TSTP Solution File: ITP302_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP302_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.olep0dZwVs true

% Computer : n014.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 05:24:35 EDT 2023

% Result   : Theorem 1.36s 0.87s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   35 (  10 unt;  20 typ;   0 def)
%            Number of atoms       :   22 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   82 (   9   ~;   4   |;   1   &;  66   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    9 (   8 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   0   ^;   6   !;   0   ?;   6   :)

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

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

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

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

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

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

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

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

thf('fun_app$m_type',type,
    'fun_app$m': 'B_set_bool_fun$' > 'B_set$' > $o ).

thf('mor$_type',type,
    'mor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_set$' ).

thf('category$_type',type,
    'category$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).

thf('c$_type',type,
    'c$': 'A_b_b_c_LSCategory_ext_Category_ext$' ).

thf('obj$_type',type,
    'obj$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_set$' ).

thf('member$c_type',type,
    'member$c': 'A$' > 'A_set_bool_fun$' ).

thf('fun_app$bk_type',type,
    'fun_app$bk': 'B_a_fun$' > 'B$' > 'A$' ).

thf('member$b_type',type,
    'member$b': 'B$' > 'B_set_bool_fun$' ).

thf('dom$_type',type,
    'dom$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_fun$' ).

thf('lSCategory$_type',type,
    'lSCategory$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).

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

thf('fun_app$p_type',type,
    'fun_app$p': 'A_set_bool_fun$' > 'A_set$' > $o ).

thf(axiom212,axiom,
    ! [A__questionmark_v0: 'A_b_b_c_LSCategory_ext_Category_ext$'] :
      ( ( 'lSCategory$' @ A__questionmark_v0 )
     => ( 'category$' @ A__questionmark_v0 ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$'] :
      ( ( 'category$' @ X0 )
      | ~ ( 'lSCategory$' @ X0 ) ),
    inference(cnf,[status(esa)],[axiom212]) ).

thf(axiom203,axiom,
    ! [A__questionmark_v0: 'A_b_b_c_LSCategory_ext_Category_ext$',A__questionmark_v1: 'B$'] :
      ( ( ( 'category$' @ A__questionmark_v0 )
        & ( 'fun_app$m' @ ( 'member$b' @ A__questionmark_v1 ) @ ( 'mor$' @ A__questionmark_v0 ) ) )
     => ( 'fun_app$p' @ ( 'member$c' @ ( 'fun_app$bk' @ ( 'dom$' @ A__questionmark_v0 ) @ A__questionmark_v1 ) ) @ ( 'obj$' @ A__questionmark_v0 ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'B$'] :
      ( ~ ( 'category$' @ X0 )
      | ~ ( 'fun_app$m' @ ( 'member$b' @ X1 ) @ ( 'mor$' @ X0 ) )
      | ( 'fun_app$p' @ ( 'member$c' @ ( 'fun_app$bk' @ ( 'dom$' @ X0 ) @ X1 ) ) @ ( 'obj$' @ X0 ) ) ),
    inference(cnf,[status(esa)],[axiom203]) ).

thf(conjecture185,conjecture,
    'fun_app$p' @ ( 'member$c' @ ( 'fun_app$bk' @ ( 'dom$' @ 'c$' ) @ 'f$' ) ) @ ( 'obj$' @ 'c$' ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( 'fun_app$p' @ ( 'member$c' @ ( 'fun_app$bk' @ ( 'dom$' @ 'c$' ) @ 'f$' ) ) @ ( 'obj$' @ 'c$' ) ),
    inference('cnf.neg',[status(esa)],[conjecture185]) ).

thf(zip_derived_cl38,plain,
    ~ ( 'fun_app$p' @ ( 'member$c' @ ( 'fun_app$bk' @ ( 'dom$' @ 'c$' ) @ 'f$' ) ) @ ( 'obj$' @ 'c$' ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56,plain,
    ( ~ ( 'fun_app$m' @ ( 'member$b' @ 'f$' ) @ ( 'mor$' @ 'c$' ) )
    | ~ ( 'category$' @ 'c$' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl38]) ).

thf(axiom187,axiom,
    'fun_app$m' @ ( 'member$b' @ 'f$' ) @ ( 'mor$' @ 'c$' ) ).

thf(zip_derived_cl1,plain,
    'fun_app$m' @ ( 'member$b' @ 'f$' ) @ ( 'mor$' @ 'c$' ),
    inference(cnf,[status(esa)],[axiom187]) ).

thf(zip_derived_cl60,plain,
    ~ ( 'category$' @ 'c$' ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl1]) ).

thf(zip_derived_cl61,plain,
    ~ ( 'lSCategory$' @ 'c$' ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl60]) ).

thf(axiom186,axiom,
    'lSCategory$' @ 'c$' ).

thf(zip_derived_cl0,plain,
    'lSCategory$' @ 'c$',
    inference(cnf,[status(esa)],[axiom186]) ).

thf(zip_derived_cl62,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP302_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.olep0dZwVs true
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 12:51:46 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.86  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.36/0.87  % Solved by fo/fo7.sh.
% 1.36/0.87  % done 20 iterations in 0.087s
% 1.36/0.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.87  % SZS output start Refutation
% See solution above
% 1.36/0.87  
% 1.36/0.87  
% 1.36/0.87  % Terminating...
% 1.57/0.97  % Runner terminated.
% 1.57/0.98  % Zipperpin 1.5 exiting
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