%------------------------------------------------------------------------------
% 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/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hHsp2YpOZS 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 50.59s 7.67s
% Output : Refutation 50.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 9 unt; 0 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 : 0 ( 0 >; 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
% 0.03/0.12 % Problem : ITP023_4 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.14/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hHsp2YpOZS true
% 0.14/0.35 % Computer : n018.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
% 0.21/0.35 % WCLimit : 300
% 0.21/0.35 % DateTime : Wed Oct 1 15:32:27 EDT 2025
% 0.21/0.35 % CPUTime :
% 0.21/0.35 % Running portfolio for 300 s
% 0.21/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 50.59/7.67 % Solved by fo/fo4.sh.
% 50.59/7.67 % done 62 iterations in 6.862s
% 50.59/7.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 50.59/7.67 % SZS output start Refutation
% See solution above
% 50.59/7.67
% 50.59/7.67
% 50.59/7.67 % Terminating...
% 51.12/7.78 % Runner terminated.
% 51.12/7.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------