TSTP Solution File: SYN326+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN326+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.z5R9e25v3H 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 : Fri Sep  1 04:02:43 EDT 2023

% Result   : Theorem 1.14s 0.75s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   4 unt;   5 typ;   0 def)
%            Number of atoms       :   32 (   0 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   87 (   5   ~;   5   |;   0   &;  61   @)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  12   !;   2   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_h_type,type,
    big_h: $i > $o ).

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

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

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

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

thf(church_46_12_1,conjecture,
    ? [X: $i] :
    ! [Y: $i,Z: $i] :
      ( ( ( ( big_f @ Y @ Z )
         => ( ( big_g @ Y )
           => ( big_h @ X ) ) )
       => ( big_f @ X @ X ) )
     => ( ( ( ( big_f @ Z @ X )
           => ( big_g @ X ) )
         => ( big_h @ Z ) )
       => ( ( big_f @ X @ Y )
         => ( big_f @ Z @ Z ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i] :
      ! [Y: $i,Z: $i] :
        ( ( ( ( big_f @ Y @ Z )
           => ( ( big_g @ Y )
             => ( big_h @ X ) ) )
         => ( big_f @ X @ X ) )
       => ( ( ( ( big_f @ Z @ X )
             => ( big_g @ X ) )
           => ( big_h @ Z ) )
         => ( ( big_f @ X @ Y )
           => ( big_f @ Z @ Z ) ) ) ),
    inference('cnf.neg',[status(esa)],[church_46_12_1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ~ ( big_f @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( big_f @ X0 @ X0 )
      | ( big_g @ ( sk_ @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( big_h @ ( sk__1 @ X0 ) )
      | ~ ( big_g @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( big_f @ X0 @ X0 )
      | ( big_h @ ( sk__1 @ ( sk_ @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( big_f @ X0 @ X0 )
      | ~ ( big_h @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( big_f @ X0 @ X0 )
      | ( big_f @ ( sk__1 @ ( sk_ @ X0 ) ) @ ( sk__1 @ ( sk_ @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: $i] :
      ~ ( big_f @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] : ( big_f @ X0 @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).

thf(zip_derived_cl10,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN326+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z5R9e25v3H true
% 0.15/0.35  % Computer : n017.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 21:18:26 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.95/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.14/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.14/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.14/0.75  % Solved by fo/fo6_bce.sh.
% 1.14/0.75  % BCE start: 7
% 1.14/0.75  % BCE eliminated: 3
% 1.14/0.75  % PE start: 4
% 1.14/0.75  logic: neq
% 1.14/0.75  % PE eliminated: 2
% 1.14/0.75  % done 1 iterations in 0.005s
% 1.14/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.14/0.75  % SZS output start Refutation
% See solution above
% 1.14/0.75  
% 1.14/0.75  
% 1.14/0.75  % Terminating...
% 1.14/0.77  % Runner terminated.
% 1.14/0.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------