TSTP Solution File: ALG273^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG273^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jmi5PUdQqB true
% Computer : n020.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 : Wed Aug 30 17:12:41 EDT 2023
% Result : Theorem 1.36s 1.23s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 42
% Syntax : Number of formulae : 160 ( 50 unt; 20 typ; 0 def)
% Number of atoms : 651 ( 279 equ; 0 cnn)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1879 ( 144 ~; 134 |; 76 &;1270 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 81 ( 81 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 19 usr; 12 con; 0-2 aty)
% ( 211 !!; 38 ??; 0 @@+; 0 @@-)
% Number of variables : 450 ( 288 ^; 152 !; 10 ?; 450 :)
% Comments :
%------------------------------------------------------------------------------
thf(g_type,type,
g: $tType ).
thf(cGRP_LEFT_INVERSE_type,type,
cGRP_LEFT_INVERSE: ( g > g > g ) > g > $o ).
thf('#sk4_type',type,
'#sk4': g > g ).
thf('#sk2_type',type,
'#sk2': g ).
thf('#sk11_type',type,
'#sk11': g ).
thf(cGROUP3_type,type,
cGROUP3: ( g > g > g ) > g > $o ).
thf(cGRP_RIGHT_INVERSE_type,type,
cGRP_RIGHT_INVERSE: ( g > g > g ) > g > $o ).
thf(cGRP_RIGHT_UNIT_type,type,
cGRP_RIGHT_UNIT: ( g > g > g ) > g > $o ).
thf('#sk10_type',type,
'#sk10': g ).
thf('#sk9_type',type,
'#sk9': g ).
thf(cGRP_LEFT_UNIT_type,type,
cGRP_LEFT_UNIT: ( g > g > g ) > g > $o ).
thf(cGRP_ASSOC_type,type,
cGRP_ASSOC: ( g > g > g ) > $o ).
thf('#sk1_type',type,
'#sk1': g > g > g ).
thf('#sk5_type',type,
'#sk5': g > g ).
thf(cGROUP2_type,type,
cGROUP2: ( g > g > g ) > g > $o ).
thf('#sk12_type',type,
'#sk12': g ).
thf('#form3_type',type,
'#form3': $o ).
thf('#sk8_type',type,
'#sk8': g ).
thf('#sk7_type',type,
'#sk7': g ).
thf('#sk6_type',type,
'#sk6': g ).
thf(cGROUP3_def,axiom,
( cGROUP3
= ( ^ [Xf: g > g > g,Xe: g] :
( ( cGRP_ASSOC @ Xf )
& ( cGRP_RIGHT_UNIT @ Xf @ Xe )
& ( cGRP_RIGHT_INVERSE @ Xf @ Xe ) ) ) ) ).
thf(cGRP_RIGHT_UNIT_def,axiom,
( cGRP_RIGHT_UNIT
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
( ( Xf @ Xa @ Xe )
= Xa ) ) ) ).
thf('0',plain,
( cGRP_RIGHT_UNIT
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
( ( Xf @ Xa @ Xe )
= Xa ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGRP_RIGHT_UNIT_def]) ).
thf('1',plain,
( cGRP_RIGHT_UNIT
= ( ^ [V_1: g > g > g,V_2: g] :
! [X4: g] :
( ( V_1 @ X4 @ V_2 )
= X4 ) ) ),
define([status(thm)]) ).
thf(cGRP_RIGHT_INVERSE_def,axiom,
( cGRP_RIGHT_INVERSE
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
? [Xb: g] :
( ( Xf @ Xa @ Xb )
= Xe ) ) ) ).
thf('2',plain,
( cGRP_RIGHT_INVERSE
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
? [Xb: g] :
( ( Xf @ Xa @ Xb )
= Xe ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGRP_RIGHT_INVERSE_def]) ).
thf('3',plain,
( cGRP_RIGHT_INVERSE
= ( ^ [V_1: g > g > g,V_2: g] :
! [X4: g] :
? [X6: g] :
( ( V_1 @ X4 @ X6 )
= V_2 ) ) ),
define([status(thm)]) ).
thf(cGRP_ASSOC_def,axiom,
( cGRP_ASSOC
= ( ^ [Xf: g > g > g] :
! [Xa: g,Xb: g,Xc: g] :
( ( Xf @ ( Xf @ Xa @ Xb ) @ Xc )
= ( Xf @ Xa @ ( Xf @ Xb @ Xc ) ) ) ) ) ).
thf('4',plain,
( cGRP_ASSOC
= ( ^ [Xf: g > g > g] :
! [Xa: g,Xb: g,Xc: g] :
( ( Xf @ ( Xf @ Xa @ Xb ) @ Xc )
= ( Xf @ Xa @ ( Xf @ Xb @ Xc ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGRP_ASSOC_def]) ).
thf('5',plain,
( cGRP_ASSOC
= ( ^ [V_1: g > g > g] :
! [X4: g,X6: g,X8: g] :
( ( V_1 @ ( V_1 @ X4 @ X6 ) @ X8 )
= ( V_1 @ X4 @ ( V_1 @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf('6',plain,
( cGROUP3
= ( ^ [Xf: g > g > g,Xe: g] :
( ( cGRP_ASSOC @ Xf )
& ( cGRP_RIGHT_UNIT @ Xf @ Xe )
& ( cGRP_RIGHT_INVERSE @ Xf @ Xe ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGROUP3_def,'1','3','5']) ).
thf('7',plain,
( cGROUP3
= ( ^ [V_1: g > g > g,V_2: g] :
( ( cGRP_ASSOC @ V_1 )
& ( cGRP_RIGHT_UNIT @ V_1 @ V_2 )
& ( cGRP_RIGHT_INVERSE @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(cGROUP2_def,axiom,
( cGROUP2
= ( ^ [Xf: g > g > g,Xe: g] :
( ( cGRP_ASSOC @ Xf )
& ( cGRP_LEFT_UNIT @ Xf @ Xe )
& ( cGRP_LEFT_INVERSE @ Xf @ Xe ) ) ) ) ).
thf(cGRP_LEFT_UNIT_def,axiom,
( cGRP_LEFT_UNIT
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
( ( Xf @ Xe @ Xa )
= Xa ) ) ) ).
thf('8',plain,
( cGRP_LEFT_UNIT
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
( ( Xf @ Xe @ Xa )
= Xa ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGRP_LEFT_UNIT_def]) ).
thf('9',plain,
( cGRP_LEFT_UNIT
= ( ^ [V_1: g > g > g,V_2: g] :
! [X4: g] :
( ( V_1 @ V_2 @ X4 )
= X4 ) ) ),
define([status(thm)]) ).
thf(cGRP_LEFT_INVERSE_def,axiom,
( cGRP_LEFT_INVERSE
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
? [Xb: g] :
( ( Xf @ Xb @ Xa )
= Xe ) ) ) ).
thf('10',plain,
( cGRP_LEFT_INVERSE
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
? [Xb: g] :
( ( Xf @ Xb @ Xa )
= Xe ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGRP_LEFT_INVERSE_def]) ).
thf('11',plain,
( cGRP_LEFT_INVERSE
= ( ^ [V_1: g > g > g,V_2: g] :
! [X4: g] :
? [X6: g] :
( ( V_1 @ X6 @ X4 )
= V_2 ) ) ),
define([status(thm)]) ).
thf('12',plain,
( cGROUP2
= ( ^ [Xf: g > g > g,Xe: g] :
( ( cGRP_ASSOC @ Xf )
& ( cGRP_LEFT_UNIT @ Xf @ Xe )
& ( cGRP_LEFT_INVERSE @ Xf @ Xe ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGROUP2_def,'9','11','5']) ).
thf('13',plain,
( cGROUP2
= ( ^ [V_1: g > g > g,V_2: g] :
( ( cGRP_ASSOC @ V_1 )
& ( cGRP_LEFT_UNIT @ V_1 @ V_2 )
& ( cGRP_LEFT_INVERSE @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(cEQUIV_02_03,conjecture,
! [Xf: g > g > g,Xe: g] :
( ( cGROUP2 @ Xf @ Xe )
<=> ( cGROUP3 @ Xf @ Xe ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: g > g > g,X6: g] :
( ( ! [X16: g] :
? [X18: g] :
( ( X4 @ X18 @ X16 )
= X6 )
& ! [X14: g] :
( ( X4 @ X6 @ X14 )
= X14 )
& ! [X8: g,X10: g,X12: g] :
( ( X4 @ ( X4 @ X8 @ X10 ) @ X12 )
= ( X4 @ X8 @ ( X4 @ X10 @ X12 ) ) ) )
<=> ( ! [X28: g] :
? [X30: g] :
( ( X4 @ X28 @ X30 )
= X6 )
& ! [X26: g] :
( ( X4 @ X26 @ X6 )
= X26 )
& ! [X20: g,X22: g,X24: g] :
( ( X4 @ ( X4 @ X20 @ X22 ) @ X24 )
= ( X4 @ X20 @ ( X4 @ X22 @ X24 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: g > g > g,X6: g] :
( ( ! [X16: g] :
? [X18: g] :
( ( X4 @ X18 @ X16 )
= X6 )
& ! [X14: g] :
( ( X4 @ X6 @ X14 )
= X14 )
& ! [X8: g,X10: g,X12: g] :
( ( X4 @ ( X4 @ X8 @ X10 ) @ X12 )
= ( X4 @ X8 @ ( X4 @ X10 @ X12 ) ) ) )
<=> ( ! [X28: g] :
? [X30: g] :
( ( X4 @ X28 @ X30 )
= X6 )
& ! [X26: g] :
( ( X4 @ X26 @ X6 )
= X26 )
& ! [X20: g,X22: g,X24: g] :
( ( X4 @ ( X4 @ X20 @ X22 ) @ X24 )
= ( X4 @ X20 @ ( X4 @ X22 @ X24 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: g > g > g] :
( !!
@ ^ [Y1: g] :
( ( ( !!
@ ^ [Y2: g] :
( ??
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ Y2 )
= Y1 ) ) )
& ( !!
@ ^ [Y2: g] :
( ( Y0 @ Y1 @ Y2 )
= Y2 ) )
& ( !!
@ ^ [Y2: g] :
( !!
@ ^ [Y3: g] :
( !!
@ ^ [Y4: g] :
( ( Y0 @ ( Y0 @ Y2 @ Y3 ) @ Y4 )
= ( Y0 @ Y2 @ ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) )
<=> ( ( !!
@ ^ [Y2: g] :
( ??
@ ^ [Y3: g] :
( ( Y0 @ Y2 @ Y3 )
= Y1 ) ) )
& ( !!
@ ^ [Y2: g] :
( ( Y0 @ Y2 @ Y1 )
= Y2 ) )
& ( !!
@ ^ [Y2: g] :
( !!
@ ^ [Y3: g] :
( !!
@ ^ [Y4: g] :
( ( Y0 @ ( Y0 @ Y2 @ Y3 ) @ Y4 )
= ( Y0 @ Y2 @ ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: g] :
( ( ( !!
@ ^ [Y1: g] :
( ??
@ ^ [Y2: g] :
( ( '#sk1' @ Y2 @ Y1 )
= Y0 ) ) )
& ( !!
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= Y1 ) )
& ( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( !!
@ ^ [Y3: g] :
( ( '#sk1' @ ( '#sk1' @ Y1 @ Y2 ) @ Y3 )
= ( '#sk1' @ Y1 @ ( '#sk1' @ Y2 @ Y3 ) ) ) ) ) ) )
<=> ( ( !!
@ ^ [Y1: g] :
( ??
@ ^ [Y2: g] :
( ( '#sk1' @ Y1 @ Y2 )
= Y0 ) ) )
& ( !!
@ ^ [Y1: g] :
( ( '#sk1' @ Y1 @ Y0 )
= Y1 ) )
& ( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( !!
@ ^ [Y3: g] :
( ( '#sk1' @ ( '#sk1' @ Y1 @ Y2 ) @ Y3 )
= ( '#sk1' @ Y1 @ ( '#sk1' @ Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) )
<=> ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) )
!= ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) )
| ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) )
| ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6_001,plain,
( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) )
| ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
( ~ '#form3'
| ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl13,plain,
( '#form3'
| ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl6,zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
! [X2: g] :
( ( ??
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ X2 )
= '#sk2' ) )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
! [X2: g] :
( ( ( '#sk1' @ ( '#sk4' @ X2 ) @ X2 )
= '#sk2' )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl30,plain,
! [X2: g] :
( ( ( '#sk1' @ ( '#sk4' @ X2 ) @ X2 )
= '#sk2' )
| '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl30_002,plain,
! [X2: g] :
( ( ( '#sk1' @ ( '#sk4' @ X2 ) @ X2 )
= '#sk2' )
| '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl8,plain,
( ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl15,plain,
( ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
! [X2: g] :
( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( '#sk1' @ ( '#sk1' @ X2 @ Y0 ) @ Y1 )
= ( '#sk1' @ X2 @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl23,plain,
! [X2: g,X4: g] :
( !!
@ ^ [Y0: g] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ Y0 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl29,plain,
! [X2: g,X4: g,X6: g] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl33,plain,
! [X2: g,X4: g,X6: g] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl50,plain,
! [X0: g,X1: g] :
( ( ( '#sk1' @ '#sk2' @ X0 )
= ( '#sk1' @ ( '#sk4' @ X1 ) @ ( '#sk1' @ X1 @ X0 ) ) )
| '#form3' ),
inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl33]) ).
thf(zip_derived_cl9_003,plain,
( ~ '#form3'
| ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl10,plain,
( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
| ~ '#form3' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl19,plain,
! [X2: g] :
( ( ??
@ ^ [Y0: g] :
( ( '#sk1' @ X2 @ Y0 )
= '#sk2' ) )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl25,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ ( '#sk5' @ X2 ) )
= '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl31,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ ( '#sk5' @ X2 ) )
= '#sk2' )
| ~ '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl31_004,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ ( '#sk5' @ X2 ) )
= '#sk2' )
| ~ '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl33_005,plain,
! [X2: g,X4: g,X6: g] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl45,plain,
! [X0: g,X1: g] :
( ( ( '#sk1' @ '#sk2' @ X0 )
= ( '#sk1' @ X1 @ ( '#sk1' @ ( '#sk5' @ X1 ) @ X0 ) ) )
| ~ '#form3' ),
inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl33]) ).
thf(zip_derived_cl181,plain,
! [X0: g] :
( ( ( '#sk1' @ '#sk2' @ ( '#sk5' @ ( '#sk5' @ X0 ) ) )
= ( '#sk1' @ X0 @ '#sk2' ) )
| ~ '#form3'
| ~ '#form3' ),
inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl45]) ).
thf(zip_derived_cl197,plain,
! [X0: g] :
( ~ '#form3'
| ( ( '#sk1' @ '#sk2' @ ( '#sk5' @ ( '#sk5' @ X0 ) ) )
= ( '#sk1' @ X0 @ '#sk2' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl11,plain,
( ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
| ~ '#form3' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl20,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ '#sk2' )
= X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl26,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ '#sk2' )
= X2 )
| ~ '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl226,plain,
! [X0: g] :
( ( ( '#sk1' @ '#sk2' @ ( '#sk5' @ ( '#sk5' @ X0 ) ) )
= X0 )
| ~ '#form3'
| ~ '#form3' ),
inference('sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl26]) ).
thf(zip_derived_cl242,plain,
! [X0: g] :
( ~ '#form3'
| ( ( '#sk1' @ '#sk2' @ ( '#sk5' @ ( '#sk5' @ X0 ) ) )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl226]) ).
thf(zip_derived_cl26_006,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ '#sk2' )
= X2 )
| ~ '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl33_007,plain,
! [X2: g,X4: g,X6: g] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl46,plain,
! [X0: g,X1: g] :
( ( ( '#sk1' @ X0 @ X1 )
= ( '#sk1' @ X0 @ ( '#sk1' @ '#sk2' @ X1 ) ) )
| ~ '#form3' ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl33]) ).
thf(zip_derived_cl7,plain,
( ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 ) )
| ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9_008,plain,
( ~ '#form3'
| ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl14,plain,
( '#form3'
| ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl7,zip_derived_cl9]) ).
thf(zip_derived_cl22,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk2' @ X2 )
= X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl28,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk2' @ X2 )
= X2 )
| '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl59,plain,
! [X0: g,X1: g] :
( ( '#sk1' @ X0 @ X1 )
= ( '#sk1' @ X0 @ ( '#sk1' @ '#sk2' @ X1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl46,zip_derived_cl28]) ).
thf(zip_derived_cl251,plain,
! [X0: g,X1: g] :
( ( ( '#sk1' @ X1 @ ( '#sk5' @ ( '#sk5' @ X0 ) ) )
= ( '#sk1' @ X1 @ X0 ) )
| ~ '#form3' ),
inference('sup+',[status(thm)],[zip_derived_cl242,zip_derived_cl59]) ).
thf(zip_derived_cl242_009,plain,
! [X0: g] :
( ~ '#form3'
| ( ( '#sk1' @ '#sk2' @ ( '#sk5' @ ( '#sk5' @ X0 ) ) )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl226]) ).
thf(zip_derived_cl413,plain,
! [X0: g] :
( ( ( '#sk1' @ '#sk2' @ X0 )
= X0 )
| ~ '#form3'
| ~ '#form3' ),
inference('sup+',[status(thm)],[zip_derived_cl251,zip_derived_cl242]) ).
thf(zip_derived_cl437,plain,
! [X0: g] :
( ~ '#form3'
| ( ( '#sk1' @ '#sk2' @ X0 )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl413]) ).
thf(zip_derived_cl28_010,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk2' @ X2 )
= X2 )
| '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl452,plain,
! [X0: g] :
( ( '#sk1' @ '#sk2' @ X0 )
= X0 ),
inference(clc,[status(thm)],[zip_derived_cl437,zip_derived_cl28]) ).
thf(zip_derived_cl544,plain,
! [X0: g,X1: g] :
( ( X0
= ( '#sk1' @ ( '#sk4' @ X1 ) @ ( '#sk1' @ X1 @ X0 ) ) )
| '#form3' ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl452]) ).
thf(zip_derived_cl551,plain,
! [X0: g] :
( ( X0
= ( '#sk1' @ ( '#sk4' @ ( '#sk4' @ X0 ) ) @ '#sk2' ) )
| '#form3'
| '#form3' ),
inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl544]) ).
thf(zip_derived_cl572,plain,
! [X0: g] :
( '#form3'
| ( X0
= ( '#sk1' @ ( '#sk4' @ ( '#sk4' @ X0 ) ) @ '#sk2' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl551]) ).
thf(zip_derived_cl251_011,plain,
! [X0: g,X1: g] :
( ( ( '#sk1' @ X1 @ ( '#sk5' @ ( '#sk5' @ X0 ) ) )
= ( '#sk1' @ X1 @ X0 ) )
| ~ '#form3' ),
inference('sup+',[status(thm)],[zip_derived_cl242,zip_derived_cl59]) ).
thf(zip_derived_cl31_012,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ ( '#sk5' @ X2 ) )
= '#sk2' )
| ~ '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl419,plain,
! [X0: g] :
( ( ( '#sk1' @ ( '#sk5' @ X0 ) @ X0 )
= '#sk2' )
| ~ '#form3'
| ~ '#form3' ),
inference('sup+',[status(thm)],[zip_derived_cl251,zip_derived_cl31]) ).
thf(zip_derived_cl441,plain,
! [X0: g] :
( ~ '#form3'
| ( ( '#sk1' @ ( '#sk5' @ X0 ) @ X0 )
= '#sk2' ) ),
inference(simplify,[status(thm)],[zip_derived_cl419]) ).
thf(zip_derived_cl3_013,plain,
( ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) )
!= ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( ~ ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) )
| ~ ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5_014,plain,
( ~ ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) )
| ~ ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl138,plain,
( '#form3'
| ~ ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl9_015,plain,
( ~ '#form3'
| ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl140,plain,
( ~ '#form3'
| ~ ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl5,zip_derived_cl138,zip_derived_cl9]) ).
thf(zip_derived_cl141,plain,
( ~ ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl140]) ).
thf(zip_derived_cl143,plain,
( ~ ( ??
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk7' )
= '#sk2' ) )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl141]) ).
thf(zip_derived_cl145,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl143]) ).
thf(zip_derived_cl148,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| ~ '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl145]) ).
thf(zip_derived_cl149,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk2' @ '#sk9' )
!= '#sk9' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl152,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk2' @ '#sk9' )
!= '#sk9' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl149]) ).
thf(zip_derived_cl153,plain,
! [X2: g] :
( ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( '#sk1' @ ( '#sk1' @ '#sk10' @ Y0 ) @ Y1 )
= ( '#sk1' @ '#sk10' @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) )
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ~ '#form3'
| ( ( '#sk1' @ '#sk2' @ '#sk9' )
!= '#sk9' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl155,plain,
! [X2: g] :
( ~ ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ ( '#sk1' @ '#sk10' @ '#sk11' ) @ Y0 )
= ( '#sk1' @ '#sk10' @ ( '#sk1' @ '#sk11' @ Y0 ) ) ) )
| ( ( '#sk1' @ '#sk2' @ '#sk9' )
!= '#sk9' )
| ~ '#form3'
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl157,plain,
! [X2: g] :
( ( ( '#sk1' @ ( '#sk1' @ '#sk10' @ '#sk11' ) @ '#sk12' )
!= ( '#sk1' @ '#sk10' @ ( '#sk1' @ '#sk11' @ '#sk12' ) ) )
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ~ '#form3'
| ( ( '#sk1' @ '#sk2' @ '#sk9' )
!= '#sk9' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl161,plain,
! [X2: g] :
( ( ( '#sk1' @ ( '#sk1' @ '#sk10' @ '#sk11' ) @ '#sk12' )
!= ( '#sk1' @ '#sk10' @ ( '#sk1' @ '#sk11' @ '#sk12' ) ) )
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ~ '#form3'
| ( ( '#sk1' @ '#sk2' @ '#sk9' )
!= '#sk9' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl157]) ).
thf(zip_derived_cl33_016,plain,
! [X2: g,X4: g,X6: g] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl162,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk10' @ ( '#sk1' @ '#sk11' @ '#sk12' ) )
!= ( '#sk1' @ '#sk10' @ ( '#sk1' @ '#sk11' @ '#sk12' ) ) )
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ~ '#form3'
| ( ( '#sk1' @ '#sk2' @ '#sk9' )
!= '#sk9' ) ),
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl33]) ).
thf(zip_derived_cl163,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk2' @ '#sk9' )
!= '#sk9' )
| ~ '#form3'
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' ) ),
inference(simplify,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl452_017,plain,
! [X0: g] :
( ( '#sk1' @ '#sk2' @ X0 )
= X0 ),
inference(clc,[status(thm)],[zip_derived_cl437,zip_derived_cl28]) ).
thf(zip_derived_cl456,plain,
! [X2: g] :
( ( '#sk9' != '#sk9' )
| ~ '#form3'
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl452]) ).
thf(zip_derived_cl457,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ~ '#form3' ),
inference(simplify,[status(thm)],[zip_derived_cl456]) ).
thf(zip_derived_cl741,plain,
( ( '#sk2' != '#sk2' )
| ~ '#form3'
| ~ '#form3' ),
inference('sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl457]) ).
thf(zip_derived_cl772,plain,
~ '#form3',
inference(simplify,[status(thm)],[zip_derived_cl741]) ).
thf(zip_derived_cl885,plain,
! [X0: g] :
( X0
= ( '#sk1' @ ( '#sk4' @ ( '#sk4' @ X0 ) ) @ '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl572,zip_derived_cl772]) ).
thf(zip_derived_cl33_018,plain,
! [X2: g,X4: g,X6: g] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl887,plain,
! [X0: g,X1: g] :
( ( '#sk1' @ X0 @ X1 )
= ( '#sk1' @ ( '#sk4' @ ( '#sk4' @ X0 ) ) @ ( '#sk1' @ '#sk2' @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl885,zip_derived_cl33]) ).
thf(zip_derived_cl452_019,plain,
! [X0: g] :
( ( '#sk1' @ '#sk2' @ X0 )
= X0 ),
inference(clc,[status(thm)],[zip_derived_cl437,zip_derived_cl28]) ).
thf(zip_derived_cl891,plain,
! [X0: g,X1: g] :
( ( '#sk1' @ X0 @ X1 )
= ( '#sk1' @ ( '#sk4' @ ( '#sk4' @ X0 ) ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl887,zip_derived_cl452]) ).
thf(zip_derived_cl885_020,plain,
! [X0: g] :
( X0
= ( '#sk1' @ ( '#sk4' @ ( '#sk4' @ X0 ) ) @ '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl572,zip_derived_cl772]) ).
thf(zip_derived_cl982,plain,
! [X0: g] :
( X0
= ( '#sk1' @ X0 @ '#sk2' ) ),
inference('sup+',[status(thm)],[zip_derived_cl891,zip_derived_cl885]) ).
thf(zip_derived_cl885_021,plain,
! [X0: g] :
( X0
= ( '#sk1' @ ( '#sk4' @ ( '#sk4' @ X0 ) ) @ '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl572,zip_derived_cl772]) ).
thf(zip_derived_cl1012,plain,
! [X0: g] :
( X0
= ( '#sk4' @ ( '#sk4' @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl982,zip_derived_cl885]) ).
thf(zip_derived_cl30_022,plain,
! [X2: g] :
( ( ( '#sk1' @ ( '#sk4' @ X2 ) @ X2 )
= '#sk2' )
| '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl772_023,plain,
~ '#form3',
inference(simplify,[status(thm)],[zip_derived_cl741]) ).
thf(zip_derived_cl792,plain,
! [X2: g] :
( ( '#sk1' @ ( '#sk4' @ X2 ) @ X2 )
= '#sk2' ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl772]) ).
thf(zip_derived_cl1046,plain,
! [X0: g] :
( ( '#sk1' @ X0 @ ( '#sk4' @ X0 ) )
= '#sk2' ),
inference('sup+',[status(thm)],[zip_derived_cl1012,zip_derived_cl792]) ).
thf(zip_derived_cl138_024,plain,
( '#form3'
| ~ ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl139,plain,
( ~ ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl138]) ).
thf(zip_derived_cl142,plain,
( ~ ( ??
@ ^ [Y0: g] :
( ( '#sk1' @ '#sk6' @ Y0 )
= '#sk2' ) )
| '#form3'
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl144,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl142]) ).
thf(zip_derived_cl146,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl147,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk8' @ '#sk2' )
!= '#sk8' )
| '#form3'
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl150,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk8' @ '#sk2' )
!= '#sk8' )
| '#form3'
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl147]) ).
thf(zip_derived_cl151,plain,
! [X2: g] :
( ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( '#sk1' @ ( '#sk1' @ '#sk10' @ Y0 ) @ Y1 )
= ( '#sk1' @ '#sk10' @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) )
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' )
| '#form3'
| ( ( '#sk1' @ '#sk8' @ '#sk2' )
!= '#sk8' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl150]) ).
thf(zip_derived_cl154,plain,
! [X2: g] :
( ~ ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ ( '#sk1' @ '#sk10' @ '#sk11' ) @ Y0 )
= ( '#sk1' @ '#sk10' @ ( '#sk1' @ '#sk11' @ Y0 ) ) ) )
| ( ( '#sk1' @ '#sk8' @ '#sk2' )
!= '#sk8' )
| '#form3'
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl156,plain,
! [X2: g] :
( ( ( '#sk1' @ ( '#sk1' @ '#sk10' @ '#sk11' ) @ '#sk12' )
!= ( '#sk1' @ '#sk10' @ ( '#sk1' @ '#sk11' @ '#sk12' ) ) )
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' )
| '#form3'
| ( ( '#sk1' @ '#sk8' @ '#sk2' )
!= '#sk8' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl154]) ).
thf(zip_derived_cl158,plain,
! [X2: g] :
( ( ( '#sk1' @ ( '#sk1' @ '#sk10' @ '#sk11' ) @ '#sk12' )
!= ( '#sk1' @ '#sk10' @ ( '#sk1' @ '#sk11' @ '#sk12' ) ) )
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' )
| '#form3'
| ( ( '#sk1' @ '#sk8' @ '#sk2' )
!= '#sk8' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl156]) ).
thf(zip_derived_cl33_025,plain,
! [X2: g,X4: g,X6: g] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl159,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk10' @ ( '#sk1' @ '#sk11' @ '#sk12' ) )
!= ( '#sk1' @ '#sk10' @ ( '#sk1' @ '#sk11' @ '#sk12' ) ) )
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' )
| '#form3'
| ( ( '#sk1' @ '#sk8' @ '#sk2' )
!= '#sk8' ) ),
inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl33]) ).
thf(zip_derived_cl160,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk8' @ '#sk2' )
!= '#sk8' )
| '#form3'
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' ) ),
inference(simplify,[status(thm)],[zip_derived_cl159]) ).
thf(zip_derived_cl772_026,plain,
~ '#form3',
inference(simplify,[status(thm)],[zip_derived_cl741]) ).
thf(zip_derived_cl793,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk8' @ '#sk2' )
!= '#sk8' )
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl772]) ).
thf(zip_derived_cl982_027,plain,
! [X0: g] :
( X0
= ( '#sk1' @ X0 @ '#sk2' ) ),
inference('sup+',[status(thm)],[zip_derived_cl891,zip_derived_cl885]) ).
thf(zip_derived_cl1010,plain,
! [X2: g] :
( ( '#sk8' != '#sk8' )
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl793,zip_derived_cl982]) ).
thf(zip_derived_cl1011,plain,
! [X2: g] :
( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' ),
inference(simplify,[status(thm)],[zip_derived_cl1010]) ).
thf(zip_derived_cl1056,plain,
'#sk2' != '#sk2',
inference('sup-',[status(thm)],[zip_derived_cl1046,zip_derived_cl1011]) ).
thf(zip_derived_cl1066,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1056]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG273^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jmi5PUdQqB true
% 0.14/0.35 % Computer : n020.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 : Mon Aug 28 03:04:59 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
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.35/0.90 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.35/0.92 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.36/1.23 % Solved by lams/20_acsne_simpl.sh.
% 1.36/1.23 % done 187 iterations in 0.159s
% 1.36/1.23 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/1.23 % SZS output start Refutation
% See solution above
% 1.36/1.23
% 1.36/1.23
% 1.36/1.23 % Terminating...
% 1.84/1.42 % Runner terminated.
% 1.84/1.42 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------