TSTP Solution File: LCL600^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL600^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wck3kORxo0 true
% Computer : n009.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 09:00:20 EDT 2023
% Result : Theorem 1.38s 1.28s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 32
% Syntax : Number of formulae : 123 ( 36 unt; 15 typ; 0 def)
% Number of atoms : 562 ( 20 equ; 14 cnn)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 1609 ( 149 ~; 172 |; 46 &; 964 @)
% ( 5 <=>; 113 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 111 ( 111 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 15 usr; 9 con; 0-3 aty)
% ( 160 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 369 ( 196 ^; 173 !; 0 ?; 369 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf('#sk14_type',type,
'#sk14': ( $i > $o ) > $i > $i ).
thf(transitive_type,type,
transitive: ( $i > $i > $o ) > $o ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#form200_type',type,
'#form200': $o ).
thf('#sk202_type',type,
'#sk202': $i ).
thf('#sk201_type',type,
'#sk201': $i ).
thf('#sk205_type',type,
'#sk205': $i ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf('#sk199_type',type,
'#sk199': $i > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk203_type',type,
'#sk203': $i ).
thf('#sk204_type',type,
'#sk204': $i ).
thf(transitive,axiom,
( transitive
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ) ).
thf('0',plain,
( transitive
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive]) ).
thf('1',plain,
( transitive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ) ).
thf('2',plain,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('3',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('4',plain,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('5',plain,
( mbox
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_1 @ V_3 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimpl,axiom,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('6',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('7',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ) ).
thf('8',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('9',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimpl,'7','9']) ).
thf('11',plain,
( mimpl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [R: $i > $i > $o] :
( ! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ R @ A ) @ ( mbox @ R @ ( mbox @ R @ A ) ) ) )
<=> ( transitive @ R ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ! [X6: $i > $o,X8: $i] :
( ! [X12: $i] :
( ( X4 @ X8 @ X12 )
=> ! [X14: $i] :
( ( X4 @ X12 @ X14 )
=> ( X6 @ X14 ) ) )
| ~ ! [X10: $i] :
( ( X4 @ X8 @ X10 )
=> ( X6 @ X10 ) ) )
<=> ! [X16: $i,X18: $i,X20: $i] :
( ( ( X4 @ X18 @ X20 )
& ( X4 @ X16 @ X18 ) )
=> ( X4 @ X16 @ X20 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ! [X6: $i > $o,X8: $i] :
( ! [X12: $i] :
( ( X4 @ X8 @ X12 )
=> ! [X14: $i] :
( ( X4 @ X12 @ X14 )
=> ( X6 @ X14 ) ) )
| ~ ! [X10: $i] :
( ( X4 @ X8 @ X10 )
=> ( X6 @ X10 ) ) )
<=> ! [X16: $i,X18: $i,X20: $i] :
( ( ( X4 @ X18 @ X20 )
& ( X4 @ X16 @ X18 ) )
=> ( X4 @ X16 @ X20 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( !!
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) )
<=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) )
<=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) )
!= ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
( ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl124,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( '#sk199' @ Y2 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk199' @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl125,plain,
( '#form200'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl126,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ '#sk201' @ Y0 ) )
=> ( '#sk1' @ '#sk201' @ Y1 ) ) ) )
| '#form200' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl125]) ).
thf(zip_derived_cl129,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk203' @ Y0 )
& ( '#sk1' @ '#sk201' @ '#sk203' ) )
=> ( '#sk1' @ '#sk201' @ Y0 ) ) )
| '#form200' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl126]) ).
thf(zip_derived_cl132,plain,
( ~ ( ( ( '#sk1' @ '#sk203' @ '#sk204' )
& ( '#sk1' @ '#sk201' @ '#sk203' ) )
=> ( '#sk1' @ '#sk201' @ '#sk204' ) )
| '#form200' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl136,plain,
( ~ ( '#sk1' @ '#sk201' @ '#sk204' )
| '#form200' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl124_001,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( '#sk199' @ Y2 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk199' @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl125_002,plain,
( '#form200'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl127,plain,
( ~ '#form200'
| ~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( '#sk199' @ Y2 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk199' @ Y1 ) ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl124,zip_derived_cl125]) ).
thf(zip_derived_cl128,plain,
( ~ ( ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk202' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk199' @ Y1 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk202' @ Y0 )
=> ( '#sk199' @ Y0 ) ) ) ) )
| ~ '#form200' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl131,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk202' @ Y0 )
=> ( '#sk199' @ Y0 ) ) )
| ~ '#form200' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl128]) ).
thf(zip_derived_cl134,plain,
! [X2: $i] :
( ( ( '#sk1' @ '#sk202' @ X2 )
=> ( '#sk199' @ X2 ) )
| ~ '#form200' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl139,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk202' @ X2 )
| ( '#sk199' @ X2 )
| ~ '#form200' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl130,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk202' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk199' @ Y1 ) ) ) ) )
| ~ '#form200' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl128]) ).
thf(zip_derived_cl133,plain,
( ~ ( ( '#sk1' @ '#sk202' @ '#sk205' )
=> ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk205' @ Y0 )
=> ( '#sk199' @ Y0 ) ) ) )
| ~ '#form200' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl138,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk205' @ Y0 )
=> ( '#sk199' @ Y0 ) ) )
| ~ '#form200' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl133]) ).
thf(zip_derived_cl142,plain,
( ~ ( ( '#sk1' @ '#sk205' @ ( '#sk14' @ '#sk199' @ '#sk205' ) )
=> ( '#sk199' @ ( '#sk14' @ '#sk199' @ '#sk205' ) ) )
| ~ '#form200' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl138]) ).
thf(zip_derived_cl143,plain,
( ( '#sk1' @ '#sk205' @ ( '#sk14' @ '#sk199' @ '#sk205' ) )
| ~ '#form200' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl142]) ).
thf(zip_derived_cl2_003,plain,
( ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) )
!= ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
! [X2: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( X2 @ Y2 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( ( '#sk1' @ Y3 @ Y4 )
& ( '#sk1' @ Y2 @ Y3 ) )
=> ( '#sk1' @ Y2 @ Y4 ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( '#sk1' @ Y2 @ Y3 )
& ( '#sk1' @ Y1 @ Y2 ) )
=> ( '#sk1' @ Y1 @ Y3 ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl145,plain,
( ~ '#form200'
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl146,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ X2 @ Y1 ) ) ) )
| ~ '#form200' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl145]) ).
thf(zip_derived_cl149,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ X4 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ Y0 ) ) )
| ~ '#form200' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl151,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ X6 ) )
| ~ '#form200' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl149]) ).
thf(zip_derived_cl153,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X2 @ X6 )
| ~ '#form200' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl155,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ~ '#form200'
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl239,plain,
! [X0: $i] :
( ~ '#form200'
| ( '#sk1' @ X0 @ ( '#sk14' @ '#sk199' @ '#sk205' ) )
| ~ '#form200'
| ~ ( '#sk1' @ X0 @ '#sk205' ) ),
inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl155]) ).
thf(zip_derived_cl249,plain,
! [X0: $i] :
( ~ ( '#sk1' @ X0 @ '#sk205' )
| ( '#sk1' @ X0 @ ( '#sk14' @ '#sk199' @ '#sk205' ) )
| ~ '#form200' ),
inference(simplify,[status(thm)],[zip_derived_cl239]) ).
thf(zip_derived_cl269,plain,
( ~ '#form200'
| ( '#sk199' @ ( '#sk14' @ '#sk199' @ '#sk205' ) )
| ~ '#form200'
| ~ ( '#sk1' @ '#sk202' @ '#sk205' ) ),
inference('sup+',[status(thm)],[zip_derived_cl139,zip_derived_cl249]) ).
thf(zip_derived_cl281,plain,
( ~ ( '#sk1' @ '#sk202' @ '#sk205' )
| ( '#sk199' @ ( '#sk14' @ '#sk199' @ '#sk205' ) )
| ~ '#form200' ),
inference(simplify,[status(thm)],[zip_derived_cl269]) ).
thf(zip_derived_cl137,plain,
( ( '#sk1' @ '#sk202' @ '#sk205' )
| ~ '#form200' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl133]) ).
thf(zip_derived_cl287,plain,
( ~ '#form200'
| ( '#sk199' @ ( '#sk14' @ '#sk199' @ '#sk205' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl281,zip_derived_cl137]) ).
thf(zip_derived_cl144,plain,
( ~ ( '#sk199' @ ( '#sk14' @ '#sk199' @ '#sk205' ) )
| ~ '#form200' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl142]) ).
thf(zip_derived_cl288,plain,
~ '#form200',
inference(clc,[status(thm)],[zip_derived_cl287,zip_derived_cl144]) ).
thf(zip_derived_cl289,plain,
~ ( '#sk1' @ '#sk201' @ '#sk204' ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl288]) ).
thf(zip_derived_cl135,plain,
( ( ( '#sk1' @ '#sk203' @ '#sk204' )
& ( '#sk1' @ '#sk201' @ '#sk203' ) )
| '#form200' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl141,plain,
( ( '#sk1' @ '#sk201' @ '#sk203' )
| '#form200' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl288_004,plain,
~ '#form200',
inference(clc,[status(thm)],[zip_derived_cl287,zip_derived_cl144]) ).
thf(zip_derived_cl291,plain,
'#sk1' @ '#sk201' @ '#sk203',
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl288]) ).
thf(zip_derived_cl291_005,plain,
'#sk1' @ '#sk201' @ '#sk203',
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl288]) ).
thf(zip_derived_cl140,plain,
( ( '#sk1' @ '#sk203' @ '#sk204' )
| '#form200' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl288_006,plain,
~ '#form200',
inference(clc,[status(thm)],[zip_derived_cl287,zip_derived_cl144]) ).
thf(zip_derived_cl290,plain,
'#sk1' @ '#sk203' @ '#sk204',
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl288]) ).
thf(zip_derived_cl5_007,plain,
! [X2: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( X2 @ Y2 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: $i > $o,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X4 @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y1 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X2: $i > $o,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X4 @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X2: $i > $o,X4: $i,X6: $i] :
( ( ( '#sk1' @ X4 @ X6 )
=> ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X6 @ Y0 )
=> ( X2 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X2: $i > $o,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X4 @ X6 )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X6 @ Y0 )
=> ( X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i] :
( ( ( '#sk1' @ X6 @ X8 )
=> ( X2 @ X8 ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) )
| ~ ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i] :
( ~ ( '#sk1' @ X6 @ X8 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl13,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i] :
( ~ ( ( '#sk1' @ X4 @ ( '#sk14' @ X2 @ X4 ) )
=> ( X2 @ ( '#sk14' @ X2 @ X4 ) ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( '#sk1' @ X4 @ X6 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X6 @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i] :
( ( '#sk1' @ X4 @ ( '#sk14' @ X2 @ X4 ) )
| ~ ( '#sk1' @ X6 @ X8 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X4 @ X6 )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl16,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i,X10: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ X10 @ Y0 ) )
=> ( '#sk1' @ X10 @ Y1 ) ) ) )
| ~ ( '#sk1' @ X4 @ X6 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X6 @ X8 )
| ( '#sk1' @ X4 @ ( '#sk14' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl18,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ X12 @ Y0 )
& ( '#sk1' @ X10 @ X12 ) )
=> ( '#sk1' @ X10 @ Y0 ) ) )
| ( '#sk1' @ X4 @ ( '#sk14' @ X2 @ X4 ) )
| ~ ( '#sk1' @ X6 @ X8 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl20,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
( ( ( ( '#sk1' @ X12 @ X14 )
& ( '#sk1' @ X10 @ X12 ) )
=> ( '#sk1' @ X10 @ X14 ) )
| ~ ( '#sk1' @ X4 @ X6 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X6 @ X8 )
| ( '#sk1' @ X4 @ ( '#sk14' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl22,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
( ~ ( ( '#sk1' @ X12 @ X14 )
& ( '#sk1' @ X10 @ X12 ) )
| ( '#sk1' @ X10 @ X14 )
| ( '#sk1' @ X4 @ ( '#sk14' @ X2 @ X4 ) )
| ~ ( '#sk1' @ X6 @ X8 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl24,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
( ~ ( '#sk1' @ X12 @ X14 )
| ~ ( '#sk1' @ X10 @ X12 )
| ~ ( '#sk1' @ X4 @ X6 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X6 @ X8 )
| ( '#sk1' @ X4 @ ( '#sk14' @ X2 @ X4 ) )
| ( '#sk1' @ X10 @ X14 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i > $o] :
( ( '#sk1' @ X2 @ X0 )
| ( '#sk1' @ X3 @ ( '#sk14' @ X4 @ X3 ) )
| ~ ( '#sk1' @ X1 @ X0 )
| ( X4 @ X0 )
| ~ ( '#sk1' @ X3 @ X1 )
| ~ ( '#sk1' @ X2 @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl297,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ~ ( '#sk1' @ X0 @ '#sk203' )
| ~ ( '#sk1' @ X1 @ '#sk203' )
| ( X2 @ '#sk204' )
| ( '#sk1' @ X1 @ ( '#sk14' @ X2 @ X1 ) )
| ( '#sk1' @ X0 @ '#sk204' ) ),
inference('sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl28]) ).
thf(zip_derived_cl379,plain,
! [X0: $i,X1: $i > $o] :
( ( '#sk1' @ '#sk201' @ '#sk204' )
| ( '#sk1' @ X0 @ ( '#sk14' @ X1 @ X0 ) )
| ( X1 @ '#sk204' )
| ~ ( '#sk1' @ X0 @ '#sk203' ) ),
inference('sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl297]) ).
thf(zip_derived_cl289_008,plain,
~ ( '#sk1' @ '#sk201' @ '#sk204' ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl288]) ).
thf(zip_derived_cl383,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( '#sk1' @ X0 @ '#sk203' )
| ( X1 @ '#sk204' )
| ( '#sk1' @ X0 @ ( '#sk14' @ X1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl379,zip_derived_cl289]) ).
thf(zip_derived_cl384,plain,
! [X0: $i > $o] :
( ( '#sk1' @ '#sk201' @ ( '#sk14' @ X0 @ '#sk201' ) )
| ( X0 @ '#sk204' ) ),
inference('sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl383]) ).
thf(zip_derived_cl291_009,plain,
'#sk1' @ '#sk201' @ '#sk203',
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl288]) ).
thf(zip_derived_cl291_010,plain,
'#sk1' @ '#sk201' @ '#sk203',
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl288]) ).
thf(zip_derived_cl290_011,plain,
'#sk1' @ '#sk203' @ '#sk204',
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl288]) ).
thf(zip_derived_cl15,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i] :
( ~ ( X2 @ ( '#sk14' @ X2 @ X4 ) )
| ~ ( '#sk1' @ X6 @ X8 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X4 @ X6 )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl17,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i,X10: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ X10 @ Y0 ) )
=> ( '#sk1' @ X10 @ Y1 ) ) ) )
| ~ ( '#sk1' @ X4 @ X6 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X6 @ X8 )
| ~ ( X2 @ ( '#sk14' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl19,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ X12 @ Y0 )
& ( '#sk1' @ X10 @ X12 ) )
=> ( '#sk1' @ X10 @ Y0 ) ) )
| ~ ( X2 @ ( '#sk14' @ X2 @ X4 ) )
| ~ ( '#sk1' @ X6 @ X8 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl21,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
( ( ( ( '#sk1' @ X12 @ X14 )
& ( '#sk1' @ X10 @ X12 ) )
=> ( '#sk1' @ X10 @ X14 ) )
| ~ ( '#sk1' @ X4 @ X6 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X6 @ X8 )
| ~ ( X2 @ ( '#sk14' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl23,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
( ~ ( ( '#sk1' @ X12 @ X14 )
& ( '#sk1' @ X10 @ X12 ) )
| ( '#sk1' @ X10 @ X14 )
| ~ ( X2 @ ( '#sk14' @ X2 @ X4 ) )
| ~ ( '#sk1' @ X6 @ X8 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl25,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
( ~ ( '#sk1' @ X12 @ X14 )
| ~ ( '#sk1' @ X10 @ X12 )
| ~ ( '#sk1' @ X4 @ X6 )
| ( X2 @ X8 )
| ~ ( '#sk1' @ X6 @ X8 )
| ~ ( X2 @ ( '#sk14' @ X2 @ X4 ) )
| ( '#sk1' @ X10 @ X14 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i > $o,X4: $i] :
( ( '#sk1' @ X2 @ X0 )
| ~ ( X3 @ ( '#sk14' @ X3 @ X4 ) )
| ~ ( '#sk1' @ X1 @ X0 )
| ( X3 @ X0 )
| ~ ( '#sk1' @ X4 @ X1 )
| ~ ( '#sk1' @ X2 @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl295,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ~ ( '#sk1' @ X0 @ '#sk203' )
| ~ ( '#sk1' @ X1 @ '#sk203' )
| ( X2 @ '#sk204' )
| ~ ( X2 @ ( '#sk14' @ X2 @ X1 ) )
| ( '#sk1' @ X0 @ '#sk204' ) ),
inference('sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl62]) ).
thf(zip_derived_cl342,plain,
! [X0: $i > $o,X1: $i] :
( ( '#sk1' @ '#sk201' @ '#sk204' )
| ~ ( X0 @ ( '#sk14' @ X0 @ X1 ) )
| ( X0 @ '#sk204' )
| ~ ( '#sk1' @ X1 @ '#sk203' ) ),
inference('sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl295]) ).
thf(zip_derived_cl289_012,plain,
~ ( '#sk1' @ '#sk201' @ '#sk204' ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl288]) ).
thf(zip_derived_cl350,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( '#sk1' @ X1 @ '#sk203' )
| ( X0 @ '#sk204' )
| ~ ( X0 @ ( '#sk14' @ X0 @ X1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl342,zip_derived_cl289]) ).
thf(zip_derived_cl351,plain,
! [X0: $i > $o] :
( ~ ( X0 @ ( '#sk14' @ X0 @ '#sk201' ) )
| ( X0 @ '#sk204' ) ),
inference('sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl350]) ).
thf(zip_derived_cl399,plain,
( ( '#sk1' @ '#sk201' @ '#sk204' )
| ( '#sk1' @ '#sk201' @ '#sk204' ) ),
inference('sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl351]) ).
thf(zip_derived_cl420,plain,
'#sk1' @ '#sk201' @ '#sk204',
inference(simplify,[status(thm)],[zip_derived_cl399]) ).
thf(zip_derived_cl422,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl289,zip_derived_cl420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL600^1 : TPTP v8.1.2. Released v3.6.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wck3kORxo0 true
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 06:34:36 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.09/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.09/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.09/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.09/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.09/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.34/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.34/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.34/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.38/1.28 % Solved by lams/20_acsne_simpl.sh.
% 1.38/1.28 % done 62 iterations in 0.463s
% 1.38/1.28 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/1.28 % SZS output start Refutation
% See solution above
% 1.38/1.28
% 1.38/1.28
% 1.38/1.28 % Terminating...
% 5.64/1.40 % Runner terminated.
% 5.64/1.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------