TSTP Solution File: SEV140^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV140^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.n3iWP6O8yy true
% Computer : n031.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 19:59:44 EDT 2023
% Result : Theorem 30.10s 4.60s
% Output : Refutation 30.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 28
% Syntax : Number of formulae : 169 ( 10 unt; 18 typ; 0 def)
% Number of atoms : 1646 ( 0 equ; 1 cnn)
% Maximal formula atoms : 30 ( 10 avg)
% Number of connectives : 6463 ( 171 ~; 291 |; 357 &;4048 @)
% ( 0 <=>; 560 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 15 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 502 ( 502 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 5 con; 0-2 aty)
% (1036 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 1202 (1036 ^; 166 !; 0 ?;1202 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk3_type',type,
'#sk3': a ).
thf('#sk806_type',type,
'#sk806': ( a > a > $o ) > a ).
thf('#sk41_type',type,
'#sk41': ( a > a > $o ) > a ).
thf('#sk4_type',type,
'#sk4': a ).
thf('#sk1315_type',type,
'#sk1315': ( a > a > $o ) > a ).
thf('#sk1275_type',type,
'#sk1275': ( a > a > $o ) > a ).
thf('#sk1_type',type,
'#sk1': a > a > $o ).
thf('#form1894_type',type,
'#form1894': ( a > a > $o ) > $o ).
thf('#form695_type',type,
'#form695': ( a > a > $o ) > $o ).
thf('#sk54_type',type,
'#sk54': ( a > a > $o ) > a ).
thf('#sk109_type',type,
'#sk109': ( a > a > $o ) > a ).
thf('#form646_type',type,
'#form646': ( a > a > $o ) > $o ).
thf('#sk696_type',type,
'#sk696': ( a > a > $o ) > a ).
thf('#sk85_type',type,
'#sk85': ( a > a > $o ) > a ).
thf('#sk30_type',type,
'#sk30': ( a > a > $o ) > a ).
thf('#sk5_type',type,
'#sk5': a > a > $o ).
thf('#sk2_type',type,
'#sk2': a > a > $o ).
thf(cTHM250C_pme,conjecture,
! [R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xy0 @ Xz )
& ( Xp1 @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xz ) )
& ! [Xx0: a,Xy0: a] :
( ( ! [Xp10: a > a > $o] :
( ( ! [Xx1: a,Xy1: a,Xz: a] :
( ( ( Xp10 @ Xy1 @ Xz )
& ( Xp10 @ Xx1 @ Xy1 ) )
=> ( Xp10 @ Xx1 @ Xz ) )
& ! [Xx1: a,Xy1: a] :
( ( S @ Xx1 @ Xy1 )
=> ( Xp10 @ Xx1 @ Xy1 ) ) )
=> ( Xp10 @ Xx0 @ Xy0 ) )
| ! [Xp10: a > a > $o] :
( ( ! [Xx1: a,Xy1: a,Xz: a] :
( ( ( Xp10 @ Xy1 @ Xz )
& ( Xp10 @ Xx1 @ Xy1 ) )
=> ( Xp10 @ Xx1 @ Xz ) )
& ! [Xx1: a,Xy1: a] :
( ( R @ Xx1 @ Xy1 )
=> ( Xp10 @ Xx1 @ Xy1 ) ) )
=> ( Xp10 @ Xx0 @ Xy0 ) ) )
=> ( Xp1 @ Xx0 @ Xy0 ) ) )
=> ( Xp1 @ Xx @ Xy ) )
=> ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xy0 @ Xz )
& ( Xp1 @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xz ) )
& ! [Xx0: a,Xy0: a] :
( ( ( S @ Xx0 @ Xy0 )
| ( R @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xy0 ) ) )
=> ( Xp1 @ Xx @ Xy ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xy0 @ Xz )
& ( Xp1 @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xz ) )
& ! [Xx0: a,Xy0: a] :
( ( ! [Xp10: a > a > $o] :
( ( ! [Xx1: a,Xy1: a,Xz: a] :
( ( ( Xp10 @ Xy1 @ Xz )
& ( Xp10 @ Xx1 @ Xy1 ) )
=> ( Xp10 @ Xx1 @ Xz ) )
& ! [Xx1: a,Xy1: a] :
( ( S @ Xx1 @ Xy1 )
=> ( Xp10 @ Xx1 @ Xy1 ) ) )
=> ( Xp10 @ Xx0 @ Xy0 ) )
| ! [Xp10: a > a > $o] :
( ( ! [Xx1: a,Xy1: a,Xz: a] :
( ( ( Xp10 @ Xy1 @ Xz )
& ( Xp10 @ Xx1 @ Xy1 ) )
=> ( Xp10 @ Xx1 @ Xz ) )
& ! [Xx1: a,Xy1: a] :
( ( R @ Xx1 @ Xy1 )
=> ( Xp10 @ Xx1 @ Xy1 ) ) )
=> ( Xp10 @ Xx0 @ Xy0 ) ) )
=> ( Xp1 @ Xx0 @ Xy0 ) ) )
=> ( Xp1 @ Xx @ Xy ) )
=> ! [Xp1: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xy0 @ Xz )
& ( Xp1 @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xz ) )
& ! [Xx0: a,Xy0: a] :
( ( ( S @ Xx0 @ Xy0 )
| ( R @ Xx0 @ Xy0 ) )
=> ( Xp1 @ Xx0 @ Xy0 ) ) )
=> ( Xp1 @ Xx @ Xy ) ) ),
inference('cnf.neg',[status(esa)],[cTHM250C_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( !!
@ ^ [Y4: a > a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( !!
@ ^ [Y7: a > a > $o] :
( ( ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( !!
@ ^ [Y10: a] :
( ( ( Y7 @ Y9 @ Y10 )
& ( Y7 @ Y8 @ Y9 ) )
=> ( Y7 @ Y8 @ Y10 ) ) ) ) )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( Y1 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) )
| ( !!
@ ^ [Y7: a > a > $o] :
( ( ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( !!
@ ^ [Y10: a] :
( ( ( Y7 @ Y9 @ Y10 )
& ( Y7 @ Y8 @ Y9 ) )
=> ( Y7 @ Y8 @ Y10 ) ) ) ) )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( Y0 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) )
=> ( !!
@ ^ [Y4: a > a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y1 @ Y5 @ Y6 )
| ( Y0 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( !!
@ ^ [Y3: a > a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( !!
@ ^ [Y6: a > a > $o] :
( ( ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( ( Y6 @ Y8 @ Y9 )
& ( Y6 @ Y7 @ Y8 ) )
=> ( Y6 @ Y7 @ Y9 ) ) ) ) )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) )
| ( !!
@ ^ [Y6: a > a > $o] :
( ( ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( ( Y6 @ Y8 @ Y9 )
& ( Y6 @ Y7 @ Y8 ) )
=> ( Y6 @ Y7 @ Y9 ) ) ) ) )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( '#sk1' @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y3: a > a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y0 @ Y4 @ Y5 )
| ( '#sk1' @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( !!
@ ^ [Y5: a > a > $o] :
( ( ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( ( Y5 @ Y7 @ Y8 )
& ( Y5 @ Y6 @ Y7 ) )
=> ( Y5 @ Y6 @ Y8 ) ) ) ) )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( '#sk2' @ Y6 @ Y7 )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) )
| ( !!
@ ^ [Y5: a > a > $o] :
( ( ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( ( Y5 @ Y7 @ Y8 )
& ( Y5 @ Y6 @ Y7 ) )
=> ( Y5 @ Y6 @ Y8 ) ) ) ) )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( '#sk1' @ Y6 @ Y7 )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk2' @ Y3 @ Y4 )
| ( '#sk1' @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: a] :
( ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( !!
@ ^ [Y4: a > a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( '#sk2' @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) )
| ( !!
@ ^ [Y4: a > a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( '#sk1' @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ '#sk3' @ Y0 ) ) )
=> ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk2' @ Y2 @ Y3 )
| ( '#sk1' @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ '#sk3' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
~ ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( !!
@ ^ [Y3: a > a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk2' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
| ( !!
@ ^ [Y3: a > a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk1' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk3' @ '#sk4' ) ) )
=> ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk2' @ Y1 @ Y2 )
| ( '#sk1' @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk3' @ '#sk4' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( !!
@ ^ [Y3: a > a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk2' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
| ( !!
@ ^ [Y3: a > a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk1' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk3' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X2: a > a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: a > a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( X2 @ Y0 @ Y1 )
& ( X2 @ ( '#sk30' @ X2 ) @ Y0 ) )
=> ( X2 @ ( '#sk30' @ X2 ) @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl21,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ( X2 @ ( '#sk41' @ X2 ) @ Y0 )
& ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk41' @ X2 ) ) )
=> ( X2 @ ( '#sk30' @ X2 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl24,plain,
! [X2: a > a > $o] :
( ~ ( ( ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
& ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk41' @ X2 ) ) )
=> ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl27,plain,
! [X2: a > a > $o] :
( ( ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
& ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk41' @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl33,plain,
! [X2: a > a > $o] :
( ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk41' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl37,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk2' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk85' @ X2 ) @ Y0 ) ) )
| ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk85' @ X2 ) @ Y0 ) ) ) )
=> ( X2 @ ( '#sk85' @ X2 ) @ Y0 ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk41' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl40,plain,
! [X2: a > a > $o] :
( ~ ( ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) ) )
=> ( X2 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) )
| ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk41' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl46,plain,
! [X2: a > a > $o] :
( ~ ( X2 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk41' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl7_001,plain,
! [X2: a > a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk1' @ '#sk3' @ '#sk4' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl205,plain,
( ~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) )
| ( '#sk1' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl206,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) )
| ( '#sk1' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl207,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ Y0 ) )
=> ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ Y1 ) ) ) )
| ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl206]) ).
thf(zip_derived_cl208,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk1' @ ( '#sk41' @ '#sk1' ) @ Y0 )
& ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ ( '#sk41' @ '#sk1' ) ) )
=> ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) )
| ( '#sk1' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl207]) ).
thf(zip_derived_cl209,plain,
( ~ ( ( ( '#sk1' @ ( '#sk41' @ '#sk1' ) @ ( '#sk54' @ '#sk1' ) )
& ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ ( '#sk41' @ '#sk1' ) ) )
=> ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ ( '#sk54' @ '#sk1' ) ) )
| ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl211,plain,
( ~ ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ ( '#sk54' @ '#sk1' ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) )
| ( '#sk1' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl209]) ).
thf(zip_derived_cl214,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk2' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk85' @ '#sk1' ) @ Y0 ) ) )
| ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk85' @ '#sk1' ) @ Y0 ) ) ) )
=> ( '#sk1' @ ( '#sk85' @ '#sk1' ) @ Y0 ) ) )
| ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ ( '#sk54' @ '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl217,plain,
( ~ ( ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk1' ) @ ( '#sk109' @ '#sk1' ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk1' ) @ ( '#sk109' @ '#sk1' ) ) ) ) )
=> ( '#sk1' @ ( '#sk85' @ '#sk1' ) @ ( '#sk109' @ '#sk1' ) ) )
| ~ ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ ( '#sk54' @ '#sk1' ) )
| ( '#sk1' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl214]) ).
thf(zip_derived_cl220,plain,
( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk1' ) @ ( '#sk109' @ '#sk1' ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk1' ) @ ( '#sk109' @ '#sk1' ) ) ) )
| ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ ( '#sk54' @ '#sk1' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl226,plain,
( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk1' ) @ ( '#sk109' @ '#sk1' ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk1' ) @ ( '#sk109' @ '#sk1' ) ) ) )
| ~ ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ ( '#sk54' @ '#sk1' ) )
| ( '#sk1' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl32,plain,
! [X2: a > a > $o] :
( ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl36,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk2' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk85' @ X2 ) @ Y0 ) ) )
| ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk85' @ X2 ) @ Y0 ) ) ) )
=> ( X2 @ ( '#sk85' @ X2 ) @ Y0 ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl39,plain,
! [X2: a > a > $o] :
( ~ ( ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) ) )
=> ( X2 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) )
| ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl43,plain,
! [X2: a > a > $o] :
( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl48,plain,
! [X2: a > a > $o] :
( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl54,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X4 @ Y1 @ Y2 )
& ( X4 @ Y0 @ Y1 ) )
=> ( X4 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) ) )
=> ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl63,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X4 @ Y1 @ Y2 )
& ( X4 @ Y0 @ Y1 ) )
=> ( X4 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) ) )
| ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl66,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X4 @ Y1 @ Y2 )
& ( X4 @ Y0 @ Y1 ) )
=> ( X4 @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl69,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( X4 @ Y0 @ Y1 )
& ( X4 @ ( '#sk30' @ X4 ) @ Y0 ) )
=> ( X4 @ ( '#sk30' @ X4 ) @ Y1 ) ) ) )
| ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl72,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ( X4 @ ( '#sk41' @ X4 ) @ Y0 )
& ( X4 @ ( '#sk30' @ X4 ) @ ( '#sk41' @ X4 ) ) )
=> ( X4 @ ( '#sk30' @ X4 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl75,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ~ ( ( ( X4 @ ( '#sk41' @ X4 ) @ ( '#sk54' @ X4 ) )
& ( X4 @ ( '#sk30' @ X4 ) @ ( '#sk41' @ X4 ) ) )
=> ( X4 @ ( '#sk30' @ X4 ) @ ( '#sk54' @ X4 ) ) )
| ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl79,plain,
! [X2: a > a > $o] :
( ~ ( '#form646' @ X2 )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl229,plain,
( ( '#form646' @ '#sk1' )
| ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ ( '#sk54' @ '#sk1' ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk1' ) @ ( '#sk109' @ '#sk1' ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl226,zip_derived_cl79]) ).
thf(zip_derived_cl232,plain,
! [X2: a > a > $o] :
( ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ ( '#sk85' @ '#sk1' ) @ ( '#sk109' @ '#sk1' ) ) )
| ~ ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ ( '#sk54' @ '#sk1' ) )
| ( '#sk1' @ '#sk3' @ '#sk4' )
| ( '#form646' @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl229]) ).
thf(zip_derived_cl244,plain,
! [X2: a > a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
| ( X2 @ ( '#sk85' @ '#sk1' ) @ ( '#sk109' @ '#sk1' ) )
| ( '#form646' @ '#sk1' )
| ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ ( '#sk54' @ '#sk1' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl232]) ).
thf(zip_derived_cl247,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ~ ( '#sk1' @ ( '#sk30' @ '#sk1' ) @ ( '#sk54' @ '#sk1' ) )
| ( '#sk1' @ '#sk3' @ '#sk4' )
| ( '#form646' @ '#sk1' )
| ( X2 @ ( '#sk85' @ '#sk1' ) @ ( '#sk109' @ '#sk1' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl250,plain,
! [X2: a > a > $o] :
( ( '#form1894' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl251,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( X2 @ Y0 @ Y1 )
& ( X2 @ ( '#sk30' @ X2 ) @ Y0 ) )
=> ( X2 @ ( '#sk30' @ X2 ) @ Y1 ) ) ) )
| ( '#form1894' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl250]) ).
thf(zip_derived_cl256,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ( X2 @ ( '#sk41' @ X2 ) @ Y0 )
& ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk41' @ X2 ) ) )
=> ( X2 @ ( '#sk30' @ X2 ) @ Y0 ) ) )
| ( '#form1894' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl262,plain,
! [X2: a > a > $o] :
( ~ ( ( ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
& ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk41' @ X2 ) ) )
=> ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) ) )
| ( '#form1894' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl256]) ).
thf(zip_derived_cl265,plain,
! [X2: a > a > $o] :
( ( ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
& ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk41' @ X2 ) ) )
| ( '#form1894' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl267,plain,
! [X2: a > a > $o] :
( ( X2 @ ( '#sk41' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( '#form1894' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk2' @ Y1 @ Y2 )
| ( '#sk1' @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk3' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk2' @ Y0 @ Y1 )
| ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk2' @ Y0 @ Y1 )
| ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl16,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk5' @ Y0 @ Y1 )
& ( '#sk5' @ X2 @ Y0 ) )
=> ( '#sk5' @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl22,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( ( '#sk5' @ X4 @ Y0 )
& ( '#sk5' @ X2 @ X4 ) )
=> ( '#sk5' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl25,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk5' @ X4 @ X6 )
& ( '#sk5' @ X2 @ X4 ) )
=> ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl29,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( ( '#sk5' @ X4 @ X6 )
& ( '#sk5' @ X2 @ X4 ) )
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl35,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk5' @ X4 @ X6 )
| ~ ( '#sk5' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl495,plain,
! [X0: a] :
( ( '#form1894' @ '#sk5' )
| ( '#sk5' @ X0 @ ( '#sk54' @ '#sk5' ) )
| ~ ( '#sk5' @ X0 @ ( '#sk41' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl35]) ).
thf(zip_derived_cl671,plain,
( ( '#sk5' @ '#sk3' @ '#sk4' )
| ~ ( '#sk5' @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk54' @ '#sk5' ) )
| ( '#form1894' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl495]) ).
thf(zip_derived_cl14,plain,
~ ( '#sk5' @ '#sk3' @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl780,plain,
( ~ ( '#sk5' @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk54' @ '#sk5' ) )
| ( '#form1894' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl671,zip_derived_cl14]) ).
thf(zip_derived_cl266,plain,
! [X2: a > a > $o] :
( ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( '#form1894' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl801,plain,
( ( '#form1894' @ '#sk5' )
| ~ ( '#sk5' @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl780,zip_derived_cl266]) ).
thf(zip_derived_cl7_002,plain,
! [X2: a > a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14_003,plain,
~ ( '#sk5' @ '#sk3' @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl289,plain,
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl14]) ).
thf(zip_derived_cl290,plain,
( (~)
@ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl289]) ).
thf(zip_derived_cl291,plain,
~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl290]) ).
thf(zip_derived_cl292,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl291]) ).
thf(zip_derived_cl250_004,plain,
! [X2: a > a > $o] :
( ( '#form1894' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl293,plain,
( ~ ( '#form1894' @ '#sk5' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl292,zip_derived_cl250]) ).
thf(zip_derived_cl294,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk2' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk85' @ '#sk5' ) @ Y0 ) ) )
| ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk85' @ '#sk5' ) @ Y0 ) ) ) )
=> ( '#sk5' @ ( '#sk85' @ '#sk5' ) @ Y0 ) ) )
| ~ ( '#form1894' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl293]) ).
thf(zip_derived_cl295,plain,
( ~ ( ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) ) ) ) )
=> ( '#sk5' @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) ) )
| ~ ( '#form1894' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl294]) ).
thf(zip_derived_cl297,plain,
( ~ ( '#sk5' @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) )
| ~ ( '#form1894' @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl295]) ).
thf(zip_derived_cl802,plain,
~ ( '#sk5' @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) ),
inference(clc,[status(thm)],[zip_derived_cl801,zip_derived_cl297]) ).
thf(zip_derived_cl79_005,plain,
! [X2: a > a > $o] :
( ~ ( '#form646' @ X2 )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl80,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X4 @ Y1 @ Y2 )
& ( X4 @ Y0 @ Y1 ) )
=> ( X4 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) ) )
=> ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) )
| ~ ( '#form646' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl81,plain,
! [X0: a > a > $o] :
( ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk5' @ ( '#sk85' @ X0 ) @ ( '#sk109' @ X0 ) ) )
| ~ ( '#form646' @ X0 ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl1987,plain,
! [X0: a > a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) )
| ( '#sk5' @ ( '#sk85' @ X0 ) @ ( '#sk109' @ X0 ) )
| ~ ( '#form646' @ X0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl1988,plain,
! [X0: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) )
| ~ ( '#form646' @ X0 )
| ( '#sk5' @ ( '#sk85' @ X0 ) @ ( '#sk109' @ X0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1987]) ).
thf(zip_derived_cl250_006,plain,
! [X2: a > a > $o] :
( ( '#form1894' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl1989,plain,
! [X0: a > a > $o] :
( ~ ( '#form1894' @ '#sk5' )
| ( '#sk5' @ ( '#sk85' @ X0 ) @ ( '#sk109' @ X0 ) )
| ~ ( '#form646' @ X0 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl1988,zip_derived_cl250]) ).
thf(zip_derived_cl268,plain,
! [X2: a > a > $o] :
( ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk41' @ X2 ) )
| ( '#form1894' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl495_007,plain,
! [X0: a] :
( ( '#form1894' @ '#sk5' )
| ( '#sk5' @ X0 @ ( '#sk54' @ '#sk5' ) )
| ~ ( '#sk5' @ X0 @ ( '#sk41' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl35]) ).
thf(zip_derived_cl810,plain,
( ( '#form1894' @ '#sk5' )
| ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk54' @ '#sk5' ) )
| ( '#form1894' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl495]) ).
thf(zip_derived_cl846,plain,
( ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk54' @ '#sk5' ) )
| ( '#form1894' @ '#sk5' ) ),
inference(simplify,[status(thm)],[zip_derived_cl810]) ).
thf(zip_derived_cl266_008,plain,
! [X2: a > a > $o] :
( ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( '#form1894' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl938,plain,
'#form1894' @ '#sk5',
inference(clc,[status(thm)],[zip_derived_cl846,zip_derived_cl266]) ).
thf(zip_derived_cl1990,plain,
! [X0: a > a > $o] :
( ( '#sk5' @ ( '#sk85' @ X0 ) @ ( '#sk109' @ X0 ) )
| ~ ( '#form646' @ X0 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1989,zip_derived_cl938]) ).
thf(zip_derived_cl1991,plain,
! [X0: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ ( '#sk1275' @ '#sk5' ) @ Y0 )
=> ( '#sk5' @ ( '#sk1275' @ '#sk5' ) @ Y0 ) ) )
| ~ ( '#form646' @ X0 )
| ( '#sk5' @ ( '#sk85' @ X0 ) @ ( '#sk109' @ X0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1990]) ).
thf(zip_derived_cl1992,plain,
! [X0: a > a > $o] :
( ~ ( ( '#sk1' @ ( '#sk1275' @ '#sk5' ) @ ( '#sk1315' @ '#sk5' ) )
=> ( '#sk5' @ ( '#sk1275' @ '#sk5' ) @ ( '#sk1315' @ '#sk5' ) ) )
| ( '#sk5' @ ( '#sk85' @ X0 ) @ ( '#sk109' @ X0 ) )
| ~ ( '#form646' @ X0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1991]) ).
thf(zip_derived_cl1994,plain,
! [X0: a > a > $o] :
( ~ ( '#sk5' @ ( '#sk1275' @ '#sk5' ) @ ( '#sk1315' @ '#sk5' ) )
| ~ ( '#form646' @ X0 )
| ( '#sk5' @ ( '#sk85' @ X0 ) @ ( '#sk109' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1992]) ).
thf(zip_derived_cl802_009,plain,
~ ( '#sk5' @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) ),
inference(clc,[status(thm)],[zip_derived_cl801,zip_derived_cl297]) ).
thf(zip_derived_cl1993,plain,
! [X0: a > a > $o] :
( ( '#sk1' @ ( '#sk1275' @ '#sk5' ) @ ( '#sk1315' @ '#sk5' ) )
| ~ ( '#form646' @ X0 )
| ( '#sk5' @ ( '#sk85' @ X0 ) @ ( '#sk109' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1992]) ).
thf(zip_derived_cl2001,plain,
( ~ ( '#form646' @ '#sk5' )
| ( '#sk1' @ ( '#sk1275' @ '#sk5' ) @ ( '#sk1315' @ '#sk5' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl802,zip_derived_cl1993]) ).
thf(zip_derived_cl296,plain,
( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) ) ) )
| ~ ( '#form1894' @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl295]) ).
thf(zip_derived_cl298,plain,
( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) ) ) )
| ~ ( '#form1894' @ '#sk5' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl296]) ).
thf(zip_derived_cl79_010,plain,
! [X2: a > a > $o] :
( ~ ( '#form646' @ X2 )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl299,plain,
( ( '#form646' @ '#sk5' )
| ~ ( '#form1894' @ '#sk5' )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl298,zip_derived_cl79]) ).
thf(zip_derived_cl300,plain,
! [X2: a > a > $o] :
( ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) ) )
| ~ ( '#form1894' @ '#sk5' )
| ( '#form646' @ '#sk5' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl299]) ).
thf(zip_derived_cl301,plain,
( ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk5' @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) ) )
| ~ ( '#form1894' @ '#sk5' )
| ( '#form646' @ '#sk5' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl300]) ).
thf(zip_derived_cl316,plain,
( ~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) )
| ( '#sk5' @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) )
| ( '#form646' @ '#sk5' )
| ~ ( '#form1894' @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl301]) ).
thf(zip_derived_cl297_011,plain,
( ~ ( '#sk5' @ ( '#sk85' @ '#sk5' ) @ ( '#sk109' @ '#sk5' ) )
| ~ ( '#form1894' @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl295]) ).
thf(zip_derived_cl317,plain,
( ~ ( '#form1894' @ '#sk5' )
| ( '#form646' @ '#sk5' )
| ~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl316,zip_derived_cl297]) ).
thf(zip_derived_cl318,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) )
| ( '#form646' @ '#sk5' )
| ~ ( '#form1894' @ '#sk5' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl317]) ).
thf(zip_derived_cl250_012,plain,
! [X2: a > a > $o] :
( ( '#form1894' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl319,plain,
( ~ ( '#form1894' @ '#sk5' )
| ~ ( '#form1894' @ '#sk5' )
| ( '#form646' @ '#sk5' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl318,zip_derived_cl250]) ).
thf(zip_derived_cl320,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) )
| ( '#form646' @ '#sk5' )
| ~ ( '#form1894' @ '#sk5' ) ),
inference(simplify,[status(thm)],[zip_derived_cl319]) ).
thf(zip_derived_cl28,plain,
! [X2: a > a > $o] :
( ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl34,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk2' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk85' @ X2 ) @ Y0 ) ) )
| ( !!
@ ^ [Y1: a > a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk85' @ X2 ) @ Y0 ) ) ) )
=> ( X2 @ ( '#sk85' @ X2 ) @ Y0 ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl38,plain,
! [X2: a > a > $o] :
( ~ ( ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) ) )
=> ( X2 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) )
| ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl41,plain,
! [X2: a > a > $o] :
( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl47,plain,
! [X2: a > a > $o] :
( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl50,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X4 @ Y1 @ Y2 )
& ( X4 @ Y0 @ Y1 ) )
=> ( X4 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) ) )
=> ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl62,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X4 @ Y1 @ Y2 )
& ( X4 @ Y0 @ Y1 ) )
=> ( X4 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) ) )
| ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl65,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X4 @ Y1 @ Y2 )
& ( X4 @ Y0 @ Y1 ) )
=> ( X4 @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl68,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( X4 @ Y0 @ Y1 )
& ( X4 @ ( '#sk30' @ X4 ) @ Y0 ) )
=> ( X4 @ ( '#sk30' @ X4 ) @ Y1 ) ) ) )
| ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl71,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ( X4 @ ( '#sk41' @ X4 ) @ Y0 )
& ( X4 @ ( '#sk30' @ X4 ) @ ( '#sk41' @ X4 ) ) )
=> ( X4 @ ( '#sk30' @ X4 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl74,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ~ ( ( ( X4 @ ( '#sk41' @ X4 ) @ ( '#sk54' @ X4 ) )
& ( X4 @ ( '#sk30' @ X4 ) @ ( '#sk41' @ X4 ) ) )
=> ( X4 @ ( '#sk30' @ X4 ) @ ( '#sk54' @ X4 ) ) )
| ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl77,plain,
! [X2: a > a > $o,X4: a > a > $o] :
( ( ( X4 @ ( '#sk41' @ X4 ) @ ( '#sk54' @ X4 ) )
& ( X4 @ ( '#sk30' @ X4 ) @ ( '#sk41' @ X4 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( X2 @ ( '#sk30' @ X2 ) @ ( '#sk54' @ X2 ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ) )
| ( X4 @ ( '#sk85' @ X2 ) @ ( '#sk109' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl86,plain,
! [X4: a > a > $o] :
( ( '#form695' @ X4 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl321,plain,
( ~ ( '#form695' @ '#sk5' )
| ~ ( '#form1894' @ '#sk5' )
| ( '#form646' @ '#sk5' ) ),
inference(renaming,[status(thm)],[zip_derived_cl320,zip_derived_cl86]) ).
thf(zip_derived_cl86_013,plain,
! [X4: a > a > $o] :
( ( '#form695' @ X4 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X4 @ Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl87,plain,
! [X4: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ ( '#sk696' @ X4 ) @ Y0 )
=> ( X4 @ ( '#sk696' @ X4 ) @ Y0 ) ) )
| ( '#form695' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl94,plain,
! [X4: a > a > $o] :
( ~ ( ( '#sk2' @ ( '#sk696' @ X4 ) @ ( '#sk806' @ X4 ) )
=> ( X4 @ ( '#sk696' @ X4 ) @ ( '#sk806' @ X4 ) ) )
| ( '#form695' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl106,plain,
! [X4: a > a > $o] :
( ( '#sk2' @ ( '#sk696' @ X4 ) @ ( '#sk806' @ X4 ) )
| ( '#form695' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl17,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk2' @ Y0 @ Y1 )
| ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl20,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ X2 @ Y0 )
| ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk5' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl23,plain,
! [X2: a,X4: a] :
( ( ( '#sk2' @ X2 @ X4 )
| ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl26,plain,
! [X2: a,X4: a] :
( ~ ( ( '#sk2' @ X2 @ X4 )
| ( '#sk1' @ X2 @ X4 ) )
| ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl30,plain,
! [X2: a,X4: a] :
( ~ ( '#sk2' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl131,plain,
! [X0: a > a > $o] :
( ( '#form695' @ X0 )
| ( '#sk5' @ ( '#sk696' @ X0 ) @ ( '#sk806' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl30]) ).
thf(zip_derived_cl107,plain,
! [X4: a > a > $o] :
( ~ ( X4 @ ( '#sk696' @ X4 ) @ ( '#sk806' @ X4 ) )
| ( '#form695' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl275,plain,
( ( '#form695' @ '#sk5' )
| ( '#form695' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl107]) ).
thf(zip_derived_cl284,plain,
'#form695' @ '#sk5',
inference(simplify,[status(thm)],[zip_derived_cl275]) ).
thf(zip_derived_cl322,plain,
( ~ ( '#form1894' @ '#sk5' )
| ( '#form646' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl284]) ).
thf(zip_derived_cl938_014,plain,
'#form1894' @ '#sk5',
inference(clc,[status(thm)],[zip_derived_cl846,zip_derived_cl266]) ).
thf(zip_derived_cl939,plain,
'#form646' @ '#sk5',
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl938]) ).
thf(zip_derived_cl2008,plain,
'#sk1' @ ( '#sk1275' @ '#sk5' ) @ ( '#sk1315' @ '#sk5' ),
inference(demod,[status(thm)],[zip_derived_cl2001,zip_derived_cl939]) ).
thf(zip_derived_cl31,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl2018,plain,
'#sk5' @ ( '#sk1275' @ '#sk5' ) @ ( '#sk1315' @ '#sk5' ),
inference('sup-',[status(thm)],[zip_derived_cl2008,zip_derived_cl31]) ).
thf(zip_derived_cl2034,plain,
! [X0: a > a > $o] :
( ~ ( '#form646' @ X0 )
| ( '#sk5' @ ( '#sk85' @ X0 ) @ ( '#sk109' @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1994,zip_derived_cl2018]) ).
thf(zip_derived_cl2040,plain,
~ ( '#form646' @ '#sk5' ),
inference('sup+',[status(thm)],[zip_derived_cl802,zip_derived_cl2034]) ).
thf(zip_derived_cl939_015,plain,
'#form646' @ '#sk5',
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl938]) ).
thf(zip_derived_cl2044,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2040,zip_derived_cl939]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV140^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.n3iWP6O8yy true
% 0.13/0.35 % Computer : n031.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 02:21:35 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/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
% 0.20/0.67 % Total configuration time : 828
% 0.20/0.67 % Estimated wc time : 1656
% 0.20/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 30.10/4.60 % Solved by lams/35_full_unif4.sh.
% 30.10/4.60 % done 192 iterations in 3.726s
% 30.10/4.60 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 30.10/4.60 % SZS output start Refutation
% See solution above
% 30.10/4.61
% 30.10/4.61
% 30.10/4.61 % Terminating...
% 31.28/4.73 % Runner terminated.
% 31.28/4.74 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------