TSTP Solution File: LCL863^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL863^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZSgJJPzYld true
% Computer : n011.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 1.51s 0.93s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 37
% Syntax : Number of formulae : 179 ( 41 unt; 18 typ; 0 def)
% Number of atoms : 867 ( 17 equ; 0 cnn)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 2241 ( 191 ~; 210 |; 136 &;1318 @)
% ( 5 <=>; 102 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 56 ( 56 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 18 usr; 14 con; 0-2 aty)
% ( 247 !!; 32 ??; 0 @@+; 0 @@-)
% Number of variables : 458 ( 294 ^; 159 !; 5 ?; 458 :)
% Comments :
%------------------------------------------------------------------------------
thf(meuclidean_type,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf('#sk9_type',type,
'#sk9': $i ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk12_type',type,
'#sk12': $i ).
thf('#sk11_type',type,
'#sk11': $i ).
thf('#sk10_type',type,
'#sk10': $i ).
thf('#sk8_type',type,
'#sk8': $i ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf('#sk7_type',type,
'#sk7': $i ).
thf('#sk13_type',type,
'#sk13': $i > $i ).
thf(mtransitive_type,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(mserial_type,type,
mserial: ( $i > $i > $o ) > $o ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf('#form5_type',type,
'#form5': $o ).
thf('#sk6_type',type,
'#sk6': $i ).
thf('#sk4_type',type,
'#sk4': $i ).
thf('#sk3_type',type,
'#sk3': $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 ) ) ) ).
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 ) )
<=> ( ! [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 ) )
<=> ( ! [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] :
( ( 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] :
( ( '#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] :
( ( '#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] :
( ( '#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_cl5,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] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ '#sk2' @ Y1 )
& ( '#sk1' @ '#sk2' @ Y0 ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) )
| ~ ( ( !!
@ ^ [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 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
& ( '#sk1' @ '#sk2' @ '#sk3' ) )
=> ( '#sk1' @ '#sk3' @ Y0 ) ) )
| ~ ( !!
@ ^ [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] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
( ~ ( ( ( '#sk1' @ '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk2' @ '#sk3' ) )
=> ( '#sk1' @ '#sk3' @ '#sk4' ) )
| ~ ( ( !!
@ ^ [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 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl10,plain,
( ~ ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [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] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
( '#form5'
| ~ ( ( !!
@ ^ [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 )
=> ( '#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 ) ) )
| '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk7' @ Y0 )
=> ( '#sk1' @ Y0 @ '#sk7' ) ) )
| '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl22,plain,
( ~ ( ( '#sk1' @ '#sk7' @ '#sk8' )
=> ( '#sk1' @ '#sk8' @ '#sk7' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk7' )
| '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl26,plain,
( ~ ( ??
@ ^ [Y0: $i] : ( '#sk1' @ '#sk9' @ Y0 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| '#form5'
| ~ ( '#sk1' @ '#sk8' @ '#sk7' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl28,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk9' @ X2 )
| ~ ( '#sk1' @ '#sk8' @ '#sk7' )
| '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl30,plain,
! [X2: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ '#sk10' @ Y0 ) )
=> ( '#sk1' @ '#sk10' @ Y1 ) ) ) )
| '#form5'
| ~ ( '#sk1' @ '#sk8' @ '#sk7' )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl32,plain,
! [X2: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk11' @ Y0 )
& ( '#sk1' @ '#sk10' @ '#sk11' ) )
=> ( '#sk1' @ '#sk10' @ Y0 ) ) )
| ~ ( '#sk1' @ '#sk9' @ X2 )
| ~ ( '#sk1' @ '#sk8' @ '#sk7' )
| '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl34,plain,
! [X2: $i] :
( ~ ( ( ( '#sk1' @ '#sk11' @ '#sk12' )
& ( '#sk1' @ '#sk10' @ '#sk11' ) )
=> ( '#sk1' @ '#sk10' @ '#sk12' ) )
| '#form5'
| ~ ( '#sk1' @ '#sk8' @ '#sk7' )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl38,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk10' @ '#sk12' )
| ~ ( '#sk1' @ '#sk9' @ X2 )
| ~ ( '#sk1' @ '#sk8' @ '#sk7' )
| '#form5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl9,plain,
( ( ( '#sk1' @ '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk2' @ '#sk3' ) )
| ~ ( !!
@ ^ [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] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
( ( '#sk1' @ '#sk2' @ '#sk3' )
| ~ ( ( !!
@ ^ [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 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13_001,plain,
( '#form5'
| ~ ( ( !!
@ ^ [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_cl17,plain,
( ~ '#form5'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ( '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(renaming,[status(thm)],[zip_derived_cl12,zip_derived_cl13]) ).
thf(zip_derived_cl21,plain,
( ~ ( '#sk1' @ '#sk6' @ '#sk6' )
| ( '#sk1' @ '#sk2' @ '#sk3' )
| ~ '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl2_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] :
( ??
@ ^ [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] :
( ( '#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_cl43,plain,
( ~ '#form5'
| ( ( !!
@ ^ [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_cl46,plain,
( ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| ~ '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl52,plain,
! [X2: $i] :
( ( ??
@ ^ [Y0: $i] : ( '#sk1' @ X2 @ Y0 ) )
| ~ '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl57,plain,
! [X2: $i] :
( ( '#sk1' @ X2 @ ( '#sk13' @ X2 ) )
| ~ '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl57_003,plain,
! [X2: $i] :
( ( '#sk1' @ X2 @ ( '#sk13' @ X2 ) )
| ~ '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl44,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl50,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ Y0 @ X2 ) ) )
| ~ '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl55,plain,
! [X2: $i,X4: $i] :
( ( ( '#sk1' @ X2 @ X4 )
=> ( '#sk1' @ X4 @ X2 ) )
| ~ '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl59,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 )
| ~ '#form5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl72,plain,
! [X0: $i] :
( ~ '#form5'
| ~ '#form5'
| ( '#sk1' @ ( '#sk13' @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl59]) ).
thf(zip_derived_cl78,plain,
! [X0: $i] :
( ( '#sk1' @ ( '#sk13' @ X0 ) @ X0 )
| ~ '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl45,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl51,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ X2 @ Y1 ) ) ) )
| ~ '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl56,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ X4 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ Y0 ) ) )
| ~ '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl60,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ X6 ) )
| ~ '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl62,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X2 @ X6 )
| ~ '#form5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl64,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ~ '#form5'
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl114,plain,
! [X0: $i,X1: $i] :
( ~ '#form5'
| ( '#sk1' @ X1 @ X0 )
| ~ '#form5'
| ~ ( '#sk1' @ X1 @ ( '#sk13' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl64]) ).
thf(zip_derived_cl124,plain,
! [X0: $i,X1: $i] :
( ~ ( '#sk1' @ X1 @ ( '#sk13' @ X0 ) )
| ( '#sk1' @ X1 @ X0 )
| ~ '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl132,plain,
! [X0: $i] :
( ~ '#form5'
| ~ '#form5'
| ( '#sk1' @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl124]) ).
thf(zip_derived_cl141,plain,
! [X0: $i] :
( ( '#sk1' @ X0 @ X0 )
| ~ '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl3_004,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] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl43_005,plain,
( ~ '#form5'
| ( ( !!
@ ^ [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_cl13_006,plain,
( '#form5'
| ~ ( ( !!
@ ^ [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_cl47,plain,
( '#form5'
| ( ( !!
@ ^ [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_cl3,zip_derived_cl43,zip_derived_cl13]) ).
thf(zip_derived_cl49,plain,
( ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl54,plain,
! [X2: $i] :
( ( '#sk1' @ X2 @ X2 )
| '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl148,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl141,zip_derived_cl54]) ).
thf(zip_derived_cl151,plain,
( ( '#sk1' @ '#sk2' @ '#sk3' )
| ~ '#form5' ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl148]) ).
thf(zip_derived_cl54_007,plain,
! [X2: $i] :
( ( '#sk1' @ X2 @ X2 )
| '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl48,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
| '#form5' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl53,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ X2 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) )
| '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl58,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ X2 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X4 @ Y0 ) ) )
| '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl61,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( ( '#sk1' @ X2 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X4 @ X6 ) )
| '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl63,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( '#sk1' @ X2 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X4 @ X6 )
| '#form5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl65,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| '#form5'
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i] :
( '#form5'
| ( '#sk1' @ X1 @ X0 )
| '#form5'
| ~ ( '#sk1' @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl65]) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i] :
( ~ ( '#sk1' @ X0 @ X1 )
| ( '#sk1' @ X1 @ X0 )
| '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl59_008,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 )
| ~ '#form5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i] :
( ( '#sk1' @ X1 @ X0 )
| ~ ( '#sk1' @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl59]) ).
thf(zip_derived_cl179,plain,
( ~ '#form5'
| ( '#sk1' @ '#sk3' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl98]) ).
thf(zip_derived_cl11,plain,
( ( '#sk1' @ '#sk2' @ '#sk4' )
| ~ ( ( !!
@ ^ [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 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13_009,plain,
( '#form5'
| ~ ( ( !!
@ ^ [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_cl16,plain,
( ~ '#form5'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ( '#sk1' @ '#sk2' @ '#sk4' ) ),
inference(renaming,[status(thm)],[zip_derived_cl11,zip_derived_cl13]) ).
thf(zip_derived_cl20,plain,
( ~ ( '#sk1' @ '#sk6' @ '#sk6' )
| ( '#sk1' @ '#sk2' @ '#sk4' )
| ~ '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl148_010,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl141,zip_derived_cl54]) ).
thf(zip_derived_cl150,plain,
( ( '#sk1' @ '#sk2' @ '#sk4' )
| ~ '#form5' ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl148]) ).
thf(zip_derived_cl64_011,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ~ '#form5'
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl173,plain,
! [X0: $i] :
( ~ '#form5'
| ( '#sk1' @ X0 @ '#sk4' )
| ~ '#form5'
| ~ ( '#sk1' @ X0 @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl64]) ).
thf(zip_derived_cl177,plain,
! [X0: $i] :
( ~ ( '#sk1' @ X0 @ '#sk2' )
| ( '#sk1' @ X0 @ '#sk4' )
| ~ '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl173]) ).
thf(zip_derived_cl222,plain,
( ~ '#form5'
| ~ '#form5'
| ( '#sk1' @ '#sk3' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl177]) ).
thf(zip_derived_cl230,plain,
( ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl10_012,plain,
( ~ ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [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] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl13_013,plain,
( '#form5'
| ~ ( ( !!
@ ^ [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,
( ~ '#form5'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ ( '#sk1' @ '#sk3' @ '#sk4' ) ),
inference(renaming,[status(thm)],[zip_derived_cl10,zip_derived_cl13]) ).
thf(zip_derived_cl18,plain,
( ~ ( '#sk1' @ '#sk6' @ '#sk6' )
| ~ ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl148_014,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl141,zip_derived_cl54]) ).
thf(zip_derived_cl149,plain,
( ~ ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ '#form5' ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl148]) ).
thf(zip_derived_cl235,plain,
~ '#form5',
inference(clc,[status(thm)],[zip_derived_cl230,zip_derived_cl149]) ).
thf(zip_derived_cl237,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk10' @ '#sk12' )
| ~ ( '#sk1' @ '#sk9' @ X2 )
| ~ ( '#sk1' @ '#sk8' @ '#sk7' ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl235]) ).
thf(zip_derived_cl148_015,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl141,zip_derived_cl54]) ).
thf(zip_derived_cl148_016,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl141,zip_derived_cl54]) ).
thf(zip_derived_cl23,plain,
( ( '#sk1' @ '#sk7' @ '#sk8' )
| '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl25,plain,
( ~ ( ??
@ ^ [Y0: $i] : ( '#sk1' @ '#sk9' @ Y0 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| '#form5'
| ( '#sk1' @ '#sk7' @ '#sk8' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl27,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk9' @ X2 )
| ( '#sk1' @ '#sk7' @ '#sk8' )
| '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl29,plain,
! [X2: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ '#sk10' @ Y0 ) )
=> ( '#sk1' @ '#sk10' @ Y1 ) ) ) )
| '#form5'
| ( '#sk1' @ '#sk7' @ '#sk8' )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl31,plain,
! [X2: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk11' @ Y0 )
& ( '#sk1' @ '#sk10' @ '#sk11' ) )
=> ( '#sk1' @ '#sk10' @ Y0 ) ) )
| ~ ( '#sk1' @ '#sk9' @ X2 )
| ( '#sk1' @ '#sk7' @ '#sk8' )
| '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl33,plain,
! [X2: $i] :
( ~ ( ( ( '#sk1' @ '#sk11' @ '#sk12' )
& ( '#sk1' @ '#sk10' @ '#sk11' ) )
=> ( '#sk1' @ '#sk10' @ '#sk12' ) )
| '#form5'
| ( '#sk1' @ '#sk7' @ '#sk8' )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl35,plain,
! [X2: $i] :
( ( ( '#sk1' @ '#sk11' @ '#sk12' )
& ( '#sk1' @ '#sk10' @ '#sk11' ) )
| ~ ( '#sk1' @ '#sk9' @ X2 )
| ( '#sk1' @ '#sk7' @ '#sk8' )
| '#form5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl40,plain,
! [X2: $i] :
( ( '#sk1' @ '#sk10' @ '#sk11' )
| '#form5'
| ( '#sk1' @ '#sk7' @ '#sk8' )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl235_017,plain,
~ '#form5',
inference(clc,[status(thm)],[zip_derived_cl230,zip_derived_cl149]) ).
thf(zip_derived_cl238,plain,
! [X2: $i] :
( ( '#sk1' @ '#sk10' @ '#sk11' )
| ( '#sk1' @ '#sk7' @ '#sk8' )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl235]) ).
thf(zip_derived_cl306,plain,
( ( '#sk1' @ '#sk7' @ '#sk8' )
| ( '#sk1' @ '#sk10' @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl238]) ).
thf(zip_derived_cl98_018,plain,
! [X0: $i,X1: $i] :
( ( '#sk1' @ X1 @ X0 )
| ~ ( '#sk1' @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl59]) ).
thf(zip_derived_cl311,plain,
( ( '#sk1' @ '#sk10' @ '#sk11' )
| ( '#sk1' @ '#sk8' @ '#sk7' ) ),
inference('sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl98]) ).
thf(zip_derived_cl37,plain,
! [X2: $i] :
( ( ( '#sk1' @ '#sk11' @ '#sk12' )
& ( '#sk1' @ '#sk10' @ '#sk11' ) )
| ~ ( '#sk1' @ '#sk9' @ X2 )
| ~ ( '#sk1' @ '#sk8' @ '#sk7' )
| '#form5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl42,plain,
! [X2: $i] :
( ( '#sk1' @ '#sk10' @ '#sk11' )
| '#form5'
| ~ ( '#sk1' @ '#sk8' @ '#sk7' )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl235_019,plain,
~ '#form5',
inference(clc,[status(thm)],[zip_derived_cl230,zip_derived_cl149]) ).
thf(zip_derived_cl240,plain,
! [X2: $i] :
( ( '#sk1' @ '#sk10' @ '#sk11' )
| ~ ( '#sk1' @ '#sk8' @ '#sk7' )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl235]) ).
thf(zip_derived_cl333,plain,
! [X0: $i] :
( ( '#sk1' @ '#sk10' @ '#sk11' )
| ~ ( '#sk1' @ '#sk9' @ X0 )
| ( '#sk1' @ '#sk10' @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl240]) ).
thf(zip_derived_cl345,plain,
! [X0: $i] :
( ~ ( '#sk1' @ '#sk9' @ X0 )
| ( '#sk1' @ '#sk10' @ '#sk11' ) ),
inference(simplify,[status(thm)],[zip_derived_cl333]) ).
thf(zip_derived_cl347,plain,
'#sk1' @ '#sk10' @ '#sk11',
inference('sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl345]) ).
thf(zip_derived_cl98_020,plain,
! [X0: $i,X1: $i] :
( ( '#sk1' @ X1 @ X0 )
| ~ ( '#sk1' @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl59]) ).
thf(zip_derived_cl350,plain,
'#sk1' @ '#sk11' @ '#sk10',
inference('sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl98]) ).
thf(zip_derived_cl148_021,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl141,zip_derived_cl54]) ).
thf(zip_derived_cl41,plain,
! [X2: $i] :
( ( '#sk1' @ '#sk11' @ '#sk12' )
| '#form5'
| ~ ( '#sk1' @ '#sk8' @ '#sk7' )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl235_022,plain,
~ '#form5',
inference(clc,[status(thm)],[zip_derived_cl230,zip_derived_cl149]) ).
thf(zip_derived_cl239,plain,
! [X2: $i] :
( ( '#sk1' @ '#sk11' @ '#sk12' )
| ~ ( '#sk1' @ '#sk8' @ '#sk7' )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl235]) ).
thf(zip_derived_cl54_023,plain,
! [X2: $i] :
( ( '#sk1' @ X2 @ X2 )
| '#form5' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl39,plain,
! [X2: $i] :
( ( '#sk1' @ '#sk11' @ '#sk12' )
| '#form5'
| ( '#sk1' @ '#sk7' @ '#sk8' )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl110,plain,
( '#form5'
| ( '#sk1' @ '#sk7' @ '#sk8' )
| '#form5'
| ( '#sk1' @ '#sk11' @ '#sk12' ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl39]) ).
thf(zip_derived_cl112,plain,
( ( '#sk1' @ '#sk11' @ '#sk12' )
| ( '#sk1' @ '#sk7' @ '#sk8' )
| '#form5' ),
inference(simplify,[status(thm)],[zip_derived_cl110]) ).
thf(zip_derived_cl235_024,plain,
~ '#form5',
inference(clc,[status(thm)],[zip_derived_cl230,zip_derived_cl149]) ).
thf(zip_derived_cl246,plain,
( ( '#sk1' @ '#sk11' @ '#sk12' )
| ( '#sk1' @ '#sk7' @ '#sk8' ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl235]) ).
thf(zip_derived_cl98_025,plain,
! [X0: $i,X1: $i] :
( ( '#sk1' @ X1 @ X0 )
| ~ ( '#sk1' @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl59]) ).
thf(zip_derived_cl247,plain,
( ( '#sk1' @ '#sk11' @ '#sk12' )
| ( '#sk1' @ '#sk8' @ '#sk7' ) ),
inference('sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl98]) ).
thf(zip_derived_cl285,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk9' @ X2 )
| ( '#sk1' @ '#sk11' @ '#sk12' ) ),
inference(clc,[status(thm)],[zip_derived_cl239,zip_derived_cl247]) ).
thf(zip_derived_cl286,plain,
'#sk1' @ '#sk11' @ '#sk12',
inference('sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl285]) ).
thf(zip_derived_cl65_026,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| '#form5'
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl235_027,plain,
~ '#form5',
inference(clc,[status(thm)],[zip_derived_cl230,zip_derived_cl149]) ).
thf(zip_derived_cl241,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X6 ) ),
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl235]) ).
thf(zip_derived_cl289,plain,
! [X0: $i] :
( ( '#sk1' @ X0 @ '#sk12' )
| ~ ( '#sk1' @ '#sk11' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl241]) ).
thf(zip_derived_cl358,plain,
'#sk1' @ '#sk10' @ '#sk12',
inference('sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl289]) ).
thf(zip_derived_cl365,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk9' @ X2 )
| ~ ( '#sk1' @ '#sk8' @ '#sk7' ) ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl358]) ).
thf(zip_derived_cl148_028,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl141,zip_derived_cl54]) ).
thf(zip_derived_cl36,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk10' @ '#sk12' )
| ~ ( '#sk1' @ '#sk9' @ X2 )
| ( '#sk1' @ '#sk7' @ '#sk8' )
| '#form5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl235_029,plain,
~ '#form5',
inference(clc,[status(thm)],[zip_derived_cl230,zip_derived_cl149]) ).
thf(zip_derived_cl236,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk10' @ '#sk12' )
| ~ ( '#sk1' @ '#sk9' @ X2 )
| ( '#sk1' @ '#sk7' @ '#sk8' ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl235]) ).
thf(zip_derived_cl358_030,plain,
'#sk1' @ '#sk10' @ '#sk12',
inference('sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl289]) ).
thf(zip_derived_cl364,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk9' @ X2 )
| ( '#sk1' @ '#sk7' @ '#sk8' ) ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl358]) ).
thf(zip_derived_cl382,plain,
'#sk1' @ '#sk7' @ '#sk8',
inference('sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl364]) ).
thf(zip_derived_cl98_031,plain,
! [X0: $i,X1: $i] :
( ( '#sk1' @ X1 @ X0 )
| ~ ( '#sk1' @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl59]) ).
thf(zip_derived_cl384,plain,
'#sk1' @ '#sk8' @ '#sk7',
inference('sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl98]) ).
thf(zip_derived_cl388,plain,
! [X2: $i] :
~ ( '#sk1' @ '#sk9' @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl365,zip_derived_cl384]) ).
thf(zip_derived_cl148_032,plain,
! [X0: $i] : ( '#sk1' @ X0 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl141,zip_derived_cl54]) ).
thf(zip_derived_cl393,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl388,zip_derived_cl148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL863^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZSgJJPzYld true
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 05:24:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.15/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.15/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.51/0.93 % Solved by lams/30_sp5.sh.
% 1.51/0.93 % done 132 iterations in 0.092s
% 1.51/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.51/0.93 % SZS output start Refutation
% See solution above
% 1.51/0.93
% 1.51/0.93
% 1.51/0.93 % Terminating...
% 1.51/0.97 % Runner terminated.
% 1.74/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------