TSTP Solution File: SEV101^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV101^5 : 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.1psnEvngZh true
% Computer : n013.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 19:59:36 EDT 2023
% Result : Theorem 48.96s 6.94s
% Output : Refutation 48.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 35
% Syntax : Number of formulae : 77 ( 25 unt; 10 typ; 0 def)
% Number of atoms : 581 ( 0 equ; 8 cnn)
% Maximal formula atoms : 24 ( 8 avg)
% Number of connectives : 1860 ( 102 ~; 181 |; 34 &;1427 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 677 ( 677 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 10 usr; 6 con; 0-3 aty)
% ( 96 !!; 5 ??; 0 @@+; 0 @@-)
% Number of variables : 675 ( 488 ^; 183 !; 4 ?; 675 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk108_type',type,
'#sk108': ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i ).
thf(p_type,type,
p: $o ).
thf('#sk575_type',type,
'#sk575': ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf('#sk442_type',type,
'#sk442': ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf('#l_lift104294_type',type,
'#l_lift104294': $i > $o ).
thf('#sk958_type',type,
'#sk958': ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i ).
thf('#l_lift104295_type',type,
'#l_lift104295': ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk61_type',type,
'#sk61': ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf('#sk349_type',type,
'#sk349': ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf('#l_lift104293_type',type,
'#l_lift104293': $i > $o ).
thf(cTHM120E_pme,conjecture,
? [Xr_28: ( $i > $o ) > ( $i > $o ) > $i > $o,Xr_27: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ! [Xx: $i > $o,Xw_2: $i] :
( ( Xr_27 @ Xx @ Xx @ Xw_2 )
| ( Xr_28 @ Xx @ Xx @ Xw_2 ) )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ! [Xw_2: $i] :
( ( Xr_27 @ Xy @ Xz @ Xw_2 )
| ( Xr_28 @ Xy @ Xz @ Xw_2 ) )
& ! [Xw_2: $i] :
( ( Xr_27 @ Xx @ Xy @ Xw_2 )
| ( Xr_28 @ Xx @ Xy @ Xw_2 ) ) )
=> ! [Xw_2: $i] :
( ( Xr_27 @ Xx @ Xz @ Xw_2 )
| ( Xr_28 @ Xx @ Xz @ Xw_2 ) ) )
& ~ ! [Xw_2: $i] :
( ( Xr_27
@ ^ [Xx: $i] :
( ~ p
| p )
@ ^ [Xx: $i] :
( ~ p
& p )
@ Xw_2 )
| ( Xr_28
@ ^ [Xx: $i] :
( ~ p
| p )
@ ^ [Xx: $i] :
( ~ p
& p )
@ Xw_2 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [Xr_28: ( $i > $o ) > ( $i > $o ) > $i > $o,Xr_27: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ! [Xx: $i > $o,Xw_2: $i] :
( ( Xr_27 @ Xx @ Xx @ Xw_2 )
| ( Xr_28 @ Xx @ Xx @ Xw_2 ) )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ! [Xw_2: $i] :
( ( Xr_27 @ Xy @ Xz @ Xw_2 )
| ( Xr_28 @ Xy @ Xz @ Xw_2 ) )
& ! [Xw_2: $i] :
( ( Xr_27 @ Xx @ Xy @ Xw_2 )
| ( Xr_28 @ Xx @ Xy @ Xw_2 ) ) )
=> ! [Xw_2: $i] :
( ( Xr_27 @ Xx @ Xz @ Xw_2 )
| ( Xr_28 @ Xx @ Xz @ Xw_2 ) ) )
& ~ ! [Xw_2: $i] :
( ( Xr_27
@ ^ [Xx: $i] :
( ~ p
| p )
@ ^ [Xx: $i] :
( ~ p
& p )
@ Xw_2 )
| ( Xr_28
@ ^ [Xx: $i] :
( ~ p
| p )
@ ^ [Xx: $i] :
( ~ p
& p )
@ Xw_2 ) ) ),
inference('cnf.neg',[status(esa)],[cTHM120E_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ??
@ ^ [Y1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y2 @ Y2 @ Y3 )
| ( Y0 @ Y2 @ Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i > $o] :
( !!
@ ^ [Y4: $i > $o] :
( ( ( !!
@ ^ [Y5: $i] :
( ( Y1 @ Y3 @ Y4 @ Y5 )
| ( Y0 @ Y3 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: $i] :
( ( Y1 @ Y2 @ Y3 @ Y5 )
| ( Y0 @ Y2 @ Y3 @ Y5 ) ) ) )
=> ( !!
@ ^ [Y5: $i] :
( ( Y1 @ Y2 @ Y4 @ Y5 )
| ( Y0 @ Y2 @ Y4 @ Y5 ) ) ) ) ) ) )
& ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( Y1
@ ^ [Y3: $i] :
( ( (~) @ p )
| p )
@ ^ [Y3: $i] :
( ( (~) @ p )
& p )
@ Y2 )
| ( Y0
@ ^ [Y3: $i] :
( ( (~) @ p )
| p )
@ ^ [Y3: $i] :
( ( (~) @ p )
& p )
@ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ??
@ ^ [Y0: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ??
@ ^ [Y1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y2 @ Y2 @ Y3 )
| ( Y0 @ Y2 @ Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i > $o] :
( !!
@ ^ [Y4: $i > $o] :
( ( ( !!
@ ^ [Y5: $i] :
( ( Y1 @ Y3 @ Y4 @ Y5 )
| ( Y0 @ Y3 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: $i] :
( ( Y1 @ Y2 @ Y3 @ Y5 )
| ( Y0 @ Y2 @ Y3 @ Y5 ) ) ) )
=> ( !!
@ ^ [Y5: $i] :
( ( Y1 @ Y2 @ Y4 @ Y5 )
| ( Y0 @ Y2 @ Y4 @ Y5 ) ) ) ) ) ) )
& ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( Y1
@ ^ [Y3: $i] : $true
@ ^ [Y3: $i] : $false
@ Y2 )
| ( Y0
@ ^ [Y3: $i] : $true
@ ^ [Y3: $i] : $false
@ Y2 ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o] :
~ ( ??
@ ^ [Y0: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y1 @ Y2 )
| ( X2 @ Y1 @ Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i > $o] :
( ( ( !!
@ ^ [Y4: $i] :
( ( Y0 @ Y2 @ Y3 @ Y4 )
| ( X2 @ Y2 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: $i] :
( ( Y0 @ Y1 @ Y2 @ Y4 )
| ( X2 @ Y1 @ Y2 @ Y4 ) ) ) )
=> ( !!
@ ^ [Y4: $i] :
( ( Y0 @ Y1 @ Y3 @ Y4 )
| ( X2 @ Y1 @ Y3 @ Y4 ) ) ) ) ) ) )
& ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( Y0
@ ^ [Y2: $i] : $true
@ ^ [Y2: $i] : $false
@ Y1 )
| ( X2
@ ^ [Y2: $i] : $true
@ ^ [Y2: $i] : $false
@ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o] :
~ ( ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( X4 @ Y0 @ Y0 @ Y1 )
| ( X2 @ Y0 @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y1 @ Y2 @ Y3 )
| ( X2 @ Y1 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y1 @ Y3 )
| ( X2 @ Y0 @ Y1 @ Y3 ) ) ) )
=> ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y2 @ Y3 )
| ( X2 @ Y0 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( X4
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 )
| ( X2
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( X4 @ Y0 @ Y0 @ Y1 )
| ( X2 @ Y0 @ Y0 @ Y1 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y1 @ Y2 @ Y3 )
| ( X2 @ Y1 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y1 @ Y3 )
| ( X2 @ Y0 @ Y1 @ Y3 ) ) ) )
=> ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y2 @ Y3 )
| ( X2 @ Y0 @ Y2 @ Y3 ) ) ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( X4
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 )
| ( X2
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( X4
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 )
| ( X2
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y1 @ Y2 @ Y3 )
| ( X2 @ Y1 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y1 @ Y3 )
| ( X2 @ Y0 @ Y1 @ Y3 ) ) ) )
=> ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y2 @ Y3 )
| ( X2 @ Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ~ ( ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) )
| ( X2 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y1 @ Y2 @ Y3 )
| ( X2 @ Y1 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y1 @ Y3 )
| ( X2 @ Y0 @ Y1 @ Y3 ) ) ) )
=> ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y2 @ Y3 )
| ( X2 @ Y0 @ Y2 @ Y3 ) ) ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( X4
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 )
| ( X2
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) )
| ( !!
@ ^ [Y0: $i] :
( ( X4
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 )
| ( X2
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y1 @ Y2 @ Y3 )
| ( X2 @ Y1 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y1 @ Y3 )
| ( X2 @ Y0 @ Y1 @ Y3 ) ) ) )
=> ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y2 @ Y3 )
| ( X2 @ Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl9,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y1 @ Y2 @ Y3 )
| ( X2 @ Y1 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y1 @ Y3 )
| ( X2 @ Y0 @ Y1 @ Y3 ) ) ) )
=> ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y2 @ Y3 )
| ( X2 @ Y0 @ Y2 @ Y3 ) ) ) ) ) ) )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y1 @ Y2 @ Y3 )
| ( X2 @ Y1 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y1 @ Y3 )
| ( X2 @ Y0 @ Y1 @ Y3 ) ) ) )
=> ( !!
@ ^ [Y3: $i] :
( ( X4 @ Y0 @ Y2 @ Y3 )
| ( X2 @ Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( X4 @ Y0 @ Y1 @ Y2 )
| ( X2 @ Y0 @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: $i] :
( ( X4 @ ( '#sk349' @ X2 @ X4 ) @ Y0 @ Y2 )
| ( X2 @ ( '#sk349' @ X2 @ X4 ) @ Y0 @ Y2 ) ) ) )
=> ( !!
@ ^ [Y2: $i] :
( ( X4 @ ( '#sk349' @ X2 @ X4 ) @ Y1 @ Y2 )
| ( X2 @ ( '#sk349' @ X2 @ X4 ) @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl15,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( X4 @ ( '#sk442' @ X2 @ X4 ) @ Y0 @ Y1 )
| ( X2 @ ( '#sk442' @ X2 @ X4 ) @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( X4 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ Y1 )
| ( X2 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( X4 @ ( '#sk349' @ X2 @ X4 ) @ Y0 @ Y1 )
| ( X2 @ ( '#sk349' @ X2 @ X4 ) @ Y0 @ Y1 ) ) ) ) )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl17,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( ( ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk442' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk442' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ Y0 ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ Y0 ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ Y0 ) ) ) )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl20,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ Y0 ) ) )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl25,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( ( X4 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ ( '#sk958' @ X2 @ X4 ) )
| ( X2 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ ( '#sk958' @ X2 @ X4 ) ) )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl31,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( X4 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ ( '#sk958' @ X2 @ X4 ) )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl6286,plain,
! [X7: $i] : ( '#l_lift104293' @ X7 ),
define([status(thm)]) ).
thf(zip_derived_cl19,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ( ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk442' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk442' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ Y0 ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ Y0 ) ) ) )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl23,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk442' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk442' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ Y0 ) ) )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl29,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i,X8: $i] :
( ( X4 @ ( '#sk442' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ X8 )
| ( X2 @ ( '#sk442' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ X8 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl37,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i,X8: $i] :
( ( X4 @ ( '#sk442' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ X8 )
| ( X2 @ ( '#sk442' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ X8 )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl2724,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ ( '#sk442'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk575'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 )
| ( X1
@ ( '#sk442'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk575'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl2794,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ( '#sk442'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk575'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2724]) ).
thf(zip_derived_cl2795,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ( X1
@ ( '#sk442'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk575'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2794]) ).
thf(zip_derived_cl24,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ Y0 ) ) )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl30,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i,X8: $i] :
( ( X4 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ X8 )
| ( X2 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ X8 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl38,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i,X8: $i] :
( ( X4 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ X8 )
| ( X2 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ X8 )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl4690,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X2 )
| ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X2 )
| ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ( '#sk349'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk442'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl4775,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X2 )
| ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ( '#sk349'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk442'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl4690]) ).
thf(zip_derived_cl4776,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ( X1
@ ( '#sk349'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk442'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X0 )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X2 )
| ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4775]) ).
thf(zip_derived_cl6296,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6296_001,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6286_002,plain,
! [X7: $i] : ( '#l_lift104293' @ X7 ),
define([status(thm)]) ).
thf(zip_derived_cl31_003,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( X4 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ ( '#sk958' @ X2 @ X4 ) )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl6287,plain,
! [X8: $i] :
~ ( '#l_lift104294' @ X8 ),
define([status(thm)]) ).
thf(zip_derived_cl6296_004,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6296_005,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6296_006,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6304,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ( X1 @ ( '#sk442' @ '#l_lift104295' @ X1 ) @ ( '#sk575' @ '#l_lift104295' @ X1 ) @ X2 )
| ( X1 @ '#l_lift104293' @ '#l_lift104294' @ X0 )
| ~ ( X1 @ ( '#sk61' @ '#l_lift104295' @ X1 ) @ ( '#sk61' @ '#l_lift104295' @ X1 ) @ ( '#sk108' @ '#l_lift104295' @ X1 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl2795,zip_derived_cl6296,zip_derived_cl6296,zip_derived_cl6286,zip_derived_cl6287,zip_derived_cl6296,zip_derived_cl6296,zip_derived_cl6296]) ).
thf(zip_derived_cl6287_007,plain,
! [X8: $i] :
~ ( '#l_lift104294' @ X8 ),
define([status(thm)]) ).
thf(zip_derived_cl31_008,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( X4 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk575' @ X2 @ X4 ) @ ( '#sk958' @ X2 @ X4 ) )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl111,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: $i] :
( ~ ( X0
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X0 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X0 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X0 ) )
| ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X1 )
| ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X1 )
| ~ ( X0
@ ( '#sk349'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X0 )
@ ( '#sk575'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X0 )
@ ( '#sk958'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X0 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl154,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: $i] :
( ~ ( X0
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X0 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X0 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X0 ) )
| ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X1 )
| ~ ( X0
@ ( '#sk349'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X0 )
@ ( '#sk575'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X0 )
@ ( '#sk958'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl6296_009,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6296_010,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6296_011,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6286_012,plain,
! [X7: $i] : ( '#l_lift104293' @ X7 ),
define([status(thm)]) ).
thf(zip_derived_cl6287_013,plain,
! [X8: $i] :
~ ( '#l_lift104294' @ X8 ),
define([status(thm)]) ).
thf(zip_derived_cl6296_014,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6296_015,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6296_016,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6312,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $i > $o,X1: $i] :
( ~ ( X0 @ ( '#sk61' @ '#l_lift104295' @ X0 ) @ ( '#sk61' @ '#l_lift104295' @ X0 ) @ ( '#sk108' @ '#l_lift104295' @ X0 ) )
| ( X0 @ '#l_lift104293' @ '#l_lift104294' @ X1 )
| ~ ( X0 @ ( '#sk349' @ '#l_lift104295' @ X0 ) @ ( '#sk575' @ '#l_lift104295' @ X0 ) @ ( '#sk958' @ '#l_lift104295' @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl154,zip_derived_cl6296,zip_derived_cl6296,zip_derived_cl6296,zip_derived_cl6286,zip_derived_cl6287,zip_derived_cl6296,zip_derived_cl6296,zip_derived_cl6296]) ).
thf(zip_derived_cl38_017,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i,X8: $i] :
( ( X4 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ X8 )
| ( X2 @ ( '#sk349' @ X2 @ X4 ) @ ( '#sk442' @ X2 @ X4 ) @ X8 )
| ~ ( X4 @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk61' @ X2 @ X4 ) @ ( '#sk108' @ X2 @ X4 ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl4664,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ ( '#sk349'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk442'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 )
| ( X1
@ ( '#sk349'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk442'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl4734,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ( '#sk349'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk442'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl4664]) ).
thf(zip_derived_cl4735,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ( X1
@ ( '#sk349'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk442'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ~ ( X1
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk61'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk108'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4734]) ).
thf(zip_derived_cl6296_018,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6296_019,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6286_020,plain,
! [X7: $i] : ( '#l_lift104293' @ X7 ),
define([status(thm)]) ).
thf(zip_derived_cl6287_021,plain,
! [X8: $i] :
~ ( '#l_lift104294' @ X8 ),
define([status(thm)]) ).
thf(zip_derived_cl6296_022,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6296_023,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6296_024,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift104295' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6300,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ( X1 @ ( '#sk349' @ '#l_lift104295' @ X1 ) @ ( '#sk442' @ '#l_lift104295' @ X1 ) @ X2 )
| ( X1 @ '#l_lift104293' @ '#l_lift104294' @ X0 )
| ~ ( X1 @ ( '#sk61' @ '#l_lift104295' @ X1 ) @ ( '#sk61' @ '#l_lift104295' @ X1 ) @ ( '#sk108' @ '#l_lift104295' @ X1 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl4735,zip_derived_cl6296,zip_derived_cl6296,zip_derived_cl6286,zip_derived_cl6287,zip_derived_cl6296,zip_derived_cl6296,zip_derived_cl6296]) ).
thf(zip_derived_cl6313,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl6286,zip_derived_cl6304,zip_derived_cl6287,zip_derived_cl6312,zip_derived_cl6300]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV101^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1psnEvngZh true
% 0.18/0.36 % Computer : n013.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Thu Aug 24 03:40:02 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.24/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.24/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.24/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.24/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.24/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.24/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.24/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 48.96/6.94 % Solved by lams/20_acsne_simpl.sh.
% 48.96/6.94 % done 39 iterations in 6.088s
% 48.96/6.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 48.96/6.94 % SZS output start Refutation
% See solution above
% 48.96/6.94
% 48.96/6.94
% 48.96/6.94 % Terminating...
% 49.29/6.99 % Runner terminated.
% 49.29/7.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------