%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET624^3 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.A2y1mTb4wF true
% Computer : n027.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 Oct 2 04:52:28 PM UTC 2025
% Result : Theorem 0.57s 0.81s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 78 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 316 ( 8 equ; 0 cnn)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 630 ( 80 ~; 121 |; 71 &; 290 @)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 7 con; 0-3 aty)
% ( 6 !!; 55 ??; 0 @@+; 0 @@-)
% Number of variables : 106 ( 76 ^; 21 !; 9 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk7_type',type,
'#sk7': $i ).
thf(meets_type,type,
meets: ( $i > $o ) > ( $i > $o ) > $o ).
thf(union_type,type,
union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk6_type',type,
'#sk6': $i ).
thf('#form5_type',type,
'#form5': $o ).
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf('#sk3_type',type,
'#sk3': $i > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf('#sk2_type',type,
'#sk2': $i > $o ).
thf(meets,axiom,
( meets
= ( ^ [X: $i > $o,Y: $i > $o] :
? [U: $i] :
( ( Y @ U )
& ( X @ U ) ) ) ) ).
thf('0',plain,
( meets
= ( ^ [X: $i > $o,Y: $i > $o] :
? [U: $i] :
( ( Y @ U )
& ( X @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[meets]) ).
thf('1',plain,
( meets
= ( ^ [V_1: $i > $o,V_2: $i > $o] :
? [X4: $i] :
( ( V_2 @ X4 )
& ( V_1 @ X4 ) ) ) ),
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] :
( ( meets @ X @ ( union @ Y @ Z ) )
<=> ( ( meets @ X @ Y )
| ( meets @ X @ Z ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o,X6: $i > $o,X8: $i > $o] :
( ? [X10: $i] :
( ( X4 @ X10 )
& ( ( X8 @ X10 )
| ( X6 @ X10 ) ) )
<=> ( ? [X14: $i] :
( ( X4 @ X14 )
& ( X8 @ X14 ) )
| ? [X12: $i] :
( ( X4 @ X12 )
& ( X6 @ X12 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o,X6: $i > $o,X8: $i > $o] :
( ? [X10: $i] :
( ( X4 @ X10 )
& ( ( X8 @ X10 )
| ( X6 @ X10 ) ) )
<=> ( ? [X14: $i] :
( ( X4 @ X14 )
& ( X8 @ X14 ) )
| ? [X12: $i] :
( ( X4 @ X12 )
& ( X6 @ X12 ) ) ) ),
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 )
| ( Y1 @ Y3 ) ) ) )
<=> ( ( ??
@ ^ [Y3: $i] :
( ( Y0 @ Y3 )
& ( Y2 @ Y3 ) ) )
| ( ??
@ ^ [Y3: $i] :
( ( Y0 @ Y3 )
& ( Y1 @ 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 )
| ( Y0 @ Y2 ) ) ) )
<=> ( ( ??
@ ^ [Y2: $i] :
( ( '#sk1' @ Y2 )
& ( Y1 @ Y2 ) ) )
| ( ??
@ ^ [Y2: $i] :
( ( '#sk1' @ Y2 )
& ( Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
& ( ( Y0 @ Y1 )
| ( '#sk2' @ Y1 ) ) ) )
<=> ( ( ??
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
& ( Y0 @ Y1 ) ) )
| ( ??
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
& ( '#sk2' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( ( '#sk3' @ Y0 )
| ( '#sk2' @ Y0 ) ) ) )
<=> ( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( ( '#sk3' @ Y0 )
| ( '#sk2' @ Y0 ) ) ) )
!= ( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( ( '#sk3' @ Y0 )
| ( '#sk2' @ Y0 ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
( ( ( '#sk1' @ '#sk4' )
& ( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
( ( '#sk1' @ '#sk4' )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl8_001,plain,
( ( '#sk1' @ '#sk4' )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl10,plain,
( ~ '#form5'
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl12,plain,
( '#form5'
| ( '#sk1' @ '#sk4' ) ),
inference(renaming,[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).
thf(zip_derived_cl10_002,plain,
( ~ '#form5'
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl11,plain,
( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) )
| ~ '#form5' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
( ( ( '#sk1' @ '#sk6' )
& ( '#sk3' @ '#sk6' ) )
| ~ '#form5'
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl16,plain,
( ( '#sk1' @ '#sk6' )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) )
| ~ '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl18,plain,
( ( ( '#sk1' @ '#sk7' )
& ( '#sk2' @ '#sk7' ) )
| ~ '#form5'
| ( '#sk1' @ '#sk6' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl20,plain,
( ( '#sk1' @ '#sk7' )
| ( '#sk1' @ '#sk6' )
| ~ '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl21,plain,
( ( '#sk2' @ '#sk7' )
| ( '#sk1' @ '#sk6' )
| ~ '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl4_003,plain,
( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( ( '#sk3' @ Y0 )
| ( '#sk2' @ Y0 ) ) ) )
!= ( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( ( '#sk3' @ Y0 )
| ( '#sk2' @ Y0 ) ) ) )
| ~ ( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6_004,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( ( '#sk3' @ Y0 )
| ( '#sk2' @ Y0 ) ) ) )
| ~ ( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl24,plain,
( '#form5'
| ~ ( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl10_005,plain,
( ~ '#form5'
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl27,plain,
( ~ '#form5'
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( ( '#sk3' @ Y0 )
| ( '#sk2' @ Y0 ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl6,zip_derived_cl24,zip_derived_cl10]) ).
thf(zip_derived_cl28,plain,
! [X2: $i] :
( ~ ( ( '#sk1' @ X2 )
& ( ( '#sk3' @ X2 )
| ( '#sk2' @ X2 ) ) )
| ~ '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl31,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ~ ( ( '#sk3' @ X2 )
| ( '#sk2' @ X2 ) )
| ~ '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl34,plain,
! [X2: $i] :
( ~ ( '#sk3' @ X2 )
| ~ '#form5'
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl24_006,plain,
( '#form5'
| ~ ( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl25,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| '#form5' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl29,plain,
! [X2: $i] :
( ~ ( ( '#sk1' @ X2 )
& ( '#sk3' @ X2 ) )
| '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ~ ( '#sk3' @ X2 )
| '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl46,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ~ ( '#sk3' @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl34,zip_derived_cl32]) ).
thf(zip_derived_cl48,plain,
( ~ '#form5'
| ( '#sk2' @ '#sk7' )
| ~ ( '#sk3' @ '#sk6' ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl46]) ).
thf(zip_derived_cl17,plain,
( ( '#sk3' @ '#sk6' )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) )
| ~ '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl19,plain,
( ( ( '#sk1' @ '#sk7' )
& ( '#sk2' @ '#sk7' ) )
| ~ '#form5'
| ( '#sk3' @ '#sk6' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl23,plain,
( ( '#sk2' @ '#sk7' )
| ( '#sk3' @ '#sk6' )
| ~ '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl77,plain,
( ( '#sk2' @ '#sk7' )
| ~ '#form5' ),
inference(clc,[status(thm)],[zip_derived_cl48,zip_derived_cl23]) ).
thf(zip_derived_cl35,plain,
! [X2: $i] :
( ~ ( '#sk2' @ X2 )
| ~ '#form5'
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl78,plain,
( ~ '#form5'
| ~ ( '#sk1' @ '#sk7' )
| ~ '#form5' ),
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl35]) ).
thf(zip_derived_cl80,plain,
( ~ ( '#sk1' @ '#sk7' )
| ~ '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl83,plain,
( ~ '#form5'
| ( '#sk1' @ '#sk6' )
| ~ '#form5' ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl80]) ).
thf(zip_derived_cl87,plain,
( ( '#sk1' @ '#sk6' )
| ~ '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl46_007,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ~ ( '#sk3' @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl34,zip_derived_cl32]) ).
thf(zip_derived_cl90,plain,
( ~ '#form5'
| ~ ( '#sk3' @ '#sk6' ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl46]) ).
thf(zip_derived_cl22,plain,
( ( '#sk1' @ '#sk7' )
| ( '#sk3' @ '#sk6' )
| ~ '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl80_008,plain,
( ~ ( '#sk1' @ '#sk7' )
| ~ '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl82,plain,
( ~ '#form5'
| ( '#sk3' @ '#sk6' )
| ~ '#form5' ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl80]) ).
thf(zip_derived_cl86,plain,
( ( '#sk3' @ '#sk6' )
| ~ '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl92,plain,
~ '#form5',
inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl86]) ).
thf(zip_derived_cl93,plain,
'#sk1' @ '#sk4',
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl92]) ).
thf(zip_derived_cl26,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) )
| '#form5' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl30,plain,
! [X2: $i] :
( ~ ( ( '#sk1' @ X2 )
& ( '#sk2' @ X2 ) )
| '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl33,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ~ ( '#sk2' @ X2 )
| '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl92_009,plain,
~ '#form5',
inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl86]) ).
thf(zip_derived_cl96,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ~ ( '#sk2' @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl92]) ).
thf(zip_derived_cl99,plain,
~ ( '#sk2' @ '#sk4' ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl96]) ).
thf(zip_derived_cl9,plain,
( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl10_010,plain,
( ~ '#form5'
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk3' @ Y0 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl13,plain,
( '#form5'
| ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ),
inference(renaming,[status(thm)],[zip_derived_cl9,zip_derived_cl10]) ).
thf(zip_derived_cl15,plain,
( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' )
| '#form5' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl12_011,plain,
( '#form5'
| ( '#sk1' @ '#sk4' ) ),
inference(renaming,[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).
thf(zip_derived_cl32_012,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ~ ( '#sk3' @ X2 )
| '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl39,plain,
( '#form5'
| '#form5'
| ~ ( '#sk3' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl32]) ).
thf(zip_derived_cl44,plain,
( ~ ( '#sk3' @ '#sk4' )
| '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl62,plain,
( '#form5'
| ( '#sk2' @ '#sk4' )
| '#form5' ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl44]) ).
thf(zip_derived_cl65,plain,
( ( '#sk2' @ '#sk4' )
| '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl92_013,plain,
~ '#form5',
inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl86]) ).
thf(zip_derived_cl95,plain,
'#sk2' @ '#sk4',
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl92]) ).
thf(zip_derived_cl103,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET624^3 : TPTP v9.2.0. Released v3.6.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.A2y1mTb4wF true
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 12:54:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.55/0.66 % Total configuration time : 828
% 0.55/0.66 % Estimated wc time : 1656
% 0.55/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.81 % Solved by lams/20_acsne_simpl.sh.
% 0.57/0.81 % done 35 iterations in 0.027s
% 0.57/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.81 % SZS output start Refutation
% See solution above
% 0.57/0.81
% 0.57/0.81
% 0.57/0.81 % Terminating...
% 1.77/0.85 % Runner terminated.
% 1.77/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------