TSTP Solution File: SWV444^1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV444^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.y250URLr4K true
% Computer : n017.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 : Fri Sep 1 00:10:00 EDT 2023
% Result : Theorem 13.00s 2.27s
% Output : Refutation 13.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 69
% Syntax : Number of formulae : 159 ( 67 unt; 31 typ; 0 def)
% Number of atoms : 707 ( 48 equ; 42 cnn)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 1595 ( 147 ~; 127 |; 0 &;1011 @)
% ( 0 <=>; 169 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 153 ( 153 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 30 usr; 11 con; 0-3 aty)
% ( 141 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 348 ( 217 ^; 131 !; 0 ?; 348 :)
% Comments :
%------------------------------------------------------------------------------
thf(individuals_type,type,
individuals: $tType ).
thf(cs4_atom_type,type,
cs4_atom: ( $i > $o ) > $i > $o ).
thf('#sk6_type',type,
'#sk6': $i ).
thf(cs4_impl_type,type,
cs4_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(reli_type,type,
reli: $i > $i > $o ).
thf('#sk9_type',type,
'#sk9': $i > $i ).
thf(relr_type,type,
relr: $i > $i > $o ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk8_type',type,
'#sk8': $i ).
thf(bl_valid_type,type,
bl_valid: ( $i > $o ) > $o ).
thf(cs4_all_type,type,
cs4_all: ( individuals > $i > $o ) > $i > $o ).
thf(mall_type,type,
mall: ( individuals > $i > $o ) > $i > $o ).
thf('#sk7_type',type,
'#sk7': $i ).
thf('#sk5_type',type,
'#sk5': $i ).
thf(bl_atom_type,type,
bl_atom: ( $i > $o ) > $i > $o ).
thf(cs4_box_type,type,
cs4_box: ( $i > $o ) > $i > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(bl_impl_type,type,
bl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk10_type',type,
'#sk10': ( $i > $o ) > $i > $i ).
thf(bl_says_type,type,
bl_says: individuals > ( $i > $o ) > $i > $o ).
thf(bl_princ_type,type,
bl_princ: ( $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf('#sk1_type',type,
'#sk1': individuals ).
thf(princ_inj_type,type,
princ_inj: individuals > $i > $o ).
thf(cs4_valid_type,type,
cs4_valid: ( $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(loca_type,type,
loca: individuals ).
thf(bl_valid_def,axiom,
bl_valid = mvalid ).
thf(mvalid,axiom,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('1',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf('2',plain,
bl_valid = mvalid,
inference(simplify_rw_rule,[status(thm)],[bl_valid_def,'1']) ).
thf('3',plain,
bl_valid = mvalid,
define([status(thm)]) ).
thf(bl_says,axiom,
( bl_says
= ( ^ [K: individuals,A: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ K ) ) @ A ) ) ) ) ).
thf(bl_princ,axiom,
( bl_princ
= ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ) ).
thf(cs4_atom,axiom,
( cs4_atom
= ( ^ [P: $i > $o] : ( mbox @ reli @ P ) ) ) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('4',plain,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('5',plain,
( mbox
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_1 @ V_3 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf('6',plain,
( cs4_atom
= ( ^ [P: $i > $o] : ( mbox @ reli @ P ) ) ),
inference(simplify_rw_rule,[status(thm)],[cs4_atom,'5']) ).
thf('7',plain,
( cs4_atom
= ( ^ [V_1: $i > $o] : ( mbox @ reli @ V_1 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( bl_princ
= ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ),
inference(simplify_rw_rule,[status(thm)],[bl_princ,'7','5']) ).
thf('9',plain,
( bl_princ
= ( ^ [V_1: $i > $o] : ( cs4_atom @ V_1 ) ) ),
define([status(thm)]) ).
thf(cs4_box,axiom,
( cs4_box
= ( ^ [A: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ A ) ) ) ) ).
thf('10',plain,
( cs4_box
= ( ^ [A: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cs4_box,'5']) ).
thf('11',plain,
( cs4_box
= ( ^ [V_1: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(cs4_impl,axiom,
( cs4_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ reli @ ( mimpl @ A @ B ) ) ) ) ).
thf(mimpl,axiom,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('12',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('13',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ) ).
thf('14',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('15',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('16',plain,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimpl,'13','15']) ).
thf('17',plain,
( mimpl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf('18',plain,
( cs4_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ reli @ ( mimpl @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cs4_impl,'5','17','13','15']) ).
thf('19',plain,
( cs4_impl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mbox @ reli @ ( mimpl @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('20',plain,
( bl_says
= ( ^ [K: individuals,A: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ K ) ) @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[bl_says,'9','11','19','7','5','17','13','15']) ).
thf('21',plain,
( bl_says
= ( ^ [V_1: individuals,V_2: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ V_1 ) ) @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(bl_impl,axiom,
( bl_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( cs4_impl @ A @ B ) ) ) ).
thf('22',plain,
( bl_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( cs4_impl @ A @ B ) ) ),
inference(simplify_rw_rule,[status(thm)],[bl_impl,'19','5','17','13','15']) ).
thf('23',plain,
( bl_impl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( cs4_impl @ V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(bl_atom,axiom,
( bl_atom
= ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ) ).
thf('24',plain,
( bl_atom
= ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ),
inference(simplify_rw_rule,[status(thm)],[bl_atom,'7','5']) ).
thf('25',plain,
( bl_atom
= ( ^ [V_1: $i > $o] : ( cs4_atom @ V_1 ) ) ),
define([status(thm)]) ).
thf(bl_strength,conjecture,
! [K: individuals,A: $i > $o] : ( bl_valid @ ( bl_impl @ ( bl_says @ loca @ ( bl_atom @ A ) ) @ ( bl_says @ K @ ( bl_atom @ A ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: individuals,X6: $i > $o,X8: $i,X10: $i] :
( ( reli @ X8 @ X10 )
=> ( ! [X22: $i] :
( ( reli @ X10 @ X22 )
=> ! [X24: $i] :
( ( relr @ X22 @ X24 )
=> ! [X26: $i] :
( ( reli @ X24 @ X26 )
=> ( ! [X30: $i] :
( ( reli @ X26 @ X30 )
=> ( X6 @ X30 ) )
| ~ ! [X28: $i] :
( ( reli @ X26 @ X28 )
=> ( princ_inj @ X4 @ X28 ) ) ) ) ) )
| ~ ! [X12: $i] :
( ( reli @ X10 @ X12 )
=> ! [X14: $i] :
( ( relr @ X12 @ X14 )
=> ! [X16: $i] :
( ( reli @ X14 @ X16 )
=> ( ! [X20: $i] :
( ( reli @ X16 @ X20 )
=> ( X6 @ X20 ) )
| ~ ! [X18: $i] :
( ( reli @ X16 @ X18 )
=> ( princ_inj @ loca @ X18 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: individuals,X6: $i > $o,X8: $i,X10: $i] :
( ( reli @ X8 @ X10 )
=> ( ! [X22: $i] :
( ( reli @ X10 @ X22 )
=> ! [X24: $i] :
( ( relr @ X22 @ X24 )
=> ! [X26: $i] :
( ( reli @ X24 @ X26 )
=> ( ! [X30: $i] :
( ( reli @ X26 @ X30 )
=> ( X6 @ X30 ) )
| ~ ! [X28: $i] :
( ( reli @ X26 @ X28 )
=> ( princ_inj @ X4 @ X28 ) ) ) ) ) )
| ~ ! [X12: $i] :
( ( reli @ X10 @ X12 )
=> ! [X14: $i] :
( ( relr @ X12 @ X14 )
=> ! [X16: $i] :
( ( reli @ X14 @ X16 )
=> ( ! [X20: $i] :
( ( reli @ X16 @ X20 )
=> ( X6 @ X20 ) )
| ~ ! [X18: $i] :
( ( reli @ X16 @ X18 )
=> ( princ_inj @ loca @ X18 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: individuals] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !!
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( !!
@ ^ [Y5: $i] :
( ( relr @ Y4 @ Y5 )
=> ( !!
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !!
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( Y1 @ Y7 ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( princ_inj @ Y0 @ Y7 ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( !!
@ ^ [Y5: $i] :
( ( relr @ Y4 @ Y5 )
=> ( !!
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !!
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( Y1 @ Y7 ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( princ_inj @ loca @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( !!
@ ^ [Y4: $i] :
( ( relr @ Y3 @ Y4 )
=> ( !!
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !!
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( Y0 @ Y6 ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( princ_inj @ '#sk1' @ Y6 ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( !!
@ ^ [Y4: $i] :
( ( relr @ Y3 @ Y4 )
=> ( !!
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !!
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( Y0 @ Y6 ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( princ_inj @ loca @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( relr @ Y2 @ Y3 )
=> ( !!
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( ( !!
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( '#sk2' @ Y5 ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( princ_inj @ '#sk1' @ Y5 ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( relr @ Y2 @ Y3 )
=> ( !!
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( ( !!
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( '#sk2' @ Y5 ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( princ_inj @ loca @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk3' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !!
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( '#sk2' @ Y4 ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( princ_inj @ '#sk1' @ Y4 ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !!
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( '#sk2' @ Y4 ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( princ_inj @ loca @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
~ ( ( reli @ '#sk3' @ '#sk4' )
=> ( ( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk4' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( '#sk2' @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( princ_inj @ '#sk1' @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk4' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( '#sk2' @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( princ_inj @ loca @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl12,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk4' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( '#sk2' @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( princ_inj @ '#sk1' @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk4' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( '#sk2' @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( princ_inj @ loca @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl13,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk4' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( '#sk2' @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( princ_inj @ '#sk1' @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl15,plain,
~ ( ( reli @ '#sk4' @ '#sk5' )
=> ( !!
@ ^ [Y0: $i] :
( ( relr @ '#sk5' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( '#sk2' @ Y2 ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( princ_inj @ '#sk1' @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl17,plain,
reli @ '#sk4' @ '#sk5',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl18,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( relr @ '#sk5' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( '#sk2' @ Y2 ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( princ_inj @ '#sk1' @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl20,plain,
~ ( ( relr @ '#sk5' @ '#sk6' )
=> ( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk6' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ '#sk1' @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl23,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk6' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ '#sk1' @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl25,plain,
~ ( ( reli @ '#sk6' @ '#sk7' )
=> ( ( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk7' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk7' @ Y0 )
=> ( princ_inj @ '#sk1' @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl27,plain,
reli @ '#sk6' @ '#sk7',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl28,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk7' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk7' @ Y0 )
=> ( princ_inj @ '#sk1' @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl30,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk7' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl33,plain,
~ ( ( reli @ '#sk7' @ '#sk8' )
=> ( '#sk2' @ '#sk8' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl36,plain,
reli @ '#sk7' @ '#sk8',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk4' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( '#sk2' @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( princ_inj @ loca @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl16,plain,
! [X2: $i] :
( ( reli @ '#sk4' @ X2 )
=> ( !!
@ ^ [Y0: $i] :
( ( relr @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( '#sk2' @ Y2 ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( princ_inj @ loca @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl19,plain,
! [X2: $i] :
( ~ ( reli @ '#sk4' @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( relr @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( '#sk2' @ Y2 ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( princ_inj @ loca @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl21,plain,
! [X2: $i,X4: $i] :
( ( ( relr @ X2 @ X4 )
=> ( !!
@ ^ [Y0: $i] :
( ( reli @ X4 @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ loca @ Y1 ) ) ) ) ) ) ) )
| ~ ( reli @ '#sk4' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i] :
( ~ ( relr @ X2 @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( reli @ X4 @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ loca @ Y1 ) ) ) ) ) ) )
| ~ ( reli @ '#sk4' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( reli @ X4 @ X6 )
=> ( ( !!
@ ^ [Y0: $i] :
( ( reli @ X6 @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( reli @ X6 @ Y0 )
=> ( princ_inj @ loca @ Y0 ) ) ) ) ) )
| ~ ( reli @ '#sk4' @ X2 )
| ~ ( relr @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( reli @ X4 @ X6 )
| ( !!
@ ^ [Y0: $i] :
( ( reli @ X6 @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( reli @ X6 @ Y0 )
=> ( princ_inj @ loca @ Y0 ) ) ) )
| ~ ( relr @ X2 @ X4 )
| ~ ( reli @ '#sk4' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( reli @ X6 @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( reli @ X6 @ Y0 )
=> ( princ_inj @ loca @ Y0 ) ) )
| ~ ( reli @ '#sk4' @ X2 )
| ~ ( relr @ X2 @ X4 )
| ~ ( reli @ X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl35,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( reli @ X6 @ X8 )
=> ( '#sk2' @ X8 ) )
| ~ ( reli @ X4 @ X6 )
| ~ ( relr @ X2 @ X4 )
| ~ ( reli @ '#sk4' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( reli @ X6 @ Y0 )
=> ( princ_inj @ loca @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl39,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( reli @ X6 @ X8 )
| ( '#sk2' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( reli @ X6 @ Y0 )
=> ( princ_inj @ loca @ Y0 ) ) )
| ~ ( reli @ '#sk4' @ X2 )
| ~ ( relr @ X2 @ X4 )
| ~ ( reli @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl40,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( reli @ X6 @ ( '#sk9' @ X6 ) )
=> ( princ_inj @ loca @ ( '#sk9' @ X6 ) ) )
| ~ ( reli @ X4 @ X6 )
| ~ ( relr @ X2 @ X4 )
| ~ ( reli @ '#sk4' @ X2 )
| ( '#sk2' @ X8 )
| ~ ( reli @ X6 @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl41,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( reli @ X6 @ ( '#sk9' @ X6 ) )
| ~ ( reli @ X6 @ X8 )
| ( '#sk2' @ X8 )
| ~ ( reli @ '#sk4' @ X2 )
| ~ ( relr @ X2 @ X4 )
| ~ ( reli @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl228,plain,
! [X0: $i,X1: $i] :
( ~ ( reli @ X0 @ '#sk7' )
| ~ ( relr @ X1 @ X0 )
| ~ ( reli @ '#sk4' @ X1 )
| ( '#sk2' @ '#sk8' )
| ( reli @ '#sk7' @ ( '#sk9' @ '#sk7' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl41]) ).
thf(zip_derived_cl37,plain,
~ ( '#sk2' @ '#sk8' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl230,plain,
! [X0: $i,X1: $i] :
( ~ ( reli @ X0 @ '#sk7' )
| ~ ( relr @ X1 @ X0 )
| ~ ( reli @ '#sk4' @ X1 )
| ( reli @ '#sk7' @ ( '#sk9' @ '#sk7' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl37]) ).
thf(zip_derived_cl635,plain,
! [X0: $i] :
( ( reli @ '#sk7' @ ( '#sk9' @ '#sk7' ) )
| ~ ( reli @ '#sk4' @ X0 )
| ~ ( relr @ X0 @ '#sk6' ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl230]) ).
thf(zip_derived_cl737,plain,
( ~ ( relr @ '#sk5' @ '#sk6' )
| ( reli @ '#sk7' @ ( '#sk9' @ '#sk7' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl635]) ).
thf(zip_derived_cl22,plain,
relr @ '#sk5' @ '#sk6',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl738,plain,
reli @ '#sk7' @ ( '#sk9' @ '#sk7' ),
inference(demod,[status(thm)],[zip_derived_cl737,zip_derived_cl22]) ).
thf(zip_derived_cl31,plain,
( !!
@ ^ [Y0: $i] :
( ( reli @ '#sk7' @ Y0 )
=> ( princ_inj @ '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl34,plain,
! [X2: $i] :
( ( reli @ '#sk7' @ X2 )
=> ( princ_inj @ '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl38,plain,
! [X2: $i] :
( ~ ( reli @ '#sk7' @ X2 )
| ( princ_inj @ '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl753,plain,
princ_inj @ '#sk1' @ ( '#sk9' @ '#sk7' ),
inference('sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl38]) ).
thf(cs4_valid_def,axiom,
( cs4_valid
= ( ^ [A: $i > $o] : ( mvalid @ A ) ) ) ).
thf('26',plain,
( cs4_valid
= ( ^ [A: $i > $o] : ( mvalid @ A ) ) ),
inference(simplify_rw_rule,[status(thm)],[cs4_valid_def,'1']) ).
thf('27',plain,
( cs4_valid
= ( ^ [V_1: $i > $o] : ( mvalid @ V_1 ) ) ),
define([status(thm)]) ).
thf(cs4_all,axiom,
( cs4_all
= ( ^ [A: individuals > $i > $o] : ( mbox @ reli @ ( mall @ A ) ) ) ) ).
thf(mall,axiom,
( mall
= ( ^ [P: individuals > $i > $o,W: $i] :
! [X: individuals] : ( P @ X @ W ) ) ) ).
thf('28',plain,
( mall
= ( ^ [P: individuals > $i > $o,W: $i] :
! [X: individuals] : ( P @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mall]) ).
thf('29',plain,
( mall
= ( ^ [V_1: individuals > $i > $o,V_2: $i] :
! [X4: individuals] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf('30',plain,
( cs4_all
= ( ^ [A: individuals > $i > $o] : ( mbox @ reli @ ( mall @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cs4_all,'29','5']) ).
thf('31',plain,
( cs4_all
= ( ^ [V_1: individuals > $i > $o] : ( mbox @ reli @ ( mall @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(loca_strength,axiom,
( cs4_valid
@ ( cs4_all
@ ^ [K: individuals] : ( cs4_impl @ ( princ_inj @ K ) @ ( princ_inj @ loca ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i] :
( ( reli @ X4 @ X6 )
=> ! [X8: individuals,X10: $i] :
( ( reli @ X6 @ X10 )
=> ( ( princ_inj @ loca @ X10 )
| ~ ( princ_inj @ X8 @ X10 ) ) ) ) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: individuals] :
( !!
@ ^ [Y3: $i] :
( ( reli @ Y1 @ Y3 )
=> ( ( princ_inj @ loca @ Y3 )
| ( (~) @ ( princ_inj @ Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl82,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: individuals] :
( !!
@ ^ [Y2: $i] :
( ( reli @ Y0 @ Y2 )
=> ( ( princ_inj @ loca @ Y2 )
| ( (~) @ ( princ_inj @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl83,plain,
! [X2: $i,X4: $i] :
( ( reli @ X2 @ X4 )
=> ( !!
@ ^ [Y0: individuals] :
( !!
@ ^ [Y1: $i] :
( ( reli @ X4 @ Y1 )
=> ( ( princ_inj @ loca @ Y1 )
| ( (~) @ ( princ_inj @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl84,plain,
! [X2: $i,X4: $i] :
( ~ ( reli @ X2 @ X4 )
| ( !!
@ ^ [Y0: individuals] :
( !!
@ ^ [Y1: $i] :
( ( reli @ X4 @ Y1 )
=> ( ( princ_inj @ loca @ Y1 )
| ( (~) @ ( princ_inj @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl85,plain,
! [X2: $i,X4: $i,X6: individuals] :
( ( !!
@ ^ [Y0: $i] :
( ( reli @ X4 @ Y0 )
=> ( ( princ_inj @ loca @ Y0 )
| ( (~) @ ( princ_inj @ X6 @ Y0 ) ) ) ) )
| ~ ( reli @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl86,plain,
! [X2: $i,X4: $i,X6: individuals,X8: $i] :
( ( ( reli @ X4 @ X8 )
=> ( ( princ_inj @ loca @ X8 )
| ( (~) @ ( princ_inj @ X6 @ X8 ) ) ) )
| ~ ( reli @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl87,plain,
! [X2: $i,X4: $i,X6: individuals,X8: $i] :
( ~ ( reli @ X4 @ X8 )
| ( princ_inj @ loca @ X8 )
| ( (~) @ ( princ_inj @ X6 @ X8 ) )
| ~ ( reli @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl88,plain,
! [X2: $i,X4: $i,X6: individuals,X8: $i] :
( ( princ_inj @ loca @ X8 )
| ~ ( princ_inj @ X6 @ X8 )
| ~ ( reli @ X2 @ X4 )
| ~ ( reli @ X4 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl755,plain,
! [X0: $i,X1: $i] :
( ~ ( reli @ X0 @ ( '#sk9' @ '#sk7' ) )
| ~ ( reli @ X1 @ X0 )
| ( princ_inj @ loca @ ( '#sk9' @ '#sk7' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl753,zip_derived_cl88]) ).
thf(zip_derived_cl17_001,plain,
reli @ '#sk4' @ '#sk5',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl27_002,plain,
reli @ '#sk6' @ '#sk7',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl36_003,plain,
reli @ '#sk7' @ '#sk8',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl42,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( princ_inj @ loca @ ( '#sk9' @ X6 ) )
| ~ ( reli @ X6 @ X8 )
| ( '#sk2' @ X8 )
| ~ ( reli @ '#sk4' @ X2 )
| ~ ( relr @ X2 @ X4 )
| ~ ( reli @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ~ ( reli @ X0 @ '#sk7' )
| ~ ( relr @ X1 @ X0 )
| ~ ( reli @ '#sk4' @ X1 )
| ( '#sk2' @ '#sk8' )
| ~ ( princ_inj @ loca @ ( '#sk9' @ '#sk7' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl42]) ).
thf(zip_derived_cl37_004,plain,
~ ( '#sk2' @ '#sk8' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ~ ( reli @ X0 @ '#sk7' )
| ~ ( relr @ X1 @ X0 )
| ~ ( reli @ '#sk4' @ X1 )
| ~ ( princ_inj @ loca @ ( '#sk9' @ '#sk7' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl37]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ~ ( princ_inj @ loca @ ( '#sk9' @ '#sk7' ) )
| ~ ( reli @ '#sk4' @ X0 )
| ~ ( relr @ X0 @ '#sk6' ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl55]) ).
thf(zip_derived_cl58,plain,
( ~ ( relr @ '#sk5' @ '#sk6' )
| ~ ( princ_inj @ loca @ ( '#sk9' @ '#sk7' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl56]) ).
thf(zip_derived_cl22_005,plain,
relr @ '#sk5' @ '#sk6',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl59,plain,
~ ( princ_inj @ loca @ ( '#sk9' @ '#sk7' ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl22]) ).
thf(zip_derived_cl1435,plain,
! [X0: $i,X1: $i] :
( ~ ( reli @ X1 @ X0 )
| ~ ( reli @ X0 @ ( '#sk9' @ '#sk7' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl755,zip_derived_cl59]) ).
thf(zip_derived_cl1465,plain,
~ ( reli @ ( '#sk9' @ '#sk7' ) @ ( '#sk9' @ '#sk7' ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1435]) ).
thf(refl_axiom_i,axiom,
! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ A ) @ A ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i > $o,X6: $i] :
( ( X4 @ X6 )
| ~ ! [X8: $i] :
( ( reli @ X6 @ X8 )
=> ( X4 @ X8 ) ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl46,plain,
! [X2: $i > $o] :
( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( X2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl47,plain,
! [X2: $i > $o,X4: $i] :
( ( X2 @ X4 )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( reli @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl48,plain,
! [X2: $i > $o,X4: $i] :
( ( X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( reli @ X4 @ Y0 )
=> ( X2 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl49,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( ( reli @ X4 @ ( '#sk10' @ X2 @ X4 ) )
=> ( X2 @ ( '#sk10' @ X2 @ X4 ) ) )
| ( X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl50,plain,
! [X2: $i > $o,X4: $i] :
( ( reli @ X4 @ ( '#sk10' @ X2 @ X4 ) )
| ( X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl51,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( X2 @ ( '#sk10' @ X2 @ X4 ) )
| ( X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( reli @ X0 @ X0 )
| ( reli @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl51]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] : ( reli @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl1466,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1465,zip_derived_cl64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV444^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.y250URLr4K true
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 05:52:43 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.20/0.64 % Total configuration time : 828
% 0.20/0.64 % Estimated wc time : 1656
% 0.20/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.93/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.93/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.93/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.93/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.93/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.93/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.42/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.42/0.77 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.42/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.45/0.88 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.71/0.92 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 1.71/0.93 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 13.00/2.27 % Solved by lams/15_lifting3.sh.
% 13.00/2.27 % done 173 iterations in 1.293s
% 13.00/2.27 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.00/2.27 % SZS output start Refutation
% See solution above
% 13.00/2.27
% 13.00/2.27
% 13.00/2.27 % Terminating...
% 13.00/2.35 % Runner terminated.
% 13.00/2.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------