TSTP Solution File: SEV127^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV127^5 : 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.32iAHeLXTO true
% Computer : n002.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 19:59:42 EDT 2023
% Result : Theorem 1.46s 1.32s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 17
% Syntax : Number of formulae : 92 ( 6 unt; 14 typ; 0 def)
% Number of atoms : 603 ( 0 equ; 3 cnn)
% Maximal formula atoms : 22 ( 7 avg)
% Number of connectives : 1812 ( 67 ~; 92 |; 86 &;1118 @)
% ( 0 <=>; 195 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 12 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 234 ( 234 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 13 usr; 7 con; 0-2 aty)
% ( 254 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 315 ( 254 ^; 61 !; 0 ?; 315 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk5_type',type,
'#sk5': a ).
thf('#form807_type',type,
'#form807': $o ).
thf('#sk6_type',type,
'#sk6': a > a > $o ).
thf('#sk29_type',type,
'#sk29': ( a > a > $o ) > a ).
thf('#sk283_type',type,
'#sk283': ( a > a > $o ) > a ).
thf('#sk3_type',type,
'#sk3': a > a > $o ).
thf('#sk1_type',type,
'#sk1': ( a > a > $o ) > $o ).
thf('#sk4_type',type,
'#sk4': a ).
thf('#sk327_type',type,
'#sk327': ( a > a > $o ) > a ).
thf('#sk19_type',type,
'#sk19': ( a > a > $o ) > a ).
thf('#sk2_type',type,
'#sk2': a > a > $o ).
thf('#sk112_type',type,
'#sk112': ( a > a > $o ) > a ).
thf('#sk130_type',type,
'#sk130': ( a > a > $o ) > a ).
thf(cTHM252A_pme,conjecture,
! [P: ( a > a > $o ) > $o,R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xp: a > a > $o] :
( ( ( P @ Xp )
& ! [Xx0: a,Xy0: a] :
( ( ! [Xp0: a > a > $o] :
( ( ( P @ Xp0 )
& ! [Xx1: a,Xy1: a] :
( ( S @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) ) )
=> ( Xp0 @ Xx0 @ Xy0 ) )
| ! [Xp0: a > a > $o] :
( ( ( P @ Xp0 )
& ! [Xx1: a,Xy1: a] :
( ( R @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) ) )
=> ( Xp0 @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: a > a > $o] :
( ( ( P @ Xp )
& ! [Xx0: a,Xy0: a] :
( ( ( S @ Xx0 @ Xy0 )
| ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [P: ( a > a > $o ) > $o,R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xp: a > a > $o] :
( ( ( P @ Xp )
& ! [Xx0: a,Xy0: a] :
( ( ! [Xp0: a > a > $o] :
( ( ( P @ Xp0 )
& ! [Xx1: a,Xy1: a] :
( ( S @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) ) )
=> ( Xp0 @ Xx0 @ Xy0 ) )
| ! [Xp0: a > a > $o] :
( ( ( P @ Xp0 )
& ! [Xx1: a,Xy1: a] :
( ( R @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) ) )
=> ( Xp0 @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: a > a > $o] :
( ( ( P @ Xp )
& ! [Xx0: a,Xy0: a] :
( ( ( S @ Xx0 @ Xy0 )
| ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) ) ),
inference('cnf.neg',[status(esa)],[cTHM252A_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: ( a > a > $o ) > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( !!
@ ^ [Y2: a > a > $o] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( !!
@ ^ [Y5: a > a > $o] :
( ( ( Y0 @ Y5 )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( !!
@ ^ [Y8: a > a > $o] :
( ( ( Y0 @ Y8 )
& ( !!
@ ^ [Y9: a] :
( !!
@ ^ [Y10: a] :
( ( Y2 @ Y9 @ Y10 )
=> ( Y8 @ Y9 @ Y10 ) ) ) ) )
=> ( Y8 @ Y6 @ Y7 ) ) )
| ( !!
@ ^ [Y8: a > a > $o] :
( ( ( Y0 @ Y8 )
& ( !!
@ ^ [Y9: a] :
( !!
@ ^ [Y10: a] :
( ( Y1 @ Y9 @ Y10 )
=> ( Y8 @ Y9 @ Y10 ) ) ) ) )
=> ( Y8 @ Y6 @ Y7 ) ) ) )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) )
=> ( !!
@ ^ [Y5: a > a > $o] :
( ( ( Y0 @ Y5 )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y2 @ Y6 @ Y7 )
| ( Y1 @ Y6 @ Y7 ) )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( !!
@ ^ [Y4: a > a > $o] :
( ( ( '#sk1' @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( !!
@ ^ [Y7: a > a > $o] :
( ( ( '#sk1' @ Y7 )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( Y1 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) )
| ( !!
@ ^ [Y7: a > a > $o] :
( ( ( '#sk1' @ Y7 )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( Y0 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) )
=> ( !!
@ ^ [Y4: a > a > $o] :
( ( ( '#sk1' @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y1 @ Y5 @ Y6 )
| ( Y0 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( !!
@ ^ [Y6: a > a > $o] :
( ( ( '#sk1' @ Y6 )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) )
| ( !!
@ ^ [Y6: a > a > $o] :
( ( ( '#sk1' @ Y6 )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( '#sk2' @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y0 @ Y4 @ Y5 )
| ( '#sk2' @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( !!
@ ^ [Y5: a > a > $o] :
( ( ( '#sk1' @ Y5 )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( '#sk3' @ Y6 @ Y7 )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) )
| ( !!
@ ^ [Y5: a > a > $o] :
( ( ( '#sk1' @ Y5 )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( '#sk2' @ Y6 @ Y7 )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk3' @ Y3 @ Y4 )
| ( '#sk2' @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: a] :
( ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( !!
@ ^ [Y4: a > a > $o] :
( ( ( '#sk1' @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( '#sk3' @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) )
| ( !!
@ ^ [Y4: a > a > $o] :
( ( ( '#sk1' @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( '#sk2' @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ '#sk4' @ Y0 ) ) )
=> ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk3' @ Y2 @ Y3 )
| ( '#sk2' @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ '#sk4' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
~ ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk3' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
| ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk2' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk4' @ '#sk5' ) ) )
=> ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk3' @ Y1 @ Y2 )
| ( '#sk2' @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk4' @ '#sk5' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk3' @ Y1 @ Y2 )
| ( '#sk2' @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk4' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
~ ( ( ( '#sk1' @ '#sk6' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk3' @ Y0 @ Y1 )
| ( '#sk2' @ Y0 @ Y1 ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk6' @ '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
( ( '#sk1' @ '#sk6' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk3' @ Y0 @ Y1 )
| ( '#sk2' @ Y0 @ Y1 ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
'#sk1' @ '#sk6',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk3' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
| ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk2' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk4' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X2: a > a > $o] :
( ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk3' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
! [X2: a > a > $o] :
( ~ ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk3' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
| ( X2 @ '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
! [X2: a > a > $o] :
( ~ ( '#sk1' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk3' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk3' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk19' @ X2 ) @ Y0 ) ) )
| ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk2' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk19' @ X2 ) @ Y0 ) ) ) )
=> ( X2 @ ( '#sk19' @ X2 ) @ Y0 ) ) )
| ( X2 @ '#sk4' @ '#sk5' )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl21,plain,
! [X2: a > a > $o] :
( ~ ( ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk3' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ X2 ) @ ( '#sk29' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ X2 ) @ ( '#sk29' @ X2 ) ) ) ) )
=> ( X2 @ ( '#sk19' @ X2 ) @ ( '#sk29' @ X2 ) ) )
| ~ ( '#sk1' @ X2 )
| ( X2 @ '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
! [X2: a > a > $o] :
( ~ ( X2 @ ( '#sk19' @ X2 ) @ ( '#sk29' @ X2 ) )
| ( X2 @ '#sk4' @ '#sk5' )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl59,plain,
( ( '#sk6' @ '#sk4' @ '#sk5' )
| ~ ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl24]) ).
thf(zip_derived_cl15,plain,
~ ( '#sk6' @ '#sk4' @ '#sk5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl68,plain,
~ ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl15]) ).
thf(zip_derived_cl17_001,plain,
'#sk1' @ '#sk6',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl8_002,plain,
! [X2: a > a > $o] :
( ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk3' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
( ( ( '#sk1' @ '#sk6' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk3' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk6' @ '#sk4' @ '#sk5' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17_003,plain,
'#sk1' @ '#sk6',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl15_004,plain,
~ ( '#sk6' @ '#sk4' @ '#sk5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl186,plain,
( ( $true
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk3' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl17,zip_derived_cl15]) ).
thf(zip_derived_cl187,plain,
( (~)
@ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk3' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl188,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk3' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl187]) ).
thf(zip_derived_cl189,plain,
~ ( !!
@ ^ [Y0: a] :
( ( ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk3' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk19' @ '#sk6' ) @ Y0 ) ) )
| ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk2' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ ( '#sk19' @ '#sk6' ) @ Y0 ) ) ) )
=> ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl190,plain,
~ ( ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk3' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) ) )
=> ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl189]) ).
thf(zip_derived_cl68_005,plain,
~ ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl15]) ).
thf(zip_derived_cl191,plain,
~ ( ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk3' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl68]) ).
thf(zip_derived_cl192,plain,
~ ( (~)
@ ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk3' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl193,plain,
( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk3' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl192]) ).
thf(zip_derived_cl194,plain,
( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk3' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl195,plain,
! [X2: a > a > $o] :
( ( ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl194]) ).
thf(zip_derived_cl195_006,plain,
! [X2: a > a > $o] :
( ( ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl194]) ).
thf(zip_derived_cl199,plain,
( ~ '#form807'
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl204,plain,
! [X2: a > a > $o] :
( '#form807'
| ( ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl195,zip_derived_cl199]) ).
thf(zip_derived_cl205,plain,
! [X2: a > a > $o] :
( ~ ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
| ( X2 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) )
| '#form807' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl204]) ).
thf(zip_derived_cl207,plain,
! [X2: a > a > $o] :
( ~ ( '#sk1' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| '#form807'
| ( X2 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl209,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ ( '#sk112' @ X2 ) @ Y0 )
=> ( X2 @ ( '#sk112' @ X2 ) @ Y0 ) ) )
| ( X2 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) )
| '#form807'
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl207]) ).
thf(zip_derived_cl211,plain,
! [X2: a > a > $o] :
( ~ ( ( '#sk3' @ ( '#sk112' @ X2 ) @ ( '#sk130' @ X2 ) )
=> ( X2 @ ( '#sk112' @ X2 ) @ ( '#sk130' @ X2 ) ) )
| ~ ( '#sk1' @ X2 )
| '#form807'
| ( X2 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl209]) ).
thf(zip_derived_cl214,plain,
! [X2: a > a > $o] :
( ~ ( X2 @ ( '#sk112' @ X2 ) @ ( '#sk130' @ X2 ) )
| ( X2 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) )
| '#form807'
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl199_007,plain,
( ~ '#form807'
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl200,plain,
! [X2: a > a > $o] :
( ( ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) )
| ~ '#form807' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl199]) ).
thf(zip_derived_cl201,plain,
( ( ( ( '#sk1' @ '#sk6' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) )
| ~ '#form807' ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl17_008,plain,
'#sk1' @ '#sk6',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl68_009,plain,
~ ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl15]) ).
thf(zip_derived_cl299,plain,
( ( ( $true
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ) )
=> $false )
| ~ '#form807' ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl17,zip_derived_cl68]) ).
thf(zip_derived_cl300,plain,
( ( (~)
@ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ) )
| ~ '#form807' ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl299]) ).
thf(zip_derived_cl301,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) )
| ~ '#form807' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl300]) ).
thf(zip_derived_cl302,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ ( '#sk283' @ '#sk6' ) @ Y0 )
=> ( '#sk6' @ ( '#sk283' @ '#sk6' ) @ Y0 ) ) )
| ~ '#form807' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl301]) ).
thf(zip_derived_cl303,plain,
( ~ ( ( '#sk2' @ ( '#sk283' @ '#sk6' ) @ ( '#sk327' @ '#sk6' ) )
=> ( '#sk6' @ ( '#sk283' @ '#sk6' ) @ ( '#sk327' @ '#sk6' ) ) )
| ~ '#form807' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl302]) ).
thf(zip_derived_cl304,plain,
( ( '#sk2' @ ( '#sk283' @ '#sk6' ) @ ( '#sk327' @ '#sk6' ) )
| ~ '#form807' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl303]) ).
thf(zip_derived_cl18,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk3' @ Y0 @ Y1 )
| ( '#sk2' @ Y0 @ Y1 ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( ( '#sk3' @ X2 @ Y0 )
| ( '#sk2' @ X2 @ Y0 ) )
=> ( '#sk6' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl22,plain,
! [X2: a,X4: a] :
( ( ( '#sk3' @ X2 @ X4 )
| ( '#sk2' @ X2 @ X4 ) )
=> ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl25,plain,
! [X2: a,X4: a] :
( ~ ( ( '#sk3' @ X2 @ X4 )
| ( '#sk2' @ X2 @ X4 ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl28,plain,
! [X2: a,X4: a] :
( ~ ( '#sk2' @ X2 @ X4 )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl306,plain,
( ~ '#form807'
| ( '#sk6' @ ( '#sk283' @ '#sk6' ) @ ( '#sk327' @ '#sk6' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl28]) ).
thf(zip_derived_cl305,plain,
( ~ ( '#sk6' @ ( '#sk283' @ '#sk6' ) @ ( '#sk327' @ '#sk6' ) )
| ~ '#form807' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl303]) ).
thf(zip_derived_cl308,plain,
~ '#form807',
inference(clc,[status(thm)],[zip_derived_cl306,zip_derived_cl305]) ).
thf(zip_derived_cl332,plain,
! [X2: a > a > $o] :
( ~ ( X2 @ ( '#sk112' @ X2 ) @ ( '#sk130' @ X2 ) )
| ( X2 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) )
| ~ ( '#sk1' @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl308]) ).
thf(zip_derived_cl333,plain,
( ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) )
| ~ ( '#sk6' @ ( '#sk112' @ '#sk6' ) @ ( '#sk130' @ '#sk6' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl332]) ).
thf(zip_derived_cl17_010,plain,
'#sk1' @ '#sk6',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl213,plain,
! [X2: a > a > $o] :
( ( '#sk3' @ ( '#sk112' @ X2 ) @ ( '#sk130' @ X2 ) )
| ( X2 @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) )
| '#form807'
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl217,plain,
( '#form807'
| ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) )
| ( '#sk3' @ ( '#sk112' @ '#sk6' ) @ ( '#sk130' @ '#sk6' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl213]) ).
thf(zip_derived_cl68_011,plain,
~ ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl15]) ).
thf(zip_derived_cl226,plain,
( ( '#sk3' @ ( '#sk112' @ '#sk6' ) @ ( '#sk130' @ '#sk6' ) )
| '#form807' ),
inference(clc,[status(thm)],[zip_derived_cl217,zip_derived_cl68]) ).
thf(zip_derived_cl27,plain,
! [X2: a,X4: a] :
( ~ ( '#sk3' @ X2 @ X4 )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl227,plain,
( '#form807'
| ( '#sk6' @ ( '#sk112' @ '#sk6' ) @ ( '#sk130' @ '#sk6' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl27]) ).
thf(zip_derived_cl308_012,plain,
~ '#form807',
inference(clc,[status(thm)],[zip_derived_cl306,zip_derived_cl305]) ).
thf(zip_derived_cl312,plain,
'#sk6' @ ( '#sk112' @ '#sk6' ) @ ( '#sk130' @ '#sk6' ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl308]) ).
thf(zip_derived_cl335,plain,
'#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ),
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl312]) ).
thf(zip_derived_cl351,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV127^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.32iAHeLXTO true
% 0.13/0.35 % Computer : n002.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 03:43:16 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.68 % Total configuration time : 828
% 0.21/0.68 % Estimated wc time : 1656
% 0.21/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /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.s.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
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.17/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.46/1.32 % Solved by lams/35_full_unif4.sh.
% 1.46/1.32 % done 65 iterations in 0.545s
% 1.46/1.32 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.46/1.32 % SZS output start Refutation
% See solution above
% 1.46/1.33
% 1.46/1.33
% 1.46/1.33 % Terminating...
% 2.03/1.40 % Runner terminated.
% 2.03/1.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------