TSTP Solution File: ITP325_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP325_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TNTgj8f80q true

% Computer : n028.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 05:24:40 EDT 2023

% Result   : Theorem 1.29s 0.83s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   29 (   7 unt;  22 typ;   0 def)
%            Number of atoms       :    7 (   6 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   68 (   3   ~;   0   |;   0   &;  65   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Number of types       :    9 (   9 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf('A_b_vec_n_vec$_type',type,
    'A_b_vec_n_vec$': $tType ).

thf('A_a_b_vec_n_vec_fun$_type',type,
    'A_a_b_vec_n_vec_fun$': $tType ).

thf('N$_type',type,
    'N$': $tType ).

thf('A$_type',type,
    'A$': $tType ).

thf('A_a_fun$_type',type,
    'A_a_fun$': $tType ).

thf('B_a_fun$_type',type,
    'B_a_fun$': $tType ).

thf('A_b_vec$_type',type,
    'A_b_vec$': $tType ).

thf('N_a_b_vec_fun$_type',type,
    'N_a_b_vec_fun$': $tType ).

thf('B$_type',type,
    'B$': $tType ).

thf('fun_app$m_type',type,
    'fun_app$m': 'A_a_fun$' > 'A$' > 'A$' ).

thf('vec_nth$a_type',type,
    'vec_nth$a': 'A_b_vec_n_vec$' > 'N_a_b_vec_fun$' ).

thf('fun_app$a_type',type,
    'fun_app$a': 'B_a_fun$' > 'B$' > 'A$' ).

thf('j$_type',type,
    'j$': 'B$' ).

thf('divide$_type',type,
    'divide$': 'A$' > 'A_a_fun$' ).

thf('interchange_A$_type',type,
    'interchange_A$': 'A_b_vec_n_vec$' ).

thf('one$_type',type,
    'one$': 'A$' ).

thf('fun_app$n_type',type,
    'fun_app$n': 'A_a_b_vec_n_vec_fun$' > 'A$' > 'A_b_vec_n_vec$' ).

thf('a$a_type',type,
    'a$a': 'A_b_vec_n_vec$' ).

thf('mult_row$_type',type,
    'mult_row$': 'A_b_vec_n_vec$' > 'N$' > 'A_a_b_vec_n_vec_fun$' ).

thf('vec_nth$_type',type,
    'vec_nth$': 'A_b_vec$' > 'B_a_fun$' ).

thf('i$_type',type,
    'i$': 'N$' ).

thf('fun_app$b_type',type,
    'fun_app$b': 'N_a_b_vec_fun$' > 'N$' > 'A_b_vec$' ).

thf(conjecture104,conjecture,
    ( 'a$a'
    = ( 'fun_app$n' @ ( 'mult_row$' @ 'interchange_A$' @ 'i$' ) @ ( 'fun_app$m' @ ( 'divide$' @ 'one$' ) @ ( 'fun_app$a' @ ( 'vec_nth$' @ ( 'fun_app$b' @ ( 'vec_nth$a' @ 'interchange_A$' ) @ 'i$' ) ) @ 'j$' ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( 'a$a'
   != ( 'fun_app$n' @ ( 'mult_row$' @ 'interchange_A$' @ 'i$' ) @ ( 'fun_app$m' @ ( 'divide$' @ 'one$' ) @ ( 'fun_app$a' @ ( 'vec_nth$' @ ( 'fun_app$b' @ ( 'vec_nth$a' @ 'interchange_A$' ) @ 'i$' ) ) @ 'j$' ) ) ) ),
    inference('cnf.neg',[status(esa)],[conjecture104]) ).

thf(zip_derived_cl21,plain,
    ( 'a$a'
   != ( 'fun_app$n' @ ( 'mult_row$' @ 'interchange_A$' @ 'i$' ) @ ( 'fun_app$m' @ ( 'divide$' @ 'one$' ) @ ( 'fun_app$a' @ ( 'vec_nth$' @ ( 'fun_app$b' @ ( 'vec_nth$a' @ 'interchange_A$' ) @ 'i$' ) ) @ 'j$' ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(axiom105,axiom,
    ( 'a$a'
    = ( 'fun_app$n' @ ( 'mult_row$' @ 'interchange_A$' @ 'i$' ) @ ( 'fun_app$m' @ ( 'divide$' @ 'one$' ) @ ( 'fun_app$a' @ ( 'vec_nth$' @ ( 'fun_app$b' @ ( 'vec_nth$a' @ 'interchange_A$' ) @ 'i$' ) ) @ 'j$' ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ( 'a$a'
    = ( 'fun_app$n' @ ( 'mult_row$' @ 'interchange_A$' @ 'i$' ) @ ( 'fun_app$m' @ ( 'divide$' @ 'one$' ) @ ( 'fun_app$a' @ ( 'vec_nth$' @ ( 'fun_app$b' @ ( 'vec_nth$a' @ 'interchange_A$' ) @ 'i$' ) ) @ 'j$' ) ) ) ),
    inference(cnf,[status(esa)],[axiom105]) ).

thf(zip_derived_cl36,plain,
    'a$a' != 'a$a',
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl0]) ).

thf(zip_derived_cl37,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl36]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP325_1 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TNTgj8f80q true
% 0.13/0.35  % Computer : n028.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 : Sun Aug 27 15:15:23 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.20/0.67  % Total configuration time : 435
% 0.20/0.67  % Estimated wc time : 1092
% 0.20/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.93/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.93/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.83  % Solved by fo/fo4.sh.
% 1.29/0.83  % done 15 iterations in 0.036s
% 1.29/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/0.83  % SZS output start Refutation
% See solution above
% 1.29/0.83  
% 1.29/0.83  
% 1.29/0.83  % Terminating...
% 1.29/0.88  % Runner terminated.
% 1.29/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------