TSTP Solution File: ITP399_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP399_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.fnUuASMp2l true

% Computer : n009.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 05:24:51 EDT 2023

% Result   : Theorem 0.50s 0.84s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   21 (   7 unt;  12 typ;   0 def)
%            Number of atoms       :   11 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   51 (   4   ~;   1   |;   0   &;  45   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf('A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_type',type,
    'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

thf('C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_type',type,
    'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

thf('A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_type',type,
    'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

thf('A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_type',type,
    'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

thf('A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$_type',type,
    'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).

thf('register_pair$a_type',type,
    'register_pair$a': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

thf('f$_type',type,
    'f$': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

thf('complement$_type',type,
    'complement$': 'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

thf('complements$_type',type,
    'complements$': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

thf('g$_type',type,
    'g$': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

thf('compatible$_type',type,
    'compatible$': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).

thf('register_pair$_type',type,
    'register_pair$': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).

thf(axiom18,axiom,
    ! [A__questionmark_v0: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',A__questionmark_v1: 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] :
      ( ( 'compatible$' @ A__questionmark_v0 @ A__questionmark_v1 )
     => ( 'complements$' @ A__questionmark_v1 @ ( 'register_pair$' @ A__questionmark_v0 @ ( 'complement$' @ ( 'register_pair$a' @ A__questionmark_v0 @ A__questionmark_v1 ) ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'] :
      ( ( 'complements$' @ X0 @ ( 'register_pair$' @ X1 @ ( 'complement$' @ ( 'register_pair$a' @ X1 @ X0 ) ) ) )
      | ~ ( 'compatible$' @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom18]) ).

thf(conjecture0,conjecture,
    'complements$' @ 'g$' @ ( 'register_pair$' @ 'f$' @ ( 'complement$' @ ( 'register_pair$a' @ 'f$' @ 'g$' ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( 'complements$' @ 'g$' @ ( 'register_pair$' @ 'f$' @ ( 'complement$' @ ( 'register_pair$a' @ 'f$' @ 'g$' ) ) ) ),
    inference('cnf.neg',[status(esa)],[conjecture0]) ).

thf(zip_derived_cl15,plain,
    ~ ( 'complements$' @ 'g$' @ ( 'register_pair$' @ 'f$' @ ( 'complement$' @ ( 'register_pair$a' @ 'f$' @ 'g$' ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ~ ( 'compatible$' @ 'f$' @ 'g$' ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl15]) ).

thf(axiom3,axiom,
    'compatible$' @ 'f$' @ 'g$' ).

thf(zip_derived_cl0,plain,
    'compatible$' @ 'f$' @ 'g$',
    inference(cnf,[status(esa)],[axiom3]) ).

thf(zip_derived_cl17,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ITP399_1 : TPTP v8.1.2. Released v8.0.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fnUuASMp2l true
% 0.13/0.32  % Computer : n009.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Sun Aug 27 11:54:50 EDT 2023
% 0.13/0.32  % CPUTime  : 
% 0.13/0.32  % Running portfolio for 300 s
% 0.13/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33  % Number of cores: 8
% 0.13/0.33  % Python version: Python 3.6.8
% 0.13/0.33  % Running in FO mode
% 0.48/0.59  % Total configuration time : 435
% 0.48/0.59  % Estimated wc time : 1092
% 0.48/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.71  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.71  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.84  % Solved by fo/fo4.sh.
% 0.50/0.84  % done 11 iterations in 0.102s
% 0.50/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.84  % SZS output start Refutation
% See solution above
% 0.50/0.84  
% 0.50/0.84  
% 0.50/0.84  % Terminating...
% 1.46/0.94  % Runner terminated.
% 1.46/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------