TSTP Solution File: NUM681^4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM681^4 : 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.gZyAYV39OK true
% Computer : n018.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 12:43:23 EDT 2023
% Result : Theorem 48.55s 6.86s
% Output : Refutation 48.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 33
% Syntax : Number of formulae : 88 ( 39 unt; 13 typ; 0 def)
% Number of atoms : 253 ( 90 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 617 ( 65 ~; 38 |; 0 &; 426 @)
% ( 0 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 6 con; 0-3 aty)
% ( 22 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 118 ( 74 ^; 44 !; 0 ?; 118 :)
% Comments :
%------------------------------------------------------------------------------
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(n_is_type,type,
n_is: $i > $i > $o ).
thf(imp_type,type,
imp: $o > $o > $o ).
thf('#sk5884_type',type,
'#sk5884': $i ).
thf(all_of_type,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf('#sk5883_type',type,
'#sk5883': $i ).
thf(d_not_type,type,
d_not: $o > $o ).
thf('#sk5885_type',type,
'#sk5885': $i ).
thf(e_is_type,type,
e_is: $i > $i > $i > $o ).
thf(n_pl_type,type,
n_pl: $i > $i > $i ).
thf(def_n_is,axiom,
( n_is
= ( e_is @ nat ) ) ).
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('2',plain,
( n_is
= ( e_is @ nat ) ),
inference(simplify_rw_rule,[status(thm)],[def_n_is,'1']) ).
thf('3',plain,
( n_is
= ( e_is @ nat ) ),
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('4',plain,
( is_of
= ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_is_of]) ).
thf('5',plain,
( is_of
= ( ^ [V_1: $i,V_2: $i > $o] : ( V_2 @ V_1 ) ) ),
define([status(thm)]) ).
thf('6',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,'5']) ).
thf('7',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(satz20b,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X2: $i] :
( ( n_is @ ( n_pl @ X0 @ X2 ) @ ( n_pl @ X1 @ X2 ) )
=> ( n_is @ X0 @ X1 ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ( in @ X4 @ nat )
=> ! [X6: $i] :
( ( in @ X6 @ nat )
=> ! [X8: $i] :
( ( in @ X8 @ nat )
=> ( ( ( n_pl @ X4 @ X8 )
= ( n_pl @ X6 @ X8 ) )
=> ( X4 = X6 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ( in @ X4 @ nat )
=> ! [X6: $i] :
( ( in @ X6 @ nat )
=> ! [X8: $i] :
( ( in @ X8 @ nat )
=> ( ( ( n_pl @ X4 @ X8 )
= ( n_pl @ X6 @ X8 ) )
=> ( X4 = X6 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl180,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( ( n_pl @ Y0 @ Y2 )
= ( n_pl @ Y1 @ Y2 ) )
=> ( Y0 = Y1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4089,plain,
~ ( ( in @ '#sk5883' @ nat )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( n_pl @ '#sk5883' @ Y1 )
= ( n_pl @ Y0 @ Y1 ) )
=> ( '#sk5883' = Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl4091,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( ( n_pl @ '#sk5883' @ Y1 )
= ( n_pl @ Y0 @ Y1 ) )
=> ( '#sk5883' = Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4089]) ).
thf(zip_derived_cl4092,plain,
~ ( ( in @ '#sk5884' @ nat )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( n_pl @ '#sk5883' @ Y0 )
= ( n_pl @ '#sk5884' @ Y0 ) )
=> ( '#sk5883' = '#sk5884' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4091]) ).
thf(zip_derived_cl4094,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( ( n_pl @ '#sk5883' @ Y0 )
= ( n_pl @ '#sk5884' @ Y0 ) )
=> ( '#sk5883' = '#sk5884' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4092]) ).
thf(zip_derived_cl4095,plain,
~ ( ( in @ '#sk5885' @ nat )
=> ( ( ( n_pl @ '#sk5883' @ '#sk5885' )
= ( n_pl @ '#sk5884' @ '#sk5885' ) )
=> ( '#sk5883' = '#sk5884' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4094]) ).
thf(zip_derived_cl4097,plain,
~ ( ( ( n_pl @ '#sk5883' @ '#sk5885' )
= ( n_pl @ '#sk5884' @ '#sk5885' ) )
=> ( '#sk5883' = '#sk5884' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4095]) ).
thf(zip_derived_cl4098,plain,
( ( n_pl @ '#sk5883' @ '#sk5885' )
= ( n_pl @ '#sk5884' @ '#sk5885' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4097]) ).
thf(zip_derived_cl4100,plain,
( ( n_pl @ '#sk5883' @ '#sk5885' )
= ( n_pl @ '#sk5884' @ '#sk5885' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4098]) ).
thf(satz6,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] : ( n_is @ ( n_pl @ X0 @ X1 ) @ ( n_pl @ X1 @ X0 ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
( ( in @ X4 @ nat )
=> ! [X6: $i] :
( ( in @ X6 @ nat )
=> ( ( n_pl @ X4 @ X6 )
= ( n_pl @ X6 @ X4 ) ) ) ) ).
thf(zip_derived_cl132,plain,
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( n_pl @ Y0 @ Y1 )
= ( n_pl @ Y1 @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1729,plain,
! [X2: $i] :
( ( in @ X2 @ nat )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ X2 @ Y0 )
= ( n_pl @ Y0 @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl1730,plain,
! [X2: $i] :
( ~ ( in @ X2 @ nat )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ X2 @ Y0 )
= ( n_pl @ Y0 @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1729]) ).
thf(zip_derived_cl1731,plain,
! [X2: $i,X4: $i] :
( ( ( in @ X4 @ nat )
=> ( ( n_pl @ X2 @ X4 )
= ( n_pl @ X4 @ X2 ) ) )
| ~ ( in @ X2 @ nat ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1730]) ).
thf(zip_derived_cl1732,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ nat )
| ( ( n_pl @ X2 @ X4 )
= ( n_pl @ X4 @ X2 ) )
| ~ ( in @ X2 @ nat ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1731]) ).
thf(zip_derived_cl1733,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ nat )
| ( ( n_pl @ X2 @ X4 )
= ( n_pl @ X4 @ X2 ) )
| ~ ( in @ X2 @ nat ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1732]) ).
thf(zip_derived_cl4242,plain,
( ( ( n_pl @ '#sk5885' @ '#sk5883' )
= ( n_pl @ '#sk5884' @ '#sk5885' ) )
| ~ ( in @ '#sk5885' @ nat )
| ~ ( in @ '#sk5883' @ nat ) ),
inference('sup+',[status(thm)],[zip_derived_cl4100,zip_derived_cl1733]) ).
thf(zip_derived_cl4096,plain,
in @ '#sk5885' @ nat,
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4095]) ).
thf(zip_derived_cl4090,plain,
in @ '#sk5883' @ nat,
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4089]) ).
thf(zip_derived_cl4292,plain,
( ( n_pl @ '#sk5885' @ '#sk5883' )
= ( n_pl @ '#sk5884' @ '#sk5885' ) ),
inference(demod,[status(thm)],[zip_derived_cl4242,zip_derived_cl4096,zip_derived_cl4090]) ).
thf(zip_derived_cl4100_001,plain,
( ( n_pl @ '#sk5883' @ '#sk5885' )
= ( n_pl @ '#sk5884' @ '#sk5885' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4098]) ).
thf(zip_derived_cl1733_002,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ nat )
| ( ( n_pl @ X2 @ X4 )
= ( n_pl @ X4 @ X2 ) )
| ~ ( in @ X2 @ nat ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1732]) ).
thf(zip_derived_cl4246,plain,
( ( ( n_pl @ '#sk5885' @ '#sk5884' )
= ( n_pl @ '#sk5883' @ '#sk5885' ) )
| ~ ( in @ '#sk5885' @ nat )
| ~ ( in @ '#sk5884' @ nat ) ),
inference('sup+',[status(thm)],[zip_derived_cl4100,zip_derived_cl1733]) ).
thf(zip_derived_cl4096_003,plain,
in @ '#sk5885' @ nat,
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4095]) ).
thf(zip_derived_cl4093,plain,
in @ '#sk5884' @ nat,
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4092]) ).
thf(zip_derived_cl4297,plain,
( ( n_pl @ '#sk5885' @ '#sk5884' )
= ( n_pl @ '#sk5883' @ '#sk5885' ) ),
inference(demod,[status(thm)],[zip_derived_cl4246,zip_derived_cl4096,zip_derived_cl4093]) ).
thf(zip_derived_cl4100_004,plain,
( ( n_pl @ '#sk5883' @ '#sk5885' )
= ( n_pl @ '#sk5884' @ '#sk5885' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4098]) ).
thf(zip_derived_cl4397,plain,
( ( n_pl @ '#sk5885' @ '#sk5884' )
= ( n_pl @ '#sk5884' @ '#sk5885' ) ),
inference('sup+',[status(thm)],[zip_derived_cl4297,zip_derived_cl4100]) ).
thf(def_nis,axiom,
( nis
= ( ^ [X0: $i,X1: $i] : ( d_not @ ( n_is @ X0 @ X1 ) ) ) ) ).
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,
( nis
= ( ^ [X0: $i,X1: $i] : ( d_not @ ( n_is @ X0 @ X1 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_nis,'3','1','11']) ).
thf('13',plain,
( nis
= ( ^ [V_1: $i,V_2: $i] : ( d_not @ ( n_is @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(satz8,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X2: $i] : ( in @ X2 @ nat )
@ ^ [X2: $i] :
( ( nis @ X1 @ X2 )
=> ( nis @ ( n_pl @ X0 @ X1 ) @ ( n_pl @ X0 @ X2 ) ) ) ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i] :
( ( in @ X4 @ nat )
=> ! [X6: $i] :
( ( in @ X6 @ nat )
=> ! [X8: $i] :
( ( in @ X8 @ nat )
=> ( ( X6 != X8 )
=> ( ( n_pl @ X4 @ X6 )
!= ( n_pl @ X4 @ X8 ) ) ) ) ) ) ).
thf(zip_derived_cl134,plain,
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ nat )
=> ( ( Y1 != Y2 )
=> ( ( n_pl @ Y0 @ Y1 )
!= ( n_pl @ Y0 @ Y2 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl5155,plain,
! [X2: $i] :
( ( in @ X2 @ nat )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( Y0 != Y1 )
=> ( ( n_pl @ X2 @ Y0 )
!= ( n_pl @ X2 @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl5156,plain,
! [X2: $i] :
( ~ ( in @ X2 @ nat )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( ( Y0 != Y1 )
=> ( ( n_pl @ X2 @ Y0 )
!= ( n_pl @ X2 @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5155]) ).
thf(zip_derived_cl5157,plain,
! [X2: $i,X4: $i] :
( ( ( in @ X4 @ nat )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X4 != Y0 )
=> ( ( n_pl @ X2 @ X4 )
!= ( n_pl @ X2 @ Y0 ) ) ) ) ) )
| ~ ( in @ X2 @ nat ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5156]) ).
thf(zip_derived_cl5158,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ nat )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( X4 != Y0 )
=> ( ( n_pl @ X2 @ X4 )
!= ( n_pl @ X2 @ Y0 ) ) ) ) )
| ~ ( in @ X2 @ nat ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5157]) ).
thf(zip_derived_cl5159,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( in @ X6 @ nat )
=> ( ( X4 != X6 )
=> ( ( n_pl @ X2 @ X4 )
!= ( n_pl @ X2 @ X6 ) ) ) )
| ~ ( in @ X2 @ nat )
| ~ ( in @ X4 @ nat ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5158]) ).
thf(zip_derived_cl5160,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ nat )
| ( ( X4 != X6 )
=> ( ( n_pl @ X2 @ X4 )
!= ( n_pl @ X2 @ X6 ) ) )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X2 @ nat ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5159]) ).
thf(zip_derived_cl5161,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X4 != X6 )
| ( ( n_pl @ X2 @ X4 )
!= ( n_pl @ X2 @ X6 ) )
| ~ ( in @ X2 @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X6 @ nat ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5160]) ).
thf(zip_derived_cl5162,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X4 = X6 )
| ( ( n_pl @ X2 @ X4 )
!= ( n_pl @ X2 @ X6 ) )
| ~ ( in @ X2 @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X6 @ nat ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl5161]) ).
thf(zip_derived_cl5163,plain,
! [X0: $i] :
( ( ( n_pl @ '#sk5885' @ X0 )
!= ( n_pl @ '#sk5884' @ '#sk5885' ) )
| ~ ( in @ '#sk5884' @ nat )
| ~ ( in @ X0 @ nat )
| ~ ( in @ '#sk5885' @ nat )
| ( X0 = '#sk5884' ) ),
inference('sup-',[status(thm)],[zip_derived_cl4397,zip_derived_cl5162]) ).
thf(zip_derived_cl4093_005,plain,
in @ '#sk5884' @ nat,
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4092]) ).
thf(zip_derived_cl4096_006,plain,
in @ '#sk5885' @ nat,
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4095]) ).
thf(zip_derived_cl5233,plain,
! [X0: $i] :
( ( ( n_pl @ '#sk5885' @ X0 )
!= ( n_pl @ '#sk5884' @ '#sk5885' ) )
| ~ ( in @ X0 @ nat )
| ( X0 = '#sk5884' ) ),
inference(demod,[status(thm)],[zip_derived_cl5163,zip_derived_cl4093,zip_derived_cl4096]) ).
thf(zip_derived_cl6923,plain,
( ( ( n_pl @ '#sk5884' @ '#sk5885' )
!= ( n_pl @ '#sk5884' @ '#sk5885' ) )
| ( '#sk5883' = '#sk5884' )
| ~ ( in @ '#sk5883' @ nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl4292,zip_derived_cl5233]) ).
thf(zip_derived_cl4090_007,plain,
in @ '#sk5883' @ nat,
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4089]) ).
thf(zip_derived_cl6955,plain,
( ( ( n_pl @ '#sk5884' @ '#sk5885' )
!= ( n_pl @ '#sk5884' @ '#sk5885' ) )
| ( '#sk5883' = '#sk5884' ) ),
inference(demod,[status(thm)],[zip_derived_cl6923,zip_derived_cl4090]) ).
thf(zip_derived_cl6956,plain,
'#sk5883' = '#sk5884',
inference(simplify,[status(thm)],[zip_derived_cl6955]) ).
thf(zip_derived_cl4099,plain,
'#sk5883' != '#sk5884',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4097]) ).
thf(zip_derived_cl4101,plain,
'#sk5883' != '#sk5884',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4099]) ).
thf(zip_derived_cl6957,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6956,zip_derived_cl4101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM681^4 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gZyAYV39OK true
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 08:54:44 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.34 % Number of cores: 8
% 0.20/0.34 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.20/0.65 % Total configuration time : 828
% 0.20/0.65 % Estimated wc time : 1656
% 0.20/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 9.76/1.89 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 48.55/6.86 % Solved by lams/35_full_unif4.sh.
% 48.55/6.86 % done 908 iterations in 6.083s
% 48.55/6.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 48.55/6.86 % SZS output start Refutation
% See solution above
% 48.55/6.86
% 48.55/6.86
% 48.55/6.86 % Terminating...
% 49.29/6.99 % Runner terminated.
% 49.29/7.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------