TSTP Solution File: SEU861^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU861^5 : 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.KS3dKHfzFX true
% Computer : n022.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 19:18:39 EDT 2023
% Result : Theorem 25.77s 3.92s
% Output : Refutation 25.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 13
% Syntax : Number of formulae : 136 ( 4 unt; 12 typ; 0 def)
% Number of atoms : 833 ( 67 equ; 30 cnn)
% Maximal formula atoms : 23 ( 6 avg)
% Number of connectives : 1560 ( 154 ~; 190 |; 55 &; 876 @)
% ( 0 <=>; 131 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 192 ( 192 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 11 usr; 4 con; 0-3 aty)
% ( 120 !!; 34 ??; 0 @@+; 0 @@-)
% Number of variables : 302 ( 154 ^; 144 !; 4 ?; 302 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk11_type',type,
'#sk11': ( ( a > $o ) > $o ) > a > $o ).
thf('#sk363_type',type,
'#sk363': ( ( a > $o ) > $o ) > a > ( a > $o ) > a ).
thf(cC_type,type,
cC: a > $o ).
thf('#sk1_type',type,
'#sk1': ( a > $o ) > $o ).
thf('#sk215_type',type,
'#sk215': ( ( a > $o ) > $o ) > a ).
thf('#sk60_type',type,
'#sk60': ( a > $o ) > a > ( a > $o ) > a ).
thf('#sk31_type',type,
'#sk31': ( ( a > $o ) > $o ) > a > $o ).
thf('#sk25_type',type,
'#sk25': ( a > $o ) > a ).
thf('#sk55_type',type,
'#sk55': ( ( a > $o ) > $o ) > a > $o ).
thf(cB_type,type,
cB: a > $o ).
thf('#sk20_type',type,
'#sk20': ( ( a > $o ) > $o ) > a ).
thf(cTHM531E_pme,conjecture,
( ( ! [Xx: a] :
( ( cB @ Xx )
=> ( cC @ Xx ) )
& ! [P: ( a > $o ) > $o] :
( ( ! [Y: a > $o,Xx: a,Z: a > $o] :
( ( ! [Xx_27: a] :
( ( Z @ Xx_27 )
=> ( ( Xx_27 = Xx )
| ( Y @ Xx_27 ) ) )
& ( P @ Y ) )
=> ( P @ Z ) )
& ! [E: a > $o] :
( ~ ? [Xt: a] : ( E @ Xt )
=> ( P @ E ) ) )
=> ( P @ cC ) ) )
=> ! [P: ( a > $o ) > $o] :
( ( ! [Y: a > $o,Xx: a,Z: a > $o] :
( ( ! [Xx_28: a] :
( ( Z @ Xx_28 )
=> ( ( Xx_28 = Xx )
| ( Y @ Xx_28 ) ) )
& ( P @ Y ) )
=> ( P @ Z ) )
& ! [E: a > $o] :
( ~ ? [Xt: a] : ( E @ Xt )
=> ( P @ E ) ) )
=> ( P @ cB ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [Xx: a] :
( ( cB @ Xx )
=> ( cC @ Xx ) )
& ! [P: ( a > $o ) > $o] :
( ( ! [Y: a > $o,Xx: a,Z: a > $o] :
( ( ! [Xx_27: a] :
( ( Z @ Xx_27 )
=> ( ( Xx_27 = Xx )
| ( Y @ Xx_27 ) ) )
& ( P @ Y ) )
=> ( P @ Z ) )
& ! [E: a > $o] :
( ~ ? [Xt: a] : ( E @ Xt )
=> ( P @ E ) ) )
=> ( P @ cC ) ) )
=> ! [P: ( a > $o ) > $o] :
( ( ! [Y: a > $o,Xx: a,Z: a > $o] :
( ( ! [Xx_28: a] :
( ( Z @ Xx_28 )
=> ( ( Xx_28 = Xx )
| ( Y @ Xx_28 ) ) )
& ( P @ Y ) )
=> ( P @ Z ) )
& ! [E: a > $o] :
( ~ ? [Xt: a] : ( E @ Xt )
=> ( P @ E ) ) )
=> ( P @ cB ) ) ),
inference('cnf.neg',[status(esa)],[cTHM531E_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( ( cB @ Y0 )
=> ( cC @ Y0 ) ) )
& ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( ( Y4 = Y2 )
| ( Y1 @ Y4 ) ) ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ cC ) ) ) )
=> ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( ( Y4 = Y2 )
| ( Y1 @ Y4 ) ) ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ cB ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: a] :
( ( cB @ Y0 )
=> ( cC @ Y0 ) ) )
& ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( ( Y4 = Y2 )
| ( Y1 @ Y4 ) ) ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ cC ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( ( Y4 = Y2 )
| ( Y1 @ Y4 ) ) ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ cC ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl7,plain,
! [X2: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( ( Y3 = Y1 )
| ( Y0 @ Y3 ) ) ) )
& ( X2 @ Y0 ) )
=> ( X2 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( X2 @ Y0 ) ) ) )
=> ( X2 @ cC ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( ( Y3 = Y1 )
| ( Y0 @ Y3 ) ) ) )
& ( '#sk1' @ Y0 ) )
=> ( '#sk1' @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) ) )
=> ( '#sk1' @ cC ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl88,plain,
( ~ ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( ( Y3 = Y1 )
| ( Y0 @ Y3 ) ) ) )
& ( '#sk1' @ Y0 ) )
=> ( '#sk1' @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) ) )
| ( '#sk1' @ cC ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl89,plain,
( ~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( ( Y3 = Y1 )
| ( Y0 @ Y3 ) ) ) )
& ( '#sk1' @ Y0 ) )
=> ( '#sk1' @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) )
| ( '#sk1' @ cC ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl90,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( ( Y2 = Y0 )
| ( '#sk11' @ '#sk1' @ Y2 ) ) ) )
& ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) )
=> ( '#sk1' @ Y1 ) ) ) )
| ( '#sk1' @ cC )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl91,plain,
( ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ( Y1
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ Y1 ) ) ) )
& ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) )
=> ( '#sk1' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) )
| ( '#sk1' @ cC ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl92,plain,
( ~ ( ( ( !!
@ ^ [Y0: a] :
( ( '#sk31' @ '#sk1' @ Y0 )
=> ( ( Y0
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ Y0 ) ) ) )
& ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) )
=> ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) )
| ( '#sk1' @ cC )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl94,plain,
( ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) )
| ( '#sk1' @ cC ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl97,plain,
( ~ ( ( (~)
@ ( ??
@ ^ [Y0: a] : ( '#sk55' @ '#sk1' @ Y0 ) ) )
=> ( '#sk1' @ ( '#sk55' @ '#sk1' ) ) )
| ( '#sk1' @ cC )
| ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl100,plain,
( ~ ( ??
@ ^ [Y0: a] : ( '#sk55' @ '#sk1' @ Y0 ) )
| ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
| ( '#sk1' @ cC ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl97]) ).
thf(zip_derived_cl105,plain,
! [X2: a] :
( ~ ( '#sk55' @ '#sk1' @ X2 )
| ( '#sk1' @ cC )
| ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( ( Y4 = Y2 )
| ( Y1 @ Y4 ) ) ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ cB ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( ( Y3 = Y1 )
| ( Y0 @ Y3 ) ) ) )
& ( '#sk1' @ Y0 ) )
=> ( '#sk1' @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) ) )
=> ( '#sk1' @ cB ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( ( Y3 = Y1 )
| ( Y0 @ Y3 ) ) ) )
& ( '#sk1' @ Y0 ) )
=> ( '#sk1' @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl17,plain,
! [X2: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y0: a] : ( X2 @ Y0 ) ) )
=> ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl22,plain,
! [X2: a > $o] :
( ( ??
@ ^ [Y0: a] : ( X2 @ Y0 ) )
| ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl26,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk25' @ X2 ) )
| ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl116,plain,
( ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
| ( '#sk1' @ cC )
| ( '#sk1' @ ( '#sk55' @ '#sk1' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl105,zip_derived_cl26]) ).
thf(zip_derived_cl101,plain,
( ~ ( '#sk1' @ ( '#sk55' @ '#sk1' ) )
| ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
| ( '#sk1' @ cC ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl97]) ).
thf(zip_derived_cl122,plain,
( ( '#sk1' @ cC )
| ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl116,zip_derived_cl101]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( ( Y3 = Y1 )
| ( Y0 @ Y3 ) ) ) )
& ( '#sk1' @ Y0 ) )
=> ( '#sk1' @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( ( Y2 = Y0 )
| ( X2 @ Y2 ) ) ) )
& ( '#sk1' @ X2 ) )
=> ( '#sk1' @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl21,plain,
! [X2: a > $o,X4: a] :
( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ( Y1 = X4 )
| ( X2 @ Y1 ) ) ) )
& ( '#sk1' @ X2 ) )
=> ( '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl24,plain,
! [X2: a > $o,X4: a,X6: a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( ( X6 @ Y0 )
=> ( ( Y0 = X4 )
| ( X2 @ Y0 ) ) ) )
& ( '#sk1' @ X2 ) )
=> ( '#sk1' @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl62,plain,
! [X0: a > $o,X1: a] :
( ( ( !!
@ ^ [Y0: a] :
( ( cB @ Y0 )
=> ( ( Y0 = X1 )
| ( X0 @ Y0 ) ) ) )
& ( '#sk1' @ X0 ) )
=> ( '#sk1' @ cB ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl10,plain,
~ ( '#sk1' @ cB ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl346,plain,
! [X0: a > $o,X1: a] :
( ( ( !!
@ ^ [Y0: a] :
( ( cB @ Y0 )
=> ( ( Y0 = X1 )
| ( X0 @ Y0 ) ) ) )
& ( '#sk1' @ X0 ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl10]) ).
thf(zip_derived_cl347,plain,
! [X0: a > $o,X1: a] :
( (~)
@ ( ( !!
@ ^ [Y0: a] :
( ( cB @ Y0 )
=> ( ( Y0 = X1 )
| ( X0 @ Y0 ) ) ) )
& ( '#sk1' @ X0 ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl346]) ).
thf(zip_derived_cl348,plain,
! [X0: a > $o,X1: a] :
~ ( ( !!
@ ^ [Y0: a] :
( ( cB @ Y0 )
=> ( ( Y0 = X1 )
| ( X0 @ Y0 ) ) ) )
& ( '#sk1' @ X0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl347]) ).
thf(zip_derived_cl349,plain,
! [X0: a > $o,X1: a] :
( ~ ( !!
@ ^ [Y0: a] :
( ( cB @ Y0 )
=> ( ( Y0 = X1 )
| ( X0 @ Y0 ) ) ) )
| ~ ( '#sk1' @ X0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl348]) ).
thf(zip_derived_cl350,plain,
! [X0: a > $o,X1: a] :
( ~ ( ( cB @ ( '#sk60' @ X0 @ X1 @ cB ) )
=> ( ( ( '#sk60' @ X0 @ X1 @ cB )
= X1 )
| ( X0 @ ( '#sk60' @ X0 @ X1 @ cB ) ) ) )
| ~ ( '#sk1' @ X0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl349]) ).
thf(zip_derived_cl352,plain,
! [X0: a > $o,X1: a] :
( ~ ( ( ( '#sk60' @ X0 @ X1 @ cB )
= X1 )
| ( X0 @ ( '#sk60' @ X0 @ X1 @ cB ) ) )
| ~ ( '#sk1' @ X0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl350]) ).
thf(zip_derived_cl354,plain,
! [X0: a > $o,X1: a] :
( ~ ( X0 @ ( '#sk60' @ X0 @ X1 @ cB ) )
| ~ ( '#sk1' @ X0 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl352]) ).
thf(zip_derived_cl367,plain,
! [X0: a] :
( ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
| ~ ( cC @ ( '#sk60' @ cC @ X0 @ cB ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl354]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: a] :
( ( cB @ Y0 )
=> ( cC @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: a] :
( ( cB @ X2 )
=> ( cC @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
! [X2: a] :
( ~ ( cB @ X2 )
| ( cC @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl398,plain,
! [X0: a] :
( ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
| ~ ( cB @ ( '#sk60' @ cC @ X0 @ cB ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl11]) ).
thf(zip_derived_cl351,plain,
! [X0: a > $o,X1: a] :
( ( cB @ ( '#sk60' @ X0 @ X1 @ cB ) )
| ~ ( '#sk1' @ X0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl350]) ).
thf(zip_derived_cl400,plain,
( ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
| ~ ( '#sk1' @ cC ) ),
inference('sup+',[status(thm)],[zip_derived_cl398,zip_derived_cl351]) ).
thf(zip_derived_cl122_001,plain,
( ( '#sk1' @ cC )
| ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl116,zip_derived_cl101]) ).
thf(zip_derived_cl406,plain,
~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl122]) ).
thf(zip_derived_cl16_002,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( ( Y2 = Y0 )
| ( X2 @ Y2 ) ) ) )
& ( '#sk1' @ X2 ) )
=> ( '#sk1' @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X0: ( a > $o ) > $o] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( ( Y2 = Y0 )
| ( '#sk11' @ X0 @ Y2 ) ) ) )
& ( '#sk1' @ ( '#sk11' @ X0 ) ) )
=> ( '#sk1' @ Y1 ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl291,plain,
! [X0: ( a > $o ) > $o,X2: a] :
( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ( Y1 = X2 )
| ( '#sk11' @ X0 @ Y1 ) ) ) )
& ( '#sk1' @ ( '#sk11' @ X0 ) ) )
=> ( '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl292,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( ( Y0 = X2 )
| ( '#sk11' @ X0 @ Y0 ) ) ) )
& ( '#sk1' @ ( '#sk11' @ X0 ) ) )
=> ( '#sk1' @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl291]) ).
thf(zip_derived_cl298,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( ( Y0 = X2 )
| ( '#sk11' @ X0 @ Y0 ) ) ) )
& ( '#sk1' @ ( '#sk11' @ X0 ) ) )
| ( '#sk1' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl292]) ).
thf(zip_derived_cl299,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( ( Y0 = X2 )
| ( '#sk11' @ X0 @ Y0 ) ) ) )
| ~ ( '#sk1' @ ( '#sk11' @ X0 ) )
| ( '#sk1' @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl298]) ).
thf(zip_derived_cl300,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ~ ( ( X4 @ ( '#sk363' @ X0 @ X2 @ X4 ) )
=> ( ( ( '#sk363' @ X0 @ X2 @ X4 )
= X2 )
| ( '#sk11' @ X0 @ ( '#sk363' @ X0 @ X2 @ X4 ) ) ) )
| ( '#sk1' @ X4 )
| ~ ( '#sk1' @ ( '#sk11' @ X0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl299]) ).
thf(zip_derived_cl302,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ~ ( ( ( '#sk363' @ X0 @ X2 @ X4 )
= X2 )
| ( '#sk11' @ X0 @ ( '#sk363' @ X0 @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ ( '#sk11' @ X0 ) )
| ( '#sk1' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl300]) ).
thf(zip_derived_cl304,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ~ ( '#sk11' @ X0 @ ( '#sk363' @ X0 @ X2 @ X4 ) )
| ( '#sk1' @ X4 )
| ~ ( '#sk1' @ ( '#sk11' @ X0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl302]) ).
thf(zip_derived_cl93,plain,
( ( ( !!
@ ^ [Y0: a] :
( ( '#sk31' @ '#sk1' @ Y0 )
=> ( ( Y0
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ Y0 ) ) ) )
& ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) )
| ( '#sk1' @ cC ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl96,plain,
( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
| ( '#sk1' @ cC )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl93]) ).
thf(zip_derived_cl99,plain,
( ~ ( ( (~)
@ ( ??
@ ^ [Y0: a] : ( '#sk55' @ '#sk1' @ Y0 ) ) )
=> ( '#sk1' @ ( '#sk55' @ '#sk1' ) ) )
| ( '#sk1' @ cC )
| ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl103,plain,
( ~ ( ??
@ ^ [Y0: a] : ( '#sk55' @ '#sk1' @ Y0 ) )
| ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
| ( '#sk1' @ cC ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl107,plain,
! [X2: a] :
( ~ ( '#sk55' @ '#sk1' @ X2 )
| ( '#sk1' @ cC )
| ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl26_003,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk25' @ X2 ) )
| ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl125,plain,
( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
| ( '#sk1' @ cC )
| ( '#sk1' @ ( '#sk55' @ '#sk1' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl26]) ).
thf(zip_derived_cl104,plain,
( ~ ( '#sk1' @ ( '#sk55' @ '#sk1' ) )
| ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
| ( '#sk1' @ cC ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl133,plain,
( ( '#sk1' @ cC )
| ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl104]) ).
thf(zip_derived_cl354_004,plain,
! [X0: a > $o,X1: a] :
( ~ ( X0 @ ( '#sk60' @ X0 @ X1 @ cB ) )
| ~ ( '#sk1' @ X0 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl352]) ).
thf(zip_derived_cl366,plain,
! [X0: a] :
( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
| ~ ( cC @ ( '#sk60' @ cC @ X0 @ cB ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl354]) ).
thf(zip_derived_cl11_005,plain,
! [X2: a] :
( ~ ( cB @ X2 )
| ( cC @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl428,plain,
! [X0: a] :
( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
| ~ ( cB @ ( '#sk60' @ cC @ X0 @ cB ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl11]) ).
thf(zip_derived_cl351_006,plain,
! [X0: a > $o,X1: a] :
( ( cB @ ( '#sk60' @ X0 @ X1 @ cB ) )
| ~ ( '#sk1' @ X0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl350]) ).
thf(zip_derived_cl432,plain,
( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
| ~ ( '#sk1' @ cC ) ),
inference('sup+',[status(thm)],[zip_derived_cl428,zip_derived_cl351]) ).
thf(zip_derived_cl133_007,plain,
( ( '#sk1' @ cC )
| ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl104]) ).
thf(zip_derived_cl444,plain,
'#sk1' @ ( '#sk11' @ '#sk1' ),
inference(clc,[status(thm)],[zip_derived_cl432,zip_derived_cl133]) ).
thf(zip_derived_cl301,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ( X4 @ ( '#sk363' @ X0 @ X2 @ X4 ) )
| ~ ( '#sk1' @ ( '#sk11' @ X0 ) )
| ( '#sk1' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl300]) ).
thf(zip_derived_cl445,plain,
! [X0: a > $o,X1: a] :
( ( '#sk1' @ X0 )
| ( X0 @ ( '#sk363' @ '#sk1' @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl444,zip_derived_cl301]) ).
thf(zip_derived_cl17_008,plain,
! [X2: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y0: a] : ( X2 @ Y0 ) ) )
=> ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl38,plain,
! [X0: ( a > $o ) > $o] :
( ( (~)
@ ( ??
@ ^ [Y0: a] : ( '#sk55' @ X0 @ Y0 ) ) )
=> ( '#sk1' @ ( '#sk55' @ X0 ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl143,plain,
! [X0: ( a > $o ) > $o] :
( ( ??
@ ^ [Y0: a] : ( '#sk55' @ X0 @ Y0 ) )
| ( '#sk1' @ ( '#sk55' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl144,plain,
! [X0: ( a > $o ) > $o] :
( ( '#sk55' @ X0 @ ( '#sk215' @ X0 ) )
| ( '#sk1' @ ( '#sk55' @ X0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl143]) ).
thf(zip_derived_cl95,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk31' @ '#sk1' @ Y0 )
=> ( ( Y0
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ Y0 ) ) ) )
| ( '#sk1' @ cC )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl93]) ).
thf(zip_derived_cl98,plain,
! [X2: a] :
( ( ( '#sk31' @ '#sk1' @ X2 )
=> ( ( X2
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) )
| ( '#sk1' @ cC ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl102,plain,
! [X2: a] :
( ~ ( '#sk31' @ '#sk1' @ X2 )
| ( X2
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ X2 )
| ( '#sk1' @ cC )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl106,plain,
! [X2: a] :
( ( X2
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ X2 )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) )
| ( '#sk1' @ cC )
| ~ ( '#sk31' @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl108,plain,
! [X2: a] :
( ( X2
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ X2 )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( (~)
@ ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( '#sk1' @ Y0 ) ) )
| ( '#sk1' @ cC )
| ~ ( '#sk31' @ '#sk1' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl109,plain,
! [X2: a] :
( ~ ( ( (~)
@ ( ??
@ ^ [Y0: a] : ( '#sk55' @ '#sk1' @ Y0 ) ) )
=> ( '#sk1' @ ( '#sk55' @ '#sk1' ) ) )
| ~ ( '#sk31' @ '#sk1' @ X2 )
| ( '#sk1' @ cC )
| ( '#sk11' @ '#sk1' @ X2 )
| ( X2
= ( '#sk20' @ '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl110,plain,
! [X2: a] :
( ~ ( ??
@ ^ [Y0: a] : ( '#sk55' @ '#sk1' @ Y0 ) )
| ( X2
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ X2 )
| ( '#sk1' @ cC )
| ~ ( '#sk31' @ '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl112,plain,
! [X2: a,X4: a] :
( ~ ( '#sk55' @ '#sk1' @ X4 )
| ~ ( '#sk31' @ '#sk1' @ X2 )
| ( '#sk1' @ cC )
| ( '#sk11' @ '#sk1' @ X2 )
| ( X2
= ( '#sk20' @ '#sk1' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl110]) ).
thf(zip_derived_cl351_009,plain,
! [X0: a > $o,X1: a] :
( ( cB @ ( '#sk60' @ X0 @ X1 @ cB ) )
| ~ ( '#sk1' @ X0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl350]) ).
thf(zip_derived_cl16_010,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( ( Y2 = Y0 )
| ( X2 @ Y2 ) ) ) )
& ( '#sk1' @ X2 ) )
=> ( '#sk1' @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl152,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( ( Y2 = Y0 )
| ( cC @ Y2 ) ) ) )
& ( '#sk1' @ cC ) )
=> ( '#sk1' @ Y1 ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl317,plain,
! [X2: a] :
( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ( Y1 = X2 )
| ( cC @ Y1 ) ) ) )
& ( '#sk1' @ cC ) )
=> ( '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl318,plain,
! [X2: a,X4: a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( ( Y0 = X2 )
| ( cC @ Y0 ) ) ) )
& ( '#sk1' @ cC ) )
=> ( '#sk1' @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl317]) ).
thf(zip_derived_cl324,plain,
! [X2: a,X4: a > $o] :
( ~ ( ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( ( Y0 = X2 )
| ( cC @ Y0 ) ) ) )
& ( '#sk1' @ cC ) )
| ( '#sk1' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl318]) ).
thf(zip_derived_cl325,plain,
! [X2: a,X4: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X4 @ Y0 )
=> ( ( Y0 = X2 )
| ( cC @ Y0 ) ) ) )
| ~ ( '#sk1' @ cC )
| ( '#sk1' @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl324]) ).
thf(zip_derived_cl326,plain,
! [X2: a,X4: a > $o] :
( ~ ( ( X4 @ ( '#sk60' @ cC @ X2 @ X4 ) )
=> ( ( ( '#sk60' @ cC @ X2 @ X4 )
= X2 )
| ( cC @ ( '#sk60' @ cC @ X2 @ X4 ) ) ) )
| ( '#sk1' @ X4 )
| ~ ( '#sk1' @ cC ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl325]) ).
thf(zip_derived_cl328,plain,
! [X2: a,X4: a > $o] :
( ~ ( ( ( '#sk60' @ cC @ X2 @ X4 )
= X2 )
| ( cC @ ( '#sk60' @ cC @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ cC )
| ( '#sk1' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl326]) ).
thf(zip_derived_cl330,plain,
! [X2: a,X4: a > $o] :
( ~ ( cC @ ( '#sk60' @ cC @ X2 @ X4 ) )
| ( '#sk1' @ X4 )
| ~ ( '#sk1' @ cC ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl328]) ).
thf(zip_derived_cl11_011,plain,
! [X2: a] :
( ~ ( cB @ X2 )
| ( cC @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl549,plain,
! [X0: a > $o,X1: a] :
( ~ ( '#sk1' @ cC )
| ( '#sk1' @ X0 )
| ~ ( cB @ ( '#sk60' @ cC @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl11]) ).
thf(zip_derived_cl564,plain,
( ~ ( '#sk1' @ cC )
| ( '#sk1' @ cB )
| ~ ( '#sk1' @ cC ) ),
inference('sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl549]) ).
thf(zip_derived_cl10_012,plain,
~ ( '#sk1' @ cB ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl568,plain,
( ~ ( '#sk1' @ cC )
| ~ ( '#sk1' @ cC ) ),
inference(demod,[status(thm)],[zip_derived_cl564,zip_derived_cl10]) ).
thf(zip_derived_cl569,plain,
~ ( '#sk1' @ cC ),
inference(simplify,[status(thm)],[zip_derived_cl568]) ).
thf(zip_derived_cl1525,plain,
! [X2: a,X4: a] :
( ~ ( '#sk55' @ '#sk1' @ X4 )
| ~ ( '#sk31' @ '#sk1' @ X2 )
| ( '#sk11' @ '#sk1' @ X2 )
| ( X2
= ( '#sk20' @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl569]) ).
thf(zip_derived_cl1527,plain,
! [X0: a] :
( ( '#sk1' @ ( '#sk55' @ '#sk1' ) )
| ( X0
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ X0 )
| ~ ( '#sk31' @ '#sk1' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl1525]) ).
thf(zip_derived_cl111,plain,
! [X2: a] :
( ~ ( '#sk1' @ ( '#sk55' @ '#sk1' ) )
| ( X2
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ X2 )
| ( '#sk1' @ cC )
| ~ ( '#sk31' @ '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl569_013,plain,
~ ( '#sk1' @ cC ),
inference(simplify,[status(thm)],[zip_derived_cl568]) ).
thf(zip_derived_cl578,plain,
! [X2: a] :
( ~ ( '#sk1' @ ( '#sk55' @ '#sk1' ) )
| ( X2
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ X2 )
| ~ ( '#sk31' @ '#sk1' @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl569]) ).
thf(zip_derived_cl1546,plain,
! [X0: a] :
( ~ ( '#sk31' @ '#sk1' @ X0 )
| ( '#sk11' @ '#sk1' @ X0 )
| ( X0
= ( '#sk20' @ '#sk1' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1527,zip_derived_cl578]) ).
thf(zip_derived_cl1553,plain,
! [X0: a] :
( ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
| ( ( '#sk363' @ '#sk1' @ X0 @ ( '#sk31' @ '#sk1' ) )
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ ( '#sk363' @ '#sk1' @ X0 @ ( '#sk31' @ '#sk1' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl1546]) ).
thf(zip_derived_cl406_014,plain,
~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl122]) ).
thf(zip_derived_cl1567,plain,
! [X0: a] :
( ( ( '#sk363' @ '#sk1' @ X0 @ ( '#sk31' @ '#sk1' ) )
= ( '#sk20' @ '#sk1' ) )
| ( '#sk11' @ '#sk1' @ ( '#sk363' @ '#sk1' @ X0 @ ( '#sk31' @ '#sk1' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1553,zip_derived_cl406]) ).
thf(zip_derived_cl1648,plain,
! [X0: a] :
( ~ ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
| ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
| ( ( '#sk363' @ '#sk1' @ X0 @ ( '#sk31' @ '#sk1' ) )
= ( '#sk20' @ '#sk1' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl304,zip_derived_cl1567]) ).
thf(zip_derived_cl444_015,plain,
'#sk1' @ ( '#sk11' @ '#sk1' ),
inference(clc,[status(thm)],[zip_derived_cl432,zip_derived_cl133]) ).
thf(zip_derived_cl406_016,plain,
~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl122]) ).
thf(zip_derived_cl1649,plain,
! [X0: a] :
( ( '#sk363' @ '#sk1' @ X0 @ ( '#sk31' @ '#sk1' ) )
= ( '#sk20' @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl1648,zip_derived_cl444,zip_derived_cl406]) ).
thf(zip_derived_cl303,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ( ( '#sk363' @ X0 @ X2 @ X4 )
!= X2 )
| ( '#sk1' @ X4 )
| ~ ( '#sk1' @ ( '#sk11' @ X0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl302]) ).
thf(zip_derived_cl305,plain,
! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
( ( ( '#sk363' @ X0 @ X2 @ X4 )
!= X2 )
| ( '#sk1' @ X4 )
| ~ ( '#sk1' @ ( '#sk11' @ X0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl303]) ).
thf(zip_derived_cl1709,plain,
! [X0: a] :
( ( ( '#sk20' @ '#sk1' )
!= X0 )
| ~ ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
| ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1649,zip_derived_cl305]) ).
thf(zip_derived_cl444_017,plain,
'#sk1' @ ( '#sk11' @ '#sk1' ),
inference(clc,[status(thm)],[zip_derived_cl432,zip_derived_cl133]) ).
thf(zip_derived_cl1711,plain,
! [X0: a] :
( ( ( '#sk20' @ '#sk1' )
!= X0 )
| ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1709,zip_derived_cl444]) ).
thf(zip_derived_cl1712,plain,
'#sk1' @ ( '#sk31' @ '#sk1' ),
inference(simplify,[status(thm)],[zip_derived_cl1711]) ).
thf(zip_derived_cl1717,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl406,zip_derived_cl1712]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU861^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KS3dKHfzFX true
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 18:52:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 25.77/3.92 % Solved by lams/35_full_unif4.sh.
% 25.77/3.92 % done 201 iterations in 3.130s
% 25.77/3.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 25.77/3.92 % SZS output start Refutation
% See solution above
% 25.77/3.92
% 25.77/3.92
% 25.77/3.92 % Terminating...
% 26.13/4.03 % Runner terminated.
% 26.13/4.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------