TSTP Solution File: PUZ005+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ005+1 : TPTP v8.2.0. Released v2.2.0.
% 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 : 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 May 21 02:27:39 EDT 2024

% Result   : Theorem 0.64s 0.83s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   48 (   4 unt;   0 def)
%            Number of atoms       :  147 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  184 (  85   ~;  80   |;   6   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   53 (  51   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f216,plain,
    $false,
    inference(resolution,[],[f214,f98]) ).

fof(f98,plain,
    thursday(a_thursday),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    thursday(a_thursday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday) ).

fof(f214,plain,
    ! [X0] : ~ thursday(X0),
    inference(subsumption_resolution,[],[f213,f126]) ).

fof(f126,plain,
    ! [X0] :
      ( unicorn_lies(X0)
      | ~ thursday(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( unicorn_lies(X0)
      | ~ thursday(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0] :
      ( thursday(X0)
     => unicorn_lies(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_lies_thursday) ).

fof(f213,plain,
    ! [X0] :
      ( ~ unicorn_lies(X0)
      | ~ thursday(X0) ),
    inference(subsumption_resolution,[],[f212,f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ~ lion_lies(X0)
      | ~ thursday(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ lion_lies(X0)
      | ~ thursday(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0] :
      ( thursday(X0)
     => ~ lion_lies(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_does_not_lie_thursday) ).

fof(f212,plain,
    ! [X0] :
      ( lion_lies(X0)
      | ~ unicorn_lies(X0)
      | ~ thursday(X0) ),
    inference(resolution,[],[f184,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( wednesday(yesterday(X0))
      | ~ thursday(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( wednesday(yesterday(X0))
      | ~ thursday(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( thursday(X0)
     => wednesday(yesterday(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).

fof(f184,plain,
    ! [X0] :
      ( ~ wednesday(yesterday(X0))
      | lion_lies(X0)
      | ~ unicorn_lies(X0) ),
    inference(subsumption_resolution,[],[f175,f118]) ).

fof(f118,plain,
    ! [X0] :
      ( lion_lies(X0)
      | ~ wednesday(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( lion_lies(X0)
      | ~ wednesday(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( wednesday(X0)
     => lion_lies(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_wednesday) ).

fof(f175,plain,
    ! [X0] :
      ( ~ unicorn_lies(X0)
      | ~ lion_lies(yesterday(X0))
      | lion_lies(X0)
      | ~ wednesday(yesterday(X0)) ),
    inference(resolution,[],[f170,f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ~ unicorn_lies(X0)
      | ~ wednesday(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ unicorn_lies(X0)
      | ~ wednesday(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( wednesday(X0)
     => ~ unicorn_lies(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_does_not_lie_wednesday) ).

fof(f170,plain,
    ! [X0] :
      ( unicorn_lies(yesterday(X0))
      | ~ unicorn_lies(X0)
      | ~ lion_lies(yesterday(X0))
      | lion_lies(X0) ),
    inference(subsumption_resolution,[],[f169,f131]) ).

fof(f131,plain,
    ! [X0] :
      ( day(X0)
      | ~ unicorn_lies(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( day(X0)
      | ~ unicorn_lies(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( unicorn_lies(X0)
     => day(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_lies_on_a_day) ).

fof(f169,plain,
    ! [X0] :
      ( unicorn_lies(yesterday(X0))
      | ~ unicorn_lies(X0)
      | ~ lion_lies(yesterday(X0))
      | lion_lies(X0)
      | ~ day(X0) ),
    inference(subsumption_resolution,[],[f166,f130]) ).

fof(f130,plain,
    ! [X0] :
      ( day(X0)
      | ~ lion_lies(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( day(X0)
      | ~ lion_lies(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0] :
      ( lion_lies(X0)
     => day(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_on_a_day) ).

fof(f166,plain,
    ! [X0] :
      ( unicorn_lies(yesterday(X0))
      | ~ unicorn_lies(X0)
      | ~ day(yesterday(X0))
      | ~ lion_lies(yesterday(X0))
      | lion_lies(X0)
      | ~ day(X0) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( unicorn_lies(yesterday(X0))
      | ~ unicorn_lies(X0)
      | ~ day(yesterday(X0))
      | ~ lion_lies(yesterday(X0))
      | lion_lies(X0)
      | ~ day(yesterday(X0))
      | ~ day(X0) ),
    inference(resolution,[],[f145,f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ lion_lies(X1)
      | lies_on_one_of(a_lion,X0,X1)
      | lion_lies(X0)
      | ~ day(X1)
      | ~ day(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ lion_lies(X1)
          | lies_on_one_of(a_lion,X0,X1)
          | lion_lies(X0)
          | ~ day(X1) )
      | ~ day(X0) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ lion_lies(X1)
          | lies_on_one_of(a_lion,X0,X1)
          | lion_lies(X0)
          | ~ day(X1) )
      | ~ day(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0] :
      ( day(X0)
     => ! [X1] :
          ( day(X1)
         => ( ( ~ lies_on_one_of(a_lion,X0,X1)
              & ~ lion_lies(X0) )
           => ~ lion_lies(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_on_neither) ).

fof(f145,plain,
    ! [X0] :
      ( ~ lies_on_one_of(a_lion,X0,yesterday(X0))
      | unicorn_lies(yesterday(X0))
      | ~ unicorn_lies(X0)
      | ~ day(yesterday(X0)) ),
    inference(subsumption_resolution,[],[f144,f131]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ lies_on_one_of(a_lion,X0,yesterday(X0))
      | ~ day(X0)
      | unicorn_lies(yesterday(X0))
      | ~ unicorn_lies(X0)
      | ~ day(yesterday(X0)) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( ~ lies_on_one_of(a_lion,X0,yesterday(X0))
      | ~ day(X0)
      | unicorn_lies(yesterday(X0))
      | ~ unicorn_lies(X0)
      | ~ day(yesterday(X0))
      | ~ day(X0) ),
    inference(resolution,[],[f140,f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( unicorn_lies(X1)
      | lies_on_one_of(a_unicorn,X0,X1)
      | ~ unicorn_lies(X0)
      | ~ day(X1)
      | ~ day(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ! [X1] :
          ( unicorn_lies(X1)
          | lies_on_one_of(a_unicorn,X0,X1)
          | ~ unicorn_lies(X0)
          | ~ day(X1) )
      | ~ day(X0) ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ! [X1] :
          ( unicorn_lies(X1)
          | lies_on_one_of(a_unicorn,X0,X1)
          | ~ unicorn_lies(X0)
          | ~ day(X1) )
      | ~ day(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ! [X0] :
      ( day(X0)
     => ! [X1] :
          ( day(X1)
         => ( ( ~ lies_on_one_of(a_unicorn,X0,X1)
              & unicorn_lies(X0) )
           => unicorn_lies(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_lies_on_both) ).

fof(f140,plain,
    ! [X0] :
      ( ~ lies_on_one_of(a_unicorn,X0,yesterday(X0))
      | ~ lies_on_one_of(a_lion,X0,yesterday(X0))
      | ~ day(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ lies_on_one_of(a_unicorn,X0,yesterday(X0))
      | ~ lies_on_one_of(a_lion,X0,yesterday(X0))
      | ~ day(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ? [X0] :
        ( lies_on_one_of(a_unicorn,X0,yesterday(X0))
        & lies_on_one_of(a_lion,X0,yesterday(X0))
        & day(X0) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ? [X0] :
      ( lies_on_one_of(a_unicorn,X0,yesterday(X0))
      & lies_on_one_of(a_lion,X0,yesterday(X0))
      & day(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_are_close_lying_days) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ005+1 : TPTP v8.2.0. Released v2.2.0.
% 0.07/0.13  % 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
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat May 18 10:42:38 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_NEQ problem
% 0.12/0.35  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/benchmark/theBenchmark.p
% 0.64/0.83  % (9335)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 theBenchmark for (2995ds/34Mi)
% 0.64/0.83  % (9338)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.64/0.83  % (9340)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.64/0.83  % (9337)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.64/0.83  % (9339)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 theBenchmark for (2995ds/34Mi)
% 0.64/0.83  % (9336)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 theBenchmark for (2995ds/51Mi)
% 0.64/0.83  % (9341)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 theBenchmark for (2995ds/83Mi)
% 0.64/0.83  % (9342)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.64/0.83  % (9338)Refutation not found, incomplete strategy% (9338)------------------------------
% 0.64/0.83  % (9338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (9338)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (9338)Memory used [KB]: 953
% 0.64/0.83  % (9338)Time elapsed: 0.002 s
% 0.64/0.83  % (9338)Instructions burned: 2 (million)
% 0.64/0.83  % (9338)------------------------------
% 0.64/0.83  % (9338)------------------------------
% 0.64/0.83  % (9340)Refutation not found, incomplete strategy% (9340)------------------------------
% 0.64/0.83  % (9340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (9340)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (9340)Memory used [KB]: 976
% 0.64/0.83  % (9340)Time elapsed: 0.003 s
% 0.64/0.83  % (9340)Instructions burned: 3 (million)
% 0.64/0.83  % (9335)Refutation not found, incomplete strategy% (9335)------------------------------
% 0.64/0.83  % (9335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (9335)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (9335)Memory used [KB]: 1044
% 0.64/0.83  % (9335)Time elapsed: 0.004 s
% 0.64/0.83  % (9335)Instructions burned: 3 (million)
% 0.64/0.83  % (9340)------------------------------
% 0.64/0.83  % (9340)------------------------------
% 0.64/0.83  % (9335)------------------------------
% 0.64/0.83  % (9335)------------------------------
% 0.64/0.83  % (9339)First to succeed.
% 0.64/0.83  % (9341)Refutation not found, incomplete strategy% (9341)------------------------------
% 0.64/0.83  % (9341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (9341)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (9341)Memory used [KB]: 1051
% 0.64/0.83  % (9341)Time elapsed: 0.004 s
% 0.64/0.83  % (9341)Instructions burned: 5 (million)
% 0.64/0.83  % (9341)------------------------------
% 0.64/0.83  % (9341)------------------------------
% 0.64/0.83  % (9339)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9334"
% 0.64/0.83  % (9339)Refutation found. Thanks to Tanya!
% 0.64/0.83  % SZS status Theorem for theBenchmark
% 0.64/0.83  % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.83  % (9339)------------------------------
% 0.64/0.83  % (9339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (9339)Termination reason: Refutation
% 0.64/0.83  
% 0.64/0.83  % (9339)Memory used [KB]: 1064
% 0.64/0.83  % (9339)Time elapsed: 0.004 s
% 0.64/0.83  % (9339)Instructions burned: 5 (million)
% 0.64/0.83  % (9334)Success in time 0.477 s
% 0.64/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------