TSTP Solution File: NUM694^4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM694^4 : TPTP v8.1.2. Released v7.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Wruck5laIC true
% Computer : n010.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 12:43:31 EDT 2023
% Result : Theorem 65.19s 8.98s
% Output : Refutation 65.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 59
% Syntax : Number of formulae : 123 ( 58 unt; 23 typ; 0 def)
% Number of atoms : 315 ( 119 equ; 3 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 521 ( 72 ~; 30 |; 0 &; 334 @)
% ( 0 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 59 ( 59 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 23 usr; 8 con; 0-3 aty)
% ( 29 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 146 ( 113 ^; 33 !; 0 ?; 146 :)
% Comments :
%------------------------------------------------------------------------------
thf(n_1_type,type,
n_1: $i ).
thf(nat_type,type,
nat: $i ).
thf(lessis_type,type,
lessis: $i > $i > $o ).
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(emptyset_type,type,
emptyset: $i ).
thf(n_is_type,type,
n_is: $i > $i > $o ).
thf(imp_type,type,
imp: $o > $o > $o ).
thf('#sk6395_type',type,
'#sk6395': $i ).
thf(all_of_type,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(diffprop_type,type,
diffprop: $i > $i > $i > $o ).
thf(n_some_type,type,
n_some: ( $i > $o ) > $o ).
thf(l_or_type,type,
l_or: $o > $o > $o ).
thf(ordsucc_type,type,
ordsucc: $i > $i ).
thf(d_not_type,type,
d_not: $o > $o ).
thf('#sk4661_type',type,
'#sk4661': $i > $i ).
thf('#sk967_type',type,
'#sk967': $i ).
thf(iii_type,type,
iii: $i > $i > $o ).
thf(e_is_type,type,
e_is: $i > $i > $i > $o ).
thf(n_pl_type,type,
n_pl: $i > $i > $i ).
thf(def_lessis,axiom,
( lessis
= ( ^ [X0: $i,X1: $i] : ( l_or @ ( iii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) ) ) ) ).
thf(def_iii,axiom,
( iii
= ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X1 @ X0 ) ) ) ) ).
thf(def_diffprop,axiom,
( diffprop
= ( ^ [X0: $i,X1: $i,X2: $i] : ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) ) ) ) ).
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('4',plain,
( diffprop
= ( ^ [X0: $i,X1: $i,X2: $i] : ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_diffprop,'3','1']) ).
thf('5',plain,
( diffprop
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( n_is @ V_1 @ ( n_pl @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(def_n_some,axiom,
( n_some
= ( l_some @ nat ) ) ).
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('6',plain,
( imp
= ( ^ [X0: $o,X1: $o] :
( X0
=> X1 ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_imp]) ).
thf('7',plain,
( imp
= ( ^ [V_1: $o,V_2: $o] :
( V_1
=> V_2 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( d_not
= ( ^ [X0: $o] : ( imp @ X0 @ $false ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_d_not,'7']) ).
thf('9',plain,
( d_not
= ( ^ [V_1: $o] : ( imp @ V_1 @ $false ) ) ),
define([status(thm)]) ).
thf('10',plain,
( non
= ( ^ [X0: $i,X1: $i > $o,X2: $i] : ( d_not @ ( X1 @ X2 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_non,'9','7']) ).
thf('11',plain,
( non
= ( ^ [V_1: $i,V_2: $i > $o,V_3: $i] : ( d_not @ ( 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('12',plain,
( is_of
= ( ^ [X0: $i,X1: $i > $o] : ( X1 @ X0 ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_is_of]) ).
thf('13',plain,
( is_of
= ( ^ [V_1: $i,V_2: $i > $o] : ( V_2 @ V_1 ) ) ),
define([status(thm)]) ).
thf('14',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,'13']) ).
thf('15',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('16',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,'11','9','7','15','13']) ).
thf('17',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('18',plain,
( n_some
= ( l_some @ nat ) ),
inference(simplify_rw_rule,[status(thm)],[def_n_some,'17','11','9','7','15','13']) ).
thf('19',plain,
( n_some
= ( l_some @ nat ) ),
define([status(thm)]) ).
thf('20',plain,
( iii
= ( ^ [X0: $i,X1: $i] : ( n_some @ ( diffprop @ X1 @ X0 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_iii,'5','19','3','1','17','11','9','7','15','13']) ).
thf('21',plain,
( iii
= ( ^ [V_1: $i,V_2: $i] : ( n_some @ ( diffprop @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(def_l_or,axiom,
( l_or
= ( ^ [X0: $o] : ( imp @ ( d_not @ X0 ) ) ) ) ).
thf('22',plain,
( l_or
= ( ^ [X0: $o] : ( imp @ ( d_not @ X0 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_l_or,'9','7']) ).
thf('23',plain,
( l_or
= ( ^ [V_1: $o] : ( imp @ ( d_not @ V_1 ) ) ) ),
define([status(thm)]) ).
thf('24',plain,
( lessis
= ( ^ [X0: $i,X1: $i] : ( l_or @ ( iii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_lessis,'21','5','19','3','1','17','11','23','9','7','15','13']) ).
thf('25',plain,
( lessis
= ( ^ [V_1: $i,V_2: $i] : ( l_or @ ( iii @ V_1 @ V_2 ) @ ( n_is @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(satz24a,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ( lessis @ n_1 ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ( in @ X4 @ nat )
=> ( ! [X6: $i] :
( ( in @ X6 @ nat )
=> ( X4
!= ( n_pl @ n_1 @ X6 ) ) )
=> ( n_1 = X4 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ( in @ X4 @ nat )
=> ( ! [X6: $i] :
( ( in @ X6 @ nat )
=> ( X4
!= ( n_pl @ n_1 @ X6 ) ) )
=> ( n_1 = X4 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( Y0
!= ( n_pl @ n_1 @ Y1 ) ) ) )
=> ( n_1 = Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1224,plain,
~ ( ( in @ '#sk967' @ nat )
=> ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( '#sk967'
!= ( n_pl @ n_1 @ Y0 ) ) ) )
=> ( n_1 = '#sk967' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl194]) ).
thf(zip_derived_cl1225,plain,
in @ '#sk967' @ nat,
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1224]) ).
thf(def_nis,axiom,
( nis
= ( ^ [X0: $i,X1: $i] : ( d_not @ ( n_is @ X0 @ X1 ) ) ) ) ).
thf('26',plain,
( nis
= ( ^ [X0: $i,X1: $i] : ( d_not @ ( n_is @ X0 @ X1 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_nis,'3','1','9']) ).
thf('27',plain,
( nis
= ( ^ [V_1: $i,V_2: $i] : ( d_not @ ( n_is @ V_1 @ V_2 ) ) ) ),
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_cl117,plain,
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( Y0 != n_1 )
=> ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ nat )
=> ( Y0
!= ( ordsucc @ Y1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl3605,plain,
! [X2: $i] :
( ( in @ X2 @ nat )
=> ( ( X2 != n_1 )
=> ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( X2
!= ( ordsucc @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl3606,plain,
! [X2: $i] :
( ~ ( in @ X2 @ nat )
| ( ( X2 != n_1 )
=> ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( X2
!= ( ordsucc @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3605]) ).
thf(zip_derived_cl3607,plain,
! [X2: $i] :
( ( X2 != n_1 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( X2
!= ( ordsucc @ Y0 ) ) ) )
| ~ ( in @ X2 @ nat ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3606]) ).
thf(zip_derived_cl3608,plain,
! [X2: $i] :
( ( X2 = n_1 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( X2
!= ( ordsucc @ Y0 ) ) ) )
| ~ ( in @ X2 @ nat ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3607]) ).
thf(zip_derived_cl3609,plain,
! [X2: $i] :
( ~ ( ( in @ ( '#sk4661' @ X2 ) @ nat )
=> ( X2
!= ( ordsucc @ ( '#sk4661' @ X2 ) ) ) )
| ~ ( in @ X2 @ nat )
| ( X2 = n_1 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3608]) ).
thf(zip_derived_cl3611,plain,
! [X2: $i] :
( ( X2
!= ( ordsucc @ ( '#sk4661' @ X2 ) ) )
| ( X2 = n_1 )
| ~ ( in @ X2 @ nat ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3609]) ).
thf(zip_derived_cl3612,plain,
! [X2: $i] :
( ( X2
= ( ordsucc @ ( '#sk4661' @ X2 ) ) )
| ( X2 = n_1 )
| ~ ( in @ X2 @ nat ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3611]) ).
thf(zip_derived_cl9317,plain,
( ( '#sk967' = n_1 )
| ( '#sk967'
= ( ordsucc @ ( '#sk4661' @ '#sk967' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1225,zip_derived_cl3612]) ).
thf(def_n_1,axiom,
( n_1
= ( ordsucc @ emptyset ) ) ).
thf(zip_derived_cl108,plain,
( n_1
= ( ordsucc @ emptyset ) ),
inference(cnf,[status(esa)],[def_n_1]) ).
thf(k_In_ind,axiom,
! [X0: $i > $o] :
( ! [X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( X0 @ X2 ) )
=> ( X0 @ X1 ) )
=> ! [X1: $i] : ( X0 @ X1 ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( Y0 @ Y2 ) ) )
=> ( Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[k_In_ind]) ).
thf(zip_derived_cl298,plain,
! [X2: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( X2 @ Y1 ) ) )
=> ( X2 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl537,plain,
( ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( Y1 != emptyset ) ) )
=> ( Y0 != emptyset ) ) )
=> ( !!
@ ^ [Y0: $i] : ( Y0 != emptyset ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl298]) ).
thf(zip_derived_cl4448,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( Y1 != emptyset ) ) )
=> ( Y0 != emptyset ) ) )
| ( !!
@ ^ [Y0: $i] : ( Y0 != emptyset ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl537]) ).
thf(zip_derived_cl4449,plain,
( ~ ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk6395' )
=> ( Y0 != emptyset ) ) )
=> ( '#sk6395' != emptyset ) )
| ( !!
@ ^ [Y0: $i] : ( Y0 != emptyset ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4448]) ).
thf(zip_derived_cl4451,plain,
( ( '#sk6395' != emptyset )
| ( !!
@ ^ [Y0: $i] : ( Y0 != emptyset ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4449]) ).
thf(zip_derived_cl4453,plain,
( ( '#sk6395' = emptyset )
| ( !!
@ ^ [Y0: $i] : ( Y0 != emptyset ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4451]) ).
thf(zip_derived_cl4454,plain,
! [X2: $i] :
( ( X2 != emptyset )
| ( '#sk6395' = emptyset ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4453]) ).
thf(zip_derived_cl4456,plain,
! [X2: $i] :
( ( X2 != emptyset )
| ( '#sk6395' = emptyset ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4454]) ).
thf(zip_derived_cl4457,plain,
'#sk6395' = emptyset,
inference(simplify,[status(thm)],[zip_derived_cl4456]) ).
thf(zip_derived_cl4464,plain,
( n_1
= ( ordsucc @ '#sk6395' ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl4457]) ).
thf(zip_derived_cl9357,plain,
( ( '#sk967'
= ( ordsucc @ '#sk6395' ) )
| ( '#sk967'
= ( ordsucc @ ( '#sk4661' @ '#sk967' ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl9317,zip_derived_cl4464]) ).
thf(zip_derived_cl1226,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( '#sk967'
!= ( n_pl @ n_1 @ Y0 ) ) ) )
=> ( n_1 = '#sk967' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1224]) ).
thf(zip_derived_cl1228,plain,
n_1 != '#sk967',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1226]) ).
thf(zip_derived_cl1230,plain,
n_1 != '#sk967',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1228]) ).
thf(zip_derived_cl4464_001,plain,
( n_1
= ( ordsucc @ '#sk6395' ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl4457]) ).
thf(zip_derived_cl4624,plain,
( ( ordsucc @ '#sk6395' )
!= '#sk967' ),
inference(demod,[status(thm)],[zip_derived_cl1230,zip_derived_cl4464]) ).
thf(zip_derived_cl9397,plain,
( '#sk967'
= ( ordsucc @ ( '#sk4661' @ '#sk967' ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9357,zip_derived_cl4624]) ).
thf(satz4c,axiom,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ nat )
@ ^ [X0: $i] : ( n_is @ ( n_pl @ n_1 @ X0 ) @ ( ordsucc @ X0 ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i] :
( ( in @ X4 @ nat )
=> ( ( n_pl @ n_1 @ X4 )
= ( ordsucc @ X4 ) ) ) ).
thf(zip_derived_cl125,plain,
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( ( n_pl @ n_1 @ Y0 )
= ( ordsucc @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl899,plain,
! [X2: $i] :
( ( in @ X2 @ nat )
=> ( ( n_pl @ n_1 @ X2 )
= ( ordsucc @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl125]) ).
thf(zip_derived_cl900,plain,
! [X2: $i] :
( ~ ( in @ X2 @ nat )
| ( ( n_pl @ n_1 @ X2 )
= ( ordsucc @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl899]) ).
thf(zip_derived_cl901,plain,
! [X2: $i] :
( ~ ( in @ X2 @ nat )
| ( ( n_pl @ n_1 @ X2 )
= ( ordsucc @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl900]) ).
thf(zip_derived_cl1227,plain,
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ nat )
=> ( '#sk967'
!= ( n_pl @ n_1 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1226]) ).
thf(zip_derived_cl1229,plain,
! [X2: $i] :
( ( in @ X2 @ nat )
=> ( '#sk967'
!= ( n_pl @ n_1 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1227]) ).
thf(zip_derived_cl1231,plain,
! [X2: $i] :
( ~ ( in @ X2 @ nat )
| ( '#sk967'
!= ( n_pl @ n_1 @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1229]) ).
thf(zip_derived_cl1232,plain,
! [X2: $i] :
( ~ ( in @ X2 @ nat )
| ( '#sk967'
!= ( n_pl @ n_1 @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1231]) ).
thf(zip_derived_cl1733,plain,
! [X0: $i] :
( ( '#sk967'
!= ( ordsucc @ X0 ) )
| ~ ( in @ X0 @ nat )
| ~ ( in @ X0 @ nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl901,zip_derived_cl1232]) ).
thf(zip_derived_cl1735,plain,
! [X0: $i] :
( ~ ( in @ X0 @ nat )
| ( '#sk967'
!= ( ordsucc @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1733]) ).
thf(zip_derived_cl9414,plain,
( ( '#sk967' != '#sk967' )
| ~ ( in @ ( '#sk4661' @ '#sk967' ) @ nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl9397,zip_derived_cl1735]) ).
thf(zip_derived_cl1225_002,plain,
in @ '#sk967' @ nat,
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1224]) ).
thf(zip_derived_cl3610,plain,
! [X2: $i] :
( ( in @ ( '#sk4661' @ X2 ) @ nat )
| ( X2 = n_1 )
| ~ ( in @ X2 @ nat ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3609]) ).
thf(zip_derived_cl3614,plain,
( ( '#sk967' = n_1 )
| ( in @ ( '#sk4661' @ '#sk967' ) @ nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl1225,zip_derived_cl3610]) ).
thf(zip_derived_cl1230_003,plain,
n_1 != '#sk967',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1228]) ).
thf(zip_derived_cl3636,plain,
in @ ( '#sk4661' @ '#sk967' ) @ nat,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3614,zip_derived_cl1230]) ).
thf(zip_derived_cl9424,plain,
'#sk967' != '#sk967',
inference(demod,[status(thm)],[zip_derived_cl9414,zip_derived_cl3636]) ).
thf(zip_derived_cl9425,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl9424]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : NUM694^4 : TPTP v8.1.2. Released v7.1.0.
% 0.14/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Wruck5laIC true
% 0.16/0.37 % Computer : n010.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 25 14:56:05 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.38 % Running in HO mode
% 0.24/0.68 % Total configuration time : 828
% 0.24/0.69 % Estimated wc time : 1656
% 0.24/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.24/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.24/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.24/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.24/0.80 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.24/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.24/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.24/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.30/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 35.76/5.25 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 65.19/8.98 % Solved by lams/35_full_unif4.sh.
% 65.19/8.98 % done 953 iterations in 8.167s
% 65.19/8.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 65.19/8.98 % SZS output start Refutation
% See solution above
% 65.19/8.98
% 65.19/8.98
% 65.19/8.98 % Terminating...
% 65.56/9.14 % Runner terminated.
% 65.56/9.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------