%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV064^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mxpGG822MF true
% Computer : n002.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 Oct 2 04:57:06 PM UTC 2025
% Result : Theorem 53.14s 7.30s
% Output : Refutation 53.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 25
% Syntax : Number of formulae : 66 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 548 ( 0 equ; 3 cnn)
% Maximal formula atoms : 21 ( 8 avg)
% Number of connectives : 1773 ( 89 ~; 172 |; 25 &;1382 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 586 ( 586 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 9 usr; 5 con; 0-3 aty)
% ( 88 !!; 3 ??; 0 @@+; 0 @@-)
% Number of variables : 668 ( 478 ^; 186 !; 4 ?; 668 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk334_type',type,
'#sk334': ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf('#sk850_type',type,
'#sk850': ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i ).
thf('#sk150_type',type,
'#sk150': ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i ).
thf('#sk105_type',type,
'#sk105': ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf('#l_lift109237_type',type,
'#l_lift109237': $i > $o ).
thf('#l_lift109238_type',type,
'#l_lift109238': $i > $o ).
thf('#l_lift109239_type',type,
'#l_lift109239': ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk241_type',type,
'#sk241': ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf('#sk467_type',type,
'#sk467': ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > ( ( $i > $o ) > ( $i > $o ) > $i > $o ) > $i > $o ).
thf(cTHM120C_pme,conjecture,
? [Xr_28: ( $i > $o ) > ( $i > $o ) > $i > $o,Xr_27: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ~ ! [Xw_2: $i] :
( ( Xr_27
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false
@ Xw_2 )
| ( Xr_28
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false
@ Xw_2 ) )
& ! [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 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [Xr_28: ( $i > $o ) > ( $i > $o ) > $i > $o,Xr_27: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ~ ! [Xw_2: $i] :
( ( Xr_27
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false
@ Xw_2 )
| ( Xr_28
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false
@ Xw_2 ) )
& ! [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 ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM120C_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ??
@ ^ [Y1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( Y1
@ ^ [Y3: $i] : $true
@ ^ [Y3: $i] : $false
@ Y2 )
| ( Y0
@ ^ [Y3: $i] : $true
@ ^ [Y3: $i] : $false
@ Y2 ) ) ) )
& ( !!
@ ^ [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 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o] :
~ ( ??
@ ^ [Y0: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( Y0
@ ^ [Y2: $i] : $true
@ ^ [Y2: $i] : $false
@ Y1 )
| ( X2
@ ^ [Y2: $i] : $true
@ ^ [Y2: $i] : $false
@ Y1 ) ) ) )
& ( !!
@ ^ [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 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o] :
~ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( X4
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 )
| ( X2
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 ) ) ) )
& ( !!
@ ^ [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 ) ) ) ) ) ) ) ),
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] :
( ( X4
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 )
| ( X2
@ ^ [Y1: $i] : $true
@ ^ [Y1: $i] : $false
@ Y0 ) ) )
| ~ ( !!
@ ^ [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 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,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 ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( X4 @ Y0 @ Y0 @ Y1 )
| ( X2 @ Y0 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,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] :
( ( 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 ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ 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 ) ) ) ) ) ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
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,X6: $i] :
( ~ ( ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) )
| ( X2 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) ) )
| ( 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 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ 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 ) ) ) ) ) ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl10,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 @ ( '#sk241' @ X2 @ X4 ) @ Y0 @ Y2 )
| ( X2 @ ( '#sk241' @ X2 @ X4 ) @ Y0 @ Y2 ) ) ) )
=> ( !!
@ ^ [Y2: $i] :
( ( X4 @ ( '#sk241' @ X2 @ X4 ) @ Y1 @ Y2 )
| ( X2 @ ( '#sk241' @ X2 @ X4 ) @ Y1 @ Y2 ) ) ) ) ) )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( X4 @ ( '#sk334' @ X2 @ X4 ) @ Y0 @ Y1 )
| ( X2 @ ( '#sk334' @ X2 @ X4 ) @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( X4 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ Y1 )
| ( X2 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( X4 @ ( '#sk241' @ X2 @ X4 ) @ Y0 @ Y1 )
| ( X2 @ ( '#sk241' @ X2 @ X4 ) @ Y0 @ Y1 ) ) ) ) )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ 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_cl10]) ).
thf(zip_derived_cl14,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( ( ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk334' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk334' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ Y0 ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ Y0 ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ Y0 ) ) ) )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ Y0 ) ) )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl22,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( ( X4 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ ( '#sk850' @ X2 @ X4 ) )
| ( X2 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ ( '#sk850' @ X2 @ X4 ) ) )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl28,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( X4 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ ( '#sk850' @ X2 @ X4 ) )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ 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_cl22]) ).
thf(zip_derived_cl6978,plain,
! [X7: $i] : ( '#l_lift109237' @ X7 ),
define([status(thm)]) ).
thf(zip_derived_cl16,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ( ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk334' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk334' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ Y0 ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ Y0 ) ) ) )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk334' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk334' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ Y0 ) ) )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl26,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i,X8: $i] :
( ( X4 @ ( '#sk334' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ X8 )
| ( X2 @ ( '#sk334' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ X8 )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl34,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i,X8: $i] :
( ( X4 @ ( '#sk334' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ X8 )
| ( X2 @ ( '#sk334' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ X8 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl2716,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ ( '#sk334'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk467'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 )
| ( X1
@ ( '#sk334'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk467'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl2788,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ( X1
@ ( '#sk334'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk467'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2716]) ).
thf(zip_derived_cl2789,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ( X1
@ ( '#sk334'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk467'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2788]) ).
thf(zip_derived_cl21,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( X4 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ Y0 )
| ( X2 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ Y0 ) ) )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl27,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i,X8: $i] :
( ( X4 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ X8 )
| ( X2 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ X8 )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl35,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i,X8: $i] :
( ( X4 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ X8 )
| ( X2 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ X8 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl4683,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X2 )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X2 )
| ( X1
@ ( '#sk241'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk334'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl4767,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X2 )
| ( X1
@ ( '#sk241'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk334'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl4683]) ).
thf(zip_derived_cl4768,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ( X1
@ ( '#sk241'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk334'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X0 )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X2 )
| ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4767]) ).
thf(zip_derived_cl6988,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6988_001,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6978_002,plain,
! [X7: $i] : ( '#l_lift109237' @ X7 ),
define([status(thm)]) ).
thf(zip_derived_cl28_003,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( X4 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ ( '#sk850' @ X2 @ X4 ) )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ 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_cl22]) ).
thf(zip_derived_cl6979,plain,
! [X8: $i] :
~ ( '#l_lift109238' @ X8 ),
define([status(thm)]) ).
thf(zip_derived_cl6988_004,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6988_005,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6988_006,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6994,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ( X1 @ ( '#sk334' @ '#l_lift109239' @ X1 ) @ ( '#sk467' @ '#l_lift109239' @ X1 ) @ X2 )
| ( X1 @ '#l_lift109237' @ '#l_lift109238' @ X0 )
| ~ ( X1 @ ( '#sk105' @ '#l_lift109239' @ X1 ) @ ( '#sk105' @ '#l_lift109239' @ X1 ) @ ( '#sk150' @ '#l_lift109239' @ X1 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl2789,zip_derived_cl6988,zip_derived_cl6988,zip_derived_cl6978,zip_derived_cl6979,zip_derived_cl6988,zip_derived_cl6988,zip_derived_cl6988]) ).
thf(zip_derived_cl6979_007,plain,
! [X8: $i] :
~ ( '#l_lift109238' @ X8 ),
define([status(thm)]) ).
thf(zip_derived_cl28_008,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i] :
( ~ ( X4 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk467' @ X2 @ X4 ) @ ( '#sk850' @ X2 @ X4 ) )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ 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_cl22]) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ~ ( X1
@ ( '#sk241'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk467'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk850'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl153,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ~ ( X1
@ ( '#sk241'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk467'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk850'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl6988_009,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6988_010,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6988_011,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6978_012,plain,
! [X7: $i] : ( '#l_lift109237' @ X7 ),
define([status(thm)]) ).
thf(zip_derived_cl6979_013,plain,
! [X8: $i] :
~ ( '#l_lift109238' @ X8 ),
define([status(thm)]) ).
thf(zip_derived_cl6988_014,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6988_015,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6988_016,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl7004,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
( ~ ( X1 @ ( '#sk241' @ '#l_lift109239' @ X1 ) @ ( '#sk467' @ '#l_lift109239' @ X1 ) @ ( '#sk850' @ '#l_lift109239' @ X1 ) )
| ( X1 @ '#l_lift109237' @ '#l_lift109238' @ X0 )
| ~ ( X1 @ ( '#sk105' @ '#l_lift109239' @ X1 ) @ ( '#sk105' @ '#l_lift109239' @ X1 ) @ ( '#sk150' @ '#l_lift109239' @ X1 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl153,zip_derived_cl6988,zip_derived_cl6988,zip_derived_cl6988,zip_derived_cl6978,zip_derived_cl6979,zip_derived_cl6988,zip_derived_cl6988,zip_derived_cl6988]) ).
thf(zip_derived_cl35_017,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o,X4: ( $i > $o ) > ( $i > $o ) > $i > $o,X6: $i,X8: $i] :
( ( X4 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ X8 )
| ( X2 @ ( '#sk241' @ X2 @ X4 ) @ ( '#sk334' @ X2 @ X4 ) @ X8 )
| ( X4
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ( X2
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X6 )
| ~ ( X4 @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk105' @ X2 @ X4 ) @ ( '#sk150' @ X2 @ X4 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl4656,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ ( '#sk241'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk334'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 )
| ( X1
@ ( '#sk241'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk334'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl4728,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ( X1
@ ( '#sk241'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk334'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl4656]) ).
thf(zip_derived_cl4729,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ( X1
@ ( '#sk241'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk334'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ X2 )
| ( X1
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false
@ X0 )
| ~ ( X1
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk105'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 )
@ ( '#sk150'
@ ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] : $false
@ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4728]) ).
thf(zip_derived_cl6988_018,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6988_019,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6978_020,plain,
! [X7: $i] : ( '#l_lift109237' @ X7 ),
define([status(thm)]) ).
thf(zip_derived_cl6979_021,plain,
! [X8: $i] :
~ ( '#l_lift109238' @ X8 ),
define([status(thm)]) ).
thf(zip_derived_cl6988_022,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6988_023,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6988_024,plain,
! [X3: $i > $o,X4: $i > $o,X5: $i] :
~ ( '#l_lift109239' @ X3 @ X4 @ X5 ),
define([status(thm)]) ).
thf(zip_derived_cl6990,plain,
! [X0: $i,X1: ( $i > $o ) > ( $i > $o ) > $i > $o,X2: $i] :
( ( X1 @ ( '#sk241' @ '#l_lift109239' @ X1 ) @ ( '#sk334' @ '#l_lift109239' @ X1 ) @ X2 )
| ( X1 @ '#l_lift109237' @ '#l_lift109238' @ X0 )
| ~ ( X1 @ ( '#sk105' @ '#l_lift109239' @ X1 ) @ ( '#sk105' @ '#l_lift109239' @ X1 ) @ ( '#sk150' @ '#l_lift109239' @ X1 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl4729,zip_derived_cl6988,zip_derived_cl6988,zip_derived_cl6978,zip_derived_cl6979,zip_derived_cl6988,zip_derived_cl6988,zip_derived_cl6988]) ).
thf(zip_derived_cl7005,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl6978,zip_derived_cl6994,zip_derived_cl6979,zip_derived_cl7004,zip_derived_cl6990]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV064^5 : TPTP v9.2.0. Released v4.0.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mxpGG822MF true
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 15:37:08 EDT 2025
% 0.21/0.35 % CPUTime :
% 0.21/0.35 % Running portfolio for 300 s
% 0.21/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in HO mode
% 0.58/0.66 % Total configuration time : 828
% 0.58/0.66 % Estimated wc time : 1656
% 0.58/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 53.14/7.30 % Solved by lams/20_acsne_simpl.sh.
% 53.14/7.30 % done 43 iterations in 6.435s
% 53.14/7.30 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 53.14/7.30 % SZS output start Refutation
% See solution above
% 53.14/7.30
% 53.14/7.30
% 53.14/7.30 % Terminating...
% 53.66/7.38 % Runner terminated.
% 53.66/7.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------