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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n015.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 : Wed May  1 03:38:36 EDT 2024

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            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 :  149 (  39   ~;  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(f21,plain,
    $false,
    inference(subsumption_resolution,[],[f20,f17]) ).

fof(f17,plain,
    ~ food(sK0),
    inference(resolution,[],[f8,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/sandbox/tmp/tmp.D51s2htXea/Vampire---4.8_6465',prove_this) ).

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

fof(f20,plain,
    food(sK0),
    inference(resolution,[],[f19,f12]) ).

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

fof(f19,plain,
    ! [X0] :
      ( ~ eats(sK2,X0)
      | food(X0) ),
    inference(resolution,[],[f11,f18]) ).

fof(f18,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
% 0.08/0.13  % Problem    : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.15  % 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
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 17:49:33 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.37  Running 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 300 /export/starexec/sandbox/tmp/tmp.D51s2htXea/Vampire---4.8_6465
% 0.57/0.75  % (6862)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75  % (6862)First to succeed.
% 0.57/0.75  % (6855)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (6857)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (6856)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.75  % (6858)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75  % (6860)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75  % (6859)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (6861)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75  % (6862)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Theorem for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (6862)------------------------------
% 0.57/0.75  % (6862)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (6862)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (6862)Memory used [KB]: 960
% 0.57/0.75  % (6862)Time elapsed: 0.002 s
% 0.57/0.75  % (6862)Instructions burned: 3 (million)
% 0.57/0.75  % (6862)------------------------------
% 0.57/0.75  % (6862)------------------------------
% 0.57/0.75  % (6713)Success in time 0.374 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------