TSTP Solution File: LCL864^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL864^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GWx6QVIG34 true
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:02:27 EDT 2023
% Result : Theorem 2.18s 0.93s
% Output : Refutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 45
% Syntax : Number of formulae : 173 ( 37 unt; 20 typ; 0 def)
% Number of atoms : 951 ( 17 equ; 0 cnn)
% Maximal formula atoms : 27 ( 6 avg)
% Number of connectives : 2408 ( 201 ~; 201 |; 155 &;1374 @)
% ( 5 <=>; 125 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 56 ( 56 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 20 usr; 16 con; 0-2 aty)
% ( 310 !!; 37 ??; 0 @@+; 0 @@-)
% Number of variables : 486 ( 362 ^; 119 !; 5 ?; 486 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk13_type',type,
'#sk13': $i ).
thf(meuclidean_type,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf('#form7_type',type,
'#form7': $o ).
thf('#sk8_type',type,
'#sk8': $i ).
thf('#sk14_type',type,
'#sk14': $i ).
thf('#sk9_type',type,
'#sk9': $i ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf('#form10_type',type,
'#form10': $o ).
thf('#sk5_type',type,
'#sk5': $i ).
thf('#sk11_type',type,
'#sk11': $i ).
thf('#form2_type',type,
'#form2': $o ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf('#sk12_type',type,
'#sk12': $i ).
thf(mtransitive_type,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf('#sk15_type',type,
'#sk15': $i ).
thf('#sk3_type',type,
'#sk3': $i > $i ).
thf(mserial_type,type,
mserial: ( $i > $i > $o ) > $o ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf('#sk6_type',type,
'#sk6': $i ).
thf(meuclidean,axiom,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ) ).
thf('0',plain,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[meuclidean]) ).
thf('1',plain,
( meuclidean
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X4 @ X8 ) )
=> ( V_1 @ X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(mtransitive,axiom,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ) ).
thf('2',plain,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mtransitive]) ).
thf('3',plain,
( mtransitive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(mserial,axiom,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ) ).
thf('4',plain,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
inference(simplify_rw_rule,[status(thm)],[mserial]) ).
thf('5',plain,
( mserial
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] :
? [X6: $i] : ( V_1 @ X4 @ X6 ) ) ),
define([status(thm)]) ).
thf(msymmetric,axiom,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ) ).
thf('6',plain,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[msymmetric]) ).
thf('7',plain,
( msymmetric
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_1 @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('8',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('9',plain,
( mreflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
! [R: $i > $i > $o] :
( ( ( mreflexive @ R )
& ( meuclidean @ R ) )
<=> ( ( mserial @ R )
& ( mtransitive @ R )
& ( msymmetric @ R )
& ( meuclidean @ R ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ( ! [X8: $i,X10: $i,X12: $i] :
( ( ( X4 @ X8 @ X12 )
& ( X4 @ X8 @ X10 ) )
=> ( X4 @ X10 @ X12 ) )
& ! [X6: $i] : ( X4 @ X6 @ X6 ) )
<=> ( ! [X28: $i,X30: $i,X32: $i] :
( ( ( X4 @ X28 @ X32 )
& ( X4 @ X28 @ X30 ) )
=> ( X4 @ X30 @ X32 ) )
& ! [X24: $i,X26: $i] :
( ( X4 @ X24 @ X26 )
=> ( X4 @ X26 @ X24 ) )
& ! [X18: $i,X20: $i,X22: $i] :
( ( ( X4 @ X20 @ X22 )
& ( X4 @ X18 @ X20 ) )
=> ( X4 @ X18 @ X22 ) )
& ! [X14: $i] :
? [X16: $i] : ( X4 @ X14 @ X16 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ( ! [X8: $i,X10: $i,X12: $i] :
( ( ( X4 @ X8 @ X12 )
& ( X4 @ X8 @ X10 ) )
=> ( X4 @ X10 @ X12 ) )
& ! [X6: $i] : ( X4 @ X6 @ X6 ) )
<=> ( ! [X28: $i,X30: $i,X32: $i] :
( ( ( X4 @ X28 @ X32 )
& ( X4 @ X28 @ X30 ) )
=> ( X4 @ X30 @ X32 ) )
& ! [X24: $i,X26: $i] :
( ( X4 @ X24 @ X26 )
=> ( X4 @ X26 @ X24 ) )
& ! [X18: $i,X20: $i,X22: $i] :
( ( ( X4 @ X20 @ X22 )
& ( X4 @ X18 @ X20 ) )
=> ( X4 @ X18 @ X22 ) )
& ! [X14: $i] :
? [X16: $i] : ( X4 @ X14 @ X16 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) )
<=> ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) )
<=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) )
!= ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
( ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl81,plain,
( '#form2'
| ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl82,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl85,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ '#sk4' @ Y1 )
& ( '#sk1' @ '#sk4' @ Y0 ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) )
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl87,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk4' @ Y0 )
& ( '#sk1' @ '#sk4' @ '#sk5' ) )
=> ( '#sk1' @ '#sk5' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl89,plain,
( ~ ( ( ( '#sk1' @ '#sk4' @ '#sk6' )
& ( '#sk1' @ '#sk4' @ '#sk5' ) )
=> ( '#sk1' @ '#sk5' @ '#sk6' ) )
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl91,plain,
( ( ( '#sk1' @ '#sk4' @ '#sk6' )
& ( '#sk1' @ '#sk4' @ '#sk5' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl95,plain,
( ( '#sk1' @ '#sk4' @ '#sk6' )
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl103,plain,
( '#form10'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl104,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ '#sk11' @ Y0 ) )
=> ( '#sk1' @ '#sk11' @ Y1 ) ) ) )
| '#form10' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl113,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk13' @ Y0 )
& ( '#sk1' @ '#sk11' @ '#sk13' ) )
=> ( '#sk1' @ '#sk11' @ Y0 ) ) )
| '#form10' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl121,plain,
( ~ ( ( ( '#sk1' @ '#sk13' @ '#sk15' )
& ( '#sk1' @ '#sk11' @ '#sk13' ) )
=> ( '#sk1' @ '#sk11' @ '#sk15' ) )
| '#form10' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl126,plain,
( ~ ( '#sk1' @ '#sk11' @ '#sk15' )
| '#form10' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl2_001,plain,
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) )
!= ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) )
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
( ~ '#form2'
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl14,plain,
( ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| ~ '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl21,plain,
! [X2: $i] :
( ( ??
@ ^ [Y0: $i] : ( '#sk1' @ X2 @ Y0 ) )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl26,plain,
! [X2: $i] :
( ( '#sk1' @ X2 @ ( '#sk3' @ X2 ) )
| ~ '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl12,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl19,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ Y0 @ X2 ) ) )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i] :
( ( ( '#sk1' @ X2 @ X4 )
=> ( '#sk1' @ X4 @ X2 ) )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 )
| ~ '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ~ '#form2'
| ~ '#form2'
| ( '#sk1' @ ( '#sk3' @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl29]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( '#sk1' @ ( '#sk3' @ X0 ) @ X0 )
| ~ '#form2' ),
inference(simplify,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl5,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
| ( $false
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ X2 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ X2 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( '#sk1' @ X2 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( '#sk1' @ X2 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl31,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( '#sk1' @ X0 @ X0 )
| ~ ( '#sk1' @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ~ '#form2'
| ( '#sk1' @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl47]) ).
thf(zip_derived_cl6_002,plain,
( ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10_003,plain,
( ~ '#form2'
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl15,plain,
( '#form2'
| ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( ( '#sk1' @ X2 @ X2 )
| '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl17]) ).
thf(zip_derived_cl66_004,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl17]) ).
thf(zip_derived_cl96,plain,
( ( '#sk1' @ '#sk4' @ '#sk5' )
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl103_005,plain,
( '#form10'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl106,plain,
( ~ '#form10'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| '#form2'
| ( '#sk1' @ '#sk4' @ '#sk5' ) ),
inference(renaming,[status(thm)],[zip_derived_cl96,zip_derived_cl103]) ).
thf(zip_derived_cl92,plain,
( ~ ( '#sk1' @ '#sk5' @ '#sk6' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl97,plain,
( '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl114,plain,
( ~ '#form7'
| ( '#sk1' @ '#sk4' @ '#sk5' )
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| ~ '#form10' ),
inference(renaming,[status(thm)],[zip_derived_cl106,zip_derived_cl97]) ).
thf(zip_derived_cl122,plain,
( ~ ( ??
@ ^ [Y0: $i] : ( '#sk1' @ '#sk14' @ Y0 ) )
| ~ '#form10'
| '#form2'
| ( '#sk1' @ '#sk4' @ '#sk5' )
| ~ '#form7' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl127,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk14' @ X2 )
| ~ '#form7'
| ( '#sk1' @ '#sk4' @ '#sk5' )
| '#form2'
| ~ '#form10' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl97_006,plain,
( '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl98,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk8' @ Y0 )
=> ( '#sk1' @ Y0 @ '#sk8' ) ) )
| '#form7' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl97]) ).
thf(zip_derived_cl108,plain,
( ~ ( ( '#sk1' @ '#sk8' @ '#sk12' )
=> ( '#sk1' @ '#sk12' @ '#sk8' ) )
| '#form7' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl117,plain,
( ~ ( '#sk1' @ '#sk12' @ '#sk8' )
| '#form7' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl116,plain,
( ( '#sk1' @ '#sk8' @ '#sk12' )
| '#form7' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl66_007,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl17]) ).
thf(zip_derived_cl31_008,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ( '#sk1' @ X1 @ X0 )
| ~ ( '#sk1' @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl31]) ).
thf(zip_derived_cl130,plain,
( '#form7'
| ( '#sk1' @ '#sk12' @ '#sk8' ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl67]) ).
thf(zip_derived_cl150,plain,
'#form7',
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl130]) ).
thf(zip_derived_cl4_009,plain,
( ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl81_010,plain,
( '#form2'
| ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl10_011,plain,
( ~ '#form2'
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl83,plain,
( ~ '#form2'
| ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl4,zip_derived_cl81,zip_derived_cl10]) ).
thf(zip_derived_cl84,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl86,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ '#sk4' @ Y1 )
& ( '#sk1' @ '#sk4' @ Y0 ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) )
| ~ '#form2'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl88,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk4' @ Y0 )
& ( '#sk1' @ '#sk4' @ '#sk5' ) )
=> ( '#sk1' @ '#sk5' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl90,plain,
( ~ ( ( ( '#sk1' @ '#sk4' @ '#sk6' )
& ( '#sk1' @ '#sk4' @ '#sk5' ) )
=> ( '#sk1' @ '#sk5' @ '#sk6' ) )
| ~ '#form2'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl93,plain,
( ( ( '#sk1' @ '#sk4' @ '#sk6' )
& ( '#sk1' @ '#sk4' @ '#sk5' ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl101,plain,
( ( '#sk1' @ '#sk4' @ '#sk5' )
| ~ '#form2'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl93]) ).
thf(zip_derived_cl110,plain,
( ~ ( '#sk1' @ '#sk9' @ '#sk9' )
| ~ '#form2'
| ( '#sk1' @ '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl66_012,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl17]) ).
thf(zip_derived_cl119,plain,
( ~ '#form2'
| ( '#sk1' @ '#sk4' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl66]) ).
thf(zip_derived_cl100,plain,
( ( '#sk1' @ '#sk4' @ '#sk6' )
| ~ '#form2'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl93]) ).
thf(zip_derived_cl109,plain,
( ~ ( '#sk1' @ '#sk9' @ '#sk9' )
| ~ '#form2'
| ( '#sk1' @ '#sk4' @ '#sk6' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl66_013,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl17]) ).
thf(zip_derived_cl118,plain,
( ~ '#form2'
| ( '#sk1' @ '#sk4' @ '#sk6' ) ),
inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl66]) ).
thf(zip_derived_cl31_014,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ~ '#form2'
| ( '#sk1' @ X0 @ '#sk6' )
| ~ ( '#sk1' @ '#sk4' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl31]) ).
thf(zip_derived_cl187,plain,
( ~ '#form2'
| ( '#sk1' @ '#sk5' @ '#sk6' )
| ~ '#form2' ),
inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl164]) ).
thf(zip_derived_cl195,plain,
( ( '#sk1' @ '#sk5' @ '#sk6' )
| ~ '#form2' ),
inference(simplify,[status(thm)],[zip_derived_cl187]) ).
thf(zip_derived_cl94,plain,
( ~ ( '#sk1' @ '#sk5' @ '#sk6' )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl102,plain,
( ~ ( '#sk1' @ '#sk9' @ '#sk9' )
| ~ '#form2'
| ~ ( '#sk1' @ '#sk5' @ '#sk6' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl66_015,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl17]) ).
thf(zip_derived_cl111,plain,
( ~ '#form2'
| ~ ( '#sk1' @ '#sk5' @ '#sk6' ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl66]) ).
thf(zip_derived_cl255,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl195,zip_derived_cl111]) ).
thf(zip_derived_cl300,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk14' @ X2 )
| ( '#sk1' @ '#sk4' @ '#sk5' )
| ~ '#form10' ),
inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl150,zip_derived_cl255]) ).
thf(zip_derived_cl301,plain,
( ~ '#form10'
| ( '#sk1' @ '#sk4' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl300]) ).
thf(zip_derived_cl66_016,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl17]) ).
thf(zip_derived_cl95_017,plain,
( ( '#sk1' @ '#sk4' @ '#sk6' )
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl103_018,plain,
( '#form10'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl105,plain,
( ~ '#form10'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| '#form2'
| ( '#sk1' @ '#sk4' @ '#sk6' ) ),
inference(renaming,[status(thm)],[zip_derived_cl95,zip_derived_cl103]) ).
thf(zip_derived_cl97_019,plain,
( '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl112,plain,
( ~ '#form7'
| ( '#sk1' @ '#sk4' @ '#sk6' )
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| ~ '#form10' ),
inference(renaming,[status(thm)],[zip_derived_cl105,zip_derived_cl97]) ).
thf(zip_derived_cl120,plain,
( ~ ( ??
@ ^ [Y0: $i] : ( '#sk1' @ '#sk14' @ Y0 ) )
| ~ '#form10'
| '#form2'
| ( '#sk1' @ '#sk4' @ '#sk6' )
| ~ '#form7' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl124,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk14' @ X2 )
| ~ '#form7'
| ( '#sk1' @ '#sk4' @ '#sk6' )
| '#form2'
| ~ '#form10' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl150_020,plain,
'#form7',
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl130]) ).
thf(zip_derived_cl255_021,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl195,zip_derived_cl111]) ).
thf(zip_derived_cl274,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk14' @ X2 )
| ( '#sk1' @ '#sk4' @ '#sk6' )
| ~ '#form10' ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl150,zip_derived_cl255]) ).
thf(zip_derived_cl275,plain,
( ~ '#form10'
| ( '#sk1' @ '#sk4' @ '#sk6' ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl274]) ).
thf(zip_derived_cl31_022,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl278,plain,
! [X0: $i] :
( ~ '#form10'
| ( '#sk1' @ X0 @ '#sk6' )
| ~ ( '#sk1' @ '#sk4' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl31]) ).
thf(zip_derived_cl303,plain,
( ~ '#form10'
| ( '#sk1' @ '#sk5' @ '#sk6' )
| ~ '#form10' ),
inference('sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl278]) ).
thf(zip_derived_cl309,plain,
( ( '#sk1' @ '#sk5' @ '#sk6' )
| ~ '#form10' ),
inference(simplify,[status(thm)],[zip_derived_cl303]) ).
thf(zip_derived_cl92_023,plain,
( ~ ( '#sk1' @ '#sk5' @ '#sk6' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl97_024,plain,
( '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl99,plain,
( ~ '#form7'
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( '#sk1' @ '#sk5' @ '#sk6' ) ),
inference(renaming,[status(thm)],[zip_derived_cl92,zip_derived_cl97]) ).
thf(zip_derived_cl103_025,plain,
( '#form10'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl107,plain,
( ~ '#form10'
| ~ ( '#sk1' @ '#sk5' @ '#sk6' )
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| '#form2'
| ~ '#form7' ),
inference(renaming,[status(thm)],[zip_derived_cl99,zip_derived_cl103]) ).
thf(zip_derived_cl115,plain,
( ~ ( ??
@ ^ [Y0: $i] : ( '#sk1' @ '#sk14' @ Y0 ) )
| ~ '#form7'
| '#form2'
| ~ ( '#sk1' @ '#sk5' @ '#sk6' )
| ~ '#form10' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl123,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk14' @ X2 )
| ~ '#form10'
| ~ ( '#sk1' @ '#sk5' @ '#sk6' )
| '#form2'
| ~ '#form7' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl150_026,plain,
'#form7',
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl130]) ).
thf(zip_derived_cl151,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk14' @ X2 )
| ~ '#form10'
| ~ ( '#sk1' @ '#sk5' @ '#sk6' )
| '#form2' ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl150]) ).
thf(zip_derived_cl111_027,plain,
( ~ '#form2'
| ~ ( '#sk1' @ '#sk5' @ '#sk6' ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl66]) ).
thf(zip_derived_cl152,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk5' @ '#sk6' )
| ~ '#form10'
| ~ ( '#sk1' @ '#sk14' @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl151,zip_derived_cl111]) ).
thf(zip_derived_cl315,plain,
! [X0: $i] :
( ~ '#form10'
| ~ ( '#sk1' @ '#sk14' @ X0 )
| ~ '#form10' ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl152]) ).
thf(zip_derived_cl321,plain,
! [X0: $i] :
( ~ ( '#sk1' @ '#sk14' @ X0 )
| ~ '#form10' ),
inference(simplify,[status(thm)],[zip_derived_cl315]) ).
thf(zip_derived_cl323,plain,
~ '#form10',
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl321]) ).
thf(zip_derived_cl325,plain,
~ ( '#sk1' @ '#sk11' @ '#sk15' ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl323]) ).
thf(zip_derived_cl125,plain,
( ( ( '#sk1' @ '#sk13' @ '#sk15' )
& ( '#sk1' @ '#sk11' @ '#sk13' ) )
| '#form10' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl129,plain,
( ( '#sk1' @ '#sk11' @ '#sk13' )
| '#form10' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl125]) ).
thf(zip_derived_cl67_028,plain,
! [X0: $i,X1: $i] :
( ( '#sk1' @ X1 @ X0 )
| ~ ( '#sk1' @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl31]) ).
thf(zip_derived_cl138,plain,
( '#form10'
| ( '#sk1' @ '#sk13' @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl67]) ).
thf(zip_derived_cl323_029,plain,
~ '#form10',
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl321]) ).
thf(zip_derived_cl329,plain,
'#sk1' @ '#sk13' @ '#sk11',
inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl323]) ).
thf(zip_derived_cl128,plain,
( ( '#sk1' @ '#sk13' @ '#sk15' )
| '#form10' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl125]) ).
thf(zip_derived_cl323_030,plain,
~ '#form10',
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl321]) ).
thf(zip_derived_cl326,plain,
'#sk1' @ '#sk13' @ '#sk15',
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl323]) ).
thf(zip_derived_cl31_031,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl332,plain,
! [X0: $i] :
( ( '#sk1' @ X0 @ '#sk15' )
| ~ ( '#sk1' @ '#sk13' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl31]) ).
thf(zip_derived_cl347,plain,
'#sk1' @ '#sk11' @ '#sk15',
inference('sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl332]) ).
thf(zip_derived_cl368,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL864^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GWx6QVIG34 true
% 0.13/0.34 % Computer : n014.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 : Thu Aug 24 18:31:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.20/0.65 % Total configuration time : 828
% 0.20/0.65 % Estimated wc time : 1656
% 0.20/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.48/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.48/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 2.18/0.93 % Solved by lams/20_acsne_simpl.sh.
% 2.18/0.93 % done 126 iterations in 0.083s
% 2.18/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.18/0.93 % SZS output start Refutation
% See solution above
% 2.18/0.93
% 2.18/0.93
% 2.18/0.93 % Terminating...
% 2.53/1.05 % Runner terminated.
% 2.53/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------