TSTP Solution File: SYN334+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN334+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OSDiQonlmE true

% 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 : Fri Sep  1 04:02:47 EDT 2023

% Result   : Theorem 0.20s 0.76s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   40 (   5 unt;   5 typ;   0 def)
%            Number of atoms       :   89 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  349 (  36   ~;  33   |;   0   &; 259   @)
%                                         (  10 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   67 (   0   ^;  61   !;   6   ?;  67   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_g_type,type,
    big_g: $i > $i > $o ).

thf(big_f_type,type,
    big_f: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $o ).

thf(church_46_14_6,conjecture,
    ? [X: $i,Y: $i] :
    ! [Z: $i] :
      ( ( ( big_f @ X @ Y )
       => ( ( big_f @ X @ Z )
        <=> ( big_g @ Y @ Z ) ) )
     => ( ( ( big_f @ X @ Y )
        <=> ( ( big_f @ Z @ Z )
           => ( big_g @ Z @ Z ) ) )
       => ( ( big_g @ X @ Y )
        <=> ( big_g @ Z @ Z ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_0: $i > $o ).

thf(zf_stmt_1,axiom,
    ! [Z: $i] :
      ( ( zip_tseitin_0 @ Z )
    <=> ( ( big_f @ Z @ Z )
       => ( big_g @ Z @ Z ) ) ) ).

thf(zf_stmt_2,conjecture,
    ? [X: $i,Y: $i] :
    ! [Z: $i] :
      ( ( ( big_f @ X @ Y )
       => ( ( big_f @ X @ Z )
        <=> ( big_g @ Y @ Z ) ) )
     => ( ( ( big_f @ X @ Y )
        <=> ( zip_tseitin_0 @ Z ) )
       => ( ( big_g @ X @ Y )
        <=> ( big_g @ Z @ Z ) ) ) ) ).

thf(zf_stmt_3,negated_conjecture,
    ~ ? [X: $i,Y: $i] :
      ! [Z: $i] :
        ( ( ( big_f @ X @ Y )
         => ( ( big_f @ X @ Z )
          <=> ( big_g @ Y @ Z ) ) )
       => ( ( ( big_f @ X @ Y )
          <=> ( zip_tseitin_0 @ Z ) )
         => ( ( big_g @ X @ Y )
          <=> ( big_g @ Z @ Z ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ ( sk_ @ X0 @ X1 ) )
      | ~ ( big_f @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ~ ( big_f @ X0 @ X0 )
      | ( big_g @ X0 @ X0 )
      | ~ ( zip_tseitin_0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X0 @ X1 )
      | ( big_g @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) )
      | ~ ( big_f @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_0 @ X0 )
      | ~ ( big_g @ X0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ X1 @ X0 )
      | ~ ( zip_tseitin_0 @ ( sk_ @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_g @ ( sk_ @ X0 @ X1 ) @ ( sk_ @ X0 @ X1 ) )
      | ( big_f @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_g @ ( sk_ @ X0 @ X1 ) @ ( sk_ @ X0 @ X1 ) )
      | ( big_g @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ X0 @ X1 )
      | ( big_g @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl5]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_g @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) )
      | ~ ( big_f @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl11,zip_derived_cl16]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_g @ ( sk_ @ X0 @ X1 ) @ ( sk_ @ X0 @ X1 ) )
      | ~ ( big_g @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X0 @ X1 )
      | ~ ( big_g @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl6]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X1 @ ( sk_ @ X0 @ X1 ) )
      | ( big_g @ X0 @ ( sk_ @ X0 @ X1 ) )
      | ~ ( big_f @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X1 @ ( sk_ @ X1 @ X0 ) )
      | ~ ( big_f @ X0 @ X1 )
      | ~ ( big_f @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl4]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i] :
      ( ~ ( big_f @ X0 @ ( sk_ @ X0 @ X0 ) )
      | ~ ( big_f @ X0 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl16_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ X0 @ X1 )
      | ( big_g @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl5]) ).

thf(zip_derived_cl6_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_g @ ( sk_ @ X0 @ X1 ) @ ( sk_ @ X0 @ X1 ) )
      | ~ ( big_g @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) )
      | ~ ( big_g @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl6]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_g @ X0 @ ( sk_ @ X0 @ X1 ) )
      | ( big_f @ X1 @ ( sk_ @ X0 @ X1 ) )
      | ~ ( big_f @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl16_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ X0 @ X1 )
      | ( big_g @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl5]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X0 @ X1 )
      | ( big_f @ X0 @ ( sk_ @ X1 @ X0 ) )
      | ( big_f @ X1 @ ( sk_ @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl16]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_g @ X0 @ X1 )
      | ( big_f @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) ) )
      | ( big_f @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl22]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) ) )
      | ~ ( big_g @ X0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) )
      | ~ ( big_g @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl30]) ).

thf(zip_derived_cl18_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) )
      | ~ ( big_g @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl6]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i] :
      ~ ( big_g @ X0 @ X1 ),
    inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl18]) ).

thf(zip_derived_cl16_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ X0 @ X1 )
      | ( big_g @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl5]) ).

thf(zip_derived_cl67_006,plain,
    ! [X0: $i,X1: $i] :
      ~ ( big_g @ X0 @ X1 ),
    inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl18]) ).

thf(zip_derived_cl32_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_g @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) )
      | ~ ( big_f @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl11,zip_derived_cl16]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i] :
      ~ ( big_f @ X0 @ X1 ),
    inference('sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl32]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i,X1: $i] : ( big_g @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl72]) ).

thf(zip_derived_cl79,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl77]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN334+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OSDiQonlmE true
% 0.12/0.35  % Computer : n015.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Sat Aug 26 19:09:53 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.36  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.76  % Solved by fo/fo3_bce.sh.
% 0.20/0.76  % BCE start: 9
% 0.20/0.76  % BCE eliminated: 0
% 0.20/0.76  % PE start: 9
% 0.20/0.76  logic: neq
% 0.20/0.76  % PE eliminated: 2
% 0.20/0.76  % done 32 iterations in 0.018s
% 0.20/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.76  % SZS output start Refutation
% See solution above
% 0.20/0.76  
% 0.20/0.76  
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76  % Terminating...
% 1.45/0.84  % Runner terminated.
% 1.45/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------