TSTP Solution File: SEV063^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV063^5 : 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.mGwbHjFM3t true
% Computer : n010.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 19:59:28 EDT 2023
% Result : Theorem 1.48s 1.12s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 16
% Syntax : Number of formulae : 97 ( 6 unt; 12 typ; 0 def)
% Number of atoms : 532 ( 0 equ; 0 cnn)
% Maximal formula atoms : 24 ( 6 avg)
% Number of connectives : 1738 ( 63 ~; 74 |; 103 &;1116 @)
% ( 0 <=>; 145 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 114 ( 114 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% ( 237 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 324 ( 237 ^; 87 !; 0 ?; 324 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk65_type',type,
'#sk65': ( a > a > $o ) > a ).
thf('#form139_type',type,
'#form139': ( a > a > $o ) > $o ).
thf('#sk1_type',type,
'#sk1': a > a > $o ).
thf('#sk88_type',type,
'#sk88': ( a > a > $o ) > a ).
thf('#sk5_type',type,
'#sk5': a > a > $o ).
thf('#sk180_type',type,
'#sk180': ( a > a > $o ) > a ).
thf('#sk140_type',type,
'#sk140': ( a > a > $o ) > a ).
thf('#sk46_type',type,
'#sk46': ( a > a > $o ) > a ).
thf('#sk3_type',type,
'#sk3': a ).
thf('#sk4_type',type,
'#sk4': a ).
thf('#sk2_type',type,
'#sk2': a ).
thf(cTHM136_pme,conjecture,
! [Xr: a > a > $o,Xx: a,Xy: a,Xz: a] :
( ( ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xy0 @ Xz0 )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz0 ) )
& ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xy @ Xz ) )
& ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xy0 @ Xz0 )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz0 ) )
& ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) ) )
=> ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xy0 @ Xz0 )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz0 ) )
& ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xz ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xr: a > a > $o,Xx: a,Xy: a,Xz: a] :
( ( ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xy0 @ Xz0 )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz0 ) )
& ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xy @ Xz ) )
& ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xy0 @ Xz0 )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz0 ) )
& ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) ) )
=> ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xy0 @ Xz0 )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz0 ) )
& ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xz ) ) ),
inference('cnf.neg',[status(esa)],[cTHM136_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [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] :
( ( Y0 @ 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] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y1 @ Y2 ) ) ) )
=> ( !!
@ ^ [Y4: a > a > $o] :
( ( ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [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] :
( ( '#sk1' @ 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 @ Y0 @ Y1 ) ) ) )
=> ( !!
@ ^ [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 @ Y0 @ 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] :
( ( '#sk1' @ 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 @ '#sk2' @ Y0 ) ) ) )
=> ( !!
@ ^ [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 @ '#sk2' @ 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] :
( ( '#sk1' @ 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] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ '#sk2' @ '#sk3' ) ) ) )
=> ( !!
@ ^ [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 @ '#sk2' @ 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] :
( ( '#sk1' @ 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] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) ) )
=> ( !!
@ ^ [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 @ '#sk2' @ '#sk4' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
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] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
~ ( ( ( !!
@ ^ [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' @ '#sk2' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl17,plain,
~ ( '#sk5' @ '#sk2' @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
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] :
( ( '#sk1' @ 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] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [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 @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
! [X2: a > a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl14,plain,
( ( ( !!
@ ^ [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' @ '#sk2' @ '#sk3' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl111,plain,
( ~ ( ( !!
@ ^ [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' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl112,plain,
( ~ ( !!
@ ^ [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' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [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 @ '#sk3' @ '#sk4' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: a > a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl18,plain,
! [X2: a > a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl22,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl26,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( X2 @ Y0 @ Y1 )
& ( X2 @ ( '#sk46' @ X2 ) @ Y0 ) )
=> ( X2 @ ( '#sk46' @ X2 ) @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl30,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ( X2 @ ( '#sk65' @ X2 ) @ Y0 )
& ( X2 @ ( '#sk46' @ X2 ) @ ( '#sk65' @ X2 ) ) )
=> ( X2 @ ( '#sk46' @ X2 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl34,plain,
! [X2: a > a > $o] :
( ~ ( ( ( X2 @ ( '#sk65' @ X2 ) @ ( '#sk88' @ X2 ) )
& ( X2 @ ( '#sk46' @ X2 ) @ ( '#sk65' @ X2 ) ) )
=> ( X2 @ ( '#sk46' @ X2 ) @ ( '#sk88' @ X2 ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl37,plain,
! [X2: a > a > $o] :
( ( ( X2 @ ( '#sk65' @ X2 ) @ ( '#sk88' @ X2 ) )
& ( X2 @ ( '#sk46' @ X2 ) @ ( '#sk65' @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl42,plain,
! [X2: a > a > $o] :
( ( '#form139' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl113,plain,
( ~ ( '#form139' @ '#sk5' )
| ( '#sk5' @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl112,zip_derived_cl42]) ).
thf(zip_derived_cl42_001,plain,
! [X2: a > a > $o] :
( ( '#form139' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl43,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ ( '#sk140' @ X2 ) @ Y0 )
=> ( X2 @ ( '#sk140' @ X2 ) @ Y0 ) ) )
| ( '#form139' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl50,plain,
! [X2: a > a > $o] :
( ~ ( ( '#sk1' @ ( '#sk140' @ X2 ) @ ( '#sk180' @ X2 ) )
=> ( X2 @ ( '#sk140' @ X2 ) @ ( '#sk180' @ X2 ) ) )
| ( '#form139' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl56,plain,
! [X2: a > a > $o] :
( ( '#sk1' @ ( '#sk140' @ X2 ) @ ( '#sk180' @ X2 ) )
| ( '#form139' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl16,plain,
( ( !!
@ ^ [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 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl21,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl25,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk5' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl29,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
=> ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl33,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl62,plain,
! [X0: a > a > $o] :
( ( '#form139' @ X0 )
| ( '#sk5' @ ( '#sk140' @ X0 ) @ ( '#sk180' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl33]) ).
thf(zip_derived_cl57,plain,
! [X2: a > a > $o] :
( ~ ( X2 @ ( '#sk140' @ X2 ) @ ( '#sk180' @ X2 ) )
| ( '#form139' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl95,plain,
( ( '#form139' @ '#sk5' )
| ( '#form139' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl57]) ).
thf(zip_derived_cl104,plain,
'#form139' @ '#sk5',
inference(simplify,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl114,plain,
( ( '#sk5' @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl104]) ).
thf(zip_derived_cl115,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk5' @ Y0 @ Y1 )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ Y0 ) )
=> ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ Y1 ) ) ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl116,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ Y0 )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ Y0 ) ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl117,plain,
( ~ ( ( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl118,plain,
( ( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl121,plain,
( ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl120,plain,
( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl20,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl24,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk5' @ Y0 @ Y1 )
& ( '#sk5' @ X2 @ Y0 ) )
=> ( '#sk5' @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( ( '#sk5' @ X4 @ Y0 )
& ( '#sk5' @ X2 @ X4 ) )
=> ( '#sk5' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl32,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk5' @ X4 @ X6 )
& ( '#sk5' @ X2 @ X4 ) )
=> ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl36,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( ( '#sk5' @ X4 @ X6 )
& ( '#sk5' @ X2 @ X4 ) )
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl41,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk5' @ X4 @ X6 )
| ~ ( '#sk5' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl131,plain,
! [X0: a] :
( ( '#sk5' @ '#sk2' @ '#sk3' )
| ( '#sk5' @ X0 @ ( '#sk88' @ '#sk5' ) )
| ~ ( '#sk5' @ X0 @ ( '#sk65' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl41]) ).
thf(zip_derived_cl356,plain,
( ( '#sk5' @ '#sk2' @ '#sk3' )
| ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl131]) ).
thf(zip_derived_cl360,plain,
( ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(simplify,[status(thm)],[zip_derived_cl356]) ).
thf(zip_derived_cl119,plain,
( ~ ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl362,plain,
'#sk5' @ '#sk2' @ '#sk3',
inference(clc,[status(thm)],[zip_derived_cl360,zip_derived_cl119]) ).
thf(zip_derived_cl10_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] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
( ( ( !!
@ ^ [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' @ '#sk3' @ '#sk4' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl66,plain,
( ~ ( ( !!
@ ^ [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' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl67,plain,
( ~ ( !!
@ ^ [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' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl42_003,plain,
! [X2: a > a > $o] :
( ( '#form139' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl68,plain,
( ~ ( '#form139' @ '#sk5' )
| ( '#sk5' @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl67,zip_derived_cl42]) ).
thf(zip_derived_cl69,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk5' @ Y0 @ Y1 )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ Y0 ) )
=> ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ Y1 ) ) ) )
| ( '#sk5' @ '#sk3' @ '#sk4' )
| ~ ( '#form139' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl70,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ Y0 )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ Y0 ) ) )
| ~ ( '#form139' @ '#sk5' )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl71,plain,
( ~ ( ( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) ) )
| ( '#sk5' @ '#sk3' @ '#sk4' )
| ~ ( '#form139' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl72,plain,
( ( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) ) )
| ~ ( '#form139' @ '#sk5' )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl75,plain,
( ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) )
| ( '#sk5' @ '#sk3' @ '#sk4' )
| ~ ( '#form139' @ '#sk5' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl104_004,plain,
'#form139' @ '#sk5',
inference(simplify,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl110,plain,
( ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl104]) ).
thf(zip_derived_cl74,plain,
( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk3' @ '#sk4' )
| ~ ( '#form139' @ '#sk5' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl104_005,plain,
'#form139' @ '#sk5',
inference(simplify,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl109,plain,
( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl104]) ).
thf(zip_derived_cl41_006,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk5' @ X4 @ X6 )
| ~ ( '#sk5' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl127,plain,
! [X0: a] :
( ( '#sk5' @ '#sk3' @ '#sk4' )
| ( '#sk5' @ X0 @ ( '#sk88' @ '#sk5' ) )
| ~ ( '#sk5' @ X0 @ ( '#sk65' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl41]) ).
thf(zip_derived_cl157,plain,
( ( '#sk5' @ '#sk3' @ '#sk4' )
| ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl127]) ).
thf(zip_derived_cl164,plain,
( ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(simplify,[status(thm)],[zip_derived_cl157]) ).
thf(zip_derived_cl73,plain,
( ~ ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ~ ( '#form139' @ '#sk5' )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl104_007,plain,
'#form139' @ '#sk5',
inference(simplify,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl108,plain,
( ~ ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl104]) ).
thf(zip_derived_cl235,plain,
'#sk5' @ '#sk3' @ '#sk4',
inference(clc,[status(thm)],[zip_derived_cl164,zip_derived_cl108]) ).
thf(zip_derived_cl41_008,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk5' @ X4 @ X6 )
| ~ ( '#sk5' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl236,plain,
! [X0: a] :
( ( '#sk5' @ X0 @ '#sk4' )
| ~ ( '#sk5' @ X0 @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl235,zip_derived_cl41]) ).
thf(zip_derived_cl363,plain,
'#sk5' @ '#sk2' @ '#sk4',
inference('sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl236]) ).
thf(zip_derived_cl365,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl363]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV063^5 : 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.mGwbHjFM3t true
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 03:35:36 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.69 % Total configuration time : 828
% 0.22/0.69 % Estimated wc time : 1656
% 0.22/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.40/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.40/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.48/1.12 % Solved by lams/35_full_unif4.sh.
% 1.48/1.12 % done 55 iterations in 0.319s
% 1.48/1.12 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.48/1.12 % SZS output start Refutation
% See solution above
% 1.48/1.12
% 1.48/1.12
% 1.48/1.12 % Terminating...
% 1.93/1.20 % Runner terminated.
% 1.93/1.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------