TSTP Solution File: SET144^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET144^5 : 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 : n017.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 09:04:21 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   72 (   7 unt;   8 typ;   0 def)
%            Number of atoms       :  381 ( 100 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  399 (  48   ~; 110   |;  40   &; 186   @)
%                                         (   6 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   23 (  23   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   49 (  20   ^  21   !;   6   ?;  49   :)
%                                         (   2  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_2,type,
    vEPSILON: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_9,type,
    sK0: a > $o ).

thf(func_def_10,type,
    sK1: a > $o ).

thf(func_def_11,type,
    sK2: a > $o ).

thf(func_def_13,type,
    ph4: 
      !>[X0: $tType] : X0 ).

thf(func_def_14,type,
    sK5: a ).

thf(f91,plain,
    $false,
    inference(avatar_sat_refutation,[],[f47,f54,f68,f69,f73,f79,f83,f90]) ).

thf(f90,plain,
    ( ~ spl3_1
    | ~ spl3_6 ),
    inference(avatar_contradiction_clause,[],[f89]) ).

thf(f89,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_6 ),
    inference(trivial_inequality_removal,[],[f87]) ).

thf(f87,plain,
    ( ( $true = $false )
    | ~ spl3_1
    | ~ spl3_6 ),
    inference(backward_demodulation,[],[f42,f66]) ).

thf(f66,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f64]) ).

thf(f64,plain,
    ( spl3_6
  <=> ( $false
      = ( sK1 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

thf(f42,plain,
    ( ( $true
      = ( sK1 @ sK5 ) )
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f40]) ).

thf(f40,plain,
    ( spl3_1
  <=> ( $true
      = ( sK1 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

thf(f83,plain,
    ( ~ spl3_2
    | ~ spl3_5 ),
    inference(avatar_contradiction_clause,[],[f82]) ).

thf(f82,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_5 ),
    inference(trivial_inequality_removal,[],[f81]) ).

thf(f81,plain,
    ( ( $true = $false )
    | ~ spl3_2
    | ~ spl3_5 ),
    inference(backward_demodulation,[],[f46,f62]) ).

thf(f62,plain,
    ( ( ( sK2 @ sK5 )
      = $false )
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f60]) ).

thf(f60,plain,
    ( spl3_5
  <=> ( ( sK2 @ sK5 )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

thf(f46,plain,
    ( ( ( sK2 @ sK5 )
      = $true )
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f44]) ).

thf(f44,plain,
    ( spl3_2
  <=> ( ( sK2 @ sK5 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

thf(f79,plain,
    ( ~ spl3_1
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f78]) ).

thf(f78,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_4 ),
    inference(trivial_inequality_removal,[],[f77]) ).

thf(f77,plain,
    ( ( $true = $false )
    | ~ spl3_1
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f76,f58]) ).

thf(f58,plain,
    ( ( ( sK0 @ sK5 )
      = $false )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f56]) ).

thf(f56,plain,
    ( spl3_4
  <=> ( ( sK0 @ sK5 )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

thf(f76,plain,
    ( ( $true
      = ( sK0 @ sK5 ) )
    | ~ spl3_1 ),
    inference(trivial_inequality_removal,[],[f75]) ).

thf(f75,plain,
    ( ( $true
      = ( sK0 @ sK5 ) )
    | ( $true != $true )
    | ~ spl3_1 ),
    inference(superposition,[],[f10,f42]) ).

thf(f10,plain,
    ! [X3: a] :
      ( ( $true
       != ( sK1 @ X3 ) )
      | ( ( sK0 @ X3 )
        = $true ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f8,plain,
    ( ! [X3: a] :
        ( ( $true
         != ( sK1 @ X3 ) )
        | ( ( sK0 @ X3 )
          = $true ) )
    & ( ( ^ [Y0: a] :
            ( ( ( sK0 @ Y0 )
              & ( sK2 @ Y0 ) )
            | ( sK1 @ Y0 ) ) )
     != ( ^ [Y0: a] :
            ( ( sK0 @ Y0 )
            & ( ( sK1 @ Y0 )
              | ( sK2 @ Y0 ) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f7]) ).

thf(f7,plain,
    ( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ! [X3: a] :
            ( ( ( X1 @ X3 )
             != $true )
            | ( ( X0 @ X3 )
              = $true ) )
        & ( ( ^ [Y0: a] :
                ( ( ( X0 @ Y0 )
                  & ( X2 @ Y0 ) )
                | ( X1 @ Y0 ) ) )
         != ( ^ [Y0: a] :
                ( ( X0 @ Y0 )
                & ( ( X1 @ Y0 )
                  | ( X2 @ Y0 ) ) ) ) ) )
   => ( ! [X3: a] :
          ( ( $true
           != ( sK1 @ X3 ) )
          | ( ( sK0 @ X3 )
            = $true ) )
      & ( ( ^ [Y0: a] :
              ( ( ( sK0 @ Y0 )
                & ( sK2 @ Y0 ) )
              | ( sK1 @ Y0 ) ) )
       != ( ^ [Y0: a] :
              ( ( sK0 @ Y0 )
              & ( ( sK1 @ Y0 )
                | ( sK2 @ Y0 ) ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f6,plain,
    ? [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ! [X3: a] :
          ( ( ( X1 @ X3 )
           != $true )
          | ( ( X0 @ X3 )
            = $true ) )
      & ( ( ^ [Y0: a] :
              ( ( ( X0 @ Y0 )
                & ( X2 @ Y0 ) )
              | ( X1 @ Y0 ) ) )
       != ( ^ [Y0: a] :
              ( ( X0 @ Y0 )
              & ( ( X1 @ Y0 )
                | ( X2 @ Y0 ) ) ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ! [X3: a] :
            ( ( ( X1 @ X3 )
              = $true )
           => ( ( X0 @ X3 )
              = $true ) )
       => ( ( ^ [Y0: a] :
                ( ( ( X0 @ Y0 )
                  & ( X2 @ Y0 ) )
                | ( X1 @ Y0 ) ) )
          = ( ^ [Y0: a] :
                ( ( X0 @ Y0 )
                & ( ( X1 @ Y0 )
                  | ( X2 @ Y0 ) ) ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

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

thf(f2,negated_conjecture,
    ~ ! [X2: a > $o,X0: a > $o,X1: a > $o] :
        ( ! [X3: a] :
            ( ( X0 @ X3 )
           => ( X2 @ X3 ) )
       => ( ( ^ [X4: a] :
                ( ( X0 @ X4 )
                | ( ( X1 @ X4 )
                  & ( X2 @ X4 ) ) ) )
          = ( ^ [X3: a] :
                ( ( ( X1 @ X3 )
                  | ( X0 @ X3 ) )
                & ( X2 @ X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ! [X2: a > $o,X0: a > $o,X1: a > $o] :
      ( ! [X3: a] :
          ( ( X0 @ X3 )
         => ( X2 @ X3 ) )
     => ( ( ^ [X4: a] :
              ( ( X0 @ X4 )
              | ( ( X1 @ X4 )
                & ( X2 @ X4 ) ) ) )
        = ( ^ [X3: a] :
              ( ( ( X1 @ X3 )
                | ( X0 @ X3 ) )
              & ( X2 @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BoBof3NTrW/Vampire---4.8_26059',cBOOL_PROP_44_pme) ).

thf(f73,plain,
    ( ~ spl3_3
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f72]) ).

thf(f72,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_4 ),
    inference(trivial_inequality_removal,[],[f71]) ).

thf(f71,plain,
    ( ( $true = $false )
    | ~ spl3_3
    | ~ spl3_4 ),
    inference(backward_demodulation,[],[f51,f58]) ).

thf(f51,plain,
    ( ( $true
      = ( sK0 @ sK5 ) )
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f49]) ).

thf(f49,plain,
    ( spl3_3
  <=> ( $true
      = ( sK0 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

thf(f69,plain,
    ( spl3_4
    | spl3_5 ),
    inference(avatar_split_clause,[],[f22,f60,f56]) ).

thf(f22,plain,
    ( ( ( sK2 @ sK5 )
      = $false )
    | ( ( sK0 @ sK5 )
      = $false ) ),
    inference(duplicate_literal_removal,[],[f20]) ).

thf(f20,plain,
    ( ( ( sK0 @ sK5 )
      = $false )
    | ( ( sK2 @ sK5 )
      = $false )
    | ( ( sK2 @ sK5 )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f19]) ).

thf(f19,plain,
    ( ( ( sK0 @ sK5 )
      = $false )
    | ( ( ( sK1 @ sK5 )
        | ( sK2 @ sK5 ) )
      = $false )
    | ( ( sK2 @ sK5 )
      = $false ) ),
    inference(duplicate_literal_removal,[],[f18]) ).

thf(f18,plain,
    ( ( ( sK2 @ sK5 )
      = $false )
    | ( ( sK0 @ sK5 )
      = $false )
    | ( ( sK0 @ sK5 )
      = $false )
    | ( ( ( sK1 @ sK5 )
        | ( sK2 @ sK5 ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f17]) ).

thf(f17,plain,
    ( ( ( sK0 @ sK5 )
      = $false )
    | ( ( ( sK0 @ sK5 )
        & ( sK2 @ sK5 ) )
      = $false )
    | ( ( ( sK1 @ sK5 )
        | ( sK2 @ sK5 ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f16]) ).

thf(f16,plain,
    ( ( ( ( sK0 @ sK5 )
        & ( ( sK1 @ sK5 )
          | ( sK2 @ sK5 ) ) )
      = $false )
    | ( ( ( sK0 @ sK5 )
        & ( sK2 @ sK5 ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f14]) ).

thf(f14,plain,
    ( ( ( ( ( sK0 @ sK5 )
          & ( sK2 @ sK5 ) )
        | ( sK1 @ sK5 ) )
      = $false )
    | ( ( ( sK0 @ sK5 )
        & ( ( sK1 @ sK5 )
          | ( sK2 @ sK5 ) ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f12]) ).

thf(f12,plain,
    ( ( ( sK0 @ sK5 )
      & ( ( sK1 @ sK5 )
        | ( sK2 @ sK5 ) ) )
   != ( ( ( sK0 @ sK5 )
        & ( sK2 @ sK5 ) )
      | ( sK1 @ sK5 ) ) ),
    inference(beta_eta_normalization,[],[f11]) ).

thf(f11,plain,
    ( ( ^ [Y0: a] :
          ( ( sK0 @ Y0 )
          & ( ( sK1 @ Y0 )
            | ( sK2 @ Y0 ) ) )
      @ sK5 )
   != ( ^ [Y0: a] :
          ( ( ( sK0 @ Y0 )
            & ( sK2 @ Y0 ) )
          | ( sK1 @ Y0 ) )
      @ sK5 ) ),
    inference(negative_extensionality,[],[f9]) ).

thf(f9,plain,
    ( ( ^ [Y0: a] :
          ( ( ( sK0 @ Y0 )
            & ( sK2 @ Y0 ) )
          | ( sK1 @ Y0 ) ) )
   != ( ^ [Y0: a] :
          ( ( sK0 @ Y0 )
          & ( ( sK1 @ Y0 )
            | ( sK2 @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f68,plain,
    ( spl3_6
    | spl3_4 ),
    inference(avatar_split_clause,[],[f26,f56,f64]) ).

thf(f26,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ( ( sK0 @ sK5 )
      = $false ) ),
    inference(duplicate_literal_removal,[],[f25]) ).

thf(f25,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ( ( sK0 @ sK5 )
      = $false )
    | ( $false
      = ( sK1 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f23]) ).

thf(f23,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ( ( ( sK1 @ sK5 )
        | ( sK2 @ sK5 ) )
      = $false )
    | ( ( sK0 @ sK5 )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f15]) ).

thf(f15,plain,
    ( ( ( ( sK0 @ sK5 )
        & ( ( sK1 @ sK5 )
          | ( sK2 @ sK5 ) ) )
      = $false )
    | ( $false
      = ( sK1 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f14]) ).

thf(f54,plain,
    ( spl3_1
    | spl3_3 ),
    inference(avatar_split_clause,[],[f32,f49,f40]) ).

thf(f32,plain,
    ( ( $true
      = ( sK1 @ sK5 ) )
    | ( $true
      = ( sK0 @ sK5 ) ) ),
    inference(duplicate_literal_removal,[],[f31]) ).

thf(f31,plain,
    ( ( $true
      = ( sK0 @ sK5 ) )
    | ( $true
      = ( sK0 @ sK5 ) )
    | ( $true
      = ( sK1 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f29]) ).

thf(f29,plain,
    ( ( $true
      = ( sK1 @ sK5 ) )
    | ( $true
      = ( sK0 @ sK5 ) )
    | ( ( ( sK0 @ sK5 )
        & ( sK2 @ sK5 ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f28]) ).

thf(f28,plain,
    ( ( $true
      = ( sK0 @ sK5 ) )
    | ( $true
      = ( ( ( sK0 @ sK5 )
          & ( sK2 @ sK5 ) )
        | ( sK1 @ sK5 ) ) ) ),
    inference(binary_proxy_clausification,[],[f13]) ).

thf(f13,plain,
    ( ( ( ( sK0 @ sK5 )
        & ( ( sK1 @ sK5 )
          | ( sK2 @ sK5 ) ) )
      = $true )
    | ( $true
      = ( ( ( sK0 @ sK5 )
          & ( sK2 @ sK5 ) )
        | ( sK1 @ sK5 ) ) ) ),
    inference(binary_proxy_clausification,[],[f12]) ).

thf(f47,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f38,f44,f40]) ).

thf(f38,plain,
    ( ( ( sK2 @ sK5 )
      = $true )
    | ( $true
      = ( sK1 @ sK5 ) ) ),
    inference(duplicate_literal_removal,[],[f36]) ).

thf(f36,plain,
    ( ( ( sK2 @ sK5 )
      = $true )
    | ( $true
      = ( sK1 @ sK5 ) )
    | ( ( sK2 @ sK5 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f35]) ).

thf(f35,plain,
    ( ( ( ( sK0 @ sK5 )
        & ( sK2 @ sK5 ) )
      = $true )
    | ( $true
      = ( sK1 @ sK5 ) )
    | ( ( sK2 @ sK5 )
      = $true ) ),
    inference(duplicate_literal_removal,[],[f34]) ).

thf(f34,plain,
    ( ( ( sK2 @ sK5 )
      = $true )
    | ( $true
      = ( sK1 @ sK5 ) )
    | ( $true
      = ( sK1 @ sK5 ) )
    | ( ( ( sK0 @ sK5 )
        & ( sK2 @ sK5 ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f33]) ).

thf(f33,plain,
    ( ( $true
      = ( ( ( sK0 @ sK5 )
          & ( sK2 @ sK5 ) )
        | ( sK1 @ sK5 ) ) )
    | ( $true
      = ( sK1 @ sK5 ) )
    | ( ( sK2 @ sK5 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f27]) ).

thf(f27,plain,
    ( ( ( ( sK1 @ sK5 )
        | ( sK2 @ sK5 ) )
      = $true )
    | ( $true
      = ( ( ( sK0 @ sK5 )
          & ( sK2 @ sK5 ) )
        | ( sK1 @ sK5 ) ) ) ),
    inference(binary_proxy_clausification,[],[f13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET144^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % 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
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 16:43:52 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  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.BoBof3NTrW/Vampire---4.8_26059
% 0.13/0.37  % (26172)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.13/0.37  % (26173)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)
% 0.13/0.37  % (26171)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)
% 0.13/0.37  % (26172)Instruction limit reached!
% 0.13/0.37  % (26172)------------------------------
% 0.13/0.37  % (26172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (26172)Termination reason: Unknown
% 0.13/0.37  % (26172)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (26172)Memory used [KB]: 5373
% 0.13/0.37  % (26172)Time elapsed: 0.003 s
% 0.13/0.37  % (26174)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)
% 0.13/0.37  % (26172)Instructions burned: 2 (million)
% 0.13/0.37  % (26172)------------------------------
% 0.13/0.37  % (26172)------------------------------
% 0.13/0.37  % (26170)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)
% 0.13/0.37  % (26176)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)
% 0.13/0.37  % (26175)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.13/0.37  % (26173)Instruction limit reached!
% 0.13/0.37  % (26173)------------------------------
% 0.13/0.37  % (26173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (26173)Termination reason: Unknown
% 0.13/0.37  % (26173)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (26173)Memory used [KB]: 5500
% 0.13/0.37  % (26173)Time elapsed: 0.003 s
% 0.13/0.37  % (26173)Instructions burned: 2 (million)
% 0.13/0.37  % (26173)------------------------------
% 0.13/0.37  % (26173)------------------------------
% 0.13/0.37  % (26176)Refutation not found, incomplete strategy
% 0.13/0.37  % (26176)------------------------------
% 0.13/0.37  % (26176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (26176)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (26176)Memory used [KB]: 5500
% 0.13/0.37  % (26176)Time elapsed: 0.002 s
% 0.13/0.37  % (26176)Instructions burned: 1 (million)
% 0.13/0.37  % (26176)------------------------------
% 0.13/0.37  % (26176)------------------------------
% 0.13/0.37  % (26171)First to succeed.
% 0.13/0.37  % (26169)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)
% 0.13/0.37  % (26170)Instruction limit reached!
% 0.13/0.37  % (26170)------------------------------
% 0.13/0.37  % (26170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (26170)Termination reason: Unknown
% 0.13/0.37  % (26170)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (26174)Also succeeded, but the first one will report.
% 0.13/0.37  % (26170)Memory used [KB]: 5500
% 0.13/0.37  % (26170)Time elapsed: 0.005 s
% 0.13/0.37  % (26170)Instructions burned: 5 (million)
% 0.13/0.37  % (26170)------------------------------
% 0.13/0.37  % (26170)------------------------------
% 0.13/0.37  % (26171)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for Vampire---4
% 0.13/0.37  % SZS output start Proof for Vampire---4
% See solution above
% 0.13/0.37  % (26171)------------------------------
% 0.13/0.37  % (26171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (26171)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (26171)Memory used [KB]: 5500
% 0.13/0.37  % (26171)Time elapsed: 0.005 s
% 0.13/0.37  % (26171)Instructions burned: 3 (million)
% 0.13/0.37  % (26171)------------------------------
% 0.13/0.37  % (26171)------------------------------
% 0.13/0.37  % (26168)Success in time 0.014 s
% 0.13/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------