TSTP Solution File: SYO064^4.002 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO064^4.002 : 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.Ys5X0Dzdqc true
% Computer : n020.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 05:49:29 EDT 2023
% Result : Theorem 1.48s 1.05s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 52
% Syntax : Number of formulae : 160 ( 54 unt; 22 typ; 0 def)
% Number of atoms : 745 ( 30 equ; 2 cnn)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 1705 ( 163 ~; 237 |; 29 &;1023 @)
% ( 0 <=>; 142 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 97 ( 97 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 22 usr; 9 con; 0-3 aty)
% ( 111 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 368 ( 171 ^; 197 !; 0 ?; 368 :)
% Comments :
%------------------------------------------------------------------------------
thf(iatom_type,type,
iatom: ( $i > $o ) > $i > $o ).
thf(a2_type,type,
a2: $i > $o ).
thf(ivalid_type,type,
ivalid: ( $i > $o ) > $o ).
thf(a1_type,type,
a1: $i > $o ).
thf(irel_type,type,
irel: $i > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(ior_type,type,
ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf('#sk6_type',type,
'#sk6': $i > $i ).
thf(b1_type,type,
b1: $i > $o ).
thf(iimplies_type,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(a_type,type,
a: $i > $o ).
thf(iand_type,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf('#sk5_type',type,
'#sk5': $i ).
thf(b_type,type,
b: $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(ivalid,axiom,
( ivalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( ivalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[ivalid]) ).
thf('1',plain,
( ivalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(ior,axiom,
( ior
= ( ^ [P: $i > $o,Q: $i > $o] : ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ( irel @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('2',plain,
( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ( irel @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('3',plain,
( mbox_s4
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( irel @ V_2 @ X4 )
=> ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mor,axiom,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('4',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('5',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('6',plain,
( ior
= ( ^ [P: $i > $o,Q: $i > $o] : ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ior,'3','5']) ).
thf('7',plain,
( ior
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(iand,axiom,
( iand
= ( ^ [P: $i > $o,Q: $i > $o] : ( mand @ P @ Q ) ) ) ).
thf(mand,axiom,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ) ).
thf('8',plain,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand]) ).
thf('9',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf('10',plain,
( iand
= ( ^ [P: $i > $o,Q: $i > $o] : ( mand @ P @ Q ) ) ),
inference(simplify_rw_rule,[status(thm)],[iand,'9']) ).
thf('11',plain,
( iand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mand @ V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(iatom,axiom,
( iatom
= ( ^ [P: $i > $o] : P ) ) ).
thf('12',plain,
( iatom
= ( ^ [P: $i > $o] : P ) ),
inference(simplify_rw_rule,[status(thm)],[iatom]) ).
thf('13',plain,
( iatom
= ( ^ [V_1: $i > $o] : V_1 ) ),
define([status(thm)]) ).
thf(con,conjecture,
ivalid @ ( ior @ ( iatom @ a ) @ ( ior @ ( iand @ ( iatom @ b ) @ ( iatom @ a1 ) ) @ ( iand @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( ( a2 @ X12 )
& ( b1 @ X12 ) ) )
| ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( ( a1 @ X10 )
& ( b @ X10 ) ) ) ) )
| ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( a @ X6 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( ( a2 @ X12 )
& ( b1 @ X12 ) ) )
| ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( ( a1 @ X10 )
& ( b @ X10 ) ) ) ) )
| ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( a @ X6 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( a2 @ Y2 )
& ( b1 @ Y2 ) ) ) )
| ( !!
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( a1 @ Y2 )
& ( b @ Y2 ) ) ) ) ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( irel @ '#sk1' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( a2 @ Y1 )
& ( b1 @ Y1 ) ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( a1 @ Y1 )
& ( b @ Y1 ) ) ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ '#sk1' @ Y0 )
=> ( a @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl15,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( irel @ '#sk1' @ Y0 )
=> ( a @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl17,plain,
~ ( ( irel @ '#sk1' @ '#sk3' )
=> ( a @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl20,plain,
irel @ '#sk1' @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(axiom3,axiom,
ivalid @ ( ior @ ( ior @ ( iatom @ b ) @ ( iatom @ a ) ) @ ( iatom @ b ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
( ! [X12: $i] :
( ( irel @ X4 @ X12 )
=> ( b @ X12 ) )
| ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( ! [X10: $i] :
( ( irel @ X6 @ X10 )
=> ( a @ X10 ) )
| ! [X8: $i] :
( ( irel @ X6 @ X8 )
=> ( b @ X8 ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b @ Y1 ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a @ Y2 ) ) )
| ( !!
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl50,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a @ Y1 ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl51,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a @ Y1 ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl52,plain,
! [X2: $i,X4: $i] :
( ( ( irel @ X2 @ X4 )
=> ( b @ X4 ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a @ Y1 ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl53,plain,
! [X2: $i,X4: $i] :
( ~ ( irel @ X2 @ X4 )
| ( b @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a @ Y1 ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl54,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( irel @ X2 @ X6 )
=> ( ( !!
@ ^ [Y0: $i] :
( ( irel @ X6 @ Y0 )
=> ( a @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X6 @ Y0 )
=> ( b @ Y0 ) ) ) ) )
| ( b @ X4 )
| ~ ( irel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl55,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( irel @ X2 @ X6 )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X6 @ Y0 )
=> ( a @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X6 @ Y0 )
=> ( b @ Y0 ) ) )
| ~ ( irel @ X2 @ X4 )
| ( b @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl56,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( irel @ X6 @ Y0 )
=> ( a @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X6 @ Y0 )
=> ( b @ Y0 ) ) )
| ( b @ X4 )
| ~ ( irel @ X2 @ X4 )
| ~ ( irel @ X2 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl57,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( irel @ X6 @ X8 )
=> ( a @ X8 ) )
| ~ ( irel @ X2 @ X6 )
| ~ ( irel @ X2 @ X4 )
| ( b @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X6 @ Y0 )
=> ( b @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl58,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( irel @ X6 @ X8 )
| ( a @ X8 )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X6 @ Y0 )
=> ( b @ Y0 ) ) )
| ( b @ X4 )
| ~ ( irel @ X2 @ X4 )
| ~ ( irel @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl59,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( irel @ X6 @ X10 )
=> ( b @ X10 ) )
| ~ ( irel @ X2 @ X6 )
| ~ ( irel @ X2 @ X4 )
| ( b @ X4 )
| ( a @ X8 )
| ~ ( irel @ X6 @ X8 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl60,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( ~ ( irel @ X6 @ X10 )
| ( b @ X10 )
| ~ ( irel @ X6 @ X8 )
| ( a @ X8 )
| ( b @ X4 )
| ~ ( irel @ X2 @ X4 )
| ~ ( irel @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X1 @ X1 )
| ~ ( irel @ X1 @ X0 )
| ( b @ X0 )
| ( a @ X2 )
| ~ ( irel @ X1 @ X2 )
| ( b @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl229,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X1 @ X2 )
| ( a @ X2 )
| ( b @ X0 )
| ~ ( irel @ X1 @ X0 )
| ~ ( irel @ X1 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl227]) ).
thf(refl_axiom,axiom,
! [X: $i] : ( irel @ X @ X ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] : ( irel @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] : ( irel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X1 @ X2 )
| ( a @ X2 )
| ( b @ X0 )
| ~ ( irel @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl7]) ).
thf(zip_derived_cl271,plain,
! [X0: $i] :
( ~ ( irel @ '#sk1' @ X0 )
| ( b @ X0 )
| ( a @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl240]) ).
thf(zip_derived_cl21,plain,
~ ( a @ '#sk3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl283,plain,
! [X0: $i] :
( ~ ( irel @ '#sk1' @ X0 )
| ( b @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl21]) ).
thf(zip_derived_cl14,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( irel @ '#sk1' @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( a2 @ Y1 )
& ( b1 @ Y1 ) ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( a1 @ Y1 )
& ( b @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl16,plain,
~ ( ( irel @ '#sk1' @ '#sk2' )
=> ( ( !!
@ ^ [Y0: $i] :
( ( irel @ '#sk2' @ Y0 )
=> ( ( a2 @ Y0 )
& ( b1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ '#sk2' @ Y0 )
=> ( ( a1 @ Y0 )
& ( b @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl19,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( irel @ '#sk2' @ Y0 )
=> ( ( a2 @ Y0 )
& ( b1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ '#sk2' @ Y0 )
=> ( ( a1 @ Y0 )
& ( b @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl22,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( irel @ '#sk2' @ Y0 )
=> ( ( a2 @ Y0 )
& ( b1 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
~ ( ( irel @ '#sk2' @ '#sk4' )
=> ( ( a2 @ '#sk4' )
& ( b1 @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(axiom1,axiom,
ivalid @ ( iatom @ a2 ) ).
thf(zf_stmt_3,axiom,
! [X4: $i] : ( a2 @ X4 ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] : ( a2 @ Y0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl6,plain,
! [X2: $i] : ( a2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl26,plain,
~ ( ( irel @ '#sk2' @ '#sk4' )
=> ( $true
& ( b1 @ '#sk4' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl6]) ).
thf(zip_derived_cl27,plain,
~ ( ( irel @ '#sk2' @ '#sk4' )
=> ( b1 @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl28,plain,
irel @ '#sk2' @ '#sk4',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl23,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( irel @ '#sk2' @ Y0 )
=> ( ( a1 @ Y0 )
& ( b @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl25,plain,
~ ( ( irel @ '#sk2' @ '#sk5' )
=> ( ( a1 @ '#sk5' )
& ( b @ '#sk5' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl30,plain,
irel @ '#sk2' @ '#sk5',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(iimplies,axiom,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ) ).
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,
( mimplies
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'5','15']) ).
thf('17',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf('18',plain,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[iimplies,'3','17']) ).
thf('19',plain,
( iimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mimplies @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(axiom2,axiom,
ivalid @ ( iimplies @ ( iatom @ b ) @ ( ior @ ( ior @ ( iatom @ b1 ) @ ( iatom @ a1 ) ) @ ( iatom @ b1 ) ) ) ).
thf(zf_stmt_4,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X16: $i] :
( ( irel @ X8 @ X16 )
=> ( b1 @ X16 ) )
| ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( ! [X14: $i] :
( ( irel @ X10 @ X14 )
=> ( a1 @ X14 ) )
| ! [X12: $i] :
( ( irel @ X10 @ X12 )
=> ( b1 @ X12 ) ) ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( b @ X6 ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !!
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( !!
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a1 @ Y3 ) ) )
| ( !!
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b1 @ Y3 ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl33,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) )
| ( !!
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl34,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) )
| ( !!
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl35,plain,
! [X2: $i,X4: $i] :
( ( ( irel @ X2 @ X4 )
=> ( ( !!
@ ^ [Y0: $i] :
( ( irel @ X4 @ Y0 )
=> ( b1 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X4 @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl36,plain,
! [X2: $i,X4: $i] :
( ~ ( irel @ X2 @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X4 @ Y0 )
=> ( b1 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X4 @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl37,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( irel @ X4 @ Y0 )
=> ( b1 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X4 @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ~ ( irel @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl38,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( irel @ X4 @ X6 )
=> ( b1 @ X6 ) )
| ~ ( irel @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X4 @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl39,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( irel @ X4 @ X6 )
| ( b1 @ X6 )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X4 @ Y0 )
=> ( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ~ ( irel @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl40,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( irel @ X4 @ X8 )
=> ( ( !!
@ ^ [Y0: $i] :
( ( irel @ X8 @ Y0 )
=> ( a1 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X8 @ Y0 )
=> ( b1 @ Y0 ) ) ) ) )
| ~ ( irel @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ( b1 @ X6 )
| ~ ( irel @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl41,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( irel @ X4 @ X8 )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X8 @ Y0 )
=> ( a1 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X8 @ Y0 )
=> ( b1 @ Y0 ) ) )
| ~ ( irel @ X4 @ X6 )
| ( b1 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ~ ( irel @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl42,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( irel @ X8 @ Y0 )
=> ( a1 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X8 @ Y0 )
=> ( b1 @ Y0 ) ) )
| ~ ( irel @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ( b1 @ X6 )
| ~ ( irel @ X4 @ X6 )
| ~ ( irel @ X4 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl43,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( irel @ X8 @ X10 )
=> ( a1 @ X10 ) )
| ~ ( irel @ X4 @ X8 )
| ~ ( irel @ X4 @ X6 )
| ( b1 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ~ ( irel @ X2 @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X8 @ Y0 )
=> ( b1 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl44,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( ~ ( irel @ X8 @ X10 )
| ( a1 @ X10 )
| ( !!
@ ^ [Y0: $i] :
( ( irel @ X8 @ Y0 )
=> ( b1 @ Y0 ) ) )
| ~ ( irel @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ( b1 @ X6 )
| ~ ( irel @ X4 @ X6 )
| ~ ( irel @ X4 @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl45,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( ( irel @ X8 @ X12 )
=> ( b1 @ X12 ) )
| ~ ( irel @ X4 @ X8 )
| ~ ( irel @ X4 @ X6 )
| ( b1 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ~ ( irel @ X2 @ X4 )
| ( a1 @ X10 )
| ~ ( irel @ X8 @ X10 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl46,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( irel @ X8 @ X12 )
| ( b1 @ X12 )
| ~ ( irel @ X8 @ X10 )
| ( a1 @ X10 )
| ~ ( irel @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ( b1 @ X6 )
| ~ ( irel @ X4 @ X6 )
| ~ ( irel @ X4 @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl47,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( ( irel @ X2 @ ( '#sk6' @ X2 ) )
=> ( b @ ( '#sk6' @ X2 ) ) )
| ~ ( irel @ X4 @ X8 )
| ~ ( irel @ X4 @ X6 )
| ( b1 @ X6 )
| ~ ( irel @ X2 @ X4 )
| ( a1 @ X10 )
| ~ ( irel @ X8 @ X10 )
| ( b1 @ X12 )
| ~ ( irel @ X8 @ X12 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl48,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( irel @ X2 @ ( '#sk6' @ X2 ) )
| ~ ( irel @ X8 @ X12 )
| ( b1 @ X12 )
| ~ ( irel @ X8 @ X10 )
| ( a1 @ X10 )
| ~ ( irel @ X2 @ X4 )
| ( b1 @ X6 )
| ~ ( irel @ X4 @ X6 )
| ~ ( irel @ X4 @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( irel @ X1 @ X1 )
| ~ ( irel @ X1 @ X0 )
| ( b1 @ X0 )
| ~ ( irel @ X2 @ X1 )
| ( a1 @ X3 )
| ~ ( irel @ X1 @ X3 )
| ( b1 @ X0 )
| ( irel @ X2 @ ( '#sk6' @ X2 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( irel @ X2 @ ( '#sk6' @ X2 ) )
| ~ ( irel @ X1 @ X3 )
| ( a1 @ X3 )
| ~ ( irel @ X2 @ X1 )
| ( b1 @ X0 )
| ~ ( irel @ X1 @ X0 )
| ~ ( irel @ X1 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl7_001,plain,
! [X2: $i] : ( irel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( irel @ X2 @ ( '#sk6' @ X2 ) )
| ~ ( irel @ X1 @ X3 )
| ( a1 @ X3 )
| ~ ( irel @ X2 @ X1 )
| ( b1 @ X0 )
| ~ ( irel @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl7]) ).
thf(zip_derived_cl658,plain,
! [X0: $i,X1: $i] :
( ~ ( irel @ '#sk2' @ X0 )
| ( b1 @ X0 )
| ~ ( irel @ X1 @ '#sk2' )
| ( a1 @ '#sk5' )
| ( irel @ X1 @ ( '#sk6' @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl116]) ).
thf(zip_derived_cl31,plain,
~ ( ( a1 @ '#sk5' )
& ( b @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
( ~ ( a1 @ '#sk5' )
| ~ ( b @ '#sk5' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl283_002,plain,
! [X0: $i] :
( ~ ( irel @ '#sk1' @ X0 )
| ( b @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl21]) ).
thf(zip_derived_cl18,plain,
irel @ '#sk1' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl30_003,plain,
irel @ '#sk2' @ '#sk5',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(trans_axiom,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( irel @ Y @ Z )
& ( irel @ X @ Y ) )
=> ( irel @ X @ Z ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( irel @ Y1 @ Y2 )
& ( irel @ Y0 @ Y1 ) )
=> ( irel @ Y0 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[trans_axiom]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( irel @ Y0 @ Y1 )
& ( irel @ X2 @ Y0 ) )
=> ( irel @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( irel @ X4 @ Y0 )
& ( irel @ X2 @ X4 ) )
=> ( irel @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( irel @ X4 @ X6 )
& ( irel @ X2 @ X4 ) )
=> ( irel @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( irel @ X4 @ X6 )
& ( irel @ X2 @ X4 ) )
| ( irel @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( irel @ X4 @ X6 )
| ~ ( irel @ X2 @ X4 )
| ( irel @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ( irel @ X0 @ '#sk5' )
| ~ ( irel @ X0 @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl12]) ).
thf(zip_derived_cl77,plain,
irel @ '#sk1' @ '#sk5',
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl61]) ).
thf(zip_derived_cl289,plain,
b @ '#sk5',
inference('sup+',[status(thm)],[zip_derived_cl283,zip_derived_cl77]) ).
thf(zip_derived_cl309,plain,
~ ( a1 @ '#sk5' ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl289]) ).
thf(zip_derived_cl676,plain,
! [X0: $i,X1: $i] :
( ~ ( irel @ '#sk2' @ X0 )
| ( b1 @ X0 )
| ~ ( irel @ X1 @ '#sk2' )
| ( irel @ X1 @ ( '#sk6' @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl658,zip_derived_cl309]) ).
thf(zip_derived_cl722,plain,
! [X0: $i] :
( ( irel @ X0 @ ( '#sk6' @ X0 ) )
| ~ ( irel @ X0 @ '#sk2' )
| ( b1 @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl676]) ).
thf(zip_derived_cl29,plain,
~ ( b1 @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl729,plain,
! [X0: $i] :
( ( irel @ X0 @ ( '#sk6' @ X0 ) )
| ~ ( irel @ X0 @ '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl722,zip_derived_cl29]) ).
thf(zip_derived_cl750,plain,
( ( b @ ( '#sk6' @ '#sk1' ) )
| ~ ( irel @ '#sk1' @ '#sk2' ) ),
inference('sup+',[status(thm)],[zip_derived_cl283,zip_derived_cl729]) ).
thf(zip_derived_cl28_004,plain,
irel @ '#sk2' @ '#sk4',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl30_005,plain,
irel @ '#sk2' @ '#sk5',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl49,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( b @ ( '#sk6' @ X2 ) )
| ~ ( irel @ X8 @ X12 )
| ( b1 @ X12 )
| ~ ( irel @ X8 @ X10 )
| ( a1 @ X10 )
| ~ ( irel @ X2 @ X4 )
| ( b1 @ X6 )
| ~ ( irel @ X4 @ X6 )
| ~ ( irel @ X4 @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( irel @ X1 @ X1 )
| ~ ( irel @ X1 @ X0 )
| ( b1 @ X0 )
| ~ ( irel @ X2 @ X1 )
| ( a1 @ X3 )
| ~ ( irel @ X1 @ X3 )
| ( b1 @ X0 )
| ~ ( b @ ( '#sk6' @ X2 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ ( '#sk6' @ X2 ) )
| ~ ( irel @ X1 @ X3 )
| ( a1 @ X3 )
| ~ ( irel @ X2 @ X1 )
| ( b1 @ X0 )
| ~ ( irel @ X1 @ X0 )
| ~ ( irel @ X1 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl7_006,plain,
! [X2: $i] : ( irel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ ( '#sk6' @ X2 ) )
| ~ ( irel @ X1 @ X3 )
| ( a1 @ X3 )
| ~ ( irel @ X2 @ X1 )
| ( b1 @ X0 )
| ~ ( irel @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl7]) ).
thf(zip_derived_cl163,plain,
! [X0: $i,X1: $i] :
( ~ ( irel @ '#sk2' @ X0 )
| ( b1 @ X0 )
| ~ ( irel @ X1 @ '#sk2' )
| ( a1 @ '#sk5' )
| ~ ( b @ ( '#sk6' @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl152]) ).
thf(zip_derived_cl309_007,plain,
~ ( a1 @ '#sk5' ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl289]) ).
thf(zip_derived_cl508,plain,
! [X0: $i,X1: $i] :
( ~ ( irel @ '#sk2' @ X0 )
| ( b1 @ X0 )
| ~ ( irel @ X1 @ '#sk2' )
| ~ ( b @ ( '#sk6' @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl309]) ).
thf(zip_derived_cl510,plain,
! [X0: $i] :
( ~ ( b @ ( '#sk6' @ X0 ) )
| ~ ( irel @ X0 @ '#sk2' )
| ( b1 @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl508]) ).
thf(zip_derived_cl29_008,plain,
~ ( b1 @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl518,plain,
! [X0: $i] :
( ~ ( b @ ( '#sk6' @ X0 ) )
| ~ ( irel @ X0 @ '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl510,zip_derived_cl29]) ).
thf(zip_derived_cl18_009,plain,
irel @ '#sk1' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl525,plain,
~ ( b @ ( '#sk6' @ '#sk1' ) ),
inference('sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl18]) ).
thf(zip_derived_cl18_010,plain,
irel @ '#sk1' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl778,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl750,zip_derived_cl525,zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO064^4.002 : 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.Ys5X0Dzdqc true
% 0.14/0.35 % Computer : n020.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 : Sat Aug 26 00:43:45 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
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.21/0.68 % Total configuration time : 828
% 0.21/0.68 % Estimated wc time : 1656
% 0.21/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.80/0.85 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.48/1.05 % Solved by lams/30_sp5.sh.
% 1.48/1.05 % done 271 iterations in 0.222s
% 1.48/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.48/1.05 % SZS output start Refutation
% See solution above
% 1.48/1.05
% 1.48/1.05
% 1.48/1.05 % Terminating...
% 2.23/1.17 % Runner terminated.
% 2.23/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------