TSTP Solution File: PUZ047+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 03:38:24 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   22 (  10 unt;   0 def)
%            Number of atoms       :  202 (   0 equ)
%            Maximal formula atoms :   30 (   9 avg)
%            Number of connectives :  241 (  61   ~;  48   |;  87   &)
%                                         (   0 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-5 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-1 aty)
%            Number of variables   :  132 ( 129   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,plain,
    $false,
    inference(resolution,[],[f41,f7]) ).

fof(f7,plain,
    p(south,south,south,south,start),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ! [X0] : ~ p(north,north,north,north,X0)
    & ! [X1] :
        ( p(south,south,north,south,take_cabbage(X1))
        | ~ p(north,south,north,north,X1) )
    & ! [X2] :
        ( p(north,south,north,north,take_cabbage(X2))
        | ~ p(south,south,north,south,X2) )
    & ! [X3] :
        ( p(south,north,south,south,take_cabbage(X3))
        | ~ p(north,north,south,north,X3) )
    & ! [X4] :
        ( p(north,north,south,north,take_cabbage(X4))
        | ~ p(south,north,south,south,X4) )
    & ! [X5,X6,X7] :
        ( p(south,X5,south,X6,take_goat(X7))
        | ~ p(north,X5,north,X6,X7) )
    & ! [X8,X9,X10] :
        ( p(north,X8,north,X9,take_goat(X10))
        | ~ p(south,X8,south,X9,X10) )
    & ! [X11] :
        ( p(south,south,north,south,take_wolf(X11))
        | ~ p(north,north,north,south,X11) )
    & ! [X12] :
        ( p(north,north,north,south,take_wolf(X12))
        | ~ p(south,south,north,south,X12) )
    & ! [X13] :
        ( p(south,south,south,north,take_wolf(X13))
        | ~ p(north,north,south,north,X13) )
    & ! [X14] :
        ( p(north,north,south,north,take_wolf(X14))
        | ~ p(south,south,south,north,X14) )
    & ! [X15] :
        ( p(south,south,north,south,go_alone(X15))
        | ~ p(north,south,north,south,X15) )
    & ! [X16] :
        ( p(north,south,north,south,go_alone(X16))
        | ~ p(south,south,north,south,X16) )
    & ! [X17] :
        ( p(south,north,south,north,go_alone(X17))
        | ~ p(north,north,south,north,X17) )
    & ! [X18] :
        ( p(north,north,south,north,go_alone(X18))
        | ~ p(south,north,south,north,X18) )
    & p(south,south,south,south,start) ),
    inference(rectify,[],[f5]) ).

fof(f5,plain,
    ( ! [X18] : ~ p(north,north,north,north,X18)
    & ! [X0] :
        ( p(south,south,north,south,take_cabbage(X0))
        | ~ p(north,south,north,north,X0) )
    & ! [X1] :
        ( p(north,south,north,north,take_cabbage(X1))
        | ~ p(south,south,north,south,X1) )
    & ! [X2] :
        ( p(south,north,south,south,take_cabbage(X2))
        | ~ p(north,north,south,north,X2) )
    & ! [X3] :
        ( p(north,north,south,north,take_cabbage(X3))
        | ~ p(south,north,south,south,X3) )
    & ! [X4,X5,X6] :
        ( p(south,X4,south,X5,take_goat(X6))
        | ~ p(north,X4,north,X5,X6) )
    & ! [X7,X8,X9] :
        ( p(north,X7,north,X8,take_goat(X9))
        | ~ p(south,X7,south,X8,X9) )
    & ! [X10] :
        ( p(south,south,north,south,take_wolf(X10))
        | ~ p(north,north,north,south,X10) )
    & ! [X11] :
        ( p(north,north,north,south,take_wolf(X11))
        | ~ p(south,south,north,south,X11) )
    & ! [X12] :
        ( p(south,south,south,north,take_wolf(X12))
        | ~ p(north,north,south,north,X12) )
    & ! [X13] :
        ( p(north,north,south,north,take_wolf(X13))
        | ~ p(south,south,south,north,X13) )
    & ! [X14] :
        ( p(south,south,north,south,go_alone(X14))
        | ~ p(north,south,north,south,X14) )
    & ! [X15] :
        ( p(north,south,north,south,go_alone(X15))
        | ~ p(south,south,north,south,X15) )
    & ! [X16] :
        ( p(south,north,south,north,go_alone(X16))
        | ~ p(north,north,south,north,X16) )
    & ! [X17] :
        ( p(north,north,south,north,go_alone(X17))
        | ~ p(south,north,south,north,X17) )
    & p(south,south,south,south,start) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ( ! [X18] : ~ p(north,north,north,north,X18)
    & ! [X0] :
        ( p(south,south,north,south,take_cabbage(X0))
        | ~ p(north,south,north,north,X0) )
    & ! [X1] :
        ( p(north,south,north,north,take_cabbage(X1))
        | ~ p(south,south,north,south,X1) )
    & ! [X2] :
        ( p(south,north,south,south,take_cabbage(X2))
        | ~ p(north,north,south,north,X2) )
    & ! [X3] :
        ( p(north,north,south,north,take_cabbage(X3))
        | ~ p(south,north,south,south,X3) )
    & ! [X4,X5,X6] :
        ( p(south,X4,south,X5,take_goat(X6))
        | ~ p(north,X4,north,X5,X6) )
    & ! [X7,X8,X9] :
        ( p(north,X7,north,X8,take_goat(X9))
        | ~ p(south,X7,south,X8,X9) )
    & ! [X10] :
        ( p(south,south,north,south,take_wolf(X10))
        | ~ p(north,north,north,south,X10) )
    & ! [X11] :
        ( p(north,north,north,south,take_wolf(X11))
        | ~ p(south,south,north,south,X11) )
    & ! [X12] :
        ( p(south,south,south,north,take_wolf(X12))
        | ~ p(north,north,south,north,X12) )
    & ! [X13] :
        ( p(north,north,south,north,take_wolf(X13))
        | ~ p(south,south,south,north,X13) )
    & ! [X14] :
        ( p(south,south,north,south,go_alone(X14))
        | ~ p(north,south,north,south,X14) )
    & ! [X15] :
        ( p(north,south,north,south,go_alone(X15))
        | ~ p(south,south,north,south,X15) )
    & ! [X16] :
        ( p(south,north,south,north,go_alone(X16))
        | ~ p(north,north,south,north,X16) )
    & ! [X17] :
        ( p(north,north,south,north,go_alone(X17))
        | ~ p(south,north,south,north,X17) )
    & p(south,south,south,south,start) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ( ! [X0] :
            ( p(north,south,north,north,X0)
           => p(south,south,north,south,take_cabbage(X0)) )
        & ! [X1] :
            ( p(south,south,north,south,X1)
           => p(north,south,north,north,take_cabbage(X1)) )
        & ! [X2] :
            ( p(north,north,south,north,X2)
           => p(south,north,south,south,take_cabbage(X2)) )
        & ! [X3] :
            ( p(south,north,south,south,X3)
           => p(north,north,south,north,take_cabbage(X3)) )
        & ! [X4,X5,X6] :
            ( p(north,X4,north,X5,X6)
           => p(south,X4,south,X5,take_goat(X6)) )
        & ! [X7,X8,X9] :
            ( p(south,X7,south,X8,X9)
           => p(north,X7,north,X8,take_goat(X9)) )
        & ! [X10] :
            ( p(north,north,north,south,X10)
           => p(south,south,north,south,take_wolf(X10)) )
        & ! [X11] :
            ( p(south,south,north,south,X11)
           => p(north,north,north,south,take_wolf(X11)) )
        & ! [X12] :
            ( p(north,north,south,north,X12)
           => p(south,south,south,north,take_wolf(X12)) )
        & ! [X13] :
            ( p(south,south,south,north,X13)
           => p(north,north,south,north,take_wolf(X13)) )
        & ! [X14] :
            ( p(north,south,north,south,X14)
           => p(south,south,north,south,go_alone(X14)) )
        & ! [X15] :
            ( p(south,south,north,south,X15)
           => p(north,south,north,south,go_alone(X15)) )
        & ! [X16] :
            ( p(north,north,south,north,X16)
           => p(south,north,south,north,go_alone(X16)) )
        & ! [X17] :
            ( p(south,north,south,north,X17)
           => p(north,north,south,north,go_alone(X17)) )
        & p(south,south,south,south,start) )
     => ? [X18] : p(north,north,north,north,X18) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ! [X17] :
            ( p(north,south,north,north,X17)
           => p(south,south,north,south,take_cabbage(X17)) )
        & ! [X16] :
            ( p(south,south,north,south,X16)
           => p(north,south,north,north,take_cabbage(X16)) )
        & ! [X15] :
            ( p(north,north,south,north,X15)
           => p(south,north,south,south,take_cabbage(X15)) )
        & ! [X14] :
            ( p(south,north,south,south,X14)
           => p(north,north,south,north,take_cabbage(X14)) )
        & ! [X11,X12,X13] :
            ( p(north,X11,north,X12,X13)
           => p(south,X11,south,X12,take_goat(X13)) )
        & ! [X8,X9,X10] :
            ( p(south,X8,south,X9,X10)
           => p(north,X8,north,X9,take_goat(X10)) )
        & ! [X7] :
            ( p(north,north,north,south,X7)
           => p(south,south,north,south,take_wolf(X7)) )
        & ! [X6] :
            ( p(south,south,north,south,X6)
           => p(north,north,north,south,take_wolf(X6)) )
        & ! [X5] :
            ( p(north,north,south,north,X5)
           => p(south,south,south,north,take_wolf(X5)) )
        & ! [X4] :
            ( p(south,south,south,north,X4)
           => p(north,north,south,north,take_wolf(X4)) )
        & ! [X3] :
            ( p(north,south,north,south,X3)
           => p(south,south,north,south,go_alone(X3)) )
        & ! [X2] :
            ( p(south,south,north,south,X2)
           => p(north,south,north,south,go_alone(X2)) )
        & ! [X1] :
            ( p(north,north,south,north,X1)
           => p(south,north,south,north,go_alone(X1)) )
        & ! [X0] :
            ( p(south,north,south,north,X0)
           => p(north,north,south,north,go_alone(X0)) )
        & p(south,south,south,south,start) )
     => ? [X18] : p(north,north,north,north,X18) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ! [X17] :
          ( p(north,south,north,north,X17)
         => p(south,south,north,south,take_cabbage(X17)) )
      & ! [X16] :
          ( p(south,south,north,south,X16)
         => p(north,south,north,north,take_cabbage(X16)) )
      & ! [X15] :
          ( p(north,north,south,north,X15)
         => p(south,north,south,south,take_cabbage(X15)) )
      & ! [X14] :
          ( p(south,north,south,south,X14)
         => p(north,north,south,north,take_cabbage(X14)) )
      & ! [X11,X12,X13] :
          ( p(north,X11,north,X12,X13)
         => p(south,X11,south,X12,take_goat(X13)) )
      & ! [X8,X9,X10] :
          ( p(south,X8,south,X9,X10)
         => p(north,X8,north,X9,take_goat(X10)) )
      & ! [X7] :
          ( p(north,north,north,south,X7)
         => p(south,south,north,south,take_wolf(X7)) )
      & ! [X6] :
          ( p(south,south,north,south,X6)
         => p(north,north,north,south,take_wolf(X6)) )
      & ! [X5] :
          ( p(north,north,south,north,X5)
         => p(south,south,south,north,take_wolf(X5)) )
      & ! [X4] :
          ( p(south,south,south,north,X4)
         => p(north,north,south,north,take_wolf(X4)) )
      & ! [X3] :
          ( p(north,south,north,south,X3)
         => p(south,south,north,south,go_alone(X3)) )
      & ! [X2] :
          ( p(south,south,north,south,X2)
         => p(north,south,north,south,go_alone(X2)) )
      & ! [X1] :
          ( p(north,north,south,north,X1)
         => p(south,north,south,north,go_alone(X1)) )
      & ! [X0] :
          ( p(south,north,south,north,X0)
         => p(north,north,south,north,go_alone(X0)) )
      & p(south,south,south,south,start) )
   => ? [X18] : p(north,north,north,north,X18) ),
    file('/export/starexec/sandbox2/tmp/tmp.RgVxNDSYRM/Vampire---4.8_23774',thm100) ).

fof(f41,plain,
    ! [X0] : ~ p(south,south,south,south,X0),
    inference(resolution,[],[f37,f16]) ).

fof(f16,plain,
    ! [X10,X8,X9] :
      ( p(north,X8,north,X9,take_goat(X10))
      | ~ p(south,X8,south,X9,X10) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ! [X0] : ~ p(north,south,north,south,X0),
    inference(resolution,[],[f33,f11]) ).

fof(f11,plain,
    ! [X15] :
      ( p(south,south,north,south,go_alone(X15))
      | ~ p(north,south,north,south,X15) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ! [X0] : ~ p(south,south,north,south,X0),
    inference(resolution,[],[f30,f20]) ).

fof(f20,plain,
    ! [X2] :
      ( p(north,south,north,north,take_cabbage(X2))
      | ~ p(south,south,north,south,X2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ! [X0] : ~ p(north,south,north,north,X0),
    inference(resolution,[],[f27,f17]) ).

fof(f17,plain,
    ! [X6,X7,X5] :
      ( p(south,X5,south,X6,take_goat(X7))
      | ~ p(north,X5,north,X6,X7) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f27,plain,
    ! [X0] : ~ p(south,south,south,north,X0),
    inference(resolution,[],[f24,f12]) ).

fof(f12,plain,
    ! [X14] :
      ( p(north,north,south,north,take_wolf(X14))
      | ~ p(south,south,south,north,X14) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ! [X0] : ~ p(north,north,south,north,X0),
    inference(resolution,[],[f23,f9]) ).

fof(f9,plain,
    ! [X17] :
      ( p(south,north,south,north,go_alone(X17))
      | ~ p(north,north,south,north,X17) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f23,plain,
    ! [X0] : ~ p(south,north,south,north,X0),
    inference(resolution,[],[f16,f22]) ).

fof(f22,plain,
    ! [X0] : ~ p(north,north,north,north,X0),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % 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 17:26:51 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.RgVxNDSYRM/Vampire---4.8_23774
% 0.61/0.76  % (23987)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.77  % (23992)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)
% 0.61/0.77  % (23987)First to succeed.
% 0.61/0.77  % (23985)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)
% 0.61/0.77  % (23988)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)
% 0.61/0.77  % (23986)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)
% 0.61/0.77  % (23989)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)
% 0.61/0.77  % (23990)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)
% 0.61/0.77  % (23991)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)
% 0.61/0.77  % (23992)Also succeeded, but the first one will report.
% 0.61/0.77  % (23987)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (23987)------------------------------
% 0.61/0.77  % (23987)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (23987)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (23987)Memory used [KB]: 974
% 0.61/0.77  % (23987)Time elapsed: 0.005 s
% 0.61/0.77  % (23987)Instructions burned: 6 (million)
% 0.61/0.77  % (23987)------------------------------
% 0.61/0.77  % (23987)------------------------------
% 0.61/0.77  % (23964)Success in time 0.402 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------