TSTP Solution File: ITP147^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP147^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Y0nVTV3jqj true
% Computer : n021.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 05:22:29 EDT 2023
% Result : Theorem 112.13s 15.06s
% Output : Refutation 112.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 32
% Syntax : Number of formulae : 85 ( 9 unt; 24 typ; 0 def)
% Number of atoms : 386 ( 35 equ; 13 cnn)
% Maximal formula atoms : 12 ( 6 avg)
% Number of connectives : 1654 ( 96 ~; 57 |; 0 &;1246 @)
% ( 0 <=>; 180 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 12 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 73 ( 73 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 21 usr; 11 con; 0-4 aty)
% ( 75 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 158 ( 76 ^; 82 !; 0 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
thf(real_type,type,
real: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(a_type,type,
a: $tType ).
thf(abs_abs_real_type,type,
abs_abs_real: real > real ).
thf(b_type,type,
b: a ).
thf('#sk1_type',type,
'#sk1': real ).
thf(zero_zero_real_type,type,
zero_zero_real: real ).
thf('#form35_type',type,
'#form35': real > ( a > real ) > $o ).
thf(auto_ll_on_flow0_a_type,type,
auto_ll_on_flow0_a: ( a > a ) > set_a > a > real > a ).
thf(topolo1710226732a_real_type,type,
topolo1710226732a_real: set_a > ( a > real ) > $o ).
thf(elemen154694473ball_a_type,type,
elemen154694473ball_a: a > real > set_a ).
thf('#sk36_type',type,
'#sk36': real > ( a > real ) > a ).
thf(line_open_segment_a_type,type,
line_open_segment_a: a > a > set_a ).
thf(a2_type,type,
a2: a ).
thf(p_type,type,
p: a ).
thf(one_one_real_type,type,
one_one_real: real ).
thf(member_a_type,type,
member_a: a > set_a > $o ).
thf(thesisa_type,type,
thesisa: $o ).
thf(ord_less_real_type,type,
ord_less_real: real > real > $o ).
thf('#sk2_type',type,
'#sk2': a > real ).
thf(f_type,type,
f: a > a ).
thf('#form96_type',type,
'#form96': real > ( a > real ) > $o ).
thf(x_type,type,
x: set_a ).
thf('#sk27_type',type,
'#sk27': real > ( a > real ) > a ).
thf(fact_4_that,axiom,
! [Delta: real,Tau: a > real] :
( ( ord_less_real @ zero_zero_real @ Delta )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ Delta ) @ Tau )
=> ( ( ( Tau @ p )
= zero_zero_real )
=> ( ! [Y3: a] :
( ( member_a @ Y3 @ ( elemen154694473ball_a @ p @ Delta ) )
=> ( ord_less_real @ ( abs_abs_real @ ( Tau @ Y3 ) ) @ one_one_real ) )
=> ( ! [Y3: a] :
( ( member_a @ Y3 @ ( elemen154694473ball_a @ p @ Delta ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y3 @ ( Tau @ Y3 ) ) @ ( line_open_segment_a @ a2 @ b ) ) )
=> thesisa ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: real] :
( !!
@ ^ [Y1: a > real] :
( ( ord_less_real @ zero_zero_real @ Y0 )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ Y0 ) @ Y1 )
=> ( ( ( Y1 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y2: a] :
( ( member_a @ Y2 @ ( elemen154694473ball_a @ p @ Y0 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( Y1 @ Y2 ) ) @ one_one_real ) ) )
=> ( ( !!
@ ^ [Y2: a] :
( ( member_a @ Y2 @ ( elemen154694473ball_a @ p @ Y0 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y2 @ ( Y1 @ Y2 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
=> thesisa ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_4_that]) ).
thf(zip_derived_cl362,plain,
! [X2: real] :
( !!
@ ^ [Y0: a > real] :
( ( ord_less_real @ zero_zero_real @ X2 )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ Y0 )
=> ( ( ( Y0 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( Y0 @ Y1 ) ) @ one_one_real ) ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y1 @ ( Y0 @ Y1 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
=> thesisa ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl363,plain,
! [X2: real,X4: a > real] :
( ( ord_less_real @ zero_zero_real @ X2 )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
=> ( ( ( X4 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
=> thesisa ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl362]) ).
thf(conj_1,conjecture,
thesisa ).
thf(zf_stmt_0,negated_conjecture,
~ thesisa,
inference('cnf.neg',[status(esa)],[conj_1]) ).
thf(zip_derived_cl326,plain,
~ thesisa,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl364,plain,
! [X2: real,X4: a > real] :
( ( ord_less_real @ zero_zero_real @ X2 )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
=> ( ( ( X4 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
=> $false ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl326]) ).
thf(zip_derived_cl365,plain,
! [X2: real,X4: a > real] :
( ( ord_less_real @ zero_zero_real @ X2 )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
=> ( ( ( X4 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( (~)
@ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl364]) ).
thf(zip_derived_cl366,plain,
! [X2: real,X4: a > real] :
( ~ ( ord_less_real @ zero_zero_real @ X2 )
| ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
=> ( ( ( X4 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( (~)
@ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl365]) ).
thf(zip_derived_cl367,plain,
! [X2: real,X4: a > real] :
( ~ ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
| ( ( ( X4 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( (~)
@ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ) ) )
| ~ ( ord_less_real @ zero_zero_real @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl366]) ).
thf(zip_derived_cl368,plain,
! [X2: real,X4: a > real] :
( ( ( X4 @ p )
!= zero_zero_real )
| ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( (~)
@ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ) )
| ~ ( ord_less_real @ zero_zero_real @ X2 )
| ~ ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl367]) ).
thf(zip_derived_cl369,plain,
! [X2: real,X4: a > real] :
( ( ( X4 @ p )
!= zero_zero_real )
| ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( (~)
@ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ) )
| ~ ( ord_less_real @ zero_zero_real @ X2 )
| ~ ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl368]) ).
thf(zip_derived_cl370,plain,
! [X2: real,X4: a > real] :
( ~ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
| ~ ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
| ~ ( ord_less_real @ zero_zero_real @ X2 )
| ( ( X4 @ p )
!= zero_zero_real ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl369]) ).
thf(zip_derived_cl371,plain,
! [X2: real,X4: a > real] :
( ~ ( ( member_a @ ( '#sk27' @ X2 @ X4 ) @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ ( '#sk27' @ X2 @ X4 ) ) ) @ one_one_real ) )
| ( ( X4 @ p )
!= zero_zero_real )
| ~ ( ord_less_real @ zero_zero_real @ X2 )
| ~ ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
| ~ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl370]) ).
thf(zip_derived_cl372,plain,
! [X2: real,X4: a > real] :
( ( member_a @ ( '#sk27' @ X2 @ X4 ) @ ( elemen154694473ball_a @ p @ X2 ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
| ~ ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
| ~ ( ord_less_real @ zero_zero_real @ X2 )
| ( ( X4 @ p )
!= zero_zero_real ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl371]) ).
thf(zip_derived_cl374,plain,
! [X2: real,X4: a > real] :
( ( '#form35' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl375,plain,
! [X2: real,X4: a > real] :
( ~ ( ( member_a @ ( '#sk36' @ X2 @ X4 ) @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ ( '#sk36' @ X2 @ X4 ) @ ( X4 @ ( '#sk36' @ X2 @ X4 ) ) ) @ ( line_open_segment_a @ a2 @ b ) ) )
| ( '#form35' @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl374]) ).
thf(zip_derived_cl378,plain,
! [X2: real,X4: a > real] :
( ( member_a @ ( '#sk36' @ X2 @ X4 ) @ ( elemen154694473ball_a @ p @ X2 ) )
| ( '#form35' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl375]) ).
thf(fact_3__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062d_At_O_A_092_060lbrakk_0620_A_060_Ad_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_Aflow0_Ay_A_It_Ay_J_A_092_060in_062_A_123a_060_N_N_060b_125_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_A_092_060bar_062t_Ay_092_060bar_062_A_060_A1_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_At_Ap_A_061_A0_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,axiom,
~ ! [D: real] :
( ( ord_less_real @ zero_zero_real @ D )
=> ! [T: a > real] :
( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ D ) @ T )
=> ( ! [Y2: a] :
( ( member_a @ Y2 @ ( elemen154694473ball_a @ p @ D ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y2 @ ( T @ Y2 ) ) @ ( line_open_segment_a @ a2 @ b ) ) )
=> ( ! [Y2: a] :
( ( member_a @ Y2 @ ( elemen154694473ball_a @ p @ D ) )
=> ( ord_less_real @ ( abs_abs_real @ ( T @ Y2 ) ) @ one_one_real ) )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ D ) @ T )
=> ( ( T @ p )
!= zero_zero_real ) ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: real] :
( ( ord_less_real @ zero_zero_real @ Y0 )
=> ( !!
@ ^ [Y1: a > real] :
( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ Y0 ) @ Y1 )
=> ( ( !!
@ ^ [Y2: a] :
( ( member_a @ Y2 @ ( elemen154694473ball_a @ p @ Y0 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y2 @ ( Y1 @ Y2 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
=> ( ( !!
@ ^ [Y2: a] :
( ( member_a @ Y2 @ ( elemen154694473ball_a @ p @ Y0 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( Y1 @ Y2 ) ) @ one_one_real ) ) )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ Y0 ) @ Y1 )
=> ( ( Y1 @ p )
!= zero_zero_real ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_3__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062d_At_O_A_092_060lbrakk_0620_A_060_Ad_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_Aflow0_Ay_A_It_Ay_J_A_092_060in_062_A_123a_060_N_N_060b_125_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_A_092_060bar_062t_Ay_092_060bar_062_A_060_A1_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_At_Ap_A_061_A0_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062]) ).
thf(zip_derived_cl335,plain,
~ ( ( ord_less_real @ zero_zero_real @ '#sk1' )
=> ( !!
@ ^ [Y0: a > real] :
( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ '#sk1' ) @ Y0 )
=> ( ( !!
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y1 @ ( Y0 @ Y1 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
=> ( ord_less_real @ ( abs_abs_real @ ( Y0 @ Y1 ) ) @ one_one_real ) ) )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ '#sk1' ) @ Y0 )
=> ( ( Y0 @ p )
!= zero_zero_real ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl336,plain,
ord_less_real @ zero_zero_real @ '#sk1',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl335]) ).
thf(zip_derived_cl337,plain,
~ ( !!
@ ^ [Y0: a > real] :
( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ '#sk1' ) @ Y0 )
=> ( ( !!
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y1 @ ( Y0 @ Y1 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
=> ( ord_less_real @ ( abs_abs_real @ ( Y0 @ Y1 ) ) @ one_one_real ) ) )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ '#sk1' ) @ Y0 )
=> ( ( Y0 @ p )
!= zero_zero_real ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl335]) ).
thf(zip_derived_cl338,plain,
~ ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ '#sk1' ) @ '#sk2' )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( '#sk2' @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
=> ( ord_less_real @ ( abs_abs_real @ ( '#sk2' @ Y0 ) ) @ one_one_real ) ) )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ '#sk1' ) @ '#sk2' )
=> ( ( '#sk2' @ p )
!= zero_zero_real ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl337]) ).
thf(zip_derived_cl340,plain,
~ ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( '#sk2' @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
=> ( ord_less_real @ ( abs_abs_real @ ( '#sk2' @ Y0 ) ) @ one_one_real ) ) )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ '#sk1' ) @ '#sk2' )
=> ( ( '#sk2' @ p )
!= zero_zero_real ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl338]) ).
thf(zip_derived_cl342,plain,
~ ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
=> ( ord_less_real @ ( abs_abs_real @ ( '#sk2' @ Y0 ) ) @ one_one_real ) ) )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ '#sk1' ) @ '#sk2' )
=> ( ( '#sk2' @ p )
!= zero_zero_real ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl340]) ).
thf(zip_derived_cl345,plain,
~ ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ '#sk1' ) @ '#sk2' )
=> ( ( '#sk2' @ p )
!= zero_zero_real ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl342]) ).
thf(zip_derived_cl349,plain,
( ( '#sk2' @ p )
!= zero_zero_real ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl345]) ).
thf(zip_derived_cl351,plain,
( ( '#sk2' @ p )
= zero_zero_real ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl349]) ).
thf(zip_derived_cl339,plain,
topolo1710226732a_real @ ( elemen154694473ball_a @ p @ '#sk1' ) @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl338]) ).
thf(conj_0,axiom,
! [Delta2: real,Tau2: a > real] :
( ( ord_less_real @ zero_zero_real @ Delta2 )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ Delta2 ) @ Tau2 )
=> ( ( ( Tau2 @ p )
= zero_zero_real )
=> ( ! [Y3: a] :
( ( member_a @ Y3 @ ( elemen154694473ball_a @ p @ Delta2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( Tau2 @ Y3 ) ) @ one_one_real ) )
=> ( ! [Y3: a] :
( ( member_a @ Y3 @ ( elemen154694473ball_a @ p @ Delta2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y3 @ ( Tau2 @ Y3 ) ) @ ( line_open_segment_a @ a2 @ b ) ) )
=> thesisa ) ) ) ) ) ).
thf(zip_derived_cl325,plain,
( !!
@ ^ [Y0: real] :
( !!
@ ^ [Y1: a > real] :
( ( ord_less_real @ zero_zero_real @ Y0 )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ Y0 ) @ Y1 )
=> ( ( ( Y1 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y2: a] :
( ( member_a @ Y2 @ ( elemen154694473ball_a @ p @ Y0 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( Y1 @ Y2 ) ) @ one_one_real ) ) )
=> ( ( !!
@ ^ [Y2: a] :
( ( member_a @ Y2 @ ( elemen154694473ball_a @ p @ Y0 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y2 @ ( Y1 @ Y2 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
=> thesisa ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl1521,plain,
! [X2: real] :
( !!
@ ^ [Y0: a > real] :
( ( ord_less_real @ zero_zero_real @ X2 )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ Y0 )
=> ( ( ( Y0 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( Y0 @ Y1 ) ) @ one_one_real ) ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y1 @ ( Y0 @ Y1 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
=> thesisa ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl325]) ).
thf(zip_derived_cl1522,plain,
! [X2: real,X4: a > real] :
( ( ord_less_real @ zero_zero_real @ X2 )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
=> ( ( ( X4 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
=> thesisa ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1521]) ).
thf(zip_derived_cl326_001,plain,
~ thesisa,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1523,plain,
! [X2: real,X4: a > real] :
( ( ord_less_real @ zero_zero_real @ X2 )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
=> ( ( ( X4 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
=> $false ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1522,zip_derived_cl326]) ).
thf(zip_derived_cl1524,plain,
! [X2: real,X4: a > real] :
( ( ord_less_real @ zero_zero_real @ X2 )
=> ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
=> ( ( ( X4 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( (~)
@ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1523]) ).
thf(zip_derived_cl1525,plain,
! [X2: real,X4: a > real] :
( ~ ( ord_less_real @ zero_zero_real @ X2 )
| ( ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
=> ( ( ( X4 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( (~)
@ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1524]) ).
thf(zip_derived_cl1526,plain,
! [X2: real,X4: a > real] :
( ~ ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
| ( ( ( X4 @ p )
= zero_zero_real )
=> ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( (~)
@ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ) ) )
| ~ ( ord_less_real @ zero_zero_real @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1525]) ).
thf(zip_derived_cl1527,plain,
! [X2: real,X4: a > real] :
( ( ( X4 @ p )
!= zero_zero_real )
| ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( (~)
@ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ) )
| ~ ( ord_less_real @ zero_zero_real @ X2 )
| ~ ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1526]) ).
thf(zip_derived_cl1528,plain,
! [X2: real,X4: a > real] :
( ( ( X4 @ p )
!= zero_zero_real )
| ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( (~)
@ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ) )
| ~ ( ord_less_real @ zero_zero_real @ X2 )
| ~ ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1527]) ).
thf(zip_derived_cl1529,plain,
! [X2: real,X4: a > real] :
( ~ ( '#form96' @ X2 @ X4 )
| ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( (~)
@ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl1530,plain,
! [X2: real,X4: a > real] :
( ~ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) )
| ~ ( '#form96' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1529]) ).
thf(zip_derived_cl374_002,plain,
! [X2: real,X4: a > real] :
( ( '#form35' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl1532,plain,
! [X2: real,X4: a > real] :
( ~ ( '#form35' @ X2
@ ^ [Y0: a] : ( X4 @ Y0 ) )
| ~ ( '#form96' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl1530,zip_derived_cl374]) ).
thf(zip_derived_cl1533,plain,
! [X2: real,X4: a > real] :
( ~ ( '#form35' @ X2 @ X4 )
| ~ ( '#form96' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1532]) ).
thf(zip_derived_cl1534,plain,
! [X2: real,X4: a > real] :
( ~ ( ( member_a @ ( '#sk27' @ X2 @ X4 ) @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ ( '#sk27' @ X2 @ X4 ) ) ) @ one_one_real ) )
| ~ ( '#form96' @ X2 @ X4 )
| ~ ( '#form35' @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1533]) ).
thf(zip_derived_cl1535,plain,
! [X2: real,X4: a > real] :
( ( member_a @ ( '#sk27' @ X2 @ X4 ) @ ( elemen154694473ball_a @ p @ X2 ) )
| ~ ( '#form35' @ X2 @ X4 )
| ~ ( '#form96' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1534]) ).
thf(zip_derived_cl341,plain,
( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( '#sk2' @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl340]) ).
thf(zip_derived_cl343,plain,
! [X2: a] :
( ( member_a @ X2 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ X2 @ ( '#sk2' @ X2 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl341]) ).
thf(zip_derived_cl346,plain,
! [X2: a] :
( ~ ( member_a @ X2 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
| ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ X2 @ ( '#sk2' @ X2 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl343]) ).
thf(zip_derived_cl379,plain,
! [X2: real,X4: a > real] :
( ~ ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ ( '#sk36' @ X2 @ X4 ) @ ( X4 @ ( '#sk36' @ X2 @ X4 ) ) ) @ ( line_open_segment_a @ a2 @ b ) )
| ( '#form35' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl375]) ).
thf(zip_derived_cl1528_003,plain,
! [X2: real,X4: a > real] :
( ( ( X4 @ p )
!= zero_zero_real )
| ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( (~)
@ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ) )
| ~ ( ord_less_real @ zero_zero_real @ X2 )
| ~ ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1527]) ).
thf(zip_derived_cl1529_004,plain,
! [X2: real,X4: a > real] :
( ~ ( '#form96' @ X2 @ X4 )
| ( ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( ord_less_real @ ( abs_abs_real @ ( X4 @ Y0 ) ) @ one_one_real ) ) )
=> ( (~)
@ ( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ X2 ) )
=> ( member_a @ ( auto_ll_on_flow0_a @ f @ x @ Y0 @ ( X4 @ Y0 ) ) @ ( line_open_segment_a @ a2 @ b ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl1531,plain,
! [X2: real,X4: a > real] :
( ( '#form96' @ X2 @ X4 )
| ~ ( topolo1710226732a_real @ ( elemen154694473ball_a @ p @ X2 ) @ X4 )
| ~ ( ord_less_real @ zero_zero_real @ X2 )
| ( ( X4 @ p )
!= zero_zero_real ) ),
inference(renaming,[status(thm)],[zip_derived_cl1528,zip_derived_cl1529]) ).
thf(zip_derived_cl344,plain,
( !!
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
=> ( ord_less_real @ ( abs_abs_real @ ( '#sk2' @ Y0 ) ) @ one_one_real ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl342]) ).
thf(zip_derived_cl347,plain,
! [X2: a] :
( ( member_a @ X2 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
=> ( ord_less_real @ ( abs_abs_real @ ( '#sk2' @ X2 ) ) @ one_one_real ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl344]) ).
thf(zip_derived_cl350,plain,
! [X2: a] :
( ~ ( member_a @ X2 @ ( elemen154694473ball_a @ p @ '#sk1' ) )
| ( ord_less_real @ ( abs_abs_real @ ( '#sk2' @ X2 ) ) @ one_one_real ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl347]) ).
thf(zip_derived_cl1536,plain,
! [X2: real,X4: a > real] :
( ~ ( ord_less_real @ ( abs_abs_real @ ( X4 @ ( '#sk27' @ X2 @ X4 ) ) ) @ one_one_real )
| ~ ( '#form35' @ X2 @ X4 )
| ~ ( '#form96' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1534]) ).
thf(zip_derived_cl33369,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl378,zip_derived_cl336,zip_derived_cl351,zip_derived_cl339,zip_derived_cl1535,zip_derived_cl346,zip_derived_cl379,zip_derived_cl1531,zip_derived_cl350,zip_derived_cl1536]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP147^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Y0nVTV3jqj true
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 16:10:58 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in HO mode
% 0.22/0.63 % Total configuration time : 828
% 0.22/0.63 % Estimated wc time : 1656
% 0.22/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.52/0.86 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 1.52/0.87 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 112.13/15.06 % Solved by lams/30_b.l.sh.
% 112.13/15.06 % done 1356 iterations in 14.130s
% 112.13/15.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 112.13/15.06 % SZS output start Refutation
% See solution above
% 112.13/15.07
% 112.13/15.07
% 112.13/15.07 % Terminating...
% 112.98/15.19 % Runner terminated.
% 112.98/15.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------