TSTP Solution File: NLP266^4 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NLP266^4 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZnvP2yRa8m true
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:20:07 EDT 2023
% Result : Theorem 2.24s 0.95s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 46
% Syntax : Number of formulae : 173 ( 39 unt; 24 typ; 0 def)
% Number of atoms : 678 ( 18 equ; 0 cnn)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 2746 ( 193 ~; 178 |; 82 &;2078 @)
% ( 0 <=>; 105 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 88 ( 88 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 23 usr; 8 con; 0-4 aty)
% ( 80 !!; 30 ??; 0 @@+; 0 @@-)
% Number of variables : 456 ( 161 ^; 281 !; 14 ?; 456 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(in_type,type,
in: $i > $i > $i > mworld > $o ).
thf('#sk4_type',type,
'#sk4': $i > $i > $i > $i > mworld ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf('#sk5_type',type,
'#sk5': $i > $i > mworld ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(string_type,type,
string: $i > mworld > $o ).
thf(number_type,type,
number: $i > $i > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(userid_type,type,
userid: $i > $i > mworld > $o ).
thf(entry_box_type,type,
entry_box: $i > mworld > $o ).
thf(one_type,type,
one: $i ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf('#sk6_type',type,
'#sk6': $i > $i > $i > $i > $i ).
thf(mexists_di_type,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(do_type,type,
do: $i > $i > $i > mworld > $o ).
thf('#sk3_type',type,
'#sk3': mworld ).
thf('#sk7_type',type,
'#sk7': mworld > $i > $i > $i > $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(u_type,type,
u: $i ).
thf('#sk2_type',type,
'#sk2': mworld > $i ).
thf(mexists_di_def,axiom,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] : ( A @ X @ W ) ) ) ).
thf('0',plain,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] : ( A @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_di_def]) ).
thf('1',plain,
( mexists_di
= ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
? [X4: $i] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ) ).
thf('2',plain,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).
thf('3',plain,
( mbox
= ( ^ [V_1: mworld > $o,V_2: mworld] :
! [X4: mworld] :
( ( mrel @ V_2 @ X4 )
=> ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mand_def,axiom,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ) ).
thf('4',plain,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand_def]) ).
thf('5',plain,
( mand
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
thf('6',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('7',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(ax1,axiom,
( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [I: $i] : ( mbox @ ( mand @ ( userid @ u @ I ) @ ( string @ I ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ? [X6: $i] :
! [X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ( ( string @ X6 @ X8 )
& ( userid @ u @ X6 @ X8 ) ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( ( string @ Y1 @ Y2 )
& ( userid @ u @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17,plain,
! [X2: mworld] :
( ( mrel @ mactual @ X2 )
=> ( ??
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mworld] :
( ( mrel @ X2 @ Y1 )
=> ( ( string @ Y0 @ Y1 )
& ( userid @ u @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl18,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( ??
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mworld] :
( ( mrel @ X2 @ Y1 )
=> ( ( string @ Y0 @ Y1 )
& ( userid @ u @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
! [X2: mworld] :
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( ( string @ ( '#sk2' @ X2 ) @ Y0 )
& ( userid @ u @ ( '#sk2' @ X2 ) @ Y0 ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( ( string @ ( '#sk2' @ X2 ) @ X4 )
& ( userid @ u @ ( '#sk2' @ X2 ) @ X4 ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ( ( string @ ( '#sk2' @ X2 ) @ X4 )
& ( userid @ u @ ( '#sk2' @ X2 ) @ X4 ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl23,plain,
! [X2: mworld,X4: mworld] :
( ( userid @ u @ ( '#sk2' @ X2 ) @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(ax2,axiom,
( mlocal
@ ( mexists_di
@ ^ [B: $i] : ( mbox @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
? [X4: $i] :
! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ( ( number @ X4 @ one @ X6 )
& ( entry_box @ X4 @ X6 ) ) ) ).
thf(zip_derived_cl3,plain,
( ??
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( ( number @ Y0 @ one @ Y1 )
& ( entry_box @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( number @ '#sk1' @ one @ Y0 )
& ( entry_box @ '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl13,plain,
! [X2: mworld] :
( ( mrel @ mactual @ X2 )
=> ( ( number @ '#sk1' @ one @ X2 )
& ( entry_box @ '#sk1' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( ( number @ '#sk1' @ one @ X2 )
& ( entry_box @ '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
! [X2: mworld] :
( ( number @ '#sk1' @ one @ X2 )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl16,plain,
! [X2: mworld] :
( ( entry_box @ '#sk1' @ X2 )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl22,plain,
! [X2: mworld,X4: mworld] :
( ( string @ ( '#sk2' @ X2 ) @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl16_001,plain,
! [X2: mworld] :
( ( entry_box @ '#sk1' @ X2 )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ) ).
thf('8',plain,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_di_def]) ).
thf('9',plain,
( mforall_di
= ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
! [X4: $i] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ) ).
thf('10',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('11',plain,
( mimplies
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
=> ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(con,conjecture,
( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [I: $i] :
( mexists_di
@ ^ [B: $i] :
( mexists_di
@ ^ [A: $i] :
( mexists_di
@ ^ [S: $i] :
( mand @ ( mbox @ ( mand @ ( userid @ u @ I ) @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) )
@ ( mbox
@ ( mforall_di
@ ^ [S2: $i] : ( mimplies @ ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_2,conjecture,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ? [X6: $i,X8: $i,X10: $i,X12: $i] :
( ! [X16: mworld] :
( ( mrel @ X4 @ X16 )
=> ! [X18: $i] :
( ( do @ X12 @ X10 @ X18 @ X16 )
=> ( in @ X6 @ X8 @ X18 @ X16 ) ) )
& ! [X14: mworld] :
( ( mrel @ X4 @ X14 )
=> ( ( number @ X8 @ one @ X14 )
& ( entry_box @ X8 @ X14 )
& ( userid @ u @ X6 @ X14 ) ) ) ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ? [X6: $i,X8: $i,X10: $i,X12: $i] :
( ! [X16: mworld] :
( ( mrel @ X4 @ X16 )
=> ! [X18: $i] :
( ( do @ X12 @ X10 @ X18 @ X16 )
=> ( in @ X6 @ X8 @ X18 @ X16 ) ) )
& ! [X14: mworld] :
( ( mrel @ X4 @ X14 )
=> ( ( number @ X8 @ one @ X14 )
& ( entry_box @ X8 @ X14 )
& ( userid @ u @ X6 @ X14 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ??
@ ^ [Y4: $i] :
( ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( !!
@ ^ [Y6: $i] :
( ( do @ Y4 @ Y3 @ Y6 @ Y5 )
=> ( in @ Y1 @ Y2 @ Y6 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( ( number @ Y2 @ one @ Y5 )
& ( entry_box @ Y2 @ Y5 )
& ( userid @ u @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl24,plain,
~ ( ( mrel @ mactual @ '#sk3' )
=> ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk3' @ Y4 )
=> ( !!
@ ^ [Y5: $i] :
( ( do @ Y3 @ Y2 @ Y5 @ Y4 )
=> ( in @ Y0 @ Y1 @ Y5 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk3' @ Y4 )
=> ( ( number @ Y1 @ one @ Y4 )
& ( entry_box @ Y1 @ Y4 )
& ( userid @ u @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl26,plain,
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i] :
( ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk3' @ Y4 )
=> ( !!
@ ^ [Y5: $i] :
( ( do @ Y3 @ Y2 @ Y5 @ Y4 )
=> ( in @ Y0 @ Y1 @ Y5 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk3' @ Y4 )
=> ( ( number @ Y1 @ one @ Y4 )
& ( entry_box @ Y1 @ Y4 )
& ( userid @ u @ Y0 @ Y4 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl27,plain,
! [X2: $i] :
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk3' @ Y3 )
=> ( !!
@ ^ [Y4: $i] :
( ( do @ Y2 @ Y1 @ Y4 @ Y3 )
=> ( in @ X2 @ Y0 @ Y4 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk3' @ Y3 )
=> ( ( number @ Y0 @ one @ Y3 )
& ( entry_box @ Y0 @ Y3 )
& ( userid @ u @ X2 @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i] :
~ ( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk3' @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( do @ Y1 @ Y0 @ Y3 @ Y2 )
=> ( in @ X2 @ X4 @ Y3 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk3' @ Y2 )
=> ( ( number @ X4 @ one @ Y2 )
& ( entry_box @ X4 @ Y2 )
& ( userid @ u @ X2 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i,X6: $i] :
~ ( ??
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk3' @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( do @ Y0 @ X6 @ Y2 @ Y1 )
=> ( in @ X2 @ X4 @ Y2 @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk3' @ Y1 )
=> ( ( number @ X4 @ one @ Y1 )
& ( entry_box @ X4 @ Y1 )
& ( userid @ u @ X2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
~ ( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk3' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( do @ X8 @ X6 @ Y1 @ Y0 )
=> ( in @ X2 @ X4 @ Y1 @ Y0 ) ) ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk3' @ Y0 )
=> ( ( number @ X4 @ one @ Y0 )
& ( entry_box @ X4 @ Y0 )
& ( userid @ u @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl31,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk3' @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( do @ X8 @ X6 @ Y1 @ Y0 )
=> ( in @ X2 @ X4 @ Y1 @ Y0 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk3' @ Y0 )
=> ( ( number @ X4 @ one @ Y0 )
& ( entry_box @ X4 @ Y0 )
& ( userid @ u @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( mrel @ '#sk3' @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( do @ X8 @ X6 @ Y0 @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) )
=> ( in @ X2 @ X4 @ Y0 @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk3' @ Y0 )
=> ( ( number @ X4 @ one @ Y0 )
& ( entry_box @ X4 @ Y0 )
& ( userid @ u @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl34,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( do @ X8 @ X6 @ Y0 @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) )
=> ( in @ X2 @ X4 @ Y0 @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk3' @ Y0 )
=> ( ( number @ X4 @ one @ Y0 )
& ( entry_box @ X4 @ Y0 )
& ( userid @ u @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl36,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( do @ X8 @ X6 @ ( '#sk6' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) )
=> ( in @ X2 @ X4 @ ( '#sk6' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk3' @ Y0 )
=> ( ( number @ X4 @ one @ Y0 )
& ( entry_box @ X4 @ Y0 )
& ( userid @ u @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl40,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( in @ X2 @ X4 @ ( '#sk6' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk3' @ Y0 )
=> ( ( number @ X4 @ one @ Y0 )
& ( entry_box @ X4 @ Y0 )
& ( userid @ u @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl43,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( mrel @ '#sk3' @ ( '#sk5' @ X2 @ X4 ) )
=> ( ( number @ X4 @ one @ ( '#sk5' @ X2 @ X4 ) )
& ( entry_box @ X4 @ ( '#sk5' @ X2 @ X4 ) )
& ( userid @ u @ X2 @ ( '#sk5' @ X2 @ X4 ) ) ) )
| ~ ( in @ X2 @ X4 @ ( '#sk6' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl46,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( mrel @ '#sk3' @ ( '#sk5' @ X2 @ X4 ) )
| ~ ( in @ X2 @ X4 @ ( '#sk6' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl43]) ).
thf(mrel_reflexive,axiom,
! [W: mworld] : ( mrel @ W @ W ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: mworld] : ( mrel @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[mrel_reflexive]) ).
thf(zip_derived_cl6,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl22_002,plain,
! [X2: mworld,X4: mworld] :
( ( string @ ( '#sk2' @ X2 ) @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl16_003,plain,
! [X2: mworld] :
( ( entry_box @ '#sk1' @ X2 )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl33,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( mrel @ '#sk3' @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk3' @ Y0 )
=> ( ( number @ X4 @ one @ Y0 )
& ( entry_box @ X4 @ Y0 )
& ( userid @ u @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl35,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( mrel @ '#sk3' @ ( '#sk5' @ X2 @ X4 ) )
=> ( ( number @ X4 @ one @ ( '#sk5' @ X2 @ X4 ) )
& ( entry_box @ X4 @ ( '#sk5' @ X2 @ X4 ) )
& ( userid @ u @ X2 @ ( '#sk5' @ X2 @ X4 ) ) ) )
| ( mrel @ '#sk3' @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl37,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( mrel @ '#sk3' @ ( '#sk5' @ X2 @ X4 ) )
| ( mrel @ '#sk3' @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(ax3,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [S: $i] :
( mforall_di
@ ^ [I: $i] :
( mforall_di
@ ^ [B: $i] :
( mimplies @ ( mand @ ( string @ I ) @ ( entry_box @ B ) )
@ ( mexists_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [S2: $i] : ( mimplies @ ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_4,axiom,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i,X8: $i,X10: $i] :
( ( ( entry_box @ X10 @ X4 )
& ( string @ X8 @ X4 ) )
=> ? [X12: $i] :
! [X14: mworld] :
( ( mrel @ X4 @ X14 )
=> ! [X16: $i] :
( ( do @ X6 @ X12 @ X16 @ X14 )
=> ( in @ X8 @ X10 @ X16 @ X14 ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( entry_box @ Y3 @ Y0 )
& ( string @ Y2 @ Y0 ) )
=> ( ??
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( !!
@ ^ [Y6: $i] :
( ( do @ Y1 @ Y4 @ Y6 @ Y5 )
=> ( in @ Y2 @ Y3 @ Y6 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl50,plain,
! [X2: mworld] :
( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( entry_box @ Y2 @ X2 )
& ( string @ Y1 @ X2 ) )
=> ( ??
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: mworld] :
( ( mrel @ X2 @ Y4 )
=> ( !!
@ ^ [Y5: $i] :
( ( do @ Y0 @ Y3 @ Y5 @ Y4 )
=> ( in @ Y1 @ Y2 @ Y5 @ Y4 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl51,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( entry_box @ Y2 @ X2 )
& ( string @ Y1 @ X2 ) )
=> ( ??
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: mworld] :
( ( mrel @ X2 @ Y4 )
=> ( !!
@ ^ [Y5: $i] :
( ( do @ Y0 @ Y3 @ Y5 @ Y4 )
=> ( in @ Y1 @ Y2 @ Y5 @ Y4 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl52,plain,
! [X2: mworld,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( entry_box @ Y1 @ X2 )
& ( string @ Y0 @ X2 ) )
=> ( ??
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: mworld] :
( ( mrel @ X2 @ Y3 )
=> ( !!
@ ^ [Y4: $i] :
( ( do @ X4 @ Y2 @ Y4 @ Y3 )
=> ( in @ Y0 @ Y1 @ Y4 @ Y3 ) ) ) ) ) ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl53,plain,
! [X2: mworld,X4: $i,X6: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( entry_box @ Y0 @ X2 )
& ( string @ X6 @ X2 ) )
=> ( ??
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: mworld] :
( ( mrel @ X2 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( do @ X4 @ Y1 @ Y3 @ Y2 )
=> ( in @ X6 @ Y0 @ Y3 @ Y2 ) ) ) ) ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl54,plain,
! [X2: mworld,X4: $i,X6: $i,X8: $i] :
( ( ( ( entry_box @ X8 @ X2 )
& ( string @ X6 @ X2 ) )
=> ( ??
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mworld] :
( ( mrel @ X2 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( do @ X4 @ Y0 @ Y2 @ Y1 )
=> ( in @ X6 @ X8 @ Y2 @ Y1 ) ) ) ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl55,plain,
! [X2: mworld,X4: $i,X6: $i,X8: $i] :
( ~ ( ( entry_box @ X8 @ X2 )
& ( string @ X6 @ X2 ) )
| ( ??
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mworld] :
( ( mrel @ X2 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( do @ X4 @ Y0 @ Y2 @ Y1 )
=> ( in @ X6 @ X8 @ Y2 @ Y1 ) ) ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl56,plain,
! [X2: mworld,X4: $i,X6: $i,X8: $i] :
( ~ ( entry_box @ X8 @ X2 )
| ~ ( string @ X6 @ X2 )
| ~ ( mrel @ mactual @ X2 )
| ( ??
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mworld] :
( ( mrel @ X2 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( do @ X4 @ Y0 @ Y2 @ Y1 )
=> ( in @ X6 @ X8 @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl57,plain,
! [X2: mworld,X4: $i,X6: $i,X8: $i] :
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( do @ X4 @ ( '#sk7' @ X2 @ X4 @ X6 @ X8 ) @ Y1 @ Y0 )
=> ( in @ X6 @ X8 @ Y1 @ Y0 ) ) ) ) )
| ~ ( mrel @ mactual @ X2 )
| ~ ( string @ X6 @ X2 )
| ~ ( entry_box @ X8 @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl58,plain,
! [X2: mworld,X4: $i,X6: $i,X8: $i,X10: mworld] :
( ( ( mrel @ X2 @ X10 )
=> ( !!
@ ^ [Y0: $i] :
( ( do @ X4 @ ( '#sk7' @ X2 @ X4 @ X6 @ X8 ) @ Y0 @ X10 )
=> ( in @ X6 @ X8 @ Y0 @ X10 ) ) ) )
| ~ ( entry_box @ X8 @ X2 )
| ~ ( string @ X6 @ X2 )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl59,plain,
! [X2: mworld,X4: $i,X6: $i,X8: $i,X10: mworld] :
( ~ ( mrel @ X2 @ X10 )
| ( !!
@ ^ [Y0: $i] :
( ( do @ X4 @ ( '#sk7' @ X2 @ X4 @ X6 @ X8 ) @ Y0 @ X10 )
=> ( in @ X6 @ X8 @ Y0 @ X10 ) ) )
| ~ ( mrel @ mactual @ X2 )
| ~ ( string @ X6 @ X2 )
| ~ ( entry_box @ X8 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl60,plain,
! [X2: mworld,X4: $i,X6: $i,X8: $i,X10: mworld,X12: $i] :
( ( ( do @ X4 @ ( '#sk7' @ X2 @ X4 @ X6 @ X8 ) @ X12 @ X10 )
=> ( in @ X6 @ X8 @ X12 @ X10 ) )
| ~ ( entry_box @ X8 @ X2 )
| ~ ( string @ X6 @ X2 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( mrel @ X2 @ X10 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl61,plain,
! [X2: mworld,X4: $i,X6: $i,X8: $i,X10: mworld,X12: $i] :
( ~ ( do @ X4 @ ( '#sk7' @ X2 @ X4 @ X6 @ X8 ) @ X12 @ X10 )
| ( in @ X6 @ X8 @ X12 @ X10 )
| ~ ( mrel @ X2 @ X10 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( string @ X6 @ X2 )
| ~ ( entry_box @ X8 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl39,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( do @ X8 @ X6 @ ( '#sk6' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk3' @ Y0 )
=> ( ( number @ X4 @ one @ Y0 )
& ( entry_box @ X4 @ Y0 )
& ( userid @ u @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl42,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( mrel @ '#sk3' @ ( '#sk5' @ X2 @ X4 ) )
=> ( ( number @ X4 @ one @ ( '#sk5' @ X2 @ X4 ) )
& ( entry_box @ X4 @ ( '#sk5' @ X2 @ X4 ) )
& ( userid @ u @ X2 @ ( '#sk5' @ X2 @ X4 ) ) ) )
| ( do @ X8 @ X6 @ ( '#sk6' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl44,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( mrel @ '#sk3' @ ( '#sk5' @ X2 @ X4 ) )
| ( do @ X8 @ X6 @ ( '#sk6' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i,X2: $i,X3: mworld,X4: $i,X5: $i] :
( ~ ( entry_box @ X1 @ X3 )
| ~ ( string @ X2 @ X3 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X3 @ ( '#sk4' @ X5 @ X4 @ ( '#sk7' @ X3 @ X0 @ X2 @ X1 ) @ X0 ) )
| ( in @ X2 @ X1 @ ( '#sk6' @ X5 @ X4 @ ( '#sk7' @ X3 @ X0 @ X2 @ X1 ) @ X0 ) @ ( '#sk4' @ X5 @ X4 @ ( '#sk7' @ X3 @ X0 @ X2 @ X1 ) @ X0 ) )
| ( mrel @ '#sk3' @ ( '#sk5' @ X5 @ X4 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl44]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( mrel @ '#sk3' @ ( '#sk5' @ X4 @ X3 ) )
| ( mrel @ '#sk3' @ ( '#sk5' @ X4 @ X3 ) )
| ( in @ X2 @ X1 @ ( '#sk6' @ X4 @ X3 @ ( '#sk7' @ '#sk3' @ X0 @ X2 @ X1 ) @ X0 ) @ ( '#sk4' @ X4 @ X3 @ ( '#sk7' @ '#sk3' @ X0 @ X2 @ X1 ) @ X0 ) )
| ~ ( mrel @ mactual @ '#sk3' )
| ~ ( string @ X2 @ '#sk3' )
| ~ ( entry_box @ X1 @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl93]) ).
thf(zip_derived_cl25,plain,
mrel @ mactual @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( mrel @ '#sk3' @ ( '#sk5' @ X4 @ X3 ) )
| ( mrel @ '#sk3' @ ( '#sk5' @ X4 @ X3 ) )
| ( in @ X2 @ X1 @ ( '#sk6' @ X4 @ X3 @ ( '#sk7' @ '#sk3' @ X0 @ X2 @ X1 ) @ X0 ) @ ( '#sk4' @ X4 @ X3 @ ( '#sk7' @ '#sk3' @ X0 @ X2 @ X1 ) @ X0 ) )
| ~ ( string @ X2 @ '#sk3' )
| ~ ( entry_box @ X1 @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl25]) ).
thf(zip_derived_cl107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( entry_box @ X1 @ '#sk3' )
| ~ ( string @ X2 @ '#sk3' )
| ( in @ X2 @ X1 @ ( '#sk6' @ X4 @ X3 @ ( '#sk7' @ '#sk3' @ X0 @ X2 @ X1 ) @ X0 ) @ ( '#sk4' @ X4 @ X3 @ ( '#sk7' @ '#sk3' @ X0 @ X2 @ X1 ) @ X0 ) )
| ( mrel @ '#sk3' @ ( '#sk5' @ X4 @ X3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( mrel @ mactual @ '#sk3' )
| ( mrel @ '#sk3' @ ( '#sk5' @ X1 @ X0 ) )
| ( in @ X3 @ '#sk1' @ ( '#sk6' @ X1 @ X0 @ ( '#sk7' @ '#sk3' @ X2 @ X3 @ '#sk1' ) @ X2 ) @ ( '#sk4' @ X1 @ X0 @ ( '#sk7' @ '#sk3' @ X2 @ X3 @ '#sk1' ) @ X2 ) )
| ~ ( string @ X3 @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl107]) ).
thf(zip_derived_cl25_004,plain,
mrel @ mactual @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( mrel @ '#sk3' @ ( '#sk5' @ X1 @ X0 ) )
| ( in @ X3 @ '#sk1' @ ( '#sk6' @ X1 @ X0 @ ( '#sk7' @ '#sk3' @ X2 @ X3 @ '#sk1' ) @ X2 ) @ ( '#sk4' @ X1 @ X0 @ ( '#sk7' @ '#sk3' @ X2 @ X3 @ '#sk1' ) @ X2 ) )
| ~ ( string @ X3 @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl25]) ).
thf(zip_derived_cl118,plain,
! [X0: mworld,X1: $i,X2: $i,X3: $i] :
( ~ ( mrel @ X0 @ '#sk3' )
| ~ ( mrel @ mactual @ X0 )
| ( in @ ( '#sk2' @ X0 ) @ '#sk1' @ ( '#sk6' @ X3 @ X2 @ ( '#sk7' @ '#sk3' @ X1 @ ( '#sk2' @ X0 ) @ '#sk1' ) @ X1 ) @ ( '#sk4' @ X3 @ X2 @ ( '#sk7' @ '#sk3' @ X1 @ ( '#sk2' @ X0 ) @ '#sk1' ) @ X1 ) )
| ( mrel @ '#sk3' @ ( '#sk5' @ X3 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl116]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mrel @ '#sk3' @ ( '#sk5' @ X1 @ X0 ) )
| ( in @ ( '#sk2' @ '#sk3' ) @ '#sk1' @ ( '#sk6' @ X1 @ X0 @ ( '#sk7' @ '#sk3' @ X2 @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) @ X2 ) @ ( '#sk4' @ X1 @ X0 @ ( '#sk7' @ '#sk3' @ X2 @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) @ X2 ) )
| ~ ( mrel @ mactual @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl118]) ).
thf(zip_derived_cl25_005,plain,
mrel @ mactual @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl125,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mrel @ '#sk3' @ ( '#sk5' @ X1 @ X0 ) )
| ( in @ ( '#sk2' @ '#sk3' ) @ '#sk1' @ ( '#sk6' @ X1 @ X0 @ ( '#sk7' @ '#sk3' @ X2 @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) @ X2 ) @ ( '#sk4' @ X1 @ X0 @ ( '#sk7' @ '#sk3' @ X2 @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl25]) ).
thf(zip_derived_cl192,plain,
( ( mrel @ '#sk3' @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ( mrel @ '#sk3' @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl125]) ).
thf(zip_derived_cl196,plain,
mrel @ '#sk3' @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ),
inference(simplify,[status(thm)],[zip_derived_cl192]) ).
thf(zip_derived_cl23_006,plain,
! [X2: mworld,X4: mworld] :
( ( userid @ u @ ( '#sk2' @ X2 ) @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl15_007,plain,
! [X2: mworld] :
( ( number @ '#sk1' @ one @ X2 )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl38,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( number @ X4 @ one @ ( '#sk5' @ X2 @ X4 ) )
& ( entry_box @ X4 @ ( '#sk5' @ X2 @ X4 ) )
& ( userid @ u @ X2 @ ( '#sk5' @ X2 @ X4 ) ) )
| ( mrel @ '#sk3' @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl41,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( number @ X4 @ one @ ( '#sk5' @ X2 @ X4 ) )
| ~ ( entry_box @ X4 @ ( '#sk5' @ X2 @ X4 ) )
| ~ ( userid @ u @ X2 @ ( '#sk5' @ X2 @ X4 ) )
| ( mrel @ '#sk3' @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( mrel @ mactual @ ( '#sk5' @ X0 @ '#sk1' ) )
| ( mrel @ '#sk3' @ ( '#sk4' @ X0 @ '#sk1' @ X2 @ X1 ) )
| ~ ( userid @ u @ X0 @ ( '#sk5' @ X0 @ '#sk1' ) )
| ~ ( entry_box @ '#sk1' @ ( '#sk5' @ X0 @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl41]) ).
thf(zip_derived_cl16_008,plain,
! [X2: mworld] :
( ( entry_box @ '#sk1' @ X2 )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( userid @ u @ X0 @ ( '#sk5' @ X0 @ '#sk1' ) )
| ( mrel @ '#sk3' @ ( '#sk4' @ X0 @ '#sk1' @ X2 @ X1 ) )
| ~ ( mrel @ mactual @ ( '#sk5' @ X0 @ '#sk1' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl86,zip_derived_cl16]) ).
thf(zip_derived_cl89,plain,
! [X0: mworld,X1: $i,X2: $i] :
( ~ ( mrel @ X0 @ ( '#sk5' @ ( '#sk2' @ X0 ) @ '#sk1' ) )
| ~ ( mrel @ mactual @ X0 )
| ~ ( mrel @ mactual @ ( '#sk5' @ ( '#sk2' @ X0 ) @ '#sk1' ) )
| ( mrel @ '#sk3' @ ( '#sk4' @ ( '#sk2' @ X0 ) @ '#sk1' @ X2 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl88]) ).
thf(mrel_transitive,axiom,
! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ V @ U )
& ( mrel @ W @ V ) )
=> ( mrel @ W @ U ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: mworld] :
( !!
@ ^ [Y1: mworld] :
( !!
@ ^ [Y2: mworld] :
( ( ( mrel @ Y1 @ Y2 )
& ( mrel @ Y0 @ Y1 ) )
=> ( mrel @ Y0 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[mrel_transitive]) ).
thf(zip_derived_cl7,plain,
! [X2: mworld] :
( !!
@ ^ [Y0: mworld] :
( !!
@ ^ [Y1: mworld] :
( ( ( mrel @ Y0 @ Y1 )
& ( mrel @ X2 @ Y0 ) )
=> ( mrel @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl8,plain,
! [X2: mworld,X4: mworld] :
( !!
@ ^ [Y0: mworld] :
( ( ( mrel @ X4 @ Y0 )
& ( mrel @ X2 @ X4 ) )
=> ( mrel @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ X4 @ X6 )
& ( mrel @ X2 @ X4 ) )
=> ( mrel @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( ( mrel @ X4 @ X6 )
& ( mrel @ X2 @ X4 ) )
| ( mrel @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ X4 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ( mrel @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl91,plain,
! [X0: mworld,X1: $i,X2: $i] :
( ( mrel @ '#sk3' @ ( '#sk4' @ ( '#sk2' @ X0 ) @ '#sk1' @ X2 @ X1 ) )
| ~ ( mrel @ mactual @ X0 )
| ~ ( mrel @ X0 @ ( '#sk5' @ ( '#sk2' @ X0 ) @ '#sk1' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl89,zip_derived_cl11]) ).
thf(zip_derived_cl200,plain,
! [X0: $i,X1: $i] :
( ~ ( mrel @ mactual @ '#sk3' )
| ( mrel @ '#sk3' @ ( '#sk4' @ ( '#sk2' @ '#sk3' ) @ '#sk1' @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl91]) ).
thf(zip_derived_cl25_009,plain,
mrel @ mactual @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl204,plain,
! [X0: $i,X1: $i] : ( mrel @ '#sk3' @ ( '#sk4' @ ( '#sk2' @ '#sk3' ) @ '#sk1' @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl25]) ).
thf(zip_derived_cl45,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( number @ X4 @ one @ ( '#sk5' @ X2 @ X4 ) )
& ( entry_box @ X4 @ ( '#sk5' @ X2 @ X4 ) )
& ( userid @ u @ X2 @ ( '#sk5' @ X2 @ X4 ) ) )
| ( do @ X8 @ X6 @ ( '#sk6' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl48,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( number @ X4 @ one @ ( '#sk5' @ X2 @ X4 ) )
| ~ ( entry_box @ X4 @ ( '#sk5' @ X2 @ X4 ) )
| ~ ( userid @ u @ X2 @ ( '#sk5' @ X2 @ X4 ) )
| ( do @ X8 @ X6 @ ( '#sk6' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl61_010,plain,
! [X2: mworld,X4: $i,X6: $i,X8: $i,X10: mworld,X12: $i] :
( ~ ( do @ X4 @ ( '#sk7' @ X2 @ X4 @ X6 @ X8 ) @ X12 @ X10 )
| ( in @ X6 @ X8 @ X12 @ X10 )
| ~ ( mrel @ X2 @ X10 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( string @ X6 @ X2 )
| ~ ( entry_box @ X8 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i,X2: $i,X3: mworld,X4: $i,X5: $i] :
( ~ ( userid @ u @ X5 @ ( '#sk5' @ X5 @ X4 ) )
| ~ ( entry_box @ X4 @ ( '#sk5' @ X5 @ X4 ) )
| ~ ( number @ X4 @ one @ ( '#sk5' @ X5 @ X4 ) )
| ~ ( entry_box @ X1 @ X3 )
| ~ ( string @ X2 @ X3 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X3 @ ( '#sk4' @ X5 @ X4 @ ( '#sk7' @ X3 @ X0 @ X2 @ X1 ) @ X0 ) )
| ( in @ X2 @ X1 @ ( '#sk6' @ X5 @ X4 @ ( '#sk7' @ X3 @ X0 @ X2 @ X1 ) @ X0 ) @ ( '#sk4' @ X5 @ X4 @ ( '#sk7' @ X3 @ X0 @ X2 @ X1 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl61]) ).
thf(zip_derived_cl47,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( number @ X4 @ one @ ( '#sk5' @ X2 @ X4 ) )
& ( entry_box @ X4 @ ( '#sk5' @ X2 @ X4 ) )
& ( userid @ u @ X2 @ ( '#sk5' @ X2 @ X4 ) ) )
| ~ ( in @ X2 @ X4 @ ( '#sk6' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl49,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( number @ X4 @ one @ ( '#sk5' @ X2 @ X4 ) )
| ~ ( entry_box @ X4 @ ( '#sk5' @ X2 @ X4 ) )
| ~ ( userid @ u @ X2 @ ( '#sk5' @ X2 @ X4 ) )
| ~ ( in @ X2 @ X4 @ ( '#sk6' @ X2 @ X4 @ X6 @ X8 ) @ ( '#sk4' @ X2 @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl222,plain,
! [X0: $i,X1: $i,X2: $i,X3: mworld] :
( ~ ( mrel @ X3 @ ( '#sk4' @ X2 @ X1 @ ( '#sk7' @ X3 @ X0 @ X2 @ X1 ) @ X0 ) )
| ~ ( mrel @ mactual @ X3 )
| ~ ( string @ X2 @ X3 )
| ~ ( entry_box @ X1 @ X3 )
| ~ ( number @ X1 @ one @ ( '#sk5' @ X2 @ X1 ) )
| ~ ( entry_box @ X1 @ ( '#sk5' @ X2 @ X1 ) )
| ~ ( userid @ u @ X2 @ ( '#sk5' @ X2 @ X1 ) )
| ~ ( userid @ u @ X2 @ ( '#sk5' @ X2 @ X1 ) )
| ~ ( entry_box @ X1 @ ( '#sk5' @ X2 @ X1 ) )
| ~ ( number @ X1 @ one @ ( '#sk5' @ X2 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl49]) ).
thf(zip_derived_cl228,plain,
! [X0: $i,X1: $i,X2: $i,X3: mworld] :
( ~ ( userid @ u @ X2 @ ( '#sk5' @ X2 @ X1 ) )
| ~ ( entry_box @ X1 @ ( '#sk5' @ X2 @ X1 ) )
| ~ ( number @ X1 @ one @ ( '#sk5' @ X2 @ X1 ) )
| ~ ( entry_box @ X1 @ X3 )
| ~ ( string @ X2 @ X3 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X3 @ ( '#sk4' @ X2 @ X1 @ ( '#sk7' @ X3 @ X0 @ X2 @ X1 ) @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl236,plain,
( ~ ( mrel @ mactual @ '#sk3' )
| ~ ( string @ ( '#sk2' @ '#sk3' ) @ '#sk3' )
| ~ ( entry_box @ '#sk1' @ '#sk3' )
| ~ ( number @ '#sk1' @ one @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( entry_box @ '#sk1' @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( userid @ u @ ( '#sk2' @ '#sk3' ) @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl228]) ).
thf(zip_derived_cl25_011,plain,
mrel @ mactual @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl248,plain,
( ~ ( string @ ( '#sk2' @ '#sk3' ) @ '#sk3' )
| ~ ( entry_box @ '#sk1' @ '#sk3' )
| ~ ( number @ '#sk1' @ one @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( entry_box @ '#sk1' @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( userid @ u @ ( '#sk2' @ '#sk3' ) @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl25]) ).
thf(zip_derived_cl256,plain,
( ~ ( mrel @ mactual @ '#sk3' )
| ~ ( userid @ u @ ( '#sk2' @ '#sk3' ) @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( entry_box @ '#sk1' @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( number @ '#sk1' @ one @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( string @ ( '#sk2' @ '#sk3' ) @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl248]) ).
thf(zip_derived_cl25_012,plain,
mrel @ mactual @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl258,plain,
( ~ ( userid @ u @ ( '#sk2' @ '#sk3' ) @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( entry_box @ '#sk1' @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( number @ '#sk1' @ one @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( string @ ( '#sk2' @ '#sk3' ) @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl25]) ).
thf(zip_derived_cl260,plain,
( ~ ( mrel @ '#sk3' @ '#sk3' )
| ~ ( mrel @ mactual @ '#sk3' )
| ~ ( number @ '#sk1' @ one @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( entry_box @ '#sk1' @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( userid @ u @ ( '#sk2' @ '#sk3' ) @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl258]) ).
thf(zip_derived_cl6_013,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl25_014,plain,
mrel @ mactual @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl262,plain,
( ~ ( number @ '#sk1' @ one @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( entry_box @ '#sk1' @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( userid @ u @ ( '#sk2' @ '#sk3' ) @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl6,zip_derived_cl25]) ).
thf(zip_derived_cl264,plain,
( ~ ( mrel @ mactual @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( userid @ u @ ( '#sk2' @ '#sk3' ) @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( number @ '#sk1' @ one @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl262]) ).
thf(zip_derived_cl25_015,plain,
mrel @ mactual @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl196_016,plain,
mrel @ '#sk3' @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ),
inference(simplify,[status(thm)],[zip_derived_cl192]) ).
thf(zip_derived_cl11_017,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ X4 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ( mrel @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl201,plain,
! [X0: mworld] :
( ( mrel @ X0 @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( mrel @ X0 @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl11]) ).
thf(zip_derived_cl11_018,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ X4 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ( mrel @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl207,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ X0 @ '#sk3' )
| ( mrel @ X1 @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( mrel @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl201,zip_derived_cl11]) ).
thf(zip_derived_cl212,plain,
! [X0: mworld] :
( ~ ( mrel @ X0 @ mactual )
| ( mrel @ X0 @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl207]) ).
thf(zip_derived_cl6_019,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl216,plain,
mrel @ mactual @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ),
inference('sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl6]) ).
thf(zip_derived_cl266,plain,
( ~ ( userid @ u @ ( '#sk2' @ '#sk3' ) @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( number @ '#sk1' @ one @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl264,zip_derived_cl216]) ).
thf(zip_derived_cl268,plain,
( ~ ( mrel @ mactual @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( userid @ u @ ( '#sk2' @ '#sk3' ) @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl266]) ).
thf(zip_derived_cl216_020,plain,
mrel @ mactual @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ),
inference('sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl6]) ).
thf(zip_derived_cl270,plain,
~ ( userid @ u @ ( '#sk2' @ '#sk3' ) @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl268,zip_derived_cl216]) ).
thf(zip_derived_cl272,plain,
( ~ ( mrel @ '#sk3' @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ) )
| ~ ( mrel @ mactual @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl270]) ).
thf(zip_derived_cl196_021,plain,
mrel @ '#sk3' @ ( '#sk5' @ ( '#sk2' @ '#sk3' ) @ '#sk1' ),
inference(simplify,[status(thm)],[zip_derived_cl192]) ).
thf(zip_derived_cl25_022,plain,
mrel @ mactual @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl274,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl196,zip_derived_cl25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NLP266^4 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZnvP2yRa8m true
% 0.13/0.34 % Computer : n027.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 : Thu Aug 24 13:42:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.20/0.67 % Total configuration time : 828
% 0.20/0.67 % Estimated wc time : 1656
% 0.20/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 2.24/0.95 % Solved by lams/20_acsne_simpl.sh.
% 2.24/0.95 % done 112 iterations in 0.125s
% 2.24/0.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.24/0.95 % SZS output start Refutation
% See solution above
% 2.24/0.95
% 2.24/0.95
% 2.24/0.95 % Terminating...
% 2.89/1.07 % Runner terminated.
% 2.89/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------