TSTP Solution File: SEV046^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV046^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Pgdse0zLxK true
% Computer : n019.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 19:59:24 EDT 2023
% Result : Theorem 3.28s 1.05s
% Output : Refutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 20
% Syntax : Number of formulae : 144 ( 13 unt; 14 typ; 0 def)
% Number of atoms : 846 ( 19 equ; 0 cnn)
% Maximal formula atoms : 51 ( 6 avg)
% Number of connectives : 2682 ( 124 ~; 135 |; 69 &;1796 @)
% ( 0 <=>; 216 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 9 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 109 ( 109 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 7 con; 0-3 aty)
% ( 342 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 518 ( 342 ^; 176 !; 0 ?; 518 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf('#sk9_type',type,
'#sk9': a > b ).
thf('#sk1_type',type,
'#sk1': a > a > $o ).
thf('#sk4_type',type,
'#sk4': a > b ).
thf('#form8_type',type,
'#form8': $o ).
thf('#sk11_type',type,
'#sk11': a ).
thf('#sk5_type',type,
'#sk5': a > b ).
thf('#sk6_type',type,
'#sk6': a ).
thf('#sk12_type',type,
'#sk12': a ).
thf('#sk2_type',type,
'#sk2': a > b > b > $o ).
thf('#sk10_type',type,
'#sk10': a > b ).
thf('#sk3_type',type,
'#sk3': a > b ).
thf('#sk7_type',type,
'#sk7': a ).
thf(cTHM507_pme,conjecture,
! [Xp: a > a > $o,Xp2: a > b > b > $o] :
( ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ( Xp2 @ Xx )
= ( Xp2 @ Xy ) ) )
& ! [Xx: a] :
( ( Xp @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b,Xz: b] :
( ( ( Xp2 @ Xx @ Xy @ Xz )
& ( Xp2 @ Xx @ Xx0 @ Xy ) )
=> ( Xp2 @ Xx @ Xx0 @ Xz ) )
& ! [Xx0: b,Xy: b] :
( ( Xp2 @ Xx @ Xx0 @ Xy )
=> ( Xp2 @ Xx @ Xy @ Xx0 ) ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xy @ Xz )
& ( Xp @ Xx @ Xy ) )
=> ( Xp @ Xx @ Xz ) )
& ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) ) )
=> ( ! [Xx: a > b,Xy: a > b,Xz: a > b] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) )
& ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
& ! [Xx: a > b,Xy: a > b] :
( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xp: a > a > $o,Xp2: a > b > b > $o] :
( ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ( Xp2 @ Xx )
= ( Xp2 @ Xy ) ) )
& ! [Xx: a] :
( ( Xp @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b,Xz: b] :
( ( ( Xp2 @ Xx @ Xy @ Xz )
& ( Xp2 @ Xx @ Xx0 @ Xy ) )
=> ( Xp2 @ Xx @ Xx0 @ Xz ) )
& ! [Xx0: b,Xy: b] :
( ( Xp2 @ Xx @ Xx0 @ Xy )
=> ( Xp2 @ Xx @ Xy @ Xx0 ) ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xy @ Xz )
& ( Xp @ Xx @ Xy ) )
=> ( Xp @ Xx @ Xz ) )
& ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) ) )
=> ( ! [Xx: a > b,Xy: a > b,Xz: a > b] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) )
& ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
& ! [Xx: a > b,Xy: a > b] :
( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xp2 @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM507_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > b > b > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( ( Y1 @ Y2 )
= ( Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y2 )
=> ( ( !!
@ ^ [Y3: b] :
( !!
@ ^ [Y4: b] :
( !!
@ ^ [Y5: b] :
( ( ( Y1 @ Y2 @ Y4 @ Y5 )
& ( Y1 @ Y2 @ Y3 @ Y4 ) )
=> ( Y1 @ Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: b] :
( !!
@ ^ [Y4: b] :
( ( Y1 @ Y2 @ Y3 @ Y4 )
=> ( Y1 @ Y2 @ Y4 @ Y3 ) ) ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) )
=> ( ( !!
@ ^ [Y2: a > b] :
( !!
@ ^ [Y3: a > b] :
( !!
@ ^ [Y4: a > b] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) ) )
=> ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y2 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y2: a > b] :
( !!
@ ^ [Y3: a > b] :
( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( Y1 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) )
=> ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( Y1 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > b > b > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( ( Y0 @ Y1 )
= ( Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 @ Y1 )
=> ( ( !!
@ ^ [Y2: b] :
( !!
@ ^ [Y3: b] :
( !!
@ ^ [Y4: b] :
( ( ( Y0 @ Y1 @ Y3 @ Y4 )
& ( Y0 @ Y1 @ Y2 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: b] :
( !!
@ ^ [Y3: b] :
( ( Y0 @ Y1 @ Y2 @ Y3 )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk1' @ Y2 @ Y3 )
& ( '#sk1' @ Y1 @ Y2 ) )
=> ( '#sk1' @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( '#sk1' @ Y2 @ Y1 ) ) ) ) )
=> ( ( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( !!
@ ^ [Y3: a > b] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk1' @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk1' @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk1' @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y1 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( ( '#sk2' @ Y0 )
= ( '#sk2' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 @ Y0 )
=> ( ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( !!
@ ^ [Y3: b] :
( ( ( '#sk2' @ Y0 @ Y2 @ Y3 )
& ( '#sk2' @ Y0 @ Y1 @ Y2 ) )
=> ( '#sk2' @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( '#sk2' @ Y0 @ Y1 @ Y2 )
=> ( '#sk2' @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( '#sk2' @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( '#sk2' @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( '#sk2' @ Y3 @ ( Y0 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ) ),
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] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( '#sk2' @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( '#sk2' @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( '#sk2' @ Y3 @ ( Y0 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
( ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( !!
@ ^ [Y2: a > b] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( '#sk2' @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( '#sk2' @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( '#sk2' @ Y3 @ ( Y0 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl14,plain,
( ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( '#sk3' @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( '#sk3' @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl19,plain,
( ~ ( !!
@ ^ [Y0: a > b] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( '#sk2' @ Y1 @ ( '#sk4' @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( '#sk2' @ Y1 @ ( '#sk3' @ Y1 ) @ ( '#sk4' @ Y2 ) ) ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( '#sk2' @ Y1 @ ( '#sk3' @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl25,plain,
( ~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ ( '#sk4' @ Y0 ) @ ( '#sk5' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk4' @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk5' @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl31,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk5' @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl37,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ '#sk6' @ Y0 )
=> ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk6' ) @ ( '#sk5' @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl42,plain,
( ~ ( ( '#sk1' @ '#sk6' @ '#sk7' )
=> ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk6' ) @ ( '#sk5' @ '#sk7' ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl47,plain,
( ~ ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk6' ) @ ( '#sk5' @ '#sk7' ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl30,plain,
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ ( '#sk4' @ Y0 ) @ ( '#sk5' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk4' @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl35,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ ( '#sk4' @ Y0 ) @ ( '#sk5' @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl40,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk2' @ X2 @ ( '#sk4' @ X2 ) @ ( '#sk5' @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl44,plain,
! [X2: a,X4: a] :
( ( ( '#sk1' @ X2 @ X4 )
=> ( '#sk2' @ X2 @ ( '#sk4' @ X2 ) @ ( '#sk5' @ X4 ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl49,plain,
( '#form8'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl54,plain,
( ~ '#form8'
| ~ ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk6' ) @ ( '#sk5' @ '#sk7' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl47,zip_derived_cl49]) ).
thf(zip_derived_cl3,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( ( '#sk2' @ Y0 )
= ( '#sk2' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 @ Y0 )
=> ( ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( !!
@ ^ [Y3: b] :
( ( ( '#sk2' @ Y0 @ Y2 @ Y3 )
& ( '#sk2' @ Y0 @ Y1 @ Y2 ) )
=> ( '#sk2' @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( '#sk2' @ Y0 @ Y1 @ Y2 )
=> ( '#sk2' @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( ( '#sk2' @ Y0 )
= ( '#sk2' @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( ( '#sk2' @ X2 )
= ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl15,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
=> ( ( '#sk2' @ X2 )
= ( '#sk2' @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl20,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( ( '#sk2' @ X2 )
= ( '#sk2' @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl26,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( ( '#sk2' @ X2 )
= ( '#sk2' @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl49_001,plain,
( '#form8'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl50,plain,
( ~ ( !!
@ ^ [Y0: a > b] :
( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( '#sk2' @ Y1 @ ( '#sk9' @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( '#sk2' @ Y1 @ ( Y0 @ Y1 ) @ ( '#sk9' @ Y2 ) ) ) ) ) ) )
| '#form8' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl56,plain,
( ~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ ( '#sk9' @ Y0 ) @ ( '#sk10' @ Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ ( '#sk10' @ Y0 ) @ ( '#sk9' @ Y1 ) ) ) ) ) )
| '#form8' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl59,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ ( '#sk10' @ Y0 ) @ ( '#sk9' @ Y1 ) ) ) ) )
| '#form8' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl61,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ '#sk11' @ Y0 )
=> ( '#sk2' @ '#sk11' @ ( '#sk10' @ '#sk11' ) @ ( '#sk9' @ Y0 ) ) ) )
| '#form8' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl63,plain,
( ~ ( ( '#sk1' @ '#sk11' @ '#sk12' )
=> ( '#sk2' @ '#sk11' @ ( '#sk10' @ '#sk11' ) @ ( '#sk9' @ '#sk12' ) ) )
| '#form8' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl65,plain,
( ( '#sk1' @ '#sk11' @ '#sk12' )
| '#form8' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl13,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl18,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
=> ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl73,plain,
( '#form8'
| ( '#sk1' @ '#sk12' @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl24]) ).
thf(zip_derived_cl77,plain,
( ( ( '#sk2' @ '#sk12' )
= ( '#sk2' @ '#sk11' ) )
| '#form8' ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl73]) ).
thf(zip_derived_cl96,plain,
! [X1: b,X2: b] :
( ( ( '#sk2' @ '#sk12' @ X1 @ X2 )
= ( '#sk2' @ '#sk11' @ X1 @ X2 ) )
| '#form8' ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl66,plain,
( ~ ( '#sk2' @ '#sk11' @ ( '#sk10' @ '#sk11' ) @ ( '#sk9' @ '#sk12' ) )
| '#form8' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl208,plain,
( ~ ( '#sk2' @ '#sk12' @ ( '#sk10' @ '#sk11' ) @ ( '#sk9' @ '#sk12' ) )
| '#form8'
| '#form8' ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl66]) ).
thf(zip_derived_cl211,plain,
( '#form8'
| ~ ( '#sk2' @ '#sk12' @ ( '#sk10' @ '#sk11' ) @ ( '#sk9' @ '#sk12' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl96_002,plain,
! [X1: b,X2: b] :
( ( ( '#sk2' @ '#sk12' @ X1 @ X2 )
= ( '#sk2' @ '#sk11' @ X1 @ X2 ) )
| '#form8' ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl58,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ ( '#sk9' @ Y0 ) @ ( '#sk10' @ Y1 ) ) ) ) )
| '#form8' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl60,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk2' @ X2 @ ( '#sk9' @ X2 ) @ ( '#sk10' @ Y0 ) ) ) )
| '#form8' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl62,plain,
! [X2: a,X4: a] :
( ( ( '#sk1' @ X2 @ X4 )
=> ( '#sk2' @ X2 @ ( '#sk9' @ X2 ) @ ( '#sk10' @ X4 ) ) )
| '#form8' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl64,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk2' @ X2 @ ( '#sk9' @ X2 ) @ ( '#sk10' @ X4 ) )
| '#form8' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl273,plain,
! [X0: a] :
( ( '#sk2' @ '#sk11' @ ( '#sk9' @ '#sk12' ) @ ( '#sk10' @ X0 ) )
| '#form8'
| '#form8'
| ~ ( '#sk1' @ '#sk12' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl64]) ).
thf(zip_derived_cl283,plain,
! [X0: a] :
( ~ ( '#sk1' @ '#sk12' @ X0 )
| '#form8'
| ( '#sk2' @ '#sk11' @ ( '#sk9' @ '#sk12' ) @ ( '#sk10' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl273]) ).
thf(zip_derived_cl96_003,plain,
! [X1: b,X2: b] :
( ( ( '#sk2' @ '#sk12' @ X1 @ X2 )
= ( '#sk2' @ '#sk11' @ X1 @ X2 ) )
| '#form8' ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 @ Y0 )
=> ( ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( !!
@ ^ [Y3: b] :
( ( ( '#sk2' @ Y0 @ Y2 @ Y3 )
& ( '#sk2' @ Y0 @ Y1 @ Y2 ) )
=> ( '#sk2' @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( '#sk2' @ Y0 @ Y1 @ Y2 )
=> ( '#sk2' @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
! [X2: a] :
( ( '#sk1' @ X2 @ X2 )
=> ( ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( ( '#sk2' @ X2 @ Y1 @ Y2 )
& ( '#sk2' @ X2 @ Y0 @ Y1 ) )
=> ( '#sk2' @ X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( ( '#sk2' @ X2 @ Y0 @ Y1 )
=> ( '#sk2' @ X2 @ Y1 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl16,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 @ X2 )
| ( ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( ( '#sk2' @ X2 @ Y1 @ Y2 )
& ( '#sk2' @ X2 @ Y0 @ Y1 ) )
=> ( '#sk2' @ X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( ( '#sk2' @ X2 @ Y0 @ Y1 )
=> ( '#sk2' @ X2 @ Y1 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl22,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( ( '#sk2' @ X2 @ Y0 @ Y1 )
=> ( '#sk2' @ X2 @ Y1 @ Y0 ) ) ) )
| ~ ( '#sk1' @ X2 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl28,plain,
! [X2: a,X4: b] :
( ( !!
@ ^ [Y0: b] :
( ( '#sk2' @ X2 @ X4 @ Y0 )
=> ( '#sk2' @ X2 @ Y0 @ X4 ) ) )
| ~ ( '#sk1' @ X2 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl33,plain,
! [X2: a,X4: b,X6: b] :
( ( ( '#sk2' @ X2 @ X4 @ X6 )
=> ( '#sk2' @ X2 @ X6 @ X4 ) )
| ~ ( '#sk1' @ X2 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl39,plain,
! [X2: a,X4: b,X6: b] :
( ~ ( '#sk2' @ X2 @ X4 @ X6 )
| ( '#sk2' @ X2 @ X6 @ X4 )
| ~ ( '#sk1' @ X2 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl147,plain,
! [X0: b,X1: b] :
( ~ ( '#sk2' @ '#sk11' @ X1 @ X0 )
| '#form8'
| ~ ( '#sk1' @ '#sk12' @ '#sk12' )
| ( '#sk2' @ '#sk12' @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl39]) ).
thf(zip_derived_cl73_004,plain,
( '#form8'
| ( '#sk1' @ '#sk12' @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl24]) ).
thf(zip_derived_cl65_005,plain,
( ( '#sk1' @ '#sk11' @ '#sk12' )
| '#form8' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl12,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl17,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( ( '#sk1' @ X4 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl23,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl29,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl34,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl98,plain,
! [X0: a] :
( '#form8'
| ( '#sk1' @ X0 @ '#sk12' )
| ~ ( '#sk1' @ X0 @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl34]) ).
thf(zip_derived_cl251,plain,
( '#form8'
| ( '#sk1' @ '#sk12' @ '#sk12' )
| '#form8' ),
inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl98]) ).
thf(zip_derived_cl255,plain,
( ( '#sk1' @ '#sk12' @ '#sk12' )
| '#form8' ),
inference(simplify,[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl375,plain,
! [X0: b,X1: b] :
( ( '#sk2' @ '#sk12' @ X0 @ X1 )
| '#form8'
| ~ ( '#sk2' @ '#sk11' @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl147,zip_derived_cl255]) ).
thf(zip_derived_cl376,plain,
! [X0: a] :
( '#form8'
| ~ ( '#sk1' @ '#sk12' @ X0 )
| '#form8'
| ( '#sk2' @ '#sk12' @ ( '#sk10' @ X0 ) @ ( '#sk9' @ '#sk12' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl375]) ).
thf(zip_derived_cl386,plain,
! [X0: a] :
( ( '#sk2' @ '#sk12' @ ( '#sk10' @ X0 ) @ ( '#sk9' @ '#sk12' ) )
| ~ ( '#sk1' @ '#sk12' @ X0 )
| '#form8' ),
inference(simplify,[status(thm)],[zip_derived_cl376]) ).
thf(zip_derived_cl584,plain,
( '#form8'
| '#form8'
| ~ ( '#sk1' @ '#sk12' @ '#sk11' ) ),
inference('sup+',[status(thm)],[zip_derived_cl211,zip_derived_cl386]) ).
thf(zip_derived_cl593,plain,
( ~ ( '#sk1' @ '#sk12' @ '#sk11' )
| '#form8' ),
inference(simplify,[status(thm)],[zip_derived_cl584]) ).
thf(zip_derived_cl73_006,plain,
( '#form8'
| ( '#sk1' @ '#sk12' @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl24]) ).
thf(zip_derived_cl605,plain,
'#form8',
inference(clc,[status(thm)],[zip_derived_cl593,zip_derived_cl73]) ).
thf(zip_derived_cl607,plain,
~ ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk6' ) @ ( '#sk5' @ '#sk7' ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl605]) ).
thf(zip_derived_cl36,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk4' @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl41,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk4' @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl45,plain,
! [X2: a,X4: a] :
( ( ( '#sk1' @ X2 @ X4 )
=> ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk4' @ X4 ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl49_007,plain,
( '#form8'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl52,plain,
! [X2: a,X4: a] :
( ~ '#form8'
| ( ( '#sk1' @ X2 @ X4 )
=> ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk4' @ X4 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl45,zip_derived_cl49]) ).
thf(zip_derived_cl57,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk4' @ X4 ) )
| ~ '#form8' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl605_008,plain,
'#form8',
inference(clc,[status(thm)],[zip_derived_cl593,zip_derived_cl73]) ).
thf(zip_derived_cl609,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk4' @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl605]) ).
thf(zip_derived_cl26_009,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( ( '#sk2' @ X2 )
= ( '#sk2' @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl46,plain,
( ( '#sk1' @ '#sk6' @ '#sk7' )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl49_010,plain,
( '#form8'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl53,plain,
( ~ '#form8'
| ( '#sk1' @ '#sk6' @ '#sk7' ) ),
inference(renaming,[status(thm)],[zip_derived_cl46,zip_derived_cl49]) ).
thf(zip_derived_cl24_011,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl69,plain,
( ~ '#form8'
| ( '#sk1' @ '#sk7' @ '#sk6' ) ),
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl24]) ).
thf(zip_derived_cl79,plain,
( ( ( '#sk2' @ '#sk7' )
= ( '#sk2' @ '#sk6' ) )
| ~ '#form8' ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl69]) ).
thf(zip_derived_cl94,plain,
! [X1: b,X2: b] :
( ( ( '#sk2' @ '#sk7' @ X1 @ X2 )
= ( '#sk2' @ '#sk6' @ X1 @ X2 ) )
| ~ '#form8' ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl44_012,plain,
! [X2: a,X4: a] :
( ( ( '#sk1' @ X2 @ X4 )
=> ( '#sk2' @ X2 @ ( '#sk4' @ X2 ) @ ( '#sk5' @ X4 ) ) )
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl49_013,plain,
( '#form8'
| ~ ( !!
@ ^ [Y0: a > b] :
( !!
@ ^ [Y1: a > b] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl51,plain,
! [X2: a,X4: a] :
( ~ '#form8'
| ( ( '#sk1' @ X2 @ X4 )
=> ( '#sk2' @ X2 @ ( '#sk4' @ X2 ) @ ( '#sk5' @ X4 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl44,zip_derived_cl49]) ).
thf(zip_derived_cl55,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk2' @ X2 @ ( '#sk4' @ X2 ) @ ( '#sk5' @ X4 ) )
| ~ '#form8' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl196,plain,
! [X0: a] :
( ( '#sk2' @ '#sk7' @ ( '#sk4' @ '#sk6' ) @ ( '#sk5' @ X0 ) )
| ~ '#form8'
| ~ '#form8'
| ~ ( '#sk1' @ '#sk6' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl55]) ).
thf(zip_derived_cl204,plain,
! [X0: a] :
( ~ ( '#sk1' @ '#sk6' @ X0 )
| ~ '#form8'
| ( '#sk2' @ '#sk7' @ ( '#sk4' @ '#sk6' ) @ ( '#sk5' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl196]) ).
thf(zip_derived_cl94_014,plain,
! [X1: b,X2: b] :
( ( ( '#sk2' @ '#sk7' @ X1 @ X2 )
= ( '#sk2' @ '#sk6' @ X1 @ X2 ) )
| ~ '#form8' ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl170,plain,
! [X1: b,X2: b] :
( ~ ( '#sk2' @ '#sk7' @ X1 @ X2 )
| ( '#sk2' @ '#sk6' @ X1 @ X2 )
| ~ '#form8' ),
inference(eq_elim,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl363,plain,
! [X0: a] :
( ~ '#form8'
| ~ ( '#sk1' @ '#sk6' @ X0 )
| ~ '#form8'
| ( '#sk2' @ '#sk6' @ ( '#sk4' @ '#sk6' ) @ ( '#sk5' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl170]) ).
thf(zip_derived_cl371,plain,
! [X0: a] :
( ( '#sk2' @ '#sk6' @ ( '#sk4' @ '#sk6' ) @ ( '#sk5' @ X0 ) )
| ~ ( '#sk1' @ '#sk6' @ X0 )
| ~ '#form8' ),
inference(simplify,[status(thm)],[zip_derived_cl363]) ).
thf(zip_derived_cl605_015,plain,
'#form8',
inference(clc,[status(thm)],[zip_derived_cl593,zip_derived_cl73]) ).
thf(zip_derived_cl714,plain,
! [X0: a] :
( ( '#sk2' @ '#sk6' @ ( '#sk4' @ '#sk6' ) @ ( '#sk5' @ X0 ) )
| ~ ( '#sk1' @ '#sk6' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl371,zip_derived_cl605]) ).
thf(zip_derived_cl21,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( ( '#sk2' @ X2 @ Y1 @ Y2 )
& ( '#sk2' @ X2 @ Y0 @ Y1 ) )
=> ( '#sk2' @ X2 @ Y0 @ Y2 ) ) ) ) )
| ~ ( '#sk1' @ X2 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl27,plain,
! [X2: a,X4: b] :
( ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( ( ( '#sk2' @ X2 @ Y0 @ Y1 )
& ( '#sk2' @ X2 @ X4 @ Y0 ) )
=> ( '#sk2' @ X2 @ X4 @ Y1 ) ) ) )
| ~ ( '#sk1' @ X2 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl32,plain,
! [X2: a,X4: b,X6: b] :
( ( !!
@ ^ [Y0: b] :
( ( ( '#sk2' @ X2 @ X6 @ Y0 )
& ( '#sk2' @ X2 @ X4 @ X6 ) )
=> ( '#sk2' @ X2 @ X4 @ Y0 ) ) )
| ~ ( '#sk1' @ X2 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl38,plain,
! [X2: a,X4: b,X6: b,X8: b] :
( ( ( ( '#sk2' @ X2 @ X6 @ X8 )
& ( '#sk2' @ X2 @ X4 @ X6 ) )
=> ( '#sk2' @ X2 @ X4 @ X8 ) )
| ~ ( '#sk1' @ X2 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl43,plain,
! [X2: a,X4: b,X6: b,X8: b] :
( ~ ( ( '#sk2' @ X2 @ X6 @ X8 )
& ( '#sk2' @ X2 @ X4 @ X6 ) )
| ( '#sk2' @ X2 @ X4 @ X8 )
| ~ ( '#sk1' @ X2 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl48,plain,
! [X2: a,X4: b,X6: b,X8: b] :
( ~ ( '#sk2' @ X2 @ X6 @ X8 )
| ~ ( '#sk2' @ X2 @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X2 )
| ( '#sk2' @ X2 @ X4 @ X8 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl716,plain,
! [X0: a,X1: b] :
( ~ ( '#sk1' @ '#sk6' @ X0 )
| ( '#sk2' @ '#sk6' @ X1 @ ( '#sk5' @ X0 ) )
| ~ ( '#sk1' @ '#sk6' @ '#sk6' )
| ~ ( '#sk2' @ '#sk6' @ X1 @ ( '#sk4' @ '#sk6' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl714,zip_derived_cl48]) ).
thf(zip_derived_cl53_016,plain,
( ~ '#form8'
| ( '#sk1' @ '#sk6' @ '#sk7' ) ),
inference(renaming,[status(thm)],[zip_derived_cl46,zip_derived_cl49]) ).
thf(zip_derived_cl69_017,plain,
( ~ '#form8'
| ( '#sk1' @ '#sk7' @ '#sk6' ) ),
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl24]) ).
thf(zip_derived_cl34_018,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl99,plain,
! [X0: a] :
( ~ '#form8'
| ( '#sk1' @ X0 @ '#sk6' )
| ~ ( '#sk1' @ X0 @ '#sk7' ) ),
inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl34]) ).
thf(zip_derived_cl109,plain,
( ~ '#form8'
| ( '#sk1' @ '#sk6' @ '#sk6' )
| ~ '#form8' ),
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl99]) ).
thf(zip_derived_cl111,plain,
( ( '#sk1' @ '#sk6' @ '#sk6' )
| ~ '#form8' ),
inference(simplify,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl605_019,plain,
'#form8',
inference(clc,[status(thm)],[zip_derived_cl593,zip_derived_cl73]) ).
thf(zip_derived_cl616,plain,
'#sk1' @ '#sk6' @ '#sk6',
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl605]) ).
thf(zip_derived_cl721,plain,
! [X0: a,X1: b] :
( ~ ( '#sk1' @ '#sk6' @ X0 )
| ( '#sk2' @ '#sk6' @ X1 @ ( '#sk5' @ X0 ) )
| ~ ( '#sk2' @ '#sk6' @ X1 @ ( '#sk4' @ '#sk6' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl616]) ).
thf(zip_derived_cl1140,plain,
! [X0: a] :
( ~ ( '#sk1' @ '#sk6' @ '#sk6' )
| ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk6' ) @ ( '#sk5' @ X0 ) )
| ~ ( '#sk1' @ '#sk6' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl721]) ).
thf(zip_derived_cl616_020,plain,
'#sk1' @ '#sk6' @ '#sk6',
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl605]) ).
thf(zip_derived_cl1146,plain,
! [X0: a] :
( ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk6' ) @ ( '#sk5' @ X0 ) )
| ~ ( '#sk1' @ '#sk6' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1140,zip_derived_cl616]) ).
thf(zip_derived_cl1178,plain,
~ ( '#sk1' @ '#sk6' @ '#sk7' ),
inference('sup+',[status(thm)],[zip_derived_cl607,zip_derived_cl1146]) ).
thf(zip_derived_cl53_021,plain,
( ~ '#form8'
| ( '#sk1' @ '#sk6' @ '#sk7' ) ),
inference(renaming,[status(thm)],[zip_derived_cl46,zip_derived_cl49]) ).
thf(zip_derived_cl605_022,plain,
'#form8',
inference(clc,[status(thm)],[zip_derived_cl593,zip_derived_cl73]) ).
thf(zip_derived_cl606,plain,
'#sk1' @ '#sk6' @ '#sk7',
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl605]) ).
thf(zip_derived_cl1189,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1178,zip_derived_cl606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV046^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Pgdse0zLxK true
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 24 03:38:58 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.68 % Total configuration time : 828
% 0.21/0.68 % Estimated wc time : 1656
% 0.21/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 3.28/1.04 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 3.28/1.05 % Solved by lams/35_full_unif4.sh.
% 3.28/1.05 % done 482 iterations in 0.238s
% 3.28/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.28/1.05 % SZS output start Refutation
% See solution above
% 3.28/1.05
% 3.28/1.05
% 3.28/1.05 % Terminating...
% 3.28/1.11 % Runner terminated.
% 3.28/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------