TSTP Solution File: SEV008^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV008^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zrsm0Wr0hw true
% Computer : n032.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 19:59:15 EDT 2023
% Result : Theorem 2.63s 0.82s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 24
% Syntax : Number of formulae : 135 ( 27 unt; 15 typ; 0 def)
% Number of atoms : 555 ( 27 equ; 0 cnn)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 1641 ( 130 ~; 111 |; 316 &; 820 @)
% ( 0 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 180 ( 180 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 14 usr; 13 con; 0-2 aty)
% ( 88 !!; 123 ??; 0 @@+; 0 @@-)
% Number of variables : 326 ( 229 ^; 81 !; 16 ?; 326 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk10_type',type,
'#sk10': a ).
thf('#form29_type',type,
'#form29': $o ).
thf('#sk27_type',type,
'#sk27': a > $o ).
thf('#sk2_type',type,
'#sk2': a ).
thf('#form26_type',type,
'#form26': $o ).
thf('#sk3_type',type,
'#sk3': a > a > $o ).
thf('#sk21_type',type,
'#sk21': a ).
thf('#sk30_type',type,
'#sk30': a > $o ).
thf('#sk24_type',type,
'#sk24': a > $o ).
thf('#form15_type',type,
'#form15': $o ).
thf('#sk1_type',type,
'#sk1': ( a > $o ) > $o ).
thf('#sk6_type',type,
'#sk6': a ).
thf('#sk16_type',type,
'#sk16': a ).
thf('#sk20_type',type,
'#sk20': a ).
thf(cTHM261_pme,conjecture,
! [P: ( a > $o ) > $o] :
( ( ! [Xx: a] :
? [Xp: a > $o] :
( ( P @ Xp )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( Xq @ Xx )
& ( P @ Xq ) )
=> ( Xq = Xp ) ) )
& ! [Xp: a > $o] :
( ( P @ Xp )
=> ? [Xz: a] : ( Xp @ Xz ) ) )
=> ( ! [Xx: a,Xy: a,Xz: a] :
( ( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xz ) )
& ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xz ) ) )
& ! [Xx: a,Xy: a] :
( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xx ) ) )
& ! [Xx: a] :
? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xx ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [P: ( a > $o ) > $o] :
( ( ! [Xx: a] :
? [Xp: a > $o] :
( ( P @ Xp )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( Xq @ Xx )
& ( P @ Xq ) )
=> ( Xq = Xp ) ) )
& ! [Xp: a > $o] :
( ( P @ Xp )
=> ? [Xz: a] : ( Xp @ Xz ) ) )
=> ( ! [Xx: a,Xy: a,Xz: a] :
( ( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xz ) )
& ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xz ) ) )
& ! [Xx: a,Xy: a] :
( ? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xy ) )
=> ? [S: a > $o] :
( ( P @ S )
& ( S @ Xy )
& ( S @ Xx ) ) )
& ! [Xx: a] :
? [S: a > $o] :
( ( P @ S )
& ( S @ Xx )
& ( S @ Xx ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM261_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
& ( Y2 @ Y1 )
& ( !!
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( Y0 @ Y3 ) )
=> ( Y3 = Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) ) )
=> ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( ??
@ ^ [Y4: a > $o] :
( ( Y0 @ Y4 )
& ( Y4 @ Y2 )
& ( Y4 @ Y3 ) ) )
& ( ??
@ ^ [Y4: a > $o] :
( ( Y0 @ Y4 )
& ( Y4 @ Y1 )
& ( Y4 @ Y2 ) ) ) )
=> ( ??
@ ^ [Y4: a > $o] :
( ( Y0 @ Y4 )
& ( Y4 @ Y1 )
& ( Y4 @ Y3 ) ) ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y1 )
& ( Y3 @ Y2 ) ) )
=> ( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 )
& ( Y3 @ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
& ( Y2 @ Y1 )
& ( !!
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( Y0 @ Y3 ) )
=> ( Y3 = Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) ) )
=> ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( ??
@ ^ [Y4: a > $o] :
( ( Y0 @ Y4 )
& ( Y4 @ Y2 )
& ( Y4 @ Y3 ) ) )
& ( ??
@ ^ [Y4: a > $o] :
( ( Y0 @ Y4 )
& ( Y4 @ Y1 )
& ( Y4 @ Y2 ) ) ) )
=> ( ??
@ ^ [Y4: a > $o] :
( ( Y0 @ Y4 )
& ( Y4 @ Y1 )
& ( Y4 @ Y3 ) ) ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y1 )
& ( Y3 @ Y2 ) ) )
=> ( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 )
& ( Y3 @ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y0 @ Y2 ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ Y0 )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( '#sk1' @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( ??
@ ^ [Y3: a > $o] :
( ( '#sk1' @ Y3 )
& ( Y3 @ Y1 )
& ( Y3 @ Y2 ) ) )
& ( ??
@ ^ [Y3: a > $o] :
( ( '#sk1' @ Y3 )
& ( Y3 @ Y0 )
& ( Y3 @ Y1 ) ) ) )
=> ( ??
@ ^ [Y3: a > $o] :
( ( '#sk1' @ Y3 )
& ( Y3 @ Y0 )
& ( Y3 @ Y2 ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( ??
@ ^ [Y3: a > $o] :
( ( '#sk1' @ Y3 )
& ( Y3 @ Y1 )
& ( Y3 @ Y2 ) ) )
& ( ??
@ ^ [Y3: a > $o] :
( ( '#sk1' @ Y3 )
& ( Y3 @ Y0 )
& ( Y3 @ Y1 ) ) ) )
=> ( ??
@ ^ [Y3: a > $o] :
( ( '#sk1' @ Y3 )
& ( Y3 @ Y0 )
& ( Y3 @ Y2 ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( ??
@ ^ [Y3: a > $o] :
( ( '#sk1' @ Y3 )
& ( Y3 @ Y1 )
& ( Y3 @ Y2 ) ) )
& ( ??
@ ^ [Y3: a > $o] :
( ( '#sk1' @ Y3 )
& ( Y3 @ Y0 )
& ( Y3 @ Y1 ) ) ) )
=> ( ??
@ ^ [Y3: a > $o] :
( ( '#sk1' @ Y3 )
& ( Y3 @ Y0 )
& ( Y3 @ Y2 ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
& ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ '#sk2' )
& ( Y2 @ Y0 ) ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ '#sk2' )
& ( Y2 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ '#sk6' )
& ( Y1 @ Y0 ) ) )
& ( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ '#sk2' )
& ( Y1 @ '#sk6' ) ) ) )
=> ( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ '#sk2' )
& ( Y1 @ Y0 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl19,plain,
( ~ ( ( ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk6' )
& ( Y0 @ '#sk10' ) ) )
& ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk6' ) ) ) )
=> ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk10' ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl22,plain,
( ( ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk6' )
& ( Y0 @ '#sk10' ) ) )
& ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk6' ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl25,plain,
( ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk6' )
& ( Y0 @ '#sk10' ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl23,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk10' ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl27,plain,
( '#form15'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl33,plain,
( ~ '#form15'
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk6' )
& ( Y0 @ '#sk10' ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl25,zip_derived_cl27]) ).
thf(zip_derived_cl37,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( Y0 @ '#sk20' )
& ( '#sk1' @ Y0 ) ) )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk6' )
& ( Y0 @ '#sk10' ) ) )
| ~ '#form15' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl43,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ '#sk20' )
& ( '#sk1' @ X2 ) )
| ~ '#form15'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk6' )
& ( Y0 @ '#sk10' ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl57,plain,
( ~ '#form26'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk6' )
& ( Y0 @ '#sk10' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl64,plain,
( ( ( '#sk1' @ '#sk27' )
& ( '#sk27' @ '#sk6' )
& ( '#sk27' @ '#sk10' ) )
| ~ '#form26' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl86,plain,
( ( '#sk27' @ '#sk6' )
| ~ '#form26' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl43_001,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ '#sk20' )
& ( '#sk1' @ X2 ) )
| ~ '#form15'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk6' )
& ( Y0 @ '#sk10' ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl44,plain,
! [X0: a] :
( ~ ( ( '#sk3' @ X0 @ '#sk20' )
& ( '#sk1' @ ( '#sk3' @ X0 ) ) )
| ~ '#form15'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk6' )
& ( Y0 @ '#sk10' ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl3,plain,
( ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ Y0 )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( '#sk1' @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ Y0 )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( '#sk1' @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
! [X2: a] :
( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ X2 )
& ( !!
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X2 )
& ( '#sk1' @ Y1 ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: a] :
( ( '#sk1' @ ( '#sk3' @ X2 ) )
& ( '#sk3' @ X2 @ X2 )
& ( !!
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X2 )
& ( '#sk1' @ Y0 ) )
=> ( Y0
= ( '#sk3' @ X2 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
! [X2: a] : ( '#sk1' @ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl27_002,plain,
( '#form15'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl28,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ '#sk16' )
& ( Y1 @ Y0 ) ) )
=> ( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ Y0 )
& ( Y1 @ '#sk16' ) ) ) ) )
| '#form15' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl36,plain,
( ~ ( ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk16' )
& ( Y0 @ '#sk21' ) ) )
=> ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk21' )
& ( Y0 @ '#sk16' ) ) ) )
| '#form15' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl42,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk21' )
& ( Y0 @ '#sk16' ) ) )
| '#form15' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl54,plain,
! [X2: a > $o] :
( ~ ( ( '#sk1' @ X2 )
& ( X2 @ '#sk21' )
& ( X2 @ '#sk16' ) )
| '#form15' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl55,plain,
( ~ ( ( '#sk1' @ '#sk24' )
& ( '#sk24' @ '#sk21' )
& ( '#sk24' @ '#sk16' ) )
| '#form15' ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl93,plain,
( ~ ( '#sk1' @ '#sk24' )
| ~ ( '#sk24' @ '#sk21' )
| ~ ( '#sk24' @ '#sk16' )
| '#form15' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl41,plain,
( ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk16' )
& ( Y0 @ '#sk21' ) ) )
| '#form15' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl53,plain,
( ( ( '#sk1' @ '#sk24' )
& ( '#sk24' @ '#sk16' )
& ( '#sk24' @ '#sk21' ) )
| '#form15' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl80,plain,
( ( '#sk1' @ '#sk24' )
| '#form15' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl94,plain,
( '#form15'
| ~ ( '#sk24' @ '#sk16' )
| ~ ( '#sk24' @ '#sk21' ) ),
inference(clc,[status(thm)],[zip_derived_cl93,zip_derived_cl80]) ).
thf(zip_derived_cl81,plain,
( ( '#sk24' @ '#sk16' )
| '#form15' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl95,plain,
( ~ ( '#sk24' @ '#sk21' )
| '#form15' ),
inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl81]) ).
thf(zip_derived_cl82,plain,
( ( '#sk24' @ '#sk21' )
| '#form15' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl96,plain,
'#form15',
inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl82]) ).
thf(zip_derived_cl215,plain,
! [X0: a] :
( ~ ( ( '#sk3' @ X0 @ '#sk20' )
& $true )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk6' )
& ( Y0 @ '#sk10' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl15,zip_derived_cl96]) ).
thf(zip_derived_cl216,plain,
! [X0: a] :
( ~ ( '#sk3' @ X0 @ '#sk20' )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk6' )
& ( Y0 @ '#sk10' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl215]) ).
thf(zip_derived_cl57_003,plain,
( ~ '#form26'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk6' )
& ( Y0 @ '#sk10' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl217,plain,
! [X0: a] :
( '#form26'
| ~ ( '#sk3' @ X0 @ '#sk20' ) ),
inference(renaming,[status(thm)],[zip_derived_cl216,zip_derived_cl57]) ).
thf(zip_derived_cl16,plain,
! [X2: a] : ( '#sk3' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl226,plain,
'#form26',
inference('sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl16]) ).
thf(zip_derived_cl235,plain,
'#sk27' @ '#sk6',
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl226]) ).
thf(zip_derived_cl17,plain,
! [X2: a] :
( !!
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X2 )
& ( '#sk1' @ Y0 ) )
=> ( Y0
= ( '#sk3' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl20,plain,
! [X2: a,X4: a > $o] :
( ( ( X4 @ X2 )
& ( '#sk1' @ X4 ) )
=> ( X4
= ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl24,plain,
! [X2: a,X4: a > $o] :
( ~ ( ( X4 @ X2 )
& ( '#sk1' @ X4 ) )
| ( X4
= ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl30,plain,
! [X2: a,X4: a > $o] :
( ~ ( ( X4 @ X2 )
& ( '#sk1' @ X4 ) )
| ( X4
= ( '#sk3' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl31,plain,
! [X2: a,X4: a > $o,X6: a] :
( ~ ( ( X4 @ X2 )
& ( '#sk1' @ X4 ) )
| ( ( X4 @ X6 )
= ( '#sk3' @ X2 @ X6 ) ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl32,plain,
! [X2: a,X4: a > $o,X6: a] :
( ~ ( X4 @ X2 )
| ~ ( '#sk1' @ X4 )
| ( ( X4 @ X6 )
= ( '#sk3' @ X2 @ X6 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl338,plain,
! [X0: a] :
( ( ( ^ [Y0: a] :
( '#sk27'
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ X0 )
= ( '#sk3' @ '#sk6' @ X0 ) )
| ~ ( '#sk1'
@ ^ [Y0: a] :
( '#sk27'
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl235,zip_derived_cl32]) ).
thf(zip_derived_cl373,plain,
! [X0: a] :
( ( ( '#sk27' @ X0 )
= ( '#sk3' @ '#sk6' @ X0 ) )
| ~ ( '#sk1' @ '#sk27' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl338]) ).
thf(zip_derived_cl85,plain,
( ( '#sk1' @ '#sk27' )
| ~ '#form26' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl226_004,plain,
'#form26',
inference('sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl16]) ).
thf(zip_derived_cl234,plain,
'#sk1' @ '#sk27',
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl226]) ).
thf(zip_derived_cl374,plain,
! [X0: a] :
( ( '#sk27' @ X0 )
= ( '#sk3' @ '#sk6' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl373,zip_derived_cl234]) ).
thf(zip_derived_cl26,plain,
( ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk6' ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl27_005,plain,
( '#form15'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl34,plain,
( ~ '#form15'
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk6' ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl26,zip_derived_cl27]) ).
thf(zip_derived_cl38,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( Y0 @ '#sk20' )
& ( '#sk1' @ Y0 ) ) )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk6' ) ) )
| ~ '#form15' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl45,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ '#sk20' )
& ( '#sk1' @ X2 ) )
| ~ '#form15'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk6' ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl66,plain,
( ~ '#form29'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk6' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl73,plain,
( ( ( '#sk1' @ '#sk30' )
& ( '#sk30' @ '#sk2' )
& ( '#sk30' @ '#sk6' ) )
| ~ '#form29' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl91,plain,
( ( '#sk30' @ '#sk6' )
| ~ '#form29' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl45_006,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ '#sk20' )
& ( '#sk1' @ X2 ) )
| ~ '#form15'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk6' ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl46,plain,
! [X0: a] :
( ~ ( ( '#sk3' @ X0 @ '#sk20' )
& ( '#sk1' @ ( '#sk3' @ X0 ) ) )
| ~ '#form15'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk6' ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl15_007,plain,
! [X2: a] : ( '#sk1' @ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl96_008,plain,
'#form15',
inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl82]) ).
thf(zip_derived_cl223,plain,
! [X0: a] :
( ~ ( ( '#sk3' @ X0 @ '#sk20' )
& $true )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk6' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl15,zip_derived_cl96]) ).
thf(zip_derived_cl224,plain,
! [X0: a] :
( ~ ( '#sk3' @ X0 @ '#sk20' )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk6' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl223]) ).
thf(zip_derived_cl66_009,plain,
( ~ '#form29'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk6' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl225,plain,
! [X0: a] :
( '#form29'
| ~ ( '#sk3' @ X0 @ '#sk20' ) ),
inference(renaming,[status(thm)],[zip_derived_cl224,zip_derived_cl66]) ).
thf(zip_derived_cl16_010,plain,
! [X2: a] : ( '#sk3' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl230,plain,
'#form29',
inference('sup+',[status(thm)],[zip_derived_cl225,zip_derived_cl16]) ).
thf(zip_derived_cl239,plain,
'#sk30' @ '#sk6',
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl230]) ).
thf(zip_derived_cl32_011,plain,
! [X2: a,X4: a > $o,X6: a] :
( ~ ( X4 @ X2 )
| ~ ( '#sk1' @ X4 )
| ( ( X4 @ X6 )
= ( '#sk3' @ X2 @ X6 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl334,plain,
! [X0: a] :
( ( ( ^ [Y0: a] :
( '#sk30'
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ X0 )
= ( '#sk3' @ '#sk6' @ X0 ) )
| ~ ( '#sk1'
@ ^ [Y0: a] :
( '#sk30'
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl32]) ).
thf(zip_derived_cl365,plain,
! [X0: a] :
( ( ( '#sk30' @ X0 )
= ( '#sk3' @ '#sk6' @ X0 ) )
| ~ ( '#sk1' @ '#sk30' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl334]) ).
thf(zip_derived_cl89,plain,
( ( '#sk1' @ '#sk30' )
| ~ '#form29' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl230_012,plain,
'#form29',
inference('sup+',[status(thm)],[zip_derived_cl225,zip_derived_cl16]) ).
thf(zip_derived_cl237,plain,
'#sk1' @ '#sk30',
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl230]) ).
thf(zip_derived_cl366,plain,
! [X0: a] :
( ( '#sk30' @ X0 )
= ( '#sk3' @ '#sk6' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl365,zip_derived_cl237]) ).
thf(zip_derived_cl514,plain,
! [X0: a] :
( ( '#sk30' @ X0 )
= ( '#sk27' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl374,zip_derived_cl366]) ).
thf(zip_derived_cl90,plain,
( ( '#sk30' @ '#sk2' )
| ~ '#form29' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl230_013,plain,
'#form29',
inference('sup+',[status(thm)],[zip_derived_cl225,zip_derived_cl16]) ).
thf(zip_derived_cl238,plain,
'#sk30' @ '#sk2',
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl230]) ).
thf(zip_derived_cl32_014,plain,
! [X2: a,X4: a > $o,X6: a] :
( ~ ( X4 @ X2 )
| ~ ( '#sk1' @ X4 )
| ( ( X4 @ X6 )
= ( '#sk3' @ X2 @ X6 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl335,plain,
! [X0: a] :
( ( ( ^ [Y0: a] :
( '#sk30'
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ X0 )
= ( '#sk3' @ '#sk2' @ X0 ) )
| ~ ( '#sk1'
@ ^ [Y0: a] :
( '#sk30'
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl32]) ).
thf(zip_derived_cl367,plain,
! [X0: a] :
( ( ( '#sk30' @ X0 )
= ( '#sk3' @ '#sk2' @ X0 ) )
| ~ ( '#sk1' @ '#sk30' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl335]) ).
thf(zip_derived_cl237_015,plain,
'#sk1' @ '#sk30',
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl230]) ).
thf(zip_derived_cl368,plain,
! [X0: a] :
( ( '#sk30' @ X0 )
= ( '#sk3' @ '#sk2' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl237]) ).
thf(zip_derived_cl16_016,plain,
! [X2: a] : ( '#sk3' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl23_017,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk10' ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl27_018,plain,
( '#form15'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y1 )
& ( Y2 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl29,plain,
( ~ '#form15'
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) )
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk10' ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl23,zip_derived_cl27]) ).
thf(zip_derived_cl35,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( Y0 @ '#sk20' )
& ( '#sk1' @ Y0 ) ) )
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk10' ) ) )
| ~ '#form15' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl39,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ '#sk20' )
& ( '#sk1' @ X2 ) )
| ~ '#form15'
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk10' ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl40,plain,
! [X0: a] :
( ~ ( ( '#sk3' @ X0 @ '#sk20' )
& ( '#sk1' @ ( '#sk3' @ X0 ) ) )
| ~ '#form15'
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk10' ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl15_019,plain,
! [X2: a] : ( '#sk1' @ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl96_020,plain,
'#form15',
inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl82]) ).
thf(zip_derived_cl206,plain,
! [X0: a] :
( ~ ( ( '#sk3' @ X0 @ '#sk20' )
& $true )
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk10' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl15,zip_derived_cl96]) ).
thf(zip_derived_cl207,plain,
! [X0: a] :
( ~ ( '#sk3' @ X0 @ '#sk20' )
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk2' )
& ( Y0 @ '#sk10' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl206]) ).
thf(zip_derived_cl208,plain,
! [X0: a,X2: a > $o] :
( ~ ( ( '#sk1' @ X2 )
& ( X2 @ '#sk2' )
& ( X2 @ '#sk10' ) )
| ~ ( '#sk3' @ X0 @ '#sk20' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl207]) ).
thf(zip_derived_cl213,plain,
! [X0: a,X2: a > $o] :
( ~ ( '#sk1' @ X2 )
| ~ ( X2 @ '#sk2' )
| ~ ( X2 @ '#sk10' )
| ~ ( '#sk3' @ X0 @ '#sk20' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl274,plain,
! [X0: a > $o] :
( ~ ( X0 @ '#sk10' )
| ~ ( X0 @ '#sk2' )
| ~ ( '#sk1' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl213]) ).
thf(zip_derived_cl429,plain,
( ~ ( '#sk30' @ '#sk10' )
| ~ ( '#sk1'
@ ^ [Y0: a] :
( '#sk3'
@ ( ^ [Y1: a] : '#sk2'
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) )
| ~ ( ^ [Y0: a] :
( '#sk3'
@ ( ^ [Y1: a] : '#sk2'
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl368,zip_derived_cl274]) ).
thf(zip_derived_cl447,plain,
( ~ ( '#sk30' @ '#sk10' )
| ~ ( '#sk1' @ ( '#sk3' @ '#sk2' ) )
| ~ ( '#sk3' @ '#sk2' @ '#sk2' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl429]) ).
thf(zip_derived_cl15_021,plain,
! [X2: a] : ( '#sk1' @ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl16_022,plain,
! [X2: a] : ( '#sk3' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl448,plain,
~ ( '#sk30' @ '#sk10' ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl15,zip_derived_cl16]) ).
thf(zip_derived_cl557,plain,
~ ( '#sk27' @ '#sk10' ),
inference('sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl448]) ).
thf(zip_derived_cl87,plain,
( ( '#sk27' @ '#sk10' )
| ~ '#form26' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl226_023,plain,
'#form26',
inference('sup+',[status(thm)],[zip_derived_cl217,zip_derived_cl16]) ).
thf(zip_derived_cl236,plain,
'#sk27' @ '#sk10',
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl226]) ).
thf(zip_derived_cl594,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl557,zip_derived_cl236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEV008^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zrsm0Wr0hw true
% 0.11/0.27 % Computer : n032.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8042.1875MB
% 0.11/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Thu Aug 24 02:42:41 EDT 2023
% 0.11/0.27 % CPUTime :
% 0.11/0.27 % Running portfolio for 300 s
% 0.11/0.27 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.28 % Number of cores: 8
% 0.11/0.28 % Python version: Python 3.6.8
% 0.11/0.28 % Running in HO mode
% 0.13/0.50 % Total configuration time : 828
% 0.13/0.50 % Estimated wc time : 1656
% 0.13/0.50 % Estimated cpu time (8 cpus) : 207.0
% 0.13/0.55 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.13/0.55 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.13/0.55 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.13/0.55 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.13/0.55 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.13/0.55 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.13/0.57 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.13/0.57 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 2.63/0.82 % Solved by lams/20_acsne_simpl.sh.
% 2.63/0.82 % done 57 iterations in 0.209s
% 2.63/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.63/0.82 % SZS output start Refutation
% See solution above
% 2.63/0.82
% 2.63/0.82
% 2.63/0.83 % Terminating...
% 3.05/0.92 % Runner terminated.
% 3.05/0.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------