TSTP Solution File: SEV009^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV009^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1ttKLO5FxC true
% Computer : n001.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 2.45s 1.02s
% Output : Refutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 24
% Syntax : Number of formulae : 136 ( 25 unt; 15 typ; 0 def)
% Number of atoms : 549 ( 26 equ; 0 cnn)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 1607 ( 132 ~; 111 |; 312 &; 806 @)
% ( 0 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 170 ( 170 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 14 usr; 13 con; 0-2 aty)
% ( 82 !!; 118 ??; 0 @@+; 0 @@-)
% Number of variables : 314 ( 212 ^; 88 !; 14 ?; 314 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk12_type',type,
'#sk12': a ).
thf('#sk15_type',type,
'#sk15': a ).
thf('#sk1_type',type,
'#sk1': ( a > $o ) > $o ).
thf('#sk4_type',type,
'#sk4': a ).
thf('#sk2_type',type,
'#sk2': a > a > $o ).
thf('#form19_type',type,
'#form19': $o ).
thf('#form11_type',type,
'#form11': $o ).
thf('#sk5_type',type,
'#sk5': a ).
thf('#sk23_type',type,
'#sk23': a > $o ).
thf('#sk20_type',type,
'#sk20': a > $o ).
thf('#sk17_type',type,
'#sk17': a > $o ).
thf('#sk3_type',type,
'#sk3': a ).
thf('#form22_type',type,
'#form22': $o ).
thf('#sk14_type',type,
'#sk14': a ).
thf(cTHM261_B_pme,conjecture,
! [P: ( a > $o ) > $o] :
( ! [Xx: a] :
? [Xp: a > $o] :
( ( P @ Xp )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( Xq @ Xx )
& ( P @ Xq ) )
=> ( Xq = Xp ) ) )
=> ( ! [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 ) ) )
=> ( ! [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_B_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] :
( !!
@ ^ [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] :
( !!
@ ^ [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] :
( !!
@ ^ [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_cl3,plain,
( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ Y0 )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( '#sk1' @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,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_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: a] :
( ( '#sk1' @ ( '#sk2' @ X2 ) )
& ( '#sk2' @ X2 @ X2 )
& ( !!
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X2 )
& ( '#sk1' @ Y0 ) )
=> ( Y0
= ( '#sk2' @ X2 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: a] : ( '#sk2' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
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_cl6,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_cl8,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ Y0 )
& ( Y2 @ Y1 ) ) )
& ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ '#sk3' )
& ( Y2 @ Y0 ) ) ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( '#sk1' @ Y2 )
& ( Y2 @ '#sk3' )
& ( 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_cl6]) ).
thf(zip_derived_cl12,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ '#sk4' )
& ( Y1 @ Y0 ) ) )
& ( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ '#sk3' )
& ( Y1 @ '#sk4' ) ) ) )
=> ( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ '#sk3' )
& ( 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_cl8]) ).
thf(zip_derived_cl15,plain,
( ~ ( ( ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk4' )
& ( Y0 @ '#sk5' ) ) )
& ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk4' ) ) ) )
=> ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk5' ) ) ) )
| ~ ( !!
@ ^ [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_cl12]) ).
thf(zip_derived_cl17,plain,
( ( ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk4' )
& ( Y0 @ '#sk5' ) ) )
& ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk4' ) ) ) )
| ~ ( !!
@ ^ [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_cl15]) ).
thf(zip_derived_cl22,plain,
( ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk4' )
& ( Y0 @ '#sk5' ) ) )
| ~ ( !!
@ ^ [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_cl17]) ).
thf(zip_derived_cl18,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk5' ) ) )
| ~ ( !!
@ ^ [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_cl15]) ).
thf(zip_derived_cl24,plain,
( '#form11'
| ~ ( !!
@ ^ [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_cl27,plain,
( ~ '#form11'
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk4' )
& ( Y0 @ '#sk5' ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl22,zip_derived_cl24]) ).
thf(zip_derived_cl31,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( Y0 @ '#sk14' )
& ( '#sk1' @ Y0 ) ) )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk4' )
& ( Y0 @ '#sk5' ) ) )
| ~ '#form11' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl37,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ '#sk14' )
& ( '#sk1' @ X2 ) )
| ~ '#form11'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk4' )
& ( Y0 @ '#sk5' ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl50,plain,
( ~ '#form19'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk4' )
& ( Y0 @ '#sk5' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl56,plain,
( ( ( '#sk1' @ '#sk20' )
& ( '#sk20' @ '#sk4' )
& ( '#sk20' @ '#sk5' ) )
| ~ '#form19' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl77,plain,
( ( '#sk20' @ '#sk4' )
| ~ '#form19' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl37_001,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ '#sk14' )
& ( '#sk1' @ X2 ) )
| ~ '#form11'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk4' )
& ( Y0 @ '#sk5' ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl38,plain,
! [X0: a] :
( ~ ( ( '#sk2' @ X0 @ '#sk14' )
& ( '#sk1' @ ( '#sk2' @ X0 ) ) )
| ~ '#form11'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk4' )
& ( Y0 @ '#sk5' ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl9,plain,
! [X2: a] : ( '#sk1' @ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl24_002,plain,
( '#form11'
| ~ ( !!
@ ^ [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_cl25,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ '#sk12' )
& ( Y1 @ Y0 ) ) )
=> ( ??
@ ^ [Y1: a > $o] :
( ( '#sk1' @ Y1 )
& ( Y1 @ Y0 )
& ( Y1 @ '#sk12' ) ) ) ) )
| '#form11' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl30,plain,
( ~ ( ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk12' )
& ( Y0 @ '#sk15' ) ) )
=> ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk15' )
& ( Y0 @ '#sk12' ) ) ) )
| '#form11' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl36,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk15' )
& ( Y0 @ '#sk12' ) ) )
| '#form11' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl47,plain,
! [X2: a > $o] :
( ~ ( ( '#sk1' @ X2 )
& ( X2 @ '#sk15' )
& ( X2 @ '#sk12' ) )
| '#form11' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl48,plain,
( ~ ( ( '#sk1' @ '#sk17' )
& ( '#sk17' @ '#sk15' )
& ( '#sk17' @ '#sk12' ) )
| '#form11' ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl84,plain,
( ~ ( '#sk1' @ '#sk17' )
| ~ ( '#sk17' @ '#sk15' )
| ~ ( '#sk17' @ '#sk12' )
| '#form11' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl35,plain,
( ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk12' )
& ( Y0 @ '#sk15' ) ) )
| '#form11' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl46,plain,
( ( ( '#sk1' @ '#sk17' )
& ( '#sk17' @ '#sk12' )
& ( '#sk17' @ '#sk15' ) )
| '#form11' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl71,plain,
( ( '#sk1' @ '#sk17' )
| '#form11' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl85,plain,
( '#form11'
| ~ ( '#sk17' @ '#sk12' )
| ~ ( '#sk17' @ '#sk15' ) ),
inference(clc,[status(thm)],[zip_derived_cl84,zip_derived_cl71]) ).
thf(zip_derived_cl72,plain,
( ( '#sk17' @ '#sk12' )
| '#form11' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl86,plain,
( ~ ( '#sk17' @ '#sk15' )
| '#form11' ),
inference(clc,[status(thm)],[zip_derived_cl85,zip_derived_cl72]) ).
thf(zip_derived_cl73,plain,
( ( '#sk17' @ '#sk15' )
| '#form11' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl87,plain,
'#form11',
inference(clc,[status(thm)],[zip_derived_cl86,zip_derived_cl73]) ).
thf(zip_derived_cl202,plain,
! [X0: a] :
( ~ ( ( '#sk2' @ X0 @ '#sk14' )
& $true )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk4' )
& ( Y0 @ '#sk5' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl9,zip_derived_cl87]) ).
thf(zip_derived_cl203,plain,
! [X0: a] :
( ~ ( '#sk2' @ X0 @ '#sk14' )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk4' )
& ( Y0 @ '#sk5' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl202]) ).
thf(zip_derived_cl50_003,plain,
( ~ '#form19'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk4' )
& ( Y0 @ '#sk5' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl204,plain,
! [X0: a] :
( '#form19'
| ~ ( '#sk2' @ X0 @ '#sk14' ) ),
inference(renaming,[status(thm)],[zip_derived_cl203,zip_derived_cl50]) ).
thf(zip_derived_cl10_004,plain,
! [X2: a] : ( '#sk2' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl208,plain,
'#form19',
inference('sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl10]) ).
thf(zip_derived_cl213,plain,
'#sk20' @ '#sk4',
inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl208]) ).
thf(zip_derived_cl11,plain,
! [X2: a] :
( !!
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X2 )
& ( '#sk1' @ Y0 ) )
=> ( Y0
= ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: a,X4: a > $o] :
( ( ( X4 @ X2 )
& ( '#sk1' @ X4 ) )
=> ( X4
= ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl16,plain,
! [X2: a,X4: a > $o] :
( ~ ( ( X4 @ X2 )
& ( '#sk1' @ X4 ) )
| ( X4
= ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: a,X4: a > $o] :
( ~ ( ( X4 @ X2 )
& ( '#sk1' @ X4 ) )
| ( X4
= ( '#sk2' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl20,plain,
! [X2: a,X4: a > $o,X6: a] :
( ~ ( ( X4 @ X2 )
& ( '#sk1' @ X4 ) )
| ( ( X4 @ X6 )
= ( '#sk2' @ X2 @ X6 ) ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
! [X2: a,X4: a > $o,X6: a] :
( ~ ( X4 @ X2 )
| ~ ( '#sk1' @ X4 )
| ( ( X4 @ X6 )
= ( '#sk2' @ X2 @ X6 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl226,plain,
! [X0: a] :
( ( ( ^ [Y0: a] :
( '#sk20'
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ X0 )
= ( '#sk2' @ '#sk4' @ X0 ) )
| ~ ( '#sk1'
@ ^ [Y0: a] :
( '#sk20'
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl21]) ).
thf(zip_derived_cl258,plain,
! [X0: a] :
( ( ( '#sk20' @ X0 )
= ( '#sk2' @ '#sk4' @ X0 ) )
| ~ ( '#sk1' @ '#sk20' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl226]) ).
thf(zip_derived_cl76,plain,
( ( '#sk1' @ '#sk20' )
| ~ '#form19' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl208_005,plain,
'#form19',
inference('sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl10]) ).
thf(zip_derived_cl212,plain,
'#sk1' @ '#sk20',
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl208]) ).
thf(zip_derived_cl259,plain,
! [X0: a] :
( ( '#sk20' @ X0 )
= ( '#sk2' @ '#sk4' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl212]) ).
thf(zip_derived_cl23,plain,
( ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk4' ) ) )
| ~ ( !!
@ ^ [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_cl17]) ).
thf(zip_derived_cl24_006,plain,
( '#form11'
| ~ ( !!
@ ^ [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,
( ~ '#form11'
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk4' ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl23,zip_derived_cl24]) ).
thf(zip_derived_cl32,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( Y0 @ '#sk14' )
& ( '#sk1' @ Y0 ) ) )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk4' ) ) )
| ~ '#form11' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl39,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ '#sk14' )
& ( '#sk1' @ X2 ) )
| ~ '#form11'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk4' ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl58,plain,
( ~ '#form22'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk4' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl64,plain,
( ( ( '#sk1' @ '#sk23' )
& ( '#sk23' @ '#sk3' )
& ( '#sk23' @ '#sk4' ) )
| ~ '#form22' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl82,plain,
( ( '#sk23' @ '#sk4' )
| ~ '#form22' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl39_007,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ '#sk14' )
& ( '#sk1' @ X2 ) )
| ~ '#form11'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk4' ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl40,plain,
! [X0: a] :
( ~ ( ( '#sk2' @ X0 @ '#sk14' )
& ( '#sk1' @ ( '#sk2' @ X0 ) ) )
| ~ '#form11'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk4' ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl9_008,plain,
! [X2: a] : ( '#sk1' @ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl87_009,plain,
'#form11',
inference(clc,[status(thm)],[zip_derived_cl86,zip_derived_cl73]) ).
thf(zip_derived_cl205,plain,
! [X0: a] :
( ~ ( ( '#sk2' @ X0 @ '#sk14' )
& $true )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk4' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl9,zip_derived_cl87]) ).
thf(zip_derived_cl206,plain,
! [X0: a] :
( ~ ( '#sk2' @ X0 @ '#sk14' )
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk4' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl58_010,plain,
( ~ '#form22'
| ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk4' ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl207,plain,
! [X0: a] :
( '#form22'
| ~ ( '#sk2' @ X0 @ '#sk14' ) ),
inference(renaming,[status(thm)],[zip_derived_cl206,zip_derived_cl58]) ).
thf(zip_derived_cl10_011,plain,
! [X2: a] : ( '#sk2' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl215,plain,
'#form22',
inference('sup+',[status(thm)],[zip_derived_cl207,zip_derived_cl10]) ).
thf(zip_derived_cl221,plain,
'#sk23' @ '#sk4',
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl215]) ).
thf(zip_derived_cl21_012,plain,
! [X2: a,X4: a > $o,X6: a] :
( ~ ( X4 @ X2 )
| ~ ( '#sk1' @ X4 )
| ( ( X4 @ X6 )
= ( '#sk2' @ X2 @ X6 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl222,plain,
! [X0: a] :
( ( ( ^ [Y0: a] :
( '#sk23'
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ X0 )
= ( '#sk2' @ '#sk4' @ X0 ) )
| ~ ( '#sk1'
@ ^ [Y0: a] :
( '#sk23'
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl21]) ).
thf(zip_derived_cl250,plain,
! [X0: a] :
( ( ( '#sk23' @ X0 )
= ( '#sk2' @ '#sk4' @ X0 ) )
| ~ ( '#sk1' @ '#sk23' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl80,plain,
( ( '#sk1' @ '#sk23' )
| ~ '#form22' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl215_013,plain,
'#form22',
inference('sup+',[status(thm)],[zip_derived_cl207,zip_derived_cl10]) ).
thf(zip_derived_cl219,plain,
'#sk1' @ '#sk23',
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl215]) ).
thf(zip_derived_cl251,plain,
! [X0: a] :
( ( '#sk23' @ X0 )
= ( '#sk2' @ '#sk4' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl250,zip_derived_cl219]) ).
thf(zip_derived_cl372,plain,
! [X0: a] :
( ( '#sk23' @ X0 )
= ( '#sk20' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl259,zip_derived_cl251]) ).
thf(zip_derived_cl81,plain,
( ( '#sk23' @ '#sk3' )
| ~ '#form22' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl215_014,plain,
'#form22',
inference('sup+',[status(thm)],[zip_derived_cl207,zip_derived_cl10]) ).
thf(zip_derived_cl220,plain,
'#sk23' @ '#sk3',
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl215]) ).
thf(zip_derived_cl21_015,plain,
! [X2: a,X4: a > $o,X6: a] :
( ~ ( X4 @ X2 )
| ~ ( '#sk1' @ X4 )
| ( ( X4 @ X6 )
= ( '#sk2' @ X2 @ X6 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl223,plain,
! [X0: a] :
( ( ( ^ [Y0: a] :
( '#sk23'
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ X0 )
= ( '#sk2' @ '#sk3' @ X0 ) )
| ~ ( '#sk1'
@ ^ [Y0: a] :
( '#sk23'
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl21]) ).
thf(zip_derived_cl252,plain,
! [X0: a] :
( ( ( '#sk23' @ X0 )
= ( '#sk2' @ '#sk3' @ X0 ) )
| ~ ( '#sk1' @ '#sk23' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl223]) ).
thf(zip_derived_cl219_016,plain,
'#sk1' @ '#sk23',
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl215]) ).
thf(zip_derived_cl253,plain,
! [X0: a] :
( ( '#sk23' @ X0 )
= ( '#sk2' @ '#sk3' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl219]) ).
thf(zip_derived_cl18_017,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk5' ) ) )
| ~ ( !!
@ ^ [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_cl15]) ).
thf(zip_derived_cl24_018,plain,
( '#form11'
| ~ ( !!
@ ^ [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_cl26,plain,
( ~ '#form11'
| ~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( '#sk1' @ Y1 ) ) ) )
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk5' ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl18,zip_derived_cl24]) ).
thf(zip_derived_cl29,plain,
( ~ ( ??
@ ^ [Y0: a > $o] :
( ( Y0 @ '#sk14' )
& ( '#sk1' @ Y0 ) ) )
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk5' ) ) )
| ~ '#form11' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl33,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ '#sk14' )
& ( '#sk1' @ X2 ) )
| ~ '#form11'
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk5' ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl34,plain,
! [X0: a] :
( ~ ( ( '#sk2' @ X0 @ '#sk14' )
& ( '#sk1' @ ( '#sk2' @ X0 ) ) )
| ~ '#form11'
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk5' ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl9_019,plain,
! [X2: a] : ( '#sk1' @ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl87_020,plain,
'#form11',
inference(clc,[status(thm)],[zip_derived_cl86,zip_derived_cl73]) ).
thf(zip_derived_cl155,plain,
! [X0: a] :
( ~ ( ( '#sk2' @ X0 @ '#sk14' )
& $true )
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk5' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl9,zip_derived_cl87]) ).
thf(zip_derived_cl156,plain,
! [X0: a] :
( ~ ( '#sk2' @ X0 @ '#sk14' )
| ~ ( ??
@ ^ [Y0: a > $o] :
( ( '#sk1' @ Y0 )
& ( Y0 @ '#sk3' )
& ( Y0 @ '#sk5' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl157,plain,
! [X0: a,X2: a > $o] :
( ~ ( ( '#sk1' @ X2 )
& ( X2 @ '#sk3' )
& ( X2 @ '#sk5' ) )
| ~ ( '#sk2' @ X0 @ '#sk14' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl156]) ).
thf(zip_derived_cl161,plain,
! [X0: a,X1: a] :
( ~ ( ( '#sk1' @ ( '#sk2' @ X0 ) )
& ( '#sk2' @ X0 @ '#sk3' )
& ( '#sk2' @ X0 @ '#sk5' ) )
| ~ ( '#sk2' @ X1 @ '#sk14' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl157]) ).
thf(zip_derived_cl9_021,plain,
! [X2: a] : ( '#sk1' @ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl180,plain,
! [X0: a,X1: a] :
( ~ ( $true
& ( '#sk2' @ X0 @ '#sk3' )
& ( '#sk2' @ X0 @ '#sk5' ) )
| ~ ( '#sk2' @ X1 @ '#sk14' ) ),
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl9]) ).
thf(zip_derived_cl181,plain,
! [X0: a,X1: a] :
( ~ ( ( '#sk2' @ X0 @ '#sk5' )
& ( '#sk2' @ X0 @ '#sk3' ) )
| ~ ( '#sk2' @ X1 @ '#sk14' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl182,plain,
! [X0: a,X1: a] :
( ~ ( '#sk2' @ X0 @ '#sk5' )
| ~ ( '#sk2' @ X0 @ '#sk3' )
| ~ ( '#sk2' @ X1 @ '#sk14' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl317,plain,
! [X0: a] :
( ~ ( '#sk23' @ '#sk5' )
| ~ ( '#sk2' @ X0 @ '#sk14' )
| ~ ( '#sk2' @ '#sk3' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl182]) ).
thf(zip_derived_cl10_022,plain,
! [X2: a] : ( '#sk2' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl322,plain,
! [X0: a] :
( ~ ( '#sk23' @ '#sk5' )
| ~ ( '#sk2' @ X0 @ '#sk14' ) ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl10]) ).
thf(zip_derived_cl397,plain,
! [X0: a] :
( ~ ( '#sk20' @ '#sk5' )
| ~ ( '#sk2' @ X0 @ '#sk14' ) ),
inference('sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl322]) ).
thf(zip_derived_cl78,plain,
( ( '#sk20' @ '#sk5' )
| ~ '#form19' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl208_023,plain,
'#form19',
inference('sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl10]) ).
thf(zip_derived_cl214,plain,
'#sk20' @ '#sk5',
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl208]) ).
thf(zip_derived_cl421,plain,
! [X0: a] :
~ ( '#sk2' @ X0 @ '#sk14' ),
inference(demod,[status(thm)],[zip_derived_cl397,zip_derived_cl214]) ).
thf(zip_derived_cl549,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV009^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1ttKLO5FxC true
% 0.17/0.35 % Computer : n001.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 24 04:19:10 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.36 % Running in HO mode
% 0.21/0.63 % Total configuration time : 828
% 0.21/0.63 % Estimated wc time : 1656
% 0.21/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 2.45/1.02 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 2.45/1.02 % Solved by lams/20_acsne_simpl.sh.
% 2.45/1.02 % done 64 iterations in 0.124s
% 2.45/1.02 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.45/1.02 % SZS output start Refutation
% See solution above
% 3.18/1.02
% 3.18/1.02
% 3.18/1.02 % Terminating...
% 3.18/1.06 % Runner terminated.
% 3.18/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------