached!
% 0.12/0.37  % (15555)------------------------------
% 0.12/0.37  % (15555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37  % (15555)Termination reason: Unknown
% 0.12/0.37  % (15555)Termination phase: Saturation
% 0.12/0.37  
% 0.12/0.37  % (15555)Memory used [KB]: 5628
% 0.12/0.37  % (15555)Time elapsed: 0.012 s
% 0.12/0.37  % (15555)Instructions burned: 18 (million)
% 0.12/0.37  % (15555)------------------------------
% 0.12/0.37  % (15555)------------------------------
% 0.12/0.37  % (15551)First to succeed.
% 0.12/0.37  % (15557)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 theBenchmark for (2999ds/37Mi)
% 0.12/0.38  % (15551)Refutation found. Thanks to Tanya!
% 0.12/0.38  % SZS status Theorem for theBenchmark
% 0.12/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.38  % (15551)------------------------------
% 0.12/0.38  % (15551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38  % (15551)Termination reason: Refutation
% 0.12/0.38  
% 0.12/0.38  % (15551)Memory used [KB]: 5628
% 0.12/0.38  % (15551)Time elapsed: 0.017 s
% 0.12/0.38  % (15551)Instructions burned: 20 (million)
% 0.12/0.38  % (15551)------------------------------
% 0.12/0.38  % (15551)------------------------------
% 0.12/0.38  % (15548)Success in time 0.029 s
% 0.12/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------