TSTP Solution File: ITP133^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP133^1 : 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.HgqkEC0hyl true
% Computer : n013.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 05:22:23 EDT 2023
% Result : Theorem 21.01s 3.52s
% Output : Refutation 21.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 18
% Syntax : Number of formulae : 150 ( 28 unt; 12 typ; 0 def)
% Number of atoms : 359 ( 134 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 941 ( 89 ~; 212 |; 4 &; 631 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 68 ( 19 ^; 49 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(set_nat_type,type,
set_nat: $tType ).
thf(sk__18_type,type,
sk__18: nat ).
thf(times_times_nat_type,type,
times_times_nat: nat > nat > nat ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf(set_ord_atMost_nat_type,type,
set_ord_atMost_nat: nat > set_nat ).
thf(groups1842438620at_nat_type,type,
groups1842438620at_nat: ( nat > nat ) > set_nat > nat ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(one_one_nat_type,type,
one_one_nat: nat ).
thf(sk__17_type,type,
sk__17: nat ).
thf('#sk649_type',type,
'#sk649': nat ).
thf(p_type,type,
p: nat > nat ).
thf(fact_75_not__one__le__zero,axiom,
~ ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat ) ).
thf(zip_derived_cl110,plain,
~ ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat ),
inference(cnf,[status(esa)],[fact_75_not__one__le__zero]) ).
thf(conj_0,conjecture,
( ( ( ( groups1842438620at_nat
@ ^ [I2: nat] : ( times_times_nat @ ( p @ I2 ) @ I2 )
@ ( set_ord_atMost_nat @ zero_zero_nat ) )
= zero_zero_nat )
& ! [I2: nat] :
( ( ( p @ I2 )
!= zero_zero_nat )
=> ( ( ord_less_eq_nat @ one_one_nat @ I2 )
& ( ord_less_eq_nat @ I2 @ zero_zero_nat ) ) ) )
<=> ! [I2: nat] :
( ( p @ I2 )
= zero_zero_nat ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( groups1842438620at_nat
@ ^ [I2: nat] : ( times_times_nat @ ( p @ I2 ) @ I2 )
@ ( set_ord_atMost_nat @ zero_zero_nat ) )
= zero_zero_nat )
& ! [I2: nat] :
( ( ( p @ I2 )
!= zero_zero_nat )
=> ( ( ord_less_eq_nat @ one_one_nat @ I2 )
& ( ord_less_eq_nat @ I2 @ zero_zero_nat ) ) ) )
<=> ! [I2: nat] :
( ( p @ I2 )
= zero_zero_nat ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl181,plain,
! [X0: nat,X1: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ X1 @ zero_zero_nat )
| ( ( p @ X1 )
= zero_zero_nat ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl695,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(condensation,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl695_001,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(condensation,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl695_002,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(condensation,[status(thm)],[zip_derived_cl181]) ).
thf(fact_0_sum_Oneutral__const,axiom,
! [A: set_nat] :
( ( groups1842438620at_nat
@ ^ [Uu: nat] : zero_zero_nat
@ A )
= zero_zero_nat ) ).
thf(zip_derived_cl0,plain,
! [X0: set_nat] :
( ( groups1842438620at_nat
@ ^ [Y0: nat] : zero_zero_nat
@ X0 )
= zero_zero_nat ),
inference(cnf,[status(esa)],[fact_0_sum_Oneutral__const]) ).
thf(zip_derived_cl183,plain,
( ( ( p @ sk__17 )
!= zero_zero_nat )
| ( ( p @ sk__18 )
!= zero_zero_nat )
| ( ( groups1842438620at_nat
@ ^ [Y0: nat] : ( times_times_nat @ ( p @ Y0 ) @ Y0 )
@ ( set_ord_atMost_nat @ zero_zero_nat ) )
!= zero_zero_nat ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl186,plain,
( ( ( ^ [Y0: nat] : zero_zero_nat )
!= ( ^ [Y0: nat] : ( times_times_nat @ ( p @ Y0 ) @ Y0 ) ) )
| ( ( p @ sk__17 )
!= zero_zero_nat )
| ( ( p @ sk__18 )
!= zero_zero_nat )
| ( zero_zero_nat != zero_zero_nat ) ),
inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl183]) ).
thf(zip_derived_cl187,plain,
( ( ( p @ sk__18 )
!= zero_zero_nat )
| ( ( p @ sk__17 )
!= zero_zero_nat )
| ( ( ^ [Y0: nat] : zero_zero_nat )
!= ( ^ [Y0: nat] : ( times_times_nat @ ( p @ Y0 ) @ Y0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl696,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( ( ^ [Y0: nat] : zero_zero_nat )
!= ( ^ [Y0: nat] : ( times_times_nat @ ( p @ Y0 ) @ Y0 ) ) )
| ( ( p @ sk__17 )
!= zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl187]) ).
thf(zip_derived_cl704,plain,
( ( ( p @ sk__17 )
!= zero_zero_nat )
| ( ( ^ [Y0: nat] : zero_zero_nat )
!= ( ^ [Y0: nat] : ( times_times_nat @ ( p @ Y0 ) @ Y0 ) ) )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl696]) ).
thf(zip_derived_cl744,plain,
( ( ( p @ sk__17 )
!= zero_zero_nat )
| ( zero_zero_nat
!= ( times_times_nat @ ( p @ '#sk649' ) @ '#sk649' ) )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl704]) ).
thf(fact_143_mult_Ocommute,axiom,
! [A4: nat,B4: nat] :
( ( times_times_nat @ A4 @ B4 )
= ( times_times_nat @ B4 @ A4 ) ) ).
thf(zip_derived_cl132,plain,
! [X0: nat,X1: nat] :
( ( times_times_nat @ X1 @ X0 )
= ( times_times_nat @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_143_mult_Ocommute]) ).
thf(zip_derived_cl745,plain,
( ( ( p @ sk__17 )
!= zero_zero_nat )
| ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference(demod,[status(thm)],[zip_derived_cl744,zip_derived_cl132]) ).
thf(zip_derived_cl1980,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl745]) ).
thf(zip_derived_cl1995,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl1980]) ).
thf(zip_derived_cl2956,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ zero_zero_nat ) )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl1995]) ).
thf(fact_14_mult__zero__right,axiom,
! [A2: nat] :
( ( times_times_nat @ A2 @ zero_zero_nat )
= zero_zero_nat ) ).
thf(zip_derived_cl22,plain,
! [X0: nat] :
( ( times_times_nat @ X0 @ zero_zero_nat )
= zero_zero_nat ),
inference(cnf,[status(esa)],[fact_14_mult__zero__right]) ).
thf(zip_derived_cl2977,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference(demod,[status(thm)],[zip_derived_cl2956,zip_derived_cl22]) ).
thf(zip_derived_cl2978,plain,
( ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl2977]) ).
thf(fact_45_bot__nat__0_Oextremum__uniqueI,axiom,
! [A2: nat] :
( ( ord_less_eq_nat @ A2 @ zero_zero_nat )
=> ( A2 = zero_zero_nat ) ) ).
thf(zip_derived_cl77,plain,
! [X0: nat] :
( ( X0 = zero_zero_nat )
| ~ ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_45_bot__nat__0_Oextremum__uniqueI]) ).
thf(zip_derived_cl3638,plain,
( ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( sk__17 = zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl2978,zip_derived_cl77]) ).
thf(zip_derived_cl77_003,plain,
! [X0: nat] :
( ( X0 = zero_zero_nat )
| ~ ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_45_bot__nat__0_Oextremum__uniqueI]) ).
thf(zip_derived_cl3659,plain,
( ( sk__17 = zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( sk__18 = zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl3638,zip_derived_cl77]) ).
thf(zip_derived_cl695_004,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(condensation,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl182,plain,
! [X0: nat,X1: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ X1 )
| ( ( p @ X1 )
= zero_zero_nat ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl712,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl745_005,plain,
( ( ( p @ sk__17 )
!= zero_zero_nat )
| ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference(demod,[status(thm)],[zip_derived_cl744,zip_derived_cl132]) ).
thf(zip_derived_cl1979,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl745]) ).
thf(zip_derived_cl1994,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1979]) ).
thf(zip_derived_cl2418,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ zero_zero_nat ) )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl1994]) ).
thf(zip_derived_cl22_006,plain,
! [X0: nat] :
( ( times_times_nat @ X0 @ zero_zero_nat )
= zero_zero_nat ),
inference(cnf,[status(esa)],[fact_14_mult__zero__right]) ).
thf(zip_derived_cl2437,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference(demod,[status(thm)],[zip_derived_cl2418,zip_derived_cl22]) ).
thf(zip_derived_cl2438,plain,
( ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl2437]) ).
thf(zip_derived_cl3902,plain,
( ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat )
| ( sk__18 = zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference('sup+',[status(thm)],[zip_derived_cl3659,zip_derived_cl2438]) ).
thf(zip_derived_cl110_007,plain,
~ ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat ),
inference(cnf,[status(esa)],[fact_75_not__one__le__zero]) ).
thf(zip_derived_cl3914,plain,
( ( sk__18 = zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference(demod,[status(thm)],[zip_derived_cl3902,zip_derived_cl110]) ).
thf(zip_derived_cl3915,plain,
( ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( sk__18 = zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl3914]) ).
thf(zip_derived_cl77_008,plain,
! [X0: nat] :
( ( X0 = zero_zero_nat )
| ~ ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_45_bot__nat__0_Oextremum__uniqueI]) ).
thf(zip_derived_cl4091,plain,
( ( sk__18 = zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat ) ),
inference(clc,[status(thm)],[zip_derived_cl3915,zip_derived_cl77]) ).
thf(zip_derived_cl4091_009,plain,
( ( sk__18 = zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat ) ),
inference(clc,[status(thm)],[zip_derived_cl3915,zip_derived_cl77]) ).
thf(zip_derived_cl695_010,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(condensation,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl695_011,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(condensation,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl712_012,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl187_013,plain,
( ( ( p @ sk__18 )
!= zero_zero_nat )
| ( ( p @ sk__17 )
!= zero_zero_nat )
| ( ( ^ [Y0: nat] : zero_zero_nat )
!= ( ^ [Y0: nat] : ( times_times_nat @ ( p @ Y0 ) @ Y0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl713,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 )
| ( ( ^ [Y0: nat] : zero_zero_nat )
!= ( ^ [Y0: nat] : ( times_times_nat @ ( p @ Y0 ) @ Y0 ) ) )
| ( ( p @ sk__17 )
!= zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl187]) ).
thf(zip_derived_cl721,plain,
( ( ( p @ sk__17 )
!= zero_zero_nat )
| ( ( ^ [Y0: nat] : zero_zero_nat )
!= ( ^ [Y0: nat] : ( times_times_nat @ ( p @ Y0 ) @ Y0 ) ) )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl713]) ).
thf(zip_derived_cl748,plain,
( ( ( p @ sk__17 )
!= zero_zero_nat )
| ( zero_zero_nat
!= ( times_times_nat @ ( p @ '#sk649' ) @ '#sk649' ) )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl721]) ).
thf(zip_derived_cl132_014,plain,
! [X0: nat,X1: nat] :
( ( times_times_nat @ X1 @ X0 )
= ( times_times_nat @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_143_mult_Ocommute]) ).
thf(zip_derived_cl749,plain,
( ( ( p @ sk__17 )
!= zero_zero_nat )
| ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl748,zip_derived_cl132]) ).
thf(zip_derived_cl2015,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 )
| ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl749]) ).
thf(zip_derived_cl2027,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl2015]) ).
thf(zip_derived_cl7482,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ zero_zero_nat ) )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl2027]) ).
thf(zip_derived_cl22_015,plain,
! [X0: nat] :
( ( times_times_nat @ X0 @ zero_zero_nat )
= zero_zero_nat ),
inference(cnf,[status(esa)],[fact_14_mult__zero__right]) ).
thf(zip_derived_cl7595,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl7482,zip_derived_cl22]) ).
thf(zip_derived_cl7596,plain,
( ( ord_less_eq_nat @ one_one_nat @ sk__18 )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl7595]) ).
thf(zip_derived_cl8004,plain,
( ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat ) ),
inference('sup+',[status(thm)],[zip_derived_cl4091,zip_derived_cl7596]) ).
thf(zip_derived_cl110_016,plain,
~ ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat ),
inference(cnf,[status(esa)],[fact_75_not__one__le__zero]) ).
thf(zip_derived_cl8019,plain,
( ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat ) ),
inference(demod,[status(thm)],[zip_derived_cl8004,zip_derived_cl110]) ).
thf(zip_derived_cl8020,plain,
( ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl8019]) ).
thf(zip_derived_cl77_017,plain,
! [X0: nat] :
( ( X0 = zero_zero_nat )
| ~ ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_45_bot__nat__0_Oextremum__uniqueI]) ).
thf(zip_derived_cl8028,plain,
( ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( sk__17 = zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl8020,zip_derived_cl77]) ).
thf(zip_derived_cl695_018,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(condensation,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl712_019,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl749_020,plain,
( ( ( p @ sk__17 )
!= zero_zero_nat )
| ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl748,zip_derived_cl132]) ).
thf(zip_derived_cl2014,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 )
| ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl749]) ).
thf(zip_derived_cl2026,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2014]) ).
thf(zip_derived_cl6984,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ zero_zero_nat ) )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl2026]) ).
thf(zip_derived_cl22_021,plain,
! [X0: nat] :
( ( times_times_nat @ X0 @ zero_zero_nat )
= zero_zero_nat ),
inference(cnf,[status(esa)],[fact_14_mult__zero__right]) ).
thf(zip_derived_cl7009,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl6984,zip_derived_cl22]) ).
thf(zip_derived_cl7010,plain,
( ( ord_less_eq_nat @ one_one_nat @ sk__18 )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl7009]) ).
thf(zip_derived_cl8059,plain,
( ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference('sup+',[status(thm)],[zip_derived_cl8028,zip_derived_cl7010]) ).
thf(zip_derived_cl110_022,plain,
~ ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat ),
inference(cnf,[status(esa)],[fact_75_not__one__le__zero]) ).
thf(zip_derived_cl8077,plain,
( ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl8059,zip_derived_cl110]) ).
thf(zip_derived_cl8078,plain,
( ( ord_less_eq_nat @ one_one_nat @ sk__18 )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl8077]) ).
thf(zip_derived_cl8096,plain,
( ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat ) ),
inference('sup+',[status(thm)],[zip_derived_cl4091,zip_derived_cl8078]) ).
thf(zip_derived_cl8123,plain,
( ( ord_less_eq_nat @ '#sk649' @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl8096]) ).
thf(zip_derived_cl110_023,plain,
~ ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat ),
inference(cnf,[status(esa)],[fact_75_not__one__le__zero]) ).
thf(zip_derived_cl8146,plain,
ord_less_eq_nat @ '#sk649' @ zero_zero_nat,
inference(clc,[status(thm)],[zip_derived_cl8123,zip_derived_cl110]) ).
thf(zip_derived_cl77_024,plain,
! [X0: nat] :
( ( X0 = zero_zero_nat )
| ~ ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_45_bot__nat__0_Oextremum__uniqueI]) ).
thf(zip_derived_cl8149,plain,
'#sk649' = zero_zero_nat,
inference('sup-',[status(thm)],[zip_derived_cl8146,zip_derived_cl77]) ).
thf(zip_derived_cl712_025,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl1995_026,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl1980]) ).
thf(zip_derived_cl2955,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ zero_zero_nat ) )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl1995]) ).
thf(zip_derived_cl22_027,plain,
! [X0: nat] :
( ( times_times_nat @ X0 @ zero_zero_nat )
= zero_zero_nat ),
inference(cnf,[status(esa)],[fact_14_mult__zero__right]) ).
thf(zip_derived_cl2975,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference(demod,[status(thm)],[zip_derived_cl2955,zip_derived_cl22]) ).
thf(zip_derived_cl2976,plain,
( ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' ) ),
inference(simplify,[status(thm)],[zip_derived_cl2975]) ).
thf(zip_derived_cl77_028,plain,
! [X0: nat] :
( ( X0 = zero_zero_nat )
| ~ ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_45_bot__nat__0_Oextremum__uniqueI]) ).
thf(zip_derived_cl3098,plain,
( ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( sk__17 = zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl2976,zip_derived_cl77]) ).
thf(zip_derived_cl77_029,plain,
! [X0: nat] :
( ( X0 = zero_zero_nat )
| ~ ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_45_bot__nat__0_Oextremum__uniqueI]) ).
thf(zip_derived_cl3124,plain,
( ( sk__17 = zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( sk__18 = zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl3098,zip_derived_cl77]) ).
thf(zip_derived_cl712_030,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl1994_031,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1979]) ).
thf(zip_derived_cl2417,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ zero_zero_nat ) )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl1994]) ).
thf(zip_derived_cl22_032,plain,
! [X0: nat] :
( ( times_times_nat @ X0 @ zero_zero_nat )
= zero_zero_nat ),
inference(cnf,[status(esa)],[fact_14_mult__zero__right]) ).
thf(zip_derived_cl2435,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference(demod,[status(thm)],[zip_derived_cl2417,zip_derived_cl22]) ).
thf(zip_derived_cl2436,plain,
( ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' ) ),
inference(simplify,[status(thm)],[zip_derived_cl2435]) ).
thf(zip_derived_cl3150,plain,
( ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat )
| ( sk__18 = zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference('sup+',[status(thm)],[zip_derived_cl3124,zip_derived_cl2436]) ).
thf(zip_derived_cl110_033,plain,
~ ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat ),
inference(cnf,[status(esa)],[fact_75_not__one__le__zero]) ).
thf(zip_derived_cl3159,plain,
( ( sk__18 = zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ sk__18 @ zero_zero_nat ) ),
inference(demod,[status(thm)],[zip_derived_cl3150,zip_derived_cl110]) ).
thf(zip_derived_cl3160,plain,
( ( ord_less_eq_nat @ sk__18 @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( sk__18 = zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl3159]) ).
thf(zip_derived_cl77_034,plain,
! [X0: nat] :
( ( X0 = zero_zero_nat )
| ~ ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_45_bot__nat__0_Oextremum__uniqueI]) ).
thf(zip_derived_cl3631,plain,
( ( sk__18 = zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' ) ),
inference(clc,[status(thm)],[zip_derived_cl3160,zip_derived_cl77]) ).
thf(zip_derived_cl3631_035,plain,
( ( sk__18 = zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' ) ),
inference(clc,[status(thm)],[zip_derived_cl3160,zip_derived_cl77]) ).
thf(zip_derived_cl712_036,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl2027_037,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl2015]) ).
thf(zip_derived_cl7481,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ zero_zero_nat ) )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl2027]) ).
thf(zip_derived_cl22_038,plain,
! [X0: nat] :
( ( times_times_nat @ X0 @ zero_zero_nat )
= zero_zero_nat ),
inference(cnf,[status(esa)],[fact_14_mult__zero__right]) ).
thf(zip_derived_cl7593,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl7481,zip_derived_cl22]) ).
thf(zip_derived_cl7594,plain,
( ( ord_less_eq_nat @ one_one_nat @ sk__18 )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' ) ),
inference(simplify,[status(thm)],[zip_derived_cl7593]) ).
thf(zip_derived_cl7767,plain,
( ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat ) ),
inference('sup+',[status(thm)],[zip_derived_cl3631,zip_derived_cl7594]) ).
thf(zip_derived_cl110_039,plain,
~ ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat ),
inference(cnf,[status(esa)],[fact_75_not__one__le__zero]) ).
thf(zip_derived_cl7784,plain,
( ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ sk__17 @ zero_zero_nat ) ),
inference(demod,[status(thm)],[zip_derived_cl7767,zip_derived_cl110]) ).
thf(zip_derived_cl7785,plain,
( ( ord_less_eq_nat @ sk__17 @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' ) ),
inference(simplify,[status(thm)],[zip_derived_cl7784]) ).
thf(zip_derived_cl77_040,plain,
! [X0: nat] :
( ( X0 = zero_zero_nat )
| ~ ( ord_less_eq_nat @ X0 @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_45_bot__nat__0_Oextremum__uniqueI]) ).
thf(zip_derived_cl7794,plain,
( ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( sk__17 = zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl7785,zip_derived_cl77]) ).
thf(zip_derived_cl712_041,plain,
! [X0: nat] :
( ( ( p @ X0 )
= zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl2026_042,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ ( p @ '#sk649' ) ) )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2014]) ).
thf(zip_derived_cl6983,plain,
( ( zero_zero_nat
!= ( times_times_nat @ '#sk649' @ zero_zero_nat ) )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl2026]) ).
thf(zip_derived_cl22_043,plain,
! [X0: nat] :
( ( times_times_nat @ X0 @ zero_zero_nat )
= zero_zero_nat ),
inference(cnf,[status(esa)],[fact_14_mult__zero__right]) ).
thf(zip_derived_cl7007,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl6983,zip_derived_cl22]) ).
thf(zip_derived_cl7008,plain,
( ( ord_less_eq_nat @ one_one_nat @ sk__18 )
| ( ord_less_eq_nat @ one_one_nat @ sk__17 )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' ) ),
inference(simplify,[status(thm)],[zip_derived_cl7007]) ).
thf(zip_derived_cl7842,plain,
( ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7794,zip_derived_cl7008]) ).
thf(zip_derived_cl110_044,plain,
~ ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat ),
inference(cnf,[status(esa)],[fact_75_not__one__le__zero]) ).
thf(zip_derived_cl7892,plain,
( ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl7842,zip_derived_cl110]) ).
thf(zip_derived_cl7893,plain,
( ( ord_less_eq_nat @ one_one_nat @ sk__18 )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' ) ),
inference(simplify,[status(thm)],[zip_derived_cl7892]) ).
thf(zip_derived_cl7941,plain,
( ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ '#sk649' ) ),
inference('sup+',[status(thm)],[zip_derived_cl3631,zip_derived_cl7893]) ).
thf(zip_derived_cl7956,plain,
( ( ord_less_eq_nat @ one_one_nat @ '#sk649' )
| ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl7941]) ).
thf(zip_derived_cl110_045,plain,
~ ( ord_less_eq_nat @ one_one_nat @ zero_zero_nat ),
inference(cnf,[status(esa)],[fact_75_not__one__le__zero]) ).
thf(zip_derived_cl7973,plain,
ord_less_eq_nat @ one_one_nat @ '#sk649',
inference(clc,[status(thm)],[zip_derived_cl7956,zip_derived_cl110]) ).
thf(zip_derived_cl8173,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl8149,zip_derived_cl7973]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ITP133^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HgqkEC0hyl true
% 0.15/0.37 % Computer : n013.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun Aug 27 13:41:02 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.23/0.37 % Python version: Python 3.6.8
% 0.23/0.38 % Running in HO mode
% 0.24/0.67 % Total configuration time : 828
% 0.24/0.67 % Estimated wc time : 1656
% 0.24/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.24/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.24/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.24/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.24/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.24/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.44/0.91 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 21.01/3.52 % Solved by lams/40_c_ic.sh.
% 21.01/3.52 % done 568 iterations in 2.692s
% 21.01/3.52 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 21.01/3.52 % SZS output start Refutation
% See solution above
% 21.01/3.53
% 21.01/3.53
% 21.01/3.53 % Terminating...
% 22.36/3.64 % Runner terminated.
% 22.36/3.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------