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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP023^4 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.niDw86Kbwt true

% Computer : n018.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 04:38:33 PM UTC 2025

% Result   : Theorem 70.14s 10.64s
% Output   : Refutation 70.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   25 (   2 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   45 (   3   ~;   1   |;   0   &;  40   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
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(sk__7_type,type,
    sk__7: mono_2Etyop_2Erealax_2Ereal ).

thf(mono_2Ec_2Ereal__topology_2Eball_type,type,
    mono_2Ec_2Ereal__topology_2Eball: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o ).

thf(mono_2Ec_2Ereal__topology_2Einterior_type,type,
    mono_2Ec_2Ereal__topology_2Einterior: ( mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Erealax_2Ereal > $o ).

thf(mono_2Ec_2Ereal__topology_2Ebounded__def_type,type,
    mono_2Ec_2Ereal__topology_2Ebounded__def: ( mono_2Etyop_2Erealax_2Ereal > $o ) > $o ).

thf(mono_2Ec_2Ereal__topology_2Ecball_type,type,
    mono_2Ec_2Ereal__topology_2Ecball: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o ).

thf(sk__6_type,type,
    sk__6: mono_2Etyop_2Erealax_2Ereal ).

thf(mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal_type,type,
    mono_2Ec_2Epair_2E_2C_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(thm_2Ereal__topology_2EBOUNDED__BALL,conjecture,
    ! [V0x: mono_2Etyop_2Erealax_2Ereal,V1e: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ V0x @ V1e ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [V0x: mono_2Etyop_2Erealax_2Ereal,V1e: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ V0x @ V1e ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2Ereal__topology_2EBOUNDED__BALL]) ).

thf(zip_derived_cl79,plain,
    ~ ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ sk__6 @ sk__7 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2Ereal__topology_2EBOUNDED__CBALL,axiom,
    ! [V0x: mono_2Etyop_2Erealax_2Ereal,V1e: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Ecball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ V0x @ V1e ) ) ) ).

thf(zip_derived_cl55,plain,
    ! [X0: mono_2Etyop_2Erealax_2Ereal,X1: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Ecball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[thm_2Ereal__topology_2EBOUNDED__CBALL]) ).

thf(thm_2Ereal__topology_2EINTERIOR__CBALL,axiom,
    ! [V0x: mono_2Etyop_2Erealax_2Ereal,V1e: mono_2Etyop_2Erealax_2Ereal] :
      ( ( mono_2Ec_2Ereal__topology_2Einterior @ ( mono_2Ec_2Ereal__topology_2Ecball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ V0x @ V1e ) ) )
      = ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ V0x @ V1e ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: mono_2Etyop_2Erealax_2Ereal,X1: mono_2Etyop_2Erealax_2Ereal] :
      ( ( mono_2Ec_2Ereal__topology_2Einterior @ ( mono_2Ec_2Ereal__topology_2Ecball @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ X0 @ X1 ) ) )
      = ( mono_2Ec_2Ereal__topology_2Eball @ ( mono_2Ec_2Epair_2E_2C_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: mono_2Etyop_2Erealax_2Ereal > $o] :
      ( ( mono_2Ec_2Ereal__topology_2Ebounded__def @ V0s )
     => ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Einterior @ V0s ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: mono_2Etyop_2Erealax_2Ereal > $o] :
      ( ( mono_2Ec_2Ereal__topology_2Ebounded__def @ ( mono_2Ec_2Ereal__topology_2Einterior @ X0 ) )
      | ~ ( mono_2Ec_2Ereal__topology_2Ebounded__def @ X0 ) ),
    inference(cnf,[status(esa)],[thm_2Ereal__topology_2EBOUNDED__INTERIOR]) ).

thf(zip_derived_cl80,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl79,zip_derived_cl55,zip_derived_cl48,zip_derived_cl51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP023^4 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.niDw86Kbwt true
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 15:30:41 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in HO mode
% 0.54/0.65  % Total configuration time : 828
% 0.54/0.65  % Estimated wc time : 1656
% 0.54/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 70.14/10.64  % Solved by lams/40_c_ic.sh.
% 70.14/10.64  % done 0 iterations in 9.855s
% 70.14/10.64  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 70.14/10.64  % SZS output start Refutation
% See solution above
% 70.14/10.64  
% 70.14/10.64  
% 70.14/10.64  % Terminating...
% 70.55/10.83  % Runner terminated.
% 70.57/10.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------