TSTP Solution File: SYN350+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN350+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UUN33a8MSf 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 : Fri Sep  1 04:02:55 EDT 2023

% Result   : Theorem 0.21s 0.76s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   5 unt;   5 typ;   0 def)
%            Number of atoms       :   39 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  144 (  12   ~;   9   |;   2   &; 109   @)
%                                         (   7 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   2 con; 0-3 aty)
%            Number of variables   :   36 (   0   ^;  30   !;   6   ?;  36   :)

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

thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

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

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

thf(church_46_18_2,conjecture,
    ! [X: $i] :
    ? [Y1: $i,Y2: $i] :
    ! [Z: $i] :
      ( ( ( big_f @ X @ Z )
      <=> ( big_f @ Z @ X ) )
     => ( ( big_f @ X @ Z )
      <=> ( ( ( big_f @ Y1 @ Z )
           => ( big_f @ Y1 @ Y2 ) )
          & ( big_f @ Y2 @ Z ) ) ) ) ).

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

thf(zf_stmt_1,axiom,
    ! [Z: $i,Y2: $i,Y1: $i] :
      ( ( zip_tseitin_0 @ Z @ Y2 @ Y1 )
    <=> ( ( big_f @ Y2 @ Z )
        & ( ( big_f @ Y1 @ Z )
         => ( big_f @ Y1 @ Y2 ) ) ) ) ).

thf(zf_stmt_2,conjecture,
    ! [X: $i] :
    ? [Y1: $i,Y2: $i] :
    ! [Z: $i] :
      ( ( ( big_f @ X @ Z )
      <=> ( big_f @ Z @ X ) )
     => ( ( big_f @ X @ Z )
      <=> ( zip_tseitin_0 @ Z @ Y2 @ Y1 ) ) ) ).

thf(zf_stmt_3,negated_conjecture,
    ~ ! [X: $i] :
      ? [Y1: $i,Y2: $i] :
      ! [Z: $i] :
        ( ( ( big_f @ X @ Z )
        <=> ( big_f @ Z @ X ) )
       => ( ( big_f @ X @ Z )
        <=> ( zip_tseitin_0 @ Z @ Y2 @ Y1 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ ( sk__1 @ X0 @ X1 ) @ X0 @ X1 )
      | ( big_f @ sk_ @ ( sk__1 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( big_f @ X0 @ X1 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ sk_ @ ( sk__1 @ X1 @ X0 ) )
      | ( big_f @ X1 @ ( sk__1 @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] : ( big_f @ sk_ @ ( sk__1 @ sk_ @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ ( sk__1 @ X0 @ X1 ) @ sk_ )
      | ~ ( big_f @ sk_ @ ( sk__1 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl19_001,plain,
    ! [X0: $i] : ( big_f @ sk_ @ ( sk__1 @ sk_ @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
      | ~ ( big_f @ X2 @ X1 )
      | ~ ( big_f @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_0 @ ( sk__1 @ X0 @ X1 ) @ X0 @ X1 )
      | ~ ( big_f @ sk_ @ ( sk__1 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X1 @ ( sk__1 @ X1 @ X0 ) )
      | ~ ( big_f @ X0 @ X1 )
      | ~ ( big_f @ sk_ @ ( sk__1 @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl6]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ~ ( big_f @ X0 @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl15]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ~ ( big_f @ sk_ @ ( sk__1 @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5,zip_derived_cl21]) ).

thf(zip_derived_cl28,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl25]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN350+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UUN33a8MSf true
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 16:51:14 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76  % Solved by fo/fo6_bce.sh.
% 0.21/0.76  % BCE start: 8
% 0.21/0.76  % BCE eliminated: 0
% 0.21/0.76  % PE start: 8
% 0.21/0.76  logic: neq
% 0.21/0.76  % PE eliminated: 2
% 0.21/0.76  % done 8 iterations in 0.009s
% 0.21/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.76  % SZS output start Refutation
% See solution above
% 0.21/0.76  
% 0.21/0.76  
% 0.21/0.76  % Terminating...
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.56/0.85  % Runner terminated.
% 1.58/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------