TSTP Solution File: SYO331^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO331^5 : 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.2FU7K1SP6k true
% Computer : n002.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 05:50:43 EDT 2023
% Result : Theorem 1.43s 0.97s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 55 ( 3 unt; 6 typ; 0 def)
% Number of atoms : 363 ( 0 equ; 0 cnn)
% Maximal formula atoms : 19 ( 7 avg)
% Number of connectives : 978 ( 43 ~; 43 |; 58 &; 597 @)
% ( 0 <=>; 110 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 12 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 76 ( 76 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% ( 80 !!; 47 ??; 0 @@+; 0 @@-)
% Number of variables : 211 ( 164 ^; 39 !; 8 ?; 211 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk7_type',type,
'#sk7': a > $o ).
thf('#sk6_type',type,
'#sk6': ( a > $o ) > a ).
thf('#sk27_type',type,
'#sk27': ( a > $o ) > a ).
thf(cK_type,type,
cK: ( a > $o ) > a > $o ).
thf('#sk1_type',type,
'#sk1': a ).
thf(cTHM116_2SS_pme,conjecture,
( ! [X: a > $o] :
( ! [Xx: a] :
( ( X @ Xx )
=> ? [S: a > $o] :
( ! [Xx0: a] :
( ( S @ Xx0 )
=> ( cK @ S @ Xx0 ) )
& ( S @ Xx ) ) )
=> ! [Xx: a] :
( ( cK @ X @ Xx )
=> ( cK
@ ^ [Xx0: a] :
? [S: a > $o] :
( ! [Xx1: a] :
( ( S @ Xx1 )
=> ( cK @ S @ Xx1 ) )
& ( S @ Xx0 ) )
@ Xx ) ) )
=> ! [Xx: a] :
( ? [S: a > $o] :
( ! [Xx0: a] :
( ( S @ Xx0 )
=> ( cK @ S @ Xx0 ) )
& ( S @ Xx ) )
=> ( 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] :
( ! [Xx: a] :
( ( X @ Xx )
=> ? [S: a > $o] :
( ! [Xx0: a] :
( ( S @ Xx0 )
=> ( cK @ S @ Xx0 ) )
& ( S @ Xx ) ) )
=> ! [Xx: a] :
( ( cK @ X @ Xx )
=> ( cK
@ ^ [Xx0: a] :
? [S: a > $o] :
( ! [Xx1: a] :
( ( S @ Xx1 )
=> ( cK @ S @ Xx1 ) )
& ( S @ Xx0 ) )
@ Xx ) ) )
=> ! [Xx: a] :
( ? [S: a > $o] :
( ! [Xx0: a] :
( ( S @ Xx0 )
=> ( cK @ S @ Xx0 ) )
& ( S @ Xx ) )
=> ( cK
@ ^ [Xx0: a] :
? [S: a > $o] :
( ! [Xx1: a] :
( ( S @ Xx1 )
=> ( cK @ S @ Xx1 ) )
& ( S @ Xx0 ) )
@ Xx ) ) ),
inference('cnf.neg',[status(esa)],[cTHM116_2SS_pme]) ).
thf(zip_derived_cl0,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 ) ) ) ) )
=> ( !!
@ ^ [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 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,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 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ '#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_cl2]) ).
thf(zip_derived_cl6,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_cl10,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk7' @ Y0 )
=> ( cK @ '#sk7' @ Y0 ) ) )
& ( '#sk7' @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk7' @ Y0 )
=> ( cK @ '#sk7' @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl18,plain,
! [X2: a] :
( ( '#sk7' @ X2 )
=> ( cK @ '#sk7' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl21,plain,
! [X2: a] :
( ~ ( '#sk7' @ X2 )
| ( cK @ '#sk7' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl21_001,plain,
! [X2: a] :
( ~ ( '#sk7' @ X2 )
| ( cK @ '#sk7' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl1,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(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,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_cl1]) ).
thf(zip_derived_cl9,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk7' @ Y0 )
=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cK @ '#sk7' @ 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_cl3]) ).
thf(zip_derived_cl39,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk7' @ Y0 )
=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ '#sk7' @ 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_cl9]) ).
thf(zip_derived_cl40,plain,
( ~ ( ( '#sk7' @ ( '#sk6' @ '#sk7' ) )
=> ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk6' @ '#sk7' ) ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ '#sk7' @ 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_cl39]) ).
thf(zip_derived_cl42,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk6' @ '#sk7' ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ '#sk7' @ 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_cl40]) ).
thf(zip_derived_cl44,plain,
! [X2: a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) )
& ( X2 @ ( '#sk6' @ '#sk7' ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ '#sk7' @ 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_cl42]) ).
thf(zip_derived_cl46,plain,
( ~ ( ( !!
@ ^ [Y0: a] :
( ( '#sk7' @ Y0 )
=> ( cK @ '#sk7' @ Y0 ) ) )
& ( '#sk7' @ ( '#sk6' @ '#sk7' ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ '#sk7' @ 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_cl44]) ).
thf(zip_derived_cl56,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk7' @ Y0 )
=> ( cK @ '#sk7' @ Y0 ) ) )
| ~ ( '#sk7' @ ( '#sk6' @ '#sk7' ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ '#sk7' @ 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_cl46]) ).
thf(zip_derived_cl57,plain,
( ~ ( ( '#sk7' @ ( '#sk27' @ '#sk7' ) )
=> ( cK @ '#sk7' @ ( '#sk27' @ '#sk7' ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ '#sk7' @ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
| ~ ( '#sk7' @ ( '#sk6' @ '#sk7' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl59,plain,
( ~ ( cK @ '#sk7' @ ( '#sk27' @ '#sk7' ) )
| ~ ( '#sk7' @ ( '#sk6' @ '#sk7' ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ '#sk7' @ 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_cl57]) ).
thf(zip_derived_cl61,plain,
! [X2: a] :
( ( ( cK @ '#sk7' @ X2 )
=> ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 ) )
| ~ ( '#sk7' @ ( '#sk6' @ '#sk7' ) )
| ~ ( cK @ '#sk7' @ ( '#sk27' @ '#sk7' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl63,plain,
! [X2: a] :
( ~ ( cK @ '#sk7' @ X2 )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
| ~ ( cK @ '#sk7' @ ( '#sk27' @ '#sk7' ) )
| ~ ( '#sk7' @ ( '#sk6' @ '#sk7' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl3_002,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_cl1]) ).
thf(zip_derived_cl5,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_cl3]) ).
thf(zip_derived_cl8,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ ( '#sk6' @ X2 ) )
=> ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk6' @ 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_cl5]) ).
thf(zip_derived_cl11,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk6' @ 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_cl8]) ).
thf(zip_derived_cl15,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 @ ( '#sk6' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl19,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 @ ( '#sk6' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl65,plain,
! [X2: a] :
( ~ ( cK @ '#sk7' @ ( '#sk27' @ '#sk7' ) )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
| ~ ( cK @ '#sk7' @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl19]) ).
thf(zip_derived_cl7,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_cl189,plain,
( ~ ( cK @ '#sk7' @ '#sk1' )
| ~ ( cK @ '#sk7' @ ( '#sk27' @ '#sk7' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl7]) ).
thf(zip_derived_cl190,plain,
( ~ ( '#sk7' @ '#sk1' )
| ~ ( cK @ '#sk7' @ ( '#sk27' @ '#sk7' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl189]) ).
thf(zip_derived_cl14,plain,
'#sk7' @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl192,plain,
~ ( cK @ '#sk7' @ ( '#sk27' @ '#sk7' ) ),
inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl14]) ).
thf(zip_derived_cl194,plain,
~ ( '#sk7' @ ( '#sk27' @ '#sk7' ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl192]) ).
thf(zip_derived_cl14_003,plain,
'#sk7' @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl21_004,plain,
! [X2: a] :
( ~ ( '#sk7' @ X2 )
| ( cK @ '#sk7' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl58,plain,
( ( '#sk7' @ ( '#sk27' @ '#sk7' ) )
| ~ ( '#sk7' @ ( '#sk6' @ '#sk7' ) )
| ( !!
@ ^ [Y0: a] :
( ( cK @ '#sk7' @ 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_cl57]) ).
thf(zip_derived_cl60,plain,
! [X2: a] :
( ( ( cK @ '#sk7' @ X2 )
=> ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 ) )
| ~ ( '#sk7' @ ( '#sk6' @ '#sk7' ) )
| ( '#sk7' @ ( '#sk27' @ '#sk7' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl62,plain,
! [X2: a] :
( ~ ( cK @ '#sk7' @ X2 )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
| ( '#sk7' @ ( '#sk27' @ '#sk7' ) )
| ~ ( '#sk7' @ ( '#sk6' @ '#sk7' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl19_005,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 @ ( '#sk6' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl64,plain,
! [X2: a] :
( ( '#sk7' @ ( '#sk27' @ '#sk7' ) )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
| ~ ( cK @ '#sk7' @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl19]) ).
thf(zip_derived_cl149,plain,
! [X0: a] :
( ~ ( '#sk7' @ X0 )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X0 )
| ( '#sk7' @ ( '#sk27' @ '#sk7' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl64]) ).
thf(zip_derived_cl151,plain,
( ( '#sk7' @ ( '#sk27' @ '#sk7' ) )
| ( cK
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl149]) ).
thf(zip_derived_cl7_006,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_cl187,plain,
'#sk7' @ ( '#sk27' @ '#sk7' ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl7]) ).
thf(zip_derived_cl196,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO331^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2FU7K1SP6k true
% 0.13/0.35 % Computer : n002.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 : Sat Aug 26 05:46:17 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.63 % Total configuration time : 828
% 0.21/0.63 % Estimated wc time : 1656
% 0.21/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73 % /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_b.comb.sh running for 70s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 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
% 1.43/0.97 % Solved by lams/20_acsne_simpl.sh.
% 1.43/0.97 % done 25 iterations in 0.129s
% 1.43/0.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.43/0.97 % SZS output start Refutation
% See solution above
% 1.43/0.97
% 1.43/0.97
% 1.43/0.97 % Terminating...
% 1.57/1.05 % Runner terminated.
% 1.57/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------