TSTP Solution File: PUZ060+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n006.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 Apr 30 14:45:12 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   18 (   7 unt;   0 def)
%            Number of atoms       :  128 (   0 equ)
%            Maximal formula atoms :   28 (   7 avg)
%            Number of connectives :  148 (  38   ~;  30   |;  64   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   91 (  70   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f24,plain,
    $false,
    inference(subsumption_resolution,[],[f23,f16]) ).

fof(f16,plain,
    ~ likes(sK1,sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ~ likes(sK1,sK0)
    & ! [X6] :
        ( ! [X7] : not_killed_by(X6,X7)
        | ~ alive(X6) )
    & ! [X8] :
        ( eats(sK3,X8)
        | ~ eats(sK2,X8) )
    & alive(sK2)
    & eats(sK2,sK0)
    & ! [X9] :
        ( food(X9)
        | ! [X10] :
            ( ~ not_killed_by(X10,X9)
            | ~ eats(X10,X9) ) )
    & food(sK5)
    & food(sK4)
    & ! [X11] :
        ( likes(sK1,X11)
        | ~ food(X11) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f5,f6]) ).

fof(f6,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ~ likes(X1,X0)
        & ! [X6] :
            ( ! [X7] : not_killed_by(X6,X7)
            | ~ alive(X6) )
        & ! [X8] :
            ( eats(X3,X8)
            | ~ eats(X2,X8) )
        & alive(X2)
        & eats(X2,X0)
        & ! [X9] :
            ( food(X9)
            | ! [X10] :
                ( ~ not_killed_by(X10,X9)
                | ~ eats(X10,X9) ) )
        & food(X5)
        & food(X4)
        & ! [X11] :
            ( likes(X1,X11)
            | ~ food(X11) ) )
   => ( ~ likes(sK1,sK0)
      & ! [X6] :
          ( ! [X7] : not_killed_by(X6,X7)
          | ~ alive(X6) )
      & ! [X8] :
          ( eats(sK3,X8)
          | ~ eats(sK2,X8) )
      & alive(sK2)
      & eats(sK2,sK0)
      & ! [X9] :
          ( food(X9)
          | ! [X10] :
              ( ~ not_killed_by(X10,X9)
              | ~ eats(X10,X9) ) )
      & food(sK5)
      & food(sK4)
      & ! [X11] :
          ( likes(sK1,X11)
          | ~ food(X11) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ likes(X1,X0)
      & ! [X6] :
          ( ! [X7] : not_killed_by(X6,X7)
          | ~ alive(X6) )
      & ! [X8] :
          ( eats(X3,X8)
          | ~ eats(X2,X8) )
      & alive(X2)
      & eats(X2,X0)
      & ! [X9] :
          ( food(X9)
          | ! [X10] :
              ( ~ not_killed_by(X10,X9)
              | ~ eats(X10,X9) ) )
      & food(X5)
      & food(X4)
      & ! [X11] :
          ( likes(X1,X11)
          | ~ food(X11) ) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ likes(X1,X0)
      & ! [X6] :
          ( ! [X7] : not_killed_by(X6,X7)
          | ~ alive(X6) )
      & ! [X8] :
          ( eats(X3,X8)
          | ~ eats(X2,X8) )
      & alive(X2)
      & eats(X2,X0)
      & ! [X9] :
          ( food(X9)
          | ! [X10] :
              ( ~ not_killed_by(X10,X9)
              | ~ eats(X10,X9) ) )
      & food(X5)
      & food(X4)
      & ! [X11] :
          ( likes(X1,X11)
          | ~ food(X11) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( ! [X6] :
              ( alive(X6)
             => ! [X7] : not_killed_by(X6,X7) )
          & ! [X8] :
              ( eats(X2,X8)
             => eats(X3,X8) )
          & alive(X2)
          & eats(X2,X0)
          & ! [X9] :
              ( ? [X10] :
                  ( not_killed_by(X10,X9)
                  & eats(X10,X9) )
             => food(X9) )
          & food(X5)
          & food(X4)
          & ! [X11] :
              ( food(X11)
             => likes(X1,X11) ) )
       => likes(X1,X0) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( ! [X7] :
              ( alive(X7)
             => ! [X6] : not_killed_by(X7,X6) )
          & ! [X6] :
              ( eats(X2,X6)
             => eats(X3,X6) )
          & alive(X2)
          & eats(X2,X0)
          & ! [X6] :
              ( ? [X7] :
                  ( not_killed_by(X7,X6)
                  & eats(X7,X6) )
             => food(X6) )
          & food(X5)
          & food(X4)
          & ! [X6] :
              ( food(X6)
             => likes(X1,X6) ) )
       => likes(X1,X0) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( ! [X7] :
            ( alive(X7)
           => ! [X6] : not_killed_by(X7,X6) )
        & ! [X6] :
            ( eats(X2,X6)
           => eats(X3,X6) )
        & alive(X2)
        & eats(X2,X0)
        & ! [X6] :
            ( ? [X7] :
                ( not_killed_by(X7,X6)
                & eats(X7,X6) )
           => food(X6) )
        & food(X5)
        & food(X4)
        & ! [X6] :
            ( food(X6)
           => likes(X1,X6) ) )
     => likes(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f23,plain,
    likes(sK1,sK0),
    inference(resolution,[],[f22,f8]) ).

fof(f8,plain,
    ! [X11] :
      ( ~ food(X11)
      | likes(sK1,X11) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f22,plain,
    food(sK0),
    inference(resolution,[],[f21,f12]) ).

fof(f12,plain,
    eats(sK2,sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ eats(sK2,X0)
      | food(X0) ),
    inference(resolution,[],[f11,f19]) ).

fof(f19,plain,
    ! [X0] : not_killed_by(sK2,X0),
    inference(resolution,[],[f15,f13]) ).

fof(f13,plain,
    alive(sK2),
    inference(cnf_transformation,[],[f7]) ).

fof(f15,plain,
    ! [X6,X7] :
      ( ~ alive(X6)
      | not_killed_by(X6,X7) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f11,plain,
    ! [X10,X9] :
      ( ~ not_killed_by(X10,X9)
      | food(X9)
      | ~ eats(X10,X9) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 01:54:05 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (15419)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (15420)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (15423)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (15422)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37  % (15421)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (15424)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (15425)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (15426)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  Detected minimum model sizes of [1]
% 0.14/0.37  Detected maximum model sizes of [6]
% 0.14/0.37  Detected minimum model sizes of [1,1,1]
% 0.14/0.37  Detected maximum model sizes of [3,1,2]
% 0.14/0.37  Detected minimum model sizes of [1,1,1]
% 0.14/0.37  Detected maximum model sizes of [3,1,2]
% 0.14/0.37  Detected minimum model sizes of [1]
% 0.14/0.37  Detected maximum model sizes of [6]
% 0.14/0.37  % (15424)First to succeed.
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [1,1,1]
% 0.14/0.37  TRYING [1,1,1]
% 0.14/0.37  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37  % (15423)Refutation not found, incomplete strategy% (15423)------------------------------
% 0.14/0.37  % (15423)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37  % (15423)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  % (15423)Memory used [KB]: 729
% 0.14/0.37  TRYING [1]
% 0.14/0.37  % (15423)Time elapsed: 0.003 s
% 0.14/0.37  % (15423)Instructions burned: 2 (million)
% 0.14/0.37  % (15423)------------------------------
% 0.14/0.37  % (15423)------------------------------
% 0.14/0.37  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37  % (15421)Refutation not found, incomplete strategy% (15421)------------------------------
% 0.14/0.37  % (15421)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37  % (15421)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  % (15421)Memory used [KB]: 728
% 0.14/0.37  % (15421)Time elapsed: 0.004 s
% 0.14/0.37  % (15425)Also succeeded, but the first one will report.
% 0.14/0.37  % (15421)Instructions burned: 2 (million)
% 0.14/0.37  % (15421)------------------------------
% 0.14/0.37  % (15421)------------------------------
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  % (15426)Also succeeded, but the first one will report.
% 0.14/0.37  % (15424)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Theorem for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (15424)------------------------------
% 0.14/0.37  % (15424)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37  % (15424)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (15424)Memory used [KB]: 733
% 0.14/0.37  % (15424)Time elapsed: 0.003 s
% 0.14/0.37  % (15424)Instructions burned: 3 (million)
% 0.14/0.37  % (15424)------------------------------
% 0.14/0.37  % (15424)------------------------------
% 0.14/0.37  % (15419)Success in time 0.005 s
% 0.14/0.39  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.14/0.39  15419 Aborted by signal SIGABRT on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39  % (15419)------------------------------
% 0.14/0.39  % (15419)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39  % (15419)Termination reason: Unknown
% 0.14/0.39  % (15419)Termination phase: Unknown
% 0.14/0.39  
% 0.14/0.39  % (15419)Memory used [KB]: 406
% 0.14/0.39  % (15419)Time elapsed: 0.017 s
% 0.14/0.39  % (15419)Instructions burned: 41 (million)
% 0.14/0.39  % (15419)------------------------------
% 0.14/0.39  % (15419)------------------------------
% 0.14/0.39  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39  ???
% 0.14/0.39   ???
% 0.14/0.39    ???
% 0.14/0.39     ???
% 0.14/0.39      ???
% 0.14/0.39       ???
% 0.14/0.39        ???
% 0.14/0.39         ???
% 0.14/0.39          ???
% 0.14/0.39           ???
% 0.14/0.39            ???
% 0.14/0.39             ???
% 0.14/0.39              ???
% 0.14/0.39               ???
% 0.14/0.39                ???
% 0.14/0.39                 ???
% 0.14/0.39                  ???
% 0.14/0.39                   ???
% 0.14/0.39                    ???
% 0.14/0.39                     ???
%------------------------------------------------------------------------------