TSTP Solution File: ALG255^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG255^1 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aEzMqeBvjS true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:12:30 EDT 2023
% Result : Theorem 1.45s 0.85s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 96
% Syntax : Number of formulae : 103 ( 55 unt; 44 typ; 0 def)
% Number of atoms : 299 ( 133 equ; 0 cnn)
% Maximal formula atoms : 35 ( 5 avg)
% Number of connectives : 948 ( 17 ~; 2 |; 12 &; 673 @)
% ( 0 <=>; 244 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 44 ( 42 usr; 37 con; 0-2 aty)
% Number of variables : 268 ( 0 ^; 268 !; 0 ?; 268 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf(axmap_type,type,
axmap: $o ).
thf(termmset_gthm_type,type,
termmset_gthm: $o ).
thf(axclos_type,type,
axclos: $o ).
thf(lam_type,type,
lam: term > term ).
thf(lamnotap_type,type,
lamnotap: $o ).
thf(axvarcons_type,type,
axvarcons: $o ).
thf(substmonoid_type,type,
substmonoid: $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(sk__72_type,type,
sk__72: term ).
thf(sk__73_type,type,
sk__73: subst ).
thf(one_type,type,
one: term ).
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(sh_type,type,
sh: subst ).
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(sk__74_type,type,
sk__74: subst ).
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(ap_type,type,
ap: term > term > term ).
thf(termmset_type,type,
termmset: $o ).
thf(var_type,type,
var: term > $o ).
thf(axassoc_type,type,
axassoc: $o ).
thf(axidr_type,type,
axidr: $o ).
thf(sk__71_type,type,
sk__71: term ).
thf(axabs_type,type,
axabs: $o ).
thf(ulamvar1_type,type,
ulamvar1: $o ).
thf(induction_type,type,
induction: $o ).
thf(axscons_type,type,
axscons: $o ).
thf(termmset_gthm,axiom,
( termmset_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
=> termmset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf('0',plain,
( termmset_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
=> termmset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(termmset,axiom,
( termmset
= ( ! [A: term] :
( ( sub @ A @ id )
= A )
& ! [A: term,M: subst,N: subst] :
( ( sub @ ( sub @ A @ M ) @ N )
= ( sub @ A @ ( comp @ M @ N ) ) ) ) ) ).
thf('1',plain,
( termmset
= ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 )
& ! [X6: term,X8: subst,X10: subst] :
( ( sub @ ( sub @ X6 @ X8 ) @ X10 )
= ( sub @ X6 @ ( comp @ X8 @ X10 ) ) ) ) ),
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('2',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(induction2,axiom,
( induction2
= ( ! [P: term > $o] :
( ! [A: term] :
( ( var @ A )
=> ( P @ A ) )
=> ( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ! [B: term] :
( ( P @ B )
=> ( P @ ( sub @ A @ ( push @ B @ id ) ) ) )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term] : ( P @ A ) ) ) ) ) ) ).
thf('3',plain,
( induction2
= ( ! [X4: term > $o] :
( ! [X6: term] :
( ( var @ X6 )
=> ( X4 @ X6 ) )
=> ( ! [X8: term,X10: term] :
( ( X4 @ X8 )
=> ( ( X4 @ X10 )
=> ( X4 @ ( ap @ X8 @ X10 ) ) ) )
=> ( ! [X12: term] :
( ! [X14: term] :
( ( X4 @ X14 )
=> ( X4 @ ( sub @ X12 @ ( push @ X14 @ id ) ) ) )
=> ( X4 @ ( lam @ X12 ) ) )
=> ! [X16: term] : ( X4 @ X16 ) ) ) ) ) ),
define([status(thm)]) ).
thf(induction2lem,axiom,
( induction2lem
= ( ! [P: term > $o] :
( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ! [B: term] :
( ( P @ B )
=> ( P @ ( sub @ A @ ( push @ B @ id ) ) ) )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term,M: subst] :
( ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ M ) ) )
=> ( P @ ( sub @ A @ M ) ) ) ) ) ) ) ).
thf('4',plain,
( induction2lem
= ( ! [X4: term > $o] :
( ! [X6: term,X8: term] :
( ( X4 @ X6 )
=> ( ( X4 @ X8 )
=> ( X4 @ ( ap @ X6 @ X8 ) ) ) )
=> ( ! [X10: term] :
( ! [X12: term] :
( ( X4 @ X12 )
=> ( X4 @ ( sub @ X10 @ ( push @ X12 @ id ) ) ) )
=> ( X4 @ ( lam @ X10 ) ) )
=> ! [X14: term,X16: subst] :
( ! [X18: term] :
( ( var @ X18 )
=> ( X4 @ ( sub @ X18 @ X16 ) ) )
=> ( X4 @ ( sub @ X14 @ X16 ) ) ) ) ) ) ),
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('5',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(induction,axiom,
( induction
= ( ! [P: term > $o] :
( ! [A: term] :
( ( var @ A )
=> ( P @ A ) )
=> ( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ( P @ A )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term] : ( P @ A ) ) ) ) ) ) ).
thf('6',plain,
( induction
= ( ! [X4: term > $o] :
( ! [X6: term] :
( ( var @ X6 )
=> ( X4 @ X6 ) )
=> ( ! [X8: term,X10: term] :
( ( X4 @ X8 )
=> ( ( X4 @ X10 )
=> ( X4 @ ( ap @ X8 @ X10 ) ) ) )
=> ( ! [X12: term] :
( ( X4 @ X12 )
=> ( X4 @ ( lam @ X12 ) ) )
=> ! [X14: term] : ( X4 @ X14 ) ) ) ) ) ),
define([status(thm)]) ).
thf(lamnotvar,axiom,
( lamnotvar
= ( ! [A: term] :
~ ( var @ ( lam @ A ) ) ) ) ).
thf('7',plain,
( lamnotvar
= ( ! [X4: term] :
~ ( var @ ( lam @ X4 ) ) ) ),
define([status(thm)]) ).
thf(apnotvar,axiom,
( apnotvar
= ( ! [A: term,B: term] :
~ ( var @ ( ap @ A @ B ) ) ) ) ).
thf('8',plain,
( apnotvar
= ( ! [X4: term,X6: term] :
~ ( var @ ( ap @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(lamnotap,axiom,
( lamnotap
= ( ! [A: term,B: term,C: term] :
( ( lam @ A )
!= ( ap @ B @ C ) ) ) ) ).
thf('9',plain,
( lamnotap
= ( ! [X4: term,X6: term,X8: term] :
( ( lam @ X4 )
!= ( ap @ X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(laminj,axiom,
( laminj
= ( ! [A: term,B: term] :
( ( ( lam @ A )
= ( lam @ B ) )
=> ( A = B ) ) ) ) ).
thf('10',plain,
( laminj
= ( ! [X4: term,X6: term] :
( ( ( lam @ X4 )
= ( lam @ X6 ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(ulamvarind,axiom,
( ulamvarind
= ( ! [P: term > $o] :
( ( P @ one )
=> ( ! [A: term] :
( ( var @ A )
=> ( ( P @ A )
=> ( P @ ( sub @ A @ sh ) ) ) )
=> ! [A: term] :
( ( var @ A )
=> ( P @ A ) ) ) ) ) ) ).
thf('11',plain,
( ulamvarind
= ( ! [X4: term > $o] :
( ( X4 @ one )
=> ( ! [X6: term] :
( ( var @ X6 )
=> ( ( X4 @ X6 )
=> ( X4 @ ( sub @ X6 @ sh ) ) ) )
=> ! [X8: term] :
( ( var @ X8 )
=> ( X4 @ X8 ) ) ) ) ) ),
define([status(thm)]) ).
thf(ulamvarsh,axiom,
( ulamvarsh
= ( ! [A: term] :
( ( var @ A )
=> ( var @ ( sub @ A @ sh ) ) ) ) ) ).
thf('12',plain,
( ulamvarsh
= ( ! [X4: term] :
( ( var @ X4 )
=> ( var @ ( sub @ X4 @ sh ) ) ) ) ),
define([status(thm)]) ).
thf(ulamvar1,axiom,
( ulamvar1
= ( var @ one ) ) ).
thf('13',plain,
( ulamvar1
= ( var @ one ) ),
inference(simplify_rw_rule,[status(thm)],[ulamvar1]) ).
thf('14',plain,
( ulamvar1
= ( var @ one ) ),
define([status(thm)]) ).
thf(axscons,axiom,
( axscons
= ( ! [M: subst] :
( ( push @ ( sub @ one @ M ) @ ( comp @ sh @ M ) )
= M ) ) ) ).
thf('15',plain,
( axscons
= ( ! [X4: subst] :
( ( push @ ( sub @ one @ X4 ) @ ( comp @ sh @ X4 ) )
= X4 ) ) ),
define([status(thm)]) ).
thf(axvarshift,axiom,
( axvarshift
= ( ( push @ one @ sh )
= id ) ) ).
thf('16',plain,
( axvarshift
= ( ( push @ one @ sh )
= id ) ),
define([status(thm)]) ).
thf(axidr,axiom,
( axidr
= ( ! [M: subst] :
( ( comp @ M @ id )
= M ) ) ) ).
thf('17',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('18',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('19',plain,
( axassoc
= ( ! [X4: subst,X6: subst,X8: subst] :
( ( comp @ ( comp @ X4 @ X6 ) @ X8 )
= ( comp @ X4 @ ( comp @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(axshiftcons,axiom,
( axshiftcons
= ( ! [A: term,M: subst] :
( ( comp @ sh @ ( push @ A @ M ) )
= M ) ) ) ).
thf('20',plain,
( axshiftcons
= ( ! [X4: term,X6: subst] :
( ( comp @ sh @ ( push @ X4 @ X6 ) )
= X6 ) ) ),
define([status(thm)]) ).
thf(axidl,axiom,
( axidl
= ( ! [M: subst] :
( ( comp @ id @ M )
= M ) ) ) ).
thf('21',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('22',plain,
( axclos
= ( ! [X4: term,X6: subst,X8: subst] :
( ( sub @ ( sub @ X4 @ X6 ) @ X8 )
= ( sub @ X4 @ ( comp @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(axabs,axiom,
( axabs
= ( ! [A: term,M: subst] :
( ( sub @ ( lam @ A ) @ M )
= ( lam @ ( sub @ A @ ( push @ one @ ( comp @ M @ sh ) ) ) ) ) ) ) ).
thf('23',plain,
( axabs
= ( ! [X4: term,X6: subst] :
( ( sub @ ( lam @ X4 ) @ X6 )
= ( lam @ ( sub @ X4 @ ( push @ one @ ( comp @ X6 @ sh ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(axvarid,axiom,
( axvarid
= ( ! [A: term] :
( ( sub @ A @ id )
= A ) ) ) ).
thf('24',plain,
( axvarid
= ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 ) ) ),
define([status(thm)]) ).
thf(axvarcons,axiom,
( axvarcons
= ( ! [A: term,M: subst] :
( ( sub @ one @ ( push @ A @ M ) )
= A ) ) ) ).
thf('25',plain,
( axvarcons
= ( ! [X4: term,X6: subst] :
( ( sub @ one @ ( push @ X4 @ X6 ) )
= X4 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
termmset_gthm ).
thf(zf_stmt_0,conjecture,
( axapp
=> ( ! [X4: term,X6: subst] :
( ( sub @ one @ ( push @ X4 @ X6 ) )
= X4 )
=> ( ! [X8: term] :
( ( sub @ X8 @ id )
= X8 )
=> ( ! [X10: term,X12: subst] :
( ( sub @ ( lam @ X10 ) @ X12 )
= ( lam @ ( sub @ X10 @ ( push @ one @ ( comp @ X12 @ sh ) ) ) ) )
=> ( ! [X14: term,X16: subst,X18: subst] :
( ( sub @ ( sub @ X14 @ X16 ) @ X18 )
= ( sub @ X14 @ ( comp @ X16 @ X18 ) ) )
=> ( ! [X20: subst] :
( ( comp @ id @ X20 )
= X20 )
=> ( ! [X22: term,X24: subst] :
( ( comp @ sh @ ( push @ X22 @ X24 ) )
= X24 )
=> ( ! [X26: subst,X28: subst,X30: subst] :
( ( comp @ ( comp @ X26 @ X28 ) @ X30 )
= ( comp @ X26 @ ( comp @ X28 @ X30 ) ) )
=> ( ! [X32: term,X34: subst,X36: subst] :
( ( comp @ ( push @ X32 @ X34 ) @ X36 )
= ( push @ ( sub @ X32 @ X36 ) @ ( comp @ X34 @ X36 ) ) )
=> ( ! [X38: subst] :
( ( comp @ X38 @ id )
= X38 )
=> ( ( ( push @ one @ sh )
= id )
=> ( ! [X40: subst] :
( ( push @ ( sub @ one @ X40 ) @ ( comp @ sh @ X40 ) )
= X40 )
=> ( ( var @ one )
=> ( ! [X42: term] :
( ( var @ X42 )
=> ( var @ ( sub @ X42 @ sh ) ) )
=> ( ! [X44: term > $o] :
( ( X44 @ one )
=> ( ! [X46: term] :
( ( var @ X46 )
=> ( ( X44 @ X46 )
=> ( X44 @ ( sub @ X46 @ sh ) ) ) )
=> ! [X48: term] :
( ( var @ X48 )
=> ( X44 @ X48 ) ) ) )
=> ( apinj1
=> ( apinj2
=> ( ! [X50: term,X52: term] :
( ( ( lam @ X50 )
= ( lam @ X52 ) )
=> ( X50 = X52 ) )
=> ( shinj
=> ( ! [X54: term,X56: term,X58: term] :
( ( lam @ X54 )
!= ( ap @ X56 @ X58 ) )
=> ( ! [X60: term,X62: term] :
~ ( var @ ( ap @ X60 @ X62 ) )
=> ( ! [X64: term] :
~ ( var @ ( lam @ X64 ) )
=> ( ! [X66: term > $o] :
( ! [X68: term] :
( ( var @ X68 )
=> ( X66 @ X68 ) )
=> ( ! [X70: term,X72: term] :
( ( X66 @ X70 )
=> ( ( X66 @ X72 )
=> ( X66 @ ( ap @ X70 @ X72 ) ) ) )
=> ( ! [X74: term] :
( ( X66 @ X74 )
=> ( X66 @ ( lam @ X74 ) ) )
=> ! [X76: term] : ( X66 @ X76 ) ) ) )
=> ( ! [X78: term > $o,X80: term,X82: subst] :
( ! [X84: term] :
( ( var @ X84 )
=> ( X78 @ ( sub @ X84 @ X82 ) ) )
=> ( ( X78 @ X80 )
=> ! [X86: term] :
( ( var @ X86 )
=> ( X78 @ ( sub @ X86 @ ( push @ X80 @ X82 ) ) ) ) ) )
=> ( ! [X88: term > $o] :
( ! [X90: term,X92: term] :
( ( X88 @ X90 )
=> ( ( X88 @ X92 )
=> ( X88 @ ( ap @ X90 @ X92 ) ) ) )
=> ( ! [X94: term] :
( ! [X96: term] :
( ( X88 @ X96 )
=> ( X88 @ ( sub @ X94 @ ( push @ X96 @ id ) ) ) )
=> ( X88 @ ( lam @ X94 ) ) )
=> ! [X98: term,X100: subst] :
( ! [X102: term] :
( ( var @ X102 )
=> ( X88 @ ( sub @ X102 @ X100 ) ) )
=> ( X88 @ ( sub @ X98 @ X100 ) ) ) ) )
=> ( ! [X104: term > $o] :
( ! [X106: term] :
( ( var @ X106 )
=> ( X104 @ X106 ) )
=> ( ! [X108: term,X110: term] :
( ( X104 @ X108 )
=> ( ( X104 @ X110 )
=> ( X104 @ ( ap @ X108 @ X110 ) ) ) )
=> ( ! [X112: term] :
( ! [X114: term] :
( ( X104 @ X114 )
=> ( X104 @ ( sub @ X112 @ ( push @ X114 @ id ) ) ) )
=> ( X104 @ ( lam @ X112 ) ) )
=> ! [X116: term] : ( X104 @ X116 ) ) ) )
=> ( ( ! [X118: subst] :
( ( comp @ X118 @ id )
= X118 )
& ! [X120: subst] :
( ( comp @ id @ X120 )
= X120 )
& ! [X122: subst,X124: subst,X126: subst] :
( ( comp @ ( comp @ X122 @ X124 ) @ X126 )
= ( comp @ X122 @ ( comp @ X124 @ X126 ) ) ) )
=> ( ! [X128: term] :
( ( sub @ X128 @ id )
= X128 )
& ! [X130: term,X132: subst,X134: subst] :
( ( sub @ ( sub @ X130 @ X132 ) @ X134 )
= ( sub @ X130 @ ( comp @ X132 @ X134 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( axapp
=> ( ! [X4: term,X6: subst] :
( ( sub @ one @ ( push @ X4 @ X6 ) )
= X4 )
=> ( ! [X8: term] :
( ( sub @ X8 @ id )
= X8 )
=> ( ! [X10: term,X12: subst] :
( ( sub @ ( lam @ X10 ) @ X12 )
= ( lam @ ( sub @ X10 @ ( push @ one @ ( comp @ X12 @ sh ) ) ) ) )
=> ( ! [X14: term,X16: subst,X18: subst] :
( ( sub @ ( sub @ X14 @ X16 ) @ X18 )
= ( sub @ X14 @ ( comp @ X16 @ X18 ) ) )
=> ( ! [X20: subst] :
( ( comp @ id @ X20 )
= X20 )
=> ( ! [X22: term,X24: subst] :
( ( comp @ sh @ ( push @ X22 @ X24 ) )
= X24 )
=> ( ! [X26: subst,X28: subst,X30: subst] :
( ( comp @ ( comp @ X26 @ X28 ) @ X30 )
= ( comp @ X26 @ ( comp @ X28 @ X30 ) ) )
=> ( ! [X32: term,X34: subst,X36: subst] :
( ( comp @ ( push @ X32 @ X34 ) @ X36 )
= ( push @ ( sub @ X32 @ X36 ) @ ( comp @ X34 @ X36 ) ) )
=> ( ! [X38: subst] :
( ( comp @ X38 @ id )
= X38 )
=> ( ( ( push @ one @ sh )
= id )
=> ( ! [X40: subst] :
( ( push @ ( sub @ one @ X40 ) @ ( comp @ sh @ X40 ) )
= X40 )
=> ( ( var @ one )
=> ( ! [X42: term] :
( ( var @ X42 )
=> ( var @ ( sub @ X42 @ sh ) ) )
=> ( ! [X44: term > $o] :
( ( X44 @ one )
=> ( ! [X46: term] :
( ( var @ X46 )
=> ( ( X44 @ X46 )
=> ( X44 @ ( sub @ X46 @ sh ) ) ) )
=> ! [X48: term] :
( ( var @ X48 )
=> ( X44 @ X48 ) ) ) )
=> ( apinj1
=> ( apinj2
=> ( ! [X50: term,X52: term] :
( ( ( lam @ X50 )
= ( lam @ X52 ) )
=> ( X50 = X52 ) )
=> ( shinj
=> ( ! [X54: term,X56: term,X58: term] :
( ( lam @ X54 )
!= ( ap @ X56 @ X58 ) )
=> ( ! [X60: term,X62: term] :
~ ( var @ ( ap @ X60 @ X62 ) )
=> ( ! [X64: term] :
~ ( var @ ( lam @ X64 ) )
=> ( ! [X66: term > $o] :
( ! [X68: term] :
( ( var @ X68 )
=> ( X66 @ X68 ) )
=> ( ! [X70: term,X72: term] :
( ( X66 @ X70 )
=> ( ( X66 @ X72 )
=> ( X66 @ ( ap @ X70 @ X72 ) ) ) )
=> ( ! [X74: term] :
( ( X66 @ X74 )
=> ( X66 @ ( lam @ X74 ) ) )
=> ! [X76: term] : ( X66 @ X76 ) ) ) )
=> ( ! [X78: term > $o,X80: term,X82: subst] :
( ! [X84: term] :
( ( var @ X84 )
=> ( X78 @ ( sub @ X84 @ X82 ) ) )
=> ( ( X78 @ X80 )
=> ! [X86: term] :
( ( var @ X86 )
=> ( X78 @ ( sub @ X86 @ ( push @ X80 @ X82 ) ) ) ) ) )
=> ( ! [X88: term > $o] :
( ! [X90: term,X92: term] :
( ( X88 @ X90 )
=> ( ( X88 @ X92 )
=> ( X88 @ ( ap @ X90 @ X92 ) ) ) )
=> ( ! [X94: term] :
( ! [X96: term] :
( ( X88 @ X96 )
=> ( X88 @ ( sub @ X94 @ ( push @ X96 @ id ) ) ) )
=> ( X88 @ ( lam @ X94 ) ) )
=> ! [X98: term,X100: subst] :
( ! [X102: term] :
( ( var @ X102 )
=> ( X88 @ ( sub @ X102 @ X100 ) ) )
=> ( X88 @ ( sub @ X98 @ X100 ) ) ) ) )
=> ( ! [X104: term > $o] :
( ! [X106: term] :
( ( var @ X106 )
=> ( X104 @ X106 ) )
=> ( ! [X108: term,X110: term] :
( ( X104 @ X108 )
=> ( ( X104 @ X110 )
=> ( X104 @ ( ap @ X108 @ X110 ) ) ) )
=> ( ! [X112: term] :
( ! [X114: term] :
( ( X104 @ X114 )
=> ( X104 @ ( sub @ X112 @ ( push @ X114 @ id ) ) ) )
=> ( X104 @ ( lam @ X112 ) ) )
=> ! [X116: term] : ( X104 @ X116 ) ) ) )
=> ( ( ! [X118: subst] :
( ( comp @ X118 @ id )
= X118 )
& ! [X120: subst] :
( ( comp @ id @ X120 )
= X120 )
& ! [X122: subst,X124: subst,X126: subst] :
( ( comp @ ( comp @ X122 @ X124 ) @ X126 )
= ( comp @ X122 @ ( comp @ X124 @ X126 ) ) ) )
=> ( ! [X128: term] :
( ( sub @ X128 @ id )
= X128 )
& ! [X130: term,X132: subst,X134: subst] :
( ( sub @ ( sub @ X130 @ X132 ) @ X134 )
= ( sub @ X130 @ ( comp @ X132 @ X134 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40,plain,
( ( ( sub @ sk__71 @ id )
!= sk__71 )
| ( ( sub @ ( sub @ sk__72 @ sk__73 ) @ sk__74 )
!= ( sub @ sk__72 @ ( comp @ sk__73 @ sk__74 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: term] :
( ( sub @ X0 @ id )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X1: term,X2: subst,X3: subst] :
( ( sub @ ( sub @ X1 @ X2 ) @ X3 )
= ( sub @ X1 @ ( comp @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl236,plain,
( ( sk__71 != sk__71 )
| ( ( sub @ ( sub @ sk__72 @ sk__73 ) @ sk__74 )
!= ( sub @ ( sub @ sk__72 @ sk__73 ) @ sk__74 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl237,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG255^1 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aEzMqeBvjS true
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 04:10:32 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.22/0.35 % Python version: Python 3.6.8
% 0.22/0.36 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.25/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.45/0.85 % Solved by lams/40_c.s.sh.
% 1.45/0.85 % done 28 iterations in 0.066s
% 1.45/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.45/0.85 % SZS output start Refutation
% See solution above
% 1.45/0.85
% 1.45/0.85
% 1.45/0.85 % Terminating...
% 1.75/0.97 % Runner terminated.
% 1.75/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------