TSTP Solution File: PUZ005+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ005+1 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9ikOfAn1Tm true

% Computer : n017.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 : Thu Aug 31 13:30:33 EDT 2023

% Result   : Theorem 1.28s 0.79s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   62 (  15 unt;  10 typ;   0 def)
%            Number of atoms       :  115 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  287 (  52   ~;  42   |;   6   &; 172   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :   41 (   0   ^;  39   !;   2   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(lies_on_one_of_type,type,
    lies_on_one_of: $i > $i > $i > $o ).

thf(yesterday_type,type,
    yesterday: $i > $i ).

thf(a_thursday_type,type,
    a_thursday: $i ).

thf(a_unicorn_type,type,
    a_unicorn: $i ).

thf(a_lion_type,type,
    a_lion: $i ).

thf(unicorn_lies_type,type,
    unicorn_lies: $i > $o ).

thf(lion_lies_type,type,
    lion_lies: $i > $o ).

thf(thursday_type,type,
    thursday: $i > $o ).

thf(wednesday_type,type,
    wednesday: $i > $o ).

thf(day_type,type,
    day: $i > $o ).

thf(lion_lies_on_neither,axiom,
    ! [X: $i] :
      ( ( day @ X )
     => ! [Y: $i] :
          ( ( day @ Y )
         => ( ( ~ ( lion_lies @ X )
              & ~ ( lies_on_one_of @ a_lion @ X @ Y ) )
           => ~ ( lion_lies @ Y ) ) ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( day @ X0 )
      | ~ ( lion_lies @ X0 )
      | ( lies_on_one_of @ a_lion @ X1 @ X0 )
      | ( lion_lies @ X1 )
      | ~ ( day @ X1 ) ),
    inference(cnf,[status(esa)],[lion_lies_on_neither]) ).

thf(lion_lies_on_a_day,axiom,
    ! [X: $i] :
      ( ( lion_lies @ X )
     => ( day @ X ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ( day @ X0 )
      | ~ ( lion_lies @ X0 ) ),
    inference(cnf,[status(esa)],[lion_lies_on_a_day]) ).

thf(zip_derived_cl163,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( day @ X1 )
      | ( lion_lies @ X1 )
      | ( lies_on_one_of @ a_lion @ X1 @ X0 )
      | ~ ( lion_lies @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl35]) ).

thf(thursday,axiom,
    thursday @ a_thursday ).

thf(zip_derived_cl3,plain,
    thursday @ a_thursday,
    inference(cnf,[status(esa)],[thursday]) ).

thf(thursday_follows_wednesday,axiom,
    ! [X: $i] :
      ( ( thursday @ X )
     => ( wednesday @ ( yesterday @ X ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( wednesday @ ( yesterday @ X0 ) )
      | ~ ( thursday @ X0 ) ),
    inference(cnf,[status(esa)],[thursday_follows_wednesday]) ).

thf(wednesday_is_a_day,axiom,
    ! [X: $i] :
      ( ( wednesday @ X )
     => ( day @ X ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( day @ X0 )
      | ~ ( wednesday @ X0 ) ),
    inference(cnf,[status(esa)],[wednesday_is_a_day]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ~ ( thursday @ X0 )
      | ( day @ ( yesterday @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl9]) ).

thf(zip_derived_cl85,plain,
    day @ ( yesterday @ a_thursday ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl58]) ).

thf(unicorn_lies_on_both,axiom,
    ! [X: $i] :
      ( ( day @ X )
     => ! [Y: $i] :
          ( ( day @ Y )
         => ( ( ( unicorn_lies @ X )
              & ~ ( lies_on_one_of @ a_unicorn @ X @ Y ) )
           => ( unicorn_lies @ Y ) ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( day @ X0 )
      | ( unicorn_lies @ X0 )
      | ( lies_on_one_of @ a_unicorn @ X1 @ X0 )
      | ~ ( unicorn_lies @ X1 )
      | ~ ( day @ X1 ) ),
    inference(cnf,[status(esa)],[unicorn_lies_on_both]) ).

thf(unicorn_lies_on_a_day,axiom,
    ! [X: $i] :
      ( ( unicorn_lies @ X )
     => ( day @ X ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ( day @ X0 )
      | ~ ( unicorn_lies @ X0 ) ),
    inference(cnf,[status(esa)],[unicorn_lies_on_a_day]) ).

thf(zip_derived_cl185,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unicorn_lies @ X1 )
      | ( lies_on_one_of @ a_unicorn @ X1 @ X0 )
      | ( unicorn_lies @ X0 )
      | ~ ( day @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl36]) ).

thf(prove_there_are_close_lying_days,conjecture,
    ? [X: $i] :
      ( ( lies_on_one_of @ a_unicorn @ X @ ( yesterday @ X ) )
      & ( lies_on_one_of @ a_lion @ X @ ( yesterday @ X ) )
      & ( day @ X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i] :
        ( ( lies_on_one_of @ a_unicorn @ X @ ( yesterday @ X ) )
        & ( lies_on_one_of @ a_lion @ X @ ( yesterday @ X ) )
        & ( day @ X ) ),
    inference('cnf.neg',[status(esa)],[prove_there_are_close_lying_days]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ~ ( lies_on_one_of @ a_unicorn @ X0 @ ( yesterday @ X0 ) )
      | ~ ( lies_on_one_of @ a_lion @ X0 @ ( yesterday @ X0 ) )
      | ~ ( day @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl188,plain,
    ! [X0: $i] :
      ( ~ ( day @ ( yesterday @ X0 ) )
      | ( unicorn_lies @ ( yesterday @ X0 ) )
      | ~ ( unicorn_lies @ X0 )
      | ~ ( lies_on_one_of @ a_lion @ X0 @ ( yesterday @ X0 ) )
      | ~ ( day @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl45]) ).

thf(zip_derived_cl36_001,plain,
    ! [X0: $i] :
      ( ( day @ X0 )
      | ~ ( unicorn_lies @ X0 ) ),
    inference(cnf,[status(esa)],[unicorn_lies_on_a_day]) ).

thf(zip_derived_cl346,plain,
    ! [X0: $i] :
      ( ~ ( lies_on_one_of @ a_lion @ X0 @ ( yesterday @ X0 ) )
      | ~ ( unicorn_lies @ X0 )
      | ( unicorn_lies @ ( yesterday @ X0 ) )
      | ~ ( day @ ( yesterday @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl188,zip_derived_cl36]) ).

thf(zip_derived_cl351,plain,
    ( ~ ( lies_on_one_of @ a_lion @ a_thursday @ ( yesterday @ a_thursday ) )
    | ~ ( unicorn_lies @ a_thursday )
    | ( unicorn_lies @ ( yesterday @ a_thursday ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl346]) ).

thf(zip_derived_cl3_002,plain,
    thursday @ a_thursday,
    inference(cnf,[status(esa)],[thursday]) ).

thf(unicorn_lies_thursday,axiom,
    ! [X: $i] :
      ( ( thursday @ X )
     => ( unicorn_lies @ X ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( unicorn_lies @ X0 )
      | ~ ( thursday @ X0 ) ),
    inference(cnf,[status(esa)],[unicorn_lies_thursday]) ).

thf(zip_derived_cl84,plain,
    unicorn_lies @ a_thursday,
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl31]) ).

thf(zip_derived_cl3_003,plain,
    thursday @ a_thursday,
    inference(cnf,[status(esa)],[thursday]) ).

thf(zip_derived_cl17_004,plain,
    ! [X0: $i] :
      ( ( wednesday @ ( yesterday @ X0 ) )
      | ~ ( thursday @ X0 ) ),
    inference(cnf,[status(esa)],[thursday_follows_wednesday]) ).

thf(unicorn_does_not_lie_wednesday,axiom,
    ! [X: $i] :
      ( ( wednesday @ X )
     => ~ ( unicorn_lies @ X ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ~ ( unicorn_lies @ X0 )
      | ~ ( wednesday @ X0 ) ),
    inference(cnf,[status(esa)],[unicorn_does_not_lie_wednesday]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i] :
      ( ~ ( thursday @ X0 )
      | ~ ( unicorn_lies @ ( yesterday @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl30]) ).

thf(zip_derived_cl88,plain,
    ~ ( unicorn_lies @ ( yesterday @ a_thursday ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl61]) ).

thf(zip_derived_cl377,plain,
    ~ ( lies_on_one_of @ a_lion @ a_thursday @ ( yesterday @ a_thursday ) ),
    inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl84,zip_derived_cl88]) ).

thf(zip_derived_cl400,plain,
    ( ~ ( lion_lies @ ( yesterday @ a_thursday ) )
    | ( lion_lies @ a_thursday )
    | ~ ( day @ a_thursday ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl377]) ).

thf(zip_derived_cl3_005,plain,
    thursday @ a_thursday,
    inference(cnf,[status(esa)],[thursday]) ).

thf(zip_derived_cl17_006,plain,
    ! [X0: $i] :
      ( ( wednesday @ ( yesterday @ X0 ) )
      | ~ ( thursday @ X0 ) ),
    inference(cnf,[status(esa)],[thursday_follows_wednesday]) ).

thf(lion_lies_wednesday,axiom,
    ! [X: $i] :
      ( ( wednesday @ X )
     => ( lion_lies @ X ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( lion_lies @ X0 )
      | ~ ( wednesday @ X0 ) ),
    inference(cnf,[status(esa)],[lion_lies_wednesday]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i] :
      ( ~ ( thursday @ X0 )
      | ( lion_lies @ ( yesterday @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl23]) ).

thf(zip_derived_cl87,plain,
    lion_lies @ ( yesterday @ a_thursday ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl60]) ).

thf(zip_derived_cl3_007,plain,
    thursday @ a_thursday,
    inference(cnf,[status(esa)],[thursday]) ).

thf(lion_does_not_lie_thursday,axiom,
    ! [X: $i] :
      ( ( thursday @ X )
     => ~ ( lion_lies @ X ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ~ ( lion_lies @ X0 )
      | ~ ( thursday @ X0 ) ),
    inference(cnf,[status(esa)],[lion_does_not_lie_thursday]) ).

thf(zip_derived_cl83,plain,
    ~ ( lion_lies @ a_thursday ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl24]) ).

thf(zip_derived_cl3_008,plain,
    thursday @ a_thursday,
    inference(cnf,[status(esa)],[thursday]) ).

thf(thursday_is_a_day,axiom,
    ! [X: $i] :
      ( ( thursday @ X )
     => ( day @ X ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( day @ X0 )
      | ~ ( thursday @ X0 ) ),
    inference(cnf,[status(esa)],[thursday_is_a_day]) ).

thf(zip_derived_cl82,plain,
    day @ a_thursday,
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).

thf(zip_derived_cl402,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl400,zip_derived_cl87,zip_derived_cl83,zip_derived_cl82]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ005+1 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9ikOfAn1Tm true
% 0.14/0.35  % Computer : n017.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 : Sat Aug 26 21:42:26 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.81/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.81/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.79  % Solved by fo/fo6_bce.sh.
% 1.28/0.79  % BCE start: 46
% 1.28/0.79  % BCE eliminated: 0
% 1.28/0.79  % PE start: 46
% 1.28/0.79  logic: neq
% 1.28/0.79  % PE eliminated: -57
% 1.28/0.79  % done 238 iterations in 0.060s
% 1.28/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.28/0.79  % SZS output start Refutation
% See solution above
% 1.28/0.79  
% 1.28/0.79  
% 1.28/0.79  % Terminating...
% 1.69/0.85  % Runner terminated.
% 1.69/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------