TSTP Solution File: SET598^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET598^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.77pxrEaQSE true
% Computer : n027.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 16:14:51 EDT 2023
% Result : Theorem 1.44s 1.27s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 32
% Syntax : Number of formulae : 204 ( 27 unt; 12 typ; 0 def)
% Number of atoms : 953 ( 67 equ; 0 cnn)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1885 ( 237 ~; 258 |; 110 &; 929 @)
% ( 6 <=>; 181 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 6 con; 0-2 aty)
% ( 164 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 290 ( 178 ^; 112 !; 0 ?; 290 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk2_type',type,
'#sk2': a > $o ).
thf('#sk109_type',type,
'#sk109': a > $o ).
thf('#_fresh_sk4_type',type,
'#_fresh_sk4': a ).
thf('#sk22_type',type,
'#sk22': ( a > $o ) > a ).
thf('#form111_type',type,
'#form111': $o ).
thf('#sk112_type',type,
'#sk112': a ).
thf('#form110_type',type,
'#form110': $o ).
thf('#form62_type',type,
'#form62': a > $o ).
thf('#sk14_type',type,
'#sk14': ( a > $o ) > a ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf('#sk3_type',type,
'#sk3': a > $o ).
thf(cBOOL_PROP_57_pme,conjecture,
! [X: a > $o,Y: a > $o,Z: a > $o] :
( ( X
= ( ^ [Xx: a] :
( ( Z @ Xx )
& ( Y @ Xx ) ) ) )
<=> ( ! [V: a > $o] :
( ( ! [Xx: a] :
( ( V @ Xx )
=> ( Z @ Xx ) )
& ! [Xx: a] :
( ( V @ Xx )
=> ( Y @ Xx ) ) )
=> ! [Xx: a] :
( ( V @ Xx )
=> ( X @ Xx ) ) )
& ! [Xx: a] :
( ( X @ Xx )
=> ( Z @ Xx ) )
& ! [Xx: a] :
( ( X @ Xx )
=> ( Y @ Xx ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: a > $o,Y: a > $o,Z: a > $o] :
( ( X
= ( ^ [Xx: a] :
( ( Z @ Xx )
& ( Y @ Xx ) ) ) )
<=> ( ! [V: a > $o] :
( ( ! [Xx: a] :
( ( V @ Xx )
=> ( Z @ Xx ) )
& ! [Xx: a] :
( ( V @ Xx )
=> ( Y @ Xx ) ) )
=> ! [Xx: a] :
( ( V @ Xx )
=> ( X @ Xx ) ) )
& ! [Xx: a] :
( ( X @ Xx )
=> ( Z @ Xx ) )
& ! [Xx: a] :
( ( X @ Xx )
=> ( Y @ Xx ) ) ) ),
inference('cnf.neg',[status(esa)],[cBOOL_PROP_57_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a > $o] :
( ( Y0
= ( ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( Y1 @ Y3 ) ) ) )
<=> ( ( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) ) )
=> ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( '#sk1'
= ( ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) )
<=> ( ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) )
=> ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ( '#sk1'
= ( ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( '#sk2' @ Y1 ) ) ) )
<=> ( ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( '#sk2' @ Y2 ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( '#sk1'
= ( ^ [Y0: a] :
( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) )
<=> ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( '#sk1'
= ( ^ [Y0: a] :
( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) )
!= ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( ( '#sk1'
!= ( ^ [Y0: a] :
( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) )
| ~ ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
( ( '#sk1'
!= ( ^ [Y0: a] :
( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) )
| ~ ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
( ( ( '#sk1' @ '#_fresh_sk4' )
!= ( ^ [Y0: a] :
( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
@ '#_fresh_sk4' ) )
| ~ ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
( ( ( '#sk1' @ '#_fresh_sk4' )
!= ( ( '#sk3' @ '#_fresh_sk4' )
& ( '#sk2' @ '#_fresh_sk4' ) ) )
| ~ ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl4_001,plain,
( ( '#sk1'
= ( ^ [Y0: a] :
( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) )
!= ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ( '#sk1'
= ( ^ [Y0: a] :
( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) )
| ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
( ( '#sk1'
= ( ^ [Y0: a] :
( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) ) ) )
| ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X2: a] :
( ( ( '#sk1' @ X2 )
= ( ^ [Y0: a] :
( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
@ X2 ) )
| ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X2: a] :
( ( ( '#sk1' @ X2 )
= ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) )
| ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ( ( '#sk1' @ X2 )
= ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl24,plain,
! [X2: a,X4: a] :
( ( ( '#sk1' @ X4 )
=> ( '#sk2' @ X4 ) )
| ( ( '#sk1' @ X2 )
= ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl27,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( '#sk2' @ X4 )
| ( ( '#sk1' @ X2 )
= ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl48,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 )
| ~ ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) )
| ( '#sk2' @ X4 )
| ~ ( '#sk1' @ X4 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl57,plain,
! [X2: a] :
( ( '#form62' @ X2 )
| ~ ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl14,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
| ( ( '#sk1' @ X2 )
= ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl23,plain,
! [X2: a,X4: a] :
( ( ( '#sk1' @ X4 )
=> ( '#sk3' @ X4 ) )
| ( ( '#sk1' @ X2 )
= ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl26,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( '#sk3' @ X4 )
| ( ( '#sk1' @ X2 )
= ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl47,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 )
| ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) )
| ( '#sk3' @ X4 )
| ~ ( '#sk1' @ X4 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl50,plain,
! [X2: a] :
( ~ ( '#form62' @ X2 )
| ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl122,plain,
( ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl12,zip_derived_cl57,zip_derived_cl50]) ).
thf(zip_derived_cl123,plain,
( ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl124,plain,
( ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl123]) ).
thf(zip_derived_cl126,plain,
( ~ ( ( ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk1' @ Y0 ) ) ) )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl124]) ).
thf(zip_derived_cl128,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl126]) ).
thf(zip_derived_cl128_002,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl126]) ).
thf(zip_derived_cl131,plain,
( '#form110'
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl133,plain,
( ~ '#form110'
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk1' @ Y0 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl128,zip_derived_cl131]) ).
thf(zip_derived_cl127,plain,
( ( ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl126]) ).
thf(zip_derived_cl129,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl134,plain,
( '#form111'
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl138,plain,
( ~ '#form111'
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ '#form110' ),
inference(renaming,[status(thm)],[zip_derived_cl133,zip_derived_cl134]) ).
thf(zip_derived_cl145,plain,
( ~ ( ( '#sk109' @ '#sk112' )
=> ( '#sk1' @ '#sk112' ) )
| ~ '#form110'
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ '#form111' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl138]) ).
thf(zip_derived_cl148,plain,
( ( '#sk109' @ '#sk112' )
| ~ '#form111'
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ '#form110' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl145]) ).
thf(zip_derived_cl134_003,plain,
( '#form111'
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl135,plain,
( ~ ( ( '#sk1' @ ( '#sk22' @ '#sk1' ) )
=> ( '#sk2' @ ( '#sk22' @ '#sk1' ) ) )
| '#form111' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl143,plain,
( ~ ( '#sk2' @ ( '#sk22' @ '#sk1' ) )
| '#form111' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl142,plain,
( ( '#sk1' @ ( '#sk22' @ '#sk1' ) )
| '#form111' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl27_004,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( '#sk2' @ X4 )
| ( ( '#sk1' @ X2 )
= ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl49,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 )
| ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) )
| ( '#sk2' @ X4 )
| ~ ( '#sk1' @ X4 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl57_005,plain,
! [X2: a] :
( ( '#form62' @ X2 )
| ~ ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl50_006,plain,
! [X2: a] :
( ~ ( '#form62' @ X2 )
| ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl64,plain,
! [X2: a,X4: a] :
( ( '#form62' @ X2 )
| ~ ( '#sk1' @ X4 )
| ( '#sk2' @ X4 )
| ~ ( '#sk1' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl49,zip_derived_cl57,zip_derived_cl50]) ).
thf(zip_derived_cl65,plain,
! [X0: a] :
( ~ ( '#sk1' @ X0 )
| ( '#sk2' @ X0 )
| ( '#form62' @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl50_007,plain,
! [X2: a] :
( ~ ( '#form62' @ X2 )
| ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl52,plain,
! [X2: a] :
( ( '#sk2' @ X2 )
| ~ ( '#form62' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl67,plain,
! [X0: a] :
( ( '#sk2' @ X0 )
| ~ ( '#sk1' @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl52]) ).
thf(zip_derived_cl158,plain,
( '#form111'
| ( '#sk2' @ ( '#sk22' @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl67]) ).
thf(zip_derived_cl179,plain,
'#form111',
inference(clc,[status(thm)],[zip_derived_cl143,zip_derived_cl158]) ).
thf(zip_derived_cl131_008,plain,
( '#form110'
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl132,plain,
( ~ ( ( '#sk1' @ ( '#sk14' @ '#sk1' ) )
=> ( '#sk3' @ ( '#sk14' @ '#sk1' ) ) )
| '#form110' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl140,plain,
( ~ ( '#sk3' @ ( '#sk14' @ '#sk1' ) )
| '#form110' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl139,plain,
( ( '#sk1' @ ( '#sk14' @ '#sk1' ) )
| '#form110' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl47_009,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 )
| ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) )
| ( '#sk3' @ X4 )
| ~ ( '#sk1' @ X4 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl50_010,plain,
! [X2: a] :
( ~ ( '#form62' @ X2 )
| ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl53,plain,
! [X2: a,X4: a] :
( ( '#form62' @ X2 )
| ~ ( '#sk1' @ X4 )
| ( '#sk3' @ X4 )
| ~ ( '#sk1' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl47,zip_derived_cl50]) ).
thf(zip_derived_cl54,plain,
! [X0: a] :
( ~ ( '#sk1' @ X0 )
| ( '#sk3' @ X0 )
| ( '#form62' @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl51,plain,
! [X2: a] :
( ( '#sk3' @ X2 )
| ~ ( '#form62' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl56,plain,
! [X0: a] :
( ( '#sk3' @ X0 )
| ~ ( '#sk1' @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl51]) ).
thf(zip_derived_cl153,plain,
( '#form110'
| ( '#sk3' @ ( '#sk14' @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl56]) ).
thf(zip_derived_cl174,plain,
'#form110',
inference(clc,[status(thm)],[zip_derived_cl140,zip_derived_cl153]) ).
thf(zip_derived_cl185,plain,
( ( '#sk109' @ '#sk112' )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl179,zip_derived_cl174]) ).
thf(zip_derived_cl186,plain,
( ( '#sk1' @ '#_fresh_sk4' )
| ( '#form62' @ '#_fresh_sk4' )
| ( '#sk109' @ '#sk112' ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl51_011,plain,
! [X2: a] :
( ( '#sk3' @ X2 )
| ~ ( '#form62' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl226,plain,
( ( '#sk109' @ '#sk112' )
| ( '#sk1' @ '#_fresh_sk4' )
| ( '#sk3' @ '#_fresh_sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl51]) ).
thf(zip_derived_cl56_012,plain,
! [X0: a] :
( ( '#sk3' @ X0 )
| ~ ( '#sk1' @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl51]) ).
thf(zip_derived_cl274,plain,
( ( '#sk3' @ '#_fresh_sk4' )
| ( '#sk109' @ '#sk112' ) ),
inference(clc,[status(thm)],[zip_derived_cl226,zip_derived_cl56]) ).
thf(zip_derived_cl57_013,plain,
! [X2: a] :
( ( '#form62' @ X2 )
| ~ ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl58,plain,
! [X2: a] :
( ~ ( '#sk3' @ X2 )
| ~ ( '#sk2' @ X2 )
| ( '#form62' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl276,plain,
( ( '#sk109' @ '#sk112' )
| ( '#form62' @ '#_fresh_sk4' )
| ~ ( '#sk2' @ '#_fresh_sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl58]) ).
thf(zip_derived_cl13,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) ) ) )
| ( ( '#sk1' @ X2 )
= ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
! [X2: a,X4: a > $o] :
( ( ( ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( '#sk1' @ Y0 ) ) ) )
| ( ( '#sk1' @ X2 )
= ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X0: a] :
( ( ( ( !!
@ ^ [Y0: a] :
( ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
=> ( '#sk2' @ Y0 ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
=> ( '#sk1' @ Y0 ) ) ) )
| ( ( '#sk1' @ X0 )
= ( ( '#sk3' @ X0 )
& ( '#sk2' @ X0 ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl437,plain,
! [X0: a] :
( ( !!
@ ^ [Y0: a] :
( ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
=> ( '#sk1' @ Y0 ) ) )
| ( ( '#sk1' @ X0 )
= ( ( '#sk3' @ X0 )
& ( '#sk2' @ X0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl57_014,plain,
! [X2: a] :
( ( '#form62' @ X2 )
| ~ ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl50_015,plain,
! [X2: a] :
( ~ ( '#form62' @ X2 )
| ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl438,plain,
! [X0: a] :
( ( ( '#sk1' @ X0 )
= ( '#form62' @ X0 ) )
| ( !!
@ ^ [Y0: a] :
( ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
=> ( '#sk1' @ Y0 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl437,zip_derived_cl57,zip_derived_cl50]) ).
thf(zip_derived_cl439,plain,
! [X0: a] :
( ( ( '#sk1' @ X0 )
= ( '#form62' @ X0 ) )
| ( !!
@ ^ [Y0: a] :
( ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
=> ( '#sk1' @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl438]) ).
thf(zip_derived_cl440,plain,
! [X0: a,X2: a] :
( ( ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) )
=> ( '#sk1' @ X2 ) )
| ( ( '#sk1' @ X0 )
= ( '#form62' @ X0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl439]) ).
thf(zip_derived_cl441,plain,
! [X0: a,X2: a] :
( ~ ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) )
| ( '#sk1' @ X2 )
| ( ( '#sk1' @ X0 )
= ( '#form62' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl440]) ).
thf(zip_derived_cl57_016,plain,
! [X2: a] :
( ( '#form62' @ X2 )
| ~ ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl50_017,plain,
! [X2: a] :
( ~ ( '#form62' @ X2 )
| ( ( '#sk3' @ X2 )
& ( '#sk2' @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl442,plain,
! [X0: a,X2: a] :
( ~ ( '#form62' @ X2 )
| ( ( '#sk1' @ X0 )
= ( '#form62' @ X0 ) )
| ( '#sk1' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl441,zip_derived_cl57,zip_derived_cl50]) ).
thf(zip_derived_cl495,plain,
! [X0: a] :
( ~ ( '#form62' @ X0 )
| ( '#sk1' @ X0 )
| ~ ( '#form62' @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl442]) ).
thf(zip_derived_cl498,plain,
! [X0: a] :
( ( '#sk1' @ X0 )
| ~ ( '#form62' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl495]) ).
thf(zip_derived_cl185_018,plain,
( ( '#sk109' @ '#sk112' )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl179,zip_derived_cl174]) ).
thf(zip_derived_cl187,plain,
( ~ ( '#sk1' @ '#_fresh_sk4' )
| ~ ( '#form62' @ '#_fresh_sk4' )
| ( '#sk109' @ '#sk112' ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl817,plain,
( ~ ( '#form62' @ '#_fresh_sk4' )
| ( '#sk109' @ '#sk112' )
| ~ ( '#form62' @ '#_fresh_sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl187]) ).
thf(zip_derived_cl841,plain,
( ( '#sk109' @ '#sk112' )
| ~ ( '#form62' @ '#_fresh_sk4' ) ),
inference(simplify,[status(thm)],[zip_derived_cl817]) ).
thf(zip_derived_cl996,plain,
( ~ ( '#sk2' @ '#_fresh_sk4' )
| ( '#sk109' @ '#sk112' ) ),
inference(clc,[status(thm)],[zip_derived_cl276,zip_derived_cl841]) ).
thf(zip_derived_cl186_019,plain,
( ( '#sk1' @ '#_fresh_sk4' )
| ( '#form62' @ '#_fresh_sk4' )
| ( '#sk109' @ '#sk112' ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl52_020,plain,
! [X2: a] :
( ( '#sk2' @ X2 )
| ~ ( '#form62' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl225,plain,
( ( '#sk109' @ '#sk112' )
| ( '#sk1' @ '#_fresh_sk4' )
| ( '#sk2' @ '#_fresh_sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl52]) ).
thf(zip_derived_cl67_021,plain,
! [X0: a] :
( ( '#sk2' @ X0 )
| ~ ( '#sk1' @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl52]) ).
thf(zip_derived_cl265,plain,
( ( '#sk2' @ '#_fresh_sk4' )
| ( '#sk109' @ '#sk112' ) ),
inference(clc,[status(thm)],[zip_derived_cl225,zip_derived_cl67]) ).
thf(zip_derived_cl997,plain,
'#sk109' @ '#sk112',
inference(clc,[status(thm)],[zip_derived_cl996,zip_derived_cl265]) ).
thf(zip_derived_cl498_022,plain,
! [X0: a] :
( ( '#sk1' @ X0 )
| ~ ( '#form62' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl495]) ).
thf(zip_derived_cl130,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl134_023,plain,
( '#form111'
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl137,plain,
( ~ '#form111'
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl130,zip_derived_cl134]) ).
thf(zip_derived_cl131_024,plain,
( '#form110'
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl144,plain,
( ~ '#form110'
| ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ '#form111' ),
inference(renaming,[status(thm)],[zip_derived_cl137,zip_derived_cl131]) ).
thf(zip_derived_cl147,plain,
! [X2: a] :
( ( ( '#sk109' @ X2 )
=> ( '#sk2' @ X2 ) )
| ~ '#form111'
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ '#form110' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl151,plain,
! [X2: a] :
( ~ ( '#sk109' @ X2 )
| ( '#sk2' @ X2 )
| ~ '#form110'
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ '#form111' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl147]) ).
thf(zip_derived_cl174_025,plain,
'#form110',
inference(clc,[status(thm)],[zip_derived_cl140,zip_derived_cl153]) ).
thf(zip_derived_cl179_026,plain,
'#form111',
inference(clc,[status(thm)],[zip_derived_cl143,zip_derived_cl158]) ).
thf(zip_derived_cl1843,plain,
! [X2: a] :
( ~ ( '#sk109' @ X2 )
| ( '#sk2' @ X2 )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl174,zip_derived_cl179]) ).
thf(zip_derived_cl1846,plain,
! [X0: a] :
( ~ ( '#form62' @ '#_fresh_sk4' )
| ~ ( '#form62' @ '#_fresh_sk4' )
| ( '#sk2' @ X0 )
| ~ ( '#sk109' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl1843]) ).
thf(zip_derived_cl1854,plain,
! [X0: a] :
( ~ ( '#sk109' @ X0 )
| ( '#sk2' @ X0 )
| ~ ( '#form62' @ '#_fresh_sk4' ) ),
inference(simplify,[status(thm)],[zip_derived_cl1846]) ).
thf(zip_derived_cl1858,plain,
( ~ ( '#form62' @ '#_fresh_sk4' )
| ( '#sk2' @ '#sk112' ) ),
inference('sup-',[status(thm)],[zip_derived_cl997,zip_derived_cl1854]) ).
thf(zip_derived_cl997_027,plain,
'#sk109' @ '#sk112',
inference(clc,[status(thm)],[zip_derived_cl996,zip_derived_cl265]) ).
thf(zip_derived_cl129_028,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl134_029,plain,
( '#form111'
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl136,plain,
( ~ '#form111'
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl129,zip_derived_cl134]) ).
thf(zip_derived_cl131_030,plain,
( '#form110'
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl141,plain,
( ~ '#form110'
| ( !!
@ ^ [Y0: a] :
( ( '#sk109' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ '#form111' ),
inference(renaming,[status(thm)],[zip_derived_cl136,zip_derived_cl131]) ).
thf(zip_derived_cl146,plain,
! [X2: a] :
( ( ( '#sk109' @ X2 )
=> ( '#sk3' @ X2 ) )
| ~ '#form111'
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ '#form110' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl141]) ).
thf(zip_derived_cl150,plain,
! [X2: a] :
( ~ ( '#sk109' @ X2 )
| ( '#sk3' @ X2 )
| ~ '#form110'
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ '#form111' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl174_031,plain,
'#form110',
inference(clc,[status(thm)],[zip_derived_cl140,zip_derived_cl153]) ).
thf(zip_derived_cl179_032,plain,
'#form111',
inference(clc,[status(thm)],[zip_derived_cl143,zip_derived_cl158]) ).
thf(zip_derived_cl188,plain,
! [X2: a] :
( ~ ( '#sk109' @ X2 )
| ( '#sk3' @ X2 )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl174,zip_derived_cl179]) ).
thf(zip_derived_cl189,plain,
! [X2: a] :
( ( '#sk1' @ '#_fresh_sk4' )
| ( '#form62' @ '#_fresh_sk4' )
| ( '#sk3' @ X2 )
| ~ ( '#sk109' @ X2 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl498_033,plain,
! [X0: a] :
( ( '#sk1' @ X0 )
| ~ ( '#form62' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl495]) ).
thf(zip_derived_cl1529,plain,
! [X2: a] :
( ~ ( '#sk109' @ X2 )
| ( '#sk3' @ X2 )
| ( '#sk1' @ '#_fresh_sk4' ) ),
inference(clc,[status(thm)],[zip_derived_cl189,zip_derived_cl498]) ).
thf(zip_derived_cl1530,plain,
( ( '#sk1' @ '#_fresh_sk4' )
| ( '#sk3' @ '#sk112' ) ),
inference('sup-',[status(thm)],[zip_derived_cl997,zip_derived_cl1529]) ).
thf(zip_derived_cl56_034,plain,
! [X0: a] :
( ( '#sk3' @ X0 )
| ~ ( '#sk1' @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl51]) ).
thf(zip_derived_cl1542,plain,
( ( '#sk3' @ '#sk112' )
| ( '#sk3' @ '#_fresh_sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl56]) ).
thf(zip_derived_cl58_035,plain,
! [X2: a] :
( ~ ( '#sk3' @ X2 )
| ~ ( '#sk2' @ X2 )
| ( '#form62' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl1609,plain,
( ( '#sk3' @ '#sk112' )
| ( '#form62' @ '#_fresh_sk4' )
| ~ ( '#sk2' @ '#_fresh_sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl58]) ).
thf(zip_derived_cl841_036,plain,
( ( '#sk109' @ '#sk112' )
| ~ ( '#form62' @ '#_fresh_sk4' ) ),
inference(simplify,[status(thm)],[zip_derived_cl817]) ).
thf(zip_derived_cl498_037,plain,
! [X0: a] :
( ( '#sk1' @ X0 )
| ~ ( '#form62' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl495]) ).
thf(zip_derived_cl188_038,plain,
! [X2: a] :
( ~ ( '#sk109' @ X2 )
| ( '#sk3' @ X2 )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl174,zip_derived_cl179]) ).
thf(zip_derived_cl816,plain,
! [X0: a] :
( ~ ( '#form62' @ '#_fresh_sk4' )
| ~ ( '#form62' @ '#_fresh_sk4' )
| ( '#sk3' @ X0 )
| ~ ( '#sk109' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl188]) ).
thf(zip_derived_cl840,plain,
! [X0: a] :
( ~ ( '#sk109' @ X0 )
| ( '#sk3' @ X0 )
| ~ ( '#form62' @ '#_fresh_sk4' ) ),
inference(simplify,[status(thm)],[zip_derived_cl816]) ).
thf(zip_derived_cl900,plain,
( ~ ( '#form62' @ '#_fresh_sk4' )
| ~ ( '#form62' @ '#_fresh_sk4' )
| ( '#sk3' @ '#sk112' ) ),
inference('sup-',[status(thm)],[zip_derived_cl841,zip_derived_cl840]) ).
thf(zip_derived_cl904,plain,
( ( '#sk3' @ '#sk112' )
| ~ ( '#form62' @ '#_fresh_sk4' ) ),
inference(simplify,[status(thm)],[zip_derived_cl900]) ).
thf(zip_derived_cl1645,plain,
( ~ ( '#sk2' @ '#_fresh_sk4' )
| ( '#sk3' @ '#sk112' ) ),
inference(clc,[status(thm)],[zip_derived_cl1609,zip_derived_cl904]) ).
thf(zip_derived_cl1530_039,plain,
( ( '#sk1' @ '#_fresh_sk4' )
| ( '#sk3' @ '#sk112' ) ),
inference('sup-',[status(thm)],[zip_derived_cl997,zip_derived_cl1529]) ).
thf(zip_derived_cl67_040,plain,
! [X0: a] :
( ( '#sk2' @ X0 )
| ~ ( '#sk1' @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl52]) ).
thf(zip_derived_cl1541,plain,
( ( '#sk3' @ '#sk112' )
| ( '#sk2' @ '#_fresh_sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl67]) ).
thf(zip_derived_cl1646,plain,
'#sk3' @ '#sk112',
inference(clc,[status(thm)],[zip_derived_cl1645,zip_derived_cl1541]) ).
thf(zip_derived_cl58_041,plain,
! [X2: a] :
( ~ ( '#sk3' @ X2 )
| ~ ( '#sk2' @ X2 )
| ( '#form62' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl1648,plain,
( ( '#form62' @ '#sk112' )
| ~ ( '#sk2' @ '#sk112' ) ),
inference('sup-',[status(thm)],[zip_derived_cl1646,zip_derived_cl58]) ).
thf(zip_derived_cl498_042,plain,
! [X0: a] :
( ( '#sk1' @ X0 )
| ~ ( '#form62' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl495]) ).
thf(zip_derived_cl149,plain,
( ~ ( '#sk1' @ '#sk112' )
| ~ '#form111'
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) )
| ~ '#form110' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl145]) ).
thf(zip_derived_cl174_043,plain,
'#form110',
inference(clc,[status(thm)],[zip_derived_cl140,zip_derived_cl153]) ).
thf(zip_derived_cl175,plain,
( ~ ( '#sk1' @ '#sk112' )
| ~ '#form111'
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl174]) ).
thf(zip_derived_cl179_044,plain,
'#form111',
inference(clc,[status(thm)],[zip_derived_cl143,zip_derived_cl158]) ).
thf(zip_derived_cl180,plain,
( ~ ( '#sk1' @ '#sk112' )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl179]) ).
thf(zip_derived_cl183,plain,
( ( '#sk1' @ '#_fresh_sk4' )
| ( '#form62' @ '#_fresh_sk4' )
| ~ ( '#sk1' @ '#sk112' ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl813,plain,
( ~ ( '#form62' @ '#sk112' )
| ( '#form62' @ '#_fresh_sk4' )
| ( '#sk1' @ '#_fresh_sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl183]) ).
thf(zip_derived_cl498_045,plain,
! [X0: a] :
( ( '#sk1' @ X0 )
| ~ ( '#form62' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl495]) ).
thf(zip_derived_cl498_046,plain,
! [X0: a] :
( ( '#sk1' @ X0 )
| ~ ( '#form62' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl495]) ).
thf(zip_derived_cl180_047,plain,
( ~ ( '#sk1' @ '#sk112' )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl179]) ).
thf(zip_derived_cl814,plain,
( ~ ( '#form62' @ '#sk112' )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl180]) ).
thf(zip_derived_cl854,plain,
( ~ ( '#form62' @ '#_fresh_sk4' )
| ~ ( '#form62' @ '#_fresh_sk4' )
| ~ ( '#form62' @ '#sk112' ) ),
inference('sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl814]) ).
thf(zip_derived_cl860,plain,
( ~ ( '#form62' @ '#sk112' )
| ~ ( '#form62' @ '#_fresh_sk4' ) ),
inference(simplify,[status(thm)],[zip_derived_cl854]) ).
thf(zip_derived_cl1419,plain,
( ( '#sk1' @ '#_fresh_sk4' )
| ~ ( '#form62' @ '#sk112' ) ),
inference(clc,[status(thm)],[zip_derived_cl813,zip_derived_cl860]) ).
thf(zip_derived_cl56_048,plain,
! [X0: a] :
( ( '#sk3' @ X0 )
| ~ ( '#sk1' @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl51]) ).
thf(zip_derived_cl1427,plain,
( ~ ( '#form62' @ '#sk112' )
| ( '#sk3' @ '#_fresh_sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl1419,zip_derived_cl56]) ).
thf(zip_derived_cl58_049,plain,
! [X2: a] :
( ~ ( '#sk3' @ X2 )
| ~ ( '#sk2' @ X2 )
| ( '#form62' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl1467,plain,
( ~ ( '#form62' @ '#sk112' )
| ( '#form62' @ '#_fresh_sk4' )
| ~ ( '#sk2' @ '#_fresh_sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl1427,zip_derived_cl58]) ).
thf(zip_derived_cl860_050,plain,
( ~ ( '#form62' @ '#sk112' )
| ~ ( '#form62' @ '#_fresh_sk4' ) ),
inference(simplify,[status(thm)],[zip_derived_cl854]) ).
thf(zip_derived_cl1484,plain,
( ~ ( '#sk2' @ '#_fresh_sk4' )
| ~ ( '#form62' @ '#sk112' ) ),
inference(clc,[status(thm)],[zip_derived_cl1467,zip_derived_cl860]) ).
thf(zip_derived_cl1419_051,plain,
( ( '#sk1' @ '#_fresh_sk4' )
| ~ ( '#form62' @ '#sk112' ) ),
inference(clc,[status(thm)],[zip_derived_cl813,zip_derived_cl860]) ).
thf(zip_derived_cl67_052,plain,
! [X0: a] :
( ( '#sk2' @ X0 )
| ~ ( '#sk1' @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl52]) ).
thf(zip_derived_cl1426,plain,
( ~ ( '#form62' @ '#sk112' )
| ( '#sk2' @ '#_fresh_sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl1419,zip_derived_cl67]) ).
thf(zip_derived_cl1485,plain,
~ ( '#form62' @ '#sk112' ),
inference(clc,[status(thm)],[zip_derived_cl1484,zip_derived_cl1426]) ).
thf(zip_derived_cl1663,plain,
~ ( '#sk2' @ '#sk112' ),
inference(clc,[status(thm)],[zip_derived_cl1648,zip_derived_cl1485]) ).
thf(zip_derived_cl1871,plain,
~ ( '#form62' @ '#_fresh_sk4' ),
inference(clc,[status(thm)],[zip_derived_cl1858,zip_derived_cl1663]) ).
thf(zip_derived_cl997_053,plain,
'#sk109' @ '#sk112',
inference(clc,[status(thm)],[zip_derived_cl996,zip_derived_cl265]) ).
thf(zip_derived_cl1843_054,plain,
! [X2: a] :
( ~ ( '#sk109' @ X2 )
| ( '#sk2' @ X2 )
| ( ( '#sk1' @ '#_fresh_sk4' )
!= ( '#form62' @ '#_fresh_sk4' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl174,zip_derived_cl179]) ).
thf(zip_derived_cl1871_055,plain,
~ ( '#form62' @ '#_fresh_sk4' ),
inference(clc,[status(thm)],[zip_derived_cl1858,zip_derived_cl1663]) ).
thf(zip_derived_cl1874,plain,
! [X2: a] :
( ~ ( '#sk109' @ X2 )
| ( '#sk2' @ X2 )
| ( '#sk1' @ '#_fresh_sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl1843,zip_derived_cl1871]) ).
thf(zip_derived_cl1896,plain,
( ( '#sk1' @ '#_fresh_sk4' )
| ( '#sk2' @ '#sk112' ) ),
inference('sup-',[status(thm)],[zip_derived_cl997,zip_derived_cl1874]) ).
thf(zip_derived_cl1663_056,plain,
~ ( '#sk2' @ '#sk112' ),
inference(clc,[status(thm)],[zip_derived_cl1648,zip_derived_cl1485]) ).
thf(zip_derived_cl1902,plain,
'#sk1' @ '#_fresh_sk4',
inference(clc,[status(thm)],[zip_derived_cl1896,zip_derived_cl1663]) ).
thf(zip_derived_cl56_057,plain,
! [X0: a] :
( ( '#sk3' @ X0 )
| ~ ( '#sk1' @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl51]) ).
thf(zip_derived_cl1908,plain,
'#sk3' @ '#_fresh_sk4',
inference('sup-',[status(thm)],[zip_derived_cl1902,zip_derived_cl56]) ).
thf(zip_derived_cl58_058,plain,
! [X2: a] :
( ~ ( '#sk3' @ X2 )
| ~ ( '#sk2' @ X2 )
| ( '#form62' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl1960,plain,
( ( '#form62' @ '#_fresh_sk4' )
| ~ ( '#sk2' @ '#_fresh_sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl1908,zip_derived_cl58]) ).
thf(zip_derived_cl1902_059,plain,
'#sk1' @ '#_fresh_sk4',
inference(clc,[status(thm)],[zip_derived_cl1896,zip_derived_cl1663]) ).
thf(zip_derived_cl67_060,plain,
! [X0: a] :
( ( '#sk2' @ X0 )
| ~ ( '#sk1' @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl52]) ).
thf(zip_derived_cl1907,plain,
'#sk2' @ '#_fresh_sk4',
inference('sup-',[status(thm)],[zip_derived_cl1902,zip_derived_cl67]) ).
thf(zip_derived_cl1969,plain,
'#form62' @ '#_fresh_sk4',
inference(demod,[status(thm)],[zip_derived_cl1960,zip_derived_cl1907]) ).
thf(zip_derived_cl1982,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1871,zip_derived_cl1969]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET598^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.77pxrEaQSE true
% 0.16/0.36 % Computer : n027.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat Aug 26 10:37:05 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in HO mode
% 0.23/0.66 % Total configuration time : 828
% 0.23/0.66 % Estimated wc time : 1656
% 0.23/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.23/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.44/1.27 % Solved by lams/20_acsne_simpl.sh.
% 1.44/1.27 % done 335 iterations in 0.368s
% 1.44/1.27 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.44/1.27 % SZS output start Refutation
% See solution above
% 1.44/1.28
% 1.44/1.28
% 1.44/1.28 % Terminating...
% 1.95/1.40 % Runner terminated.
% 1.95/1.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------