TSTP Solution File: SEV149^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV149^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.D6SPB0y1f4 true
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 19:59:46 EDT 2023
% Result : Theorem 1.47s 1.44s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 14
% Syntax : Number of formulae : 130 ( 2 unt; 13 typ; 0 def)
% Number of atoms : 959 ( 0 equ; 1 cnn)
% Maximal formula atoms : 38 ( 8 avg)
% Number of connectives : 2802 ( 93 ~; 218 |; 190 &;1671 @)
% ( 0 <=>; 300 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 112 ( 112 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 5 con; 0-3 aty)
% ( 330 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 468 ( 330 ^; 138 !; 0 ?; 468 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk3_type',type,
'#sk3': a ).
thf('#sk4_type',type,
'#sk4': a ).
thf('#sk1_type',type,
'#sk1': a > a > $o ).
thf('#sk37_type',type,
'#sk37': ( a > $o ) > a ).
thf('#sk39_type',type,
'#sk39': a > a > $o ).
thf('#sk65_type',type,
'#sk65': a > a > a > $o ).
thf('#sk21_type',type,
'#sk21': ( a > $o ) > a ).
thf('#sk38_type',type,
'#sk38': a > a > $o ).
thf('#sk15_type',type,
'#sk15': ( a > $o ) > a ).
thf('#sk5_type',type,
'#sk5': a > $o ).
thf('#sk66_type',type,
'#sk66': a > a > a > $o ).
thf('#sk2_type',type,
'#sk2': a > a > $o ).
thf(cTHM251B_pme,conjecture,
! [R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xq: a > $o] :
( ( ! [Xu: a,Xv: a] :
( ( ( ( S @ Xu @ Xv )
| ( R @ Xu @ Xv ) )
& ( Xq @ Xu ) )
=> ( Xq @ Xv ) )
& ! [Xw: a] :
( ( ( S @ Xx @ Xw )
| ( R @ Xx @ Xw ) )
=> ( Xq @ Xw ) ) )
=> ( Xq @ Xy ) )
=> ! [Xq: a > $o] :
( ( ! [Xu: a,Xv: a] :
( ( ( ! [Xq0: a > $o] :
( ( ! [Xu0: a,Xv0: a] :
( ( ( S @ Xu0 @ Xv0 )
& ( Xq0 @ Xu0 ) )
=> ( Xq0 @ Xv0 ) )
& ! [Xw: a] :
( ( S @ Xu @ Xw )
=> ( Xq0 @ Xw ) ) )
=> ( Xq0 @ Xv ) )
| ! [Xq0: a > $o] :
( ( ! [Xu0: a,Xv0: a] :
( ( ( R @ Xu0 @ Xv0 )
& ( Xq0 @ Xu0 ) )
=> ( Xq0 @ Xv0 ) )
& ! [Xw: a] :
( ( R @ Xu @ Xw )
=> ( Xq0 @ Xw ) ) )
=> ( Xq0 @ Xv ) ) )
& ( Xq @ Xu ) )
=> ( Xq @ Xv ) )
& ! [Xw: a] :
( ( ! [Xq0: a > $o] :
( ( ! [Xu: a,Xv: a] :
( ( ( S @ Xu @ Xv )
& ( Xq0 @ Xu ) )
=> ( Xq0 @ Xv ) )
& ! [Xw0: a] :
( ( S @ Xx @ Xw0 )
=> ( Xq0 @ Xw0 ) ) )
=> ( Xq0 @ Xw ) )
| ! [Xq0: a > $o] :
( ( ! [Xu: a,Xv: a] :
( ( ( R @ Xu @ Xv )
& ( Xq0 @ Xu ) )
=> ( Xq0 @ Xv ) )
& ! [Xw0: a] :
( ( R @ Xx @ Xw0 )
=> ( Xq0 @ Xw0 ) ) )
=> ( Xq0 @ Xw ) ) )
=> ( Xq @ Xw ) ) )
=> ( Xq @ Xy ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xq: a > $o] :
( ( ! [Xu: a,Xv: a] :
( ( ( ( S @ Xu @ Xv )
| ( R @ Xu @ Xv ) )
& ( Xq @ Xu ) )
=> ( Xq @ Xv ) )
& ! [Xw: a] :
( ( ( S @ Xx @ Xw )
| ( R @ Xx @ Xw ) )
=> ( Xq @ Xw ) ) )
=> ( Xq @ Xy ) )
=> ! [Xq: a > $o] :
( ( ! [Xu: a,Xv: a] :
( ( ( ! [Xq0: a > $o] :
( ( ! [Xu0: a,Xv0: a] :
( ( ( S @ Xu0 @ Xv0 )
& ( Xq0 @ Xu0 ) )
=> ( Xq0 @ Xv0 ) )
& ! [Xw: a] :
( ( S @ Xu @ Xw )
=> ( Xq0 @ Xw ) ) )
=> ( Xq0 @ Xv ) )
| ! [Xq0: a > $o] :
( ( ! [Xu0: a,Xv0: a] :
( ( ( R @ Xu0 @ Xv0 )
& ( Xq0 @ Xu0 ) )
=> ( Xq0 @ Xv0 ) )
& ! [Xw: a] :
( ( R @ Xu @ Xw )
=> ( Xq0 @ Xw ) ) )
=> ( Xq0 @ Xv ) ) )
& ( Xq @ Xu ) )
=> ( Xq @ Xv ) )
& ! [Xw: a] :
( ( ! [Xq0: a > $o] :
( ( ! [Xu: a,Xv: a] :
( ( ( S @ Xu @ Xv )
& ( Xq0 @ Xu ) )
=> ( Xq0 @ Xv ) )
& ! [Xw0: a] :
( ( S @ Xx @ Xw0 )
=> ( Xq0 @ Xw0 ) ) )
=> ( Xq0 @ Xw ) )
| ! [Xq0: a > $o] :
( ( ! [Xu: a,Xv: a] :
( ( ( R @ Xu @ Xv )
& ( Xq0 @ Xu ) )
=> ( Xq0 @ Xv ) )
& ! [Xw0: a] :
( ( R @ Xx @ Xw0 )
=> ( Xq0 @ Xw0 ) ) )
=> ( Xq0 @ Xw ) ) )
=> ( Xq @ Xw ) ) )
=> ( Xq @ Xy ) ) ),
inference('cnf.neg',[status(esa)],[cTHM251B_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( ( Y1 @ Y5 @ Y6 )
| ( Y0 @ Y5 @ Y6 ) )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !!
@ ^ [Y5: a] :
( ( ( Y1 @ Y2 @ Y5 )
| ( Y0 @ Y2 @ Y5 ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) )
=> ( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( ( !!
@ ^ [Y7: a > $o] :
( ( ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( ( Y1 @ Y8 @ Y9 )
& ( Y7 @ Y8 ) )
=> ( Y7 @ Y9 ) ) ) )
& ( !!
@ ^ [Y8: a] :
( ( Y1 @ Y5 @ Y8 )
=> ( Y7 @ Y8 ) ) ) )
=> ( Y7 @ Y6 ) ) )
| ( !!
@ ^ [Y7: a > $o] :
( ( ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( ( Y0 @ Y8 @ Y9 )
& ( Y7 @ Y8 ) )
=> ( Y7 @ Y9 ) ) ) )
& ( !!
@ ^ [Y8: a] :
( ( Y0 @ Y5 @ Y8 )
=> ( Y7 @ Y8 ) ) ) )
=> ( Y7 @ Y6 ) ) ) )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !!
@ ^ [Y5: a] :
( ( ( !!
@ ^ [Y6: a > $o] :
( ( ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( ( Y1 @ Y7 @ Y8 )
& ( Y6 @ Y7 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !!
@ ^ [Y7: a] :
( ( Y1 @ Y2 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y5 ) ) )
| ( !!
@ ^ [Y6: a > $o] :
( ( ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( ( Y0 @ Y7 @ Y8 )
& ( Y6 @ Y7 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !!
@ ^ [Y7: a] :
( ( Y0 @ Y2 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y5 ) ) ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( ( Y0 @ Y4 @ Y5 )
| ( '#sk1' @ Y4 @ Y5 ) )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( ( Y0 @ Y1 @ Y4 )
| ( '#sk1' @ Y1 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) )
=> ( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( ( !!
@ ^ [Y6: a > $o] :
( ( ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( ( Y0 @ Y7 @ Y8 )
& ( Y6 @ Y7 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !!
@ ^ [Y7: a] :
( ( Y0 @ Y4 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y5 ) ) )
| ( !!
@ ^ [Y6: a > $o] :
( ( ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( ( '#sk1' @ Y7 @ Y8 )
& ( Y6 @ Y7 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !!
@ ^ [Y7: a] :
( ( '#sk1' @ Y4 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y5 ) ) ) )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( ( !!
@ ^ [Y5: a > $o] :
( ( ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y0 @ Y6 @ Y7 )
& ( Y5 @ Y6 ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !!
@ ^ [Y6: a] :
( ( Y0 @ Y1 @ Y6 )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y4 ) ) )
| ( !!
@ ^ [Y5: a > $o] :
( ( ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( '#sk1' @ Y6 @ Y7 )
& ( Y5 @ Y6 ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !!
@ ^ [Y6: a] :
( ( '#sk1' @ Y1 @ Y6 )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y4 ) ) ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( ( '#sk2' @ Y3 @ Y4 )
| ( '#sk1' @ Y3 @ Y4 ) )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( ( '#sk2' @ Y0 @ Y3 )
| ( '#sk1' @ Y0 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( ( !!
@ ^ [Y5: a > $o] :
( ( ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( '#sk2' @ Y6 @ Y7 )
& ( Y5 @ Y6 ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !!
@ ^ [Y6: a] :
( ( '#sk2' @ Y3 @ Y6 )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y4 ) ) )
| ( !!
@ ^ [Y5: a > $o] :
( ( ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( '#sk1' @ Y6 @ Y7 )
& ( Y5 @ Y6 ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !!
@ ^ [Y6: a] :
( ( '#sk1' @ Y3 @ Y6 )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y4 ) ) ) )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( ( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( '#sk2' @ Y5 @ Y6 )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !!
@ ^ [Y5: a] :
( ( '#sk2' @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) )
| ( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( '#sk1' @ Y5 @ Y6 )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !!
@ ^ [Y5: a] :
( ( '#sk1' @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: a] :
( ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( ( '#sk2' @ Y2 @ Y3 )
| ( '#sk1' @ Y2 @ Y3 ) )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( ( '#sk2' @ '#sk3' @ Y2 )
| ( '#sk1' @ '#sk3' @ Y2 ) )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( ( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( '#sk2' @ Y5 @ Y6 )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !!
@ ^ [Y5: a] :
( ( '#sk2' @ Y2 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) )
| ( !!
@ ^ [Y4: a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( '#sk1' @ Y5 @ Y6 )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !!
@ ^ [Y5: a] :
( ( '#sk1' @ Y2 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) ) )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( ( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( '#sk2' @ Y4 @ Y5 )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( '#sk2' @ '#sk3' @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) )
| ( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( '#sk1' @ Y4 @ Y5 )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( '#sk1' @ '#sk3' @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) ) )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
~ ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( ( '#sk2' @ Y1 @ Y2 )
| ( '#sk1' @ Y1 @ Y2 ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( ( '#sk2' @ '#sk3' @ Y1 )
| ( '#sk1' @ '#sk3' @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ '#sk4' ) ) )
=> ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( ( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( '#sk2' @ Y4 @ Y5 )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y1 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) )
| ( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( '#sk1' @ Y4 @ Y5 )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y1 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk2' @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( '#sk2' @ '#sk3' @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk1' @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ '#sk3' @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ '#sk4' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( ( '#sk2' @ Y1 @ Y2 )
| ( '#sk1' @ Y1 @ Y2 ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( ( '#sk2' @ '#sk3' @ Y1 )
| ( '#sk1' @ '#sk3' @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X2: a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ( '#sk2' @ Y0 @ Y1 )
| ( '#sk1' @ Y0 @ Y1 ) )
& ( X2 @ Y0 ) )
=> ( X2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ '#sk3' @ Y0 )
| ( '#sk1' @ '#sk3' @ Y0 ) )
=> ( X2 @ Y0 ) ) ) )
=> ( X2 @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ( '#sk2' @ Y0 @ Y1 )
| ( '#sk1' @ Y0 @ Y1 ) )
& ( '#sk5' @ Y0 ) )
=> ( '#sk5' @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ '#sk3' @ Y0 )
| ( '#sk1' @ '#sk3' @ Y0 ) )
=> ( '#sk5' @ Y0 ) ) ) )
=> ( '#sk5' @ '#sk4' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( ( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( '#sk2' @ Y4 @ Y5 )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y1 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) )
| ( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( '#sk1' @ Y4 @ Y5 )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( '#sk1' @ Y1 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk2' @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( '#sk2' @ '#sk3' @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk1' @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ '#sk3' @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk2' @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( '#sk2' @ Y0 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk1' @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y0 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
& ( '#sk5' @ Y0 ) )
=> ( '#sk5' @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk2' @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk2' @ '#sk3' @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk1' @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ '#sk3' @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( '#sk5' @ Y0 ) ) ) )
=> ( '#sk5' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
~ ( '#sk5' @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl93,plain,
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ( '#sk2' @ Y0 @ Y1 )
| ( '#sk1' @ Y0 @ Y1 ) )
& ( '#sk5' @ Y0 ) )
=> ( '#sk5' @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ '#sk3' @ Y0 )
| ( '#sk1' @ '#sk3' @ Y0 ) )
=> ( '#sk5' @ Y0 ) ) ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl12]) ).
thf(zip_derived_cl94,plain,
( (~)
@ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ( '#sk2' @ Y0 @ Y1 )
| ( '#sk1' @ Y0 @ Y1 ) )
& ( '#sk5' @ Y0 ) )
=> ( '#sk5' @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ '#sk3' @ Y0 )
| ( '#sk1' @ '#sk3' @ Y0 ) )
=> ( '#sk5' @ Y0 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl93]) ).
thf(zip_derived_cl95,plain,
~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ( '#sk2' @ Y0 @ Y1 )
| ( '#sk1' @ Y0 @ Y1 ) )
& ( '#sk5' @ Y0 ) )
=> ( '#sk5' @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ '#sk3' @ Y0 )
| ( '#sk1' @ '#sk3' @ Y0 ) )
=> ( '#sk5' @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl96,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ( '#sk2' @ Y0 @ Y1 )
| ( '#sk1' @ Y0 @ Y1 ) )
& ( '#sk5' @ Y0 ) )
=> ( '#sk5' @ Y1 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ '#sk3' @ Y0 )
| ( '#sk1' @ '#sk3' @ Y0 ) )
=> ( '#sk5' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl97,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( ( '#sk2' @ ( '#sk15' @ '#sk5' ) @ Y0 )
| ( '#sk1' @ ( '#sk15' @ '#sk5' ) @ Y0 ) )
& ( '#sk5' @ ( '#sk15' @ '#sk5' ) ) )
=> ( '#sk5' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ '#sk3' @ Y0 )
| ( '#sk1' @ '#sk3' @ Y0 ) )
=> ( '#sk5' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl98,plain,
( ~ ( ( ( ( '#sk2' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) ) )
& ( '#sk5' @ ( '#sk15' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk21' @ '#sk5' ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ '#sk3' @ Y0 )
| ( '#sk1' @ '#sk3' @ Y0 ) )
=> ( '#sk5' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl97]) ).
thf(zip_derived_cl100,plain,
( ~ ( '#sk5' @ ( '#sk21' @ '#sk5' ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ '#sk3' @ Y0 )
| ( '#sk1' @ '#sk3' @ Y0 ) )
=> ( '#sk5' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl103,plain,
( ~ ( ( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk37' @ '#sk5' ) ) )
| ~ ( '#sk5' @ ( '#sk21' @ '#sk5' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl107,plain,
( ~ ( '#sk5' @ ( '#sk37' @ '#sk5' ) )
| ~ ( '#sk5' @ ( '#sk21' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl11,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk2' @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( '#sk2' @ Y0 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk1' @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y0 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
& ( '#sk5' @ Y0 ) )
=> ( '#sk5' @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk2' @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk2' @ '#sk3' @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk1' @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ '#sk3' @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( '#sk5' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
( !!
@ ^ [Y0: a] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk2' @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk2' @ '#sk3' @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk1' @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ '#sk3' @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( '#sk5' @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl18,plain,
! [X2: a] :
( ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk2' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ '#sk3' @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X2 ) ) )
| ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ '#sk3' @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X2 ) ) ) )
=> ( '#sk5' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl21,plain,
! [X2: a] :
( ~ ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk2' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ '#sk3' @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X2 ) ) )
| ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ '#sk3' @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X2 ) ) ) )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl25,plain,
! [X2: a] :
( ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk2' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ '#sk3' @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X2 ) ) )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl32,plain,
! [X2: a] :
( ~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk2' @ Y0 @ Y1 )
& ( '#sk38' @ X2 @ Y0 ) )
=> ( '#sk38' @ X2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ '#sk3' @ Y0 )
=> ( '#sk38' @ X2 @ Y0 ) ) ) )
=> ( '#sk38' @ X2 @ X2 ) )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl42,plain,
! [X2: a] :
( ~ ( '#sk38' @ X2 @ X2 )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl26,plain,
! [X2: a] :
( ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ '#sk3' @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X2 ) ) )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl34,plain,
! [X2: a] :
( ~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk39' @ X2 @ Y0 ) )
=> ( '#sk39' @ X2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ '#sk3' @ Y0 )
=> ( '#sk39' @ X2 @ Y0 ) ) ) )
=> ( '#sk39' @ X2 @ X2 ) )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl44,plain,
! [X2: a] :
( ~ ( '#sk39' @ X2 @ X2 )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk2' @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( '#sk2' @ Y0 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk1' @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y0 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
& ( '#sk5' @ Y0 ) )
=> ( '#sk5' @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( ( ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk2' @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk2' @ X2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk1' @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ X2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
& ( '#sk5' @ X2 ) )
=> ( '#sk5' @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
! [X2: a,X4: a] :
( ( ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk2' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ X2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X4 ) ) )
| ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ X2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X4 ) ) ) )
& ( '#sk5' @ X2 ) )
=> ( '#sk5' @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl24,plain,
! [X2: a,X4: a] :
( ~ ( ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk2' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ X2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X4 ) ) )
| ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ X2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X4 ) ) ) )
& ( '#sk5' @ X2 ) )
| ( '#sk5' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl30,plain,
! [X2: a,X4: a] :
( ~ ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk2' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ X2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X4 ) ) )
| ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ X2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X4 ) ) ) )
| ~ ( '#sk5' @ X2 )
| ( '#sk5' @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl39,plain,
! [X2: a,X4: a] :
( ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk2' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ X2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X4 ) ) )
| ( '#sk5' @ X4 )
| ~ ( '#sk5' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl50,plain,
! [X2: a,X4: a] :
( ~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk2' @ Y0 @ Y1 )
& ( '#sk65' @ X2 @ X4 @ Y0 ) )
=> ( '#sk65' @ X2 @ X4 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ X2 @ Y0 )
=> ( '#sk65' @ X2 @ X4 @ Y0 ) ) ) )
=> ( '#sk65' @ X2 @ X4 @ X4 ) )
| ~ ( '#sk5' @ X2 )
| ( '#sk5' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl60,plain,
! [X2: a,X4: a] :
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk2' @ Y0 @ Y1 )
& ( '#sk65' @ X2 @ X4 @ Y0 ) )
=> ( '#sk65' @ X2 @ X4 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ X2 @ Y0 )
=> ( '#sk65' @ X2 @ X4 @ Y0 ) ) ) )
| ( '#sk5' @ X4 )
| ~ ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl70,plain,
! [X2: a,X4: a] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ X2 @ Y0 )
=> ( '#sk65' @ X2 @ X4 @ Y0 ) ) )
| ~ ( '#sk5' @ X2 )
| ( '#sk5' @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl78,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk2' @ X2 @ X6 )
=> ( '#sk65' @ X2 @ X4 @ X6 ) )
| ( '#sk5' @ X4 )
| ~ ( '#sk5' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl84,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk2' @ X2 @ X6 )
| ( '#sk65' @ X2 @ X4 @ X6 )
| ~ ( '#sk5' @ X2 )
| ( '#sk5' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl61,plain,
! [X2: a,X4: a] :
( ~ ( '#sk65' @ X2 @ X4 @ X4 )
| ( '#sk5' @ X4 )
| ~ ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl327,plain,
! [X0: a,X1: a] :
( ( '#sk5' @ X0 )
| ~ ( '#sk5' @ X1 )
| ~ ( '#sk2' @ X1 @ X0 )
| ~ ( '#sk5' @ X1 )
| ( '#sk5' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl61]) ).
thf(zip_derived_cl331,plain,
! [X0: a,X1: a] :
( ~ ( '#sk2' @ X1 @ X0 )
| ~ ( '#sk5' @ X1 )
| ( '#sk5' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl327]) ).
thf(zip_derived_cl99,plain,
( ( ( ( '#sk2' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) ) )
& ( '#sk5' @ ( '#sk15' @ '#sk5' ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ '#sk3' @ Y0 )
| ( '#sk1' @ '#sk3' @ Y0 ) )
=> ( '#sk5' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl101,plain,
( ( '#sk2' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ '#sk3' @ Y0 )
| ( '#sk1' @ '#sk3' @ Y0 ) )
=> ( '#sk5' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl104,plain,
( ( '#sk2' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ '#sk3' @ Y0 )
| ( '#sk1' @ '#sk3' @ Y0 ) )
=> ( '#sk5' @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl108,plain,
( ~ ( ( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk37' @ '#sk5' ) ) )
| ( '#sk1' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) )
| ( '#sk2' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl112,plain,
( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk2' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl115,plain,
( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) )
| ( '#sk2' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl339,plain,
( ( '#sk5' @ ( '#sk21' @ '#sk5' ) )
| ~ ( '#sk5' @ ( '#sk15' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl331,zip_derived_cl115]) ).
thf(zip_derived_cl42_001,plain,
! [X2: a] :
( ~ ( '#sk38' @ X2 @ X2 )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl44_002,plain,
! [X2: a] :
( ~ ( '#sk39' @ X2 @ X2 )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl102,plain,
( ( '#sk5' @ ( '#sk15' @ '#sk5' ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk2' @ '#sk3' @ Y0 )
| ( '#sk1' @ '#sk3' @ Y0 ) )
=> ( '#sk5' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl105,plain,
( ~ ( ( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk37' @ '#sk5' ) ) )
| ( '#sk5' @ ( '#sk15' @ '#sk5' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl109,plain,
( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk15' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl114,plain,
( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk15' @ '#sk5' ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl43,plain,
! [X2: a] :
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk39' @ X2 @ Y0 ) )
=> ( '#sk39' @ X2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ '#sk3' @ Y0 )
=> ( '#sk39' @ X2 @ Y0 ) ) ) )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl56,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ '#sk3' @ Y0 )
=> ( '#sk39' @ X2 @ Y0 ) ) )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl67,plain,
! [X2: a,X4: a] :
( ( ( '#sk1' @ '#sk3' @ X4 )
=> ( '#sk39' @ X2 @ X4 ) )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl76,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ '#sk3' @ X4 )
| ( '#sk39' @ X2 @ X4 )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl116,plain,
! [X0: a] :
( ( '#sk5' @ ( '#sk15' @ '#sk5' ) )
| ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ X0 )
| ( '#sk39' @ X0 @ ( '#sk37' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl76]) ).
thf(zip_derived_cl252,plain,
( ( '#sk5' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk15' @ '#sk5' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl116]) ).
thf(zip_derived_cl265,plain,
( ( '#sk5' @ ( '#sk15' @ '#sk5' ) )
| ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk37' @ '#sk5' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl252]) ).
thf(zip_derived_cl110,plain,
( ~ ( '#sk5' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk15' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl281,plain,
( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk15' @ '#sk5' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl265,zip_derived_cl110]) ).
thf(zip_derived_cl41,plain,
! [X2: a] :
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk2' @ Y0 @ Y1 )
& ( '#sk38' @ X2 @ Y0 ) )
=> ( '#sk38' @ X2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ '#sk3' @ Y0 )
=> ( '#sk38' @ X2 @ Y0 ) ) ) )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl54,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ '#sk3' @ Y0 )
=> ( '#sk38' @ X2 @ Y0 ) ) )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl65,plain,
! [X2: a,X4: a] :
( ( ( '#sk2' @ '#sk3' @ X4 )
=> ( '#sk38' @ X2 @ X4 ) )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl74,plain,
! [X2: a,X4: a] :
( ~ ( '#sk2' @ '#sk3' @ X4 )
| ( '#sk38' @ X2 @ X4 )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl282,plain,
! [X0: a] :
( ( '#sk5' @ ( '#sk15' @ '#sk5' ) )
| ( '#sk5' @ X0 )
| ( '#sk38' @ X0 @ ( '#sk37' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl74]) ).
thf(zip_derived_cl358,plain,
( ( '#sk5' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk15' @ '#sk5' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl282]) ).
thf(zip_derived_cl365,plain,
( ( '#sk5' @ ( '#sk15' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk37' @ '#sk5' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl358]) ).
thf(zip_derived_cl110_003,plain,
( ~ ( '#sk5' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk15' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl375,plain,
'#sk5' @ ( '#sk15' @ '#sk5' ),
inference(clc,[status(thm)],[zip_derived_cl365,zip_derived_cl110]) ).
thf(zip_derived_cl405,plain,
( ( '#sk5' @ ( '#sk21' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl375]) ).
thf(zip_derived_cl106,plain,
( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ~ ( '#sk5' @ ( '#sk21' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl111,plain,
( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ~ ( '#sk5' @ ( '#sk21' @ '#sk5' ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl406,plain,
( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl405,zip_derived_cl111]) ).
thf(zip_derived_cl40,plain,
! [X2: a,X4: a] :
( ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ X2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X4 ) ) )
| ( '#sk5' @ X4 )
| ~ ( '#sk5' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl52,plain,
! [X2: a,X4: a] :
( ~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk66' @ X2 @ X4 @ Y0 ) )
=> ( '#sk66' @ X2 @ X4 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk66' @ X2 @ X4 @ Y0 ) ) ) )
=> ( '#sk66' @ X2 @ X4 @ X4 ) )
| ~ ( '#sk5' @ X2 )
| ( '#sk5' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl63,plain,
! [X2: a,X4: a] :
( ~ ( '#sk66' @ X2 @ X4 @ X4 )
| ( '#sk5' @ X4 )
| ~ ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl62,plain,
! [X2: a,X4: a] :
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk66' @ X2 @ X4 @ Y0 ) )
=> ( '#sk66' @ X2 @ X4 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk66' @ X2 @ X4 @ Y0 ) ) ) )
| ( '#sk5' @ X4 )
| ~ ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl72,plain,
! [X2: a,X4: a] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk66' @ X2 @ X4 @ Y0 ) ) )
| ~ ( '#sk5' @ X2 )
| ( '#sk5' @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl80,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X2 @ X6 )
=> ( '#sk66' @ X2 @ X4 @ X6 ) )
| ( '#sk5' @ X4 )
| ~ ( '#sk5' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl86,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk1' @ X2 @ X6 )
| ( '#sk66' @ X2 @ X4 @ X6 )
| ~ ( '#sk5' @ X2 )
| ( '#sk5' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl577,plain,
! [X0: a,X1: a] :
( ~ ( '#sk5' @ X1 )
| ( '#sk5' @ X0 )
| ( '#sk5' @ X0 )
| ~ ( '#sk5' @ X1 )
| ~ ( '#sk1' @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl63,zip_derived_cl86]) ).
thf(zip_derived_cl587,plain,
! [X0: a,X1: a] :
( ~ ( '#sk1' @ X1 @ X0 )
| ( '#sk5' @ X0 )
| ~ ( '#sk5' @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl577]) ).
thf(zip_derived_cl600,plain,
( ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ~ ( '#sk5' @ ( '#sk15' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk21' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl587]) ).
thf(zip_derived_cl375_004,plain,
'#sk5' @ ( '#sk15' @ '#sk5' ),
inference(clc,[status(thm)],[zip_derived_cl365,zip_derived_cl110]) ).
thf(zip_derived_cl604,plain,
( ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk21' @ '#sk5' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl600,zip_derived_cl375]) ).
thf(zip_derived_cl111_005,plain,
( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ~ ( '#sk5' @ ( '#sk21' @ '#sk5' ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl610,plain,
( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk1' @ '#sk3' @ ( '#sk37' @ '#sk5' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl604,zip_derived_cl111]) ).
thf(zip_derived_cl76_006,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ '#sk3' @ X4 )
| ( '#sk39' @ X2 @ X4 )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl611,plain,
! [X0: a] :
( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ X0 )
| ( '#sk39' @ X0 @ ( '#sk37' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl76]) ).
thf(zip_derived_cl840,plain,
( ( '#sk5' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl611]) ).
thf(zip_derived_cl847,plain,
( ( '#sk2' @ '#sk3' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk37' @ '#sk5' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl840]) ).
thf(zip_derived_cl74_007,plain,
! [X2: a,X4: a] :
( ~ ( '#sk2' @ '#sk3' @ X4 )
| ( '#sk38' @ X2 @ X4 )
| ( '#sk5' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl859,plain,
! [X0: a] :
( ( '#sk5' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ X0 )
| ( '#sk38' @ X0 @ ( '#sk37' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl847,zip_derived_cl74]) ).
thf(zip_derived_cl908,plain,
( ( '#sk5' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk37' @ '#sk5' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl859]) ).
thf(zip_derived_cl911,plain,
'#sk5' @ ( '#sk37' @ '#sk5' ),
inference(simplify,[status(thm)],[zip_derived_cl908]) ).
thf(zip_derived_cl917,plain,
~ ( '#sk5' @ ( '#sk21' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl911]) ).
thf(zip_derived_cl331_008,plain,
! [X0: a,X1: a] :
( ~ ( '#sk2' @ X1 @ X0 )
| ~ ( '#sk5' @ X1 )
| ( '#sk5' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl327]) ).
thf(zip_derived_cl587_009,plain,
! [X0: a,X1: a] :
( ~ ( '#sk1' @ X1 @ X0 )
| ( '#sk5' @ X0 )
| ~ ( '#sk5' @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl577]) ).
thf(zip_derived_cl113,plain,
( ~ ( '#sk5' @ ( '#sk37' @ '#sk5' ) )
| ( '#sk2' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl911_010,plain,
'#sk5' @ ( '#sk37' @ '#sk5' ),
inference(simplify,[status(thm)],[zip_derived_cl908]) ).
thf(zip_derived_cl918,plain,
( ( '#sk2' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl911]) ).
thf(zip_derived_cl945,plain,
( ~ ( '#sk5' @ ( '#sk15' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk21' @ '#sk5' ) )
| ( '#sk2' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl587,zip_derived_cl918]) ).
thf(zip_derived_cl375_011,plain,
'#sk5' @ ( '#sk15' @ '#sk5' ),
inference(clc,[status(thm)],[zip_derived_cl365,zip_derived_cl110]) ).
thf(zip_derived_cl917_012,plain,
~ ( '#sk5' @ ( '#sk21' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl911]) ).
thf(zip_derived_cl953,plain,
'#sk2' @ ( '#sk15' @ '#sk5' ) @ ( '#sk21' @ '#sk5' ),
inference(demod,[status(thm)],[zip_derived_cl945,zip_derived_cl375,zip_derived_cl917]) ).
thf(zip_derived_cl963,plain,
( ( '#sk5' @ ( '#sk21' @ '#sk5' ) )
| ~ ( '#sk5' @ ( '#sk15' @ '#sk5' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl331,zip_derived_cl953]) ).
thf(zip_derived_cl375_013,plain,
'#sk5' @ ( '#sk15' @ '#sk5' ),
inference(clc,[status(thm)],[zip_derived_cl365,zip_derived_cl110]) ).
thf(zip_derived_cl965,plain,
'#sk5' @ ( '#sk21' @ '#sk5' ),
inference(demod,[status(thm)],[zip_derived_cl963,zip_derived_cl375]) ).
thf(zip_derived_cl967,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl917,zip_derived_cl965]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV149^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.D6SPB0y1f4 true
% 0.15/0.34 % Computer : n014.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 24 03:33:04 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in HO mode
% 0.21/0.69 % Total configuration time : 828
% 0.21/0.69 % Estimated wc time : 1656
% 0.21/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.05/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.47/1.44 % Solved by lams/35_full_unif4.sh.
% 1.47/1.44 % done 87 iterations in 0.621s
% 1.47/1.44 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.47/1.44 % SZS output start Refutation
% See solution above
% 1.47/1.44
% 1.47/1.44
% 1.47/1.44 % Terminating...
% 6.51/1.49 % Runner terminated.
% 6.51/1.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------