TSTP Solution File: SEU876^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU876^5 : 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.wEq9WYPmIA true
% Computer : n012.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 19:18:41 EDT 2023
% Result : Theorem 50.28s 7.11s
% Output : Refutation 50.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 26
% Syntax : Number of formulae : 92 ( 10 unt; 13 typ; 0 def)
% Number of atoms : 566 ( 54 equ; 0 cnn)
% Maximal formula atoms : 29 ( 7 avg)
% Number of connectives : 1442 ( 103 ~; 138 |; 93 &; 753 @)
% ( 0 <=>; 197 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 201 ( 201 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 12 usr; 3 con; 0-3 aty)
% ( 153 !!; 5 ??; 0 @@+; 0 @@-)
% Number of variables : 340 ( 241 ^; 97 !; 2 ?; 340 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#l_lift17948_type',type,
'#l_lift17948': ( ( a > $o ) > $o ) > a > $o ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf('#sk50_type',type,
'#sk50': ( a > $o ) > a ).
thf('#form59_type',type,
'#form59': ( a > $o ) > $o ).
thf('#sk11_type',type,
'#sk11': ( ( a > $o ) > $o ) > a > $o ).
thf(cA_type,type,
cA: ( a > $o ) > $o ).
thf('#sk23_type',type,
'#sk23': ( a > $o ) > ( a > $o ) > $o ).
thf('#sk27_type',type,
'#sk27': ( ( a > $o ) > $o ) > a ).
thf('#l_lift17947_type',type,
'#l_lift17947': a > $o ).
thf(cE_type,type,
cE: a > $o ).
thf('#l_lift17949_type',type,
'#l_lift17949': ( a > $o ) > a > a > $o ).
thf('#form49_type',type,
'#form49': ( a > $o ) > $o ).
thf(cDOMLEMMA4_pme,conjecture,
( ! [X: ( a > $o ) > $o] :
( ( ! [Xx: a > $o] :
( ( X @ Xx )
=> ! [Xt: a] :
( ( cE @ Xt )
=> ( X
@ ^ [Xz: a] :
( ( Xt = Xz )
| ( Xx @ Xz ) ) ) ) )
& ( X
@ ^ [Xy: a] : $false ) )
=> ( X @ cE ) )
=> ( ! [Xx: a > $o] :
( ( ! [Xx0: a] :
( ( cE @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( cA @ Xx ) )
=> ? [Xe: a > $o] :
( ! [X: ( a > $o ) > $o] :
( ( ! [Xx0: a > $o] :
( ( X @ Xx0 )
=> ! [Xt: a] :
( ( Xe @ Xt )
=> ( X
@ ^ [Xz: a] :
( ( Xt = Xz )
| ( Xx0 @ Xz ) ) ) ) )
& ( X
@ ^ [Xy: a] : $false ) )
=> ( X @ Xe ) )
& ! [Xx0: a] :
( ( Xe @ Xx0 )
=> ( Xx @ Xx0 ) )
& ! [Xy: a > $o] :
( ( ! [Xx0: a] :
( ( Xe @ Xx0 )
=> ( Xy @ Xx0 ) )
& ( cA @ Xy ) )
=> ( ! [Xx0: a] :
( ( cE @ Xx0 )
=> ( Xy @ Xx0 ) )
& ( cA @ Xy ) ) ) ) )
& ! [Xx: a > $o] :
( ( ! [Xx0: a] :
( ( cE @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( cA @ Xx ) )
=> ( cA @ Xx ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [X: ( a > $o ) > $o] :
( ( ! [Xx: a > $o] :
( ( X @ Xx )
=> ! [Xt: a] :
( ( cE @ Xt )
=> ( X
@ ^ [Xz: a] :
( ( Xt = Xz )
| ( Xx @ Xz ) ) ) ) )
& ( X
@ ^ [Xy: a] : $false ) )
=> ( X @ cE ) )
=> ( ! [Xx: a > $o] :
( ( ! [Xx0: a] :
( ( cE @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( cA @ Xx ) )
=> ? [Xe: a > $o] :
( ! [X: ( a > $o ) > $o] :
( ( ! [Xx0: a > $o] :
( ( X @ Xx0 )
=> ! [Xt: a] :
( ( Xe @ Xt )
=> ( X
@ ^ [Xz: a] :
( ( Xt = Xz )
| ( Xx0 @ Xz ) ) ) ) )
& ( X
@ ^ [Xy: a] : $false ) )
=> ( X @ Xe ) )
& ! [Xx0: a] :
( ( Xe @ Xx0 )
=> ( Xx @ Xx0 ) )
& ! [Xy: a > $o] :
( ( ! [Xx0: a] :
( ( Xe @ Xx0 )
=> ( Xy @ Xx0 ) )
& ( cA @ Xy ) )
=> ( ! [Xx0: a] :
( ( cE @ Xx0 )
=> ( Xy @ Xx0 ) )
& ( cA @ Xy ) ) ) ) )
& ! [Xx: a > $o] :
( ( ! [Xx0: a] :
( ( cE @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( cA @ Xx ) )
=> ( cA @ Xx ) ) ) ),
inference('cnf.neg',[status(esa)],[cDOMLEMMA4_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( cE @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cE ) ) )
=> ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !!
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !!
@ ^ [Y3: a] :
( ( cE @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( cA @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( cE @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cE ) ) )
=> ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !!
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !!
@ ^ [Y3: a] :
( ( cE @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !!
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !!
@ ^ [Y3: a] :
( ( cE @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( ( cE @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
& ( cA @ '#sk1' ) )
=> ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) )
=> ( ( !!
@ ^ [Y2: a] :
( ( cE @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) )
=> ( ( !!
@ ^ [Y2: a] :
( ( cE @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: a > $o] :
~ ( ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( X2 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ X2 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl67,plain,
~ ( ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( cE @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cE ) ) )
& ( !!
@ ^ [Y0: a] :
( ( cE @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl113,plain,
~ ( ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( cE @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cE ) ) )
& ( !!
@ ^ [Y0: a] :
( ( cE @ Y0 )
=> ( '#sk1' @ Y0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl114,plain,
( ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( cE @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cE ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( cE @ Y0 )
=> ( '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl12_001,plain,
! [X2: a > $o] :
~ ( ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( X2 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ X2 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
! [X2: a > $o] :
( ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( X2 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl22,plain,
! [X2: a > $o] :
( ~ ( ( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk23' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk23' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
& ( '#sk23' @ X2
@ ^ [Y0: a] : $false ) )
=> ( '#sk23' @ X2 @ X2 ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl25,plain,
! [X2: a > $o] :
( ~ ( '#sk23' @ X2 @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl30,plain,
! [X2: a > $o] :
( ( '#form49' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl115,plain,
( ~ ( '#form49' @ cE )
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( cE @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cE ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl114,zip_derived_cl30]) ).
thf(zip_derived_cl116,plain,
( ~ ( ( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk23' @ cE @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( '#sk23' @ cE
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
& ( '#sk23' @ cE
@ ^ [Y0: a] : $false ) )
=> ( '#sk23' @ cE @ cE ) )
| ~ ( '#form49' @ cE ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl118,plain,
( ~ ( '#sk23' @ cE @ cE )
| ~ ( '#form49' @ cE ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl30_002,plain,
! [X2: a > $o] :
( ( '#form49' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl31,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ ( '#sk50' @ X2 ) )
=> ( '#sk1' @ ( '#sk50' @ X2 ) ) )
| ( '#form49' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl39,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk50' @ X2 ) )
| ( '#form49' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl7,plain,
( ( !!
@ ^ [Y0: a] :
( ( cE @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
& ( cA @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
( !!
@ ^ [Y0: a] :
( ( cE @ Y0 )
=> ( '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl16,plain,
! [X2: a] :
( ( cE @ X2 )
=> ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl20,plain,
! [X2: a] :
( ~ ( cE @ X2 )
| ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl419,plain,
( ( '#form49' @ cE )
| ( '#sk1' @ ( '#sk50' @ cE ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl20]) ).
thf(zip_derived_cl40,plain,
! [X2: a > $o] :
( ~ ( '#sk1' @ ( '#sk50' @ X2 ) )
| ( '#form49' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl459,plain,
'#form49' @ cE,
inference(clc,[status(thm)],[zip_derived_cl419,zip_derived_cl40]) ).
thf(zip_derived_cl460,plain,
~ ( '#sk23' @ cE @ cE ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl459]) ).
thf(zip_derived_cl459_003,plain,
'#form49' @ cE,
inference(clc,[status(thm)],[zip_derived_cl419,zip_derived_cl40]) ).
thf(zip_derived_cl24,plain,
! [X2: a > $o] :
( ( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk23' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk23' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
& ( '#sk23' @ X2
@ ^ [Y0: a] : $false ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl28,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk23' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk23' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl28_004,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk23' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk23' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl33,plain,
! [X2: a > $o] :
( ( '#form59' @ X2 )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl36,plain,
! [X2: a > $o] :
( ~ ( '#form59' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
| ( !!
@ ^ [Y0: a > $o] :
( ( '#sk23' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk23' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl28,zip_derived_cl33]) ).
thf(zip_derived_cl30_005,plain,
! [X2: a > $o] :
( ( '#form49' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl41,plain,
! [X2: a > $o] :
( ~ ( '#form49'
@ ^ [Y0: a] : ( X2 @ Y0 ) )
| ( !!
@ ^ [Y0: a > $o] :
( ( '#sk23' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk23' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( '#form59' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl36,zip_derived_cl30]) ).
thf(zip_derived_cl47,plain,
! [X2: a > $o] :
( ~ ( '#form49' @ X2 )
| ( !!
@ ^ [Y0: a > $o] :
( ( '#sk23' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk23' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( '#form59' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl48,plain,
! [X2: a > $o,X4: a > $o] :
( ( ( '#sk23' @ X2 @ X4 )
=> ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk23' @ X2
@ ^ [Y1: a] :
( ( Y0 = Y1 )
| ( X4 @ Y1 ) ) ) ) ) )
| ~ ( '#form59' @ X2 )
| ~ ( '#form49' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl56,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( '#sk23' @ X2 @ X4 )
| ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk23' @ X2
@ ^ [Y1: a] :
( ( Y0 = Y1 )
| ( X4 @ Y1 ) ) ) ) )
| ~ ( '#form49' @ X2 )
| ~ ( '#form59' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl59,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ( ( X2 @ X6 )
=> ( '#sk23' @ X2
@ ^ [Y0: a] :
( ( X6 = Y0 )
| ( X4 @ Y0 ) ) ) )
| ~ ( '#form59' @ X2 )
| ~ ( '#form49' @ X2 )
| ~ ( '#sk23' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl63,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ~ ( X2 @ X6 )
| ( '#sk23' @ X2
@ ^ [Y0: a] :
( ( X6 = Y0 )
| ( X4 @ Y0 ) ) )
| ~ ( '#sk23' @ X2 @ X4 )
| ~ ( '#form49' @ X2 )
| ~ ( '#form59' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( cE @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ cE ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X2: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y0: a > $o] :
( ( X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
& ( X2
@ ^ [Y0: a] : $false ) )
=> ( X2 @ cE ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( ( !!
@ ^ [Y0: a > $o] :
( ( X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
& ( X2
@ ^ [Y0: a] : $false ) )
| ( X2 @ cE ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( !!
@ ^ [Y0: a > $o] :
( ( X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ cE ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl15,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( ( X2 @ ( '#sk11' @ X2 ) )
=> ( !!
@ ^ [Y0: a] :
( ( cE @ Y0 )
=> ( X2
@ ^ [Y1: a] :
( ( Y0 = Y1 )
| ( '#sk11' @ X2 @ Y1 ) ) ) ) ) )
| ( X2 @ cE )
| ~ ( X2
@ ^ [Y0: a] : $false ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl19,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( cE @ Y0 )
=> ( X2
@ ^ [Y1: a] :
( ( Y0 = Y1 )
| ( '#sk11' @ X2 @ Y1 ) ) ) ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ cE ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl23,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( ( cE @ ( '#sk27' @ X2 ) )
=> ( X2
@ ^ [Y0: a] :
( ( ( '#sk27' @ X2 )
= Y0 )
| ( '#sk11' @ X2 @ Y0 ) ) ) )
| ( X2 @ cE )
| ~ ( X2
@ ^ [Y0: a] : $false ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl27,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( X2
@ ^ [Y0: a] :
( ( ( '#sk27' @ X2 )
= Y0 )
| ( '#sk11' @ X2 @ Y0 ) ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ cE ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl7748,plain,
! [X2: ( a > $o ) > $o,X3: a] :
( ( '#l_lift17948' @ X2 @ X3 )
= ( ( ( '#sk27' @ X2 )
= X3 )
| ( '#sk11' @ X2 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7752,plain,
! [X0: ( a > $o ) > $o] :
( ( '#l_lift17949' @ ( '#sk11' @ X0 ) @ ( '#sk27' @ X0 ) )
= ( '#l_lift17948' @ X0 ) ),
define([status(thm)]) ).
thf(zip_derived_cl27_006,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( X2
@ ^ [Y0: a] :
( ( ( '#sk27' @ X2 )
= Y0 )
| ( '#sk11' @ X2 @ Y0 ) ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ cE ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl18,plain,
! [X2: ( a > $o ) > $o] :
( ( X2 @ ( '#sk11' @ X2 ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ cE ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl7745,plain,
! [X3: a] :
~ ( '#l_lift17947' @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7748_007,plain,
! [X2: ( a > $o ) > $o,X3: a] :
( ( '#l_lift17948' @ X2 @ X3 )
= ( ( ( '#sk27' @ X2 )
= X3 )
| ( '#sk11' @ X2 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7749,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( X2 @ ( '#l_lift17948' @ X2 ) )
| ~ ( X2 @ '#l_lift17947' )
| ( X2 @ cE ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl27,zip_derived_cl7745,zip_derived_cl7748]) ).
thf(zip_derived_cl26,plain,
! [X2: ( a > $o ) > $o] :
( ( cE @ ( '#sk27' @ X2 ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ cE ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl7745_008,plain,
! [X3: a] :
~ ( '#l_lift17947' @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7747,plain,
! [X2: ( a > $o ) > $o] :
( ( cE @ ( '#sk27' @ X2 ) )
| ~ ( X2 @ '#l_lift17947' )
| ( X2 @ cE ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl26,zip_derived_cl7745]) ).
thf(zip_derived_cl117,plain,
( ( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk23' @ cE @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( '#sk23' @ cE
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
& ( '#sk23' @ cE
@ ^ [Y0: a] : $false ) )
| ~ ( '#form49' @ cE ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl120,plain,
( ( '#sk23' @ cE
@ ^ [Y0: a] : $false )
| ~ ( '#form49' @ cE ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl7745_009,plain,
! [X3: a] :
~ ( '#l_lift17947' @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7756,plain,
( ( '#sk23' @ cE @ '#l_lift17947' )
| ~ ( '#form49' @ cE ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl120,zip_derived_cl7745]) ).
thf(zip_derived_cl18_010,plain,
! [X2: ( a > $o ) > $o] :
( ( X2 @ ( '#sk11' @ X2 ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ cE ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl7745_011,plain,
! [X3: a] :
~ ( '#l_lift17947' @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7746,plain,
! [X2: ( a > $o ) > $o] :
( ( X2 @ ( '#sk11' @ X2 ) )
| ~ ( X2 @ '#l_lift17947' )
| ( X2 @ cE ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl18,zip_derived_cl7745]) ).
thf(zip_derived_cl119,plain,
( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk23' @ cE @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( cE @ Y1 )
=> ( '#sk23' @ cE
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( '#form49' @ cE ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl121,plain,
! [X2: a > $o] :
( ( ( '#sk23' @ cE @ X2 )
=> ( !!
@ ^ [Y0: a] :
( ( cE @ Y0 )
=> ( '#sk23' @ cE
@ ^ [Y1: a] :
( ( Y0 = Y1 )
| ( X2 @ Y1 ) ) ) ) ) )
| ~ ( '#form49' @ cE ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl119]) ).
thf(zip_derived_cl128,plain,
! [X2: a > $o] :
( ~ ( '#sk23' @ cE @ X2 )
| ( !!
@ ^ [Y0: a] :
( ( cE @ Y0 )
=> ( '#sk23' @ cE
@ ^ [Y1: a] :
( ( Y0 = Y1 )
| ( X2 @ Y1 ) ) ) ) )
| ~ ( '#form49' @ cE ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl129,plain,
! [X2: a > $o,X4: a] :
( ( ( cE @ X4 )
=> ( '#sk23' @ cE
@ ^ [Y0: a] :
( ( X4 = Y0 )
| ( X2 @ Y0 ) ) ) )
| ~ ( '#form49' @ cE )
| ~ ( '#sk23' @ cE @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl128]) ).
thf(zip_derived_cl130,plain,
! [X2: a > $o,X4: a] :
( ~ ( cE @ X4 )
| ( '#sk23' @ cE
@ ^ [Y0: a] :
( ( X4 = Y0 )
| ( X2 @ Y0 ) ) )
| ~ ( '#sk23' @ cE @ X2 )
| ~ ( '#form49' @ cE ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl459_012,plain,
'#form49' @ cE,
inference(clc,[status(thm)],[zip_derived_cl419,zip_derived_cl40]) ).
thf(zip_derived_cl710,plain,
! [X2: a > $o,X4: a] :
( ~ ( cE @ X4 )
| ( '#sk23' @ cE
@ ^ [Y0: a] :
( ( X4 = Y0 )
| ( X2 @ Y0 ) ) )
| ~ ( '#sk23' @ cE @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl459]) ).
thf(zip_derived_cl63_013,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ~ ( X2 @ X6 )
| ( '#sk23' @ X2
@ ^ [Y0: a] :
( ( X6 = Y0 )
| ( X4 @ Y0 ) ) )
| ~ ( '#sk23' @ X2 @ X4 )
| ~ ( '#form49' @ X2 )
| ~ ( '#form59' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl7751,plain,
! [X4: a > $o,X6: a,X7: a] :
( ( '#l_lift17949' @ X4 @ X6 @ X7 )
= ( ( X6 = X7 )
| ( X4 @ X7 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7785,plain,
! [X2: a > $o,X4: a] :
( ~ ( cE @ X4 )
| ( '#sk23' @ cE @ ( '#l_lift17949' @ X2 @ X4 ) )
| ~ ( '#sk23' @ cE @ X2 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl710,zip_derived_cl7751]) ).
thf(zip_derived_cl7786,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl460,zip_derived_cl459,zip_derived_cl7752,zip_derived_cl7749,zip_derived_cl7747,zip_derived_cl7756,zip_derived_cl7746,zip_derived_cl7785]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU876^5 : 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.wEq9WYPmIA true
% 0.14/0.35 % Computer : n012.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 : Wed Aug 23 17:04:27 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
% 0.21/0.63 % Total configuration time : 828
% 0.21/0.63 % Estimated wc time : 1656
% 0.21/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.27/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 50.28/7.11 % Solved by lams/20_acsne_simpl.sh.
% 50.28/7.11 % done 666 iterations in 6.320s
% 50.28/7.11 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 50.28/7.11 % SZS output start Refutation
% See solution above
% 50.28/7.11
% 50.28/7.11
% 50.28/7.11 % Terminating...
% 51.36/7.24 % Runner terminated.
% 51.36/7.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------