TSTP Solution File: LCL862^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL862^1 : 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.s4UblWMTpU true
% Computer : n025.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 09:02:26 EDT 2023
% Result : Theorem 1.64s 0.83s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 30
% Syntax : Number of formulae : 145 ( 36 unt; 15 typ; 0 def)
% Number of atoms : 664 ( 14 equ; 0 cnn)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 1722 ( 135 ~; 144 |; 117 &;1024 @)
% ( 5 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 46 ( 46 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 12 con; 0-2 aty)
% ( 207 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 325 ( 219 ^; 106 !; 0 ?; 325 :)
% Comments :
%------------------------------------------------------------------------------
thf('#form2_type',type,
'#form2': $o ).
thf(meuclidean_type,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf('#sk5_type',type,
'#sk5': $i ).
thf('#sk9_type',type,
'#sk9': $i ).
thf('#sk4_type',type,
'#sk4': $i ).
thf('#sk8_type',type,
'#sk8': $i ).
thf(mtransitive_type,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf('#sk10_type',type,
'#sk10': $i ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf('#sk6_type',type,
'#sk6': $i ).
thf('#sk11_type',type,
'#sk11': $i ).
thf('#sk7_type',type,
'#sk7': $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(msymmetric,axiom,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ) ).
thf('4',plain,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[msymmetric]) ).
thf('5',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('6',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('7',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 ) )
<=> ( ( mreflexive @ R )
& ( mtransitive @ R )
& ( msymmetric @ 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 ) )
<=> ( ! [X22: $i,X24: $i] :
( ( X4 @ X22 @ X24 )
=> ( X4 @ X24 @ X22 ) )
& ! [X16: $i,X18: $i,X20: $i] :
( ( ( X4 @ X18 @ X20 )
& ( X4 @ X16 @ X18 ) )
=> ( X4 @ X16 @ X20 ) )
& ! [X14: $i] : ( X4 @ X14 @ X14 ) ) ) ).
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 ) )
<=> ( ! [X22: $i,X24: $i] :
( ( X4 @ X22 @ X24 )
=> ( X4 @ X24 @ X22 ) )
& ! [X16: $i,X18: $i,X20: $i] :
( ( ( X4 @ X18 @ X20 )
& ( X4 @ X16 @ X18 ) )
=> ( X4 @ X16 @ X20 ) )
& ! [X14: $i] : ( X4 @ X14 @ X14 ) ) ),
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] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ) ),
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] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
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] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
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] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl61,plain,
( '#form2'
| ~ ( ( !!
@ ^ [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] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl62,plain,
( ~ ( !!
@ ^ [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] : ( '#sk1' @ Y0 @ Y0 ) )
| '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl65,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk3' @ Y0 )
=> ( '#sk1' @ Y0 @ '#sk3' ) ) )
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl67,plain,
( ~ ( ( '#sk1' @ '#sk3' @ '#sk5' )
=> ( '#sk1' @ '#sk5' @ '#sk3' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl70,plain,
( ~ ( '#sk1' @ '#sk5' @ '#sk3' )
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl73,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk8' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| '#form2'
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl70]) ).
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] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
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] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ 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] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl12,plain,
( ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ 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 ) ) ) ) )
& $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
! [X2: $i] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl78,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| '#form2'
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl14]) ).
thf(zip_derived_cl79,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ '#sk9' @ Y0 ) )
=> ( '#sk1' @ '#sk9' @ Y1 ) ) ) )
| ~ ( '#sk1' @ '#sk5' @ '#sk3' )
| '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl84,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk10' @ Y0 )
& ( '#sk1' @ '#sk9' @ '#sk10' ) )
=> ( '#sk1' @ '#sk9' @ Y0 ) ) )
| '#form2'
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl89,plain,
( ~ ( ( ( '#sk1' @ '#sk10' @ '#sk11' )
& ( '#sk1' @ '#sk9' @ '#sk10' ) )
=> ( '#sk1' @ '#sk9' @ '#sk11' ) )
| ~ ( '#sk1' @ '#sk5' @ '#sk3' )
| '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl95,plain,
( ~ ( '#sk1' @ '#sk9' @ '#sk11' )
| '#form2'
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl4_002,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] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl61_003,plain,
( '#form2'
| ~ ( ( !!
@ ^ [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] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl5,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] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( ~ '#form2'
| ( ( !!
@ ^ [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] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl63,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_cl61,zip_derived_cl7]) ).
thf(zip_derived_cl64,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_cl63]) ).
thf(zip_derived_cl66,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_cl64]) ).
thf(zip_derived_cl68,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk4' @ Y0 )
& ( '#sk1' @ '#sk4' @ '#sk6' ) )
=> ( '#sk1' @ '#sk6' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl71,plain,
( ~ ( ( ( '#sk1' @ '#sk4' @ '#sk7' )
& ( '#sk1' @ '#sk4' @ '#sk6' ) )
=> ( '#sk1' @ '#sk6' @ '#sk7' ) )
| ~ '#form2'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl74,plain,
( ( ( '#sk1' @ '#sk4' @ '#sk7' )
& ( '#sk1' @ '#sk4' @ '#sk6' ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl81,plain,
( ( '#sk1' @ '#sk4' @ '#sk6' )
| ~ '#form2'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl86,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk8' )
| ~ '#form2'
| ( '#sk1' @ '#sk4' @ '#sk6' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl14_004,plain,
! [X2: $i] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl91,plain,
( ~ '#form2'
| ( '#sk1' @ '#sk4' @ '#sk6' ) ),
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl14]) ).
thf(zip_derived_cl14_005,plain,
! [X2: $i] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl5_006,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] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7_007,plain,
( ~ '#form2'
| ( ( !!
@ ^ [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] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl11,plain,
( '#form2'
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ X2 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) )
| '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ X2 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X4 @ Y0 ) ) )
| '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( ( '#sk1' @ X2 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X4 @ X6 ) )
| '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( '#sk1' @ X2 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X4 @ X6 )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| '#form2'
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ( '#sk1' @ X1 @ X0 )
| '#form2'
| ~ ( '#sk1' @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl27]) ).
thf(zip_derived_cl7_008,plain,
( ~ '#form2'
| ( ( !!
@ ^ [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] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl8,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl16,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ Y0 @ X2 ) ) )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i] :
( ( ( '#sk1' @ X2 @ X4 )
=> ( '#sk1' @ X4 @ X2 ) )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 )
| ~ '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i] :
( ~ ( '#sk1' @ X0 @ X1 )
| ( '#sk1' @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl23]) ).
thf(zip_derived_cl108,plain,
( ~ '#form2'
| ( '#sk1' @ '#sk6' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl51]) ).
thf(zip_derived_cl80,plain,
( ( '#sk1' @ '#sk4' @ '#sk7' )
| ~ '#form2'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl85,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk8' )
| ~ '#form2'
| ( '#sk1' @ '#sk4' @ '#sk7' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl14_009,plain,
! [X2: $i] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl90,plain,
( ~ '#form2'
| ( '#sk1' @ '#sk4' @ '#sk7' ) ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl14]) ).
thf(zip_derived_cl9,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ X2 @ Y1 ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl21,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ X4 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ Y0 ) ) )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ X6 ) )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X2 @ X6 )
| ~ '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ~ '#form2'
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( ~ '#form2'
| ( '#sk1' @ X0 @ '#sk7' )
| ~ '#form2'
| ~ ( '#sk1' @ X0 @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl28]) ).
thf(zip_derived_cl106,plain,
! [X0: $i] :
( ~ ( '#sk1' @ X0 @ '#sk4' )
| ( '#sk1' @ X0 @ '#sk7' )
| ~ '#form2' ),
inference(simplify,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl133,plain,
( ~ '#form2'
| ~ '#form2'
| ( '#sk1' @ '#sk6' @ '#sk7' ) ),
inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl106]) ).
thf(zip_derived_cl139,plain,
( ( '#sk1' @ '#sk6' @ '#sk7' )
| ~ '#form2' ),
inference(simplify,[status(thm)],[zip_derived_cl133]) ).
thf(zip_derived_cl75,plain,
( ~ ( '#sk1' @ '#sk6' @ '#sk7' )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl82,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk8' )
| ~ '#form2'
| ~ ( '#sk1' @ '#sk6' @ '#sk7' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl14_010,plain,
! [X2: $i] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl87,plain,
( ~ '#form2'
| ~ ( '#sk1' @ '#sk6' @ '#sk7' ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl14]) ).
thf(zip_derived_cl159,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl87]) ).
thf(zip_derived_cl162,plain,
( ~ ( '#sk1' @ '#sk9' @ '#sk11' )
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl159]) ).
thf(zip_derived_cl69,plain,
( ( '#sk1' @ '#sk3' @ '#sk5' )
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl72,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk8' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| '#form2'
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl14_011,plain,
! [X2: $i] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl76,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| '#form2'
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl14]) ).
thf(zip_derived_cl77,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ '#sk9' @ Y0 ) )
=> ( '#sk1' @ '#sk9' @ Y1 ) ) ) )
| ( '#sk1' @ '#sk3' @ '#sk5' )
| '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl83,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk10' @ Y0 )
& ( '#sk1' @ '#sk9' @ '#sk10' ) )
=> ( '#sk1' @ '#sk9' @ Y0 ) ) )
| '#form2'
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl88,plain,
( ~ ( ( ( '#sk1' @ '#sk10' @ '#sk11' )
& ( '#sk1' @ '#sk9' @ '#sk10' ) )
=> ( '#sk1' @ '#sk9' @ '#sk11' ) )
| ( '#sk1' @ '#sk3' @ '#sk5' )
| '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl92,plain,
( ( ( '#sk1' @ '#sk10' @ '#sk11' )
& ( '#sk1' @ '#sk9' @ '#sk10' ) )
| '#form2'
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl97,plain,
( ( '#sk1' @ '#sk9' @ '#sk10' )
| ( '#sk1' @ '#sk3' @ '#sk5' )
| '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl159_012,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl87]) ).
thf(zip_derived_cl198,plain,
( ( '#sk1' @ '#sk9' @ '#sk10' )
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl159]) ).
thf(zip_derived_cl51_013,plain,
! [X0: $i,X1: $i] :
( ~ ( '#sk1' @ X0 @ X1 )
| ( '#sk1' @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl23]) ).
thf(zip_derived_cl199,plain,
( ( '#sk1' @ '#sk9' @ '#sk10' )
| ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl51]) ).
thf(zip_derived_cl94,plain,
( ( ( '#sk1' @ '#sk10' @ '#sk11' )
& ( '#sk1' @ '#sk9' @ '#sk10' ) )
| '#form2'
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl99,plain,
( ( '#sk1' @ '#sk9' @ '#sk10' )
| ~ ( '#sk1' @ '#sk5' @ '#sk3' )
| '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl159_014,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl87]) ).
thf(zip_derived_cl196,plain,
( ( '#sk1' @ '#sk9' @ '#sk10' )
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl159]) ).
thf(zip_derived_cl216,plain,
'#sk1' @ '#sk9' @ '#sk10',
inference(clc,[status(thm)],[zip_derived_cl199,zip_derived_cl196]) ).
thf(zip_derived_cl51_015,plain,
! [X0: $i,X1: $i] :
( ~ ( '#sk1' @ X0 @ X1 )
| ( '#sk1' @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl23]) ).
thf(zip_derived_cl217,plain,
'#sk1' @ '#sk10' @ '#sk9',
inference('sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl51]) ).
thf(zip_derived_cl96,plain,
( ( '#sk1' @ '#sk10' @ '#sk11' )
| ( '#sk1' @ '#sk3' @ '#sk5' )
| '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl159_016,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl87]) ).
thf(zip_derived_cl163,plain,
( ( '#sk1' @ '#sk10' @ '#sk11' )
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl159]) ).
thf(zip_derived_cl51_017,plain,
! [X0: $i,X1: $i] :
( ~ ( '#sk1' @ X0 @ X1 )
| ( '#sk1' @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl23]) ).
thf(zip_derived_cl164,plain,
( ( '#sk1' @ '#sk10' @ '#sk11' )
| ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl51]) ).
thf(zip_derived_cl98,plain,
( ( '#sk1' @ '#sk10' @ '#sk11' )
| ~ ( '#sk1' @ '#sk5' @ '#sk3' )
| '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl159_018,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl87]) ).
thf(zip_derived_cl195,plain,
( ( '#sk1' @ '#sk10' @ '#sk11' )
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl159]) ).
thf(zip_derived_cl207,plain,
'#sk1' @ '#sk10' @ '#sk11',
inference(clc,[status(thm)],[zip_derived_cl164,zip_derived_cl195]) ).
thf(zip_derived_cl27_019,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| '#form2'
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl159_020,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl87]) ).
thf(zip_derived_cl160,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X6 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl159]) ).
thf(zip_derived_cl209,plain,
! [X0: $i] :
( ( '#sk1' @ X0 @ '#sk11' )
| ~ ( '#sk1' @ '#sk10' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl160]) ).
thf(zip_derived_cl230,plain,
'#sk1' @ '#sk9' @ '#sk11',
inference('sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl209]) ).
thf(zip_derived_cl241,plain,
~ ( '#sk1' @ '#sk5' @ '#sk3' ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl230]) ).
thf(zip_derived_cl93,plain,
( ~ ( '#sk1' @ '#sk9' @ '#sk11' )
| '#form2'
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl159_021,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl87]) ).
thf(zip_derived_cl161,plain,
( ~ ( '#sk1' @ '#sk9' @ '#sk11' )
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl159]) ).
thf(zip_derived_cl230_022,plain,
'#sk1' @ '#sk9' @ '#sk11',
inference('sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl209]) ).
thf(zip_derived_cl240,plain,
'#sk1' @ '#sk3' @ '#sk5',
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl230]) ).
thf(zip_derived_cl51_023,plain,
! [X0: $i,X1: $i] :
( ~ ( '#sk1' @ X0 @ X1 )
| ( '#sk1' @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl23]) ).
thf(zip_derived_cl260,plain,
'#sk1' @ '#sk5' @ '#sk3',
inference('sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl51]) ).
thf(zip_derived_cl280,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl241,zip_derived_cl260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL862^1 : 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.s4UblWMTpU true
% 0.13/0.34 % Computer : n025.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 : Fri Aug 25 01:08:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.68 % /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/40_c_ic.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_noforms.sh running for 90s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.64/0.83 % Solved by lams/20_acsne_simpl.sh.
% 1.64/0.83 % done 114 iterations in 0.061s
% 1.64/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.64/0.83 % SZS output start Refutation
% See solution above
% 1.64/0.83
% 1.64/0.83
% 1.64/0.84 % Terminating...
% 2.55/0.95 % Runner terminated.
% 2.55/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------