TSTP Solution File: SET611^3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET611^3 : 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.E0cHlFG6PH true
% Computer : n022.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 16:14:59 EDT 2023
% Result : Theorem 0.21s 0.79s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 83 ( 21 unt; 7 typ; 0 def)
% Number of atoms : 381 ( 79 equ; 25 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 494 ( 78 ~; 64 |; 79 &; 264 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 7 usr; 6 con; 0-3 aty)
% ( 3 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 143 ( 122 ^; 21 !; 0 ?; 143 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i > $o ).
thf(emptyset_type,type,
emptyset: $i > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(setminus_type,type,
setminus: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(setminus,axiom,
( setminus
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ~ ( Y @ U ) ) ) ) ).
thf('0',plain,
( setminus
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ~ ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[setminus]) ).
thf('1',plain,
( setminus
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
& ~ ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(intersection,axiom,
( intersection
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ) ).
thf('2',plain,
( intersection
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[intersection]) ).
thf('3',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(emptyset,axiom,
( emptyset
= ( ^ [X: $i] : $false ) ) ).
thf('4',plain,
( emptyset
= ( ^ [X: $i] : $false ) ),
inference(simplify_rw_rule,[status(thm)],[emptyset]) ).
thf('5',plain,
( emptyset
= ( ^ [V_1: $i] : $false ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [A: $i > $o,B: $i > $o] :
( ( ( intersection @ A @ B )
= emptyset )
<=> ( ( setminus @ A @ B )
= A ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o,X6: $i > $o] :
( ( ( ^ [V_1: $i] :
( ( X6 @ V_1 )
& ( X4 @ V_1 ) ) )
= ( ^ [V_2: $i] : $false ) )
<=> ( ( ^ [V_3: $i] :
( ~ ( X6 @ V_3 )
& ( X4 @ V_3 ) ) )
= X4 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o,X6: $i > $o] :
( ( ( ^ [V_1: $i] :
( ( X6 @ V_1 )
& ( X4 @ V_1 ) ) )
= ( ^ [V_2: $i] : $false ) )
<=> ( ( ^ [V_3: $i] :
( ~ ( X6 @ V_3 )
& ( X4 @ V_3 ) ) )
= X4 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ( ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) )
= ( ^ [Y2: $i] : $false ) )
<=> ( ( ^ [Y2: $i] :
( ( (~) @ ( Y1 @ Y2 ) )
& ( Y0 @ Y2 ) ) )
= Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( '#sk1' @ Y1 ) ) )
= ( ^ [Y1: $i] : $false ) )
<=> ( ( ^ [Y1: $i] :
( ( (~) @ ( Y0 @ Y1 ) )
& ( '#sk1' @ Y1 ) ) )
= '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) )
<=> ( ( ^ [Y0: $i] :
( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
= '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) )
!= ( ( ^ [Y0: $i] :
( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
= '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] : $false ) )
| ( ( ^ [Y0: $i] :
( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
!= '#sk1' ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] : $false ) )
| ( ( ^ [Y0: $i] :
( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
!= '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] : $false ) )
| ( ( ( (~) @ ( '#sk2' @ '#sk3' ) )
& ( '#sk1' @ '#sk3' ) )
!= ( '#sk1' @ '#sk3' ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
( ( ( (~) @ ( '#sk2' @ '#sk3' ) )
& ( '#sk1' @ '#sk3' ) )
| ( '#sk1' @ '#sk3' )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] : $false ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
( ( ( (~) @ ( '#sk2' @ '#sk3' ) )
& $false )
| ( '#sk1' @ '#sk3' )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] : $false ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
( ( '#sk1' @ '#sk3' )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] : $false ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl58,plain,
( ( '#sk1' @ '#sk3' )
| ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl59,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl10_001,plain,
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] : $false ) )
| ( ( ( (~) @ ( '#sk2' @ '#sk3' ) )
& ( '#sk1' @ '#sk3' ) )
!= ( '#sk1' @ '#sk3' ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
( ( '#sk2' @ '#sk3' )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] : $false ) )
| ( ( ( (~) @ $false )
& ( '#sk1' @ '#sk3' ) )
!= ( '#sk1' @ '#sk3' ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
( ( '#sk2' @ '#sk3' )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] : $false ) )
| ( ( '#sk1' @ '#sk3' )
!= ( '#sk1' @ '#sk3' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] : $false ) )
| ( '#sk2' @ '#sk3' ) ),
inference(simplify,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl35,plain,
( ( ( '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk4' ) )
| ( '#sk2' @ '#sk3' ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl36,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl3_002,plain,
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) )
!= ( ( ^ [Y0: $i] :
( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
= '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) )
| ( ( ^ [Y0: $i] :
( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
= '#sk1' ) ),
inference(eq_hoist,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) )
| ( ( ^ [Y0: $i] :
( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
= '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl22,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( ( (~) @ ( '#sk2' @ Y0 ) )
& ( '#sk1' @ Y0 ) )
@ X1 )
= ( '#sk1' @ X1 ) )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl23,plain,
! [X1: $i] :
( ( ( ( (~) @ ( '#sk2' @ X1 ) )
& ( '#sk1' @ X1 ) )
= ( '#sk1' @ X1 ) )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl39,plain,
( ( ( ( (~) @ $true )
& ( '#sk1' @ '#sk3' ) )
= ( '#sk1' @ '#sk3' ) )
| ( '#sk2' @ '#sk4' )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl23]) ).
thf(zip_derived_cl45,plain,
( ~ ( '#sk1' @ '#sk3' )
| ( '#sk2' @ '#sk4' )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl59_003,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl76,plain,
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) )
| ( '#sk2' @ '#sk4' ) ),
inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl59]) ).
thf(zip_derived_cl80,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) )
@ X1 )
= ( ^ [Y0: $i] : $false
@ X1 ) )
| ( '#sk2' @ '#sk4' ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl81,plain,
! [X1: $i] :
( ~ ( ( '#sk2' @ X1 )
& ( '#sk1' @ X1 ) )
| ( '#sk2' @ '#sk4' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl123,plain,
! [X1: $i] :
( ~ ( '#sk2' @ X1 )
| ~ ( '#sk1' @ X1 )
| ( '#sk2' @ '#sk4' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl126,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk2' @ '#sk4' )
| ~ ( '#sk2' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl123]) ).
thf(zip_derived_cl36_004,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl23_005,plain,
! [X1: $i] :
( ( ( ( (~) @ ( '#sk2' @ X1 ) )
& ( '#sk1' @ X1 ) )
= ( '#sk1' @ X1 ) )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl40,plain,
( ( ( ( (~) @ $true )
& ( '#sk1' @ '#sk4' ) )
= ( '#sk1' @ '#sk4' ) )
| ( '#sk2' @ '#sk3' )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl23]) ).
thf(zip_derived_cl46,plain,
( ~ ( '#sk1' @ '#sk4' )
| ( '#sk2' @ '#sk3' )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl37,plain,
( ( '#sk1' @ '#sk4' )
| ( '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl109,plain,
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) )
| ( '#sk2' @ '#sk3' ) ),
inference(clc,[status(thm)],[zip_derived_cl46,zip_derived_cl37]) ).
thf(zip_derived_cl15_006,plain,
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] : $false ) )
| ( '#sk2' @ '#sk3' ) ),
inference(simplify,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl110,plain,
'#sk2' @ '#sk3',
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl15]) ).
thf(zip_derived_cl131,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl110]) ).
thf(zip_derived_cl132,plain,
'#sk2' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl23_007,plain,
! [X1: $i] :
( ( ( ( (~) @ ( '#sk2' @ X1 ) )
& ( '#sk1' @ X1 ) )
= ( '#sk1' @ X1 ) )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl137,plain,
( ( ( ( (~) @ $true )
& ( '#sk1' @ '#sk4' ) )
= ( '#sk1' @ '#sk4' ) )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl132,zip_derived_cl23]) ).
thf(zip_derived_cl140,plain,
( ~ ( '#sk1' @ '#sk4' )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl110_008,plain,
'#sk2' @ '#sk3',
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl15]) ).
thf(zip_derived_cl23_009,plain,
! [X1: $i] :
( ( ( ( (~) @ ( '#sk2' @ X1 ) )
& ( '#sk1' @ X1 ) )
= ( '#sk1' @ X1 ) )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl26,plain,
! [X1: $i] :
( ( ( (~) @ ( '#sk2' @ X1 ) )
& ( '#sk1' @ X1 ) )
| ~ ( '#sk1' @ X1 )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl30,plain,
! [X1: $i] :
( ( ( (~) @ ( '#sk2' @ X1 ) )
& $true )
| ~ ( '#sk1' @ X1 )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl31,plain,
! [X1: $i] :
( ( (~) @ ( '#sk2' @ X1 ) )
| ~ ( '#sk1' @ X1 )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl32,plain,
! [X1: $i] :
( ~ ( '#sk2' @ X1 )
| ~ ( '#sk1' @ X1 )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl115,plain,
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) )
| ~ ( '#sk1' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl32]) ).
thf(zip_derived_cl163,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) )
@ X1 )
= ( ^ [Y0: $i] : $false
@ X1 ) )
| ~ ( '#sk1' @ '#sk3' ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl164,plain,
! [X1: $i] :
( ~ ( ( '#sk2' @ X1 )
& ( '#sk1' @ X1 ) )
| ~ ( '#sk1' @ '#sk3' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl163]) ).
thf(zip_derived_cl180,plain,
! [X1: $i] :
( ~ ( '#sk2' @ X1 )
| ~ ( '#sk1' @ X1 )
| ~ ( '#sk1' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl164]) ).
thf(zip_derived_cl182,plain,
( ~ ( '#sk1' @ '#sk3' )
| ~ ( '#sk2' @ '#sk3' ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl110_010,plain,
'#sk2' @ '#sk3',
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl15]) ).
thf(zip_derived_cl185,plain,
~ ( '#sk1' @ '#sk3' ),
inference(demod,[status(thm)],[zip_derived_cl182,zip_derived_cl110]) ).
thf(zip_derived_cl60,plain,
( ( '#sk1' @ '#sk4' )
| ( '#sk1' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl188,plain,
'#sk1' @ '#sk4',
inference('sup+',[status(thm)],[zip_derived_cl185,zip_derived_cl60]) ).
thf(zip_derived_cl203,plain,
( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
= ( ^ [Y0: $i] : $false ) ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl188]) ).
thf(zip_derived_cl17_011,plain,
( ( '#sk1' @ '#sk3' )
| ( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] : $false ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl185_012,plain,
~ ( '#sk1' @ '#sk3' ),
inference(demod,[status(thm)],[zip_derived_cl182,zip_derived_cl110]) ).
thf(zip_derived_cl187,plain,
( ( ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] : $false ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl185]) ).
thf(zip_derived_cl204,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl203,zip_derived_cl187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET611^3 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.E0cHlFG6PH true
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 08:54:25 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
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.61 % Total configuration time : 828
% 0.21/0.61 % Estimated wc time : 1656
% 0.21/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.79 % Solved by lams/35_full_unif4.sh.
% 0.21/0.79 % done 60 iterations in 0.037s
% 0.21/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.79 % SZS output start Refutation
% See solution above
% 0.21/0.79
% 0.21/0.79
% 0.21/0.79 % Terminating...
% 1.58/0.87 % Runner terminated.
% 1.58/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------