TSTP Solution File: ITP023_4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP023_4 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vXKhea4MU8 true

% Computer : n021.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 05:21:37 EDT 2023

% Result   : Theorem 50.57s 7.87s
% Output   : Refutation 50.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   24 (   9 unt;  12 typ;   0 def)
%            Number of atoms       :   15 (   2 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   71 (   4   ~;   2   |;   0   &;  64   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mono_2Etyop_2Emin_2Ebool_type,type,
    mono_2Etyop_2Emin_2Ebool: $tType ).

thf(mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_type,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: $tType ).

thf(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_type,type,
    mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType ).

thf(mono_2Etyop_2Erealax_2Ereal_type,type,
    mono_2Etyop_2Erealax_2Ereal: $tType ).

thf(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal_type,type,
    mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

thf(sk__14_type,type,
    sk__14: mono_2Etyop_2Erealax_2Ereal ).

thf(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1_type,type,
    mono_2Ec_2Ereal__topology_2Ebounded__def_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Emin_2Ebool ).

thf(mono_2Ec_2Ereal__topology_2Ecball_2E1_type,type,
    mono_2Ec_2Ereal__topology_2Ecball_2E1: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).

thf(mono_2Ec_2Ereal__topology_2Einterior_2E1_type,type,
    mono_2Ec_2Ereal__topology_2Einterior_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).

thf(mono_2Ec_2Ereal__topology_2Eball_2E1_type,type,
    mono_2Ec_2Ereal__topology_2Eball_2E1: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).

thf(sk__15_type,type,
    sk__15: mono_2Etyop_2Erealax_2Ereal ).

thf(p_type,type,
    p: mono_2Etyop_2Emin_2Ebool > $o ).

thf(thm_2Ereal__topology_2EBOUNDED__BALL,conjecture,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1e_2E0: mono_2Etyop_2Erealax_2Ereal] : ( p @ ( mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @ ( mono_2Ec_2Ereal__topology_2Eball_2E1 @ ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ V0x_2E0 @ V1e_2E0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1e_2E0: mono_2Etyop_2Erealax_2Ereal] : ( p @ ( mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @ ( mono_2Ec_2Ereal__topology_2Eball_2E1 @ ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ V0x_2E0 @ V1e_2E0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2Ereal__topology_2EBOUNDED__BALL]) ).

thf(zip_derived_cl45,plain,
    ~ ( p @ ( mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @ ( mono_2Ec_2Ereal__topology_2Eball_2E1 @ ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sk__14 @ sk__15 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2Ereal__topology_2EINTERIOR__CBALL,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1e_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( mono_2Ec_2Ereal__topology_2Einterior_2E1 @ ( mono_2Ec_2Ereal__topology_2Ecball_2E1 @ ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ V0x_2E0 @ V1e_2E0 ) ) )
      = ( mono_2Ec_2Ereal__topology_2Eball_2E1 @ ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ V0x_2E0 @ V1e_2E0 ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: mono_2Etyop_2Erealax_2Ereal,X1: mono_2Etyop_2Erealax_2Ereal] :
      ( ( mono_2Ec_2Ereal__topology_2Einterior_2E1 @ ( mono_2Ec_2Ereal__topology_2Ecball_2E1 @ ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1 ) ) )
      = ( mono_2Ec_2Ereal__topology_2Eball_2E1 @ ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[thm_2Ereal__topology_2EINTERIOR__CBALL]) ).

thf(thm_2Ereal__topology_2EBOUNDED__INTERIOR,axiom,
    ! [V0s_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
      ( ( p @ ( mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @ V0s_2E0 ) )
     => ( p @ ( mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @ ( mono_2Ec_2Ereal__topology_2Einterior_2E1 @ V0s_2E0 ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
      ( ( p @ ( mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @ ( mono_2Ec_2Ereal__topology_2Einterior_2E1 @ X0 ) ) )
      | ~ ( p @ ( mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[thm_2Ereal__topology_2EBOUNDED__INTERIOR]) ).

thf(zip_derived_cl334,plain,
    ! [X0: mono_2Etyop_2Erealax_2Ereal,X1: mono_2Etyop_2Erealax_2Ereal] :
      ( ( p @ ( mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @ ( mono_2Ec_2Ereal__topology_2Eball_2E1 @ ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X1 @ X0 ) ) ) )
      | ~ ( p @ ( mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @ ( mono_2Ec_2Ereal__topology_2Ecball_2E1 @ ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X1 @ X0 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl13]) ).

thf(thm_2Ereal__topology_2EBOUNDED__CBALL,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1e_2E0: mono_2Etyop_2Erealax_2Ereal] : ( p @ ( mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @ ( mono_2Ec_2Ereal__topology_2Ecball_2E1 @ ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ V0x_2E0 @ V1e_2E0 ) ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: mono_2Etyop_2Erealax_2Ereal,X1: mono_2Etyop_2Erealax_2Ereal] : ( p @ ( mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @ ( mono_2Ec_2Ereal__topology_2Ecball_2E1 @ ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Ereal__topology_2EBOUNDED__CBALL]) ).

thf(zip_derived_cl335,plain,
    ! [X0: mono_2Etyop_2Erealax_2Ereal,X1: mono_2Etyop_2Erealax_2Ereal] : ( p @ ( mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 @ ( mono_2Ec_2Ereal__topology_2Eball_2E1 @ ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl16]) ).

thf(zip_derived_cl403,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl335]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP023_4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vXKhea4MU8 true
% 0.13/0.35  % Computer : n021.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 10:17:44 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 50.57/7.87  % Solved by fo/fo4.sh.
% 50.57/7.87  % done 62 iterations in 7.045s
% 50.57/7.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 50.57/7.87  % SZS output start Refutation
% See solution above
% 50.57/7.87  
% 50.57/7.87  
% 50.57/7.87  % Terminating...
% 51.07/7.97  % Runner terminated.
% 51.07/7.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------