%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP023+2 : 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.lTAnDVs8Mi true
% Computer : n017.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 126.39s 18.67s
% Output : Refutation 126.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 78 ( 39 unt; 0 typ; 0 def)
% Number of atoms : 161 ( 11 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 914 ( 67 ~; 63 |; 1 &; 764 @)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 68 ( 0 ^; 68 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_2Epair_2E_2C_type,type,
c_2Epair_2E_2C: $i > $i > $i ).
thf(bool_type,type,
bool: $i ).
thf(mem_type,type,
mem: $i > $i > $o ).
thf(ty_2Erealax_2Ereal_type,type,
ty_2Erealax_2Ereal: $i ).
thf(ne_type,type,
ne: $i > $o ).
thf(c_2Ereal__topology_2Ebounded__def_type,type,
c_2Ereal__topology_2Ebounded__def: $i ).
thf(c_2Ebool_2EF_type,type,
c_2Ebool_2EF: $i ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(c_2Ebool_2ET_type,type,
c_2Ebool_2ET: $i ).
thf(c_2Ereal__topology_2Eball_type,type,
c_2Ereal__topology_2Eball: $i ).
thf(c_2Epred__set_2ESUBSET_type,type,
c_2Epred__set_2ESUBSET: $i > $i ).
thf(ty_2Epair_2Eprod_type,type,
ty_2Epair_2Eprod: $i > $i > $i ).
thf(p_type,type,
p: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(arr_type,type,
arr: $i > $i > $i ).
thf(c_2Ereal__topology_2Ecball_type,type,
c_2Ereal__topology_2Ecball: $i ).
thf(conj_thm_2Ereal__topology_2EBOUNDED__BALL,conjecture,
! [V0x: $i] :
( ( mem @ V0x @ ty_2Erealax_2Ereal )
=> ! [V1e: $i] :
( ( mem @ V1e @ ty_2Erealax_2Ereal )
=> ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ V0x ) @ V1e ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [V0x: $i] :
( ( mem @ V0x @ ty_2Erealax_2Ereal )
=> ! [V1e: $i] :
( ( mem @ V1e @ ty_2Erealax_2Ereal )
=> ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ V0x ) @ V1e ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_thm_2Ereal__topology_2EBOUNDED__BALL]) ).
thf(zip_derived_cl208,plain,
mem @ sk__6 @ ty_2Erealax_2Ereal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl206,plain,
mem @ sk__5 @ ty_2Erealax_2Ereal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mem_c_2Epair_2E_2C,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( ne @ X0 )
| ( mem @ ( c_2Epair_2E_2C @ X1 @ X0 ) @ ( arr @ X1 @ ( arr @ X0 @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) )
| ~ ( ne @ X1 ) ),
inference(cnf,[status(esa)],[mem_c_2Epair_2E_2C]) ).
thf(ap_tp,axiom,
! [A: $i,B: $i,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ( mem @ ( ap @ F @ X ) @ B ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ne @ X1 )
| ~ ( ne @ X0 )
| ~ ( mem @ X2 @ X1 )
| ( mem @ ( ap @ ( c_2Epair_2E_2C @ X1 @ X0 ) @ X2 ) @ ( arr @ X0 @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl3]) ).
thf(zip_derived_cl3744,plain,
! [X0: $i] :
( ~ ( ne @ ty_2Erealax_2Ereal )
| ~ ( ne @ X0 )
| ( mem @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ X0 ) @ sk__5 ) @ ( arr @ X0 @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl509]) ).
thf(ne_ty_2Erealax_2Ereal,axiom,
ne @ ty_2Erealax_2Ereal ).
thf(zip_derived_cl16,plain,
ne @ ty_2Erealax_2Ereal,
inference(cnf,[status(esa)],[ne_ty_2Erealax_2Ereal]) ).
thf(zip_derived_cl3759,plain,
! [X0: $i] :
( ~ ( ne @ X0 )
| ( mem @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ X0 ) @ sk__5 ) @ ( arr @ X0 @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3744,zip_derived_cl16]) ).
thf(zip_derived_cl3_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl3765,plain,
! [X0: $i,X1: $i] :
( ~ ( ne @ X0 )
| ~ ( mem @ X1 @ X0 )
| ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ X0 ) @ sk__5 ) @ X1 ) @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3759,zip_derived_cl3]) ).
thf(zip_derived_cl3978,plain,
( ~ ( ne @ ty_2Erealax_2Ereal )
| ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl3765]) ).
thf(zip_derived_cl16_002,plain,
ne @ ty_2Erealax_2Ereal,
inference(cnf,[status(esa)],[ne_ty_2Erealax_2Ereal]) ).
thf(zip_derived_cl3993,plain,
mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ),
inference(demod,[status(thm)],[zip_derived_cl3978,zip_derived_cl16]) ).
thf(mem_c_2Ereal__topology_2Ecball,axiom,
mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ).
thf(zip_derived_cl21,plain,
mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ),
inference(cnf,[status(esa)],[mem_c_2Ereal__topology_2Ecball]) ).
thf(zip_derived_cl3_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl553,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) )
| ( mem @ ( ap @ c_2Ereal__topology_2Ecball @ X0 ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl3]) ).
thf(zip_derived_cl4525,plain,
mem @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ),
inference('s_sup-',[status(thm)],[zip_derived_cl3993,zip_derived_cl553]) ).
thf(mem_c_2Ereal__topology_2Ebounded__def,axiom,
mem @ c_2Ereal__topology_2Ebounded__def @ ( arr @ ( arr @ ty_2Erealax_2Ereal @ bool ) @ bool ) ).
thf(zip_derived_cl22,plain,
mem @ c_2Ereal__topology_2Ebounded__def @ ( arr @ ( arr @ ty_2Erealax_2Ereal @ bool ) @ bool ),
inference(cnf,[status(esa)],[mem_c_2Ereal__topology_2Ebounded__def]) ).
thf(zip_derived_cl3_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl330,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
| ( mem @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X0 ) @ bool ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl3]) ).
thf(zip_derived_cl7091,plain,
mem @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) ) @ bool,
inference('s_sup-',[status(thm)],[zip_derived_cl4525,zip_derived_cl330]) ).
thf(mem_c_2Ebool_2ET,axiom,
mem @ c_2Ebool_2ET @ bool ).
thf(zip_derived_cl10,plain,
mem @ c_2Ebool_2ET @ bool,
inference(cnf,[status(esa)],[mem_c_2Ebool_2ET]) ).
thf(boolext,axiom,
! [Q: $i] :
( ( mem @ Q @ bool )
=> ! [R: $i] :
( ( mem @ R @ bool )
=> ( ( ( p @ Q )
<=> ( p @ R ) )
=> ( Q = R ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ bool )
| ( X1 = X0 )
| ~ ( p @ X1 )
| ~ ( p @ X0 )
| ~ ( mem @ X1 @ bool ) ),
inference(cnf,[status(esa)],[boolext]) ).
thf(zip_derived_cl217,plain,
! [X0: $i] :
( ( X0 = c_2Ebool_2ET )
| ~ ( p @ X0 )
| ~ ( p @ c_2Ebool_2ET )
| ~ ( mem @ X0 @ bool ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl4]) ).
thf(ax_true_p,axiom,
p @ c_2Ebool_2ET ).
thf(zip_derived_cl11,plain,
p @ c_2Ebool_2ET,
inference(cnf,[status(esa)],[ax_true_p]) ).
thf(zip_derived_cl219,plain,
! [X0: $i] :
( ( X0 = c_2Ebool_2ET )
| ~ ( p @ X0 )
| ~ ( mem @ X0 @ bool ) ),
inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl11]) ).
thf(zip_derived_cl7161,plain,
( ( ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) )
= c_2Ebool_2ET )
| ~ ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7091,zip_derived_cl219]) ).
thf(zip_derived_cl206_005,plain,
mem @ sk__5 @ ty_2Erealax_2Ereal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl208_006,plain,
mem @ sk__6 @ ty_2Erealax_2Ereal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(conj_thm_2Ereal__topology_2EBOUNDED__CBALL,axiom,
! [V0x: $i] :
( ( mem @ V0x @ ty_2Erealax_2Ereal )
=> ! [V1e: $i] :
( ( mem @ V1e @ ty_2Erealax_2Ereal )
=> ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ V0x ) @ V1e ) ) ) ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Erealax_2Ereal )
| ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ X1 ) @ X0 ) ) ) )
| ~ ( mem @ X1 @ ty_2Erealax_2Ereal ) ),
inference(cnf,[status(esa)],[conj_thm_2Ereal__topology_2EBOUNDED__CBALL]) ).
thf(zip_derived_cl1288,plain,
! [X0: $i] :
( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ X0 ) @ sk__6 ) ) ) )
| ~ ( mem @ X0 @ ty_2Erealax_2Ereal ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl81]) ).
thf(zip_derived_cl1323,plain,
p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl1288]) ).
thf(zip_derived_cl7189,plain,
( ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) )
= c_2Ebool_2ET ),
inference(demod,[status(thm)],[zip_derived_cl7161,zip_derived_cl1323]) ).
thf(mem_c_2Ebool_2EF,axiom,
mem @ c_2Ebool_2EF @ bool ).
thf(zip_derived_cl23,plain,
mem @ c_2Ebool_2EF @ bool,
inference(cnf,[status(esa)],[mem_c_2Ebool_2EF]) ).
thf(zip_derived_cl207,plain,
~ ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ bool )
| ( X1 = X0 )
| ( p @ X1 )
| ( p @ X0 )
| ~ ( mem @ X1 @ bool ) ),
inference(cnf,[status(esa)],[boolext]) ).
thf(zip_derived_cl231,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ bool )
| ( ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) )
= X0 )
| ( p @ X0 )
| ~ ( mem @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) ) @ bool ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl207,zip_derived_cl5]) ).
thf(zip_derived_cl3993_007,plain,
mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ),
inference(demod,[status(thm)],[zip_derived_cl3978,zip_derived_cl16]) ).
thf(mem_c_2Ereal__topology_2Eball,axiom,
mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ).
thf(zip_derived_cl18,plain,
mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ),
inference(cnf,[status(esa)],[mem_c_2Ereal__topology_2Eball]) ).
thf(zip_derived_cl3_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl336,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) )
| ( mem @ ( ap @ c_2Ereal__topology_2Eball @ X0 ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl3]) ).
thf(zip_derived_cl4045,plain,
mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ),
inference('s_sup-',[status(thm)],[zip_derived_cl3993,zip_derived_cl336]) ).
thf(zip_derived_cl330_009,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
| ( mem @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X0 ) @ bool ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl3]) ).
thf(zip_derived_cl5879,plain,
mem @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) ) @ bool,
inference('s_sup-',[status(thm)],[zip_derived_cl4045,zip_derived_cl330]) ).
thf(zip_derived_cl5957,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ bool )
| ( ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) )
= X0 )
| ( p @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl5879]) ).
thf(zip_derived_cl15800,plain,
( ( ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) )
= c_2Ebool_2EF )
| ( p @ c_2Ebool_2EF ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl5957]) ).
thf(ax_false_p,axiom,
~ ( p @ c_2Ebool_2EF ) ).
thf(zip_derived_cl24,plain,
~ ( p @ c_2Ebool_2EF ),
inference(cnf,[status(esa)],[ax_false_p]) ).
thf(zip_derived_cl15846,plain,
( ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) )
= c_2Ebool_2EF ),
inference(demod,[status(thm)],[zip_derived_cl15800,zip_derived_cl24]) ).
thf(conj_thm_2Ereal__topology_2EBOUNDED__SUBSET,axiom,
! [V0s: $i] :
( ( mem @ V0s @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
=> ! [V1t: $i] :
( ( mem @ V1t @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
=> ( ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ V1t ) )
& ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ V0s ) @ V1t ) ) )
=> ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ V0s ) ) ) ) ) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ X1 ) @ X0 ) )
| ~ ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X0 ) )
| ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X1 ) )
| ~ ( mem @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Ereal__topology_2EBOUNDED__SUBSET]) ).
thf(zip_derived_cl15968,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) ) @ X0 ) )
| ~ ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X0 ) )
| ( p @ c_2Ebool_2EF )
| ~ ( mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15846,zip_derived_cl80]) ).
thf(zip_derived_cl24_010,plain,
~ ( p @ c_2Ebool_2EF ),
inference(cnf,[status(esa)],[ax_false_p]) ).
thf(zip_derived_cl4045_011,plain,
mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ),
inference('s_sup-',[status(thm)],[zip_derived_cl3993,zip_derived_cl336]) ).
thf(zip_derived_cl15978,plain,
! [X0: $i] :
( ~ ( mem @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) ) @ X0 ) )
| ~ ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15968,zip_derived_cl24,zip_derived_cl4045]) ).
thf(zip_derived_cl63855,plain,
( ~ ( mem @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
| ~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) ) @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) ) )
| ~ ( p @ c_2Ebool_2ET ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7189,zip_derived_cl15978]) ).
thf(zip_derived_cl4525_012,plain,
mem @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ),
inference('s_sup-',[status(thm)],[zip_derived_cl3993,zip_derived_cl553]) ).
thf(zip_derived_cl11_013,plain,
p @ c_2Ebool_2ET,
inference(cnf,[status(esa)],[ax_true_p]) ).
thf(zip_derived_cl63866,plain,
~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) ) @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ sk__5 ) @ sk__6 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl63855,zip_derived_cl4525,zip_derived_cl11]) ).
thf(conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL,axiom,
! [V0x: $i] :
( ( mem @ V0x @ ty_2Erealax_2Ereal )
=> ! [V1e: $i] :
( ( mem @ V1e @ ty_2Erealax_2Ereal )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ V0x ) @ V1e ) ) ) @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ V0x ) @ V1e ) ) ) ) ) ) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ ty_2Erealax_2Ereal )
| ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ X1 ) @ X0 ) ) ) @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ X1 ) @ X0 ) ) ) )
| ~ ( mem @ X1 @ ty_2Erealax_2Ereal ) ),
inference(cnf,[status(esa)],[conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL]) ).
thf(zip_derived_cl64238,plain,
( ~ ( mem @ sk__6 @ ty_2Erealax_2Ereal )
| ~ ( mem @ sk__5 @ ty_2Erealax_2Ereal ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl63866,zip_derived_cl79]) ).
thf(zip_derived_cl208_014,plain,
mem @ sk__6 @ ty_2Erealax_2Ereal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl206_015,plain,
mem @ sk__5 @ ty_2Erealax_2Ereal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64243,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl64238,zip_derived_cl208,zip_derived_cl206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : ITP023+2 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.09/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lTAnDVs8Mi true
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 15:32:53 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.53/0.62 % Total configuration time : 435
% 0.53/0.62 % Estimated wc time : 1092
% 0.53/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.78/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.78/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.78/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.78/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.78/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.26/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 126.39/18.67 % Solved by fo/fo13.sh.
% 126.39/18.67 % done 6348 iterations in 17.917s
% 126.39/18.67 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 126.39/18.67 % SZS output start Refutation
% See solution above
% 126.39/18.67
% 126.39/18.67
% 126.39/18.67 % Terminating...
% 126.39/18.76 % Runner terminated.
% 126.39/18.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------