%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG254^1 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zRYdwG7gGv true
% Computer : n022.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 Oct 2 04:28:27 PM UTC 2025
% Result : Theorem 0.57s 1.00s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 20
% Syntax : Number of formulae : 70 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 1037 ( 217 equ; 0 cnn)
% Maximal formula atoms : 52 ( 14 avg)
% Number of connectives : 2647 ( 58 ~; 20 |; 62 &;1574 @)
% ( 0 <=>; 567 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 13 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 41 ( 38 usr; 36 con; 0-2 aty)
% ( 366 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 467 ( 366 ^; 101 !; 0 ?; 467 :)
% Comments :
%------------------------------------------------------------------------------
thf(subst_type,type,
subst: $tType ).
thf(term_type,type,
term: $tType ).
thf(axmap_type,type,
axmap: $o ).
thf(axclos_type,type,
axclos: $o ).
thf(lamnotap_type,type,
lamnotap: $o ).
thf(axvarcons_type,type,
axvarcons: $o ).
thf('#sk31_type',type,
'#sk31': subst ).
thf(substmonoid_type,type,
substmonoid: $o ).
thf(substmonoid_gthm_type,type,
substmonoid_gthm: $o ).
thf(push_type,type,
push: term > subst > subst ).
thf(axshiftcons_type,type,
axshiftcons: $o ).
thf(axapp_type,type,
axapp: $o ).
thf(shinj_type,type,
shinj: $o ).
thf(id_type,type,
id: subst ).
thf(comp_type,type,
comp: subst > subst > subst ).
thf(induction2_type,type,
induction2: $o ).
thf(axvarid_type,type,
axvarid: $o ).
thf(axvarshift_type,type,
axvarshift: $o ).
thf(induction2lem_type,type,
induction2lem: $o ).
thf(laminj_type,type,
laminj: $o ).
thf(ulamvarind_type,type,
ulamvarind: $o ).
thf(apinj2_type,type,
apinj2: $o ).
thf(ulamvarsh_type,type,
ulamvarsh: $o ).
thf(lamnotvar_type,type,
lamnotvar: $o ).
thf(apnotvar_type,type,
apnotvar: $o ).
thf(pushprop_type,type,
pushprop: $o ).
thf(sub_type,type,
sub: term > subst > term ).
thf(apinj1_type,type,
apinj1: $o ).
thf(axidl_type,type,
axidl: $o ).
thf(var_type,type,
var: term > $o ).
thf(axassoc_type,type,
axassoc: $o ).
thf('#sk26_type',type,
'#sk26': subst ).
thf(axidr_type,type,
axidr: $o ).
thf('#sk21_type',type,
'#sk21': subst ).
thf(axabs_type,type,
axabs: $o ).
thf('#sk13_type',type,
'#sk13': subst ).
thf('#sk17_type',type,
'#sk17': subst ).
thf(ulamvar1_type,type,
ulamvar1: $o ).
thf(induction_type,type,
induction: $o ).
thf(axscons_type,type,
axscons: $o ).
thf(substmonoid_gthm,axiom,
( substmonoid_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> substmonoid ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf('0',plain,
( substmonoid_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> substmonoid ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(substmonoid,axiom,
( substmonoid
= ( ! [M: subst] :
( ( comp @ M @ id )
= M )
& ! [M: subst] :
( ( comp @ id @ M )
= M )
& ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) ) ) ) ).
thf('1',plain,
( substmonoid
= ( ! [X4: subst] :
( ( comp @ X4 @ id )
= X4 )
& ! [X6: subst] :
( ( comp @ id @ X6 )
= X6 )
& ! [X8: subst,X10: subst,X12: subst] :
( ( comp @ ( comp @ X8 @ X10 ) @ X12 )
= ( comp @ X8 @ ( comp @ X10 @ X12 ) ) ) ) ),
define([status(thm)]) ).
thf(pushprop,axiom,
( pushprop
= ( ! [P: term > $o,A: term,M: subst] :
( ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ M ) ) )
=> ( ( P @ A )
=> ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ ( push @ A @ M ) ) ) ) ) ) ) ) ).
thf('2',plain,
( pushprop
= ( ! [X4: term > $o,X6: term,X8: subst] :
( ! [X10: term] :
( ( var @ X10 )
=> ( X4 @ ( sub @ X10 @ X8 ) ) )
=> ( ( X4 @ X6 )
=> ! [X12: term] :
( ( var @ X12 )
=> ( X4 @ ( sub @ X12 @ ( push @ X6 @ X8 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(axidr,axiom,
( axidr
= ( ! [M: subst] :
( ( comp @ M @ id )
= M ) ) ) ).
thf('3',plain,
( axidr
= ( ! [X4: subst] :
( ( comp @ X4 @ id )
= X4 ) ) ),
define([status(thm)]) ).
thf(axmap,axiom,
( axmap
= ( ! [A: term,M: subst,N: subst] :
( ( comp @ ( push @ A @ M ) @ N )
= ( push @ ( sub @ A @ N ) @ ( comp @ M @ N ) ) ) ) ) ).
thf('4',plain,
( axmap
= ( ! [X4: term,X6: subst,X8: subst] :
( ( comp @ ( push @ X4 @ X6 ) @ X8 )
= ( push @ ( sub @ X4 @ X8 ) @ ( comp @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(axassoc,axiom,
( axassoc
= ( ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) ) ) ) ).
thf('5',plain,
( axassoc
= ( ! [X4: subst,X6: subst,X8: subst] :
( ( comp @ ( comp @ X4 @ X6 ) @ X8 )
= ( comp @ X4 @ ( comp @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(axidl,axiom,
( axidl
= ( ! [M: subst] :
( ( comp @ id @ M )
= M ) ) ) ).
thf('6',plain,
( axidl
= ( ! [X4: subst] :
( ( comp @ id @ X4 )
= X4 ) ) ),
define([status(thm)]) ).
thf(axclos,axiom,
( axclos
= ( ! [A: term,M: subst,N: subst] :
( ( sub @ ( sub @ A @ M ) @ N )
= ( sub @ A @ ( comp @ M @ N ) ) ) ) ) ).
thf('7',plain,
( axclos
= ( ! [X4: term,X6: subst,X8: subst] :
( ( sub @ ( sub @ X4 @ X6 ) @ X8 )
= ( sub @ X4 @ ( comp @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(axvarid,axiom,
( axvarid
= ( ! [A: term] :
( ( sub @ A @ id )
= A ) ) ) ).
thf('8',plain,
( axvarid
= ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
substmonoid_gthm ).
thf(zf_stmt_0,conjecture,
( axapp
=> ( axvarcons
=> ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 )
=> ( axabs
=> ( ! [X6: term,X8: subst,X10: subst] :
( ( sub @ ( sub @ X6 @ X8 ) @ X10 )
= ( sub @ X6 @ ( comp @ X8 @ X10 ) ) )
=> ( ! [X12: subst] :
( ( comp @ id @ X12 )
= X12 )
=> ( axshiftcons
=> ( ! [X14: subst,X16: subst,X18: subst] :
( ( comp @ ( comp @ X14 @ X16 ) @ X18 )
= ( comp @ X14 @ ( comp @ X16 @ X18 ) ) )
=> ( ! [X20: term,X22: subst,X24: subst] :
( ( comp @ ( push @ X20 @ X22 ) @ X24 )
= ( push @ ( sub @ X20 @ X24 ) @ ( comp @ X22 @ X24 ) ) )
=> ( ! [X26: subst] :
( ( comp @ X26 @ id )
= X26 )
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ! [X28: term > $o,X30: term,X32: subst] :
( ! [X34: term] :
( ( var @ X34 )
=> ( X28 @ ( sub @ X34 @ X32 ) ) )
=> ( ( X28 @ X30 )
=> ! [X36: term] :
( ( var @ X36 )
=> ( X28 @ ( sub @ X36 @ ( push @ X30 @ X32 ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ! [X42: subst,X44: subst,X46: subst] :
( ( comp @ ( comp @ X42 @ X44 ) @ X46 )
= ( comp @ X42 @ ( comp @ X44 @ X46 ) ) )
& ! [X40: subst] :
( ( comp @ id @ X40 )
= X40 )
& ! [X38: subst] :
( ( comp @ X38 @ id )
= X38 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( axapp
=> ( axvarcons
=> ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 )
=> ( axabs
=> ( ! [X6: term,X8: subst,X10: subst] :
( ( sub @ ( sub @ X6 @ X8 ) @ X10 )
= ( sub @ X6 @ ( comp @ X8 @ X10 ) ) )
=> ( ! [X12: subst] :
( ( comp @ id @ X12 )
= X12 )
=> ( axshiftcons
=> ( ! [X14: subst,X16: subst,X18: subst] :
( ( comp @ ( comp @ X14 @ X16 ) @ X18 )
= ( comp @ X14 @ ( comp @ X16 @ X18 ) ) )
=> ( ! [X20: term,X22: subst,X24: subst] :
( ( comp @ ( push @ X20 @ X22 ) @ X24 )
= ( push @ ( sub @ X20 @ X24 ) @ ( comp @ X22 @ X24 ) ) )
=> ( ! [X26: subst] :
( ( comp @ X26 @ id )
= X26 )
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ! [X28: term > $o,X30: term,X32: subst] :
( ! [X34: term] :
( ( var @ X34 )
=> ( X28 @ ( sub @ X34 @ X32 ) ) )
=> ( ( X28 @ X30 )
=> ! [X36: term] :
( ( var @ X36 )
=> ( X28 @ ( sub @ X36 @ ( push @ X30 @ X32 ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ! [X42: subst,X44: subst,X46: subst] :
( ( comp @ ( comp @ X42 @ X44 ) @ X46 )
= ( comp @ X42 @ ( comp @ X44 @ X46 ) ) )
& ! [X40: subst] :
( ( comp @ id @ X40 )
= X40 )
& ! [X38: subst] :
( ( comp @ X38 @ id )
= X38 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( axapp
=> ( axvarcons
=> ( ( !!
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
=> ( axabs
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
=> ( axshiftcons
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y0 @ Y1 ) @ Y2 )
= ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) )
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( axvarcons
=> ( ( !!
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
=> ( axabs
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
=> ( axshiftcons
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y0 @ Y1 ) @ Y2 )
= ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) )
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( ( !!
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
=> ( axabs
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
=> ( axshiftcons
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y0 @ Y1 ) @ Y2 )
= ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) )
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
~ ( axabs
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
=> ( axshiftcons
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y0 @ Y1 ) @ Y2 )
= ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) )
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
~ ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
= ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
=> ( axshiftcons
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y0 @ Y1 ) @ Y2 )
= ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) )
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
~ ( ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
=> ( axshiftcons
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y0 @ Y1 ) @ Y2 )
= ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) )
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
~ ( axshiftcons
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y0 @ Y1 ) @ Y2 )
= ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) )
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl19,plain,
~ ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y0 @ Y1 ) @ Y2 )
= ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) )
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl23,plain,
~ ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( push @ Y0 @ Y1 ) @ Y2 )
= ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) )
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl27,plain,
~ ( ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) )
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl31,plain,
~ ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl36,plain,
~ ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl41,plain,
~ ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl44,plain,
~ ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl46,plain,
~ ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl48,plain,
~ ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl50,plain,
~ ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl52,plain,
~ ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl54,plain,
~ ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl56,plain,
~ ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl58,plain,
~ ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl60,plain,
~ ( lamnotvar
=> ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl62,plain,
~ ( induction
=> ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl64,plain,
~ ( ( !!
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl66,plain,
~ ( induction2lem
=> ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl72,plain,
~ ( induction2
=> ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl75,plain,
~ ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl77,plain,
( ~ ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
| ~ ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl79,plain,
( ~ ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( ( comp @ ( comp @ '#sk13' @ Y0 ) @ Y1 )
= ( comp @ '#sk13' @ ( comp @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) )
| ~ ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl81,plain,
( ~ ( !!
@ ^ [Y0: subst] :
( ( comp @ ( comp @ '#sk13' @ '#sk17' ) @ Y0 )
= ( comp @ '#sk13' @ ( comp @ '#sk17' @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
| ~ ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl84,plain,
( ( ( comp @ ( comp @ '#sk13' @ '#sk17' ) @ '#sk21' )
!= ( comp @ '#sk13' @ ( comp @ '#sk17' @ '#sk21' ) ) )
| ~ ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) )
| ~ ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl87,plain,
( ( ( comp @ ( comp @ '#sk13' @ '#sk17' ) @ '#sk21' )
!= ( comp @ '#sk13' @ ( comp @ '#sk17' @ '#sk21' ) ) )
| ~ ( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) )
| ~ ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl88,plain,
( ( ( comp @ '#sk26' @ id )
!= '#sk26' )
| ~ ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
| ( ( comp @ ( comp @ '#sk13' @ '#sk17' ) @ '#sk21' )
!= ( comp @ '#sk13' @ ( comp @ '#sk17' @ '#sk21' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl91,plain,
( ( ( comp @ '#sk26' @ id )
!= '#sk26' )
| ~ ( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) )
| ( ( comp @ ( comp @ '#sk13' @ '#sk17' ) @ '#sk21' )
!= ( comp @ '#sk13' @ ( comp @ '#sk17' @ '#sk21' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl92,plain,
( ( ( comp @ id @ '#sk31' )
!= '#sk31' )
| ( ( comp @ ( comp @ '#sk13' @ '#sk17' ) @ '#sk21' )
!= ( comp @ '#sk13' @ ( comp @ '#sk17' @ '#sk21' ) ) )
| ( ( comp @ '#sk26' @ id )
!= '#sk26' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl95,plain,
( ( ( comp @ id @ '#sk31' )
!= '#sk31' )
| ( ( comp @ ( comp @ '#sk13' @ '#sk17' ) @ '#sk21' )
!= ( comp @ '#sk13' @ ( comp @ '#sk17' @ '#sk21' ) ) )
| ( ( comp @ '#sk26' @ id )
!= '#sk26' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: subst] :
( ( comp @ id @ Y0 )
= Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
! [X2: subst] :
( ( comp @ id @ X2 )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl21,plain,
! [X2: subst] :
( ( comp @ id @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl22,plain,
( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: subst] :
( ( comp @ ( comp @ Y0 @ Y1 ) @ Y2 )
= ( comp @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl25,plain,
! [X2: subst] :
( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: subst] :
( ( comp @ ( comp @ X2 @ Y0 ) @ Y1 )
= ( comp @ X2 @ ( comp @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl28,plain,
! [X2: subst,X4: subst] :
( !!
@ ^ [Y0: subst] :
( ( comp @ ( comp @ X2 @ X4 ) @ Y0 )
= ( comp @ X2 @ ( comp @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
! [X2: subst,X4: subst,X6: subst] :
( ( comp @ ( comp @ X2 @ X4 ) @ X6 )
= ( comp @ X2 @ ( comp @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl37,plain,
! [X2: subst,X4: subst,X6: subst] :
( ( comp @ ( comp @ X2 @ X4 ) @ X6 )
= ( comp @ X2 @ ( comp @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl30,plain,
( !!
@ ^ [Y0: subst] :
( ( comp @ Y0 @ id )
= Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl34,plain,
! [X2: subst] :
( ( comp @ X2 @ id )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl39,plain,
! [X2: subst] :
( ( comp @ X2 @ id )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl97,plain,
( ( '#sk31' != '#sk31' )
| ( ( comp @ '#sk13' @ ( comp @ '#sk17' @ '#sk21' ) )
!= ( comp @ '#sk13' @ ( comp @ '#sk17' @ '#sk21' ) ) )
| ( '#sk26' != '#sk26' ) ),
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl21,zip_derived_cl37,zip_derived_cl39]) ).
thf(zip_derived_cl98,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG254^1 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zRYdwG7gGv true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 17:04:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.54/0.64 % Total configuration time : 828
% 0.54/0.64 % Estimated wc time : 1656
% 0.54/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.88 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/1.00 % Solved by lams/30_sp5.sh.
% 0.57/1.00 % done 0 iterations in 0.093s
% 0.57/1.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/1.00 % SZS output start Refutation
% See solution above
% 0.57/1.01
% 0.57/1.01
% 0.57/1.01 % Terminating...
% 1.62/1.16 % Runner terminated.
% 1.65/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------