TSTP Solution File: SYO903^10 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO903^10 : 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.TKHFkMWs53 true
% Computer : n016.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 05:53:15 EDT 2023
% Result : Theorem 3.58s 1.53s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 46
% Syntax : Number of formulae : 249 ( 41 unt; 11 typ; 0 def)
% Number of atoms : 1638 ( 12 equ; 94 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 3813 ( 568 ~; 699 |; 0 &;2108 @)
% ( 0 <=>; 261 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 10 usr; 4 con; 0-3 aty)
% ( 177 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 491 ( 201 ^; 290 !; 0 ?; 491 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mor_type,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(v1_type,type,
v1: mworld > $o ).
thf(mnot_type,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(v2_type,type,
v2: mworld > $o ).
thf(v3_type,type,
v3: mworld > $o ).
thf(v4_type,type,
v4: mworld > $o ).
thf(mbox_def,axiom,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ) ).
thf('0',plain,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).
thf('1',plain,
( mbox
= ( ^ [V_1: mworld > $o,V_2: mworld] :
! [X4: mworld] :
( ( mrel @ V_2 @ X4 )
=> ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mor_def,axiom,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ) ).
thf('2',plain,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor_def]) ).
thf('3',plain,
( mor
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ) ).
thf('4',plain,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot_def]) ).
thf('5',plain,
( mnot
= ( ^ [V_1: mworld > $o,V_2: mworld] :
~ ( V_1 @ V_2 ) ) ),
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(persat40,axiom,
mlocal @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
( ! [X8: mworld] :
( ( mrel @ mactual @ X8 )
=> ! [X10: mworld] :
( ( mrel @ X8 @ X10 )
=> ( v4 @ X10 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: mworld] :
( ( mrel @ X4 @ X6 )
=> ( v1 @ X6 ) ) )
| ~ ( v3 @ mactual )
| ~ ( v2 @ mactual ) ) ).
thf(zip_derived_cl41,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ( (~) @ ( v3 @ mactual ) )
| ( (~) @ ( v2 @ mactual ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl294,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ~ ( v3 @ mactual )
| ~ ( v2 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl295,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) ) ) )
| ~ ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl294]) ).
thf(zip_derived_cl296,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ~ ( v3 @ mactual )
| ~ ( v2 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl295]) ).
thf(zip_derived_cl297,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( v4 @ X4 ) )
| ~ ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl296]) ).
thf(zip_derived_cl298,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ~ ( v3 @ mactual )
| ~ ( v2 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl297]) ).
thf(zip_derived_cl299,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X6 @ Y0 )
=> ( v1 @ Y0 ) ) ) )
| ~ ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl298]) ).
thf(zip_derived_cl300,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X6 @ Y0 )
=> ( v1 @ Y0 ) ) )
| ~ ( mrel @ X2 @ X4 )
| ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v3 @ mactual )
| ~ ( v2 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl299]) ).
thf(zip_derived_cl301,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ( ( mrel @ X6 @ X8 )
=> ( v1 @ X8 ) )
| ~ ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl300]) ).
thf(zip_derived_cl302,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ~ ( mrel @ X6 @ X8 )
| ( v1 @ X8 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v3 @ mactual )
| ~ ( v2 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl301]) ).
thf(persat18,axiom,
mlocal @ ( mor @ v2 @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ~ ( v1 @ X8 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ~ ( v1 @ X4 ) )
| ~ ( v3 @ mactual )
| ( v2 @ mactual ) ) ).
thf(zip_derived_cl19,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( (~) @ ( v3 @ mactual ) )
| ( v2 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl162,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( v3 @ mactual )
| ( v2 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl163,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) ) )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl164,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( v3 @ mactual )
| ( v2 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl163]) ).
thf(zip_derived_cl165,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( (~) @ ( v1 @ X4 ) ) )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl164]) ).
thf(zip_derived_cl166,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( v3 @ mactual )
| ( v2 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl165]) ).
thf(zip_derived_cl167,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( (~) @ ( v1 @ X6 ) ) )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl166]) ).
thf(zip_derived_cl168,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ~ ( v1 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v3 @ mactual )
| ( v2 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl167]) ).
thf(zip_derived_cl767,plain,
! [X0: mworld] :
( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ~ ( v1 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl168]) ).
thf(zip_derived_cl768,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 )
| ~ ( mrel @ mactual @ mactual )
| ~ ( v3 @ mactual )
| ( v2 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl767]) ).
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_cl54,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl773,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 )
| ~ ( v3 @ mactual )
| ( v2 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl768,zip_derived_cl54]) ).
thf(zip_derived_cl54_001,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl785,plain,
( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference('sup+',[status(thm)],[zip_derived_cl773,zip_derived_cl54]) ).
thf(persat2,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v2 @ ( mor @ ( mnot @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ) ).
thf(zf_stmt_2,axiom,
( ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: mworld] :
( ( mrel @ X4 @ X6 )
=> ~ ( v3 @ X6 ) ) )
| ~ ( v3 @ mactual )
| ( v2 @ mactual )
| ( v1 @ mactual ) ) ).
thf(zip_derived_cl3,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v3 @ Y1 ) ) ) ) ) )
| ( (~) @ ( v3 @ mactual ) )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl71,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v3 @ Y1 ) ) ) ) ) )
| ~ ( v3 @ mactual )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl72,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) ) )
| ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl73,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ~ ( v3 @ mactual )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl74,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( (~) @ ( v3 @ X4 ) ) )
| ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl75,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ~ ( v3 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v3 @ mactual )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl542,plain,
( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ~ ( v3 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl543,plain,
( ~ ( mrel @ mactual @ mactual )
| ~ ( v3 @ mactual )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl542]) ).
thf(zip_derived_cl54_002,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl547,plain,
( ~ ( v3 @ mactual )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl543,zip_derived_cl54]) ).
thf(zip_derived_cl806,plain,
( ~ ( v3 @ mactual )
| ( v2 @ mactual ) ),
inference(clc,[status(thm)],[zip_derived_cl785,zip_derived_cl547]) ).
thf(zip_derived_cl1213,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( mrel @ mactual @ X6 )
| ( v1 @ X8 )
| ~ ( mrel @ X6 @ X8 ) ),
inference(clc,[status(thm)],[zip_derived_cl302,zip_derived_cl806]) ).
thf(zip_derived_cl1218,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ X1 @ X0 )
| ( v1 @ X0 )
| ~ ( mrel @ mactual @ X1 )
| ~ ( mrel @ mactual @ mactual )
| ( v4 @ mactual )
| ~ ( v3 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1213]) ).
thf(zip_derived_cl54_003,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl1224,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ X1 @ X0 )
| ( v1 @ X0 )
| ~ ( mrel @ mactual @ X1 )
| ( v4 @ mactual )
| ~ ( v3 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl1218,zip_derived_cl54]) ).
thf(zip_derived_cl54_004,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(persat34,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mbox @ ( mnot @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ) ).
thf(zf_stmt_3,axiom,
( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ~ ( v1 @ X8 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ~ ( v4 @ X4 ) )
| ~ ( v2 @ mactual )
| ~ ( v1 @ mactual ) ) ).
thf(zip_derived_cl35,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) )
| ( (~) @ ( v2 @ mactual ) )
| ( (~) @ ( v1 @ mactual ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl206,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) )
| ~ ( v2 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl207,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) ) )
| ~ ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl206]) ).
thf(zip_derived_cl208,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) )
| ~ ( v2 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl207]) ).
thf(zip_derived_cl209,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( (~) @ ( v1 @ X4 ) ) )
| ~ ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl210,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) )
| ~ ( v2 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl209]) ).
thf(zip_derived_cl211,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( (~) @ ( v4 @ X6 ) ) )
| ~ ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl212,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ~ ( v4 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v2 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl917,plain,
! [X0: mworld] :
( ~ ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ~ ( v1 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v4 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl54_005,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl922,plain,
! [X0: mworld] :
( ~ ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ~ ( v1 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v4 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl917,zip_derived_cl54]) ).
thf(zip_derived_cl953,plain,
( ~ ( v4 @ mactual )
| ~ ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ~ ( v1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl922]) ).
thf(zip_derived_cl958,plain,
( ~ ( v2 @ mactual )
| ~ ( v1 @ mactual )
| ~ ( v4 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl953]) ).
thf(persat7,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mnot @ v4 ) @ ( mbox @ ( mbox @ ( mnot @ v2 ) ) ) ) ) ) ).
thf(zf_stmt_4,axiom,
( ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: mworld] :
( ( mrel @ X4 @ X6 )
=> ~ ( v2 @ X6 ) ) )
| ~ ( v4 @ mactual )
| ~ ( v2 @ mactual )
| ( v1 @ mactual ) ) ).
thf(zip_derived_cl8,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v2 @ Y1 ) ) ) ) ) )
| ( (~) @ ( v4 @ mactual ) )
| ( (~) @ ( v2 @ mactual ) )
| ( v1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl94,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v2 @ Y1 ) ) ) ) ) )
| ~ ( v4 @ mactual )
| ~ ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl95,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v2 @ Y0 ) ) ) ) )
| ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ~ ( v4 @ mactual ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl96,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v2 @ Y0 ) ) ) )
| ~ ( v4 @ mactual )
| ~ ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl97,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( (~) @ ( v2 @ X4 ) ) )
| ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl98,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ~ ( v2 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v4 @ mactual )
| ~ ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl97]) ).
thf(zip_derived_cl515,plain,
( ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ~ ( v2 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl516,plain,
( ~ ( mrel @ mactual @ mactual )
| ~ ( v4 @ mactual )
| ~ ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl515]) ).
thf(zip_derived_cl54_006,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl520,plain,
( ~ ( v4 @ mactual )
| ~ ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl54]) ).
thf(zip_derived_cl962,plain,
( ~ ( v4 @ mactual )
| ~ ( v2 @ mactual ) ),
inference(clc,[status(thm)],[zip_derived_cl958,zip_derived_cl520]) ).
thf(persat26,axiom,
mlocal @ ( mor @ v3 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ) ).
thf(zf_stmt_5,axiom,
( ! [X8: mworld] :
( ( mrel @ mactual @ X8 )
=> ! [X10: mworld] :
( ( mrel @ X8 @ X10 )
=> ~ ( v4 @ X10 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: mworld] :
( ( mrel @ X4 @ X6 )
=> ( v3 @ X6 ) ) )
| ~ ( v4 @ mactual )
| ( v3 @ mactual ) ) ).
thf(zip_derived_cl27,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v4 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( (~) @ ( v4 @ mactual ) )
| ( v3 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl276,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v4 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl277,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) ) )
| ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl276]) ).
thf(zip_derived_cl278,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl277]) ).
thf(zip_derived_cl279,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( (~) @ ( v4 @ X4 ) ) )
| ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl278]) ).
thf(zip_derived_cl280,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ~ ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl279]) ).
thf(zip_derived_cl281,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X6 @ Y0 )
=> ( v3 @ Y0 ) ) ) )
| ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl280]) ).
thf(zip_derived_cl282,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X6 @ Y0 )
=> ( v3 @ Y0 ) ) )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl281]) ).
thf(zip_derived_cl283,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ( ( mrel @ X6 @ X8 )
=> ( v3 @ X8 ) )
| ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl282]) ).
thf(zip_derived_cl284,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ~ ( mrel @ X6 @ X8 )
| ( v3 @ X8 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl283]) ).
thf(zip_derived_cl1156,plain,
! [X0: mworld,X1: mworld] :
( ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v4 @ X1 )
| ~ ( mrel @ X0 @ X1 )
| ~ ( mrel @ mactual @ mactual )
| ( v3 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl284]) ).
thf(zip_derived_cl1158,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ mactual @ mactual )
| ~ ( mrel @ X0 @ X1 )
| ~ ( v4 @ X1 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl1156]) ).
thf(zip_derived_cl54_007,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl1164,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ X0 @ X1 )
| ~ ( v4 @ X1 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl1158,zip_derived_cl54]) ).
thf(zip_derived_cl1597,plain,
( ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ~ ( v4 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1164]) ).
thf(zip_derived_cl1598,plain,
( ~ ( mrel @ mactual @ mactual )
| ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl1597]) ).
thf(zip_derived_cl54_008,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl1599,plain,
( ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl1598,zip_derived_cl54]) ).
thf(persat22,axiom,
mlocal @ ( mor @ v3 @ ( mor @ v4 @ ( mor @ ( mbox @ v2 ) @ ( mbox @ ( mbox @ v1 ) ) ) ) ) ).
thf(zf_stmt_6,axiom,
( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ( v1 @ X8 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ( v2 @ X4 ) )
| ( v4 @ mactual )
| ( v3 @ mactual ) ) ).
thf(zip_derived_cl23,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v2 @ Y0 ) ) )
| ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl99,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v2 @ Y0 ) ) )
| ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl100,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v1 @ Y0 ) ) ) )
| ( v3 @ mactual )
| ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl101,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v1 @ Y0 ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v2 @ Y0 ) ) )
| ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl102,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( v1 @ X4 ) )
| ( v3 @ mactual )
| ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v2 @ Y0 ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl103,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v2 @ Y0 ) ) )
| ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl104,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( v2 @ X6 ) )
| ( v3 @ mactual )
| ( v4 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v1 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl105,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ( v2 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl586,plain,
! [X0: mworld] :
( ( v3 @ mactual )
| ( v4 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ( v1 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ( v2 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl54_009,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl591,plain,
! [X0: mworld] :
( ( v3 @ mactual )
| ( v4 @ mactual )
| ( v1 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ( v2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl54]) ).
thf(persat30,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ v1 ) @ ( mbox @ ( mbox @ v2 ) ) ) ) ) ).
thf(zf_stmt_7,axiom,
( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ( v2 @ X8 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ( v1 @ X4 ) )
| ~ ( v3 @ mactual )
| ( v4 @ mactual ) ) ).
thf(zip_derived_cl31,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v2 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) )
| ( (~) @ ( v3 @ mactual ) )
| ( v4 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl113,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v2 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) )
| ~ ( v3 @ mactual )
| ( v4 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl114,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v2 @ Y0 ) ) ) )
| ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl115,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v2 @ Y0 ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) )
| ~ ( v3 @ mactual )
| ( v4 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl116,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( v2 @ X4 ) )
| ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl117,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ( v2 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) )
| ~ ( v3 @ mactual )
| ( v4 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl118,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( v1 @ X6 ) )
| ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v2 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl119,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ( v1 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ( v2 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v3 @ mactual )
| ( v4 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl624,plain,
! [X0: mworld] :
( ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ( v2 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ( v1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl119]) ).
thf(zip_derived_cl54_010,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl629,plain,
! [X0: mworld] :
( ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ( v2 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ( v1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl624,zip_derived_cl54]) ).
thf(zip_derived_cl1333,plain,
! [X0: mworld] :
( ( v2 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ( v1 @ X0 )
| ( v4 @ mactual ) ),
inference(clc,[status(thm)],[zip_derived_cl591,zip_derived_cl629]) ).
thf(zip_derived_cl54_011,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl1335,plain,
( ( v4 @ mactual )
| ( v1 @ mactual )
| ( v2 @ mactual ) ),
inference('sup+',[status(thm)],[zip_derived_cl1333,zip_derived_cl54]) ).
thf(zip_derived_cl54_012,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(persat35,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mnot @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ) ).
thf(zf_stmt_8,axiom,
( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ( v4 @ X8 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ~ ( v3 @ X4 ) )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ) ).
thf(zip_derived_cl36,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ( (~) @ ( v3 @ mactual ) )
| ( (~) @ ( v1 @ mactual ) ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl185,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl186,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) ) ) )
| ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl187,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl188,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( v4 @ X4 ) )
| ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl187]) ).
thf(zip_derived_cl189,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl190,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( (~) @ ( v3 @ X6 ) ) )
| ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl189]) ).
thf(zip_derived_cl191,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ~ ( v3 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl844,plain,
! [X0: mworld] :
( ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ( v4 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v3 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl54_013,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl849,plain,
! [X0: mworld] :
( ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ( v4 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v3 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl844,zip_derived_cl54]) ).
thf(zip_derived_cl1134,plain,
( ~ ( v3 @ mactual )
| ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl849]) ).
thf(zip_derived_cl1139,plain,
( ~ ( v1 @ mactual )
| ( v4 @ mactual )
| ~ ( v3 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl1134]) ).
thf(persat29,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ v3 ) ) ) ) ) ).
thf(zf_stmt_9,axiom,
( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ( v3 @ X8 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ~ ( v1 @ X4 ) )
| ~ ( v1 @ mactual )
| ( v4 @ mactual ) ) ).
thf(zip_derived_cl30,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( (~) @ ( v1 @ mactual ) )
| ( v4 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl148,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( v1 @ mactual )
| ( v4 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl149,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v3 @ Y0 ) ) ) )
| ( v4 @ mactual )
| ~ ( v1 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl150,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v3 @ Y0 ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( v1 @ mactual )
| ( v4 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl149]) ).
thf(zip_derived_cl151,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( v3 @ X4 ) )
| ( v4 @ mactual )
| ~ ( v1 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl150]) ).
thf(zip_derived_cl152,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ( v3 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( v1 @ mactual )
| ( v4 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl153,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( (~) @ ( v1 @ X6 ) ) )
| ( v4 @ mactual )
| ~ ( v1 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v3 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl154,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ~ ( v1 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ( v3 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v1 @ mactual )
| ( v4 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl153]) ).
thf(persat6,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v4 @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ) ).
thf(zf_stmt_10,axiom,
( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ~ ( v1 @ X8 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ~ ( v1 @ X4 ) )
| ( v4 @ mactual )
| ( v1 @ mactual ) ) ).
thf(zip_derived_cl7,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( v4 @ mactual )
| ( v1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl120,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( v4 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl121,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) ) )
| ( v1 @ mactual )
| ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl122,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( v4 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl123,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( (~) @ ( v1 @ X4 ) ) )
| ( v1 @ mactual )
| ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl124,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( v4 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl123]) ).
thf(zip_derived_cl125,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( (~) @ ( v1 @ X6 ) ) )
| ( v1 @ mactual )
| ( v4 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl124]) ).
thf(zip_derived_cl126,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ~ ( v1 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( v4 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl125]) ).
thf(zip_derived_cl643,plain,
! [X0: mworld] :
( ( v1 @ mactual )
| ( v4 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ~ ( v1 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl126]) ).
thf(zip_derived_cl644,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 )
| ~ ( mrel @ mactual @ mactual )
| ( v4 @ mactual )
| ( v1 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl643]) ).
thf(zip_derived_cl54_014,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl649,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 )
| ( v4 @ mactual )
| ( v1 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl644,zip_derived_cl54]) ).
thf(zip_derived_cl729,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( v4 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v3 @ X4 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X6 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(clc,[status(thm)],[zip_derived_cl154,zip_derived_cl649]) ).
thf(zip_derived_cl733,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 )
| ~ ( mrel @ mactual @ mactual )
| ( v3 @ mactual )
| ( v4 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl729]) ).
thf(zip_derived_cl54_015,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl738,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 )
| ( v3 @ mactual )
| ( v4 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl733,zip_derived_cl54]) ).
thf(zip_derived_cl54_016,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl777,plain,
( ( v4 @ mactual )
| ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference('sup+',[status(thm)],[zip_derived_cl738,zip_derived_cl54]) ).
thf(zip_derived_cl1143,plain,
( ( v4 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(clc,[status(thm)],[zip_derived_cl1139,zip_derived_cl777]) ).
thf(zip_derived_cl1402,plain,
( ( v2 @ mactual )
| ( v4 @ mactual ) ),
inference(clc,[status(thm)],[zip_derived_cl1335,zip_derived_cl1143]) ).
thf(zip_derived_cl1601,plain,
( ( v3 @ mactual )
| ( v2 @ mactual ) ),
inference('sup+',[status(thm)],[zip_derived_cl1599,zip_derived_cl1402]) ).
thf(zip_derived_cl806_017,plain,
( ~ ( v3 @ mactual )
| ( v2 @ mactual ) ),
inference(clc,[status(thm)],[zip_derived_cl785,zip_derived_cl547]) ).
thf(zip_derived_cl1663,plain,
v2 @ mactual,
inference(clc,[status(thm)],[zip_derived_cl1601,zip_derived_cl806]) ).
thf(zip_derived_cl1665,plain,
~ ( v4 @ mactual ),
inference(demod,[status(thm)],[zip_derived_cl962,zip_derived_cl1663]) ).
thf(persat5,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v3 @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ) ).
thf(zf_stmt_11,axiom,
( ! [X8: mworld] :
( ( mrel @ mactual @ X8 )
=> ! [X10: mworld] :
( ( mrel @ X8 @ X10 )
=> ( v4 @ X10 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: mworld] :
( ( mrel @ X4 @ X6 )
=> ( v3 @ X6 ) ) )
| ( v3 @ mactual )
| ( v1 @ mactual ) ) ).
thf(zip_derived_cl6,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl176,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl177,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) ) ) )
| ( v1 @ mactual )
| ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl176]) ).
thf(zip_derived_cl178,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl177]) ).
thf(zip_derived_cl179,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( v4 @ X4 ) )
| ( v1 @ mactual )
| ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl178]) ).
thf(zip_derived_cl180,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl179]) ).
thf(zip_derived_cl181,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X6 @ Y0 )
=> ( v3 @ Y0 ) ) ) )
| ( v1 @ mactual )
| ( v3 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl182,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X6 @ Y0 )
=> ( v3 @ Y0 ) ) )
| ~ ( mrel @ X2 @ X4 )
| ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl183,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ( ( mrel @ X6 @ X8 )
=> ( v3 @ X8 ) )
| ( v1 @ mactual )
| ( v3 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl184,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ~ ( mrel @ X6 @ X8 )
| ( v3 @ X8 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl183]) ).
thf(zip_derived_cl822,plain,
! [X0: mworld,X1: mworld] :
( ( v1 @ mactual )
| ( v3 @ mactual )
| ~ ( mrel @ mactual @ X1 )
| ( v4 @ X0 )
| ~ ( mrel @ X1 @ X0 )
| ~ ( mrel @ mactual @ X1 )
| ( v3 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl824,plain,
! [X0: mworld,X1: mworld] :
( ( v3 @ X0 )
| ~ ( mrel @ X1 @ X0 )
| ( v4 @ X0 )
| ~ ( mrel @ mactual @ X1 )
| ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl822]) ).
thf(zip_derived_cl1599_018,plain,
( ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl1598,zip_derived_cl54]) ).
thf(zip_derived_cl1143_019,plain,
( ( v4 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(clc,[status(thm)],[zip_derived_cl1139,zip_derived_cl777]) ).
thf(zip_derived_cl1603,plain,
( ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference('sup+',[status(thm)],[zip_derived_cl1599,zip_derived_cl1143]) ).
thf(persat36,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ) ).
thf(zf_stmt_12,axiom,
( ! [X8: mworld] :
( ( mrel @ mactual @ X8 )
=> ! [X10: mworld] :
( ( mrel @ X8 @ X10 )
=> ~ ( v3 @ X10 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: mworld] :
( ( mrel @ X4 @ X6 )
=> ~ ( v1 @ X6 ) ) )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ) ).
thf(zip_derived_cl37,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v3 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( (~) @ ( v3 @ mactual ) )
| ( (~) @ ( v1 @ mactual ) ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl321,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v3 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl322,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) ) )
| ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl321]) ).
thf(zip_derived_cl323,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl322]) ).
thf(zip_derived_cl324,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( (~) @ ( v3 @ X4 ) ) )
| ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl323]) ).
thf(zip_derived_cl325,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ~ ( v3 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl324]) ).
thf(zip_derived_cl326,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X6 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) ) )
| ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v3 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl325]) ).
thf(zip_derived_cl327,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X6 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v3 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl326]) ).
thf(zip_derived_cl328,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ( ( mrel @ X6 @ X8 )
=> ( (~) @ ( v1 @ X8 ) ) )
| ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v3 @ X4 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl327]) ).
thf(zip_derived_cl329,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ~ ( mrel @ X6 @ X8 )
| ~ ( v1 @ X8 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v3 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl328]) ).
thf(zip_derived_cl1297,plain,
! [X0: mworld,X1: mworld] :
( ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v3 @ X1 )
| ~ ( mrel @ X0 @ X1 )
| ~ ( mrel @ mactual @ mactual )
| ~ ( v1 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl329]) ).
thf(zip_derived_cl1299,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ mactual @ mactual )
| ~ ( mrel @ X0 @ X1 )
| ~ ( v3 @ X1 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl1297]) ).
thf(zip_derived_cl54_020,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl1305,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ X0 @ X1 )
| ~ ( v3 @ X1 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl1299,zip_derived_cl54]) ).
thf(zip_derived_cl1344,plain,
( ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ~ ( v3 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1305]) ).
thf(zip_derived_cl1345,plain,
( ~ ( mrel @ mactual @ mactual )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl1344]) ).
thf(zip_derived_cl54_021,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl1349,plain,
( ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl1345,zip_derived_cl54]) ).
thf(zip_derived_cl1621,plain,
~ ( v1 @ mactual ),
inference(clc,[status(thm)],[zip_derived_cl1603,zip_derived_cl1349]) ).
thf(zip_derived_cl1796,plain,
! [X0: mworld,X1: mworld] :
( ( v3 @ X0 )
| ~ ( mrel @ X1 @ X0 )
| ( v4 @ X0 )
| ~ ( mrel @ mactual @ X1 )
| ( v3 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl824,zip_derived_cl1621]) ).
thf(zip_derived_cl1799,plain,
( ( v3 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1796]) ).
thf(zip_derived_cl1800,plain,
( ( v4 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ( v3 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl1799]) ).
thf(zip_derived_cl1665_022,plain,
~ ( v4 @ mactual ),
inference(demod,[status(thm)],[zip_derived_cl962,zip_derived_cl1663]) ).
thf(zip_derived_cl54_023,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl1804,plain,
v3 @ mactual,
inference(demod,[status(thm)],[zip_derived_cl1800,zip_derived_cl1665,zip_derived_cl54]) ).
thf(zip_derived_cl1855,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ X1 @ X0 )
| ( v1 @ X0 )
| ~ ( mrel @ mactual @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1224,zip_derived_cl1665,zip_derived_cl1804]) ).
thf(zip_derived_cl1858,plain,
( ~ ( mrel @ mactual @ mactual )
| ( v1 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1855]) ).
thf(zip_derived_cl54_024,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl1621_025,plain,
~ ( v1 @ mactual ),
inference(clc,[status(thm)],[zip_derived_cl1603,zip_derived_cl1349]) ).
thf(zip_derived_cl1862,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1858,zip_derived_cl54,zip_derived_cl1621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO903^10 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TKHFkMWs53 true
% 0.19/0.35 % Computer : n016.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Sat Aug 26 01:02:11 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.35 % Running portfolio for 300 s
% 0.19/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in HO mode
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.52/0.82 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.52/0.83 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.89/1.00 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 3.18/1.33 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 3.58/1.53 % Solved by lams/30_sp5.sh.
% 3.58/1.53 % done 364 iterations in 0.692s
% 3.58/1.53 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.58/1.53 % SZS output start Refutation
% See solution above
% 3.58/1.53
% 3.58/1.53
% 3.58/1.53 % Terminating...
% 7.95/1.71 % Runner terminated.
% 7.95/1.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------