TSTP Solution File: SET601^3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET601^3 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VNq8xWSH5a true
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:14:53 EDT 2023
% Result : Theorem 0.58s 0.77s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 12
% Syntax : Number of formulae : 79 ( 37 unt; 6 typ; 0 def)
% Number of atoms : 417 ( 45 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 737 ( 38 ~; 160 |; 140 &; 393 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 4 con; 0-3 aty)
% ( 6 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 47 ( 38 ^; 9 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(union_type,type,
union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf('#sk2_type',type,
'#sk2': $i > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf('#sk3_type',type,
'#sk3': $i > $o ).
thf(intersection,axiom,
( intersection
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ) ).
thf('0',plain,
( intersection
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[intersection]) ).
thf('1',plain,
( intersection
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(union,axiom,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('2',plain,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[union]) ).
thf('3',plain,
( union
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [X: $i > $o,Y: $i > $o,Z: $i > $o] :
( ( union @ ( intersection @ X @ Y ) @ ( union @ ( intersection @ Y @ Z ) @ ( intersection @ Z @ X ) ) )
= ( intersection @ ( union @ X @ Y ) @ ( intersection @ ( union @ Y @ Z ) @ ( union @ Z @ X ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o,X6: $i > $o,X8: $i > $o] :
( ( ^ [V_1: $i] :
( ( ( X4 @ V_1 )
& ( X8 @ V_1 ) )
| ( ( X8 @ V_1 )
& ( X6 @ V_1 ) )
| ( ( X6 @ V_1 )
& ( X4 @ V_1 ) ) ) )
= ( ^ [V_2: $i] :
( ( ( X4 @ V_2 )
| ( X8 @ V_2 ) )
& ( ( X8 @ V_2 )
| ( X6 @ V_2 ) )
& ( ( X6 @ V_2 )
| ( X4 @ V_2 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o,X6: $i > $o,X8: $i > $o] :
( ( ^ [V_1: $i] :
( ( ( X4 @ V_1 )
& ( X8 @ V_1 ) )
| ( ( X8 @ V_1 )
& ( X6 @ V_1 ) )
| ( ( X6 @ V_1 )
& ( X4 @ V_1 ) ) ) )
= ( ^ [V_2: $i] :
( ( ( X4 @ V_2 )
| ( X8 @ V_2 ) )
& ( ( X8 @ V_2 )
| ( X6 @ V_2 ) )
& ( ( X6 @ V_2 )
| ( X4 @ V_2 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ^ [Y3: $i] :
( ( ( Y0 @ Y3 )
& ( Y2 @ Y3 ) )
| ( ( Y2 @ Y3 )
& ( Y1 @ Y3 ) )
| ( ( Y1 @ Y3 )
& ( Y0 @ Y3 ) ) ) )
= ( ^ [Y3: $i] :
( ( ( Y0 @ Y3 )
| ( Y2 @ Y3 ) )
& ( ( Y2 @ Y3 )
| ( Y1 @ Y3 ) )
& ( ( Y1 @ Y3 )
| ( Y0 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ^ [Y2: $i] :
( ( ( '#sk1' @ Y2 )
& ( Y1 @ Y2 ) )
| ( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
| ( ( Y0 @ Y2 )
& ( '#sk1' @ Y2 ) ) ) )
= ( ^ [Y2: $i] :
( ( ( '#sk1' @ Y2 )
| ( Y1 @ Y2 ) )
& ( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) )
& ( ( Y0 @ Y2 )
| ( '#sk1' @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ^ [Y1: $i] :
( ( ( '#sk1' @ Y1 )
& ( Y0 @ Y1 ) )
| ( ( Y0 @ Y1 )
& ( '#sk2' @ Y1 ) )
| ( ( '#sk2' @ Y1 )
& ( '#sk1' @ Y1 ) ) ) )
= ( ^ [Y1: $i] :
( ( ( '#sk1' @ Y1 )
| ( Y0 @ Y1 ) )
& ( ( Y0 @ Y1 )
| ( '#sk2' @ Y1 ) )
& ( ( '#sk2' @ Y1 )
| ( '#sk1' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( ^ [Y0: $i] :
( ( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) )
| ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
| ( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) ) )
!= ( ^ [Y0: $i] :
( ( ( '#sk1' @ Y0 )
| ( '#sk3' @ Y0 ) )
& ( ( '#sk3' @ Y0 )
| ( '#sk2' @ Y0 ) )
& ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( ^ [Y0: $i] :
( ( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) )
| ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
| ( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) ) )
!= ( ^ [Y0: $i] :
( ( ( '#sk1' @ Y0 )
| ( '#sk3' @ Y0 ) )
& ( ( '#sk3' @ Y0 )
| ( '#sk2' @ Y0 ) )
& ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ( ( ( '#sk1' @ '#sk4' )
& ( '#sk3' @ '#sk4' ) )
| ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
!= ( ( ( '#sk1' @ '#sk4' )
| ( '#sk3' @ '#sk4' ) )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl5_001,plain,
( ( ( ( '#sk1' @ '#sk4' )
& ( '#sk3' @ '#sk4' ) )
| ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
!= ( ( ( '#sk1' @ '#sk4' )
| ( '#sk3' @ '#sk4' ) )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ( '#sk1' @ '#sk4' )
| ( ( ( $false
& ( '#sk3' @ '#sk4' ) )
| ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( ( '#sk2' @ '#sk4' )
& $false ) )
!= ( ( $false
| ( '#sk3' @ '#sk4' ) )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
( ( '#sk1' @ '#sk4' )
| ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
!= ( ( '#sk3' @ '#sk4' )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
( ( '#sk3' @ '#sk4' )
| ( '#sk1' @ '#sk4' )
| ( ( $false
& ( '#sk2' @ '#sk4' ) )
!= ( $false
& ( $false
| ( '#sk2' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
( ( '#sk3' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl13_002,plain,
( ( '#sk3' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl13_003,plain,
( ( '#sk3' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl9_004,plain,
( ( '#sk1' @ '#sk4' )
| ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
!= ( ( '#sk3' @ '#sk4' )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
( ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
!= ( $true
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) )
| ( '#sk1' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl9]) ).
thf(zip_derived_cl21,plain,
( ( '#sk1' @ '#sk4' )
| ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
!= ( $true
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl22,plain,
( ( '#sk1' @ '#sk4' )
| ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
!= ( ( '#sk2' @ '#sk4' )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl42,plain,
( ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
!= ( ( '#sk2' @ '#sk4' )
& ( $true
| ( '#sk2' @ '#sk4' ) ) ) )
| ( '#sk1' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl22]) ).
thf(zip_derived_cl48,plain,
( ( '#sk1' @ '#sk4' )
| ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
!= ( ( '#sk2' @ '#sk4' )
& ( $true
| ( '#sk2' @ '#sk4' ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl49,plain,
( ( '#sk1' @ '#sk4' )
| ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
!= ( '#sk2' @ '#sk4' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl53,plain,
( ( ( $true
& ( '#sk2' @ '#sk4' ) )
!= ( '#sk2' @ '#sk4' ) )
| ( '#sk1' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl49]) ).
thf(zip_derived_cl63,plain,
( ( '#sk1' @ '#sk4' )
| ( ( $true
& ( '#sk2' @ '#sk4' ) )
!= ( '#sk2' @ '#sk4' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl64,plain,
( ( '#sk1' @ '#sk4' )
| ( ( '#sk2' @ '#sk4' )
!= ( '#sk2' @ '#sk4' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl65,plain,
'#sk1' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl65_005,plain,
'#sk1' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl65_006,plain,
'#sk1' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl65_007,plain,
'#sk1' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl69,plain,
( ( ( $true
& ( '#sk3' @ '#sk4' ) )
| ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( ( '#sk2' @ '#sk4' )
& $true ) )
!= ( ( $true
| ( '#sk3' @ '#sk4' ) )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| $true ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl65,zip_derived_cl65,zip_derived_cl65,zip_derived_cl65]) ).
thf(zip_derived_cl70,plain,
( ( ( '#sk3' @ '#sk4' )
| ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( '#sk2' @ '#sk4' ) )
!= ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl13_008,plain,
( ( '#sk3' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl5_009,plain,
( ( ( ( '#sk1' @ '#sk4' )
& ( '#sk3' @ '#sk4' ) )
| ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
!= ( ( ( '#sk1' @ '#sk4' )
| ( '#sk3' @ '#sk4' ) )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl14,plain,
( ( ( ( $true
& ( '#sk3' @ '#sk4' ) )
| ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
!= ( ( ( '#sk1' @ '#sk4' )
| ( '#sk3' @ '#sk4' ) )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) )
| ( '#sk3' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
thf(zip_derived_cl18,plain,
( ( ( ( '#sk3' @ '#sk4' )
| ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
!= ( ( ( '#sk1' @ '#sk4' )
| ( '#sk3' @ '#sk4' ) )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) )
| ( '#sk3' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl19,plain,
( ( ( $false
| ( $false
& ( '#sk2' @ '#sk4' ) )
| ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
!= ( ( ( '#sk1' @ '#sk4' )
| $false )
& ( $false
| ( '#sk2' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) )
| ( '#sk3' @ '#sk4' ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
( ( ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) )
!= ( ( '#sk1' @ '#sk4' )
& ( '#sk2' @ '#sk4' )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) )
| ( '#sk3' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl65_010,plain,
'#sk1' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl65_011,plain,
'#sk1' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl65_012,plain,
'#sk1' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl74,plain,
( ( ( ( '#sk2' @ '#sk4' )
& $true )
!= ( $true
& ( '#sk2' @ '#sk4' )
& ( ( '#sk2' @ '#sk4' )
| $true ) ) )
| ( '#sk3' @ '#sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl65,zip_derived_cl65,zip_derived_cl65]) ).
thf(zip_derived_cl75,plain,
( ( ( '#sk2' @ '#sk4' )
!= ( '#sk2' @ '#sk4' ) )
| ( '#sk3' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl76,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl76_013,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl9_014,plain,
( ( '#sk1' @ '#sk4' )
| ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
!= ( ( '#sk3' @ '#sk4' )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( ( '#sk3' @ '#sk4' )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) )
| ( '#sk1' @ '#sk4' ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl29,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' )
| ( ( '#sk3' @ '#sk4' )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( '#sk2' @ '#sk4' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl32,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' )
| ( ( '#sk3' @ '#sk4' )
& ( ( '#sk3' @ '#sk4' )
| $false )
& $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl33,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl5_015,plain,
( ( ( ( '#sk1' @ '#sk4' )
& ( '#sk3' @ '#sk4' ) )
| ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
!= ( ( ( '#sk1' @ '#sk4' )
| ( '#sk3' @ '#sk4' ) )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl34,plain,
( ( ( ( $true
& ( '#sk3' @ '#sk4' ) )
| ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
!= ( ( ( '#sk1' @ '#sk4' )
| ( '#sk3' @ '#sk4' ) )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) )
| ( '#sk2' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl5]) ).
thf(zip_derived_cl36,plain,
( ( ( ( '#sk3' @ '#sk4' )
| ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
!= ( ( ( '#sk1' @ '#sk4' )
| ( '#sk3' @ '#sk4' ) )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) )
| ( '#sk2' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl37,plain,
( ( ( ( '#sk3' @ '#sk4' )
| ( ( '#sk3' @ '#sk4' )
& $false )
| ( $false
& ( '#sk1' @ '#sk4' ) ) )
!= ( ( ( '#sk1' @ '#sk4' )
| ( '#sk3' @ '#sk4' ) )
& ( ( '#sk3' @ '#sk4' )
| $false )
& ( $false
| ( '#sk1' @ '#sk4' ) ) ) )
| ( '#sk2' @ '#sk4' ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl38,plain,
( ( ( '#sk3' @ '#sk4' )
!= ( ( ( '#sk1' @ '#sk4' )
| ( '#sk3' @ '#sk4' ) )
& ( '#sk3' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) )
| ( '#sk2' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl76_016,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl65_017,plain,
'#sk1' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl76_018,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl76_019,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl65_020,plain,
'#sk1' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl82,plain,
( ~ ( ( $true
| $true )
& $true
& $true )
| ( '#sk2' @ '#sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl76,zip_derived_cl65,zip_derived_cl76,zip_derived_cl76,zip_derived_cl65]) ).
thf(zip_derived_cl83,plain,
'#sk2' @ '#sk4',
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl83_021,plain,
'#sk2' @ '#sk4',
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl76_022,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl83_023,plain,
'#sk2' @ '#sk4',
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl88,plain,
( ( $true
| ( $true
& $true )
| $true )
!= ( $true
| $true ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl76,zip_derived_cl76,zip_derived_cl83,zip_derived_cl83,zip_derived_cl76,zip_derived_cl83]) ).
thf(zip_derived_cl89,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SET601^3 : TPTP v8.1.2. Released v3.6.0.
% 0.10/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VNq8xWSH5a true
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 10:41:05 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.57/0.66 % Total configuration time : 828
% 0.57/0.66 % Estimated wc time : 1656
% 0.57/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.77 % Solved by lams/35_full_unif4.sh.
% 0.58/0.77 % done 18 iterations in 0.020s
% 0.58/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.77 % SZS output start Refutation
% See solution above
% 0.58/0.77
% 0.58/0.77
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.77 % Terminating...
% 1.88/0.86 % Runner terminated.
% 1.88/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------