%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV261^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BXjStB7tm1 true
% Computer : n028.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 04:57:29 PM UTC 2025
% Result : Theorem 17.07s 5.28s
% Output : Refutation 17.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 6
% Syntax : Number of formulae : 115 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 885 ( 270 equ; 0 cnn)
% Maximal formula atoms : 26 ( 7 avg)
% Number of connectives : 969 ( 138 ~; 228 |; 102 &; 338 @)
% ( 0 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 151 ( 151 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 11 usr; 9 con; 0-2 aty)
% ( 73 !!; 29 ??; 0 @@+; 0 @@-)
% Number of variables : 435 ( 368 ^; 65 !; 2 ?; 435 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf('#form4_type',type,
'#form4': $o ).
thf('#sk5_type',type,
'#sk5': ( a > $o ) > $o ).
thf('#sk36_type',type,
'#sk36': a ).
thf('#sk2_type',type,
'#sk2': a > $o ).
thf('#sk37_type',type,
'#sk37': a ).
thf('#sk39_type',type,
'#sk39': a ).
thf('#sk35_type',type,
'#sk35': a ).
thf('#sk6_type',type,
'#sk6': a > $o ).
thf('#sk3889_type',type,
'#sk3889': a > a > $o ).
thf('#sk3_type',type,
'#sk3': a > $o ).
thf(cINDISCRETE_TOPOLOGY_pme,conjecture,
( ! [Y: a > $o,Z: a > $o,S: a > $o] :
( ( ( S
= ( ^ [Xx: a] :
( ( Z @ Xx )
& ( Y @ Xx ) ) ) )
& ( ( Z
= ( ^ [Xy: a] : $true ) )
| ( Z
= ( ^ [Xy: a] : $false ) ) )
& ( ( Y
= ( ^ [Xy: a] : $true ) )
| ( Y
= ( ^ [Xy: a] : $false ) ) ) )
=> ( ( S
= ( ^ [Xy: a] : $true ) )
| ( S
= ( ^ [Xy: a] : $false ) ) ) )
& ! [K: ( a > $o ) > $o,R: a > $o] :
( ( ( R
= ( ^ [Xx: a] :
? [S: a > $o] :
( ( K @ S )
& ( S @ Xx ) ) ) )
& ! [Xx: a > $o] :
( ( K @ Xx )
=> ( ( Xx
= ( ^ [Xy: a] : $true ) )
| ( Xx
= ( ^ [Xy: a] : $false ) ) ) ) )
=> ( ( R
= ( ^ [Xy: a] : $true ) )
| ( R
= ( ^ [Xy: a] : $false ) ) ) )
& ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $true ) )
=> ( ( R
= ( ^ [Xy: a] : $true ) )
| ( R
= ( ^ [Xy: a] : $false ) ) ) )
& ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $false ) )
=> ( ( R
= ( ^ [Xy: a] : $true ) )
| ( R
= ( ^ [Xy: a] : $false ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [Y: a > $o,Z: a > $o,S: a > $o] :
( ( ( S
= ( ^ [Xx: a] :
( ( Z @ Xx )
& ( Y @ Xx ) ) ) )
& ( ( Z
= ( ^ [Xy: a] : $true ) )
| ( Z
= ( ^ [Xy: a] : $false ) ) )
& ( ( Y
= ( ^ [Xy: a] : $true ) )
| ( Y
= ( ^ [Xy: a] : $false ) ) ) )
=> ( ( S
= ( ^ [Xy: a] : $true ) )
| ( S
= ( ^ [Xy: a] : $false ) ) ) )
& ! [K: ( a > $o ) > $o,R: a > $o] :
( ( ( R
= ( ^ [Xx: a] :
? [S: a > $o] :
( ( K @ S )
& ( S @ Xx ) ) ) )
& ! [Xx: a > $o] :
( ( K @ Xx )
=> ( ( Xx
= ( ^ [Xy: a] : $true ) )
| ( Xx
= ( ^ [Xy: a] : $false ) ) ) ) )
=> ( ( R
= ( ^ [Xy: a] : $true ) )
| ( R
= ( ^ [Xy: a] : $false ) ) ) )
& ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $true ) )
=> ( ( R
= ( ^ [Xy: a] : $true ) )
| ( R
= ( ^ [Xy: a] : $false ) ) ) )
& ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $false ) )
=> ( ( R
= ( ^ [Xy: a] : $true ) )
| ( R
= ( ^ [Xy: a] : $false ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cINDISCRETE_TOPOLOGY_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a > $o] :
( ( ( Y2
= ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y0 @ Y3 ) ) ) )
& ( ( Y1
= ( ^ [Y3: a] : $true ) )
| ( Y1
= ( ^ [Y3: a] : $false ) ) )
& ( ( Y0
= ( ^ [Y3: a] : $true ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $true ) )
=> ( ( Y0
= ( ^ [Y1: a] : $true ) )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( Y0
= ( ^ [Y1: a] : $true ) )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a > $o] :
( ( ( Y2
= ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y0 @ Y3 ) ) ) )
& ( ( Y1
= ( ^ [Y3: a] : $true ) )
| ( Y1
= ( ^ [Y3: a] : $false ) ) )
& ( ( Y0
= ( ^ [Y3: a] : $true ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a > $o] :
( ( ( Y2
= ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y0 @ Y3 ) ) ) )
& ( ( Y1
= ( ^ [Y3: a] : $true ) )
| ( Y1
= ( ^ [Y3: a] : $false ) ) )
& ( ( Y0
= ( ^ [Y3: a] : $true ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ( Y0 @ Y2 )
& ( '#sk1' @ Y2 ) ) ) )
& ( ( Y0
= ( ^ [Y2: a] : $true ) )
| ( Y0
= ( ^ [Y2: a] : $false ) ) )
& ( ( '#sk1'
= ( ^ [Y2: a] : $true ) )
| ( '#sk1'
= ( ^ [Y2: a] : $false ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( Y0
= ( ^ [Y1: a] :
( ( '#sk2' @ Y1 )
& ( '#sk1' @ Y1 ) ) ) )
& ( ( '#sk2'
= ( ^ [Y1: a] : $true ) )
| ( '#sk2'
= ( ^ [Y1: a] : $false ) ) )
& ( ( '#sk1'
= ( ^ [Y1: a] : $true ) )
| ( '#sk1'
= ( ^ [Y1: a] : $false ) ) ) )
=> ( ( Y0
= ( ^ [Y1: a] : $true ) )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) ) )
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ~ ( ( ( '#sk3'
= ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) ) )
& ( ( '#sk2'
= ( ^ [Y0: a] : $true ) )
| ( '#sk2'
= ( ^ [Y0: a] : $false ) ) )
& ( ( '#sk1'
= ( ^ [Y0: a] : $true ) )
| ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) )
=> ( ( '#sk3'
= ( ^ [Y0: a] : $true ) )
| ( '#sk3'
= ( ^ [Y0: a] : $false ) ) ) )
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
( ~ ( ( '#sk3'
= ( ^ [Y0: a] : $true ) )
| ( '#sk3'
= ( ^ [Y0: a] : $false ) ) )
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl12,plain,
( ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( Y0
= ( ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( '#sk5' @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( '#sk5' @ Y1 )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) )
=> ( ( Y0
= ( ^ [Y1: a] : $true ) )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl20,plain,
( ~ ( ( ( '#sk6'
= ( ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk5' @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( '#sk5' @ Y0 )
=> ( ( Y0
= ( ^ [Y1: a] : $true ) )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) ) ) )
=> ( ( '#sk6'
= ( ^ [Y0: a] : $true ) )
| ( '#sk6'
= ( ^ [Y0: a] : $false ) ) ) )
| '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl26,plain,
( ~ ( ( '#sk6'
= ( ^ [Y0: a] : $true ) )
| ( '#sk6'
= ( ^ [Y0: a] : $false ) ) )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl31,plain,
( ( '#sk6'
!= ( ^ [Y0: a] : $true ) )
| '#form4' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl38,plain,
( ( '#sk6'
!= ( ^ [Y0: a] : $true ) )
| '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl50,plain,
( ~ ( '#sk6' @ '#sk36' )
| '#form4' ),
inference(neg_ext,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl7_001,plain,
( ~ ( ( '#sk3'
= ( ^ [Y0: a] : $true ) )
| ( '#sk3'
= ( ^ [Y0: a] : $false ) ) )
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11_002,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl13,plain,
( ~ '#form4'
| ~ ( ( '#sk3'
= ( ^ [Y0: a] : $true ) )
| ( '#sk3'
= ( ^ [Y0: a] : $false ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl7,zip_derived_cl11]) ).
thf(zip_derived_cl19,plain,
( ( '#sk3'
!= ( ^ [Y0: a] : $false ) )
| ~ '#form4' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
( ( '#sk3'
!= ( ^ [Y0: a] : $false ) )
| ~ '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl49,plain,
( ( '#sk3' @ '#sk35' )
| ~ '#form4' ),
inference(neg_ext,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl6,plain,
( ( ( '#sk3'
= ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) ) )
& ( ( '#sk2'
= ( ^ [Y0: a] : $true ) )
| ( '#sk2'
= ( ^ [Y0: a] : $false ) ) )
& ( ( '#sk1'
= ( ^ [Y0: a] : $true ) )
| ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ) )
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
( ( '#sk3'
= ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14,plain,
( ( '#sk3'
= ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl11_003,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl15,plain,
( ~ '#form4'
| ( '#sk3'
= ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).
thf(zip_derived_cl57,plain,
! [X1: a] :
( ( ( '#sk3' @ X1 )
= ( ^ [Y0: a] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) )
@ X1 ) )
| ~ '#form4' ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl58,plain,
! [X1: a] :
( ( ( '#sk3' @ X1 )
= ( ( '#sk2' @ X1 )
& ( '#sk1' @ X1 ) ) )
| ~ '#form4' ),
inference(ho_norm,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl65,plain,
! [X1: a] :
( ~ ( '#sk3' @ X1 )
| ( ( '#sk2' @ X1 )
& ( '#sk1' @ X1 ) )
| ~ '#form4' ),
inference(eq_elim,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl282,plain,
! [X1: a] :
( ( '#sk2' @ X1 )
| ~ '#form4'
| ~ ( '#sk3' @ X1 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl286,plain,
( ~ '#form4'
| ~ '#form4'
| ( '#sk2' @ '#sk35' ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl282]) ).
thf(zip_derived_cl292,plain,
( ( '#sk2' @ '#sk35' )
| ~ '#form4' ),
inference(simplify,[status(thm)],[zip_derived_cl286]) ).
thf(zip_derived_cl9,plain,
( ( '#sk2'
= ( ^ [Y0: a] : $true ) )
| ( '#sk2'
= ( ^ [Y0: a] : $false ) )
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11_004,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl16,plain,
( ~ '#form4'
| ( '#sk2'
= ( ^ [Y0: a] : $true ) )
| ( '#sk2'
= ( ^ [Y0: a] : $false ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl9,zip_derived_cl11]) ).
thf(zip_derived_cl21,plain,
( ( '#sk2'
= ( ^ [Y0: a] : $true ) )
| ( '#sk2'
= ( ^ [Y0: a] : $false ) )
| ~ '#form4' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl27,plain,
( ( '#sk2'
= ( ^ [Y0: a] : $true ) )
| ( '#sk2'
= ( ^ [Y0: a] : $false ) )
| ~ '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl54,plain,
! [X1: a] :
( ( ( '#sk2' @ X1 )
= ( ^ [Y0: a] : $false
@ X1 ) )
| ~ '#form4'
| ( '#sk2'
= ( ^ [Y0: a] : $true ) ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl55,plain,
! [X1: a] :
( ~ ( '#sk2' @ X1 )
| ~ '#form4'
| ( '#sk2'
= ( ^ [Y0: a] : $true ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl298,plain,
( ~ '#form4'
| ( '#sk2'
= ( ^ [Y0: a] : $true ) )
| ~ '#form4' ),
inference('sup-',[status(thm)],[zip_derived_cl292,zip_derived_cl55]) ).
thf(zip_derived_cl307,plain,
( ( '#sk2'
= ( ^ [Y0: a] : $true ) )
| ~ '#form4' ),
inference(simplify,[status(thm)],[zip_derived_cl298]) ).
thf(zip_derived_cl330,plain,
! [X1: a] :
( ( ( '#sk2' @ X1 )
= ( ^ [Y0: a] : $true
@ X1 ) )
| ~ '#form4' ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl307]) ).
thf(zip_derived_cl331,plain,
! [X1: a] :
( ( '#sk2' @ X1 )
| ~ '#form4' ),
inference(ho_norm,[status(thm)],[zip_derived_cl330]) ).
thf(zip_derived_cl10,plain,
( ( '#sk1'
= ( ^ [Y0: a] : $true ) )
| ( '#sk1'
= ( ^ [Y0: a] : $false ) )
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11_005,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ( Y2
= ( ^ [Y3: a] : $true ) )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) ) ) )
=> ( ( Y1
= ( ^ [Y2: a] : $true ) )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl17,plain,
( ~ '#form4'
| ( '#sk1'
= ( ^ [Y0: a] : $true ) )
| ( '#sk1'
= ( ^ [Y0: a] : $false ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl10,zip_derived_cl11]) ).
thf(zip_derived_cl22,plain,
( ( '#sk1'
= ( ^ [Y0: a] : $true ) )
| ( '#sk1'
= ( ^ [Y0: a] : $false ) )
| ~ '#form4' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl28,plain,
( ( '#sk1'
= ( ^ [Y0: a] : $true ) )
| ( '#sk1'
= ( ^ [Y0: a] : $false ) )
| ~ '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl24_006,plain,
( ( '#sk3'
!= ( ^ [Y0: a] : $false ) )
| ~ '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl72,plain,
( ( '#sk3' != '#sk1' )
| ~ '#form4'
| ( '#sk1'
= ( ^ [Y0: a] : $true ) )
| ~ '#form4' ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl24]) ).
thf(zip_derived_cl76,plain,
( ( '#sk1'
= ( ^ [Y0: a] : $true ) )
| ~ '#form4'
| ( '#sk3' != '#sk1' ) ),
inference(simplify,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl18,plain,
( ( '#sk3'
!= ( ^ [Y0: a] : $true ) )
| ~ '#form4' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl23,plain,
( ( '#sk3'
!= ( ^ [Y0: a] : $true ) )
| ~ '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl78,plain,
( ( '#sk3' != '#sk1' )
| ( '#sk3' != '#sk1' )
| ~ '#form4'
| ~ '#form4' ),
inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl23]) ).
thf(zip_derived_cl81,plain,
( ~ '#form4'
| ( '#sk3' != '#sk1' ) ),
inference(simplify,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl82,plain,
( ~ '#form4'
| ( ( '#sk3' @ '#sk39' )
!= ( '#sk1' @ '#sk39' ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl83,plain,
( ( '#sk3' @ '#sk39' )
| ( '#sk1' @ '#sk39' )
| ~ '#form4' ),
inference(eq_elim,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl58_007,plain,
! [X1: a] :
( ( ( '#sk3' @ X1 )
= ( ( '#sk2' @ X1 )
& ( '#sk1' @ X1 ) ) )
| ~ '#form4' ),
inference(ho_norm,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl202,plain,
( ( ( '#sk3' @ '#sk39' )
= ( ( '#sk2' @ '#sk39' )
& $true ) )
| ~ '#form4'
| ( '#sk3' @ '#sk39' )
| ~ '#form4' ),
inference('sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl58]) ).
thf(zip_derived_cl216,plain,
( ( '#sk3' @ '#sk39' )
| ~ '#form4'
| ( ( '#sk3' @ '#sk39' )
= ( ( '#sk2' @ '#sk39' )
& $true ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl202]) ).
thf(zip_derived_cl217,plain,
( ( '#sk3' @ '#sk39' )
| ~ '#form4'
| ( ( '#sk3' @ '#sk39' )
= ( '#sk2' @ '#sk39' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl216]) ).
thf(zip_derived_cl218,plain,
( ( '#sk3' @ '#sk39' )
| ~ '#form4'
| ~ ( '#sk2' @ '#sk39' ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl376,plain,
( ~ '#form4'
| ~ '#form4'
| ( '#sk3' @ '#sk39' ) ),
inference('sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl218]) ).
thf(zip_derived_cl385,plain,
( ( '#sk3' @ '#sk39' )
| ~ '#form4' ),
inference(simplify,[status(thm)],[zip_derived_cl376]) ).
thf(zip_derived_cl83_008,plain,
( ( '#sk3' @ '#sk39' )
| ( '#sk1' @ '#sk39' )
| ~ '#form4' ),
inference(eq_elim,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl283,plain,
! [X1: a] :
( ( '#sk1' @ X1 )
| ~ '#form4'
| ~ ( '#sk3' @ X1 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl314,plain,
( ~ '#form4'
| ( '#sk1' @ '#sk39' )
| ~ '#form4'
| ( '#sk1' @ '#sk39' ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl283]) ).
thf(zip_derived_cl320,plain,
( ( '#sk1' @ '#sk39' )
| ~ '#form4' ),
inference(simplify,[status(thm)],[zip_derived_cl314]) ).
thf(zip_derived_cl82_009,plain,
( ~ '#form4'
| ( ( '#sk3' @ '#sk39' )
!= ( '#sk1' @ '#sk39' ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl334,plain,
( ~ ( '#sk3' @ '#sk39' )
| ~ '#form4'
| ~ '#form4' ),
inference('sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl82]) ).
thf(zip_derived_cl342,plain,
( ~ '#form4'
| ~ ( '#sk3' @ '#sk39' ) ),
inference(simplify,[status(thm)],[zip_derived_cl334]) ).
thf(zip_derived_cl422,plain,
~ '#form4',
inference(clc,[status(thm)],[zip_derived_cl385,zip_derived_cl342]) ).
thf(zip_derived_cl427,plain,
~ ( '#sk6' @ '#sk36' ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl422]) ).
thf(zip_derived_cl32,plain,
( ( '#sk6'
!= ( ^ [Y0: a] : $false ) )
| '#form4' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl39,plain,
( ( '#sk6'
!= ( ^ [Y0: a] : $false ) )
| '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl51,plain,
( ( '#sk6' @ '#sk37' )
| '#form4' ),
inference(neg_ext,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl422_010,plain,
~ '#form4',
inference(clc,[status(thm)],[zip_derived_cl385,zip_derived_cl342]) ).
thf(zip_derived_cl428,plain,
'#sk6' @ '#sk37',
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl422]) ).
thf(zip_derived_cl25,plain,
( ( ( '#sk6'
= ( ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk5' @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( '#sk5' @ Y0 )
=> ( ( Y0
= ( ^ [Y1: a] : $true ) )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl29,plain,
( ( '#sk6'
= ( ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk5' @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl33,plain,
( ( '#sk6'
= ( ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk5' @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
| '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl85,plain,
! [X1: a] :
( ( ( '#sk6' @ X1 )
= ( ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk5' @ Y1 )
& ( Y1 @ Y0 ) ) )
@ X1 ) )
| '#form4' ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl86,plain,
! [X1: a] :
( ( ( '#sk6' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( '#sk5' @ Y0 )
& ( Y0 @ X1 ) ) ) )
| '#form4' ),
inference(ho_norm,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl422_011,plain,
~ '#form4',
inference(clc,[status(thm)],[zip_derived_cl385,zip_derived_cl342]) ).
thf(zip_derived_cl429,plain,
! [X1: a] :
( ( '#sk6' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( '#sk5' @ Y0 )
& ( Y0 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl422]) ).
thf(zip_derived_cl482,plain,
! [X1: a] :
( ~ ( '#sk6' @ X1 )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk5' @ Y0 )
& ( Y0 @ X1 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl429]) ).
thf(zip_derived_cl1557,plain,
! [X1: a] :
( ( ( '#sk5' @ ( '#sk3889' @ X1 ) )
& ( '#sk3889' @ X1 @ X1 ) )
| ~ ( '#sk6' @ X1 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl482]) ).
thf(zip_derived_cl1559,plain,
! [X1: a] :
( ( '#sk3889' @ X1 @ X1 )
| ~ ( '#sk6' @ X1 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1557]) ).
thf(zip_derived_cl30,plain,
( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk5' @ Y0 )
=> ( ( Y0
= ( ^ [Y1: a] : $true ) )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl34,plain,
! [X2: a > $o] :
( ( ( '#sk5' @ X2 )
=> ( ( X2
= ( ^ [Y0: a] : $true ) )
| ( X2
= ( ^ [Y0: a] : $false ) ) ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl40,plain,
! [X2: a > $o] :
( ~ ( '#sk5' @ X2 )
| ( X2
= ( ^ [Y0: a] : $true ) )
| ( X2
= ( ^ [Y0: a] : $false ) )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl41,plain,
! [X2: a > $o] :
( ( X2
= ( ^ [Y0: a] : $true ) )
| ( X2
= ( ^ [Y0: a] : $false ) )
| '#form4'
| ~ ( '#sk5' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl42,plain,
! [X2: a > $o] :
( ( X2
= ( ^ [Y0: a] : $true ) )
| ( X2
= ( ^ [Y0: a] : $false ) )
| '#form4'
| ~ ( '#sk5' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl422_012,plain,
~ '#form4',
inference(clc,[status(thm)],[zip_derived_cl385,zip_derived_cl342]) ).
thf(zip_derived_cl426,plain,
! [X2: a > $o] :
( ( X2
= ( ^ [Y0: a] : $true ) )
| ( X2
= ( ^ [Y0: a] : $false ) )
| ~ ( '#sk5' @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl422]) ).
thf(zip_derived_cl428_013,plain,
'#sk6' @ '#sk37',
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl422]) ).
thf(zip_derived_cl429_014,plain,
! [X1: a] :
( ( '#sk6' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( '#sk5' @ Y0 )
& ( Y0 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl422]) ).
thf(zip_derived_cl481,plain,
! [X1: a] :
( ( '#sk6' @ X1 )
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk5' @ Y0 )
& ( Y0 @ X1 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl429]) ).
thf(zip_derived_cl1407,plain,
! [X1: a,X3: a > $o] :
( ~ ( ( '#sk5' @ X3 )
& ( X3 @ X1 ) )
| ( '#sk6' @ X1 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl481]) ).
thf(zip_derived_cl1411,plain,
! [X1: a,X3: a > $o] :
( ~ ( '#sk5' @ X3 )
| ~ ( X3 @ X1 )
| ( '#sk6' @ X1 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1407]) ).
thf(zip_derived_cl1412,plain,
! [X0: a] :
( ( '#sk6' @ X0 )
| ~ ( '#sk5'
@ ^ [Y0: a] :
( '#sk6'
@ ( ^ [Y1: a] : '#sk37'
@ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl1411]) ).
thf(zip_derived_cl1417,plain,
! [X0: a] :
( ( '#sk6' @ X0 )
| ~ ( '#sk5'
@ ^ [Y0: a] : ( '#sk6' @ '#sk37' ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1412]) ).
thf(zip_derived_cl428_015,plain,
'#sk6' @ '#sk37',
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl422]) ).
thf(zip_derived_cl1418,plain,
! [X0: a] :
( ( '#sk6' @ X0 )
| ~ ( '#sk5'
@ ^ [Y0: a] : $true ) ),
inference(demod,[status(thm)],[zip_derived_cl1417,zip_derived_cl428]) ).
thf(zip_derived_cl1421,plain,
! [X0: a > $o,X1: a] :
( ~ ( '#sk5' @ X0 )
| ~ ( '#sk5' @ X0 )
| ( X0
= ( ^ [Y0: a] : $false ) )
| ( '#sk6' @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl1418]) ).
thf(zip_derived_cl1428,plain,
! [X0: a > $o,X1: a] :
( ( '#sk6' @ X1 )
| ( X0
= ( ^ [Y0: a] : $false ) )
| ~ ( '#sk5' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1421]) ).
thf(zip_derived_cl1491,plain,
! [X0: a > $o,X1: a,X2: a] :
( ( ( X0 @ X2 )
= ( ^ [Y0: a] : $false
@ X2 ) )
| ~ ( '#sk5' @ X0 )
| ( '#sk6' @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl1428]) ).
thf(zip_derived_cl1492,plain,
! [X0: a > $o,X1: a,X2: a] :
( ~ ( X0 @ X2 )
| ~ ( '#sk5' @ X0 )
| ( '#sk6' @ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1491]) ).
thf(zip_derived_cl1662,plain,
! [X0: a,X1: a,X2: a] :
( ~ ( '#sk6'
@ ( ^ [Y0: a] :
( ^ [Y1: a] : X0
@ Y0 )
@ ( ^ [Y0: a] : X0
@ X1 ) ) )
| ( '#sk6' @ X2 )
| ~ ( '#sk5'
@ ^ [Y0: a] :
( '#sk3889'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : X0
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1559,zip_derived_cl1492]) ).
thf(zip_derived_cl1684,plain,
! [X0: a,X2: a] :
( ~ ( '#sk6' @ X0 )
| ( '#sk6' @ X2 )
| ~ ( '#sk5' @ ( '#sk3889' @ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1662]) ).
thf(zip_derived_cl1558,plain,
! [X1: a] :
( ( '#sk5' @ ( '#sk3889' @ X1 ) )
| ~ ( '#sk6' @ X1 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1557]) ).
thf(zip_derived_cl1692,plain,
! [X0: a,X2: a] :
( ( '#sk6' @ X2 )
| ~ ( '#sk6' @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1684,zip_derived_cl1558]) ).
thf(zip_derived_cl1693,plain,
! [X0: a] : ( '#sk6' @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl1692]) ).
thf(zip_derived_cl1707,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl427,zip_derived_cl1693]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.28 % Problem : SEV261^5 : TPTP v9.2.0. Released v4.0.0.
% 0.09/0.30 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BXjStB7tm1 true
% 0.09/0.53 % Computer : n028.cluster.edu
% 0.09/0.53 % Model : x86_64 x86_64
% 0.09/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.53 % Memory : 8042.1875MB
% 0.09/0.53 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.53 % CPULimit : 300
% 0.09/0.53 % WCLimit : 300
% 0.09/0.53 % DateTime : Wed Oct 1 15:40:08 EDT 2025
% 0.09/0.53 % CPUTime :
% 0.09/0.53 % Running portfolio for 300 s
% 0.09/0.53 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.53 % Number of cores: 8
% 0.09/0.53 % Python version: Python 3.6.8
% 0.09/0.53 % Running in HO mode
% 0.26/0.94 % Total configuration time : 828
% 0.26/0.94 % Estimated wc time : 1656
% 0.26/0.94 % Estimated cpu time (8 cpus) : 207.0
% 0.27/1.10 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.27/1.15 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.25/1.19 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.29/1.25 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.29/1.32 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.29/1.33 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.29/1.34 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.32/1.36 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 3.29/1.95 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 17.07/5.28 % Solved by lams/30_sp5.sh.
% 17.07/5.28 % done 194 iterations in 3.772s
% 17.07/5.28 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.07/5.28 % SZS output start Refutation
% See solution above
% 17.07/5.29
% 17.07/5.29
% 17.07/5.29 % Terminating...
% 17.08/5.46 % Runner terminated.
% 17.08/5.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------