TSTP Solution File: SEU477^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU477^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NINIvkkBkL true
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 19:13:15 EDT 2023
% Result : Theorem 13.00s 2.31s
% Output : Refutation 13.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 21
% Syntax : Number of formulae : 158 ( 29 unt; 11 typ; 0 def)
% Number of atoms : 662 ( 11 equ; 36 cnn)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 2071 ( 211 ~; 223 |; 113 &;1203 @)
% ( 0 <=>; 103 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 141 ( 141 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 11 usr; 7 con; 0-2 aty)
% ( 75 !!; 143 ??; 0 @@+; 0 @@-)
% Number of variables : 509 ( 332 ^; 158 !; 19 ?; 509 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk319_type',type,
'#sk319': $i ).
thf('#_fresh_sk1_type',type,
'#_fresh_sk1': $i > $i > $o ).
thf('#sk318_type',type,
'#sk318': $i ).
thf('#sk24_type',type,
'#sk24': ( $i > $o ) > $i ).
thf('#sk315_type',type,
'#sk315': $i > $o ).
thf(term_type,type,
term: ( $i > $i > $o ) > $o ).
thf('#sk33_type',type,
'#sk33': ( $i > $o ) > $i ).
thf('#sk317_type',type,
'#sk317': $i > $o ).
thf('#form316_type',type,
'#form316': $o ).
thf('#sk321_type',type,
'#sk321': $i > $i ).
thf('#sk320_type',type,
'#sk320': $i > $i ).
thf(terminating,axiom,
( term
= ( ^ [R: $i > $i > $o] :
! [A: $i > $o] :
( ? [X: $i] : ( A @ X )
=> ? [X: $i] :
( ! [Y: $i] :
( ( A @ Y )
=> ~ ( R @ X @ Y ) )
& ( A @ X ) ) ) ) ) ).
thf('0',plain,
( term
= ( ^ [R: $i > $i > $o] :
! [A: $i > $o] :
( ? [X: $i] : ( A @ X )
=> ? [X: $i] :
( ! [Y: $i] :
( ( A @ Y )
=> ~ ( R @ X @ Y ) )
& ( A @ X ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[terminating]) ).
thf('1',plain,
( term
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i > $o] :
( ? [X6: $i] : ( X4 @ X6 )
=> ? [X8: $i] :
( ! [X10: $i] :
( ( X4 @ X10 )
=> ~ ( V_1 @ X8 @ X10 ) )
& ( X4 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(alternative_formulation_of_terminating,conjecture,
( term
= ( ^ [R: $i > $i > $o] :
~ ? [A: $i > $o] :
( ! [X: $i] :
( ( A @ X )
=> ? [Y: $i] :
( ( R @ X @ Y )
& ( A @ Y ) ) )
& ? [X: $i] : ( A @ X ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ( ^ [V_1: $i > $i > $o] :
! [X4: $i > $o] :
( ? [X6: $i] : ( X4 @ X6 )
=> ? [X8: $i] :
( ( X4 @ X8 )
& ! [X10: $i] :
( ( X4 @ X10 )
=> ~ ( V_1 @ X8 @ X10 ) ) ) ) )
= ( ^ [V_2: $i > $i > $o] :
~ ? [X12: $i > $o] :
( ? [X18: $i] : ( X12 @ X18 )
& ! [X14: $i] :
( ( X12 @ X14 )
=> ? [X16: $i] :
( ( X12 @ X16 )
& ( V_2 @ X14 @ X16 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
( ( ^ [V_1: $i > $i > $o] :
! [X4: $i > $o] :
( ? [X6: $i] : ( X4 @ X6 )
=> ? [X8: $i] :
( ( X4 @ X8 )
& ! [X10: $i] :
( ( X4 @ X10 )
=> ~ ( V_1 @ X8 @ X10 ) ) ) ) )
!= ( ^ [V_2: $i > $i > $o] :
~ ? [X12: $i > $o] :
( ? [X18: $i] : ( X12 @ X18 )
& ! [X14: $i] :
( ( X12 @ X14 )
=> ? [X16: $i] :
( ( X12 @ X16 )
& ( V_2 @ X14 @ X16 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
( ( ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
=> ( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( (~) @ ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) ) )
!= ( ^ [Y0: $i > $i > $o] :
( (~)
@ ( ??
@ ^ [Y1: $i > $o] :
( ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
& ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
( ( ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
=> ( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( (~) @ ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) )
@ '#_fresh_sk1' )
!= ( ^ [Y0: $i > $i > $o] :
( (~)
@ ( ??
@ ^ [Y1: $i > $o] :
( ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
& ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) )
@ '#_fresh_sk1' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( (~) @ ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) )
!= ( (~)
@ ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( (~) @ ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) )
= ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( (~) @ ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) )
| ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl193,plain,
( ~ ( ( ??
@ ^ [Y0: $i] : ( '#sk315' @ Y0 ) )
=> ( ??
@ ^ [Y0: $i] :
( ( '#sk315' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk315' @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ) )
| ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl194,plain,
( ( ??
@ ^ [Y0: $i] : ( '#sk315' @ Y0 ) )
| ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl196,plain,
( ~ '#form316'
| ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl199,plain,
( ( ( ??
@ ^ [Y0: $i] : ( '#sk317' @ Y0 ) )
& ( !!
@ ^ [Y0: $i] :
( ( '#sk317' @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( '#sk317' @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) )
| ~ '#form316' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl196]) ).
thf(zip_derived_cl203,plain,
( ( ??
@ ^ [Y0: $i] : ( '#sk317' @ Y0 ) )
| ~ '#form316' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl199]) ).
thf(zip_derived_cl206,plain,
( ( '#sk317' @ '#sk319' )
| ~ '#form316' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl203]) ).
thf(zip_derived_cl194_001,plain,
( ( ??
@ ^ [Y0: $i] : ( '#sk315' @ Y0 ) )
| ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl196_002,plain,
( ~ '#form316'
| ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl200,plain,
( '#form316'
| ( ??
@ ^ [Y0: $i] : ( '#sk315' @ Y0 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl194,zip_derived_cl196]) ).
thf(zip_derived_cl202,plain,
( ( '#sk315' @ '#sk318' )
| '#form316' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl195,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk315' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk315' @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) )
| ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl196_003,plain,
( ~ '#form316'
| ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl201,plain,
( '#form316'
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk315' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk315' @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl195,zip_derived_cl196]) ).
thf(zip_derived_cl205,plain,
! [X2: $i] :
( ~ ( ( '#sk315' @ X2 )
& ( !!
@ ^ [Y0: $i] :
( ( '#sk315' @ Y0 )
=> ( (~) @ ( '#_fresh_sk1' @ X2 @ Y0 ) ) ) ) )
| '#form316' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl201]) ).
thf(zip_derived_cl208,plain,
! [X2: $i] :
( ~ ( '#sk315' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk315' @ Y0 )
=> ( (~) @ ( '#_fresh_sk1' @ X2 @ Y0 ) ) ) )
| '#form316' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl210,plain,
! [X2: $i] :
( ~ ( ( '#sk315' @ ( '#sk320' @ X2 ) )
=> ( (~) @ ( '#_fresh_sk1' @ X2 @ ( '#sk320' @ X2 ) ) ) )
| '#form316'
| ~ ( '#sk315' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl212,plain,
! [X2: $i] :
( ( '#sk315' @ ( '#sk320' @ X2 ) )
| ~ ( '#sk315' @ X2 )
| '#form316' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl266,plain,
( '#form316'
| '#form316'
| ( '#sk315' @ ( '#sk320' @ '#sk318' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl212]) ).
thf(zip_derived_cl268,plain,
( ( '#sk315' @ ( '#sk320' @ '#sk318' ) )
| '#form316' ),
inference(simplify,[status(thm)],[zip_derived_cl266]) ).
thf(zip_derived_cl212_004,plain,
! [X2: $i] :
( ( '#sk315' @ ( '#sk320' @ X2 ) )
| ~ ( '#sk315' @ X2 )
| '#form316' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl270,plain,
( '#form316'
| '#form316'
| ( '#sk315' @ ( '#sk320' @ ( '#sk320' @ '#sk318' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl212]) ).
thf(zip_derived_cl279,plain,
( ( '#sk315' @ ( '#sk320' @ ( '#sk320' @ '#sk318' ) ) )
| '#form316' ),
inference(simplify,[status(thm)],[zip_derived_cl270]) ).
thf(zip_derived_cl212_005,plain,
! [X2: $i] :
( ( '#sk315' @ ( '#sk320' @ X2 ) )
| ~ ( '#sk315' @ X2 )
| '#form316' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl288,plain,
( '#form316'
| '#form316'
| ( '#sk315' @ ( '#sk320' @ ( '#sk320' @ ( '#sk320' @ '#sk318' ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl212]) ).
thf(zip_derived_cl297,plain,
( ( '#sk315' @ ( '#sk320' @ ( '#sk320' @ ( '#sk320' @ '#sk318' ) ) ) )
| '#form316' ),
inference(simplify,[status(thm)],[zip_derived_cl288]) ).
thf(zip_derived_cl3_006,plain,
( ( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( (~) @ ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) )
= ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( (~) @ ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
! [X2: $i > $o] :
( ( ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
=> ( ??
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X2: $i > $o] :
( ~ ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
| ( ??
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( X2 @ X4 )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o] :
( ~ ( ( ??
@ ^ [Y0: $i] : ( X6 @ Y0 ) )
& ( !!
@ ^ [Y0: $i] :
( ( X6 @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( X6 @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) )
| ~ ( X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o] :
( ~ ( ??
@ ^ [Y0: $i] : ( X6 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X6 @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( X6 @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) )
| ~ ( X2 @ X4 )
| ( ??
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o,X8: $i] :
( ~ ( X6 @ X8 )
| ( ??
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) )
| ~ ( X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X6 @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( X6 @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o,X8: $i] :
( ( ( X2 @ ( '#sk24' @ X2 ) )
& ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( (~) @ ( '#_fresh_sk1' @ ( '#sk24' @ X2 ) @ Y0 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X6 @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( X6 @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) )
| ~ ( X2 @ X4 )
| ~ ( X6 @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl13,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o,X8: $i] :
( ( X2 @ ( '#sk24' @ X2 ) )
| ~ ( X6 @ X8 )
| ~ ( X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X6 @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( X6 @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl15,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o,X8: $i] :
( ~ ( ( X6 @ ( '#sk33' @ X6 ) )
=> ( ??
@ ^ [Y0: $i] :
( ( X6 @ Y0 )
& ( '#_fresh_sk1' @ ( '#sk33' @ X6 ) @ Y0 ) ) ) )
| ~ ( X2 @ X4 )
| ~ ( X6 @ X8 )
| ( X2 @ ( '#sk24' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl17,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o,X8: $i] :
( ( X6 @ ( '#sk33' @ X6 ) )
| ( X2 @ ( '#sk24' @ X2 ) )
| ~ ( X6 @ X8 )
| ~ ( X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl52,plain,
! [X0: $i > $i > $o,X1: $i] :
( ~ ( ^ [Y0: $i] :
( X0
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ Y0 )
@ X1 )
| ( ^ [Y0: $i] :
( X0
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ Y0 )
@ ( '#sk24'
@ ^ [Y0: $i] :
( X0
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ Y0 ) ) )
| ( ^ [Y0: $i] :
( X0 @ Y0
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( '#sk33'
@ ^ [Y0: $i] :
( X0 @ Y0
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl56,plain,
! [X0: $i > $i > $o,X1: $i] :
( ~ ( X0 @ X1 @ X1 )
| ( X0
@ ( '#sk24'
@ ^ [Y0: $i] : ( X0 @ Y0 @ Y0 ) )
@ ( '#sk24'
@ ^ [Y0: $i] : ( X0 @ Y0 @ Y0 ) ) )
| ( X0
@ ( '#sk33'
@ ^ [Y0: $i] : ( X0 @ Y0 @ Y0 ) )
@ ( '#sk33'
@ ^ [Y0: $i] : ( X0 @ Y0 @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl57,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( ^ [Y0: $i,Y1: $i] : ( X0 @ Y1 )
@ X1
@ X1 )
| ( ^ [Y0: $i,Y1: $i] : ( X0 @ Y1 )
@ ( '#sk24'
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] : ( X0 @ Y2 )
@ Y0
@ Y0 ) )
@ ( '#sk24'
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] : ( X0 @ Y2 )
@ Y0
@ Y0 ) ) )
| ( ^ [Y0: $i,Y1: $i] : ( X0 @ Y1 )
@ ( '#sk33'
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] : ( X0 @ Y2 )
@ Y0
@ Y0 ) )
@ ( '#sk33'
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] : ( X0 @ Y2 )
@ Y0
@ Y0 ) ) ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl58,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( X0 @ X1 )
| ( X0 @ ( '#sk24' @ X0 ) )
| ( X0 @ ( '#sk33' @ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl370,plain,
( '#form316'
| ( ^ [Y0: $i] :
( '#sk315'
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( '#sk33'
@ ^ [Y0: $i] :
( '#sk315'
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) )
| ( ^ [Y0: $i] :
( '#sk315'
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( '#sk24'
@ ^ [Y0: $i] :
( '#sk315'
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl58]) ).
thf(zip_derived_cl381,plain,
( '#form316'
| ( '#sk315' @ ( '#sk33' @ '#sk315' ) )
| ( '#sk315' @ ( '#sk24' @ '#sk315' ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl370]) ).
thf(zip_derived_cl212_007,plain,
! [X2: $i] :
( ( '#sk315' @ ( '#sk320' @ X2 ) )
| ~ ( '#sk315' @ X2 )
| '#form316' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl415,plain,
( ( '#sk315' @ ( '#sk24' @ '#sk315' ) )
| '#form316'
| '#form316'
| ( '#sk315' @ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl212]) ).
thf(zip_derived_cl439,plain,
( ( '#sk315' @ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) )
| '#form316'
| ( '#sk315' @ ( '#sk24' @ '#sk315' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl415]) ).
thf(zip_derived_cl18,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o,X8: $i] :
( ~ ( ??
@ ^ [Y0: $i] :
( ( X6 @ Y0 )
& ( '#_fresh_sk1' @ ( '#sk33' @ X6 ) @ Y0 ) ) )
| ( X2 @ ( '#sk24' @ X2 ) )
| ~ ( X6 @ X8 )
| ~ ( X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl20,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o,X8: $i,X10: $i] :
( ~ ( ( X6 @ X10 )
& ( '#_fresh_sk1' @ ( '#sk33' @ X6 ) @ X10 ) )
| ~ ( X2 @ X4 )
| ~ ( X6 @ X8 )
| ( X2 @ ( '#sk24' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl23,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o,X8: $i,X10: $i] :
( ~ ( X6 @ X10 )
| ~ ( '#_fresh_sk1' @ ( '#sk33' @ X6 ) @ X10 )
| ( X2 @ ( '#sk24' @ X2 ) )
| ~ ( X6 @ X8 )
| ~ ( X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl26,plain,
! [X0: $i > $o,X1: $i,X2: $i,X3: $i > $o] :
( ~ ( X0 @ X1 )
| ~ ( '#_fresh_sk1' @ ( '#sk33' @ X3 ) @ X2 )
| ( X0 @ ( '#sk24' @ X0 ) )
| ~ ( X3 @ X2 ) ),
inference(condensation,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl170,plain,
! [X0: $i > $i > $o,X1: $i] :
( ~ ( ^ [Y0: $i] :
( X0
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ Y0 )
@ X1 )
| ( ^ [Y0: $i] :
( X0 @ Y0
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( '#sk24'
@ ^ [Y0: $i] :
( X0 @ Y0
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) )
| ~ ( '#_fresh_sk1'
@ ( '#sk33'
@ ^ [Y0: $i] :
( X0
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ Y0 ) )
@ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl174,plain,
! [X0: $i > $i > $o,X1: $i] :
( ~ ( X0 @ X1 @ X1 )
| ( X0
@ ( '#sk24'
@ ^ [Y0: $i] : ( X0 @ Y0 @ Y0 ) )
@ ( '#sk24'
@ ^ [Y0: $i] : ( X0 @ Y0 @ Y0 ) ) )
| ~ ( '#_fresh_sk1'
@ ( '#sk33'
@ ^ [Y0: $i] : ( X0 @ Y0 @ Y0 ) )
@ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl170]) ).
thf(zip_derived_cl175,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( ^ [Y0: $i,Y1: $i] : ( X0 @ Y1 )
@ X1
@ X1 )
| ( ^ [Y0: $i,Y1: $i] : ( X0 @ Y1 )
@ ( '#sk24'
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] : ( X0 @ Y2 )
@ Y0
@ Y0 ) )
@ ( '#sk24'
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] : ( X0 @ Y2 )
@ Y0
@ Y0 ) ) )
| ~ ( '#_fresh_sk1'
@ ( '#sk33'
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] : ( X0 @ Y2 )
@ Y0
@ Y0 ) )
@ X1 ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl174]) ).
thf(zip_derived_cl176,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( X0 @ X1 )
| ( X0 @ ( '#sk24' @ X0 ) )
| ~ ( '#_fresh_sk1' @ ( '#sk33' @ X0 ) @ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl175]) ).
thf(zip_derived_cl500,plain,
( ( '#sk315' @ ( '#sk24' @ '#sk315' ) )
| '#form316'
| ~ ( '#_fresh_sk1'
@ ( '#sk33'
@ ^ [Y0: $i] :
( '#sk315'
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) )
@ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) )
| ( ^ [Y0: $i] :
( '#sk315'
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( '#sk24'
@ ^ [Y0: $i] :
( '#sk315'
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl176]) ).
thf(zip_derived_cl509,plain,
( ( '#sk315' @ ( '#sk24' @ '#sk315' ) )
| '#form316'
| ~ ( '#_fresh_sk1' @ ( '#sk33' @ '#sk315' ) @ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) )
| ( '#sk315' @ ( '#sk24' @ '#sk315' ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl500]) ).
thf(zip_derived_cl510,plain,
( ~ ( '#_fresh_sk1' @ ( '#sk33' @ '#sk315' ) @ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) )
| '#form316'
| ( '#sk315' @ ( '#sk24' @ '#sk315' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl509]) ).
thf(zip_derived_cl381_008,plain,
( '#form316'
| ( '#sk315' @ ( '#sk33' @ '#sk315' ) )
| ( '#sk315' @ ( '#sk24' @ '#sk315' ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl370]) ).
thf(zip_derived_cl213,plain,
! [X2: $i] :
( ( '#_fresh_sk1' @ X2 @ ( '#sk320' @ X2 ) )
| ~ ( '#sk315' @ X2 )
| '#form316' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl751,plain,
( ( '#sk315' @ ( '#sk24' @ '#sk315' ) )
| '#form316'
| '#form316'
| ( '#_fresh_sk1' @ ( '#sk33' @ '#sk315' ) @ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl213]) ).
thf(zip_derived_cl777,plain,
( ( '#_fresh_sk1' @ ( '#sk33' @ '#sk315' ) @ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) )
| '#form316'
| ( '#sk315' @ ( '#sk24' @ '#sk315' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl751]) ).
thf(zip_derived_cl1071,plain,
( ( '#sk315' @ ( '#sk24' @ '#sk315' ) )
| '#form316' ),
inference(clc,[status(thm)],[zip_derived_cl510,zip_derived_cl777]) ).
thf(zip_derived_cl212_009,plain,
! [X2: $i] :
( ( '#sk315' @ ( '#sk320' @ X2 ) )
| ~ ( '#sk315' @ X2 )
| '#form316' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl1073,plain,
( '#form316'
| '#form316'
| ( '#sk315' @ ( '#sk320' @ ( '#sk24' @ '#sk315' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1071,zip_derived_cl212]) ).
thf(zip_derived_cl1089,plain,
( ( '#sk315' @ ( '#sk320' @ ( '#sk24' @ '#sk315' ) ) )
| '#form316' ),
inference(simplify,[status(thm)],[zip_derived_cl1073]) ).
thf(zip_derived_cl14,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o,X8: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( (~) @ ( '#_fresh_sk1' @ ( '#sk24' @ X2 ) @ Y0 ) ) ) )
| ~ ( X6 @ X8 )
| ~ ( X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X6 @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( X6 @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl16,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o,X8: $i,X10: $i] :
( ( ( X2 @ X10 )
=> ( (~) @ ( '#_fresh_sk1' @ ( '#sk24' @ X2 ) @ X10 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X6 @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( X6 @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) )
| ~ ( X2 @ X4 )
| ~ ( X6 @ X8 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl19,plain,
! [X2: $i > $o,X4: $i,X6: $i > $o,X8: $i,X10: $i] :
( ~ ( X2 @ X10 )
| ~ ( '#_fresh_sk1' @ ( '#sk24' @ X2 ) @ X10 )
| ~ ( X6 @ X8 )
| ~ ( X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X6 @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( X6 @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl21,plain,
! [X0: $i > $o,X1: $i,X2: $i > $o,X3: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( X0 @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( X0 @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) )
| ~ ( '#_fresh_sk1' @ ( '#sk24' @ X2 ) @ X1 )
| ~ ( X0 @ X3 )
| ~ ( X2 @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl22,plain,
! [X0: $i > $o,X1: $i,X2: $i > $o,X3: $i] :
( ~ ( ( X0 @ ( '#sk33' @ X0 ) )
=> ( ??
@ ^ [Y0: $i] :
( ( X0 @ Y0 )
& ( '#_fresh_sk1' @ ( '#sk33' @ X0 ) @ Y0 ) ) ) )
| ~ ( X2 @ X1 )
| ~ ( X0 @ X3 )
| ~ ( '#_fresh_sk1' @ ( '#sk24' @ X2 ) @ X1 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl24,plain,
! [X0: $i > $o,X1: $i,X2: $i > $o,X3: $i] :
( ( X0 @ ( '#sk33' @ X0 ) )
| ~ ( '#_fresh_sk1' @ ( '#sk24' @ X2 ) @ X1 )
| ~ ( X0 @ X3 )
| ~ ( X2 @ X1 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl98,plain,
! [X0: $i > $i > $o,X1: $i] :
( ~ ( ^ [Y0: $i] :
( X0
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ Y0 )
@ X1 )
| ~ ( '#_fresh_sk1'
@ ( '#sk24'
@ ^ [Y0: $i] :
( X0
@ ( ^ [Y1: $i] : Y1
@ Y0 )
@ Y0 ) )
@ X1 )
| ( ^ [Y0: $i] :
( X0 @ Y0
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( '#sk33'
@ ^ [Y0: $i] :
( X0 @ Y0
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl102,plain,
! [X0: $i > $i > $o,X1: $i] :
( ~ ( X0 @ X1 @ X1 )
| ~ ( '#_fresh_sk1'
@ ( '#sk24'
@ ^ [Y0: $i] : ( X0 @ Y0 @ Y0 ) )
@ X1 )
| ( X0
@ ( '#sk33'
@ ^ [Y0: $i] : ( X0 @ Y0 @ Y0 ) )
@ ( '#sk33'
@ ^ [Y0: $i] : ( X0 @ Y0 @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl103,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( ^ [Y0: $i,Y1: $i] : ( X0 @ Y1 )
@ X1
@ X1 )
| ~ ( '#_fresh_sk1'
@ ( '#sk24'
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] : ( X0 @ Y2 )
@ Y0
@ Y0 ) )
@ X1 )
| ( ^ [Y0: $i,Y1: $i] : ( X0 @ Y1 )
@ ( '#sk33'
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] : ( X0 @ Y2 )
@ Y0
@ Y0 ) )
@ ( '#sk33'
@ ^ [Y0: $i] :
( ^ [Y1: $i,Y2: $i] : ( X0 @ Y2 )
@ Y0
@ Y0 ) ) ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl104,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( X0 @ X1 )
| ~ ( '#_fresh_sk1' @ ( '#sk24' @ X0 ) @ X1 )
| ( X0 @ ( '#sk33' @ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl1111,plain,
( '#form316'
| ( ^ [Y0: $i] :
( '#sk315'
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( '#sk33'
@ ^ [Y0: $i] :
( '#sk315'
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) )
| ~ ( '#_fresh_sk1'
@ ( '#sk24'
@ ^ [Y0: $i] :
( '#sk315'
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) )
@ ( '#sk320' @ ( '#sk24' @ '#sk315' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl104]) ).
thf(zip_derived_cl1125,plain,
( '#form316'
| ( '#sk315' @ ( '#sk33' @ '#sk315' ) )
| ~ ( '#_fresh_sk1' @ ( '#sk24' @ '#sk315' ) @ ( '#sk320' @ ( '#sk24' @ '#sk315' ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1111]) ).
thf(zip_derived_cl1071_010,plain,
( ( '#sk315' @ ( '#sk24' @ '#sk315' ) )
| '#form316' ),
inference(clc,[status(thm)],[zip_derived_cl510,zip_derived_cl777]) ).
thf(zip_derived_cl213_011,plain,
! [X2: $i] :
( ( '#_fresh_sk1' @ X2 @ ( '#sk320' @ X2 ) )
| ~ ( '#sk315' @ X2 )
| '#form316' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl1072,plain,
( '#form316'
| '#form316'
| ( '#_fresh_sk1' @ ( '#sk24' @ '#sk315' ) @ ( '#sk320' @ ( '#sk24' @ '#sk315' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1071,zip_derived_cl213]) ).
thf(zip_derived_cl1088,plain,
( ( '#_fresh_sk1' @ ( '#sk24' @ '#sk315' ) @ ( '#sk320' @ ( '#sk24' @ '#sk315' ) ) )
| '#form316' ),
inference(simplify,[status(thm)],[zip_derived_cl1072]) ).
thf(zip_derived_cl1365,plain,
( ( '#sk315' @ ( '#sk33' @ '#sk315' ) )
| '#form316' ),
inference(clc,[status(thm)],[zip_derived_cl1125,zip_derived_cl1088]) ).
thf(zip_derived_cl212_012,plain,
! [X2: $i] :
( ( '#sk315' @ ( '#sk320' @ X2 ) )
| ~ ( '#sk315' @ X2 )
| '#form316' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl1367,plain,
( '#form316'
| '#form316'
| ( '#sk315' @ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1365,zip_derived_cl212]) ).
thf(zip_derived_cl1385,plain,
( ( '#sk315' @ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) )
| '#form316' ),
inference(simplify,[status(thm)],[zip_derived_cl1367]) ).
thf(zip_derived_cl6_013,plain,
! [X2: $i > $o] :
( ( ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
=> ( ??
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl192,plain,
( ( ( ??
@ ^ [Y0: $i] : ( '#sk315' @ Y0 ) )
=> ( ??
@ ^ [Y0: $i] :
( ( '#sk315' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk315' @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl1820,plain,
( '#form316'
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl1821,plain,
! [X2: $i > $o] :
( ~ ( ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
& ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) )
| '#form316' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1820]) ).
thf(zip_derived_cl1826,plain,
! [X2: $i > $o] :
( ~ ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) )
| '#form316' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1821]) ).
thf(zip_derived_cl1828,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( X2 @ X4 )
| '#form316'
| ~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1826]) ).
thf(zip_derived_cl1830,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( ( X2 @ ( '#sk33' @ X2 ) )
=> ( ??
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
& ( '#_fresh_sk1' @ ( '#sk33' @ X2 ) @ Y0 ) ) ) )
| '#form316'
| ~ ( X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1828]) ).
thf(zip_derived_cl1834,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( ??
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
& ( '#_fresh_sk1' @ ( '#sk33' @ X2 ) @ Y0 ) ) )
| ~ ( X2 @ X4 )
| '#form316' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1830]) ).
thf(zip_derived_cl1837,plain,
! [X2: $i > $o,X4: $i,X6: $i] :
( ~ ( ( X2 @ X6 )
& ( '#_fresh_sk1' @ ( '#sk33' @ X2 ) @ X6 ) )
| '#form316'
| ~ ( X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1834]) ).
thf(zip_derived_cl1839,plain,
! [X2: $i > $o,X4: $i,X6: $i] :
( ~ ( X2 @ X6 )
| ~ ( '#_fresh_sk1' @ ( '#sk33' @ X2 ) @ X6 )
| ~ ( X2 @ X4 )
| '#form316' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1837]) ).
thf(zip_derived_cl1841,plain,
! [X0: $i,X1: $i > $o] :
( '#form316'
| ~ ( '#_fresh_sk1' @ ( '#sk33' @ X1 ) @ X0 )
| ~ ( X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl1839]) ).
thf(zip_derived_cl1941,plain,
( '#form316'
| ~ ( '#_fresh_sk1'
@ ( '#sk33'
@ ^ [Y0: $i] :
( '#sk315'
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) )
@ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) )
| '#form316' ),
inference('sup-',[status(thm)],[zip_derived_cl1385,zip_derived_cl1841]) ).
thf(zip_derived_cl1989,plain,
( '#form316'
| ~ ( '#_fresh_sk1' @ ( '#sk33' @ '#sk315' ) @ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) )
| '#form316' ),
inference(ho_norm,[status(thm)],[zip_derived_cl1941]) ).
thf(zip_derived_cl1990,plain,
( ~ ( '#_fresh_sk1' @ ( '#sk33' @ '#sk315' ) @ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) )
| '#form316' ),
inference(simplify,[status(thm)],[zip_derived_cl1989]) ).
thf(zip_derived_cl1365_014,plain,
( ( '#sk315' @ ( '#sk33' @ '#sk315' ) )
| '#form316' ),
inference(clc,[status(thm)],[zip_derived_cl1125,zip_derived_cl1088]) ).
thf(zip_derived_cl213_015,plain,
! [X2: $i] :
( ( '#_fresh_sk1' @ X2 @ ( '#sk320' @ X2 ) )
| ~ ( '#sk315' @ X2 )
| '#form316' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl1366,plain,
( '#form316'
| '#form316'
| ( '#_fresh_sk1' @ ( '#sk33' @ '#sk315' ) @ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1365,zip_derived_cl213]) ).
thf(zip_derived_cl1384,plain,
( ( '#_fresh_sk1' @ ( '#sk33' @ '#sk315' ) @ ( '#sk320' @ ( '#sk33' @ '#sk315' ) ) )
| '#form316' ),
inference(simplify,[status(thm)],[zip_derived_cl1366]) ).
thf(zip_derived_cl2131,plain,
'#form316',
inference(clc,[status(thm)],[zip_derived_cl1990,zip_derived_cl1384]) ).
thf(zip_derived_cl2132,plain,
'#sk317' @ '#sk319',
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl2131]) ).
thf(zip_derived_cl6_016,plain,
! [X2: $i > $o] :
( ( ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
=> ( ??
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl198,plain,
( ( ( ??
@ ^ [Y0: $i] : ( '#sk317' @ Y0 ) )
=> ( ??
@ ^ [Y0: $i] :
( ( '#sk317' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk317' @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl1820_017,plain,
( '#form316'
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl196_018,plain,
( ~ '#form316'
| ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( '#_fresh_sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2273,plain,
( ~ '#form316'
| ( ( ??
@ ^ [Y0: $i] : ( '#sk317' @ Y0 ) )
=> ( ??
@ ^ [Y0: $i] :
( ( '#sk317' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk317' @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl198,zip_derived_cl1820,zip_derived_cl196]) ).
thf(zip_derived_cl2131_019,plain,
'#form316',
inference(clc,[status(thm)],[zip_derived_cl1990,zip_derived_cl1384]) ).
thf(zip_derived_cl2274,plain,
( ( ??
@ ^ [Y0: $i] : ( '#sk317' @ Y0 ) )
=> ( ??
@ ^ [Y0: $i] :
( ( '#sk317' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk317' @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2273,zip_derived_cl2131]) ).
thf(zip_derived_cl2275,plain,
( ~ ( ??
@ ^ [Y0: $i] : ( '#sk317' @ Y0 ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk317' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk317' @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2274]) ).
thf(zip_derived_cl2276,plain,
! [X2: $i] :
( ~ ( '#sk317' @ X2 )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk317' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk317' @ Y1 )
=> ( (~) @ ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2275]) ).
thf(zip_derived_cl2277,plain,
! [X2: $i] :
( ( ( '#sk317' @ ( '#sk24' @ '#sk317' ) )
& ( !!
@ ^ [Y0: $i] :
( ( '#sk317' @ Y0 )
=> ( (~) @ ( '#_fresh_sk1' @ ( '#sk24' @ '#sk317' ) @ Y0 ) ) ) ) )
| ~ ( '#sk317' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2276]) ).
thf(zip_derived_cl2278,plain,
! [X2: $i] :
( ( '#sk317' @ ( '#sk24' @ '#sk317' ) )
| ~ ( '#sk317' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2277]) ).
thf(zip_derived_cl2283,plain,
'#sk317' @ ( '#sk24' @ '#sk317' ),
inference('sup-',[status(thm)],[zip_derived_cl2132,zip_derived_cl2278]) ).
thf(zip_derived_cl204,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk317' @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ( '#sk317' @ Y1 )
& ( '#_fresh_sk1' @ Y0 @ Y1 ) ) ) ) )
| ~ '#form316' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl199]) ).
thf(zip_derived_cl207,plain,
! [X2: $i] :
( ( ( '#sk317' @ X2 )
=> ( ??
@ ^ [Y0: $i] :
( ( '#sk317' @ Y0 )
& ( '#_fresh_sk1' @ X2 @ Y0 ) ) ) )
| ~ '#form316' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl204]) ).
thf(zip_derived_cl209,plain,
! [X2: $i] :
( ~ ( '#sk317' @ X2 )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk317' @ Y0 )
& ( '#_fresh_sk1' @ X2 @ Y0 ) ) )
| ~ '#form316' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl207]) ).
thf(zip_derived_cl211,plain,
! [X2: $i] :
( ( ( '#sk317' @ ( '#sk321' @ X2 ) )
& ( '#_fresh_sk1' @ X2 @ ( '#sk321' @ X2 ) ) )
| ~ '#form316'
| ~ ( '#sk317' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl209]) ).
thf(zip_derived_cl214,plain,
! [X2: $i] :
( ( '#sk317' @ ( '#sk321' @ X2 ) )
| ~ ( '#sk317' @ X2 )
| ~ '#form316' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl2131_020,plain,
'#form316',
inference(clc,[status(thm)],[zip_derived_cl1990,zip_derived_cl1384]) ).
thf(zip_derived_cl2133,plain,
! [X2: $i] :
( ( '#sk317' @ ( '#sk321' @ X2 ) )
| ~ ( '#sk317' @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl2131]) ).
thf(zip_derived_cl2279,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( '#sk317' @ Y0 )
=> ( (~) @ ( '#_fresh_sk1' @ ( '#sk24' @ '#sk317' ) @ Y0 ) ) ) )
| ~ ( '#sk317' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2277]) ).
thf(zip_derived_cl2280,plain,
! [X2: $i,X4: $i] :
( ( ( '#sk317' @ X4 )
=> ( (~) @ ( '#_fresh_sk1' @ ( '#sk24' @ '#sk317' ) @ X4 ) ) )
| ~ ( '#sk317' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2279]) ).
thf(zip_derived_cl2281,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk317' @ X4 )
| ~ ( '#_fresh_sk1' @ ( '#sk24' @ '#sk317' ) @ X4 )
| ~ ( '#sk317' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2280]) ).
thf(zip_derived_cl2282,plain,
! [X0: $i] :
( ~ ( '#sk317' @ X0 )
| ~ ( '#_fresh_sk1' @ ( '#sk24' @ '#sk317' ) @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl2281]) ).
thf(zip_derived_cl2327,plain,
! [X0: $i] :
( ~ ( '#sk317' @ X0 )
| ~ ( '#_fresh_sk1' @ ( '#sk24' @ '#sk317' ) @ ( '#sk321' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2133,zip_derived_cl2282]) ).
thf(zip_derived_cl2335,plain,
~ ( '#_fresh_sk1' @ ( '#sk24' @ '#sk317' ) @ ( '#sk321' @ ( '#sk24' @ '#sk317' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2283,zip_derived_cl2327]) ).
thf(zip_derived_cl215,plain,
! [X2: $i] :
( ( '#_fresh_sk1' @ X2 @ ( '#sk321' @ X2 ) )
| ~ ( '#sk317' @ X2 )
| ~ '#form316' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl2131_021,plain,
'#form316',
inference(clc,[status(thm)],[zip_derived_cl1990,zip_derived_cl1384]) ).
thf(zip_derived_cl2340,plain,
! [X2: $i] :
( ( '#_fresh_sk1' @ X2 @ ( '#sk321' @ X2 ) )
| ~ ( '#sk317' @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl2131]) ).
thf(zip_derived_cl2350,plain,
~ ( '#sk317' @ ( '#sk24' @ '#sk317' ) ),
inference('sup+',[status(thm)],[zip_derived_cl2335,zip_derived_cl2340]) ).
thf(zip_derived_cl2283_022,plain,
'#sk317' @ ( '#sk24' @ '#sk317' ),
inference('sup-',[status(thm)],[zip_derived_cl2132,zip_derived_cl2278]) ).
thf(zip_derived_cl2361,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2350,zip_derived_cl2283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU477^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NINIvkkBkL true
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 13:27:46 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.20/0.34 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.20/0.64 % Total configuration time : 828
% 0.20/0.64 % Estimated wc time : 1656
% 0.20/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 13.00/2.31 % Solved by lams/20_acsne_simpl.sh.
% 13.00/2.31 % done 302 iterations in 1.493s
% 13.00/2.31 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.00/2.31 % SZS output start Refutation
% See solution above
% 13.00/2.31
% 13.00/2.31
% 13.00/2.31 % Terminating...
% 13.00/2.38 % Runner terminated.
% 13.00/2.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------