%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP023^5 : 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.TINgLmbp4O true
% Computer : n022.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 242.45s 31.43s
% Output : Refutation 242.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 209 ( 6 ~; 4 |; 0 &; 195 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp__ty_2Erealax_2Ereal_type,type,
tp__ty_2Erealax_2Ereal: $tType ).
thf(del_type,type,
del: $tType ).
thf(c_2Ereal__topology_2Ebounded__def_type,type,
c_2Ereal__topology_2Ebounded__def: $i ).
thf(mem_type,type,
mem: $i > del > $o ).
thf(ty_2Erealax_2Ereal_type,type,
ty_2Erealax_2Ereal: del ).
thf(c_2Ereal__topology_2Einterior_type,type,
c_2Ereal__topology_2Einterior: $i ).
thf(c_2Ereal__topology_2Ecball_type,type,
c_2Ereal__topology_2Ecball: $i ).
thf(c_2Ereal__topology_2Eball_type,type,
c_2Ereal__topology_2Eball: $i ).
thf(p_type,type,
p: $i > $o ).
thf(sk__1564_type,type,
sk__1564: tp__ty_2Erealax_2Ereal ).
thf(inj__ty_2Erealax_2Ereal_type,type,
inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal > $i ).
thf(c_2Epair_2E_2C_type,type,
c_2Epair_2E_2C: del > del > $i ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(arr_type,type,
arr: del > del > del ).
thf(ty_2Epair_2Eprod_type,type,
ty_2Epair_2Eprod: del > del > del ).
thf(bool_type,type,
bool: del ).
thf(sk__1563_type,type,
sk__1563: tp__ty_2Erealax_2Ereal ).
thf(stp_inj_mem_ty_2Erealax_2Ereal,axiom,
! [X: tp__ty_2Erealax_2Ereal] : ( mem @ ( inj__ty_2Erealax_2Ereal @ X ) @ ty_2Erealax_2Ereal ) ).
thf(zip_derived_cl4576,plain,
! [X0: tp__ty_2Erealax_2Ereal] : ( mem @ ( inj__ty_2Erealax_2Ereal @ X0 ) @ ty_2Erealax_2Ereal ),
inference(cnf,[status(esa)],[stp_inj_mem_ty_2Erealax_2Ereal]) ).
thf(conj_thm_2Ereal__topology_2EBOUNDED__BALL,conjecture,
! [V0x: tp__ty_2Erealax_2Ereal,V1e: tp__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 ) @ ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [V0x: tp__ty_2Erealax_2Ereal,V1e: tp__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 ) @ ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_thm_2Ereal__topology_2EBOUNDED__BALL]) ).
thf(zip_derived_cl8015,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 ) @ ( inj__ty_2Erealax_2Ereal @ sk__1563 ) ) @ ( inj__ty_2Erealax_2Ereal @ sk__1564 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mem_c_2Epair_2E_2C,axiom,
! [A_27a: del,A_27b: del] : ( 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_cl993,plain,
! [X0: del,X1: del] : ( mem @ ( c_2Epair_2E_2C @ X0 @ X1 ) @ ( arr @ X0 @ ( arr @ X1 @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mem_c_2Epair_2E_2C]) ).
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_cl6585,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(conj_thm_2Ereal__topology_2EBOUNDED__CBALL,axiom,
! [V0x: tp__ty_2Erealax_2Ereal,V1e: tp__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 ) @ ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) ) ).
thf(zip_derived_cl8014,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__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 ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Ereal__topology_2EBOUNDED__CBALL]) ).
thf(conj_thm_2Ereal__topology_2EINTERIOR__CBALL,axiom,
! [V0x: tp__ty_2Erealax_2Ereal,V1e: tp__ty_2Erealax_2Ereal] :
( ( ap @ c_2Ereal__topology_2Einterior @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) )
= ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) ).
thf(zip_derived_cl7985,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( ( ap @ c_2Ereal__topology_2Einterior @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) )
= ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Ereal__topology_2EINTERIOR__CBALL]) ).
thf(ap_tp,axiom,
! [A: del,B: del,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ( mem @ ( ap @ F @ X ) @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: del,X2: $i,X3: del] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(conj_thm_2Ereal__topology_2EBOUNDED__INTERIOR,axiom,
! [V0s: $i] :
( ( mem @ V0s @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
=> ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ V0s ) )
=> ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Einterior @ V0s ) ) ) ) ) ).
thf(zip_derived_cl8010,plain,
! [X0: $i] :
( ~ ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X0 ) )
| ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Einterior @ X0 ) ) )
| ~ ( mem @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Ereal__topology_2EBOUNDED__INTERIOR]) ).
thf(zip_derived_cl34600,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl4576,zip_derived_cl8015,zip_derived_cl993,zip_derived_cl6585,zip_derived_cl8014,zip_derived_cl7985,zip_derived_cl0,zip_derived_cl8010]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP023^5 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TINgLmbp4O true
% 0.14/0.35 % Computer : n022.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
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 15:28:25 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.57/0.67 % Total configuration time : 828
% 0.57/0.67 % Estimated wc time : 1656
% 0.57/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 21.51/3.31 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 242.45/31.43 % Solved by lams/40_c.s.sh.
% 242.45/31.43 % done 3389 iterations in 30.646s
% 242.45/31.43 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 242.45/31.43 % SZS output start Refutation
% See solution above
% 242.45/31.43
% 242.45/31.43
% 242.45/31.43 % Terminating...
% 243.18/31.56 % Runner terminated.
% 243.18/31.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------