%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV040^5 : 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.73svuCcppo true
% Computer : n026.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 04:57:03 PM UTC 2025
% Result : Theorem 3.62s 1.07s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 14
% Syntax : Number of formulae : 149 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 1208 ( 136 equ; 0 cnn)
% Maximal formula atoms : 48 ( 8 avg)
% Number of connectives : 3281 ( 198 ~; 197 |; 302 &;1809 @)
% ( 0 <=>; 262 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 154 ( 154 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 15 con; 0-2 aty)
% ( 513 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 657 ( 525 ^; 132 !; 0 ?; 657 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk9_type',type,
'#sk9': a ).
thf('#sk17_type',type,
'#sk17': a ).
thf('#sk10_type',type,
'#sk10': a ).
thf('#sk13_type',type,
'#sk13': a ).
thf('#sk3_type',type,
'#sk3': a > a > $o ).
thf('#form16_type',type,
'#form16': $o ).
thf('#sk2_type',type,
'#sk2': a > a > $o ).
thf('#sk11_type',type,
'#sk11': a ).
thf('#sk1_type',type,
'#sk1': a > a > $o ).
thf('#form12_type',type,
'#form12': $o ).
thf('#sk6_type',type,
'#sk6': a > a > $o ).
thf('#sk15_type',type,
'#sk15': a ).
thf('#sk8_type',type,
'#sk8': a ).
thf('#sk5_type',type,
'#sk5': a > a > $o ).
thf('#form4_type',type,
'#form4': $o ).
thf('#sk18_type',type,
'#sk18': a ).
thf('#sk14_type',type,
'#sk14': a ).
thf('#sk7_type',type,
'#sk7': a ).
thf(cTHM515_pme,conjecture,
( ( ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ( Xp = Xq )
& ! [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 ) ) ) )
= ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ( Xp = Xq )
& ! [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 > a > $o,Xy: a > a > $o,Xz: a > a > $o] :
( ( ( Xy = Xz )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xy @ Xy0 @ Xz0 )
& ( Xy @ Xx0 @ Xy0 ) )
=> ( Xy @ Xx0 @ Xz0 ) )
& ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) )
& ( Xx = Xy )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xy0 @ Xz0 )
& ( Xx @ Xx0 @ Xy0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) ) )
=> ( ( Xx = Xz )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xy0 @ Xz0 )
& ( Xx @ Xx0 @ Xy0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) ) ) )
& ! [Xx: a > a > $o,Xy: a > a > $o] :
( ( ( Xx = Xy )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xx @ Xy0 @ Xz )
& ( Xx @ Xx0 @ Xy0 ) )
=> ( Xx @ Xx0 @ Xz ) )
& ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) ) )
=> ( ( Xy = Xx )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xy @ Xy0 @ Xz )
& ( Xy @ Xx0 @ Xy0 ) )
=> ( Xy @ Xx0 @ Xz ) )
& ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ( Xp = Xq )
& ! [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 ) ) ) )
= ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
( ( Xp = Xq )
& ! [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 > a > $o,Xy: a > a > $o,Xz: a > a > $o] :
( ( ( Xy = Xz )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xy @ Xy0 @ Xz0 )
& ( Xy @ Xx0 @ Xy0 ) )
=> ( Xy @ Xx0 @ Xz0 ) )
& ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) )
& ( Xx = Xy )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xy0 @ Xz0 )
& ( Xx @ Xx0 @ Xy0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) ) )
=> ( ( Xx = Xz )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xx @ Xy0 @ Xz0 )
& ( Xx @ Xx0 @ Xy0 ) )
=> ( Xx @ Xx0 @ Xz0 ) )
& ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) ) ) )
& ! [Xx: a > a > $o,Xy: a > a > $o] :
( ( ( Xx = Xy )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xx @ Xy0 @ Xz )
& ( Xx @ Xx0 @ Xy0 ) )
=> ( Xx @ Xx0 @ Xz ) )
& ! [Xx0: a,Xy0: a] :
( ( Xx @ Xx0 @ Xy0 )
=> ( Xx @ Xy0 @ Xx0 ) ) )
=> ( ( Xy = Xx )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xy @ Xy0 @ Xz )
& ( Xy @ Xx0 @ Xy0 ) )
=> ( Xy @ Xx0 @ Xz ) )
& ! [Xx0: a,Xy0: a] :
( ( Xy @ Xx0 @ Xy0 )
=> ( Xy @ Xy0 @ Xx0 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM515_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) ) )
= ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( !!
@ ^ [Y2: a > a > $o] :
( ( ( Y1 = Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y1 @ Y4 @ Y5 )
& ( Y1 @ Y3 @ Y4 ) )
=> ( Y1 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y1 @ Y4 @ Y3 ) ) ) )
& ( Y0 = Y1 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y0 @ Y4 @ Y5 )
& ( Y0 @ Y3 @ Y4 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) ) ) )
=> ( ( Y0 = Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y0 @ Y4 @ Y5 )
& ( Y0 @ Y3 @ Y4 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( !!
@ ^ [Y2: a > a > $o] :
( ( ( Y1 = Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y1 @ Y4 @ Y5 )
& ( Y1 @ Y3 @ Y4 ) )
=> ( Y1 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y1 @ Y4 @ Y3 ) ) ) )
& ( Y0 = Y1 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y0 @ Y4 @ Y5 )
& ( Y0 @ Y3 @ Y4 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) ) ) )
=> ( ( Y0 = Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y0 @ Y4 @ Y5 )
& ( Y0 @ Y3 @ Y4 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( !!
@ ^ [Y2: a > a > $o] :
( ( ( Y1 = Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y1 @ Y4 @ Y5 )
& ( Y1 @ Y3 @ Y4 ) )
=> ( Y1 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y1 @ Y4 @ Y3 ) ) ) )
& ( Y0 = Y1 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y0 @ Y4 @ Y5 )
& ( Y0 @ Y3 @ Y4 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) ) ) )
=> ( ( Y0 = Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y0 @ Y4 @ Y5 )
& ( Y0 @ Y3 @ Y4 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) )
& ( '#sk1' = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk1' @ Y3 @ Y4 )
& ( '#sk1' @ Y2 @ Y3 ) )
=> ( '#sk1' @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk1' @ Y3 @ Y2 ) ) ) ) )
=> ( ( '#sk1' = Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk1' @ Y3 @ Y4 )
& ( '#sk1' @ Y2 @ Y3 ) )
=> ( '#sk1' @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk1' @ Y3 @ Y2 ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ~ ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk2' = Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk2' @ Y2 @ Y3 )
& ( '#sk2' @ Y1 @ Y2 ) )
=> ( '#sk2' @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( '#sk2' @ Y2 @ Y1 ) ) ) )
& ( '#sk1' = '#sk2' )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( '#sk1' = Y0 )
& ( !!
@ ^ [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 ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ~ ( ( ( '#sk2' = '#sk3' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk2' @ Y1 @ Y2 )
& ( '#sk2' @ Y0 @ Y1 ) )
=> ( '#sk2' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 ) ) ) )
& ( '#sk1' = '#sk2' )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( '#sk1' = '#sk3' )
& ( !!
@ ^ [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 > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
( ~ ( ( '#sk1' = '#sk3' )
& ( !!
@ ^ [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 > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7_001,plain,
( ~ ( ( '#sk1' = '#sk3' )
& ( !!
@ ^ [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 > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl14,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl16,plain,
( ~ '#form4'
| ~ ( ( '#sk1' = '#sk3' )
& ( !!
@ ^ [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(renaming,[status(thm)],[zip_derived_cl7,zip_derived_cl14]) ).
thf(zip_derived_cl25,plain,
( ( '#sk1' != '#sk3' )
| ~ ( !!
@ ^ [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 ) ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl31,plain,
( ( '#sk1' != '#sk3' )
| ~ ( !!
@ ^ [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 ) ) ) )
| ~ '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ '#sk7' @ Y0 ) )
=> ( '#sk1' @ '#sk7' @ Y1 ) ) ) )
| ~ '#form4'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ( '#sk1' != '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl39,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk1' @ '#sk8' @ Y0 )
& ( '#sk1' @ '#sk7' @ '#sk8' ) )
=> ( '#sk1' @ '#sk7' @ Y0 ) ) )
| ( '#sk1' != '#sk3' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl48,plain,
( ~ ( ( ( '#sk1' @ '#sk8' @ '#sk9' )
& ( '#sk1' @ '#sk7' @ '#sk8' ) )
=> ( '#sk1' @ '#sk7' @ '#sk9' ) )
| ~ '#form4'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ( '#sk1' != '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl57,plain,
( ~ ( '#sk1' @ '#sk7' @ '#sk9' )
| ( '#sk1' != '#sk3' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl56,plain,
( ( ( '#sk1' @ '#sk8' @ '#sk9' )
& ( '#sk1' @ '#sk7' @ '#sk8' ) )
| ( '#sk1' != '#sk3' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl63,plain,
( '#form12'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl66,plain,
( ~ '#form12'
| ~ '#form4'
| ( '#sk1' != '#sk3' )
| ~ ( '#sk1' @ '#sk7' @ '#sk9' ) ),
inference(renaming,[status(thm)],[zip_derived_cl57,zip_derived_cl63]) ).
thf(zip_derived_cl6,plain,
( ( ( '#sk2' = '#sk3' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk2' @ Y1 @ Y2 )
& ( '#sk2' @ Y0 @ Y1 ) )
=> ( '#sk2' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk2' @ Y1 @ Y0 ) ) ) )
& ( '#sk1' = '#sk2' )
& ( !!
@ ^ [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 > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
( ( '#sk1' = '#sk2' )
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl21,plain,
( ( '#sk1' = '#sk2' )
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl14_002,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl22,plain,
( ~ '#form4'
| ( '#sk1' = '#sk2' ) ),
inference(renaming,[status(thm)],[zip_derived_cl21,zip_derived_cl14]) ).
thf(zip_derived_cl8,plain,
( ( '#sk2' = '#sk3' )
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl17,plain,
( ( '#sk2' = '#sk3' )
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl14_003,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl18,plain,
( ~ '#form4'
| ( '#sk2' = '#sk3' ) ),
inference(renaming,[status(thm)],[zip_derived_cl17,zip_derived_cl14]) ).
thf(zip_derived_cl94,plain,
( ( '#sk1' = '#sk3' )
| ~ '#form4'
| ~ '#form4' ),
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl18]) ).
thf(zip_derived_cl97,plain,
( ~ '#form4'
| ( '#sk1' = '#sk3' ) ),
inference(simplify,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl114,plain,
( ~ ( '#sk1' @ '#sk7' @ '#sk9' )
| ~ '#form4'
| ~ '#form12' ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl97]) ).
thf(zip_derived_cl56_004,plain,
( ( ( '#sk1' @ '#sk8' @ '#sk9' )
& ( '#sk1' @ '#sk7' @ '#sk8' ) )
| ( '#sk1' != '#sk3' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl63_005,plain,
( '#form12'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl65,plain,
( ~ '#form12'
| ~ '#form4'
| ( '#sk1' != '#sk3' )
| ( ( '#sk1' @ '#sk8' @ '#sk9' )
& ( '#sk1' @ '#sk7' @ '#sk8' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl56,zip_derived_cl63]) ).
thf(zip_derived_cl71,plain,
( ( '#sk1' @ '#sk7' @ '#sk8' )
| ( '#sk1' != '#sk3' )
| ~ '#form4'
| ~ '#form12' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl97_006,plain,
( ~ '#form4'
| ( '#sk1' = '#sk3' ) ),
inference(simplify,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl199,plain,
( ~ '#form12'
| ~ '#form4'
| ( '#sk1' @ '#sk7' @ '#sk8' ) ),
inference(clc,[status(thm)],[zip_derived_cl71,zip_derived_cl97]) ).
thf(zip_derived_cl63_007,plain,
( '#form12'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl64,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ '#sk13' @ Y0 )
=> ( '#sk1' @ Y0 @ '#sk13' ) ) )
| '#form12' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl72,plain,
( ~ ( ( '#sk1' @ '#sk13' @ '#sk15' )
=> ( '#sk1' @ '#sk15' @ '#sk13' ) )
| '#form12' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl76,plain,
( ( '#sk1' @ '#sk13' @ '#sk15' )
| '#form12' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl13,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14_008,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl24,plain,
( ~ '#form4'
| ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl13,zip_derived_cl14]) ).
thf(zip_derived_cl30,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ Y0 @ X2 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl38,plain,
! [X2: a,X4: a] :
( ( ( '#sk1' @ X2 @ X4 )
=> ( '#sk1' @ X4 @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl47,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl129,plain,
( '#form12'
| ~ '#form4'
| ( '#sk1' @ '#sk15' @ '#sk13' ) ),
inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl47]) ).
thf(zip_derived_cl77,plain,
( ~ ( '#sk1' @ '#sk15' @ '#sk13' )
| '#form12' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl145,plain,
( ~ '#form4'
| '#form12' ),
inference(clc,[status(thm)],[zip_derived_cl129,zip_derived_cl77]) ).
thf(zip_derived_cl200,plain,
( ( '#sk1' @ '#sk7' @ '#sk8' )
| ~ '#form4' ),
inference(clc,[status(thm)],[zip_derived_cl199,zip_derived_cl145]) ).
thf(zip_derived_cl70,plain,
( ( '#sk1' @ '#sk8' @ '#sk9' )
| ( '#sk1' != '#sk3' )
| ~ '#form4'
| ~ '#form12' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl97_009,plain,
( ~ '#form4'
| ( '#sk1' = '#sk3' ) ),
inference(simplify,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl189,plain,
( ~ '#form12'
| ~ '#form4'
| ( '#sk1' @ '#sk8' @ '#sk9' ) ),
inference(clc,[status(thm)],[zip_derived_cl70,zip_derived_cl97]) ).
thf(zip_derived_cl145_010,plain,
( ~ '#form4'
| '#form12' ),
inference(clc,[status(thm)],[zip_derived_cl129,zip_derived_cl77]) ).
thf(zip_derived_cl190,plain,
( ( '#sk1' @ '#sk8' @ '#sk9' )
| ~ '#form4' ),
inference(clc,[status(thm)],[zip_derived_cl189,zip_derived_cl145]) ).
thf(zip_derived_cl12,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14_011,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl23,plain,
( ~ '#form4'
| ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl12,zip_derived_cl14]) ).
thf(zip_derived_cl29,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ X2 @ Y1 ) ) ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl37,plain,
! [X2: a,X4: a] :
( ( !!
@ ^ [Y0: a] :
( ( ( '#sk1' @ X4 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl46,plain,
! [X2: a,X4: a,X6: a] :
( ( ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ X6 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl55,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X2 @ X6 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl62,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ~ '#form4'
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl191,plain,
! [X0: a] :
( ~ '#form4'
| ( '#sk1' @ X0 @ '#sk9' )
| ~ '#form4'
| ~ ( '#sk1' @ X0 @ '#sk8' ) ),
inference('sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl62]) ).
thf(zip_derived_cl195,plain,
! [X0: a] :
( ~ ( '#sk1' @ X0 @ '#sk8' )
| ( '#sk1' @ X0 @ '#sk9' )
| ~ '#form4' ),
inference(simplify,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl226,plain,
( ~ '#form4'
| ~ '#form4'
| ( '#sk1' @ '#sk7' @ '#sk9' ) ),
inference('sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl195]) ).
thf(zip_derived_cl230,plain,
( ( '#sk1' @ '#sk7' @ '#sk9' )
| ~ '#form4' ),
inference(simplify,[status(thm)],[zip_derived_cl226]) ).
thf(zip_derived_cl244,plain,
( ~ '#form12'
| ~ '#form4'
| ~ '#form4' ),
inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl230]) ).
thf(zip_derived_cl249,plain,
( ~ '#form4'
| ~ '#form12' ),
inference(simplify,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl145_012,plain,
( ~ '#form4'
| '#form12' ),
inference(clc,[status(thm)],[zip_derived_cl129,zip_derived_cl77]) ).
thf(zip_derived_cl257,plain,
~ '#form4',
inference(clc,[status(thm)],[zip_derived_cl249,zip_derived_cl145]) ).
thf(zip_derived_cl14_013,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( ( ( Y0 = Y1 )
& ( !!
@ ^ [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 ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl15,plain,
( ~ ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk5' = Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk5' @ Y2 @ Y3 )
& ( '#sk5' @ Y1 @ Y2 ) )
=> ( '#sk5' @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk5' @ Y1 @ Y2 )
=> ( '#sk5' @ Y2 @ Y1 ) ) ) ) )
=> ( ( Y0 = '#sk5' )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl26,plain,
( ~ ( ( ( '#sk5' = '#sk6' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk5' @ Y0 @ Y1 )
=> ( '#sk5' @ Y1 @ Y0 ) ) ) ) )
=> ( ( '#sk6' = '#sk5' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk6' @ Y1 @ Y2 )
& ( '#sk6' @ Y0 @ Y1 ) )
=> ( '#sk6' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl33,plain,
( ( ( '#sk5' = '#sk6' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk5' @ Y0 @ Y1 )
=> ( '#sk5' @ Y1 @ Y0 ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl40,plain,
( ( '#sk5' = '#sk6' )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl49,plain,
( ( '#sk5' = '#sk6' )
| '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl263,plain,
'#sk5' = '#sk6',
inference('sup+',[status(thm)],[zip_derived_cl257,zip_derived_cl49]) ).
thf(zip_derived_cl272,plain,
! [X1: a,X2: a] :
( ( '#sk5' @ X1 @ X2 )
= ( '#sk6' @ X1 @ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl263]) ).
thf(zip_derived_cl34,plain,
( ~ ( ( '#sk6' = '#sk5' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk6' @ Y1 @ Y2 )
& ( '#sk6' @ Y0 @ Y1 ) )
=> ( '#sk6' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl43,plain,
( ( '#sk6' != '#sk5' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk6' @ Y1 @ Y2 )
& ( '#sk6' @ Y0 @ Y1 ) )
=> ( '#sk6' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl52,plain,
( ( '#sk6' != '#sk5' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk6' @ Y1 @ Y2 )
& ( '#sk6' @ Y0 @ Y1 ) )
=> ( '#sk6' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) )
| '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl53,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk6' @ Y0 @ Y1 )
& ( '#sk6' @ '#sk10' @ Y0 ) )
=> ( '#sk6' @ '#sk10' @ Y1 ) ) ) )
| '#form4'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) )
| ( '#sk6' != '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl60,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk6' @ '#sk11' @ Y0 )
& ( '#sk6' @ '#sk10' @ '#sk11' ) )
=> ( '#sk6' @ '#sk10' @ Y0 ) ) )
| ( '#sk6' != '#sk5' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) )
| '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl69,plain,
( ~ ( ( ( '#sk6' @ '#sk11' @ '#sk14' )
& ( '#sk6' @ '#sk10' @ '#sk11' ) )
=> ( '#sk6' @ '#sk10' @ '#sk14' ) )
| '#form4'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) )
| ( '#sk6' != '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl75,plain,
( ~ ( '#sk6' @ '#sk10' @ '#sk14' )
| ( '#sk6' != '#sk5' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl75_014,plain,
( ~ ( '#sk6' @ '#sk10' @ '#sk14' )
| ( '#sk6' != '#sk5' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl81,plain,
( '#form16'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl83,plain,
( ~ '#form16'
| '#form4'
| ( '#sk6' != '#sk5' )
| ~ ( '#sk6' @ '#sk10' @ '#sk14' ) ),
inference(renaming,[status(thm)],[zip_derived_cl75,zip_derived_cl81]) ).
thf(zip_derived_cl49_015,plain,
( ( '#sk5' = '#sk6' )
| '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl89,plain,
( ~ ( '#sk6' @ '#sk10' @ '#sk14' )
| '#form4'
| ~ '#form16' ),
inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl49]) ).
thf(zip_derived_cl257_016,plain,
~ '#form4',
inference(clc,[status(thm)],[zip_derived_cl249,zip_derived_cl145]) ).
thf(zip_derived_cl259,plain,
( ~ ( '#sk6' @ '#sk10' @ '#sk14' )
| ~ '#form16' ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl257]) ).
thf(zip_derived_cl320,plain,
( ~ ( '#sk5' @ '#sk10' @ '#sk14' )
| ~ '#form16' ),
inference('sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl259]) ).
thf(zip_derived_cl272_017,plain,
! [X1: a,X2: a] :
( ( '#sk5' @ X1 @ X2 )
= ( '#sk6' @ X1 @ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl263]) ).
thf(zip_derived_cl81_018,plain,
( '#form16'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl82,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk6' @ '#sk17' @ Y0 )
=> ( '#sk6' @ Y0 @ '#sk17' ) ) )
| '#form16' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl86,plain,
( ~ ( ( '#sk6' @ '#sk17' @ '#sk18' )
=> ( '#sk6' @ '#sk18' @ '#sk17' ) )
| '#form16' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl87,plain,
( ( '#sk6' @ '#sk17' @ '#sk18' )
| '#form16' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl318,plain,
( ( '#sk5' @ '#sk17' @ '#sk18' )
| '#form16' ),
inference('sup+',[status(thm)],[zip_derived_cl272,zip_derived_cl87]) ).
thf(zip_derived_cl42,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk5' @ Y0 @ Y1 )
=> ( '#sk5' @ Y1 @ Y0 ) ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl51,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk5' @ X2 @ Y0 )
=> ( '#sk5' @ Y0 @ X2 ) ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl59,plain,
! [X2: a,X4: a] :
( ( ( '#sk5' @ X2 @ X4 )
=> ( '#sk5' @ X4 @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl68,plain,
! [X2: a,X4: a] :
( ~ ( '#sk5' @ X2 @ X4 )
| ( '#sk5' @ X4 @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl257_019,plain,
~ '#form4',
inference(clc,[status(thm)],[zip_derived_cl249,zip_derived_cl145]) ).
thf(zip_derived_cl258,plain,
! [X2: a,X4: a] :
( ~ ( '#sk5' @ X2 @ X4 )
| ( '#sk5' @ X4 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl257]) ).
thf(zip_derived_cl361,plain,
( '#form16'
| ( '#sk5' @ '#sk18' @ '#sk17' ) ),
inference('sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl258]) ).
thf(zip_derived_cl272_020,plain,
! [X1: a,X2: a] :
( ( '#sk5' @ X1 @ X2 )
= ( '#sk6' @ X1 @ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl263]) ).
thf(zip_derived_cl88,plain,
( ~ ( '#sk6' @ '#sk18' @ '#sk17' )
| '#form16' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl317,plain,
( ~ ( '#sk5' @ '#sk18' @ '#sk17' )
| '#form16' ),
inference('sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl88]) ).
thf(zip_derived_cl392,plain,
'#form16',
inference(clc,[status(thm)],[zip_derived_cl361,zip_derived_cl317]) ).
thf(zip_derived_cl397,plain,
~ ( '#sk5' @ '#sk10' @ '#sk14' ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl392]) ).
thf(zip_derived_cl272_021,plain,
! [X1: a,X2: a] :
( ( '#sk5' @ X1 @ X2 )
= ( '#sk6' @ X1 @ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl263]) ).
thf(zip_derived_cl74,plain,
( ( ( '#sk6' @ '#sk11' @ '#sk14' )
& ( '#sk6' @ '#sk10' @ '#sk11' ) )
| ( '#sk6' != '#sk5' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl80,plain,
( ( '#sk6' @ '#sk10' @ '#sk11' )
| '#form4'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) )
| ( '#sk6' != '#sk5' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl81_022,plain,
( '#form16'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl85,plain,
( ~ '#form16'
| ( '#sk6' != '#sk5' )
| '#form4'
| ( '#sk6' @ '#sk10' @ '#sk11' ) ),
inference(renaming,[status(thm)],[zip_derived_cl80,zip_derived_cl81]) ).
thf(zip_derived_cl49_023,plain,
( ( '#sk5' = '#sk6' )
| '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl91,plain,
( ( '#sk6' @ '#sk10' @ '#sk11' )
| '#form4'
| ~ '#form16' ),
inference(clc,[status(thm)],[zip_derived_cl85,zip_derived_cl49]) ).
thf(zip_derived_cl257_024,plain,
~ '#form4',
inference(clc,[status(thm)],[zip_derived_cl249,zip_derived_cl145]) ).
thf(zip_derived_cl261,plain,
( ( '#sk6' @ '#sk10' @ '#sk11' )
| ~ '#form16' ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl257]) ).
thf(zip_derived_cl346,plain,
( ( '#sk5' @ '#sk10' @ '#sk11' )
| ~ '#form16' ),
inference('sup+',[status(thm)],[zip_derived_cl272,zip_derived_cl261]) ).
thf(zip_derived_cl392_025,plain,
'#form16',
inference(clc,[status(thm)],[zip_derived_cl361,zip_derived_cl317]) ).
thf(zip_derived_cl398,plain,
'#sk5' @ '#sk10' @ '#sk11',
inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl392]) ).
thf(zip_derived_cl272_026,plain,
! [X1: a,X2: a] :
( ( '#sk5' @ X1 @ X2 )
= ( '#sk6' @ X1 @ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl263]) ).
thf(zip_derived_cl79,plain,
( ( '#sk6' @ '#sk11' @ '#sk14' )
| '#form4'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) )
| ( '#sk6' != '#sk5' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl81_027,plain,
( '#form16'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk6' @ Y0 @ Y1 )
=> ( '#sk6' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl84,plain,
( ~ '#form16'
| ( '#sk6' != '#sk5' )
| '#form4'
| ( '#sk6' @ '#sk11' @ '#sk14' ) ),
inference(renaming,[status(thm)],[zip_derived_cl79,zip_derived_cl81]) ).
thf(zip_derived_cl49_028,plain,
( ( '#sk5' = '#sk6' )
| '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl90,plain,
( ( '#sk6' @ '#sk11' @ '#sk14' )
| '#form4'
| ~ '#form16' ),
inference(clc,[status(thm)],[zip_derived_cl84,zip_derived_cl49]) ).
thf(zip_derived_cl257_029,plain,
~ '#form4',
inference(clc,[status(thm)],[zip_derived_cl249,zip_derived_cl145]) ).
thf(zip_derived_cl260,plain,
( ( '#sk6' @ '#sk11' @ '#sk14' )
| ~ '#form16' ),
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl257]) ).
thf(zip_derived_cl319,plain,
( ( '#sk5' @ '#sk11' @ '#sk14' )
| ~ '#form16' ),
inference('sup+',[status(thm)],[zip_derived_cl272,zip_derived_cl260]) ).
thf(zip_derived_cl392_030,plain,
'#form16',
inference(clc,[status(thm)],[zip_derived_cl361,zip_derived_cl317]) ).
thf(zip_derived_cl396,plain,
'#sk5' @ '#sk11' @ '#sk14',
inference(demod,[status(thm)],[zip_derived_cl319,zip_derived_cl392]) ).
thf(zip_derived_cl41,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl50,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk5' @ Y0 @ Y1 )
& ( '#sk5' @ X2 @ Y0 ) )
=> ( '#sk5' @ X2 @ Y1 ) ) ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl58,plain,
! [X2: a,X4: a] :
( ( !!
@ ^ [Y0: a] :
( ( ( '#sk5' @ X4 @ Y0 )
& ( '#sk5' @ X2 @ X4 ) )
=> ( '#sk5' @ X2 @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl67,plain,
! [X2: a,X4: a,X6: a] :
( ( ( ( '#sk5' @ X4 @ X6 )
& ( '#sk5' @ X2 @ X4 ) )
=> ( '#sk5' @ X2 @ X6 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl73,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( ( '#sk5' @ X4 @ X6 )
& ( '#sk5' @ X2 @ X4 ) )
| ( '#sk5' @ X2 @ X6 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl78,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk5' @ X4 @ X6 )
| ~ ( '#sk5' @ X2 @ X4 )
| '#form4'
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl257_031,plain,
~ '#form4',
inference(clc,[status(thm)],[zip_derived_cl249,zip_derived_cl145]) ).
thf(zip_derived_cl265,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk5' @ X4 @ X6 )
| ~ ( '#sk5' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X6 ) ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl257]) ).
thf(zip_derived_cl419,plain,
! [X0: a] :
( ( '#sk5' @ X0 @ '#sk14' )
| ~ ( '#sk5' @ X0 @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl265]) ).
thf(zip_derived_cl485,plain,
'#sk5' @ '#sk10' @ '#sk14',
inference('sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl419]) ).
thf(zip_derived_cl498,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl397,zip_derived_cl485]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV040^5 : TPTP v9.2.0. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.73svuCcppo true
% 0.14/0.35 % Computer : n026.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 15:37:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.22/0.35 % Python version: Python 3.6.8
% 0.22/0.36 % Running in HO mode
% 0.58/0.67 % Total configuration time : 828
% 0.58/0.67 % Estimated wc time : 1656
% 0.58/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 3.62/1.07 % Solved by lams/30_sp5.sh.
% 3.62/1.07 % done 216 iterations in 0.174s
% 3.62/1.07 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.62/1.07 % SZS output start Refutation
% See solution above
% 3.62/1.08
% 3.62/1.08
% 3.62/1.08 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 3.62/1.08 % Terminating...
% 4.20/1.17 % Runner terminated.
% 4.20/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------