TSTP Solution File: ITP111^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP111^1 : TPTP v8.1.2. Released 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.YTmm9WSTyg true
% Computer : n016.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 05:22:15 EDT 2023
% Result : Theorem 1.48s 0.92s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 26
% Syntax : Number of formulae : 198 ( 17 unt; 21 typ; 0 def)
% Number of atoms : 596 ( 157 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1992 ( 244 ~; 389 |; 10 &;1329 @)
% ( 5 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 6 con; 0-2 aty)
% Number of variables : 111 ( 0 ^; 106 !; 5 ?; 111 :)
% Comments :
%------------------------------------------------------------------------------
thf(extended_ereal_type,type,
extended_ereal: $tType ).
thf(a_type,type,
a: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(topolo1276428101open_a_type,type,
topolo1276428101open_a: set_a > $o ).
thf(sk__8_type,type,
sk__8: extended_ereal > set_a ).
thf(sk__14_type,type,
sk__14: extended_ereal ).
thf(x0_type,type,
x0: a ).
thf(sk__6_type,type,
sk__6: extended_ereal ).
thf(f_type,type,
f: a > extended_ereal ).
thf(lower_191460856_ereal_type,type,
lower_191460856_ereal: a > ( a > extended_ereal ) > $o ).
thf(sk__5_type,type,
sk__5: extended_ereal > set_a ).
thf(uminus1208298309_ereal_type,type,
uminus1208298309_ereal: extended_ereal > extended_ereal ).
thf(sk__15_type,type,
sk__15: set_a > a ).
thf(sk__1_type,type,
sk__1: set_a > a ).
thf(sk__7_type,type,
sk__7: set_a > a ).
thf(sk__2_type,type,
sk__2: extended_ereal > set_a ).
thf(extend1289208545_ereal_type,type,
extend1289208545_ereal: extended_ereal ).
thf(ord_le2001149050_ereal_type,type,
ord_le2001149050_ereal: extended_ereal > extended_ereal > $o ).
thf(sk__13_type,type,
sk__13: extended_ereal > set_a ).
thf(sk__type,type,
sk_: extended_ereal ).
thf(member_a_type,type,
member_a: a > set_a > $o ).
thf(fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,axiom,
( ( ( f @ x0 )
= extend1289208545_ereal )
=> ( ( lower_191460856_ereal @ x0 @ f )
<=> ! [C: extended_ereal] :
( ( ord_le2001149050_ereal @ C @ ( f @ x0 ) )
=> ? [T: set_a] :
( ! [X: a] :
( ( member_a @ X @ T )
=> ( ord_le2001149050_ereal @ C @ ( f @ X ) ) )
& ( member_a @ x0 @ T )
& ( topolo1276428101open_a @ T ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: extended_ereal] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ( member_a @ x0 @ ( sk__2 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= extend1289208545_ereal ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,axiom,
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
=> ( ( lower_191460856_ereal @ x0 @ f )
<=> ! [C: extended_ereal] :
( ( ord_le2001149050_ereal @ C @ ( f @ x0 ) )
=> ? [T: set_a] :
( ! [X: a] :
( ( member_a @ X @ T )
=> ( ord_le2001149050_ereal @ C @ ( f @ X ) ) )
& ( member_a @ x0 @ T )
& ( topolo1276428101open_a @ T ) ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: extended_ereal] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ( topolo1276428101open_a @ ( sk__5 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(fact_3_lsc__at__MInfty,axiom,
! [F: a > extended_ereal,X0: a] :
( ( ( F @ X0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
=> ( lower_191460856_ereal @ X0 @ F ) ) ).
thf(zip_derived_cl18,plain,
! [X0: a,X1: a > extended_ereal] :
( ( lower_191460856_ereal @ X0 @ X1 )
| ( ( X1 @ X0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_3_lsc__at__MInfty]) ).
thf(zip_derived_cl77,plain,
! [X0: extended_ereal] :
( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( topolo1276428101open_a @ ( sk__5 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11,zip_derived_cl18]) ).
thf(zip_derived_cl9,plain,
! [X0: extended_ereal,X1: a] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ( ord_le2001149050_ereal @ X0 @ ( f @ X1 ) )
| ~ ( member_a @ X1 @ ( sk__5 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl18_001,plain,
! [X0: a,X1: a > extended_ereal] :
( ( lower_191460856_ereal @ X0 @ X1 )
| ( ( X1 @ X0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_3_lsc__at__MInfty]) ).
thf(zip_derived_cl207,plain,
! [X0: extended_ereal,X1: a] :
( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ~ ( member_a @ X1 @ ( sk__5 @ X0 ) )
| ( ord_le2001149050_ereal @ X0 @ ( f @ X1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9,zip_derived_cl18]) ).
thf(conj_0,conjecture,
~ ( ( lower_191460856_ereal @ x0 @ f )
<=> ~ ! [C: extended_ereal] :
( ( ord_le2001149050_ereal @ C @ ( f @ x0 ) )
=> ? [T: set_a] :
( ! [X: a] :
( ( member_a @ X @ T )
=> ( ord_le2001149050_ereal @ C @ ( f @ X ) ) )
& ( member_a @ x0 @ T )
& ( topolo1276428101open_a @ T ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( lower_191460856_ereal @ x0 @ f )
<=> ~ ! [C: extended_ereal] :
( ( ord_le2001149050_ereal @ C @ ( f @ x0 ) )
=> ? [T: set_a] :
( ! [X: a] :
( ( member_a @ X @ T )
=> ( ord_le2001149050_ereal @ C @ ( f @ X ) ) )
& ( member_a @ x0 @ T )
& ( topolo1276428101open_a @ T ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl34,plain,
! [X0: set_a] :
( ~ ( topolo1276428101open_a @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ( member_a @ ( sk__15 @ X0 ) @ X0 )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl208,plain,
! [X0: extended_ereal] :
( ( ord_le2001149050_ereal @ X0 @ ( f @ ( sk__15 @ ( sk__5 @ X0 ) ) ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( lower_191460856_ereal @ x0 @ f )
| ~ ( member_a @ x0 @ ( sk__5 @ X0 ) )
| ~ ( topolo1276428101open_a @ ( sk__5 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl207,zip_derived_cl34]) ).
thf(zip_derived_cl18_002,plain,
! [X0: a,X1: a > extended_ereal] :
( ( lower_191460856_ereal @ X0 @ X1 )
| ( ( X1 @ X0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_3_lsc__at__MInfty]) ).
thf(zip_derived_cl348,plain,
! [X0: extended_ereal] :
( ~ ( topolo1276428101open_a @ ( sk__5 @ X0 ) )
| ~ ( member_a @ x0 @ ( sk__5 @ X0 ) )
| ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ord_le2001149050_ereal @ X0 @ ( f @ ( sk__15 @ ( sk__5 @ X0 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl208,zip_derived_cl18]) ).
thf(zip_derived_cl77_003,plain,
! [X0: extended_ereal] :
( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( topolo1276428101open_a @ ( sk__5 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11,zip_derived_cl18]) ).
thf(zip_derived_cl349,plain,
! [X0: extended_ereal] :
( ( ord_le2001149050_ereal @ X0 @ ( f @ ( sk__15 @ ( sk__5 @ X0 ) ) ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( member_a @ x0 @ ( sk__5 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl348,zip_derived_cl77]) ).
thf(zip_derived_cl10,plain,
! [X0: extended_ereal] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ( member_a @ x0 @ ( sk__5 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl18_004,plain,
! [X0: a,X1: a > extended_ereal] :
( ( lower_191460856_ereal @ X0 @ X1 )
| ( ( X1 @ X0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_3_lsc__at__MInfty]) ).
thf(zip_derived_cl78,plain,
! [X0: extended_ereal] :
( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( member_a @ x0 @ ( sk__5 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl10,zip_derived_cl18]) ).
thf(zip_derived_cl350,plain,
! [X0: extended_ereal] :
( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ord_le2001149050_ereal @ X0 @ ( f @ ( sk__15 @ ( sk__5 @ X0 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl349,zip_derived_cl78]) ).
thf(fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,axiom,
( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
=> ( ( ( f @ x0 )
!= extend1289208545_ereal )
=> ( ( lower_191460856_ereal @ x0 @ f )
<=> ! [C: extended_ereal] :
( ( ord_le2001149050_ereal @ C @ ( f @ x0 ) )
=> ? [T: set_a] :
( ! [X: a] :
( ( member_a @ X @ T )
=> ( ord_le2001149050_ereal @ C @ ( f @ X ) ) )
& ( member_a @ x0 @ T )
& ( topolo1276428101open_a @ T ) ) ) ) ) ) ).
thf(zip_derived_cl17,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( ord_le2001149050_ereal @ sk__6 @ ( f @ x0 ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl38,plain,
! [X1: extended_ereal] :
( ( lower_191460856_ereal @ x0 @ f )
| ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
| ( member_a @ x0 @ ( sk__13 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63,plain,
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( member_a @ x0 @ ( sk__13 @ sk__6 ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl38]) ).
thf(zip_derived_cl67,plain,
( ( member_a @ x0 @ ( sk__13 @ sk__6 ) )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl17_005,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( ord_le2001149050_ereal @ sk__6 @ ( f @ x0 ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl39,plain,
! [X1: extended_ereal,X2: a] :
( ( lower_191460856_ereal @ x0 @ f )
| ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
| ( ord_le2001149050_ereal @ X1 @ ( f @ X2 ) )
| ~ ( member_a @ X2 @ ( sk__13 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
! [X0: a] :
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( member_a @ X0 @ ( sk__13 @ sk__6 ) )
| ( ord_le2001149050_ereal @ sk__6 @ ( f @ X0 ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl39]) ).
thf(zip_derived_cl83,plain,
! [X0: a] :
( ( ord_le2001149050_ereal @ sk__6 @ ( f @ X0 ) )
| ~ ( member_a @ X0 @ ( sk__13 @ sk__6 ) )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl18_006,plain,
! [X0: a,X1: a > extended_ereal] :
( ( lower_191460856_ereal @ X0 @ X1 )
| ( ( X1 @ X0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_3_lsc__at__MInfty]) ).
thf(zip_derived_cl144,plain,
! [X0: a] :
( ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( member_a @ X0 @ ( sk__13 @ sk__6 ) )
| ( ord_le2001149050_ereal @ sk__6 @ ( f @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl18]) ).
thf(zip_derived_cl146,plain,
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( ord_le2001149050_ereal @ sk__6 @ ( f @ x0 ) )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl144]) ).
thf(zip_derived_cl149,plain,
( ( ord_le2001149050_ereal @ sk__6 @ ( f @ x0 ) )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl18_007,plain,
! [X0: a,X1: a > extended_ereal] :
( ( lower_191460856_ereal @ X0 @ X1 )
| ( ( X1 @ X0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_3_lsc__at__MInfty]) ).
thf(zip_derived_cl151,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( ord_le2001149050_ereal @ sk__6 @ ( f @ x0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl149,zip_derived_cl18]) ).
thf(zip_derived_cl38_008,plain,
! [X1: extended_ereal] :
( ( lower_191460856_ereal @ x0 @ f )
| ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
| ( member_a @ x0 @ ( sk__13 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl153,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f )
| ( member_a @ x0 @ ( sk__13 @ sk__6 ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl38]) ).
thf(zip_derived_cl159,plain,
( ( member_a @ x0 @ ( sk__13 @ sk__6 ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(simplify,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl15,plain,
! [X0: set_a] :
( ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( topolo1276428101open_a @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ( member_a @ ( sk__7 @ X0 ) @ X0 )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl18_009,plain,
! [X0: a,X1: a > extended_ereal] :
( ( lower_191460856_ereal @ X0 @ X1 )
| ( ( X1 @ X0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_3_lsc__at__MInfty]) ).
thf(zip_derived_cl223,plain,
! [X0: set_a] :
( ( lower_191460856_ereal @ x0 @ f )
| ( member_a @ ( sk__7 @ X0 ) @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ~ ( topolo1276428101open_a @ X0 )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl18]) ).
thf(zip_derived_cl224,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( topolo1276428101open_a @ ( sk__13 @ sk__6 ) )
| ( member_a @ ( sk__7 @ ( sk__13 @ sk__6 ) ) @ ( sk__13 @ sk__6 ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl223]) ).
thf(zip_derived_cl242,plain,
( ( member_a @ ( sk__7 @ ( sk__13 @ sk__6 ) ) @ ( sk__13 @ sk__6 ) )
| ~ ( topolo1276428101open_a @ ( sk__13 @ sk__6 ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(simplify,[status(thm)],[zip_derived_cl224]) ).
thf(zip_derived_cl151_010,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( ord_le2001149050_ereal @ sk__6 @ ( f @ x0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl149,zip_derived_cl18]) ).
thf(zip_derived_cl37,plain,
! [X1: extended_ereal] :
( ( lower_191460856_ereal @ x0 @ f )
| ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
| ( topolo1276428101open_a @ ( sk__13 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl154,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f )
| ( topolo1276428101open_a @ ( sk__13 @ sk__6 ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl37]) ).
thf(zip_derived_cl160,plain,
( ( topolo1276428101open_a @ ( sk__13 @ sk__6 ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(simplify,[status(thm)],[zip_derived_cl154]) ).
thf(zip_derived_cl246,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f )
| ( member_a @ ( sk__7 @ ( sk__13 @ sk__6 ) ) @ ( sk__13 @ sk__6 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl242,zip_derived_cl160]) ).
thf(zip_derived_cl144_011,plain,
! [X0: a] :
( ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( member_a @ X0 @ ( sk__13 @ sk__6 ) )
| ( ord_le2001149050_ereal @ sk__6 @ ( f @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl18]) ).
thf(zip_derived_cl247,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( ord_le2001149050_ereal @ sk__6 @ ( f @ ( sk__7 @ ( sk__13 @ sk__6 ) ) ) )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl144]) ).
thf(zip_derived_cl249,plain,
( ( ord_le2001149050_ereal @ sk__6 @ ( f @ ( sk__7 @ ( sk__13 @ sk__6 ) ) ) )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(simplify,[status(thm)],[zip_derived_cl247]) ).
thf(zip_derived_cl16,plain,
! [X0: set_a] :
( ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( topolo1276428101open_a @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ~ ( ord_le2001149050_ereal @ sk__6 @ ( f @ ( sk__7 @ X0 ) ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl18_012,plain,
! [X0: a,X1: a > extended_ereal] :
( ( lower_191460856_ereal @ X0 @ X1 )
| ( ( X1 @ X0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_3_lsc__at__MInfty]) ).
thf(zip_derived_cl221,plain,
! [X0: set_a] :
( ( lower_191460856_ereal @ x0 @ f )
| ~ ( ord_le2001149050_ereal @ sk__6 @ ( f @ ( sk__7 @ X0 ) ) )
| ~ ( member_a @ x0 @ X0 )
| ~ ( topolo1276428101open_a @ X0 )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(clc,[status(thm)],[zip_derived_cl16,zip_derived_cl18]) ).
thf(zip_derived_cl251,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( topolo1276428101open_a @ ( sk__13 @ sk__6 ) )
| ~ ( member_a @ x0 @ ( sk__13 @ sk__6 ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl221]) ).
thf(zip_derived_cl253,plain,
( ~ ( member_a @ x0 @ ( sk__13 @ sk__6 ) )
| ~ ( topolo1276428101open_a @ ( sk__13 @ sk__6 ) )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(simplify,[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl159_013,plain,
( ( member_a @ x0 @ ( sk__13 @ sk__6 ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(simplify,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl256,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( topolo1276428101open_a @ ( sk__13 @ sk__6 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl253,zip_derived_cl159]) ).
thf(zip_derived_cl160_014,plain,
( ( topolo1276428101open_a @ ( sk__13 @ sk__6 ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(simplify,[status(thm)],[zip_derived_cl154]) ).
thf(zip_derived_cl257,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(clc,[status(thm)],[zip_derived_cl256,zip_derived_cl160]) ).
thf(zip_derived_cl35,plain,
! [X0: set_a] :
( ~ ( topolo1276428101open_a @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ ( sk__15 @ X0 ) ) )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl258,plain,
! [X0: set_a] :
( ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ ( sk__15 @ X0 ) ) )
| ~ ( member_a @ x0 @ X0 )
| ~ ( topolo1276428101open_a @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl35]) ).
thf(zip_derived_cl351,plain,
( ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( topolo1276428101open_a @ ( sk__5 @ sk__14 ) )
| ~ ( member_a @ x0 @ ( sk__5 @ sk__14 ) )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference('sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl258]) ).
thf(zip_derived_cl34_015,plain,
! [X0: set_a] :
( ~ ( topolo1276428101open_a @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ( member_a @ ( sk__15 @ X0 ) @ X0 )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
( ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14,plain,
! [X0: extended_ereal,X1: a] :
( ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( lower_191460856_ereal @ x0 @ f )
| ( ord_le2001149050_ereal @ X0 @ ( f @ X1 ) )
| ~ ( member_a @ X1 @ ( sk__8 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl257_016,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(clc,[status(thm)],[zip_derived_cl256,zip_derived_cl160]) ).
thf(zip_derived_cl273,plain,
! [X0: extended_ereal,X1: a] :
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ~ ( member_a @ X1 @ ( sk__8 @ X0 ) )
| ( ord_le2001149050_ereal @ X0 @ ( f @ X1 ) )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(clc,[status(thm)],[zip_derived_cl14,zip_derived_cl257]) ).
thf(zip_derived_cl274,plain,
! [X0: a] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( ord_le2001149050_ereal @ sk__14 @ ( f @ X0 ) )
| ~ ( member_a @ X0 @ ( sk__8 @ sk__14 ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl273]) ).
thf(zip_derived_cl257_017,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(clc,[status(thm)],[zip_derived_cl256,zip_derived_cl160]) ).
thf(zip_derived_cl281,plain,
! [X0: a] :
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( member_a @ X0 @ ( sk__8 @ sk__14 ) )
| ( ord_le2001149050_ereal @ sk__14 @ ( f @ X0 ) )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(clc,[status(thm)],[zip_derived_cl274,zip_derived_cl257]) ).
thf(zip_derived_cl282,plain,
( ~ ( lower_191460856_ereal @ x0 @ f )
| ~ ( member_a @ x0 @ ( sk__8 @ sk__14 ) )
| ~ ( topolo1276428101open_a @ ( sk__8 @ sk__14 ) )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( ord_le2001149050_ereal @ sk__14 @ ( f @ ( sk__15 @ ( sk__8 @ sk__14 ) ) ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl281]) ).
thf(zip_derived_cl257_018,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(clc,[status(thm)],[zip_derived_cl256,zip_derived_cl160]) ).
thf(zip_derived_cl327,plain,
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ( ord_le2001149050_ereal @ sk__14 @ ( f @ ( sk__15 @ ( sk__8 @ sk__14 ) ) ) )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( topolo1276428101open_a @ ( sk__8 @ sk__14 ) )
| ~ ( member_a @ x0 @ ( sk__8 @ sk__14 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl282,zip_derived_cl257]) ).
thf(zip_derived_cl258_019,plain,
! [X0: set_a] :
( ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ ( sk__15 @ X0 ) ) )
| ~ ( member_a @ x0 @ X0 )
| ~ ( topolo1276428101open_a @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl35]) ).
thf(zip_derived_cl328,plain,
( ~ ( member_a @ x0 @ ( sk__8 @ sk__14 ) )
| ~ ( topolo1276428101open_a @ ( sk__8 @ sk__14 ) )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(clc,[status(thm)],[zip_derived_cl327,zip_derived_cl258]) ).
thf(zip_derived_cl36_020,plain,
( ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl257_021,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(clc,[status(thm)],[zip_derived_cl256,zip_derived_cl160]) ).
thf(zip_derived_cl13,plain,
! [X0: extended_ereal] :
( ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( lower_191460856_ereal @ x0 @ f )
| ( member_a @ x0 @ ( sk__8 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl259,plain,
! [X0: extended_ereal] :
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( member_a @ x0 @ ( sk__8 @ X0 ) )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference('sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl13]) ).
thf(zip_derived_cl264,plain,
! [X0: extended_ereal] :
( ( member_a @ x0 @ ( sk__8 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(simplify,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl277,plain,
( ~ ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ( member_a @ x0 @ ( sk__8 @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl264]) ).
thf(zip_derived_cl257_022,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(clc,[status(thm)],[zip_derived_cl256,zip_derived_cl160]) ).
thf(zip_derived_cl279,plain,
( ( member_a @ x0 @ ( sk__8 @ sk__14 ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(clc,[status(thm)],[zip_derived_cl277,zip_derived_cl257]) ).
thf(zip_derived_cl329,plain,
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( topolo1276428101open_a @ ( sk__8 @ sk__14 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl328,zip_derived_cl279]) ).
thf(zip_derived_cl36_023,plain,
( ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl257_024,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(clc,[status(thm)],[zip_derived_cl256,zip_derived_cl160]) ).
thf(zip_derived_cl12,plain,
! [X0: extended_ereal] :
( ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( lower_191460856_ereal @ x0 @ f )
| ( topolo1276428101open_a @ ( sk__8 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(cnf,[status(esa)],[fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl260,plain,
! [X0: extended_ereal] :
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( topolo1276428101open_a @ ( sk__8 @ X0 ) )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference('sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl12]) ).
thf(zip_derived_cl265,plain,
! [X0: extended_ereal] :
( ( topolo1276428101open_a @ ( sk__8 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(simplify,[status(thm)],[zip_derived_cl260]) ).
thf(zip_derived_cl270,plain,
( ~ ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
= extend1289208545_ereal )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ( topolo1276428101open_a @ ( sk__8 @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl265]) ).
thf(zip_derived_cl257_025,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(clc,[status(thm)],[zip_derived_cl256,zip_derived_cl160]) ).
thf(zip_derived_cl272,plain,
( ( topolo1276428101open_a @ ( sk__8 @ sk__14 ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(clc,[status(thm)],[zip_derived_cl270,zip_derived_cl257]) ).
thf(zip_derived_cl330,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(clc,[status(thm)],[zip_derived_cl329,zip_derived_cl272]) ).
thf(zip_derived_cl353,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( member_a @ x0 @ ( sk__5 @ sk__14 ) )
| ~ ( topolo1276428101open_a @ ( sk__5 @ sk__14 ) )
| ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl351,zip_derived_cl330]) ).
thf(zip_derived_cl355,plain,
( ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) )
| ~ ( member_a @ x0 @ ( sk__5 @ sk__14 ) )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl353]) ).
thf(zip_derived_cl358,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( member_a @ x0 @ ( sk__5 @ sk__14 ) )
| ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl355]) ).
thf(zip_derived_cl78_026,plain,
! [X0: extended_ereal] :
( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( member_a @ x0 @ ( sk__5 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl10,zip_derived_cl18]) ).
thf(zip_derived_cl365,plain,
( ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
| ( ( f @ x0 )
= extend1289208545_ereal ) ),
inference(clc,[status(thm)],[zip_derived_cl358,zip_derived_cl78]) ).
thf(zip_derived_cl330_027,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
inference(clc,[status(thm)],[zip_derived_cl329,zip_derived_cl272]) ).
thf(zip_derived_cl366,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl365,zip_derived_cl330]) ).
thf(zip_derived_cl36_028,plain,
( ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl367,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl36]) ).
thf(zip_derived_cl257_029,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(clc,[status(thm)],[zip_derived_cl256,zip_derived_cl160]) ).
thf(zip_derived_cl371,plain,
( ( f @ x0 )
= extend1289208545_ereal ),
inference(clc,[status(thm)],[zip_derived_cl367,zip_derived_cl257]) ).
thf(zip_derived_cl380,plain,
! [X0: extended_ereal] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ( member_a @ x0 @ ( sk__2 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= ( f @ x0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl371]) ).
thf(zip_derived_cl381,plain,
! [X0: extended_ereal] :
( ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( member_a @ x0 @ ( sk__2 @ X0 ) )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(simplify,[status(thm)],[zip_derived_cl380]) ).
thf(zip_derived_cl0,plain,
( ( ord_le2001149050_ereal @ sk_ @ ( f @ x0 ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
!= extend1289208545_ereal ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl371_030,plain,
( ( f @ x0 )
= extend1289208545_ereal ),
inference(clc,[status(thm)],[zip_derived_cl367,zip_derived_cl257]) ).
thf(zip_derived_cl372,plain,
( ( ord_le2001149050_ereal @ sk_ @ ( f @ x0 ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
!= ( f @ x0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl371]) ).
thf(zip_derived_cl373,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ( ord_le2001149050_ereal @ sk_ @ ( f @ x0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl372]) ).
thf(zip_derived_cl38_031,plain,
! [X1: extended_ereal] :
( ( lower_191460856_ereal @ x0 @ f )
| ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
| ( member_a @ x0 @ ( sk__13 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl393,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ( member_a @ x0 @ ( sk__13 @ sk_ ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl38]) ).
thf(zip_derived_cl399,plain,
( ( member_a @ x0 @ ( sk__13 @ sk_ ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(simplify,[status(thm)],[zip_derived_cl393]) ).
thf(zip_derived_cl2,plain,
! [X0: set_a] :
( ~ ( topolo1276428101open_a @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ( member_a @ ( sk__1 @ X0 ) @ X0 )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
!= extend1289208545_ereal ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl371_032,plain,
( ( f @ x0 )
= extend1289208545_ereal ),
inference(clc,[status(thm)],[zip_derived_cl367,zip_derived_cl257]) ).
thf(zip_derived_cl376,plain,
! [X0: set_a] :
( ~ ( topolo1276428101open_a @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ( member_a @ ( sk__1 @ X0 ) @ X0 )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
!= ( f @ x0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl371]) ).
thf(zip_derived_cl377,plain,
! [X0: set_a] :
( ( lower_191460856_ereal @ x0 @ f )
| ( member_a @ ( sk__1 @ X0 ) @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ~ ( topolo1276428101open_a @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl376]) ).
thf(zip_derived_cl406,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ~ ( topolo1276428101open_a @ ( sk__13 @ sk_ ) )
| ( member_a @ ( sk__1 @ ( sk__13 @ sk_ ) ) @ ( sk__13 @ sk_ ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl377]) ).
thf(zip_derived_cl422,plain,
( ( member_a @ ( sk__1 @ ( sk__13 @ sk_ ) ) @ ( sk__13 @ sk_ ) )
| ~ ( topolo1276428101open_a @ ( sk__13 @ sk_ ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(simplify,[status(thm)],[zip_derived_cl406]) ).
thf(zip_derived_cl373_033,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ( ord_le2001149050_ereal @ sk_ @ ( f @ x0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl372]) ).
thf(zip_derived_cl37_034,plain,
! [X1: extended_ereal] :
( ( lower_191460856_ereal @ x0 @ f )
| ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
| ( topolo1276428101open_a @ ( sk__13 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl394,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ( topolo1276428101open_a @ ( sk__13 @ sk_ ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl37]) ).
thf(zip_derived_cl400,plain,
( ( topolo1276428101open_a @ ( sk__13 @ sk_ ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(simplify,[status(thm)],[zip_derived_cl394]) ).
thf(zip_derived_cl452,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ( member_a @ ( sk__1 @ ( sk__13 @ sk_ ) ) @ ( sk__13 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl422,zip_derived_cl400]) ).
thf(zip_derived_cl373_035,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ( ord_le2001149050_ereal @ sk_ @ ( f @ x0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl372]) ).
thf(zip_derived_cl39_036,plain,
! [X1: extended_ereal,X2: a] :
( ( lower_191460856_ereal @ x0 @ f )
| ~ ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
| ( ord_le2001149050_ereal @ X1 @ ( f @ X2 ) )
| ~ ( member_a @ X2 @ ( sk__13 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl392,plain,
! [X0: a] :
( ( lower_191460856_ereal @ x0 @ f )
| ~ ( member_a @ X0 @ ( sk__13 @ sk_ ) )
| ( ord_le2001149050_ereal @ sk_ @ ( f @ X0 ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl39]) ).
thf(zip_derived_cl398,plain,
! [X0: a] :
( ( ord_le2001149050_ereal @ sk_ @ ( f @ X0 ) )
| ~ ( member_a @ X0 @ ( sk__13 @ sk_ ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(simplify,[status(thm)],[zip_derived_cl392]) ).
thf(zip_derived_cl453,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ( lower_191460856_ereal @ x0 @ f )
| ( ord_le2001149050_ereal @ sk_ @ ( f @ ( sk__1 @ ( sk__13 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl398]) ).
thf(zip_derived_cl455,plain,
( ( ord_le2001149050_ereal @ sk_ @ ( f @ ( sk__1 @ ( sk__13 @ sk_ ) ) ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(simplify,[status(thm)],[zip_derived_cl453]) ).
thf(zip_derived_cl1,plain,
! [X0: set_a] :
( ~ ( topolo1276428101open_a @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ~ ( ord_le2001149050_ereal @ sk_ @ ( f @ ( sk__1 @ X0 ) ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
!= extend1289208545_ereal ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl371_037,plain,
( ( f @ x0 )
= extend1289208545_ereal ),
inference(clc,[status(thm)],[zip_derived_cl367,zip_derived_cl257]) ).
thf(zip_derived_cl374,plain,
! [X0: set_a] :
( ~ ( topolo1276428101open_a @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ~ ( ord_le2001149050_ereal @ sk_ @ ( f @ ( sk__1 @ X0 ) ) )
| ( lower_191460856_ereal @ x0 @ f )
| ( ( f @ x0 )
!= ( f @ x0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl371]) ).
thf(zip_derived_cl375,plain,
! [X0: set_a] :
( ( lower_191460856_ereal @ x0 @ f )
| ~ ( ord_le2001149050_ereal @ sk_ @ ( f @ ( sk__1 @ X0 ) ) )
| ~ ( member_a @ x0 @ X0 )
| ~ ( topolo1276428101open_a @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl374]) ).
thf(zip_derived_cl457,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ~ ( topolo1276428101open_a @ ( sk__13 @ sk_ ) )
| ~ ( member_a @ x0 @ ( sk__13 @ sk_ ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl375]) ).
thf(zip_derived_cl459,plain,
( ~ ( member_a @ x0 @ ( sk__13 @ sk_ ) )
| ~ ( topolo1276428101open_a @ ( sk__13 @ sk_ ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(simplify,[status(thm)],[zip_derived_cl457]) ).
thf(zip_derived_cl399_038,plain,
( ( member_a @ x0 @ ( sk__13 @ sk_ ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(simplify,[status(thm)],[zip_derived_cl393]) ).
thf(zip_derived_cl462,plain,
( ( lower_191460856_ereal @ x0 @ f )
| ~ ( topolo1276428101open_a @ ( sk__13 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl459,zip_derived_cl399]) ).
thf(zip_derived_cl400_039,plain,
( ( topolo1276428101open_a @ ( sk__13 @ sk_ ) )
| ( lower_191460856_ereal @ x0 @ f ) ),
inference(simplify,[status(thm)],[zip_derived_cl394]) ).
thf(zip_derived_cl463,plain,
lower_191460856_ereal @ x0 @ f,
inference(clc,[status(thm)],[zip_derived_cl462,zip_derived_cl400]) ).
thf(zip_derived_cl468,plain,
! [X0: extended_ereal] :
( ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( member_a @ x0 @ ( sk__2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl463]) ).
thf(zip_derived_cl5,plain,
! [X0: extended_ereal] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ( topolo1276428101open_a @ ( sk__2 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= extend1289208545_ereal ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl371_040,plain,
( ( f @ x0 )
= extend1289208545_ereal ),
inference(clc,[status(thm)],[zip_derived_cl367,zip_derived_cl257]) ).
thf(zip_derived_cl382,plain,
! [X0: extended_ereal] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ( topolo1276428101open_a @ ( sk__2 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= ( f @ x0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl371]) ).
thf(zip_derived_cl383,plain,
! [X0: extended_ereal] :
( ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( topolo1276428101open_a @ ( sk__2 @ X0 ) )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(simplify,[status(thm)],[zip_derived_cl382]) ).
thf(zip_derived_cl463_041,plain,
lower_191460856_ereal @ x0 @ f,
inference(clc,[status(thm)],[zip_derived_cl462,zip_derived_cl400]) ).
thf(zip_derived_cl469,plain,
! [X0: extended_ereal] :
( ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( topolo1276428101open_a @ ( sk__2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl383,zip_derived_cl463]) ).
thf(zip_derived_cl34_042,plain,
! [X0: set_a] :
( ~ ( topolo1276428101open_a @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ( member_a @ ( sk__15 @ X0 ) @ X0 )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: extended_ereal,X1: a] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ( ord_le2001149050_ereal @ X0 @ ( f @ X1 ) )
| ~ ( member_a @ X1 @ ( sk__2 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= extend1289208545_ereal ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl90,plain,
! [X0: extended_ereal] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ~ ( member_a @ x0 @ ( sk__2 @ X0 ) )
| ~ ( topolo1276428101open_a @ ( sk__2 @ X0 ) )
| ( ( f @ x0 )
!= extend1289208545_ereal )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ord_le2001149050_ereal @ X0 @ ( f @ ( sk__15 @ ( sk__2 @ X0 ) ) ) )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl3]) ).
thf(zip_derived_cl96,plain,
! [X0: extended_ereal] :
( ( ord_le2001149050_ereal @ X0 @ ( f @ ( sk__15 @ ( sk__2 @ X0 ) ) ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= extend1289208545_ereal )
| ~ ( topolo1276428101open_a @ ( sk__2 @ X0 ) )
| ~ ( member_a @ x0 @ ( sk__2 @ X0 ) )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(simplify,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl5_043,plain,
! [X0: extended_ereal] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ( topolo1276428101open_a @ ( sk__2 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= extend1289208545_ereal ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl314,plain,
! [X0: extended_ereal] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ~ ( member_a @ x0 @ ( sk__2 @ X0 ) )
| ( ( f @ x0 )
!= extend1289208545_ereal )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ord_le2001149050_ereal @ X0 @ ( f @ ( sk__15 @ ( sk__2 @ X0 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl96,zip_derived_cl5]) ).
thf(zip_derived_cl4_044,plain,
! [X0: extended_ereal] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ( member_a @ x0 @ ( sk__2 @ X0 ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= extend1289208545_ereal ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062]) ).
thf(zip_derived_cl315,plain,
! [X0: extended_ereal] :
( ( ord_le2001149050_ereal @ X0 @ ( f @ ( sk__15 @ ( sk__2 @ X0 ) ) ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= extend1289208545_ereal )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(clc,[status(thm)],[zip_derived_cl314,zip_derived_cl4]) ).
thf(zip_derived_cl371_045,plain,
( ( f @ x0 )
= extend1289208545_ereal ),
inference(clc,[status(thm)],[zip_derived_cl367,zip_derived_cl257]) ).
thf(zip_derived_cl389,plain,
! [X0: extended_ereal] :
( ( ord_le2001149050_ereal @ X0 @ ( f @ ( sk__15 @ ( sk__2 @ X0 ) ) ) )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ( f @ x0 )
!= ( f @ x0 ) )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(demod,[status(thm)],[zip_derived_cl315,zip_derived_cl371]) ).
thf(zip_derived_cl390,plain,
! [X0: extended_ereal] :
( ~ ( lower_191460856_ereal @ x0 @ f )
| ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ord_le2001149050_ereal @ X0 @ ( f @ ( sk__15 @ ( sk__2 @ X0 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl389]) ).
thf(zip_derived_cl463_046,plain,
lower_191460856_ereal @ x0 @ f,
inference(clc,[status(thm)],[zip_derived_cl462,zip_derived_cl400]) ).
thf(zip_derived_cl497,plain,
! [X0: extended_ereal] :
( ~ ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
| ( ord_le2001149050_ereal @ X0 @ ( f @ ( sk__15 @ ( sk__2 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl390,zip_derived_cl463]) ).
thf(zip_derived_cl35_047,plain,
! [X0: set_a] :
( ~ ( topolo1276428101open_a @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ ( sk__15 @ X0 ) ) )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl463_048,plain,
lower_191460856_ereal @ x0 @ f,
inference(clc,[status(thm)],[zip_derived_cl462,zip_derived_cl400]) ).
thf(zip_derived_cl465,plain,
! [X0: set_a] :
( ~ ( topolo1276428101open_a @ X0 )
| ~ ( member_a @ x0 @ X0 )
| ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ ( sk__15 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl463]) ).
thf(zip_derived_cl498,plain,
( ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) )
| ~ ( member_a @ x0 @ ( sk__2 @ sk__14 ) )
| ~ ( topolo1276428101open_a @ ( sk__2 @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl465]) ).
thf(zip_derived_cl36_049,plain,
( ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) )
| ~ ( lower_191460856_ereal @ x0 @ f ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl463_050,plain,
lower_191460856_ereal @ x0 @ f,
inference(clc,[status(thm)],[zip_derived_cl462,zip_derived_cl400]) ).
thf(zip_derived_cl466,plain,
ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl463]) ).
thf(zip_derived_cl500,plain,
( ~ ( member_a @ x0 @ ( sk__2 @ sk__14 ) )
| ~ ( topolo1276428101open_a @ ( sk__2 @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl466]) ).
thf(zip_derived_cl502,plain,
( ~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) )
| ~ ( member_a @ x0 @ ( sk__2 @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl500]) ).
thf(zip_derived_cl466_051,plain,
ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl463]) ).
thf(zip_derived_cl504,plain,
~ ( member_a @ x0 @ ( sk__2 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl466]) ).
thf(zip_derived_cl506,plain,
~ ( ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl504]) ).
thf(zip_derived_cl466_052,plain,
ord_le2001149050_ereal @ sk__14 @ ( f @ x0 ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl463]) ).
thf(zip_derived_cl508,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl506,zip_derived_cl466]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP111^1 : TPTP v8.1.2. Released 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.YTmm9WSTyg true
% 0.14/0.35 % Computer : n016.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 : Sun Aug 27 11:20:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/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
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.90/0.80 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.48/0.92 % Solved by lams/40_c_ic.sh.
% 1.48/0.92 % done 142 iterations in 0.135s
% 1.48/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.48/0.92 % SZS output start Refutation
% See solution above
% 1.48/0.92
% 1.48/0.92
% 1.48/0.92 % Terminating...
% 1.68/0.97 % Runner terminated.
% 1.68/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------