%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV031^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zV8d3D8Tcz true
% Computer : n014.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 04:57:02 PM UTC 2025
% Result : Theorem 0.52s 0.89s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 95 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 656 ( 0 equ; 0 cnn)
% Maximal formula atoms : 38 ( 6 avg)
% Number of connectives : 1884 ( 125 ~; 116 |; 52 &;1129 @)
% ( 0 <=>; 206 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 10 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 206 ( 206 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 7 con; 0-3 aty)
% ( 256 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 353 ( 256 ^; 97 !; 0 ?; 353 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk49_type',type,
'#sk49': a ).
thf('#sk38_type',type,
'#sk38': a > b ).
thf('#sk47_type',type,
'#sk47': a > b ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf('#form37_type',type,
'#form37': $o ).
thf('#form45_type',type,
'#form45': $o ).
thf('#sk5_type',type,
'#sk5': a > b ).
thf('#sk46_type',type,
'#sk46': a > b ).
thf('#sk20_type',type,
'#sk20': a ).
thf('#sk3_type',type,
'#sk3': a > b ).
thf(b_type,type,
b: $tType ).
thf('#sk48_type',type,
'#sk48': a ).
thf('#sk4_type',type,
'#sk4': a > b ).
thf('#sk2_type',type,
'#sk2': a > ( a > b ) > ( a > b ) > $o ).
thf(cTHM512_pme,conjecture,
! [Xp: a > $o,Xe: a > ( a > b ) > ( a > b ) > $o] :
( ! [Xx: a] :
( ( Xp @ Xx )
=> ( ! [Xx0: a > b,Xy: a > b,Xz: a > b] :
( ( ( Xe @ Xx @ Xy @ Xz )
& ( Xe @ Xx @ Xx0 @ Xy ) )
=> ( Xe @ Xx @ Xx0 @ Xz ) )
& ! [Xx0: a > b,Xy: a > b] :
( ( Xe @ Xx @ Xx0 @ Xy )
=> ( Xe @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: a > b] : ( Xe @ Xx @ Xx0 @ Xx0 ) ) )
=> ( ! [Xx: a > b,Xy: a > b,Xz: a > b] :
( ( ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ( Xe @ Xx0 @ Xy @ Xz ) )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ( Xe @ Xx0 @ Xx @ Xy ) ) )
=> ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ( Xe @ Xx0 @ Xx @ Xz ) ) )
& ! [Xx: a > b,Xy: a > b] :
( ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ( Xe @ Xx0 @ Xx @ Xy ) )
=> ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ( Xe @ Xx0 @ Xy @ Xx ) ) )
& ! [Xx: a > b,Xx0: a] :
( ( Xp @ Xx0 )
=> ( Xe @ Xx0 @ Xx @ Xx ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xp: a > $o,Xe: a > ( a > b ) > ( a > b ) > $o] :
( ! [Xx: a] :
( ( Xp @ Xx )
=> ( ! [Xx0: a > b,Xy: a > b,Xz: a > b] :
( ( ( Xe @ Xx @ Xy @ Xz )
& ( Xe @ Xx @ Xx0 @ Xy ) )
=> ( Xe @ Xx @ Xx0 @ Xz ) )
& ! [Xx0: a > b,Xy: a > b] :
( ( Xe @ Xx @ Xx0 @ Xy )
=> ( Xe @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: a > b] : ( Xe @ Xx @ Xx0 @ Xx0 ) ) )
=> ( ! [Xx: a > b,Xy: a > b,Xz: a > b] :
( ( ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ( Xe @ Xx0 @ Xy @ Xz ) )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ( Xe @ Xx0 @ Xx @ Xy ) ) )
=> ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ( Xe @ Xx0 @ Xx @ Xz ) ) )
& ! [Xx: a > b,Xy: a > b] :
( ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ( Xe @ Xx0 @ Xx @ Xy ) )
=> ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ( Xe @ Xx0 @ Xy @ Xx ) ) )
& ! [Xx: a > b,Xx0: a] :
( ( Xp @ Xx0 )
=> ( Xe @ Xx0 @ Xx @ Xx ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM512_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > ( a > b ) > ( a > b ) > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( ( !!
@ ^ [Y3: a > b] :
( !!
@ ^ [Y4: a > b] :
( !!
@ ^ [Y5: a > b] :
( ( ( Y1 @ Y2 @ Y4 @ Y5 )
& ( Y1 @ Y2 @ Y3 @ Y4 ) )
=> ( Y1 @ Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a > b] :
( !!
@ ^ [Y4: a > b] :
( ( Y1 @ Y2 @ Y3 @ Y4 )
=> ( Y1 @ Y2 @ Y4 @ Y3 ) ) ) )
& ( !!
@ ^ [Y3: a > b] : ( Y1 @ Y2 @ Y3 @ Y3 ) ) ) ) )
=> ( ( !!
@ ^ [Y2: a > b] :
( !!
@ ^ [Y3: a > b] :
( !!
@ ^ [Y4: a > b] :
( ( ( !!
@ ^ [Y5: a] :
( ( Y0 @ Y5 )
=> ( Y1 @ Y5 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y5: a] :
( ( Y0 @ Y5 )
=> ( Y1 @ Y5 @ Y2 @ Y3 ) ) ) )
=> ( !!
@ ^ [Y5: a] :
( ( Y0 @ Y5 )
=> ( Y1 @ Y5 @ Y2 @ Y4 ) ) ) ) ) ) )
& ( !!
@ ^ [Y2: a > b] :
( !!
@ ^ [Y3: a > b] :
( ( !!
@ ^ [Y4: a] :
( ( Y0 @ Y4 )
=> ( Y1 @ Y4 @ Y2 @ Y3 ) ) )
=> ( !!
@ ^ [Y4: a] :
( ( Y0 @ Y4 )
=> ( Y1 @ Y4 @ Y3 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a > b] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1 @ Y3 @ Y2 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > ( a > b ) > ( a > b ) > $o] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( ( !!
@ ^ [Y2: a > b] :
( !!
@ ^ [Y3: a > b] :
( !!
@ ^ [Y4: a > b] :
( ( ( Y0 @ Y1 @ Y3 @ Y4 )
& ( Y0 @ Y1 @ Y2 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a > b] :
( !!
@ ^ [Y3: a > b] :
( ( Y0 @ Y1 @ Y2 @ Y3 )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a > b] : ( Y0 @ Y1 @ Y2 @ Y2 ) ) ) ) )
=> ( ( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( !!
@ ^ [Y3: a > b] :
( ( ( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y4 )
=> ( Y0 @ Y4 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y4 )
=> ( Y0 @ Y4 @ Y1 @ Y2 ) ) ) )
=> ( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y4 )
=> ( Y0 @ Y4 @ Y1 @ Y3 ) ) ) ) ) ) )
& ( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( Y0 @ Y3 @ Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( Y0 @ Y3 @ Y2 @ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y0 @ Y2 @ Y1 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( !!
@ ^ [Y3: a > b] :
( ( ( '#sk2' @ Y0 @ Y2 @ Y3 )
& ( '#sk2' @ Y0 @ Y1 @ Y2 ) )
=> ( '#sk2' @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( ( '#sk2' @ Y0 @ Y1 @ Y2 )
=> ( '#sk2' @ Y0 @ Y2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a > b] : ( '#sk2' @ Y0 @ Y1 @ Y1 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( ( ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( '#sk2' @ Y3 @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( '#sk2' @ Y3 @ Y0 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( '#sk2' @ Y3 @ Y0 @ Y2 ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
~ ( ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( ( ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( '#sk2' @ Y3 @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( '#sk2' @ Y3 @ Y0 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( '#sk2' @ Y3 @ Y0 @ Y2 ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( ( ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( '#sk2' @ Y3 @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( '#sk2' @ Y3 @ Y0 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( '#sk2' @ Y3 @ Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ '#sk3' @ Y0 ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ '#sk3' @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
( ~ ( !!
@ ^ [Y0: a > b] :
( ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ '#sk4' @ Y0 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ '#sk3' @ '#sk4' ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ '#sk3' @ Y0 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
( ~ ( ( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 @ '#sk4' @ '#sk5' ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 @ '#sk3' @ '#sk4' ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 @ '#sk3' @ '#sk5' ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl20,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 @ '#sk3' @ '#sk5' ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl25,plain,
( ~ ( ( '#sk1' @ '#sk20' )
=> ( '#sk2' @ '#sk20' @ '#sk3' @ '#sk5' ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl30,plain,
( ~ ( '#sk2' @ '#sk20' @ '#sk3' @ '#sk5' )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl19,plain,
( ( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 @ '#sk4' @ '#sk5' ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 @ '#sk3' @ '#sk4' ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl23,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 @ '#sk4' @ '#sk5' ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl27,plain,
! [X2: a] :
( ( ( '#sk1' @ X2 )
=> ( '#sk2' @ X2 @ '#sk4' @ '#sk5' ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl32,plain,
( '#form37'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl37,plain,
( ~ '#form37'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) )
| ~ ( '#sk2' @ '#sk20' @ '#sk3' @ '#sk5' ) ),
inference(renaming,[status(thm)],[zip_derived_cl30,zip_derived_cl32]) ).
thf(zip_derived_cl27_001,plain,
! [X2: a] :
( ( ( '#sk1' @ X2 )
=> ( '#sk2' @ X2 @ '#sk4' @ '#sk5' ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl32_002,plain,
( '#form37'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl34,plain,
! [X2: a] :
( ~ '#form37'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) )
| ( ( '#sk1' @ X2 )
=> ( '#sk2' @ X2 @ '#sk4' @ '#sk5' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl27,zip_derived_cl32]) ).
thf(zip_derived_cl38,plain,
( '#form45'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl44,plain,
( ~ '#form45'
| ~ ( '#sk2' @ '#sk20' @ '#sk3' @ '#sk5' )
| ~ '#form37' ),
inference(renaming,[status(thm)],[zip_derived_cl37,zip_derived_cl38]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( !!
@ ^ [Y3: a > b] :
( ( ( '#sk2' @ Y0 @ Y2 @ Y3 )
& ( '#sk2' @ Y0 @ Y1 @ Y2 ) )
=> ( '#sk2' @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( ( '#sk2' @ Y0 @ Y1 @ Y2 )
=> ( '#sk2' @ Y0 @ Y2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a > b] : ( '#sk2' @ Y0 @ Y1 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
! [X2: a] :
( ( '#sk1' @ X2 )
=> ( ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( ( ( '#sk2' @ X2 @ Y1 @ Y2 )
& ( '#sk2' @ X2 @ Y0 @ Y1 ) )
=> ( '#sk2' @ X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( '#sk2' @ X2 @ Y0 @ Y1 )
=> ( '#sk2' @ X2 @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a > b] : ( '#sk2' @ X2 @ Y0 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( ( ( '#sk2' @ X2 @ Y1 @ Y2 )
& ( '#sk2' @ X2 @ Y0 @ Y1 ) )
=> ( '#sk2' @ X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( '#sk2' @ X2 @ Y0 @ Y1 )
=> ( '#sk2' @ X2 @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a > b] : ( '#sk2' @ X2 @ Y0 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a > b] : ( '#sk2' @ X2 @ Y0 @ Y0 ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
! [X2: a,X4: a > b] :
( ( '#sk2' @ X2 @ X4 @ X4 )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl38_003,plain,
( '#form45'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl39,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 @ '#sk46' @ '#sk46' ) ) )
| '#form45' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl46,plain,
( ~ ( ( '#sk1' @ '#sk48' )
=> ( '#sk2' @ '#sk48' @ '#sk46' @ '#sk46' ) )
| '#form45' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl51,plain,
( ~ ( '#sk2' @ '#sk48' @ '#sk46' @ '#sk46' )
| '#form45' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl57,plain,
( ~ ( '#sk1' @ '#sk48' )
| '#form45' ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl51]) ).
thf(zip_derived_cl50,plain,
( ( '#sk1' @ '#sk48' )
| '#form45' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl61,plain,
'#form45',
inference(clc,[status(thm)],[zip_derived_cl57,zip_derived_cl50]) ).
thf(zip_derived_cl63,plain,
( ~ ( '#sk2' @ '#sk20' @ '#sk3' @ '#sk5' )
| ~ '#form37' ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl61]) ).
thf(zip_derived_cl32_004,plain,
( '#form37'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl33,plain,
( ~ ( !!
@ ^ [Y0: a > b] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ '#sk38' @ Y0 ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ '#sk38' ) ) ) ) )
| '#form37' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl41,plain,
( ~ ( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 @ '#sk38' @ '#sk47' ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 @ '#sk47' @ '#sk38' ) ) ) )
| '#form37' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl48,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 @ '#sk47' @ '#sk38' ) ) )
| '#form37' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl53,plain,
( ~ ( ( '#sk1' @ '#sk49' )
=> ( '#sk2' @ '#sk49' @ '#sk47' @ '#sk38' ) )
| '#form37' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl56,plain,
( ~ ( '#sk2' @ '#sk49' @ '#sk47' @ '#sk38' )
| '#form37' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl47,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 @ '#sk38' @ '#sk47' ) ) )
| '#form37' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl52,plain,
! [X2: a] :
( ( ( '#sk1' @ X2 )
=> ( '#sk2' @ X2 @ '#sk38' @ '#sk47' ) )
| '#form37' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl54,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk2' @ X2 @ '#sk38' @ '#sk47' )
| '#form37' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl10,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( '#sk2' @ X2 @ Y0 @ Y1 )
=> ( '#sk2' @ X2 @ Y1 @ Y0 ) ) ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
! [X2: a,X4: a > b] :
( ( !!
@ ^ [Y0: a > b] :
( ( '#sk2' @ X2 @ X4 @ Y0 )
=> ( '#sk2' @ X2 @ Y0 @ X4 ) ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl18,plain,
! [X2: a,X4: a > b,X6: a > b] :
( ( ( '#sk2' @ X2 @ X4 @ X6 )
=> ( '#sk2' @ X2 @ X6 @ X4 ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl22,plain,
! [X2: a,X4: a > b,X6: a > b] :
( ~ ( '#sk2' @ X2 @ X4 @ X6 )
| ( '#sk2' @ X2 @ X6 @ X4 )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl79,plain,
! [X0: a] :
( '#form37'
| ~ ( '#sk1' @ X0 )
| ~ ( '#sk1' @ X0 )
| ( '#sk2' @ X0 @ '#sk47' @ '#sk38' ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl22]) ).
thf(zip_derived_cl81,plain,
! [X0: a] :
( ( '#sk2' @ X0 @ '#sk47' @ '#sk38' )
| ~ ( '#sk1' @ X0 )
| '#form37' ),
inference(simplify,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl85,plain,
( '#form37'
| '#form37'
| ~ ( '#sk1' @ '#sk49' ) ),
inference('sup+',[status(thm)],[zip_derived_cl56,zip_derived_cl81]) ).
thf(zip_derived_cl89,plain,
( ~ ( '#sk1' @ '#sk49' )
| '#form37' ),
inference(simplify,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl55,plain,
( ( '#sk1' @ '#sk49' )
| '#form37' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl95,plain,
'#form37',
inference(clc,[status(thm)],[zip_derived_cl89,zip_derived_cl55]) ).
thf(zip_derived_cl97,plain,
~ ( '#sk2' @ '#sk20' @ '#sk3' @ '#sk5' ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl95]) ).
thf(zip_derived_cl24,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 @ '#sk3' @ '#sk4' ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl28,plain,
! [X2: a] :
( ( ( '#sk1' @ X2 )
=> ( '#sk2' @ X2 @ '#sk3' @ '#sk4' ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl32_005,plain,
( '#form37'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl35,plain,
! [X2: a] :
( ~ '#form37'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) )
| ( ( '#sk1' @ X2 )
=> ( '#sk2' @ X2 @ '#sk3' @ '#sk4' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl28,zip_derived_cl32]) ).
thf(zip_derived_cl38_006,plain,
( '#form45'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl42,plain,
! [X2: a] :
( ~ '#form45'
| ( ( '#sk1' @ X2 )
=> ( '#sk2' @ X2 @ '#sk3' @ '#sk4' ) )
| ~ '#form37' ),
inference(renaming,[status(thm)],[zip_derived_cl35,zip_derived_cl38]) ).
thf(zip_derived_cl49,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk2' @ X2 @ '#sk3' @ '#sk4' )
| ~ '#form37'
| ~ '#form45' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl95_007,plain,
'#form37',
inference(clc,[status(thm)],[zip_derived_cl89,zip_derived_cl55]) ).
thf(zip_derived_cl61_008,plain,
'#form45',
inference(clc,[status(thm)],[zip_derived_cl57,zip_derived_cl50]) ).
thf(zip_derived_cl130,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk2' @ X2 @ '#sk3' @ '#sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl95,zip_derived_cl61]) ).
thf(zip_derived_cl34_009,plain,
! [X2: a] :
( ~ '#form37'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) )
| ( ( '#sk1' @ X2 )
=> ( '#sk2' @ X2 @ '#sk4' @ '#sk5' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl27,zip_derived_cl32]) ).
thf(zip_derived_cl38_010,plain,
( '#form45'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl40,plain,
! [X2: a] :
( ~ '#form45'
| ( ( '#sk1' @ X2 )
=> ( '#sk2' @ X2 @ '#sk4' @ '#sk5' ) )
| ~ '#form37' ),
inference(renaming,[status(thm)],[zip_derived_cl34,zip_derived_cl38]) ).
thf(zip_derived_cl45,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk2' @ X2 @ '#sk4' @ '#sk5' )
| ~ '#form37'
| ~ '#form45' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl61_011,plain,
'#form45',
inference(clc,[status(thm)],[zip_derived_cl57,zip_derived_cl50]) ).
thf(zip_derived_cl70,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk2' @ X2 @ '#sk4' @ '#sk5' )
| ~ '#form37' ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl61]) ).
thf(zip_derived_cl95_012,plain,
'#form37',
inference(clc,[status(thm)],[zip_derived_cl89,zip_derived_cl55]) ).
thf(zip_derived_cl98,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk2' @ X2 @ '#sk4' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl95]) ).
thf(zip_derived_cl9,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( ( ( '#sk2' @ X2 @ Y1 @ Y2 )
& ( '#sk2' @ X2 @ Y0 @ Y1 ) )
=> ( '#sk2' @ X2 @ Y0 @ Y2 ) ) ) ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: a,X4: a > b] :
( ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( ( '#sk2' @ X2 @ Y0 @ Y1 )
& ( '#sk2' @ X2 @ X4 @ Y0 ) )
=> ( '#sk2' @ X2 @ X4 @ Y1 ) ) ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl17,plain,
! [X2: a,X4: a > b,X6: a > b] :
( ( !!
@ ^ [Y0: a > b] :
( ( ( '#sk2' @ X2 @ X6 @ Y0 )
& ( '#sk2' @ X2 @ X4 @ X6 ) )
=> ( '#sk2' @ X2 @ X4 @ Y0 ) ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl21,plain,
! [X2: a,X4: a > b,X6: a > b,X8: a > b] :
( ( ( ( '#sk2' @ X2 @ X6 @ X8 )
& ( '#sk2' @ X2 @ X4 @ X6 ) )
=> ( '#sk2' @ X2 @ X4 @ X8 ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl26,plain,
! [X2: a,X4: a > b,X6: a > b,X8: a > b] :
( ~ ( ( '#sk2' @ X2 @ X6 @ X8 )
& ( '#sk2' @ X2 @ X4 @ X6 ) )
| ( '#sk2' @ X2 @ X4 @ X8 )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl31,plain,
! [X2: a,X4: a > b,X6: a > b,X8: a > b] :
( ~ ( '#sk2' @ X2 @ X6 @ X8 )
| ~ ( '#sk2' @ X2 @ X4 @ X6 )
| ~ ( '#sk1' @ X2 )
| ( '#sk2' @ X2 @ X4 @ X8 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl111,plain,
! [X0: a,X1: a > b] :
( ~ ( '#sk1' @ X0 )
| ( '#sk2' @ X0 @ X1 @ '#sk5' )
| ~ ( '#sk1' @ X0 )
| ~ ( '#sk2' @ X0 @ X1 @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl31]) ).
thf(zip_derived_cl115,plain,
! [X0: a,X1: a > b] :
( ~ ( '#sk2' @ X0 @ X1 @ '#sk4' )
| ( '#sk2' @ X0 @ X1 @ '#sk5' )
| ~ ( '#sk1' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl148,plain,
! [X0: a] :
( ~ ( '#sk1' @ X0 )
| ~ ( '#sk1' @ X0 )
| ( '#sk2' @ X0 @ '#sk3' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl115]) ).
thf(zip_derived_cl154,plain,
! [X0: a] :
( ( '#sk2' @ X0 @ '#sk3' @ '#sk5' )
| ~ ( '#sk1' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl162,plain,
~ ( '#sk1' @ '#sk20' ),
inference('sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl154]) ).
thf(zip_derived_cl29,plain,
( ( '#sk1' @ '#sk20' )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl32_013,plain,
( '#form37'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl36,plain,
( ~ '#form37'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) )
| ( '#sk1' @ '#sk20' ) ),
inference(renaming,[status(thm)],[zip_derived_cl29,zip_derived_cl32]) ).
thf(zip_derived_cl38_014,plain,
( '#form45'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl43,plain,
( ~ '#form45'
| ( '#sk1' @ '#sk20' )
| ~ '#form37' ),
inference(renaming,[status(thm)],[zip_derived_cl36,zip_derived_cl38]) ).
thf(zip_derived_cl61_015,plain,
'#form45',
inference(clc,[status(thm)],[zip_derived_cl57,zip_derived_cl50]) ).
thf(zip_derived_cl62,plain,
( ( '#sk1' @ '#sk20' )
| ~ '#form37' ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl61]) ).
thf(zip_derived_cl95_016,plain,
'#form37',
inference(clc,[status(thm)],[zip_derived_cl89,zip_derived_cl55]) ).
thf(zip_derived_cl96,plain,
'#sk1' @ '#sk20',
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl95]) ).
thf(zip_derived_cl167,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SEV031^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zV8d3D8Tcz true
% 0.12/0.36 % Computer : n014.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Oct 1 15:37:08 EDT 2025
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Running portfolio for 300 s
% 0.12/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.37 % Running in HO mode
% 0.47/0.61 % Total configuration time : 828
% 0.47/0.61 % Estimated wc time : 1656
% 0.47/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.52/0.89 % Solved by lams/30_sp5.sh.
% 0.52/0.89 % done 43 iterations in 0.090s
% 0.52/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.89 % SZS output start Refutation
% See solution above
% 0.52/0.89
% 0.52/0.89
% 0.52/0.89 % Terminating...
% 0.52/0.93 % Runner terminated.
% 0.52/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------