↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP325_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QUkDwJnGiY true

% Computer : n003.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 04:39:56 PM UTC 2025

% Result   : Theorem 0.63s 0.94s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    6 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :    6 (   5 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   67 (   2   ~;   0   |;   0   &;  65   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Number of types       :    9 (   9 usr)
%            Number of type conns  :    0 (   0   >;   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(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_cl134,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(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_cl133,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(zip_derived_cl773,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl134,zip_derived_cl133]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : ITP325_1 : TPTP v9.2.0. Released v8.0.0.
% 0.09/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QUkDwJnGiY true
% 0.15/0.37  % Computer : n003.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Wed Oct  1 15:34:08 EDT 2025
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.38  % Running in FO mode
% 0.62/0.72  % Total configuration time : 435
% 0.62/0.72  % Estimated wc time : 1092
% 0.62/0.72  % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.80  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.80  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.81  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.81  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.82  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.83  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.84  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.94  % Solved by fo/fo13.sh.
% 0.63/0.94  % done 0 iterations in 0.103s
% 0.63/0.94  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.63/0.94  % SZS output start Refutation
% See solution above
% 0.63/0.94  
% 0.63/0.94  
% 0.63/0.94  % Terminating...
% 0.64/1.03  % Runner terminated.
% 0.64/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------