TSTP Solution File: SEV243^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV243^5 : 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.1Qr8gAllTa true
% Computer : n006.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 20:00:10 EDT 2023
% Result : Theorem 50.94s 7.20s
% Output : Refutation 50.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 102 ( 18 unt; 10 typ; 0 def)
% Number of atoms : 550 ( 17 equ; 0 cnn)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 1763 ( 82 ~; 96 |; 92 &;1091 @)
% ( 5 <=>; 170 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 11 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 195 ( 195 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 5 con; 0-2 aty)
% ( 143 !!; 84 ??; 0 @@+; 0 @@-)
% Number of variables : 413 ( 277 ^; 132 !; 4 ?; 413 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk1_type',type,
'#sk1': a ).
thf('#sk12_type',type,
'#sk12': ( a > $o ) > ( a > $o ) > a ).
thf('#l_lift29753_type',type,
'#l_lift29753': a > $o ).
thf('#sk55_type',type,
'#sk55': ( a > $o ) > a ).
thf('#sk61_type',type,
'#sk61': ( a > $o ) > a > $o ).
thf(cK_type,type,
cK: ( a > $o ) > a > $o ).
thf('#form1220_type',type,
'#form1220': $o ).
thf('#sk101_type',type,
'#sk101': ( a > $o ) > a ).
thf('#sk906_type',type,
'#sk906': a > $o ).
thf(cTHM116_C_pme,conjecture,
( ! [Y: a > $o,X: 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 )
<=> ? [S: a > $o] :
( ! [Xx0: a] :
( ( S @ Xx0 )
=> ( cK @ S @ Xx0 ) )
& ( S @ Xx ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [Y: a > $o,X: 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 )
<=> ? [S: a > $o] :
( ! [Xx0: a] :
( ( S @ Xx0 )
=> ( cK @ S @ Xx0 ) )
& ( S @ Xx ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM116_C_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( cK @ Y0 @ Y2 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
<=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( cK @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X2 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( cK @ X2 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: a > $o,X4: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( X2 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cK @ X4 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( X2 @ Y0 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X4 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( ( X4 @ ( '#sk12' @ X2 @ X4 ) )
=> ( X2 @ ( '#sk12' @ X2 @ X4 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X4 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X2: a > $o,X4: a > $o] :
( ( X4 @ ( '#sk12' @ X2 @ X4 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X4 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl11,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ( ( cK @ X4 @ X6 )
=> ( cK @ X2 @ X6 ) )
| ( X4 @ ( '#sk12' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ~ ( cK @ X4 @ X6 )
| ( cK @ X2 @ X6 )
| ( X4 @ ( '#sk12' @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl5_001,plain,
! [X2: a > $o,X4: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( X2 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cK @ X4 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl15,plain,
! [X0: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
=> ( X0 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X0 @ Y0 ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl17,plain,
! [X0: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
=> ( X0 @ Y0 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X0 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl18,plain,
! [X0: a > $o] :
( ~ ( ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk55' @ X0 ) ) ) )
=> ( X0 @ ( '#sk55' @ X0 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X0 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl20,plain,
! [X0: a > $o] :
( ~ ( X0 @ ( '#sk55' @ X0 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X0 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl22,plain,
! [X0: a > $o,X2: a] :
( ( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
=> ( cK @ X0 @ X2 ) )
| ~ ( X0 @ ( '#sk55' @ X0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl25,plain,
! [X0: a > $o,X2: a] :
( ~ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
| ( cK @ X0 @ X2 )
| ~ ( X0 @ ( '#sk55' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
<=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ 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' )
<=> ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ 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' )
!= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7617,plain,
! [X1: a] :
( ( '#l_lift29753' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7619,plain,
! [X0: a > $o,X2: a] :
( ~ ( cK @ '#l_lift29753' @ X2 )
| ( cK @ X0 @ X2 )
| ~ ( X0 @ ( '#sk55' @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl25,zip_derived_cl7617]) ).
thf(zip_derived_cl19,plain,
! [X0: a > $o] :
( ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk55' @ X0 ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X0 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl21,plain,
! [X0: a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( ( '#sk61' @ X0 @ Y0 )
=> ( cK @ ( '#sk61' @ X0 ) @ Y0 ) ) )
& ( '#sk61' @ X0 @ ( '#sk55' @ X0 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X0 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
! [X0: a > $o] :
( ( '#sk61' @ X0 @ ( '#sk55' @ X0 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X0 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl27,plain,
! [X0: a > $o,X2: a] :
( ( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
=> ( cK @ X0 @ X2 ) )
| ( '#sk61' @ X0 @ ( '#sk55' @ X0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl29,plain,
! [X0: a > $o,X2: a] :
( ~ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
| ( cK @ X0 @ X2 )
| ( '#sk61' @ X0 @ ( '#sk55' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl7617_002,plain,
! [X1: a] :
( ( '#l_lift29753' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7620,plain,
! [X0: a > $o,X2: a] :
( ~ ( cK @ '#l_lift29753' @ X2 )
| ( cK @ X0 @ X2 )
| ( '#sk61' @ X0 @ ( '#sk55' @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl29,zip_derived_cl7617]) ).
thf(zip_derived_cl23,plain,
! [X0: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk61' @ X0 @ Y0 )
=> ( cK @ ( '#sk61' @ X0 ) @ Y0 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X0 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl26,plain,
! [X0: a > $o,X2: a] :
( ( ( '#sk61' @ X0 @ X2 )
=> ( cK @ ( '#sk61' @ X0 ) @ X2 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X0 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl28,plain,
! [X0: a > $o,X2: a] :
( ~ ( '#sk61' @ X0 @ X2 )
| ( cK @ ( '#sk61' @ X0 ) @ X2 )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X0 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl30,plain,
! [X0: a > $o,X2: a,X4: a] :
( ( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 )
=> ( cK @ X0 @ X4 ) )
| ( cK @ ( '#sk61' @ X0 ) @ X2 )
| ~ ( '#sk61' @ X0 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl31,plain,
! [X0: a > $o,X2: a,X4: a] :
( ~ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 )
| ( cK @ X0 @ X4 )
| ~ ( '#sk61' @ X0 @ X2 )
| ( cK @ ( '#sk61' @ X0 ) @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl7617_003,plain,
! [X1: a] :
( ( '#l_lift29753' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7621,plain,
! [X0: a > $o,X2: a,X4: a] :
( ~ ( cK @ '#l_lift29753' @ X4 )
| ( cK @ X0 @ X4 )
| ~ ( '#sk61' @ X0 @ X2 )
| ( cK @ ( '#sk61' @ X0 ) @ X2 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl31,zip_derived_cl7617]) ).
thf(zip_derived_cl3_004,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X2 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( cK @ X2 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl16,plain,
( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( cK
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( cK @ Y3 @ Y4 ) ) )
& ( Y3 @ Y2 ) ) )
@ Y1 ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl32,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cK @ X2 @ 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_cl16]) ).
thf(zip_derived_cl34,plain,
! [X2: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X2 @ 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_cl32]) ).
thf(zip_derived_cl35,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ ( '#sk101' @ X2 ) )
=> ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk101' @ X2 ) ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X2 @ 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_cl34]) ).
thf(zip_derived_cl37,plain,
! [X2: a > $o] :
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk101' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X2 @ 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_cl35]) ).
thf(zip_derived_cl39,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( cK @ X4 @ Y0 ) ) )
& ( X4 @ ( '#sk101' @ X2 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X2 @ 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_cl37]) ).
thf(zip_derived_cl42,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( cK @ X4 @ Y0 ) ) )
| ~ ( X4 @ ( '#sk101' @ X2 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X2 @ 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_cl39]) ).
thf(zip_derived_cl43,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( ( X4 @ ( '#sk12' @ ( cK @ X4 ) @ X4 ) )
=> ( cK @ X4 @ ( '#sk12' @ ( cK @ X4 ) @ X4 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X2 @ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
| ~ ( X4 @ ( '#sk101' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl44,plain,
! [X2: a > $o,X4: a > $o] :
( ( X4 @ ( '#sk12' @ ( cK @ X4 ) @ X4 ) )
| ~ ( X4 @ ( '#sk101' @ X2 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X2 @ 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_cl43]) ).
thf(zip_derived_cl46,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ( ( cK @ X2 @ X6 )
=> ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X6 ) )
| ~ ( X4 @ ( '#sk101' @ X2 ) )
| ( X4 @ ( '#sk12' @ ( cK @ X4 ) @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl48,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ~ ( cK @ X2 @ X6 )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X6 )
| ( X4 @ ( '#sk12' @ ( cK @ X4 ) @ X4 ) )
| ~ ( X4 @ ( '#sk101' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl7617_005,plain,
! [X1: a] :
( ( '#l_lift29753' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7623,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ~ ( cK @ X2 @ X6 )
| ( cK @ '#l_lift29753' @ X6 )
| ( X4 @ ( '#sk12' @ ( cK @ X4 ) @ X4 ) )
| ~ ( X4 @ ( '#sk101' @ X2 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl48,zip_derived_cl7617]) ).
thf(zip_derived_cl45,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( cK @ X4 @ ( '#sk12' @ ( cK @ X4 ) @ X4 ) )
| ~ ( X4 @ ( '#sk101' @ X2 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X2 @ 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_cl43]) ).
thf(zip_derived_cl47,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ( ( cK @ X2 @ X6 )
=> ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X6 ) )
| ~ ( X4 @ ( '#sk101' @ X2 ) )
| ~ ( cK @ X4 @ ( '#sk12' @ ( cK @ X4 ) @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl49,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ~ ( cK @ X2 @ X6 )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X6 )
| ~ ( cK @ X4 @ ( '#sk12' @ ( cK @ X4 ) @ X4 ) )
| ~ ( X4 @ ( '#sk101' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl7617_006,plain,
! [X1: a] :
( ( '#l_lift29753' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7624,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ~ ( cK @ X2 @ X6 )
| ( cK @ '#l_lift29753' @ X6 )
| ~ ( cK @ X4 @ ( '#sk12' @ ( cK @ X4 ) @ X4 ) )
| ~ ( X4 @ ( '#sk101' @ X2 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl49,zip_derived_cl7617]) ).
thf(zip_derived_cl36,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk101' @ X2 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X2 @ 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_cl35]) ).
thf(zip_derived_cl38,plain,
! [X2: a > $o,X4: a] :
( ( ( cK @ X2 @ X4 )
=> ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 ) )
| ( X2 @ ( '#sk101' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl41,plain,
! [X2: a > $o,X4: a] :
( ~ ( cK @ X2 @ X4 )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 )
| ( X2 @ ( '#sk101' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl7617_007,plain,
! [X1: a] :
( ( '#l_lift29753' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7622,plain,
! [X2: a > $o,X4: a] :
( ~ ( cK @ X2 @ X4 )
| ( cK @ '#l_lift29753' @ X4 )
| ( X2 @ ( '#sk101' @ X2 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl41,zip_derived_cl7617]) ).
thf(zip_derived_cl6_008,plain,
( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' )
!= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl232,plain,
( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' )
| ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl262,plain,
( ( ( !!
@ ^ [Y0: a] :
( ( '#sk906' @ Y0 )
=> ( cK @ '#sk906' @ Y0 ) ) )
& ( '#sk906' @ '#sk1' ) )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl232]) ).
thf(zip_derived_cl264,plain,
( ( '#sk906' @ '#sk1' )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl6_009,plain,
( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' )
!= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl267,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) )
| ( '#sk906' @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl6]) ).
thf(zip_derived_cl412,plain,
( '#form1220'
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl413,plain,
! [X2: a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) )
& ( X2 @ '#sk1' ) )
| '#form1220' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl412]) ).
thf(zip_derived_cl417,plain,
! [X2: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) )
| ~ ( X2 @ '#sk1' )
| '#form1220' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl413]) ).
thf(zip_derived_cl418,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ ( '#sk12' @ ( cK @ X2 ) @ X2 ) )
=> ( cK @ X2 @ ( '#sk12' @ ( cK @ X2 ) @ X2 ) ) )
| '#form1220'
| ~ ( X2 @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl417]) ).
thf(zip_derived_cl419,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk12' @ ( cK @ X2 ) @ X2 ) )
| ~ ( X2 @ '#sk1' )
| '#form1220' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl418]) ).
thf(zip_derived_cl7617_010,plain,
! [X1: a] :
( ( '#l_lift29753' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl10,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( X2 @ ( '#sk12' @ X2 @ X4 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ X4 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ( ( cK @ X4 @ X6 )
=> ( cK @ X2 @ X6 ) )
| ~ ( X2 @ ( '#sk12' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ~ ( cK @ X4 @ X6 )
| ( cK @ X2 @ X6 )
| ~ ( X2 @ ( '#sk12' @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl420,plain,
! [X2: a > $o] :
( ~ ( cK @ X2 @ ( '#sk12' @ ( cK @ X2 ) @ X2 ) )
| ~ ( X2 @ '#sk1' )
| '#form1220' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl418]) ).
thf(zip_derived_cl6_011,plain,
( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' )
!= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl233,plain,
( ~ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' )
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl412_012,plain,
( '#form1220'
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl612,plain,
( ~ '#form1220'
| ~ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' ) ),
inference(renaming,[status(thm)],[zip_derived_cl233,zip_derived_cl412]) ).
thf(zip_derived_cl7617_013,plain,
! [X1: a] :
( ( '#l_lift29753' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7637,plain,
( ~ '#form1220'
| ~ ( cK @ '#l_lift29753' @ '#sk1' ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl612,zip_derived_cl7617]) ).
thf(zip_derived_cl13_014,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ~ ( cK @ X4 @ X6 )
| ( cK @ X2 @ X6 )
| ( X4 @ ( '#sk12' @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl6_015,plain,
( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' )
!= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl231,plain,
! [X0: a > $o] :
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) )
| ( X0
@ ( '#sk12'
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X0 ) )
| ~ ( cK @ X0 @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl6]) ).
thf(zip_derived_cl7617_016,plain,
! [X1: a] :
( ( '#l_lift29753' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7638,plain,
! [X0: a > $o] :
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) )
| ( X0 @ ( '#sk12' @ '#l_lift29753' @ X0 ) )
| ~ ( cK @ X0 @ '#sk1' ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl231,zip_derived_cl7617]) ).
thf(zip_derived_cl6_017,plain,
( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' )
!= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7617_018,plain,
! [X1: a] :
( ( '#l_lift29753' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7618,plain,
( ( cK @ '#l_lift29753' @ '#sk1' )
!= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl6,zip_derived_cl7617]) ).
thf(zip_derived_cl7642,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl13,zip_derived_cl7619,zip_derived_cl7620,zip_derived_cl7621,zip_derived_cl7623,zip_derived_cl7624,zip_derived_cl7622,zip_derived_cl419,zip_derived_cl7617,zip_derived_cl14,zip_derived_cl420,zip_derived_cl7637,zip_derived_cl7638,zip_derived_cl7618]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV243^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1Qr8gAllTa true
% 0.13/0.35 % Computer : n006.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 : Thu Aug 24 02:47:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 50.94/7.20 % Solved by lams/20_acsne_simpl.sh.
% 50.94/7.20 % done 470 iterations in 6.336s
% 50.94/7.20 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 50.94/7.20 % SZS output start Refutation
% See solution above
% 50.94/7.20
% 50.94/7.20
% 50.94/7.20 % Terminating...
% 51.68/7.28 % Runner terminated.
% 51.68/7.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------