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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ005+1 : TPTP v9.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qqvuxfNFyc true

% Computer : n020.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 Oct  2 04:49:27 PM UTC 2025

% Result   : Theorem 1.30s 0.77s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   45 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :  116 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  308 (  61   ~;  50   |;   6   &; 176   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :   48 (   0   ^;  46   !;   2   ?;  48   :)

% 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(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(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_cl113,plain,
    ! [X0: $i] :
      ( ~ ( thursday @ X0 )
      | ( lion_lies @ ( yesterday @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl23]) ).

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_cl48,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(zip_derived_cl17_001,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_cl112,plain,
    ! [X0: $i] :
      ( ~ ( thursday @ X0 )
      | ( day @ ( yesterday @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl9]) ).

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_cl53,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_cl146,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_cl53,zip_derived_cl45]) ).

thf(zip_derived_cl36_002,plain,
    ! [X0: $i] :
      ( ( day @ X0 )
      | ~ ( unicorn_lies @ X0 ) ),
    inference(cnf,[status(esa)],[unicorn_lies_on_a_day]) ).

thf(zip_derived_cl148,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_cl146,zip_derived_cl36]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i] :
      ( ~ ( thursday @ X0 )
      | ~ ( lies_on_one_of @ a_lion @ X0 @ ( yesterday @ X0 ) )
      | ~ ( unicorn_lies @ X0 )
      | ( unicorn_lies @ ( yesterday @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl148]) ).

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_cl170,plain,
    ! [X0: $i] :
      ( ( unicorn_lies @ ( yesterday @ X0 ) )
      | ~ ( lies_on_one_of @ a_lion @ X0 @ ( yesterday @ X0 ) )
      | ~ ( thursday @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl167,zip_derived_cl31]) ).

thf(zip_derived_cl17_003,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_cl114,plain,
    ! [X0: $i] :
      ( ~ ( thursday @ X0 )
      | ~ ( unicorn_lies @ ( yesterday @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl30]) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i] :
      ( ~ ( thursday @ X0 )
      | ~ ( lies_on_one_of @ a_lion @ X0 @ ( yesterday @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl170,zip_derived_cl114]) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i] :
      ( ~ ( lion_lies @ ( yesterday @ X0 ) )
      | ( lion_lies @ X0 )
      | ~ ( day @ X0 )
      | ~ ( thursday @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl171]) ).

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_cl174,plain,
    ! [X0: $i] :
      ( ~ ( thursday @ X0 )
      | ~ ( day @ X0 )
      | ~ ( lion_lies @ ( yesterday @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl24]) ).

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_cl175,plain,
    ! [X0: $i] :
      ( ~ ( lion_lies @ ( yesterday @ X0 ) )
      | ~ ( thursday @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl174,zip_derived_cl10]) ).

thf(zip_derived_cl225,plain,
    ! [X0: $i] :
      ~ ( thursday @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl113,zip_derived_cl175]) ).

thf(thursday,axiom,
    thursday @ a_thursday ).

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

thf(zip_derived_cl226,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl225,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : PUZ005+1 : TPTP v9.2.0. Released v2.2.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qqvuxfNFyc true
% 0.10/0.31  % Computer : n020.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 15:08:53 EDT 2025
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in FO mode
% 0.66/0.60  % Total configuration time : 435
% 0.66/0.60  % Estimated wc time : 1092
% 0.66/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.92/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.92/0.67  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.92/0.68  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.92/0.68  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.92/0.68  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.92/0.68  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.24/0.71  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.24/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.30/0.77  % Solved by fo/fo13.sh.
% 1.30/0.77  % done 157 iterations in 0.065s
% 1.30/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.30/0.77  % SZS output start Refutation
% See solution above
% 1.30/0.77  
% 1.30/0.77  
% 1.30/0.77  % Terminating...
% 1.30/0.80  % Runner terminated.
% 1.30/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------