TSTP Solution File: NUM638^4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM638^4 : TPTP v8.1.2. Released v7.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LauQWUoiLh true
% Computer : n002.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 12:42:58 EDT 2023
% Result : Theorem 38.39s 5.54s
% Output : Refutation 38.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 61
% Syntax : Number of formulae : 117 ( 69 unt; 25 typ; 0 def)
% Number of atoms : 269 ( 110 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 381 ( 39 ~; 26 |; 0 &; 282 @)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 64 ( 64 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 7 con; 0-3 aty)
% Number of variables : 125 ( 96 ^; 29 !; 0 ?; 125 :)
% Comments :
%------------------------------------------------------------------------------
thf(n_1_type,type,
n_1: $i ).
thf(n_one_type,type,
n_one: ( $i > $o ) > $o ).
thf(sk__44_type,type,
sk__44: $i > $i ).
thf(one_type,type,
one: $i > ( $i > $o ) > $o ).
thf(nat_type,type,
nat: $i ).
thf(is_of_type,type,
is_of: $i > ( $i > $o ) > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(nis_type,type,
nis: $i > $i > $o ).
thf(non_type,type,
non: $i > ( $i > $o ) > $i > $o ).
thf(l_some_type,type,
l_some: $i > ( $i > $o ) > $o ).
thf('#_fresh_sk43_type',type,
'#_fresh_sk43': $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(n_is_type,type,
n_is: $i > $i > $o ).
thf(l_ec_type,type,
l_ec: $o > $o > $o ).
thf(imp_type,type,
imp: $o > $o > $o ).
thf(sk__45_type,type,
sk__45: $i ).
thf(sk__46_type,type,
sk__46: $i ).
thf(d_and_type,type,
d_and: $o > $o > $o ).
thf(all_of_type,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(n_some_type,type,
n_some: ( $i > $o ) > $o ).
thf(ordsucc_type,type,
ordsucc: $i > $i ).
thf(d_not_type,type,
d_not: $o > $o ).
thf(sk__47_type,type,
sk__47: $i ).
thf(amone_type,type,
amone: $i > ( $i > $o ) > $o ).
thf(e_is_type,type,
e_is: $i > $i > $i > $o ).
thf(def_n_one,axiom,
( n_one
= ( one @ nat ) ) ).
thf(def_one,axiom,
( one
= ( ^ [X0: $i,X1: $i > $o] : ( d_and @ ( amone @ X0 @ X1 ) @ ( l_some @ X0 @ X1 ) ) ) ) ).
thf(def_amone,axiom,
( amone
= ( ^ [X0: $i,X1: $i > $o] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ X0 )
@ ^ [X2: $i] :
( all_of
@ ^ [X3: $i] : ( in @ X3 @ X0 )
@ ^ [X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( e_is @ X0 @ X2 @ X3 ) ) ) ) ) ) ) ).
thf(def_e_is,axiom,
( e_is
= ( ^ [X0: $i,X: $i,Y: $i] : ( X = Y ) ) ) ).
thf('0',plain,
( e_is
= ( ^ [X0: $i,X: $i,Y: $i] : ( X = Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_e_is]) ).
thf('1',plain,
( e_is
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( V_2 = V_3 ) ) ),
define([status(thm)]) ).
thf(def_all_of,axiom,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ) ).
thf(def_is_of,axiom,
( is_of
= ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) ) ) ).
thf('2',plain,
( is_of
= ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_is_of]) ).
thf('3',plain,
( is_of
= ( ^ [V_1: $i,V_2: $i > $o] : ( V_2 @ V_1 ) ) ),
define([status(thm)]) ).
thf('4',plain,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_all_of,'3']) ).
thf('5',plain,
( all_of
= ( ^ [V_1: $i > $o,V_2: $i > $o] :
! [X4: $i] :
( ( is_of @ X4 @ V_1 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf('6',plain,
( amone
= ( ^ [X0: $i,X1: $i > $o] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ X0 )
@ ^ [X2: $i] :
( all_of
@ ^ [X3: $i] : ( in @ X3 @ X0 )
@ ^ [X3: $i] :
( ( X1 @ X2 )
=> ( ( X1 @ X3 )
=> ( e_is @ X0 @ X2 @ X3 ) ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_amone,'1','5','3']) ).
thf('7',plain,
( amone
= ( ^ [V_1: $i,V_2: $i > $o] :
( all_of
@ ^ [V_3: $i] : ( in @ V_3 @ V_1 )
@ ^ [V_4: $i] :
( all_of
@ ^ [V_5: $i] : ( in @ V_5 @ V_1 )
@ ^ [V_6: $i] :
( ( V_2 @ V_4 )
=> ( ( V_2 @ V_6 )
=> ( e_is @ V_1 @ V_4 @ V_6 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(def_l_some,axiom,
( l_some
= ( ^ [X0: $i,X1: $i > $o] :
( d_not
@ ( all_of
@ ^ [X2: $i] : ( in @ X2 @ X0 )
@ ( non @ X0 @ X1 ) ) ) ) ) ).
thf(def_non,axiom,
( non
= ( ^ [X0: $i,X1: $i > $o,X2: $i] : ( d_not @ ( X1 @ X2 ) ) ) ) ).
thf(def_d_not,axiom,
( d_not
= ( ^ [X0: $o] : ( imp @ X0 @ $false ) ) ) ).
thf(def_imp,axiom,
( imp
= ( ^ [X0: $o,X1: $o] :
( X0
=> X1 ) ) ) ).
thf('8',plain,
( imp
= ( ^ [X0: $o,X1: $o] :
( X0
=> X1 ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_imp]) ).
thf('9',plain,
( imp
= ( ^ [V_1: $o,V_2: $o] :
( V_1
=> V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( d_not
= ( ^ [X0: $o] : ( imp @ X0 @ $false ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_d_not,'9']) ).
thf('11',plain,
( d_not
= ( ^ [V_1: $o] : ( imp @ V_1 @ $false ) ) ),
define([status(thm)]) ).
thf('12',plain,
( non
= ( ^ [X0: $i,X1: $i > $o,X2: $i] : ( d_not @ ( X1 @ X2 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_non,'11','9']) ).
thf('13',plain,
( non
= ( ^ [V_1: $i,V_2: $i > $o,V_3: $i] : ( d_not @ ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf('14',plain,
( l_some
= ( ^ [X0: $i,X1: $i > $o] :
( d_not
@ ( all_of
@ ^ [X2: $i] : ( in @ X2 @ X0 )
@ ( non @ X0 @ X1 ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_l_some,'13','11','9','5','3']) ).
thf('15',plain,
( l_some
= ( ^ [V_1: $i,V_2: $i > $o] :
( d_not
@ ( all_of
@ ^ [V_3: $i] : ( in @ V_3 @ V_1 )
@ ( non @ V_1 @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(def_d_and,axiom,
( d_and
= ( ^ [X0: $o,X1: $o] : ( d_not @ ( l_ec @ X0 @ X1 ) ) ) ) ).
thf(def_l_ec,axiom,
( l_ec
= ( ^ [X0: $o,X1: $o] : ( imp @ X0 @ ( d_not @ X1 ) ) ) ) ).
thf('16',plain,
( l_ec
= ( ^ [X0: $o,X1: $o] : ( imp @ X0 @ ( d_not @ X1 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_l_ec,'11','9']) ).
thf('17',plain,
( l_ec
= ( ^ [V_1: $o,V_2: $o] : ( imp @ V_1 @ ( d_not @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('18',plain,
( d_and
= ( ^ [X0: $o,X1: $o] : ( d_not @ ( l_ec @ X0 @ X1 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_d_and,'17','11','9']) ).
thf('19',plain,
( d_and
= ( ^ [V_1: $o,V_2: $o] : ( d_not @ ( l_ec @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('20',plain,
( one
= ( ^ [X0: $i,X1: $i > $o] : ( d_and @ ( amone @ X0 @ X1 ) @ ( l_some @ X0 @ X1 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_one,'7','1','15','13','19','17','11','9','5','3']) ).
thf('21',plain,
( one
= ( ^ [V_1: $i,V_2: $i > $o] : ( d_and @ ( amone @ V_1 @ V_2 ) @ ( l_some @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('22',plain,
( n_one
= ( one @ nat ) ),
inference(simplify_rw_rule,[status(thm)],[def_n_one,'21','7','1','15','13','19','17','11','9','5','3']) ).
thf('23',plain,
( n_one
= ( one @ nat ) ),
define([status(thm)]) ).
thf(def_nis,axiom,
( nis
= ( ^ [X0: $i,X1: $i] : ( d_not @ ( n_is @ X0 @ X1 ) ) ) ) ).
thf(def_n_is,axiom,
( n_is
= ( e_is @ nat ) ) ).
thf('24',plain,
( n_is
= ( e_is @ nat ) ),
inference(simplify_rw_rule,[status(thm)],[def_n_is,'1']) ).
thf('25',plain,
( n_is
= ( e_is @ nat ) ),
define([status(thm)]) ).
thf('26',plain,
( nis
= ( ^ [X0: $i,X1: $i] : ( d_not @ ( n_is @ X0 @ X1 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_nis,'25','1','11']) ).
thf('27',plain,
( nis
= ( ^ [V_1: $i,V_2: $i] : ( d_not @ ( n_is @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(satz3a,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( ( nis @ X0 @ n_1 )
=> ( n_one
@ ^ [X1: $i] : ( n_is @ X0 @ ( ordsucc @ X1 ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ( in @ X4 @ nat )
=> ( ( X4 != n_1 )
=> ~ ( ! [X6: $i] :
( ( in @ X6 @ nat )
=> ! [X8: $i] :
( ( in @ X8 @ nat )
=> ( ( X4
= ( ordsucc @ X6 ) )
=> ( ( X4
= ( ordsucc @ X8 ) )
=> ( X6 = X8 ) ) ) ) )
=> ! [X10: $i] :
( ( in @ X10 @ nat )
=> ( X4
!= ( ordsucc @ X10 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ( in @ X4 @ nat )
=> ( ( X4 != n_1 )
=> ~ ( ! [X6: $i] :
( ( in @ X6 @ nat )
=> ! [X8: $i] :
( ( in @ X8 @ nat )
=> ( ( X4
= ( ordsucc @ X6 ) )
=> ( ( X4
= ( ordsucc @ X8 ) )
=> ( X6 = X8 ) ) ) ) )
=> ! [X10: $i] :
( ( in @ X10 @ nat )
=> ( X4
!= ( ordsucc @ X10 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187,plain,
in @ sk__45 @ nat,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(def_n_some,axiom,
( n_some
= ( l_some @ nat ) ) ).
thf('28',plain,
( n_some
= ( l_some @ nat ) ),
inference(simplify_rw_rule,[status(thm)],[def_n_some,'15','13','11','9','5','3']) ).
thf('29',plain,
( n_some
= ( l_some @ nat ) ),
define([status(thm)]) ).
thf(satz3,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( ( nis @ X0 @ n_1 )
=> ( n_some
@ ^ [X1: $i] : ( n_is @ X0 @ ( ordsucc @ X1 ) ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
( ( in @ X4 @ nat )
=> ( ( X4 != n_1 )
=> ~ ! [X6: $i] :
( ( in @ X6 @ nat )
=> ( X4
!= ( ordsucc @ X6 ) ) ) ) ) ).
thf(zip_derived_cl185,plain,
! [X0: $i] :
( ( X0 = n_1 )
| ( in @ ( sk__44 @ X0 ) @ nat )
| ~ ( in @ X0 @ nat ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(def_n_1,axiom,
( n_1
= ( ordsucc @ emptyset ) ) ).
thf(zip_derived_cl175,plain,
( n_1
= ( ordsucc @ emptyset ) ),
inference(cnf,[status(esa)],[def_n_1]) ).
thf(zip_derived_cl3214,plain,
! [X0: $i] :
( ( X0
= ( ordsucc @ emptyset ) )
| ( in @ ( sk__44 @ X0 ) @ nat )
| ~ ( in @ X0 @ nat ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl175]) ).
thf(zip_derived_cl3224,plain,
( ( in @ ( sk__44 @ sk__45 ) @ nat )
| ( sk__45
= ( ordsucc @ emptyset ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl3214]) ).
thf(zip_derived_cl193,plain,
sk__45 != n_1,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl175_001,plain,
( n_1
= ( ordsucc @ emptyset ) ),
inference(cnf,[status(esa)],[def_n_1]) ).
thf(zip_derived_cl205,plain,
( sk__45
!= ( ordsucc @ emptyset ) ),
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl175]) ).
thf(zip_derived_cl3235,plain,
in @ ( sk__44 @ sk__45 ) @ nat,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3224,zip_derived_cl205]) ).
thf(zip_derived_cl190,plain,
! [X0: $i] :
( ~ ( in @ X0 @ nat )
| ( sk__45
!= ( ordsucc @ X0 ) )
| ( sk__46 != sk__47 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3235_002,plain,
in @ ( sk__44 @ sk__45 ) @ nat,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3224,zip_derived_cl205]) ).
thf(zip_derived_cl191,plain,
! [X0: $i] :
( ~ ( in @ X0 @ nat )
| ( sk__45
!= ( ordsucc @ X0 ) )
| ( sk__45
= ( ordsucc @ sk__47 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3247,plain,
( ( sk__45
= ( ordsucc @ sk__47 ) )
| ( sk__45
!= ( ordsucc @ ( sk__44 @ sk__45 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3235,zip_derived_cl191]) ).
thf(zip_derived_cl187_003,plain,
in @ sk__45 @ nat,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ( X0 = n_1 )
| ( X0
= ( ordsucc @ ( sk__44 @ X0 ) ) )
| ~ ( in @ X0 @ nat ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl175_004,plain,
( n_1
= ( ordsucc @ emptyset ) ),
inference(cnf,[status(esa)],[def_n_1]) ).
thf(zip_derived_cl10386,plain,
! [X0: $i] :
( ( X0
= ( ordsucc @ emptyset ) )
| ( X0
= ( ordsucc @ ( sk__44 @ X0 ) ) )
| ~ ( in @ X0 @ nat ) ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl175]) ).
thf(zip_derived_cl10394,plain,
( ( sk__45
= ( ordsucc @ ( sk__44 @ sk__45 ) ) )
| ( sk__45
= ( ordsucc @ emptyset ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl10386]) ).
thf(zip_derived_cl205_005,plain,
( sk__45
!= ( ordsucc @ emptyset ) ),
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl175]) ).
thf(zip_derived_cl10406,plain,
( sk__45
= ( ordsucc @ ( sk__44 @ sk__45 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10394,zip_derived_cl205]) ).
thf(zip_derived_cl10525,plain,
( ( sk__45
= ( ordsucc @ sk__47 ) )
| ( sk__45 != sk__45 ) ),
inference(demod,[status(thm)],[zip_derived_cl3247,zip_derived_cl10406]) ).
thf(zip_derived_cl10526,plain,
( sk__45
= ( ordsucc @ sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10525]) ).
thf(ordsucc_inj,axiom,
! [X0: $i,X1: $i] :
( ( ( ordsucc @ X0 )
= ( ordsucc @ X1 ) )
=> ( X0 = X1 ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( ordsucc @ X1 )
!= ( ordsucc @ X0 ) ) ),
inference(cnf,[status(esa)],[ordsucc_inj]) ).
thf(zip_derived_cl410,plain,
! [X1: $i] :
( ( '#_fresh_sk43' @ ( ordsucc @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl10870,plain,
( ( '#_fresh_sk43' @ sk__45 )
= sk__47 ),
inference('sup+',[status(thm)],[zip_derived_cl10526,zip_derived_cl410]) ).
thf(zip_derived_cl11090,plain,
! [X0: $i] :
( ~ ( in @ X0 @ nat )
| ( sk__45
!= ( ordsucc @ X0 ) )
| ( sk__46
!= ( '#_fresh_sk43' @ sk__45 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl10870]) ).
thf(zip_derived_cl3235_006,plain,
in @ ( sk__44 @ sk__45 ) @ nat,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3224,zip_derived_cl205]) ).
thf(zip_derived_cl189,plain,
! [X0: $i] :
( ~ ( in @ X0 @ nat )
| ( sk__45
!= ( ordsucc @ X0 ) )
| ( sk__45
= ( ordsucc @ sk__46 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3248,plain,
( ( sk__45
= ( ordsucc @ sk__46 ) )
| ( sk__45
!= ( ordsucc @ ( sk__44 @ sk__45 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3235,zip_derived_cl189]) ).
thf(zip_derived_cl10406_007,plain,
( sk__45
= ( ordsucc @ ( sk__44 @ sk__45 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10394,zip_derived_cl205]) ).
thf(zip_derived_cl10527,plain,
( ( sk__45
= ( ordsucc @ sk__46 ) )
| ( sk__45 != sk__45 ) ),
inference(demod,[status(thm)],[zip_derived_cl3248,zip_derived_cl10406]) ).
thf(zip_derived_cl10528,plain,
( sk__45
= ( ordsucc @ sk__46 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10527]) ).
thf(zip_derived_cl410_008,plain,
! [X1: $i] :
( ( '#_fresh_sk43' @ ( ordsucc @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl10958,plain,
( ( '#_fresh_sk43' @ sk__45 )
= sk__46 ),
inference('sup+',[status(thm)],[zip_derived_cl10528,zip_derived_cl410]) ).
thf(zip_derived_cl11163,plain,
! [X0: $i] :
( ~ ( in @ X0 @ nat )
| ( sk__45
!= ( ordsucc @ X0 ) )
| ( ( '#_fresh_sk43' @ sk__45 )
!= ( '#_fresh_sk43' @ sk__45 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11090,zip_derived_cl10958]) ).
thf(zip_derived_cl11164,plain,
! [X0: $i] :
( ( sk__45
!= ( ordsucc @ X0 ) )
| ~ ( in @ X0 @ nat ) ),
inference(simplify,[status(thm)],[zip_derived_cl11163]) ).
thf(zip_derived_cl11172,plain,
( sk__45
!= ( ordsucc @ ( sk__44 @ sk__45 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3235,zip_derived_cl11164]) ).
thf(zip_derived_cl10406_009,plain,
( sk__45
= ( ordsucc @ ( sk__44 @ sk__45 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10394,zip_derived_cl205]) ).
thf(zip_derived_cl11187,plain,
sk__45 != sk__45,
inference(demod,[status(thm)],[zip_derived_cl11172,zip_derived_cl10406]) ).
thf(zip_derived_cl11188,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl11187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM638^4 : TPTP v8.1.2. Released v7.1.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LauQWUoiLh true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 16:54:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in HO mode
% 0.20/0.66 % Total configuration time : 828
% 0.20/0.66 % Estimated wc time : 1656
% 0.20/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.29/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.41/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.41/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.41/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 38.39/5.54 % Solved by lams/40_noforms.sh.
% 38.39/5.54 % done 815 iterations in 4.739s
% 38.39/5.54 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 38.39/5.54 % SZS output start Refutation
% See solution above
% 38.39/5.54
% 38.39/5.54
% 38.39/5.54 % Terminating...
% 39.00/5.69 % Runner terminated.
% 39.00/5.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------