%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ093^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JSTW7p0lV5 true
% Computer : n027.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 04:49:41 PM UTC 2025
% Result : Theorem 0.50s 0.94s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 1
% Syntax : Number of formulae : 29 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 664 ( 572 equ; 0 cnn)
% Maximal formula atoms : 45 ( 22 avg)
% Number of connectives : 4319 ( 241 ~; 96 |; 329 &;3443 @)
% ( 0 <=>; 119 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 23 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 1 usr; 3 con; 0-13 aty)
% ( 13 !!; 78 ??; 0 @@+; 0 @@-)
% Number of variables : 348 ( 91 ^; 233 !; 24 ?; 348 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(cSIXFRIENDS_PTH,conjecture,
? [Xa: $i,Xaa: $i,Xb: $i,Xbb: $i,Xc: $i,Xcc: $i,Xd: $i,Xdd: $i,Xe: $i,Xee: $i,Xh: $i,Xhh: $i] :
! [P: $i > $i] :
( ( ( ( ( ( P @ Xe )
!= ( P @ Xhh ) )
& ( ( P @ Xc )
= ( P @ Xcc ) )
& ( ( P @ Xbb )
= ( P @ Xc ) )
& ( ( P @ Xb )
= ( P @ Xbb ) ) )
=> ( ( P @ Xd )
= ( P @ Xee ) ) )
& ( ( ( ( P @ Xc )
= ( P @ Xdd ) )
& ( ( P @ Xh )
= ( P @ Xhh ) )
& ( ( P @ Xe )
= ( P @ Xee ) ) )
=> ( ( P @ Xa )
!= ( P @ Xbb ) ) )
& ( ( ( ( P @ Xb )
!= ( P @ Xcc ) )
& ( ( P @ Xd )
= ( P @ Xdd ) )
& ( ( P @ Xa )
= ( P @ Xaa ) ) )
=> ( ( P @ Xe )
= ( P @ Xhh ) ) )
& ( ( ( ( P @ Xa )
!= ( P @ Xbb ) )
& ( ( P @ Xd )
= ( P @ Xdd ) )
& ( ( P @ Xcc )
= ( P @ Xd ) )
& ( ( P @ Xc )
= ( P @ Xcc ) ) )
=> ( ( P @ Xe )
!= ( P @ Xhh ) ) )
& ( ( ( ( P @ Xb )
= ( P @ Xcc ) )
& ( ( P @ Xh )
= ( P @ Xhh ) )
& ( ( P @ Xa )
= ( P @ Xaa ) ) )
=> ( ( P @ Xd )
!= ( P @ Xee ) ) )
& ( ( ( ( P @ Xe )
= ( P @ Xhh ) )
& ( ( P @ Xb )
= ( P @ Xbb ) )
& ( ( P @ Xa )
= ( P @ Xaa ) ) )
=> ( ( P @ Xc )
= ( P @ Xdd ) ) ) )
=> ( ( ( P @ Xh )
!= ( P @ Xhh ) )
| ( ( P @ Xe )
!= ( P @ Xee ) )
| ( ( P @ Xd )
!= ( P @ Xdd ) )
| ( ( P @ Xc )
!= ( P @ Xcc ) )
| ( ( P @ Xb )
!= ( P @ Xbb ) )
| ( ( P @ Xa )
!= ( P @ Xaa ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [Xa: $i,Xaa: $i,Xb: $i,Xbb: $i,Xc: $i,Xcc: $i,Xd: $i,Xdd: $i,Xe: $i,Xee: $i,Xh: $i,Xhh: $i] :
! [P: $i > $i] :
( ( ( ( ( ( P @ Xe )
!= ( P @ Xhh ) )
& ( ( P @ Xc )
= ( P @ Xcc ) )
& ( ( P @ Xbb )
= ( P @ Xc ) )
& ( ( P @ Xb )
= ( P @ Xbb ) ) )
=> ( ( P @ Xd )
= ( P @ Xee ) ) )
& ( ( ( ( P @ Xc )
= ( P @ Xdd ) )
& ( ( P @ Xh )
= ( P @ Xhh ) )
& ( ( P @ Xe )
= ( P @ Xee ) ) )
=> ( ( P @ Xa )
!= ( P @ Xbb ) ) )
& ( ( ( ( P @ Xb )
!= ( P @ Xcc ) )
& ( ( P @ Xd )
= ( P @ Xdd ) )
& ( ( P @ Xa )
= ( P @ Xaa ) ) )
=> ( ( P @ Xe )
= ( P @ Xhh ) ) )
& ( ( ( ( P @ Xa )
!= ( P @ Xbb ) )
& ( ( P @ Xd )
= ( P @ Xdd ) )
& ( ( P @ Xcc )
= ( P @ Xd ) )
& ( ( P @ Xc )
= ( P @ Xcc ) ) )
=> ( ( P @ Xe )
!= ( P @ Xhh ) ) )
& ( ( ( ( P @ Xb )
= ( P @ Xcc ) )
& ( ( P @ Xh )
= ( P @ Xhh ) )
& ( ( P @ Xa )
= ( P @ Xaa ) ) )
=> ( ( P @ Xd )
!= ( P @ Xee ) ) )
& ( ( ( ( P @ Xe )
= ( P @ Xhh ) )
& ( ( P @ Xb )
= ( P @ Xbb ) )
& ( ( P @ Xa )
= ( P @ Xaa ) ) )
=> ( ( P @ Xc )
= ( P @ Xdd ) ) ) )
=> ( ( ( P @ Xh )
!= ( P @ Xhh ) )
| ( ( P @ Xe )
!= ( P @ Xee ) )
| ( ( P @ Xd )
!= ( P @ Xdd ) )
| ( ( P @ Xc )
!= ( P @ Xcc ) )
| ( ( P @ Xb )
!= ( P @ Xbb ) )
| ( ( P @ Xa )
!= ( P @ Xaa ) ) ) ),
inference('cnf.neg',[status(esa)],[cSIXFRIENDS_PTH]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ??
@ ^ [Y4: $i] :
( ??
@ ^ [Y5: $i] :
( ??
@ ^ [Y6: $i] :
( ??
@ ^ [Y7: $i] :
( ??
@ ^ [Y8: $i] :
( ??
@ ^ [Y9: $i] :
( ??
@ ^ [Y10: $i] :
( ??
@ ^ [Y11: $i] :
( !!
@ ^ [Y12: $i > $i] :
( ( ( ( ( ( Y12 @ Y8 )
!= ( Y12 @ Y11 ) )
& ( ( Y12 @ Y4 )
= ( Y12 @ Y5 ) )
& ( ( Y12 @ Y3 )
= ( Y12 @ Y4 ) )
& ( ( Y12 @ Y2 )
= ( Y12 @ Y3 ) ) )
=> ( ( Y12 @ Y6 )
= ( Y12 @ Y9 ) ) )
& ( ( ( ( Y12 @ Y4 )
= ( Y12 @ Y7 ) )
& ( ( Y12 @ Y10 )
= ( Y12 @ Y11 ) )
& ( ( Y12 @ Y8 )
= ( Y12 @ Y9 ) ) )
=> ( ( Y12 @ Y0 )
!= ( Y12 @ Y3 ) ) )
& ( ( ( ( Y12 @ Y2 )
!= ( Y12 @ Y5 ) )
& ( ( Y12 @ Y6 )
= ( Y12 @ Y7 ) )
& ( ( Y12 @ Y0 )
= ( Y12 @ Y1 ) ) )
=> ( ( Y12 @ Y8 )
= ( Y12 @ Y11 ) ) )
& ( ( ( ( Y12 @ Y0 )
!= ( Y12 @ Y3 ) )
& ( ( Y12 @ Y6 )
= ( Y12 @ Y7 ) )
& ( ( Y12 @ Y5 )
= ( Y12 @ Y6 ) )
& ( ( Y12 @ Y4 )
= ( Y12 @ Y5 ) ) )
=> ( ( Y12 @ Y8 )
!= ( Y12 @ Y11 ) ) )
& ( ( ( ( Y12 @ Y2 )
= ( Y12 @ Y5 ) )
& ( ( Y12 @ Y10 )
= ( Y12 @ Y11 ) )
& ( ( Y12 @ Y0 )
= ( Y12 @ Y1 ) ) )
=> ( ( Y12 @ Y6 )
!= ( Y12 @ Y9 ) ) )
& ( ( ( ( Y12 @ Y8 )
= ( Y12 @ Y11 ) )
& ( ( Y12 @ Y2 )
= ( Y12 @ Y3 ) )
& ( ( Y12 @ Y0 )
= ( Y12 @ Y1 ) ) )
=> ( ( Y12 @ Y4 )
= ( Y12 @ Y7 ) ) ) )
=> ( ( ( Y12 @ Y10 )
!= ( Y12 @ Y11 ) )
| ( ( Y12 @ Y8 )
!= ( Y12 @ Y9 ) )
| ( ( Y12 @ Y6 )
!= ( Y12 @ Y7 ) )
| ( ( Y12 @ Y4 )
!= ( Y12 @ Y5 ) )
| ( ( Y12 @ Y2 )
!= ( Y12 @ Y3 ) )
| ( ( Y12 @ Y0 )
!= ( Y12 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ??
@ ^ [Y4: $i] :
( ??
@ ^ [Y5: $i] :
( ??
@ ^ [Y6: $i] :
( ??
@ ^ [Y7: $i] :
( ??
@ ^ [Y8: $i] :
( ??
@ ^ [Y9: $i] :
( ??
@ ^ [Y10: $i] :
( !!
@ ^ [Y11: $i > $i] :
( ( ( ( ( ( Y11 @ Y7 )
!= ( Y11 @ Y10 ) )
& ( ( Y11 @ Y3 )
= ( Y11 @ Y4 ) )
& ( ( Y11 @ Y2 )
= ( Y11 @ Y3 ) )
& ( ( Y11 @ Y1 )
= ( Y11 @ Y2 ) ) )
=> ( ( Y11 @ Y5 )
= ( Y11 @ Y8 ) ) )
& ( ( ( ( Y11 @ Y3 )
= ( Y11 @ Y6 ) )
& ( ( Y11 @ Y9 )
= ( Y11 @ Y10 ) )
& ( ( Y11 @ Y7 )
= ( Y11 @ Y8 ) ) )
=> ( ( Y11 @ X2 )
!= ( Y11 @ Y2 ) ) )
& ( ( ( ( Y11 @ Y1 )
!= ( Y11 @ Y4 ) )
& ( ( Y11 @ Y5 )
= ( Y11 @ Y6 ) )
& ( ( Y11 @ X2 )
= ( Y11 @ Y0 ) ) )
=> ( ( Y11 @ Y7 )
= ( Y11 @ Y10 ) ) )
& ( ( ( ( Y11 @ X2 )
!= ( Y11 @ Y2 ) )
& ( ( Y11 @ Y5 )
= ( Y11 @ Y6 ) )
& ( ( Y11 @ Y4 )
= ( Y11 @ Y5 ) )
& ( ( Y11 @ Y3 )
= ( Y11 @ Y4 ) ) )
=> ( ( Y11 @ Y7 )
!= ( Y11 @ Y10 ) ) )
& ( ( ( ( Y11 @ Y1 )
= ( Y11 @ Y4 ) )
& ( ( Y11 @ Y9 )
= ( Y11 @ Y10 ) )
& ( ( Y11 @ X2 )
= ( Y11 @ Y0 ) ) )
=> ( ( Y11 @ Y5 )
!= ( Y11 @ Y8 ) ) )
& ( ( ( ( Y11 @ Y7 )
= ( Y11 @ Y10 ) )
& ( ( Y11 @ Y1 )
= ( Y11 @ Y2 ) )
& ( ( Y11 @ X2 )
= ( Y11 @ Y0 ) ) )
=> ( ( Y11 @ Y3 )
= ( Y11 @ Y6 ) ) ) )
=> ( ( ( Y11 @ Y9 )
!= ( Y11 @ Y10 ) )
| ( ( Y11 @ Y7 )
!= ( Y11 @ Y8 ) )
| ( ( Y11 @ Y5 )
!= ( Y11 @ Y6 ) )
| ( ( Y11 @ Y3 )
!= ( Y11 @ Y4 ) )
| ( ( Y11 @ Y1 )
!= ( Y11 @ Y2 ) )
| ( ( Y11 @ X2 )
!= ( Y11 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
! [X2: $i,X4: $i] :
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ??
@ ^ [Y4: $i] :
( ??
@ ^ [Y5: $i] :
( ??
@ ^ [Y6: $i] :
( ??
@ ^ [Y7: $i] :
( ??
@ ^ [Y8: $i] :
( ??
@ ^ [Y9: $i] :
( !!
@ ^ [Y10: $i > $i] :
( ( ( ( ( ( Y10 @ Y6 )
!= ( Y10 @ Y9 ) )
& ( ( Y10 @ Y2 )
= ( Y10 @ Y3 ) )
& ( ( Y10 @ Y1 )
= ( Y10 @ Y2 ) )
& ( ( Y10 @ Y0 )
= ( Y10 @ Y1 ) ) )
=> ( ( Y10 @ Y4 )
= ( Y10 @ Y7 ) ) )
& ( ( ( ( Y10 @ Y2 )
= ( Y10 @ Y5 ) )
& ( ( Y10 @ Y8 )
= ( Y10 @ Y9 ) )
& ( ( Y10 @ Y6 )
= ( Y10 @ Y7 ) ) )
=> ( ( Y10 @ X2 )
!= ( Y10 @ Y1 ) ) )
& ( ( ( ( Y10 @ Y0 )
!= ( Y10 @ Y3 ) )
& ( ( Y10 @ Y4 )
= ( Y10 @ Y5 ) )
& ( ( Y10 @ X2 )
= ( Y10 @ X4 ) ) )
=> ( ( Y10 @ Y6 )
= ( Y10 @ Y9 ) ) )
& ( ( ( ( Y10 @ X2 )
!= ( Y10 @ Y1 ) )
& ( ( Y10 @ Y4 )
= ( Y10 @ Y5 ) )
& ( ( Y10 @ Y3 )
= ( Y10 @ Y4 ) )
& ( ( Y10 @ Y2 )
= ( Y10 @ Y3 ) ) )
=> ( ( Y10 @ Y6 )
!= ( Y10 @ Y9 ) ) )
& ( ( ( ( Y10 @ Y0 )
= ( Y10 @ Y3 ) )
& ( ( Y10 @ Y8 )
= ( Y10 @ Y9 ) )
& ( ( Y10 @ X2 )
= ( Y10 @ X4 ) ) )
=> ( ( Y10 @ Y4 )
!= ( Y10 @ Y7 ) ) )
& ( ( ( ( Y10 @ Y6 )
= ( Y10 @ Y9 ) )
& ( ( Y10 @ Y0 )
= ( Y10 @ Y1 ) )
& ( ( Y10 @ X2 )
= ( Y10 @ X4 ) ) )
=> ( ( Y10 @ Y2 )
= ( Y10 @ Y5 ) ) ) )
=> ( ( ( Y10 @ Y8 )
!= ( Y10 @ Y9 ) )
| ( ( Y10 @ Y6 )
!= ( Y10 @ Y7 ) )
| ( ( Y10 @ Y4 )
!= ( Y10 @ Y5 ) )
| ( ( Y10 @ Y2 )
!= ( Y10 @ Y3 ) )
| ( ( Y10 @ Y0 )
!= ( Y10 @ Y1 ) )
| ( ( Y10 @ X2 )
!= ( Y10 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X2: $i,X4: $i,X6: $i] :
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ??
@ ^ [Y4: $i] :
( ??
@ ^ [Y5: $i] :
( ??
@ ^ [Y6: $i] :
( ??
@ ^ [Y7: $i] :
( ??
@ ^ [Y8: $i] :
( !!
@ ^ [Y9: $i > $i] :
( ( ( ( ( ( Y9 @ Y5 )
!= ( Y9 @ Y8 ) )
& ( ( Y9 @ Y1 )
= ( Y9 @ Y2 ) )
& ( ( Y9 @ Y0 )
= ( Y9 @ Y1 ) )
& ( ( Y9 @ X6 )
= ( Y9 @ Y0 ) ) )
=> ( ( Y9 @ Y3 )
= ( Y9 @ Y6 ) ) )
& ( ( ( ( Y9 @ Y1 )
= ( Y9 @ Y4 ) )
& ( ( Y9 @ Y7 )
= ( Y9 @ Y8 ) )
& ( ( Y9 @ Y5 )
= ( Y9 @ Y6 ) ) )
=> ( ( Y9 @ X2 )
!= ( Y9 @ Y0 ) ) )
& ( ( ( ( Y9 @ X6 )
!= ( Y9 @ Y2 ) )
& ( ( Y9 @ Y3 )
= ( Y9 @ Y4 ) )
& ( ( Y9 @ X2 )
= ( Y9 @ X4 ) ) )
=> ( ( Y9 @ Y5 )
= ( Y9 @ Y8 ) ) )
& ( ( ( ( Y9 @ X2 )
!= ( Y9 @ Y0 ) )
& ( ( Y9 @ Y3 )
= ( Y9 @ Y4 ) )
& ( ( Y9 @ Y2 )
= ( Y9 @ Y3 ) )
& ( ( Y9 @ Y1 )
= ( Y9 @ Y2 ) ) )
=> ( ( Y9 @ Y5 )
!= ( Y9 @ Y8 ) ) )
& ( ( ( ( Y9 @ X6 )
= ( Y9 @ Y2 ) )
& ( ( Y9 @ Y7 )
= ( Y9 @ Y8 ) )
& ( ( Y9 @ X2 )
= ( Y9 @ X4 ) ) )
=> ( ( Y9 @ Y3 )
!= ( Y9 @ Y6 ) ) )
& ( ( ( ( Y9 @ Y5 )
= ( Y9 @ Y8 ) )
& ( ( Y9 @ X6 )
= ( Y9 @ Y0 ) )
& ( ( Y9 @ X2 )
= ( Y9 @ X4 ) ) )
=> ( ( Y9 @ Y1 )
= ( Y9 @ Y4 ) ) ) )
=> ( ( ( Y9 @ Y7 )
!= ( Y9 @ Y8 ) )
| ( ( Y9 @ Y5 )
!= ( Y9 @ Y6 ) )
| ( ( Y9 @ Y3 )
!= ( Y9 @ Y4 ) )
| ( ( Y9 @ Y1 )
!= ( Y9 @ Y2 ) )
| ( ( Y9 @ X6 )
!= ( Y9 @ Y0 ) )
| ( ( Y9 @ X2 )
!= ( Y9 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ??
@ ^ [Y4: $i] :
( ??
@ ^ [Y5: $i] :
( ??
@ ^ [Y6: $i] :
( ??
@ ^ [Y7: $i] :
( !!
@ ^ [Y8: $i > $i] :
( ( ( ( ( ( Y8 @ Y4 )
!= ( Y8 @ Y7 ) )
& ( ( Y8 @ Y0 )
= ( Y8 @ Y1 ) )
& ( ( Y8 @ X8 )
= ( Y8 @ Y0 ) )
& ( ( Y8 @ X6 )
= ( Y8 @ X8 ) ) )
=> ( ( Y8 @ Y2 )
= ( Y8 @ Y5 ) ) )
& ( ( ( ( Y8 @ Y0 )
= ( Y8 @ Y3 ) )
& ( ( Y8 @ Y6 )
= ( Y8 @ Y7 ) )
& ( ( Y8 @ Y4 )
= ( Y8 @ Y5 ) ) )
=> ( ( Y8 @ X2 )
!= ( Y8 @ X8 ) ) )
& ( ( ( ( Y8 @ X6 )
!= ( Y8 @ Y1 ) )
& ( ( Y8 @ Y2 )
= ( Y8 @ Y3 ) )
& ( ( Y8 @ X2 )
= ( Y8 @ X4 ) ) )
=> ( ( Y8 @ Y4 )
= ( Y8 @ Y7 ) ) )
& ( ( ( ( Y8 @ X2 )
!= ( Y8 @ X8 ) )
& ( ( Y8 @ Y2 )
= ( Y8 @ Y3 ) )
& ( ( Y8 @ Y1 )
= ( Y8 @ Y2 ) )
& ( ( Y8 @ Y0 )
= ( Y8 @ Y1 ) ) )
=> ( ( Y8 @ Y4 )
!= ( Y8 @ Y7 ) ) )
& ( ( ( ( Y8 @ X6 )
= ( Y8 @ Y1 ) )
& ( ( Y8 @ Y6 )
= ( Y8 @ Y7 ) )
& ( ( Y8 @ X2 )
= ( Y8 @ X4 ) ) )
=> ( ( Y8 @ Y2 )
!= ( Y8 @ Y5 ) ) )
& ( ( ( ( Y8 @ Y4 )
= ( Y8 @ Y7 ) )
& ( ( Y8 @ X6 )
= ( Y8 @ X8 ) )
& ( ( Y8 @ X2 )
= ( Y8 @ X4 ) ) )
=> ( ( Y8 @ Y0 )
= ( Y8 @ Y3 ) ) ) )
=> ( ( ( Y8 @ Y6 )
!= ( Y8 @ Y7 ) )
| ( ( Y8 @ Y4 )
!= ( Y8 @ Y5 ) )
| ( ( Y8 @ Y2 )
!= ( Y8 @ Y3 ) )
| ( ( Y8 @ Y0 )
!= ( Y8 @ Y1 ) )
| ( ( Y8 @ X6 )
!= ( Y8 @ X8 ) )
| ( ( Y8 @ X2 )
!= ( Y8 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ??
@ ^ [Y4: $i] :
( ??
@ ^ [Y5: $i] :
( ??
@ ^ [Y6: $i] :
( !!
@ ^ [Y7: $i > $i] :
( ( ( ( ( ( Y7 @ Y3 )
!= ( Y7 @ Y6 ) )
& ( ( Y7 @ X10 )
= ( Y7 @ Y0 ) )
& ( ( Y7 @ X8 )
= ( Y7 @ X10 ) )
& ( ( Y7 @ X6 )
= ( Y7 @ X8 ) ) )
=> ( ( Y7 @ Y1 )
= ( Y7 @ Y4 ) ) )
& ( ( ( ( Y7 @ X10 )
= ( Y7 @ Y2 ) )
& ( ( Y7 @ Y5 )
= ( Y7 @ Y6 ) )
& ( ( Y7 @ Y3 )
= ( Y7 @ Y4 ) ) )
=> ( ( Y7 @ X2 )
!= ( Y7 @ X8 ) ) )
& ( ( ( ( Y7 @ X6 )
!= ( Y7 @ Y0 ) )
& ( ( Y7 @ Y1 )
= ( Y7 @ Y2 ) )
& ( ( Y7 @ X2 )
= ( Y7 @ X4 ) ) )
=> ( ( Y7 @ Y3 )
= ( Y7 @ Y6 ) ) )
& ( ( ( ( Y7 @ X2 )
!= ( Y7 @ X8 ) )
& ( ( Y7 @ Y1 )
= ( Y7 @ Y2 ) )
& ( ( Y7 @ Y0 )
= ( Y7 @ Y1 ) )
& ( ( Y7 @ X10 )
= ( Y7 @ Y0 ) ) )
=> ( ( Y7 @ Y3 )
!= ( Y7 @ Y6 ) ) )
& ( ( ( ( Y7 @ X6 )
= ( Y7 @ Y0 ) )
& ( ( Y7 @ Y5 )
= ( Y7 @ Y6 ) )
& ( ( Y7 @ X2 )
= ( Y7 @ X4 ) ) )
=> ( ( Y7 @ Y1 )
!= ( Y7 @ Y4 ) ) )
& ( ( ( ( Y7 @ Y3 )
= ( Y7 @ Y6 ) )
& ( ( Y7 @ X6 )
= ( Y7 @ X8 ) )
& ( ( Y7 @ X2 )
= ( Y7 @ X4 ) ) )
=> ( ( Y7 @ X10 )
= ( Y7 @ Y2 ) ) ) )
=> ( ( ( Y7 @ Y5 )
!= ( Y7 @ Y6 ) )
| ( ( Y7 @ Y3 )
!= ( Y7 @ Y4 ) )
| ( ( Y7 @ Y1 )
!= ( Y7 @ Y2 ) )
| ( ( Y7 @ X10 )
!= ( Y7 @ Y0 ) )
| ( ( Y7 @ X6 )
!= ( Y7 @ X8 ) )
| ( ( Y7 @ X2 )
!= ( Y7 @ X4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ??
@ ^ [Y4: $i] :
( ??
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i > $i] :
( ( ( ( ( ( Y6 @ Y2 )
!= ( Y6 @ Y5 ) )
& ( ( Y6 @ X10 )
= ( Y6 @ X12 ) )
& ( ( Y6 @ X8 )
= ( Y6 @ X10 ) )
& ( ( Y6 @ X6 )
= ( Y6 @ X8 ) ) )
=> ( ( Y6 @ Y0 )
= ( Y6 @ Y3 ) ) )
& ( ( ( ( Y6 @ X10 )
= ( Y6 @ Y1 ) )
& ( ( Y6 @ Y4 )
= ( Y6 @ Y5 ) )
& ( ( Y6 @ Y2 )
= ( Y6 @ Y3 ) ) )
=> ( ( Y6 @ X2 )
!= ( Y6 @ X8 ) ) )
& ( ( ( ( Y6 @ X6 )
!= ( Y6 @ X12 ) )
& ( ( Y6 @ Y0 )
= ( Y6 @ Y1 ) )
& ( ( Y6 @ X2 )
= ( Y6 @ X4 ) ) )
=> ( ( Y6 @ Y2 )
= ( Y6 @ Y5 ) ) )
& ( ( ( ( Y6 @ X2 )
!= ( Y6 @ X8 ) )
& ( ( Y6 @ Y0 )
= ( Y6 @ Y1 ) )
& ( ( Y6 @ X12 )
= ( Y6 @ Y0 ) )
& ( ( Y6 @ X10 )
= ( Y6 @ X12 ) ) )
=> ( ( Y6 @ Y2 )
!= ( Y6 @ Y5 ) ) )
& ( ( ( ( Y6 @ X6 )
= ( Y6 @ X12 ) )
& ( ( Y6 @ Y4 )
= ( Y6 @ Y5 ) )
& ( ( Y6 @ X2 )
= ( Y6 @ X4 ) ) )
=> ( ( Y6 @ Y0 )
!= ( Y6 @ Y3 ) ) )
& ( ( ( ( Y6 @ Y2 )
= ( Y6 @ Y5 ) )
& ( ( Y6 @ X6 )
= ( Y6 @ X8 ) )
& ( ( Y6 @ X2 )
= ( Y6 @ X4 ) ) )
=> ( ( Y6 @ X10 )
= ( Y6 @ Y1 ) ) ) )
=> ( ( ( Y6 @ Y4 )
!= ( Y6 @ Y5 ) )
| ( ( Y6 @ Y2 )
!= ( Y6 @ Y3 ) )
| ( ( Y6 @ Y0 )
!= ( Y6 @ Y1 ) )
| ( ( Y6 @ X10 )
!= ( Y6 @ X12 ) )
| ( ( Y6 @ X6 )
!= ( Y6 @ X8 ) )
| ( ( Y6 @ X2 )
!= ( Y6 @ X4 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ??
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i > $i] :
( ( ( ( ( ( Y5 @ Y1 )
!= ( Y5 @ Y4 ) )
& ( ( Y5 @ X10 )
= ( Y5 @ X12 ) )
& ( ( Y5 @ X8 )
= ( Y5 @ X10 ) )
& ( ( Y5 @ X6 )
= ( Y5 @ X8 ) ) )
=> ( ( Y5 @ X14 )
= ( Y5 @ Y2 ) ) )
& ( ( ( ( Y5 @ X10 )
= ( Y5 @ Y0 ) )
& ( ( Y5 @ Y3 )
= ( Y5 @ Y4 ) )
& ( ( Y5 @ Y1 )
= ( Y5 @ Y2 ) ) )
=> ( ( Y5 @ X2 )
!= ( Y5 @ X8 ) ) )
& ( ( ( ( Y5 @ X6 )
!= ( Y5 @ X12 ) )
& ( ( Y5 @ X14 )
= ( Y5 @ Y0 ) )
& ( ( Y5 @ X2 )
= ( Y5 @ X4 ) ) )
=> ( ( Y5 @ Y1 )
= ( Y5 @ Y4 ) ) )
& ( ( ( ( Y5 @ X2 )
!= ( Y5 @ X8 ) )
& ( ( Y5 @ X14 )
= ( Y5 @ Y0 ) )
& ( ( Y5 @ X12 )
= ( Y5 @ X14 ) )
& ( ( Y5 @ X10 )
= ( Y5 @ X12 ) ) )
=> ( ( Y5 @ Y1 )
!= ( Y5 @ Y4 ) ) )
& ( ( ( ( Y5 @ X6 )
= ( Y5 @ X12 ) )
& ( ( Y5 @ Y3 )
= ( Y5 @ Y4 ) )
& ( ( Y5 @ X2 )
= ( Y5 @ X4 ) ) )
=> ( ( Y5 @ X14 )
!= ( Y5 @ Y2 ) ) )
& ( ( ( ( Y5 @ Y1 )
= ( Y5 @ Y4 ) )
& ( ( Y5 @ X6 )
= ( Y5 @ X8 ) )
& ( ( Y5 @ X2 )
= ( Y5 @ X4 ) ) )
=> ( ( Y5 @ X10 )
= ( Y5 @ Y0 ) ) ) )
=> ( ( ( Y5 @ Y3 )
!= ( Y5 @ Y4 ) )
| ( ( Y5 @ Y1 )
!= ( Y5 @ Y2 ) )
| ( ( Y5 @ X14 )
!= ( Y5 @ Y0 ) )
| ( ( Y5 @ X10 )
!= ( Y5 @ X12 ) )
| ( ( Y5 @ X6 )
!= ( Y5 @ X8 ) )
| ( ( Y5 @ X2 )
!= ( Y5 @ X4 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i] :
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i > $i] :
( ( ( ( ( ( Y4 @ Y0 )
!= ( Y4 @ Y3 ) )
& ( ( Y4 @ X10 )
= ( Y4 @ X12 ) )
& ( ( Y4 @ X8 )
= ( Y4 @ X10 ) )
& ( ( Y4 @ X6 )
= ( Y4 @ X8 ) ) )
=> ( ( Y4 @ X14 )
= ( Y4 @ Y1 ) ) )
& ( ( ( ( Y4 @ X10 )
= ( Y4 @ X16 ) )
& ( ( Y4 @ Y2 )
= ( Y4 @ Y3 ) )
& ( ( Y4 @ Y0 )
= ( Y4 @ Y1 ) ) )
=> ( ( Y4 @ X2 )
!= ( Y4 @ X8 ) ) )
& ( ( ( ( Y4 @ X6 )
!= ( Y4 @ X12 ) )
& ( ( Y4 @ X14 )
= ( Y4 @ X16 ) )
& ( ( Y4 @ X2 )
= ( Y4 @ X4 ) ) )
=> ( ( Y4 @ Y0 )
= ( Y4 @ Y3 ) ) )
& ( ( ( ( Y4 @ X2 )
!= ( Y4 @ X8 ) )
& ( ( Y4 @ X14 )
= ( Y4 @ X16 ) )
& ( ( Y4 @ X12 )
= ( Y4 @ X14 ) )
& ( ( Y4 @ X10 )
= ( Y4 @ X12 ) ) )
=> ( ( Y4 @ Y0 )
!= ( Y4 @ Y3 ) ) )
& ( ( ( ( Y4 @ X6 )
= ( Y4 @ X12 ) )
& ( ( Y4 @ Y2 )
= ( Y4 @ Y3 ) )
& ( ( Y4 @ X2 )
= ( Y4 @ X4 ) ) )
=> ( ( Y4 @ X14 )
!= ( Y4 @ Y1 ) ) )
& ( ( ( ( Y4 @ Y0 )
= ( Y4 @ Y3 ) )
& ( ( Y4 @ X6 )
= ( Y4 @ X8 ) )
& ( ( Y4 @ X2 )
= ( Y4 @ X4 ) ) )
=> ( ( Y4 @ X10 )
= ( Y4 @ X16 ) ) ) )
=> ( ( ( Y4 @ Y2 )
!= ( Y4 @ Y3 ) )
| ( ( Y4 @ Y0 )
!= ( Y4 @ Y1 ) )
| ( ( Y4 @ X14 )
!= ( Y4 @ X16 ) )
| ( ( Y4 @ X10 )
!= ( Y4 @ X12 ) )
| ( ( Y4 @ X6 )
!= ( Y4 @ X8 ) )
| ( ( Y4 @ X2 )
!= ( Y4 @ X4 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i > $i] :
( ( ( ( ( ( Y3 @ X18 )
!= ( Y3 @ Y2 ) )
& ( ( Y3 @ X10 )
= ( Y3 @ X12 ) )
& ( ( Y3 @ X8 )
= ( Y3 @ X10 ) )
& ( ( Y3 @ X6 )
= ( Y3 @ X8 ) ) )
=> ( ( Y3 @ X14 )
= ( Y3 @ Y0 ) ) )
& ( ( ( ( Y3 @ X10 )
= ( Y3 @ X16 ) )
& ( ( Y3 @ Y1 )
= ( Y3 @ Y2 ) )
& ( ( Y3 @ X18 )
= ( Y3 @ Y0 ) ) )
=> ( ( Y3 @ X2 )
!= ( Y3 @ X8 ) ) )
& ( ( ( ( Y3 @ X6 )
!= ( Y3 @ X12 ) )
& ( ( Y3 @ X14 )
= ( Y3 @ X16 ) )
& ( ( Y3 @ X2 )
= ( Y3 @ X4 ) ) )
=> ( ( Y3 @ X18 )
= ( Y3 @ Y2 ) ) )
& ( ( ( ( Y3 @ X2 )
!= ( Y3 @ X8 ) )
& ( ( Y3 @ X14 )
= ( Y3 @ X16 ) )
& ( ( Y3 @ X12 )
= ( Y3 @ X14 ) )
& ( ( Y3 @ X10 )
= ( Y3 @ X12 ) ) )
=> ( ( Y3 @ X18 )
!= ( Y3 @ Y2 ) ) )
& ( ( ( ( Y3 @ X6 )
= ( Y3 @ X12 ) )
& ( ( Y3 @ Y1 )
= ( Y3 @ Y2 ) )
& ( ( Y3 @ X2 )
= ( Y3 @ X4 ) ) )
=> ( ( Y3 @ X14 )
!= ( Y3 @ Y0 ) ) )
& ( ( ( ( Y3 @ X18 )
= ( Y3 @ Y2 ) )
& ( ( Y3 @ X6 )
= ( Y3 @ X8 ) )
& ( ( Y3 @ X2 )
= ( Y3 @ X4 ) ) )
=> ( ( Y3 @ X10 )
= ( Y3 @ X16 ) ) ) )
=> ( ( ( Y3 @ Y1 )
!= ( Y3 @ Y2 ) )
| ( ( Y3 @ X18 )
!= ( Y3 @ Y0 ) )
| ( ( Y3 @ X14 )
!= ( Y3 @ X16 ) )
| ( ( Y3 @ X10 )
!= ( Y3 @ X12 ) )
| ( ( Y3 @ X6 )
!= ( Y3 @ X8 ) )
| ( ( Y3 @ X2 )
!= ( Y3 @ X4 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i] :
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $i] :
( ( ( ( ( ( Y2 @ X18 )
!= ( Y2 @ Y1 ) )
& ( ( Y2 @ X10 )
= ( Y2 @ X12 ) )
& ( ( Y2 @ X8 )
= ( Y2 @ X10 ) )
& ( ( Y2 @ X6 )
= ( Y2 @ X8 ) ) )
=> ( ( Y2 @ X14 )
= ( Y2 @ X20 ) ) )
& ( ( ( ( Y2 @ X10 )
= ( Y2 @ X16 ) )
& ( ( Y2 @ Y0 )
= ( Y2 @ Y1 ) )
& ( ( Y2 @ X18 )
= ( Y2 @ X20 ) ) )
=> ( ( Y2 @ X2 )
!= ( Y2 @ X8 ) ) )
& ( ( ( ( Y2 @ X6 )
!= ( Y2 @ X12 ) )
& ( ( Y2 @ X14 )
= ( Y2 @ X16 ) )
& ( ( Y2 @ X2 )
= ( Y2 @ X4 ) ) )
=> ( ( Y2 @ X18 )
= ( Y2 @ Y1 ) ) )
& ( ( ( ( Y2 @ X2 )
!= ( Y2 @ X8 ) )
& ( ( Y2 @ X14 )
= ( Y2 @ X16 ) )
& ( ( Y2 @ X12 )
= ( Y2 @ X14 ) )
& ( ( Y2 @ X10 )
= ( Y2 @ X12 ) ) )
=> ( ( Y2 @ X18 )
!= ( Y2 @ Y1 ) ) )
& ( ( ( ( Y2 @ X6 )
= ( Y2 @ X12 ) )
& ( ( Y2 @ Y0 )
= ( Y2 @ Y1 ) )
& ( ( Y2 @ X2 )
= ( Y2 @ X4 ) ) )
=> ( ( Y2 @ X14 )
!= ( Y2 @ X20 ) ) )
& ( ( ( ( Y2 @ X18 )
= ( Y2 @ Y1 ) )
& ( ( Y2 @ X6 )
= ( Y2 @ X8 ) )
& ( ( Y2 @ X2 )
= ( Y2 @ X4 ) ) )
=> ( ( Y2 @ X10 )
= ( Y2 @ X16 ) ) ) )
=> ( ( ( Y2 @ Y0 )
!= ( Y2 @ Y1 ) )
| ( ( Y2 @ X18 )
!= ( Y2 @ X20 ) )
| ( ( Y2 @ X14 )
!= ( Y2 @ X16 ) )
| ( ( Y2 @ X10 )
!= ( Y2 @ X12 ) )
| ( ( Y2 @ X6 )
!= ( Y2 @ X8 ) )
| ( ( Y2 @ X2 )
!= ( Y2 @ X4 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i] :
~ ( ??
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $i] :
( ( ( ( ( ( Y1 @ X18 )
!= ( Y1 @ Y0 ) )
& ( ( Y1 @ X10 )
= ( Y1 @ X12 ) )
& ( ( Y1 @ X8 )
= ( Y1 @ X10 ) )
& ( ( Y1 @ X6 )
= ( Y1 @ X8 ) ) )
=> ( ( Y1 @ X14 )
= ( Y1 @ X20 ) ) )
& ( ( ( ( Y1 @ X10 )
= ( Y1 @ X16 ) )
& ( ( Y1 @ X22 )
= ( Y1 @ Y0 ) )
& ( ( Y1 @ X18 )
= ( Y1 @ X20 ) ) )
=> ( ( Y1 @ X2 )
!= ( Y1 @ X8 ) ) )
& ( ( ( ( Y1 @ X6 )
!= ( Y1 @ X12 ) )
& ( ( Y1 @ X14 )
= ( Y1 @ X16 ) )
& ( ( Y1 @ X2 )
= ( Y1 @ X4 ) ) )
=> ( ( Y1 @ X18 )
= ( Y1 @ Y0 ) ) )
& ( ( ( ( Y1 @ X2 )
!= ( Y1 @ X8 ) )
& ( ( Y1 @ X14 )
= ( Y1 @ X16 ) )
& ( ( Y1 @ X12 )
= ( Y1 @ X14 ) )
& ( ( Y1 @ X10 )
= ( Y1 @ X12 ) ) )
=> ( ( Y1 @ X18 )
!= ( Y1 @ Y0 ) ) )
& ( ( ( ( Y1 @ X6 )
= ( Y1 @ X12 ) )
& ( ( Y1 @ X22 )
= ( Y1 @ Y0 ) )
& ( ( Y1 @ X2 )
= ( Y1 @ X4 ) ) )
=> ( ( Y1 @ X14 )
!= ( Y1 @ X20 ) ) )
& ( ( ( ( Y1 @ X18 )
= ( Y1 @ Y0 ) )
& ( ( Y1 @ X6 )
= ( Y1 @ X8 ) )
& ( ( Y1 @ X2 )
= ( Y1 @ X4 ) ) )
=> ( ( Y1 @ X10 )
= ( Y1 @ X16 ) ) ) )
=> ( ( ( Y1 @ X22 )
!= ( Y1 @ Y0 ) )
| ( ( Y1 @ X18 )
!= ( Y1 @ X20 ) )
| ( ( Y1 @ X14 )
!= ( Y1 @ X16 ) )
| ( ( Y1 @ X10 )
!= ( Y1 @ X12 ) )
| ( ( Y1 @ X6 )
!= ( Y1 @ X8 ) )
| ( ( Y1 @ X2 )
!= ( Y1 @ X4 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
~ ( !!
@ ^ [Y0: $i > $i] :
( ( ( ( ( ( Y0 @ X18 )
!= ( Y0 @ X24 ) )
& ( ( Y0 @ X10 )
= ( Y0 @ X12 ) )
& ( ( Y0 @ X8 )
= ( Y0 @ X10 ) )
& ( ( Y0 @ X6 )
= ( Y0 @ X8 ) ) )
=> ( ( Y0 @ X14 )
= ( Y0 @ X20 ) ) )
& ( ( ( ( Y0 @ X10 )
= ( Y0 @ X16 ) )
& ( ( Y0 @ X22 )
= ( Y0 @ X24 ) )
& ( ( Y0 @ X18 )
= ( Y0 @ X20 ) ) )
=> ( ( Y0 @ X2 )
!= ( Y0 @ X8 ) ) )
& ( ( ( ( Y0 @ X6 )
!= ( Y0 @ X12 ) )
& ( ( Y0 @ X14 )
= ( Y0 @ X16 ) )
& ( ( Y0 @ X2 )
= ( Y0 @ X4 ) ) )
=> ( ( Y0 @ X18 )
= ( Y0 @ X24 ) ) )
& ( ( ( ( Y0 @ X2 )
!= ( Y0 @ X8 ) )
& ( ( Y0 @ X14 )
= ( Y0 @ X16 ) )
& ( ( Y0 @ X12 )
= ( Y0 @ X14 ) )
& ( ( Y0 @ X10 )
= ( Y0 @ X12 ) ) )
=> ( ( Y0 @ X18 )
!= ( Y0 @ X24 ) ) )
& ( ( ( ( Y0 @ X6 )
= ( Y0 @ X12 ) )
& ( ( Y0 @ X22 )
= ( Y0 @ X24 ) )
& ( ( Y0 @ X2 )
= ( Y0 @ X4 ) ) )
=> ( ( Y0 @ X14 )
!= ( Y0 @ X20 ) ) )
& ( ( ( ( Y0 @ X18 )
= ( Y0 @ X24 ) )
& ( ( Y0 @ X6 )
= ( Y0 @ X8 ) )
& ( ( Y0 @ X2 )
= ( Y0 @ X4 ) ) )
=> ( ( Y0 @ X10 )
= ( Y0 @ X16 ) ) ) )
=> ( ( ( Y0 @ X22 )
!= ( Y0 @ X24 ) )
| ( ( Y0 @ X18 )
!= ( Y0 @ X20 ) )
| ( ( Y0 @ X14 )
!= ( Y0 @ X16 ) )
| ( ( Y0 @ X10 )
!= ( Y0 @ X12 ) )
| ( ( Y0 @ X6 )
!= ( Y0 @ X8 ) )
| ( ( Y0 @ X2 )
!= ( Y0 @ X4 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
~ ( ( ( ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X12 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X6 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) ) )
=> ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X14 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) ) )
& ( ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X22 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) ) )
=> ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) ) )
& ( ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X6 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X12 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X14 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X4 ) ) )
=> ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) ) )
& ( ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X14 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X12 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X14 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X12 ) ) )
=> ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) ) )
& ( ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X6 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X12 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X22 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X4 ) ) )
=> ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X14 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) ) )
& ( ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X6 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X4 ) ) )
=> ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) ) ) )
=> ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X22 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X14 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X12 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X6 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X4 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
( ( ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X12 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X6 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) ) )
=> ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X14 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) ) )
& ( ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X22 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) ) )
=> ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) ) )
& ( ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X6 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X12 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X14 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X4 ) ) )
=> ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) ) )
& ( ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X14 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X12 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X14 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X12 ) ) )
=> ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) ) )
& ( ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X6 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X12 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X22 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X4 ) ) )
=> ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X14 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) ) )
& ( ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X6 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X4 ) ) )
=> ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
( ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X22 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) ) )
=> ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl31,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
( ~ ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X22 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl44,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
( ~ ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X22 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
& ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl45,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X22 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl55,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X22 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
~ ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X22 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X14 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X12 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X6 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
~ ( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X22 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl36,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X22 )
= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X24 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl60,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
( ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X2 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X8 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X18 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X20 ) )
| ( ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X10 )
!= ( '#sk1' @ X2 @ X4 @ X6 @ X8 @ X10 @ X12 @ X14 @ X16 @ X18 @ X20 @ X22 @ X24 @ X16 ) ) ),
inference('simplify_reflect+',[status(thm)],[zip_derived_cl55,zip_derived_cl36]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ( ( '#sk1' @ X8 @ X10 @ X9 @ X8 @ X0 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 )
!= ( '#sk1' @ X8 @ X10 @ X9 @ X8 @ X0 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X5 ) )
| ( ( '#sk1' @ X8 @ X10 @ X9 @ X8 @ X0 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X4 )
!= ( '#sk1' @ X8 @ X10 @ X9 @ X8 @ X0 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X3 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( '#sk1' @ X7 @ X9 @ X8 @ X7 @ X4 @ X6 @ X5 @ X4 @ X0 @ X3 @ X2 @ X1 @ X0 )
!= ( '#sk1' @ X7 @ X9 @ X8 @ X7 @ X4 @ X6 @ X5 @ X4 @ X0 @ X3 @ X2 @ X1 @ X3 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl85,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ093^5 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JSTW7p0lV5 true
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 15:08:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.44/0.60 % Total configuration time : 828
% 0.44/0.60 % Estimated wc time : 1656
% 0.44/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.94 % Solved by lams/15_e_short1.sh.
% 0.50/0.94 % done 3 iterations in 0.130s
% 0.50/0.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.94 % SZS output start Refutation
% See solution above
% 0.50/0.95
% 0.50/0.95
% 0.50/0.95 % Terminating...
% 1.65/1.07 % Runner terminated.
% 1.69/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------