TSTP Solution File: SEV241^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV241^5 : TPTP v8.2.0. 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 : n003.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 04:12:30 EDT 2024

% Result   : Theorem 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   36 (   6 unt;   9 typ;   0 def)
%            Number of atoms       :  164 (  55 equ;   0 cnn)
%            Maximal formula atoms :   10 (   6 avg)
%            Number of connectives :  115 (  23   ~;  21   |;  21   &;  38   @)
%                                         (   2 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^  10   !;   8   ?;  19   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

thf(func_def_2,type,
    cU: a > $o ).

thf(func_def_6,type,
    sK0: a ).

thf(func_def_7,type,
    sK1: a > $o ).

thf(func_def_9,type,
    ph3: 
      !>[X0: $tType] : X0 ).

thf(func_def_11,type,
    sK4: a ).

thf(func_def_12,type,
    sK5: a ).

thf(f39,plain,
    $false,
    inference(avatar_sat_refutation,[],[f23,f28,f38]) ).

thf(f38,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f37]) ).

thf(f37,plain,
    ( $false
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f36,f14]) ).

thf(f14,plain,
    ( ( cW @ sK0 )
    = $true ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,plain,
    ( ( ( cW @ sK0 )
      = $true )
    & ( ( cU = sK1 )
      | ( cW = sK1 ) )
    & ( ( sK1 @ sK0 )
     != $true )
    & ( ( cU @ sK0 )
      = $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).

thf(f8,plain,
    ( ? [X0: a] :
        ( ( ( cW @ X0 )
          = $true )
        & ? [X1: a > $o] :
            ( ( ( cU = X1 )
              | ( cW = X1 ) )
            & ( ( X1 @ X0 )
             != $true ) )
        & ( ( cU @ X0 )
          = $true ) )
   => ( ( ( cW @ sK0 )
        = $true )
      & ? [X1: a > $o] :
          ( ( ( cU = X1 )
            | ( cW = X1 ) )
          & ( ( X1 @ sK0 )
           != $true ) )
      & ( ( cU @ sK0 )
        = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f9,plain,
    ( ? [X1: a > $o] :
        ( ( ( cU = X1 )
          | ( cW = X1 ) )
        & ( ( X1 @ sK0 )
         != $true ) )
   => ( ( ( cU = sK1 )
        | ( cW = sK1 ) )
      & ( ( sK1 @ sK0 )
       != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f7,plain,
    ? [X0: a] :
      ( ( ( cW @ X0 )
        = $true )
      & ? [X1: a > $o] :
          ( ( ( cU = X1 )
            | ( cW = X1 ) )
          & ( ( X1 @ X0 )
           != $true ) )
      & ( ( cU @ X0 )
        = $true ) ),
    inference(flattening,[],[f6]) ).

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

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

thf(f4,plain,
    ~ ! [X0: a] :
        ( ( ( cU @ X0 )
          & ( cW @ X0 ) )
       => ! [X1: a > $o] :
            ( ( ( cU = X1 )
              | ( cW = X1 ) )
           => ( X1 @ X0 ) ) ),
    inference(rectify,[],[f2]) ).

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

thf(f1,conjecture,
    ! [X0: a] :
      ( ( ( cU @ X0 )
        & ( cW @ X0 ) )
     => ! [X1: a > $o] :
          ( ( ( cU = X1 )
            | ( cW = X1 ) )
         => ( X1 @ X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX5201A_pme) ).

thf(f36,plain,
    ( ( ( cW @ sK0 )
     != $true )
    | ~ spl2_1 ),
    inference(superposition,[],[f12,f29]) ).

thf(f29,plain,
    ( ! [X1: a] :
        ( ( cW @ X1 )
        = ( sK1 @ X1 ) )
    | ~ spl2_1 ),
    inference(argument_congruence,[],[f18]) ).

thf(f18,plain,
    ( ( cW = sK1 )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f16]) ).

thf(f16,plain,
    ( spl2_1
  <=> ( cW = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

thf(f12,plain,
    ( ( sK1 @ sK0 )
   != $true ),
    inference(cnf_transformation,[],[f10]) ).

thf(f28,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f27]) ).

thf(f27,plain,
    ( $false
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f26,f11]) ).

thf(f11,plain,
    ( ( cU @ sK0 )
    = $true ),
    inference(cnf_transformation,[],[f10]) ).

thf(f26,plain,
    ( ( ( cU @ sK0 )
     != $true )
    | ~ spl2_2 ),
    inference(superposition,[],[f12,f24]) ).

thf(f24,plain,
    ( ! [X1: a] :
        ( ( sK1 @ X1 )
        = ( cU @ X1 ) )
    | ~ spl2_2 ),
    inference(argument_congruence,[],[f22]) ).

thf(f22,plain,
    ( ( cU = sK1 )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f20]) ).

thf(f20,plain,
    ( spl2_2
  <=> ( cU = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

thf(f23,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f13,f20,f16]) ).

thf(f13,plain,
    ( ( cU = sK1 )
    | ( cW = sK1 ) ),
    inference(cnf_transformation,[],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEV241^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14  % 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 : n003.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   : Sun May 19 18:55:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_EQU_NAR problem
% 0.13/0.36  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
% 0.21/0.38  % (3600)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 (3000ds/4Mi)
% 0.21/0.38  % (3602)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.38  % (3603)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 (3000ds/2Mi)
% 0.21/0.38  % (3599)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.21/0.38  % (3604)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 (3000ds/275Mi)
% 0.21/0.38  % (3603)Instruction limit reached!
% 0.21/0.38  % (3603)------------------------------
% 0.21/0.38  % (3603)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (3603)Termination reason: Unknown
% 0.21/0.38  % (3603)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (3603)Memory used [KB]: 5373
% 0.21/0.38  % (3603)Time elapsed: 0.003 s
% 0.21/0.38  % (3603)Instructions burned: 2 (million)
% 0.21/0.38  % (3603)------------------------------
% 0.21/0.38  % (3603)------------------------------
% 0.21/0.38  % (3606)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.21/0.38  % (3605)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.21/0.38  % (3602)Instruction limit reached!
% 0.21/0.38  % (3602)------------------------------
% 0.21/0.38  % (3602)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (3602)Termination reason: Unknown
% 0.21/0.38  % (3602)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (3602)Memory used [KB]: 5500
% 0.21/0.38  % (3602)Time elapsed: 0.004 s
% 0.21/0.38  % (3602)Instructions burned: 2 (million)
% 0.21/0.38  % (3602)------------------------------
% 0.21/0.38  % (3602)------------------------------
% 0.21/0.38  % (3600)Instruction limit reached!
% 0.21/0.38  % (3600)------------------------------
% 0.21/0.38  % (3600)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (3606)First to succeed.
% 0.21/0.38  % (3600)Termination reason: Unknown
% 0.21/0.38  % (3600)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (3600)Memory used [KB]: 5500
% 0.21/0.38  % (3600)Time elapsed: 0.006 s
% 0.21/0.38  % (3600)Instructions burned: 4 (million)
% 0.21/0.38  % (3600)------------------------------
% 0.21/0.38  % (3600)------------------------------
% 0.21/0.38  % (3604)Also succeeded, but the first one will report.
% 0.21/0.38  % (3606)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Theorem for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (3606)------------------------------
% 0.21/0.38  % (3606)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (3606)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (3606)Memory used [KB]: 5500
% 0.21/0.38  % (3606)Time elapsed: 0.005 s
% 0.21/0.38  % (3606)Instructions burned: 2 (million)
% 0.21/0.38  % (3606)------------------------------
% 0.21/0.38  % (3606)------------------------------
% 0.21/0.38  % (3598)Success in time 0.005 s
% 0.21/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------