TSTP Solution File: SEV246^6 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV246^6 : TPTP v8.1.2. Released v5.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qpGi6Esysw true
% Computer : n005.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 20:00:11 EDT 2023
% Result : Theorem 50.42s 7.22s
% Output : Refutation 50.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 74 ( 10 unt; 8 typ; 0 def)
% Number of atoms : 407 ( 8 equ; 0 cnn)
% Maximal formula atoms : 14 ( 6 avg)
% Number of connectives : 1318 ( 55 ~; 66 |; 66 &; 824 @)
% ( 0 <=>; 138 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 13 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 147 ( 147 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 4 con; 0-2 aty)
% ( 110 !!; 59 ??; 0 @@+; 0 @@-)
% Number of variables : 316 ( 209 ^; 103 !; 4 ?; 316 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk1_type',type,
'#sk1': a ).
thf('#sk497_type',type,
'#sk497': ( a > $o ) > a ).
thf('#sk12_type',type,
'#sk12': ( a > $o ) > ( a > $o ) > a ).
thf('#sk564_type',type,
'#sk564': ( a > $o ) > a ).
thf(cK_type,type,
cK: ( a > $o ) > a > $o ).
thf('#l_lift6836_type',type,
'#l_lift6836': a > $o ).
thf('#sk570_type',type,
'#sk570': ( a > $o ) > a > $o ).
thf(cTHM116_1S,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 )
=> ? [S: a > $o] :
( ! [Xx0: a] :
( ( S @ Xx0 )
=> ( cK @ S @ Xx0 ) )
& ( S @ 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 )
=> ? [S: a > $o] :
( ! [Xx0: a] :
( ( S @ Xx0 )
=> ( cK @ S @ Xx0 ) )
& ( S @ Xx ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM116_1S]) ).
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 )
=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6_001,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_cl3469,plain,
! [X1: a] :
( ( '#l_lift6836' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3470,plain,
cK @ '#l_lift6836' @ '#sk1',
inference(lambda_lifting,[status(thm)],[zip_derived_cl6,zip_derived_cl3469]) ).
thf(zip_derived_cl7,plain,
~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk1' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: a > $o] :
~ ( ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) )
& ( X2 @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
! [X2: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) )
| ~ ( X2 @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl14,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
=> ( cK @ X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) ) )
| ~ ( X2 @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl18,plain,
! [X2: a > $o] :
( ~ ( cK @ X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
| ~ ( X2 @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
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_cl23,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_cl205,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_cl23]) ).
thf(zip_derived_cl208,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_imply,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl209,plain,
! [X2: a > $o] :
( ~ ( ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk564' @ X2 ) ) ) )
=> ( X2 @ ( '#sk564' @ X2 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl210,plain,
! [X2: a > $o] :
( ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk564' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl209]) ).
thf(zip_derived_cl212,plain,
! [X2: a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( ( '#sk570' @ X2 @ Y0 )
=> ( cK @ ( '#sk570' @ X2 ) @ Y0 ) ) )
& ( '#sk570' @ X2 @ ( '#sk564' @ X2 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl215,plain,
! [X2: a > $o] :
( ( '#sk570' @ X2 @ ( '#sk564' @ X2 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl218,plain,
! [X2: a > $o,X4: a] :
( ( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 )
=> ( cK @ X2 @ X4 ) )
| ( '#sk570' @ X2 @ ( '#sk564' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl215]) ).
thf(zip_derived_cl220,plain,
! [X2: a > $o,X4: a] :
( ~ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 )
| ( cK @ X2 @ X4 )
| ( '#sk570' @ X2 @ ( '#sk564' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl218]) ).
thf(zip_derived_cl3469_002,plain,
! [X1: a] :
( ( '#l_lift6836' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3475,plain,
! [X2: a > $o,X4: a] :
( ~ ( cK @ '#l_lift6836' @ X4 )
| ( cK @ X2 @ X4 )
| ( '#sk570' @ X2 @ ( '#sk564' @ X2 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl220,zip_derived_cl3469]) ).
thf(zip_derived_cl214,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk570' @ X2 @ Y0 )
=> ( cK @ ( '#sk570' @ 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_and,[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl217,plain,
! [X2: a > $o,X4: a] :
( ( ( '#sk570' @ X2 @ X4 )
=> ( cK @ ( '#sk570' @ X2 ) @ X4 ) )
| ( !!
@ ^ [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_cl214]) ).
thf(zip_derived_cl219,plain,
! [X2: a > $o,X4: a] :
( ~ ( '#sk570' @ X2 @ X4 )
| ( cK @ ( '#sk570' @ X2 ) @ X4 )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl221,plain,
! [X2: a > $o,X4: a,X6: a] :
( ( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X6 )
=> ( cK @ X2 @ X6 ) )
| ( cK @ ( '#sk570' @ X2 ) @ X4 )
| ~ ( '#sk570' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl219]) ).
thf(zip_derived_cl222,plain,
! [X2: a > $o,X4: a,X6: a] :
( ~ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X6 )
| ( cK @ X2 @ X6 )
| ~ ( '#sk570' @ X2 @ X4 )
| ( cK @ ( '#sk570' @ X2 ) @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl221]) ).
thf(zip_derived_cl3469_003,plain,
! [X1: a] :
( ( '#l_lift6836' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3476,plain,
! [X2: a > $o,X4: a,X6: a] :
( ~ ( cK @ '#l_lift6836' @ X6 )
| ( cK @ X2 @ X6 )
| ~ ( '#sk570' @ X2 @ X4 )
| ( cK @ ( '#sk570' @ X2 ) @ X4 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl222,zip_derived_cl3469]) ).
thf(zip_derived_cl17,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
| ~ ( X2 @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl211,plain,
! [X2: a > $o] :
( ~ ( X2 @ ( '#sk564' @ X2 ) )
| ( !!
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl209]) ).
thf(zip_derived_cl213,plain,
! [X2: a > $o,X4: a] :
( ( ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 )
=> ( cK @ X2 @ X4 ) )
| ~ ( X2 @ ( '#sk564' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl216,plain,
! [X2: a > $o,X4: a] :
( ~ ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 )
| ( cK @ X2 @ X4 )
| ~ ( X2 @ ( '#sk564' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl213]) ).
thf(zip_derived_cl3469_004,plain,
! [X1: a] :
( ( '#l_lift6836' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3474,plain,
! [X2: a > $o,X4: a] :
( ~ ( cK @ '#l_lift6836' @ X4 )
| ( cK @ X2 @ X4 )
| ~ ( X2 @ ( '#sk564' @ X2 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl216,zip_derived_cl3469]) ).
thf(zip_derived_cl3469_005,plain,
! [X1: a] :
( ( '#l_lift6836' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3_006,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_cl22,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_cl188,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_cl22]) ).
thf(zip_derived_cl189,plain,
! [X0: a > $o] :
( ~ ( ( X0 @ ( '#sk497' @ X0 ) )
=> ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk497' @ 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_cl188]) ).
thf(zip_derived_cl191,plain,
! [X0: a > $o] :
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk497' @ 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_cl189]) ).
thf(zip_derived_cl193,plain,
! [X0: a > $o,X2: a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) )
& ( X2 @ ( '#sk497' @ 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_cl191]) ).
thf(zip_derived_cl197,plain,
! [X0: a > $o,X2: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) )
| ~ ( X2 @ ( '#sk497' @ 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_cl193]) ).
thf(zip_derived_cl198,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 @ ( '#sk497' @ X0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl197]) ).
thf(zip_derived_cl199,plain,
! [X0: a > $o,X2: a > $o] :
( ( X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
| ~ ( X2 @ ( '#sk497' @ 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_cl198]) ).
thf(zip_derived_cl201,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 @ ( '#sk497' @ X0 ) )
| ( X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl199]) ).
thf(zip_derived_cl203,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 @ ( '#sk497' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl201]) ).
thf(zip_derived_cl3469_007,plain,
! [X1: a] :
( ( '#l_lift6836' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3472,plain,
! [X0: a > $o,X2: a > $o,X4: a] :
( ~ ( cK @ X0 @ X4 )
| ( cK @ '#l_lift6836' @ X4 )
| ( X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
| ~ ( X2 @ ( '#sk497' @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl203,zip_derived_cl3469]) ).
thf(zip_derived_cl200,plain,
! [X0: a > $o,X2: a > $o] :
( ~ ( cK @ X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
| ~ ( X2 @ ( '#sk497' @ 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_cl198]) ).
thf(zip_derived_cl202,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 @ ( '#sk497' @ X0 ) )
| ~ ( cK @ X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl204,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 @ ( '#sk497' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl202]) ).
thf(zip_derived_cl3469_008,plain,
! [X1: a] :
( ( '#l_lift6836' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3473,plain,
! [X0: a > $o,X2: a > $o,X4: a] :
( ~ ( cK @ X0 @ X4 )
| ( cK @ '#l_lift6836' @ X4 )
| ~ ( cK @ X2 @ ( '#sk12' @ X2 @ ( cK @ X2 ) ) )
| ~ ( X2 @ ( '#sk497' @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl204,zip_derived_cl3469]) ).
thf(zip_derived_cl190,plain,
! [X0: a > $o] :
( ( X0 @ ( '#sk497' @ 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_cl189]) ).
thf(zip_derived_cl192,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 @ ( '#sk497' @ X0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl196,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 @ ( '#sk497' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl192]) ).
thf(zip_derived_cl3469_009,plain,
! [X1: a] :
( ( '#l_lift6836' @ X1 )
= ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3471,plain,
! [X0: a > $o,X2: a] :
( ~ ( cK @ X0 @ X2 )
| ( cK @ '#l_lift6836' @ X2 )
| ( X0 @ ( '#sk497' @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl196,zip_derived_cl3469]) ).
thf(zip_derived_cl3503,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl3470,zip_derived_cl18,zip_derived_cl3475,zip_derived_cl3476,zip_derived_cl17,zip_derived_cl3474,zip_derived_cl3469,zip_derived_cl3472,zip_derived_cl3473,zip_derived_cl3471]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV246^6 : TPTP v8.1.2. Released v5.1.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qpGi6Esysw true
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Aug 24 03:06:54 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in HO mode
% 0.17/0.53 % Total configuration time : 828
% 0.17/0.53 % Estimated wc time : 1656
% 0.17/0.53 % Estimated cpu time (8 cpus) : 207.0
% 0.17/0.57 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.17/0.57 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.17/0.57 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.17/0.58 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.17/0.61 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.17/0.64 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 50.42/7.22 % Solved by lams/20_acsne_simpl.sh.
% 50.42/7.22 % done 270 iterations in 6.503s
% 50.42/7.22 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 50.42/7.22 % SZS output start Refutation
% See solution above
% 50.42/7.23
% 50.42/7.23
% 50.42/7.23 % Terminating...
% 51.67/7.44 % Runner terminated.
% 51.67/7.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------