TSTP Solution File: ALG271^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG271^5 : 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.qitI1eB7SJ true
% Computer : n026.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 17:12:40 EDT 2023
% Result : Theorem 0.21s 0.87s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 42
% Syntax : Number of formulae : 146 ( 52 unt; 20 typ; 0 def)
% Number of atoms : 690 ( 332 equ; 0 cnn)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 1994 ( 139 ~; 125 |; 128 &;1337 @)
% ( 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)
% ( 221 !!; 38 ??; 0 @@+; 0 @@-)
% Number of variables : 435 ( 298 ^; 127 !; 10 ?; 435 :)
% Comments :
%------------------------------------------------------------------------------
thf(g_type,type,
g: $tType ).
thf(cGRP_INVERSE_type,type,
cGRP_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_UNIT_type,type,
cGRP_RIGHT_UNIT: ( g > g > g ) > g > $o ).
thf(cGRP_UNIT_type,type,
cGRP_UNIT: ( g > g > g ) > g > $o ).
thf('#sk10_type',type,
'#sk10': g ).
thf('#sk9_type',type,
'#sk9': g ).
thf(cGRP_RIGHT_INVERSE_type,type,
cGRP_RIGHT_INVERSE: ( 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(cGROUP1_type,type,
cGROUP1: ( 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(cGROUP1_def,axiom,
( cGROUP1
= ( ^ [Xf: g > g > g,Xe: g] :
( ( cGRP_ASSOC @ Xf )
& ( cGRP_UNIT @ Xf @ Xe )
& ( cGRP_INVERSE @ Xf @ Xe ) ) ) ) ).
thf(cGRP_UNIT_def,axiom,
( cGRP_UNIT
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
( ( ( Xf @ Xa @ Xe )
= Xa )
& ( ( Xf @ Xe @ Xa )
= Xa ) ) ) ) ).
thf('8',plain,
( cGRP_UNIT
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
( ( ( Xf @ Xa @ Xe )
= Xa )
& ( ( Xf @ Xe @ Xa )
= Xa ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGRP_UNIT_def]) ).
thf('9',plain,
( cGRP_UNIT
= ( ^ [V_1: g > g > g,V_2: g] :
! [X4: g] :
( ( ( V_1 @ X4 @ V_2 )
= X4 )
& ( ( V_1 @ V_2 @ X4 )
= X4 ) ) ) ),
define([status(thm)]) ).
thf(cGRP_INVERSE_def,axiom,
( cGRP_INVERSE
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
? [Xb: g] :
( ( ( Xf @ Xb @ Xa )
= Xe )
& ( ( Xf @ Xa @ Xb )
= Xe ) ) ) ) ).
thf('10',plain,
( cGRP_INVERSE
= ( ^ [Xf: g > g > g,Xe: g] :
! [Xa: g] :
? [Xb: g] :
( ( ( Xf @ Xb @ Xa )
= Xe )
& ( ( Xf @ Xa @ Xb )
= Xe ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGRP_INVERSE_def]) ).
thf('11',plain,
( cGRP_INVERSE
= ( ^ [V_1: g > g > g,V_2: g] :
! [X4: g] :
? [X6: g] :
( ( ( V_1 @ X6 @ X4 )
= V_2 )
& ( ( V_1 @ X4 @ X6 )
= V_2 ) ) ) ),
define([status(thm)]) ).
thf('12',plain,
( cGROUP1
= ( ^ [Xf: g > g > g,Xe: g] :
( ( cGRP_ASSOC @ Xf )
& ( cGRP_UNIT @ Xf @ Xe )
& ( cGRP_INVERSE @ Xf @ Xe ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cGROUP1_def,'9','11','5']) ).
thf('13',plain,
( cGROUP1
= ( ^ [V_1: g > g > g,V_2: g] :
( ( cGRP_ASSOC @ V_1 )
& ( cGRP_UNIT @ V_1 @ V_2 )
& ( cGRP_INVERSE @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(cEQUIV_01_03,conjecture,
! [Xf: g > g > g,Xe: g] :
( ( cGROUP1 @ Xf @ Xe )
<=> ( cGROUP3 @ Xf @ Xe ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: g > g > g,X6: g] :
( ( ! [X16: g] :
? [X18: g] :
( ( ( X4 @ X16 @ X18 )
= X6 )
& ( ( X4 @ X18 @ X16 )
= X6 ) )
& ! [X14: g] :
( ( ( X4 @ X6 @ X14 )
= X14 )
& ( ( X4 @ X14 @ X6 )
= 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 @ X16 @ X18 )
= X6 )
& ( ( X4 @ X18 @ X16 )
= X6 ) )
& ! [X14: g] :
( ( ( X4 @ X6 @ X14 )
= X14 )
& ( ( X4 @ X14 @ X6 )
= 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 @ Y2 @ Y3 )
= Y1 )
& ( ( Y0 @ Y3 @ Y2 )
= Y1 ) ) ) )
& ( !!
@ ^ [Y2: g] :
( ( ( Y0 @ Y1 @ Y2 )
= Y2 )
& ( ( Y0 @ Y2 @ Y1 )
= 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' @ Y1 @ Y2 )
= Y0 )
& ( ( '#sk1' @ Y2 @ Y1 )
= Y0 ) ) ) )
& ( !!
@ ^ [Y1: g] :
( ( ( '#sk1' @ Y0 @ Y1 )
= Y1 )
& ( ( '#sk1' @ Y1 @ Y0 )
= 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' @ Y0 @ Y1 )
= '#sk2' )
& ( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) ) )
& ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= 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' @ Y0 @ Y1 )
= '#sk2' )
& ( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) ) )
& ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= 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' @ Y0 @ Y1 )
= '#sk2' )
& ( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) ) )
& ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= 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' @ Y0 @ Y1 )
= '#sk2' )
& ( ( '#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_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_cl33,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ ( '#sk5' @ X2 ) )
= '#sk2' )
| ~ '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl6_001,plain,
( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' )
& ( ( '#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_002,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' @ Y0 @ Y1 )
= '#sk2' )
& ( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl6,zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
! [X2: g] :
( ( ??
@ ^ [Y0: g] :
( ( ( '#sk1' @ X2 @ Y0 )
= '#sk2' )
& ( ( '#sk1' @ Y0 @ X2 )
= '#sk2' ) ) )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
! [X2: g] :
( ( ( ( '#sk1' @ X2 @ ( '#sk4' @ X2 ) )
= '#sk2' )
& ( ( '#sk1' @ ( '#sk4' @ X2 ) @ X2 )
= '#sk2' ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl31,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ ( '#sk4' @ X2 ) )
= '#sk2' )
| '#form3' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl38,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ ( '#sk4' @ X2 ) )
= '#sk2' )
| '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl3_003,plain,
( ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' )
& ( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) ) )
& ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= 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' @ Y0 @ Y1 )
= '#sk2' )
& ( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) ) )
& ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= 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_cl120,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_cl121,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_cl120]) ).
thf(zip_derived_cl124,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_cl121]) ).
thf(zip_derived_cl126,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_cl124]) ).
thf(zip_derived_cl128,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_cl126]) ).
thf(zip_derived_cl129,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_cl128]) ).
thf(zip_derived_cl131,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_cl129]) ).
thf(zip_derived_cl7,plain,
( ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= 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_004,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 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl7,zip_derived_cl9]) ).
thf(zip_derived_cl22,plain,
! [X2: g] :
( ( ( ( '#sk1' @ '#sk2' @ X2 )
= X2 )
& ( ( '#sk1' @ X2 @ '#sk2' )
= X2 ) )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl29,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ '#sk2' )
= X2 )
| '#form3' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl36,plain,
! [X2: g] :
( ( ( '#sk1' @ X2 @ '#sk2' )
= X2 )
| '#form3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
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_cl41,plain,
! [X2: g] :
( ( '#sk1' @ X2 @ '#sk2' )
= X2 ),
inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl26]) ).
thf(zip_derived_cl132,plain,
! [X2: g] :
( ( '#sk8' != '#sk8' )
| '#form3'
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl41]) ).
thf(zip_derived_cl133,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
| '#form3' ),
inference(simplify,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl134,plain,
! [X2: g] :
( ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( '#sk1' @ ( '#sk1' @ '#sk9' @ Y0 ) @ Y1 )
= ( '#sk1' @ '#sk9' @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) )
| '#form3'
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl133]) ).
thf(zip_derived_cl137,plain,
! [X2: g] :
( ~ ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ ( '#sk1' @ '#sk9' @ '#sk10' ) @ Y0 )
= ( '#sk1' @ '#sk9' @ ( '#sk1' @ '#sk10' @ Y0 ) ) ) )
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl139,plain,
! [X2: g] :
( ( ( '#sk1' @ ( '#sk1' @ '#sk9' @ '#sk10' ) @ '#sk11' )
!= ( '#sk1' @ '#sk9' @ ( '#sk1' @ '#sk10' @ '#sk11' ) ) )
| '#form3'
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl141,plain,
! [X2: g] :
( ( ( '#sk1' @ ( '#sk1' @ '#sk9' @ '#sk10' ) @ '#sk11' )
!= ( '#sk1' @ '#sk9' @ ( '#sk1' @ '#sk10' @ '#sk11' ) ) )
| '#form3'
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl139]) ).
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_cl30,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_cl37,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_cl30]) ).
thf(zip_derived_cl142,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk9' @ ( '#sk1' @ '#sk10' @ '#sk11' ) )
!= ( '#sk1' @ '#sk9' @ ( '#sk1' @ '#sk10' @ '#sk11' ) ) )
| '#form3'
| ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl37]) ).
thf(zip_derived_cl143,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk6' @ X2 )
!= '#sk2' )
| '#form3' ),
inference(simplify,[status(thm)],[zip_derived_cl142]) ).
thf(zip_derived_cl152,plain,
( ( '#sk2' != '#sk2' )
| '#form3'
| '#form3' ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl143]) ).
thf(zip_derived_cl160,plain,
'#form3',
inference(simplify,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl163,plain,
! [X2: g] :
( ( '#sk1' @ X2 @ ( '#sk5' @ X2 ) )
= '#sk2' ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl160]) ).
thf(zip_derived_cl5_005,plain,
( ~ ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' )
& ( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) ) )
& ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= 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_cl120_006,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_007,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_cl122,plain,
( ~ '#form3'
| ~ ( ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' )
& ( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) ) )
& ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= 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_cl120,zip_derived_cl9]) ).
thf(zip_derived_cl123,plain,
( ~ ( !!
@ ^ [Y0: g] :
( ??
@ ^ [Y1: g] :
( ( ( '#sk1' @ Y0 @ Y1 )
= '#sk2' )
& ( ( '#sk1' @ Y1 @ Y0 )
= '#sk2' ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#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_cl122]) ).
thf(zip_derived_cl125,plain,
( ~ ( ??
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk7' @ Y0 )
= '#sk2' )
& ( ( '#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 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl123]) ).
thf(zip_derived_cl127,plain,
! [X2: g] :
( ~ ( ( ( '#sk1' @ '#sk7' @ X2 )
= '#sk2' )
& ( ( '#sk1' @ X2 @ '#sk7' )
= '#sk2' ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#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_cl125]) ).
thf(zip_derived_cl130,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' )
| ( ( '#sk1' @ X2 @ '#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 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl135,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' )
| ( ( '#sk1' @ X2 @ '#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 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl136,plain,
! [X2: g] :
( ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( '#sk1' @ ( '#sk1' @ '#sk9' @ Y0 ) @ Y1 )
= ( '#sk1' @ '#sk9' @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) ) )
| ~ '#form3'
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl138,plain,
! [X2: g] :
( ~ ( !!
@ ^ [Y0: g] :
( ( '#sk1' @ ( '#sk1' @ '#sk9' @ '#sk10' ) @ Y0 )
= ( '#sk1' @ '#sk9' @ ( '#sk1' @ '#sk10' @ Y0 ) ) ) )
| ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' )
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl140,plain,
! [X2: g] :
( ( ( '#sk1' @ ( '#sk1' @ '#sk9' @ '#sk10' ) @ '#sk11' )
!= ( '#sk1' @ '#sk9' @ ( '#sk1' @ '#sk10' @ '#sk11' ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) ) )
| ~ '#form3'
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl138]) ).
thf(zip_derived_cl144,plain,
! [X2: g] :
( ( ( '#sk1' @ ( '#sk1' @ '#sk9' @ '#sk10' ) @ '#sk11' )
!= ( '#sk1' @ '#sk9' @ ( '#sk1' @ '#sk10' @ '#sk11' ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) ) )
| ~ '#form3'
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl140]) ).
thf(zip_derived_cl37_008,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_cl30]) ).
thf(zip_derived_cl145,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk9' @ ( '#sk1' @ '#sk10' @ '#sk11' ) )
!= ( '#sk1' @ '#sk9' @ ( '#sk1' @ '#sk10' @ '#sk11' ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) ) )
| ~ '#form3'
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl37]) ).
thf(zip_derived_cl146,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' )
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
= Y0 )
& ( ( '#sk1' @ Y0 @ '#sk2' )
= Y0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl145]) ).
thf(zip_derived_cl147,plain,
! [X2: g] :
( ~ ( ( ( '#sk1' @ '#sk2' @ '#sk12' )
= '#sk12' )
& ( ( '#sk1' @ '#sk12' @ '#sk2' )
= '#sk12' ) )
| ~ '#form3'
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl41_009,plain,
! [X2: g] :
( ( '#sk1' @ X2 @ '#sk2' )
= X2 ),
inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl26]) ).
thf(zip_derived_cl148,plain,
! [X2: g] :
( ~ ( ( ( '#sk1' @ '#sk2' @ '#sk12' )
= '#sk12' )
& ( '#sk12' = '#sk12' ) )
| ~ '#form3'
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl41]) ).
thf(zip_derived_cl149,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk2' @ '#sk12' )
!= '#sk12' )
| ~ '#form3'
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl150,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk2' @ '#sk12' )
!= '#sk12' )
| ~ '#form3'
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl149]) ).
thf(zip_derived_cl160_010,plain,
'#form3',
inference(simplify,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl183,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk2' @ '#sk12' )
!= '#sk12' )
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl160]) ).
thf(zip_derived_cl163_011,plain,
! [X2: g] :
( ( '#sk1' @ X2 @ ( '#sk5' @ X2 ) )
= '#sk2' ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl160]) ).
thf(zip_derived_cl163_012,plain,
! [X2: g] :
( ( '#sk1' @ X2 @ ( '#sk5' @ X2 ) )
= '#sk2' ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl160]) ).
thf(zip_derived_cl37_013,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_cl30]) ).
thf(zip_derived_cl166,plain,
! [X0: g,X1: g] :
( ( '#sk1' @ '#sk2' @ X0 )
= ( '#sk1' @ X1 @ ( '#sk1' @ ( '#sk5' @ X1 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl163,zip_derived_cl37]) ).
thf(zip_derived_cl312,plain,
! [X0: g] :
( ( '#sk1' @ '#sk2' @ ( '#sk5' @ ( '#sk5' @ X0 ) ) )
= ( '#sk1' @ X0 @ '#sk2' ) ),
inference('sup+',[status(thm)],[zip_derived_cl163,zip_derived_cl166]) ).
thf(zip_derived_cl41_014,plain,
! [X2: g] :
( ( '#sk1' @ X2 @ '#sk2' )
= X2 ),
inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl26]) ).
thf(zip_derived_cl328,plain,
! [X0: g] :
( ( '#sk1' @ '#sk2' @ ( '#sk5' @ ( '#sk5' @ X0 ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl312,zip_derived_cl41]) ).
thf(zip_derived_cl41_015,plain,
! [X2: g] :
( ( '#sk1' @ X2 @ '#sk2' )
= X2 ),
inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl26]) ).
thf(zip_derived_cl37_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_cl30]) ).
thf(zip_derived_cl69,plain,
! [X0: g,X1: g] :
( ( '#sk1' @ X0 @ X1 )
= ( '#sk1' @ X0 @ ( '#sk1' @ '#sk2' @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl37]) ).
thf(zip_derived_cl346,plain,
! [X0: g,X1: g] :
( ( '#sk1' @ X1 @ ( '#sk5' @ ( '#sk5' @ X0 ) ) )
= ( '#sk1' @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl328,zip_derived_cl69]) ).
thf(zip_derived_cl328_017,plain,
! [X0: g] :
( ( '#sk1' @ '#sk2' @ ( '#sk5' @ ( '#sk5' @ X0 ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl312,zip_derived_cl41]) ).
thf(zip_derived_cl359,plain,
! [X0: g] :
( ( '#sk1' @ '#sk2' @ X0 )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl346,zip_derived_cl328]) ).
thf(zip_derived_cl391,plain,
! [X2: g] :
( ( '#sk12' != '#sk12' )
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' )
| ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl359]) ).
thf(zip_derived_cl392,plain,
! [X2: g] :
( ( ( '#sk1' @ '#sk7' @ X2 )
!= '#sk2' )
| ( ( '#sk1' @ X2 @ '#sk7' )
!= '#sk2' ) ),
inference(simplify,[status(thm)],[zip_derived_cl391]) ).
thf(zip_derived_cl412,plain,
( ( '#sk2' != '#sk2' )
| ( ( '#sk1' @ ( '#sk5' @ '#sk7' ) @ '#sk7' )
!= '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl392]) ).
thf(zip_derived_cl417,plain,
( ( '#sk1' @ ( '#sk5' @ '#sk7' ) @ '#sk7' )
!= '#sk2' ),
inference(simplify,[status(thm)],[zip_derived_cl412]) ).
thf(zip_derived_cl359_018,plain,
! [X0: g] :
( ( '#sk1' @ '#sk2' @ X0 )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl346,zip_derived_cl328]) ).
thf(zip_derived_cl328_019,plain,
! [X0: g] :
( ( '#sk1' @ '#sk2' @ ( '#sk5' @ ( '#sk5' @ X0 ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl312,zip_derived_cl41]) ).
thf(zip_derived_cl393,plain,
! [X0: g] :
( ( '#sk5' @ ( '#sk5' @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl359,zip_derived_cl328]) ).
thf(zip_derived_cl163_020,plain,
! [X2: g] :
( ( '#sk1' @ X2 @ ( '#sk5' @ X2 ) )
= '#sk2' ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl160]) ).
thf(zip_derived_cl425,plain,
! [X0: g] :
( ( '#sk1' @ ( '#sk5' @ X0 ) @ X0 )
= '#sk2' ),
inference('sup+',[status(thm)],[zip_derived_cl393,zip_derived_cl163]) ).
thf(zip_derived_cl432,plain,
'#sk2' != '#sk2',
inference(demod,[status(thm)],[zip_derived_cl417,zip_derived_cl425]) ).
thf(zip_derived_cl433,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG271^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qitI1eB7SJ true
% 0.17/0.34 % Computer : n026.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon Aug 28 03:30:34 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in HO mode
% 0.21/0.62 % Total configuration time : 828
% 0.21/0.62 % Estimated wc time : 1656
% 0.21/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.87 % Solved by lams/20_acsne_simpl.sh.
% 0.21/0.87 % done 62 iterations in 0.067s
% 0.21/0.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.87 % SZS output start Refutation
% See solution above
% 0.21/0.87
% 0.21/0.87
% 0.21/0.87 % Terminating...
% 2.29/0.97 % Runner terminated.
% 2.29/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------