TSTP Solution File: SEV129^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV129^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kUyhjER9h4 true
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 19:59:42 EDT 2023
% Result : Theorem 15.82s 2.65s
% Output : Refutation 15.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 13
% Syntax : Number of formulae : 123 ( 7 unt; 12 typ; 0 def)
% Number of atoms : 812 ( 18 equ; 1 cnn)
% Maximal formula atoms : 20 ( 7 avg)
% Number of connectives : 2675 ( 106 ~; 122 |; 184 &;1730 @)
% ( 0 <=>; 179 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 11 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 327 ( 327 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 11 usr; 6 con; 0-5 aty)
% ( 288 !!; 66 ??; 0 @@+; 0 @@-)
% Number of variables : 547 ( 392 ^; 149 !; 6 ?; 547 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk2_type',type,
'#sk2': a ).
thf('#sk179_type',type,
'#sk179': ( a > a > $o ) > a > a > $o ).
thf('#sk29_type',type,
'#sk29': ( a > a > $o ) > a ).
thf('#sk84_type',type,
'#sk84': ( a > a > $o ) > a ).
thf('#sk108_type',type,
'#sk108': ( a > a > $o ) > a ).
thf('#sk3_type',type,
'#sk3': a ).
thf('#sk1_type',type,
'#sk1': ( a > a > $o ) > $o ).
thf('#sk40_type',type,
'#sk40': ( a > a > $o ) > a ).
thf('#sk53_type',type,
'#sk53': ( a > a > $o ) > a ).
thf('#sk989_type',type,
'#sk989': a > a > ( a > a > $o ) > a > a > $o ).
thf('#sk4_type',type,
'#sk4': a > a > $o ).
thf(cTHM253_A_pme,conjecture,
! [S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
( ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xy0 @ Xz )
& ( Xp1 @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xz ) )
& ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ( S @ R )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xy0 ) ) )
=> ( Xp1 @ Xx @ Xy ) )
=> ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xy0 @ Xz )
& ( Xp1 @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xz ) )
& ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ? [Q: a > a > $o] :
( ( S @ Q )
& ( R
= ( ^ [Xx1: a,Xy1: a] :
! [Xp10: a > a > $o] :
( ( ! [Xx2: a,Xy2: a,Xz: a] :
( ( ( Xp10 @ Xy2 @ Xz )
& ( Xp10 @ Xx2 @ Xy2 ) )
=> ( Xp10 @ Xx2 @ Xz ) )
& ! [Xx2: a,Xy2: a] :
( ( Q @ Xx2 @ Xy2 )
=> ( Xp10 @ Xx2 @ Xy2 ) ) )
=> ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xy0 ) ) )
=> ( Xp1 @ Xx @ Xy ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
( ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xy0 @ Xz )
& ( Xp1 @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xz ) )
& ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ( S @ R )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xy0 ) ) )
=> ( Xp1 @ Xx @ Xy ) )
=> ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xy0 @ Xz )
& ( Xp1 @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xz ) )
& ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ? [Q: a > a > $o] :
( ( S @ Q )
& ( R
= ( ^ [Xx1: a,Xy1: a] :
! [Xp10: a > a > $o] :
( ( ! [Xx2: a,Xy2: a,Xz: a] :
( ( ( Xp10 @ Xy2 @ Xz )
& ( Xp10 @ Xx2 @ Xy2 ) )
=> ( Xp10 @ Xx2 @ Xz ) )
& ! [Xx2: a,Xy2: a] :
( ( Q @ Xx2 @ Xy2 )
=> ( Xp10 @ Xx2 @ Xy2 ) ) )
=> ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xy0 ) ) )
=> ( Xp1 @ Xx @ Xy ) ) ),
inference('cnf.neg',[status(esa)],[cTHM253_A_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: ( a > a > $o ) > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( !!
@ ^ [Y3: a > a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ??
@ ^ [Y6: a > a > $o] :
( ( Y0 @ Y6 )
& ( Y6 @ Y4 @ Y5 ) ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y3: a > a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ??
@ ^ [Y6: a > a > $o] :
( ( ??
@ ^ [Y7: a > a > $o] :
( ( Y0 @ Y7 )
& ( Y6
= ( ^ [Y8: a,Y9: a] :
( !!
@ ^ [Y10: a > a > $o] :
( ( ( !!
@ ^ [Y11: a] :
( !!
@ ^ [Y12: a] :
( !!
@ ^ [Y13: a] :
( ( ( Y10 @ Y12 @ Y13 )
& ( Y10 @ Y11 @ Y12 ) )
=> ( Y10 @ Y11 @ Y13 ) ) ) ) )
& ( !!
@ ^ [Y11: a] :
( !!
@ ^ [Y12: a] :
( ( Y7 @ Y11 @ Y12 )
=> ( Y10 @ Y11 @ Y12 ) ) ) ) )
=> ( Y10 @ Y8 @ Y9 ) ) ) ) ) ) )
& ( Y6 @ Y4 @ Y5 ) ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ??
@ ^ [Y5: a > a > $o] :
( ( '#sk1' @ Y5 )
& ( Y5 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ??
@ ^ [Y5: a > a > $o] :
( ( ??
@ ^ [Y6: a > a > $o] :
( ( '#sk1' @ Y6 )
& ( Y5
= ( ^ [Y7: a,Y8: a] :
( !!
@ ^ [Y9: a > a > $o] :
( ( ( !!
@ ^ [Y10: a] :
( !!
@ ^ [Y11: a] :
( !!
@ ^ [Y12: a] :
( ( ( Y9 @ Y11 @ Y12 )
& ( Y9 @ Y10 @ Y11 ) )
=> ( Y9 @ Y10 @ Y12 ) ) ) ) )
& ( !!
@ ^ [Y10: a] :
( !!
@ ^ [Y11: a] :
( ( Y6 @ Y10 @ Y11 )
=> ( Y9 @ Y10 @ Y11 ) ) ) ) )
=> ( Y9 @ Y7 @ Y8 ) ) ) ) ) ) )
& ( Y5 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a] :
( ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ??
@ ^ [Y4: a > a > $o] :
( ( '#sk1' @ Y4 )
& ( Y4 @ Y2 @ Y3 ) ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ '#sk2' @ Y0 ) ) )
=> ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ??
@ ^ [Y4: a > a > $o] :
( ( ??
@ ^ [Y5: a > a > $o] :
( ( '#sk1' @ Y5 )
& ( Y4
= ( ^ [Y6: a,Y7: a] :
( !!
@ ^ [Y8: a > a > $o] :
( ( ( !!
@ ^ [Y9: a] :
( !!
@ ^ [Y10: a] :
( !!
@ ^ [Y11: a] :
( ( ( Y8 @ Y10 @ Y11 )
& ( Y8 @ Y9 @ Y10 ) )
=> ( Y8 @ Y9 @ Y11 ) ) ) ) )
& ( !!
@ ^ [Y9: a] :
( !!
@ ^ [Y10: a] :
( ( Y5 @ Y9 @ Y10 )
=> ( Y8 @ Y9 @ Y10 ) ) ) ) )
=> ( Y8 @ Y6 @ Y7 ) ) ) ) ) ) )
& ( Y4 @ Y2 @ Y3 ) ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ '#sk2' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ??
@ ^ [Y3: a > a > $o] :
( ( '#sk1' @ Y3 )
& ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) )
=> ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ??
@ ^ [Y3: a > a > $o] :
( ( ??
@ ^ [Y4: a > a > $o] :
( ( '#sk1' @ Y4 )
& ( Y3
= ( ^ [Y5: a,Y6: a] :
( !!
@ ^ [Y7: a > a > $o] :
( ( ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( !!
@ ^ [Y10: a] :
( ( ( Y7 @ Y9 @ Y10 )
& ( Y7 @ Y8 @ Y9 ) )
=> ( Y7 @ Y8 @ Y10 ) ) ) ) )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( Y4 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) ) ) ) ) )
& ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ??
@ ^ [Y3: a > a > $o] :
( ( '#sk1' @ Y3 )
& ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
! [X2: a > a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: a > a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
| ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( X2 @ Y0 @ Y1 )
& ( X2 @ ( '#sk29' @ X2 ) @ Y0 ) )
=> ( X2 @ ( '#sk29' @ X2 ) @ Y1 ) ) ) )
| ( X2 @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ( X2 @ ( '#sk40' @ X2 ) @ Y0 )
& ( X2 @ ( '#sk29' @ X2 ) @ ( '#sk40' @ X2 ) ) )
=> ( X2 @ ( '#sk29' @ X2 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl21,plain,
! [X2: a > a > $o] :
( ~ ( ( ( X2 @ ( '#sk40' @ X2 ) @ ( '#sk53' @ X2 ) )
& ( X2 @ ( '#sk29' @ X2 ) @ ( '#sk40' @ X2 ) ) )
=> ( X2 @ ( '#sk29' @ X2 ) @ ( '#sk53' @ X2 ) ) )
| ( X2 @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl25,plain,
! [X2: a > a > $o] :
( ~ ( X2 @ ( '#sk29' @ X2 ) @ ( '#sk53' @ X2 ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl31,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ ( '#sk84' @ X2 ) @ Y0 ) ) )
=> ( X2 @ ( '#sk84' @ X2 ) @ Y0 ) ) )
| ( X2 @ '#sk2' @ '#sk3' )
| ~ ( X2 @ ( '#sk29' @ X2 ) @ ( '#sk53' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl36,plain,
! [X2: a > a > $o] :
( ~ ( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ ( '#sk84' @ X2 ) @ ( '#sk108' @ X2 ) ) ) )
=> ( X2 @ ( '#sk84' @ X2 ) @ ( '#sk108' @ X2 ) ) )
| ~ ( X2 @ ( '#sk29' @ X2 ) @ ( '#sk53' @ X2 ) )
| ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl41,plain,
! [X2: a > a > $o] :
( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ ( '#sk84' @ X2 ) @ ( '#sk108' @ X2 ) ) ) )
| ( X2 @ '#sk2' @ '#sk3' )
| ~ ( X2 @ ( '#sk29' @ X2 ) @ ( '#sk53' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl51,plain,
! [X2: a > a > $o] :
( ( ( '#sk1' @ ( '#sk179' @ X2 ) )
& ( '#sk179' @ X2 @ ( '#sk84' @ X2 ) @ ( '#sk108' @ X2 ) ) )
| ~ ( X2 @ ( '#sk29' @ X2 ) @ ( '#sk53' @ X2 ) )
| ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl56,plain,
! [X2: a > a > $o] :
( ( '#sk179' @ X2 @ ( '#sk84' @ X2 ) @ ( '#sk108' @ X2 ) )
| ( X2 @ '#sk2' @ '#sk3' )
| ~ ( X2 @ ( '#sk29' @ X2 ) @ ( '#sk53' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ??
@ ^ [Y3: a > a > $o] :
( ( ??
@ ^ [Y4: a > a > $o] :
( ( '#sk1' @ Y4 )
& ( Y3
= ( ^ [Y5: a,Y6: a] :
( !!
@ ^ [Y7: a > a > $o] :
( ( ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( !!
@ ^ [Y10: a] :
( ( ( Y7 @ Y9 @ Y10 )
& ( Y7 @ Y8 @ Y9 ) )
=> ( Y7 @ Y8 @ Y10 ) ) ) ) )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( Y4 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) ) ) ) ) )
& ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( ??
@ ^ [Y3: a > a > $o] :
( ( '#sk1' @ Y3 )
& ( Y2
= ( ^ [Y4: a,Y5: a] :
( !!
@ ^ [Y6: a > a > $o] :
( ( ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( ( Y6 @ Y8 @ Y9 )
& ( Y6 @ Y7 @ Y8 ) )
=> ( Y6 @ Y7 @ Y9 ) ) ) ) )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) ) ) ) ) )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk4' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( ??
@ ^ [Y3: a > a > $o] :
( ( '#sk1' @ Y3 )
& ( Y2
= ( ^ [Y4: a,Y5: a] :
( !!
@ ^ [Y6: a > a > $o] :
( ( ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( ( Y6 @ Y8 @ Y9 )
& ( Y6 @ Y7 @ Y8 ) )
=> ( Y6 @ Y7 @ Y9 ) ) ) ) )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) ) ) ) ) )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( ??
@ ^ [Y3: a > a > $o] :
( ( '#sk1' @ Y3 )
& ( Y2
= ( ^ [Y4: a,Y5: a] :
( !!
@ ^ [Y6: a > a > $o] :
( ( ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( ( Y6 @ Y8 @ Y9 )
& ( Y6 @ Y7 @ Y8 ) )
=> ( Y6 @ Y7 @ Y9 ) ) ) ) )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) ) ) ) ) )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > a > $o] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y1
= ( ^ [Y3: a,Y4: a] :
( !!
@ ^ [Y5: a > a > $o] :
( ( ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( ( Y5 @ Y7 @ Y8 )
& ( Y5 @ Y6 @ Y7 ) )
=> ( Y5 @ Y6 @ Y8 ) ) ) ) )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( Y2 @ Y6 @ Y7 )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) ) ) ) ) )
& ( Y1 @ X2 @ Y0 ) ) )
=> ( '#sk4' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
! [X2: a,X4: a] :
( ( ??
@ ^ [Y0: a > a > $o] :
( ( ??
@ ^ [Y1: a > a > $o] :
( ( '#sk1' @ Y1 )
& ( Y0
= ( ^ [Y2: a,Y3: a] :
( !!
@ ^ [Y4: a > a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( Y0 @ X2 @ X4 ) ) )
=> ( '#sk4' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl23,plain,
! [X2: a,X4: a] :
( ~ ( ??
@ ^ [Y0: a > a > $o] :
( ( ??
@ ^ [Y1: a > a > $o] :
( ( '#sk1' @ Y1 )
& ( Y0
= ( ^ [Y2: a,Y3: a] :
( !!
@ ^ [Y4: a > a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( Y0 @ X2 @ X4 ) ) )
| ( '#sk4' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl27,plain,
! [X2: a,X4: a,X6: a > a > $o] :
( ~ ( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk1' @ Y0 )
& ( X6
= ( ^ [Y1: a,Y2: a] :
( !!
@ ^ [Y3: a > a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) ) ) )
& ( X6 @ X2 @ X4 ) )
| ( '#sk4' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl33,plain,
! [X2: a,X4: a,X6: a > a > $o] :
( ~ ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk1' @ Y0 )
& ( X6
= ( ^ [Y1: a,Y2: a] :
( !!
@ ^ [Y3: a > a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) ) ) )
| ~ ( X6 @ X2 @ X4 )
| ( '#sk4' @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl37,plain,
! [X2: a,X4: a,X6: a > a > $o,X8: a > a > $o] :
( ~ ( ( '#sk1' @ X8 )
& ( X6
= ( ^ [Y0: a,Y1: a] :
( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( X8 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) )
| ( '#sk4' @ X2 @ X4 )
| ~ ( X6 @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl43,plain,
! [X2: a,X4: a,X6: a > a > $o,X8: a > a > $o] :
( ~ ( '#sk1' @ X8 )
| ( X6
!= ( ^ [Y0: a,Y1: a] :
( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( X8 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) )
| ~ ( X6 @ X2 @ X4 )
| ( '#sk4' @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl52,plain,
! [X2: a,X4: a,X6: a > a > $o,X8: a > a > $o] :
( ~ ( '#sk1' @ X8 )
| ( X6
!= ( ^ [Y0: a,Y1: a] :
( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( X8 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) )
| ~ ( X6 @ X2 @ X4 )
| ( '#sk4' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl74,plain,
! [X0: a,X1: a,X2: a > a > $o] :
( ( '#sk4' @ X1 @ X0 )
| ~ ( ^ [Y0: a,Y1: a] :
( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( X2 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X1
@ X0 )
| ~ ( '#sk1' @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl75,plain,
! [X0: a,X1: a,X2: a > a > $o] :
( ( '#sk4' @ X1 @ X0 )
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( X2 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X1 @ X0 ) ) )
| ~ ( '#sk1' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl262,plain,
! [X0: a,X1: a,X2: a > a > $o] :
( ~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk989' @ X0 @ X1 @ X2 @ Y1 @ Y2 )
& ( '#sk989' @ X0 @ X1 @ X2 @ Y0 @ Y1 ) )
=> ( '#sk989' @ X0 @ X1 @ X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( X2 @ Y0 @ Y1 )
=> ( '#sk989' @ X0 @ X1 @ X2 @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk989' @ X0 @ X1 @ X2 @ X1 @ X0 ) )
| ~ ( '#sk1' @ X2 )
| ( '#sk4' @ X1 @ X0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl264,plain,
! [X0: a,X1: a,X2: a > a > $o] :
( ~ ( '#sk989' @ X0 @ X1 @ X2 @ X1 @ X0 )
| ( '#sk4' @ X1 @ X0 )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl6_001,plain,
! [X2: a > a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk4' @ '#sk2' @ '#sk3' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
~ ( '#sk4' @ '#sk2' @ '#sk3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl127,plain,
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl11]) ).
thf(zip_derived_cl128,plain,
( (~)
@ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl129,plain,
~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl128]) ).
thf(zip_derived_cl130,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl131,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk4' @ Y0 @ Y1 )
& ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ Y0 ) )
=> ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ Y1 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl132,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk4' @ ( '#sk40' @ '#sk4' ) @ Y0 )
& ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk40' @ '#sk4' ) ) )
=> ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl133,plain,
( ~ ( ( ( '#sk4' @ ( '#sk40' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) )
& ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk40' @ '#sk4' ) ) )
=> ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl134,plain,
( ( ( '#sk4' @ ( '#sk40' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) )
& ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk40' @ '#sk4' ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl133]) ).
thf(zip_derived_cl137,plain,
( ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk40' @ '#sk4' ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl140,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ ( '#sk84' @ '#sk4' ) @ Y0 ) ) )
=> ( '#sk4' @ ( '#sk84' @ '#sk4' ) @ Y0 ) ) )
| ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk40' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl143,plain,
( ~ ( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) ) )
=> ( '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) )
| ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk40' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl140]) ).
thf(zip_derived_cl148,plain,
( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) ) )
| ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk40' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl143]) ).
thf(zip_derived_cl152,plain,
( ( ( '#sk1' @ ( '#sk179' @ '#sk4' ) )
& ( '#sk179' @ '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) )
| ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk40' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl157,plain,
( ( '#sk1' @ ( '#sk179' @ '#sk4' ) )
| ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk40' @ '#sk4' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl24,plain,
! [X2: a > a > $o] :
( ( ( X2 @ ( '#sk40' @ X2 ) @ ( '#sk53' @ X2 ) )
& ( X2 @ ( '#sk29' @ X2 ) @ ( '#sk40' @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl29,plain,
! [X2: a > a > $o] :
( ( X2 @ ( '#sk40' @ X2 ) @ ( '#sk53' @ X2 ) )
| ( X2 @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl34,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ ( '#sk84' @ X2 ) @ Y0 ) ) )
=> ( X2 @ ( '#sk84' @ X2 ) @ Y0 ) ) )
| ( X2 @ '#sk2' @ '#sk3' )
| ( X2 @ ( '#sk40' @ X2 ) @ ( '#sk53' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl39,plain,
! [X2: a > a > $o] :
( ~ ( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ ( '#sk84' @ X2 ) @ ( '#sk108' @ X2 ) ) ) )
=> ( X2 @ ( '#sk84' @ X2 ) @ ( '#sk108' @ X2 ) ) )
| ( X2 @ ( '#sk40' @ X2 ) @ ( '#sk53' @ X2 ) )
| ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl44,plain,
! [X2: a > a > $o] :
( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ ( '#sk84' @ X2 ) @ ( '#sk108' @ X2 ) ) ) )
| ( X2 @ '#sk2' @ '#sk3' )
| ( X2 @ ( '#sk40' @ X2 ) @ ( '#sk53' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl53,plain,
! [X2: a > a > $o] :
( ( ( '#sk1' @ ( '#sk179' @ X2 ) )
& ( '#sk179' @ X2 @ ( '#sk84' @ X2 ) @ ( '#sk108' @ X2 ) ) )
| ( X2 @ ( '#sk40' @ X2 ) @ ( '#sk53' @ X2 ) )
| ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl57,plain,
! [X2: a > a > $o] :
( ( '#sk1' @ ( '#sk179' @ X2 ) )
| ( X2 @ '#sk2' @ '#sk3' )
| ( X2 @ ( '#sk40' @ X2 ) @ ( '#sk53' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk4' @ Y0 @ Y1 )
& ( '#sk4' @ X2 @ Y0 ) )
=> ( '#sk4' @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( ( '#sk4' @ X4 @ Y0 )
& ( '#sk4' @ X2 @ X4 ) )
=> ( '#sk4' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl22,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk4' @ X4 @ X6 )
& ( '#sk4' @ X2 @ X4 ) )
=> ( '#sk4' @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl26,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( ( '#sk4' @ X4 @ X6 )
& ( '#sk4' @ X2 @ X4 ) )
| ( '#sk4' @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl32,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk4' @ X4 @ X6 )
| ~ ( '#sk4' @ X2 @ X4 )
| ( '#sk4' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl81,plain,
! [X0: a] :
( ( '#sk4' @ '#sk2' @ '#sk3' )
| ( '#sk1' @ ( '#sk179' @ '#sk4' ) )
| ( '#sk4' @ X0 @ ( '#sk53' @ '#sk4' ) )
| ~ ( '#sk4' @ X0 @ ( '#sk40' @ '#sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl32]) ).
thf(zip_derived_cl11_002,plain,
~ ( '#sk4' @ '#sk2' @ '#sk3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl111,plain,
! [X0: a] :
( ( '#sk1' @ ( '#sk179' @ '#sk4' ) )
| ( '#sk4' @ X0 @ ( '#sk53' @ '#sk4' ) )
| ~ ( '#sk4' @ X0 @ ( '#sk40' @ '#sk4' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl11]) ).
thf(zip_derived_cl167,plain,
( ( '#sk1' @ ( '#sk179' @ '#sk4' ) )
| ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) )
| ( '#sk1' @ ( '#sk179' @ '#sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl111]) ).
thf(zip_derived_cl171,plain,
( ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) )
| ( '#sk1' @ ( '#sk179' @ '#sk4' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl167]) ).
thf(zip_derived_cl135,plain,
( ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl133]) ).
thf(zip_derived_cl138,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ ( '#sk84' @ '#sk4' ) @ Y0 ) ) )
=> ( '#sk4' @ ( '#sk84' @ '#sk4' ) @ Y0 ) ) )
| ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl141,plain,
( ~ ( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) ) )
=> ( '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) )
| ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl138]) ).
thf(zip_derived_cl144,plain,
( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) ) )
| ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl141]) ).
thf(zip_derived_cl150,plain,
( ( ( '#sk1' @ ( '#sk179' @ '#sk4' ) )
& ( '#sk179' @ '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) )
| ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl153,plain,
( ( '#sk1' @ ( '#sk179' @ '#sk4' ) )
| ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl150]) ).
thf(zip_derived_cl174,plain,
'#sk1' @ ( '#sk179' @ '#sk4' ),
inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl153]) ).
thf(zip_derived_cl263,plain,
! [X0: a,X1: a,X2: a > a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk989' @ X0 @ X1 @ X2 @ Y1 @ Y2 )
& ( '#sk989' @ X0 @ X1 @ X2 @ Y0 @ Y1 ) )
=> ( '#sk989' @ X0 @ X1 @ X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( X2 @ Y0 @ Y1 )
=> ( '#sk989' @ X0 @ X1 @ X2 @ Y0 @ Y1 ) ) ) ) )
| ( '#sk4' @ X1 @ X0 )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl266,plain,
! [X0: a,X1: a,X2: a > a > $o] :
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( X2 @ Y0 @ Y1 )
=> ( '#sk989' @ X0 @ X1 @ X2 @ Y0 @ Y1 ) ) ) )
| ~ ( '#sk1' @ X2 )
| ( '#sk4' @ X1 @ X0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl263]) ).
thf(zip_derived_cl268,plain,
! [X0: a,X1: a,X2: a > a > $o,X4: a] :
( ( !!
@ ^ [Y0: a] :
( ( X2 @ X4 @ Y0 )
=> ( '#sk989' @ X0 @ X1 @ X2 @ X4 @ Y0 ) ) )
| ( '#sk4' @ X1 @ X0 )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl266]) ).
thf(zip_derived_cl270,plain,
! [X0: a,X1: a,X2: a > a > $o,X4: a,X6: a] :
( ( ( X2 @ X4 @ X6 )
=> ( '#sk989' @ X0 @ X1 @ X2 @ X4 @ X6 ) )
| ~ ( '#sk1' @ X2 )
| ( '#sk4' @ X1 @ X0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl268]) ).
thf(zip_derived_cl272,plain,
! [X0: a,X1: a,X2: a > a > $o,X4: a,X6: a] :
( ~ ( X2 @ X4 @ X6 )
| ( '#sk989' @ X0 @ X1 @ X2 @ X4 @ X6 )
| ( '#sk4' @ X1 @ X0 )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl270]) ).
thf(zip_derived_cl1017,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( '#sk4' @ X1 @ X0 )
| ( '#sk989' @ X0 @ X1 @ ( '#sk179' @ '#sk4' ) @ X3 @ X2 )
| ~ ( '#sk179' @ '#sk4' @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl272]) ).
thf(zip_derived_cl1155,plain,
! [X0: a,X1: a] :
( ~ ( '#sk1' @ ( '#sk179' @ '#sk4' ) )
| ( '#sk4' @ X1 @ X0 )
| ~ ( '#sk179' @ '#sk4' @ X1 @ X0 )
| ( '#sk4' @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl264,zip_derived_cl1017]) ).
thf(zip_derived_cl174_003,plain,
'#sk1' @ ( '#sk179' @ '#sk4' ),
inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl153]) ).
thf(zip_derived_cl1161,plain,
! [X0: a,X1: a] :
( ( '#sk4' @ X1 @ X0 )
| ~ ( '#sk179' @ '#sk4' @ X1 @ X0 )
| ( '#sk4' @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1155,zip_derived_cl174]) ).
thf(zip_derived_cl1162,plain,
! [X0: a,X1: a] :
( ~ ( '#sk179' @ '#sk4' @ X1 @ X0 )
| ( '#sk4' @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1161]) ).
thf(zip_derived_cl1190,plain,
( ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) )
| ( '#sk4' @ '#sk2' @ '#sk3' )
| ( '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl1162]) ).
thf(zip_derived_cl11_004,plain,
~ ( '#sk4' @ '#sk2' @ '#sk3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl1205,plain,
( ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) )
| ( '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1190,zip_derived_cl11]) ).
thf(zip_derived_cl145,plain,
( ~ ( '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) )
| ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl141]) ).
thf(zip_derived_cl1217,plain,
~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ),
inference(clc,[status(thm)],[zip_derived_cl1205,zip_derived_cl145]) ).
thf(zip_derived_cl1162_005,plain,
! [X0: a,X1: a] :
( ~ ( '#sk179' @ '#sk4' @ X1 @ X0 )
| ( '#sk4' @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1161]) ).
thf(zip_derived_cl158,plain,
( ( '#sk179' @ '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) )
| ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk40' @ '#sk4' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl1173,plain,
( ( '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) )
| ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk40' @ '#sk4' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1162,zip_derived_cl158]) ).
thf(zip_derived_cl149,plain,
( ~ ( '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) )
| ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk40' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl143]) ).
thf(zip_derived_cl1209,plain,
'#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk40' @ '#sk4' ),
inference(clc,[status(thm)],[zip_derived_cl1173,zip_derived_cl149]) ).
thf(zip_derived_cl1162_006,plain,
! [X0: a,X1: a] :
( ~ ( '#sk179' @ '#sk4' @ X1 @ X0 )
| ( '#sk4' @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1161]) ).
thf(zip_derived_cl136,plain,
( ( '#sk4' @ ( '#sk40' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl139,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ ( '#sk84' @ '#sk4' ) @ Y0 ) ) )
=> ( '#sk4' @ ( '#sk84' @ '#sk4' ) @ Y0 ) ) )
| ( '#sk4' @ ( '#sk40' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl142,plain,
( ~ ( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) ) )
=> ( '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) )
| ( '#sk4' @ ( '#sk40' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl146,plain,
( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) ) )
| ( '#sk4' @ ( '#sk40' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl142]) ).
thf(zip_derived_cl151,plain,
( ( ( '#sk1' @ ( '#sk179' @ '#sk4' ) )
& ( '#sk179' @ '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) ) )
| ( '#sk4' @ ( '#sk40' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl156,plain,
( ( '#sk179' @ '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) )
| ( '#sk4' @ ( '#sk40' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl1174,plain,
( ( '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) )
| ( '#sk4' @ ( '#sk40' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1162,zip_derived_cl156]) ).
thf(zip_derived_cl147,plain,
( ~ ( '#sk4' @ ( '#sk84' @ '#sk4' ) @ ( '#sk108' @ '#sk4' ) )
| ( '#sk4' @ ( '#sk40' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl142]) ).
thf(zip_derived_cl1212,plain,
'#sk4' @ ( '#sk40' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ),
inference(clc,[status(thm)],[zip_derived_cl1174,zip_derived_cl147]) ).
thf(zip_derived_cl32_007,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk4' @ X4 @ X6 )
| ~ ( '#sk4' @ X2 @ X4 )
| ( '#sk4' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl1214,plain,
! [X0: a] :
( ( '#sk4' @ X0 @ ( '#sk53' @ '#sk4' ) )
| ~ ( '#sk4' @ X0 @ ( '#sk40' @ '#sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1212,zip_derived_cl32]) ).
thf(zip_derived_cl1240,plain,
'#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk53' @ '#sk4' ),
inference('sup-',[status(thm)],[zip_derived_cl1209,zip_derived_cl1214]) ).
thf(zip_derived_cl1249,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1217,zip_derived_cl1240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV129^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kUyhjER9h4 true
% 0.15/0.35 % Computer : n017.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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 02:35:24 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 15.82/2.65 % Solved by lams/35_full_unif4.sh.
% 15.82/2.65 % done 105 iterations in 1.858s
% 15.82/2.65 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 15.82/2.65 % SZS output start Refutation
% See solution above
% 15.82/2.66
% 15.82/2.66
% 15.82/2.66 % Terminating...
% 16.21/2.79 % Runner terminated.
% 16.21/2.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------