TSTP Solution File: SYO325^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO325^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dbPzZXrZa5 true
% Computer : n029.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 : Fri Sep 1 05:50:42 EDT 2023
% Result : Theorem 52.56s 7.49s
% Output : Refutation 52.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 78 ( 14 unt; 9 typ; 0 def)
% Number of atoms : 566 ( 13 equ; 0 cnn)
% Maximal formula atoms : 25 ( 8 avg)
% Number of connectives : 1646 ( 47 ~; 57 |; 102 &;1031 @)
% ( 0 <=>; 171 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 12 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 161 ( 161 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 8 usr; 5 con; 0-2 aty)
% ( 142 !!; 96 ??; 0 @@+; 0 @@-)
% Number of variables : 393 ( 312 ^; 77 !; 4 ?; 393 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#l_lift22555_type',type,
'#l_lift22555': a > $o ).
thf('#sk122_type',type,
'#sk122': ( a > $o ) > a ).
thf('#sk128_type',type,
'#sk128': ( a > $o ) > a > $o ).
thf('#sk55_type',type,
'#sk55': ( a > $o ) > a ).
thf(cK_type,type,
cK: ( a > $o ) > a > $o ).
thf('#form534_type',type,
'#form534': $o ).
thf('#sk12_type',type,
'#sk12': ( a > $o ) > ( a > $o ) > a ).
thf('#sk1_type',type,
'#sk1': a ).
thf(cTHM116_1SS,conjecture,
( ! [X: a > $o,Y: a > $o] :
( ! [Xx: a] :
( ( X @ Xx )
=> ( Y @ Xx ) )
=> ! [Xx: a] :
( ( cK @ X @ Xx )
=> ( cK @ Y @ Xx ) ) )
=> ! [Xx: a] :
( ( cK
@ ^ [Xx0: a] :
? [S: a > $o] :
( ! [Xx1: a] :
( ( S @ Xx1 )
=> ( cK @ S @ Xx1 ) )
& ( S @ Xx0 ) )
@ Xx )
=> ( cK
@ ( cK
@ ^ [Xx0: a] :
? [S: a > $o] :
( ! [Xx1: a] :
( ( S @ Xx1 )
=> ( cK @ S @ Xx1 ) )
& ( S @ Xx0 ) ) )
@ Xx ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [X: a > $o,Y: a > $o] :
( ! [Xx: a] :
( ( X @ Xx )
=> ( Y @ Xx ) )
=> ! [Xx: a] :
( ( cK @ X @ Xx )
=> ( cK @ Y @ Xx ) ) )
=> ! [Xx: a] :
( ( cK
@ ^ [Xx0: a] :
? [S: a > $o] :
( ! [Xx1: a] :
( ( S @ Xx1 )
=> ( cK @ S @ Xx1 ) )
& ( S @ Xx0 ) )
@ Xx )
=> ( cK
@ ( cK
@ ^ [Xx0: a] :
? [S: a > $o] :
( ! [Xx1: a] :
( ( S @ Xx1 )
=> ( cK @ S @ Xx1 ) )
& ( S @ Xx0 ) ) )
@ Xx ) ) ),
inference('cnf.neg',[status(esa)],[cTHM116_1SS]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( cK @ X2 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl17,plain,
( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
=> ( Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( cK
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( cK @ Y3 @ Y4 ) ) )
& ( Y3 @ Y2 ) ) )
@ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl37,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
=> ( X2 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl38,plain,
( ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl174,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl175,plain,
( ~ ( ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0
@ ( '#sk122'
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) )
=> ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ ( '#sk122'
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl174]) ).
thf(zip_derived_cl176,plain,
( '#form534'
| ~ ( ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0
@ ( '#sk122'
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) )
=> ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ ( '#sk122'
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl178,plain,
( ~ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ ( '#sk122'
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) )
| '#form534' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl176]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' )
=> ( cK
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) )
@ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6802,plain,
! [X1: a] :
( ( '#l_lift22555' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6802_001,plain,
! [X1: a] :
( ( '#l_lift22555' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6815,plain,
( ~ ( cK @ '#l_lift22555' @ ( '#sk122' @ ( cK @ '#l_lift22555' ) ) )
| '#form534' ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl178,zip_derived_cl6802,zip_derived_cl6802]) ).
thf(zip_derived_cl3_002,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( cK @ X2 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: a > $o,X4: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( X4 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cK @ X2 @ Y0 )
=> ( cK @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl16,plain,
! [X0: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( X0 @ Y0 )
=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cK @ X0 @ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl18,plain,
! [X0: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X0 @ Y0 )
=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X0 @ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl19,plain,
! [X0: a > $o] :
( ~ ( ( X0 @ ( '#sk55' @ X0 ) )
=> ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk55' @ X0 ) ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X0 @ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl21,plain,
! [X0: a > $o] :
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk55' @ X0 ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X0 @ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl23,plain,
! [X0: a > $o,X2: a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) )
& ( X2 @ ( '#sk55' @ X0 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X0 @ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl26,plain,
! [X0: a > $o,X2: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) )
| ~ ( X2 @ ( '#sk55' @ X0 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X0 @ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl27,plain,
! [X0: a > $o,X2: a > $o] :
( ~ ( ( X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
=> ( cK @ X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X0 @ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
| ~ ( X2 @ ( '#sk55' @ X0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl29,plain,
! [X0: a > $o,X2: a > $o] :
( ~ ( cK @ X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
| ~ ( X2 @ ( '#sk55' @ X0 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X0 @ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl31,plain,
! [X0: a > $o,X2: a > $o,X4: a] :
( ( ( cK @ X0 @ X4 )
=> ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 ) )
| ~ ( X2 @ ( '#sk55' @ X0 ) )
| ~ ( cK @ X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl33,plain,
! [X0: a > $o,X2: a > $o,X4: a] :
( ~ ( cK @ X0 @ X4 )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 )
| ~ ( cK @ X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
| ~ ( X2 @ ( '#sk55' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl6802_003,plain,
! [X1: a] :
( ( '#l_lift22555' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6807,plain,
! [X0: a > $o,X2: a > $o,X4: a] :
( ~ ( cK @ X0 @ X4 )
| ( cK @ '#l_lift22555' @ X4 )
| ~ ( cK @ X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
| ~ ( X2 @ ( '#sk55' @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl33,zip_derived_cl6802]) ).
thf(zip_derived_cl20,plain,
! [X0: a > $o] :
( ( X0 @ ( '#sk55' @ X0 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X0 @ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl22,plain,
! [X0: a > $o,X2: a] :
( ( ( cK @ X0 @ X2 )
=> ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 ) )
| ( X0 @ ( '#sk55' @ X0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl25,plain,
! [X0: a > $o,X2: a] :
( ~ ( cK @ X0 @ X2 )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
| ( X0 @ ( '#sk55' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl6802_004,plain,
! [X1: a] :
( ( '#l_lift22555' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6805,plain,
! [X0: a > $o,X2: a] :
( ~ ( cK @ X0 @ X2 )
| ( cK @ '#l_lift22555' @ X2 )
| ( X0 @ ( '#sk55' @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl25,zip_derived_cl6802]) ).
thf(zip_derived_cl177,plain,
( ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0
@ ( '#sk122'
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) )
| '#form534' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl176]) ).
thf(zip_derived_cl181,plain,
( ( ( !!
@ ^ [Y0: a] :
( ( '#sk128'
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 )
=> ( cK
@ ( '#sk128'
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) )
@ Y0 ) ) )
& ( '#sk128'
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) )
@ ( '#sk122'
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) )
| '#form534' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl177]) ).
thf(zip_derived_cl184,plain,
( ( '#sk128'
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) )
@ ( '#sk122'
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) )
| '#form534' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl6802_005,plain,
! [X1: a] :
( ( '#l_lift22555' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6802_006,plain,
! [X1: a] :
( ( '#l_lift22555' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6817,plain,
( ( '#sk128' @ ( cK @ '#l_lift22555' ) @ ( '#sk122' @ ( cK @ '#l_lift22555' ) ) )
| '#form534' ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl184,zip_derived_cl6802,zip_derived_cl6802]) ).
thf(zip_derived_cl28,plain,
! [X0: a > $o,X2: a > $o] :
( ( X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
| ~ ( X2 @ ( '#sk55' @ X0 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X0 @ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl30,plain,
! [X0: a > $o,X2: a > $o,X4: a] :
( ( ( cK @ X0 @ X4 )
=> ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 ) )
| ~ ( X2 @ ( '#sk55' @ X0 ) )
| ( X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl32,plain,
! [X0: a > $o,X2: a > $o,X4: a] :
( ~ ( cK @ X0 @ X4 )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 )
| ( X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
| ~ ( X2 @ ( '#sk55' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl6802_007,plain,
! [X1: a] :
( ( '#l_lift22555' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6806,plain,
! [X0: a > $o,X2: a > $o,X4: a] :
( ~ ( cK @ X0 @ X4 )
| ( cK @ '#l_lift22555' @ X4 )
| ( X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
| ~ ( X2 @ ( '#sk55' @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl32,zip_derived_cl6802]) ).
thf(zip_derived_cl6_008,plain,
( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6802_009,plain,
! [X1: a] :
( ( '#l_lift22555' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6803,plain,
cK @ '#l_lift22555' @ '#sk1',
inference(lambda_lifting,[status(thm)],[zip_derived_cl6,zip_derived_cl6802]) ).
thf(zip_derived_cl183,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk128'
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 )
=> ( cK
@ ( '#sk128'
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) )
@ Y0 ) ) )
| '#form534' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl185,plain,
! [X2: a] :
( ( ( '#sk128'
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) )
@ X2 )
=> ( cK
@ ( '#sk128'
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
@ X2 ) )
| '#form534' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl183]) ).
thf(zip_derived_cl186,plain,
! [X2: a] :
( ~ ( '#sk128'
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) )
@ X2 )
| ( cK
@ ( '#sk128'
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
@ X2 )
| '#form534' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl6802_010,plain,
! [X1: a] :
( ( '#l_lift22555' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6802_011,plain,
! [X1: a] :
( ( '#l_lift22555' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6818,plain,
! [X2: a] :
( ~ ( '#sk128' @ ( cK @ '#l_lift22555' ) @ X2 )
| ( cK @ ( '#sk128' @ ( cK @ '#l_lift22555' ) ) @ X2 )
| '#form534' ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl186,zip_derived_cl6802,zip_derived_cl6802]) ).
thf(zip_derived_cl7,plain,
~ ( cK
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) )
@ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6802_012,plain,
! [X1: a] :
( ( '#l_lift22555' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6804,plain,
~ ( cK @ ( cK @ '#l_lift22555' ) @ '#sk1' ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl7,zip_derived_cl6802]) ).
thf(zip_derived_cl175_013,plain,
( ~ ( ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0
@ ( '#sk122'
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) )
=> ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ ( '#sk122'
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl174]) ).
thf(zip_derived_cl176_014,plain,
( '#form534'
| ~ ( ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0
@ ( '#sk122'
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) )
=> ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ ( '#sk122'
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl179,plain,
( ~ '#form534'
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl175,zip_derived_cl176]) ).
thf(zip_derived_cl180,plain,
! [X2: a] :
( ( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
=> ( cK
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) )
@ X2 ) )
| ~ '#form534' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl179]) ).
thf(zip_derived_cl182,plain,
! [X2: a] :
( ~ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
| ( cK
@ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) )
@ X2 )
| ~ '#form534' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl6802_015,plain,
! [X1: a] :
( ( '#l_lift22555' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6802_016,plain,
! [X1: a] :
( ( '#l_lift22555' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6816,plain,
! [X2: a] :
( ~ ( cK @ '#l_lift22555' @ X2 )
| ( cK @ ( cK @ '#l_lift22555' ) @ X2 )
| ~ '#form534' ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl182,zip_derived_cl6802,zip_derived_cl6802]) ).
thf(zip_derived_cl6832,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl6815,zip_derived_cl6807,zip_derived_cl6805,zip_derived_cl6817,zip_derived_cl6806,zip_derived_cl6803,zip_derived_cl6818,zip_derived_cl6804,zip_derived_cl6816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO325^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dbPzZXrZa5 true
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 04:53:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.23/0.70 % Total configuration time : 828
% 0.23/0.70 % Estimated wc time : 1656
% 0.23/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 52.56/7.49 % Solved by lams/20_acsne_simpl.sh.
% 52.56/7.49 % done 333 iterations in 6.657s
% 52.56/7.49 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 52.56/7.49 % SZS output start Refutation
% See solution above
% 52.56/7.49
% 52.56/7.49
% 52.56/7.49 % Terminating...
% 53.01/7.63 % Runner terminated.
% 53.01/7.63 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------