%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO903^10 : TPTP v9.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MWhqQ7suVm true
% Computer : n004.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 Oct 2 05:08:32 PM UTC 2025
% Result : Theorem 6.95s 1.51s
% Output : Refutation 6.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 39
% Syntax : Number of formulae : 285 ( 59 unt; 0 typ; 0 def)
% Number of atoms : 1931 ( 15 equ; 120 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 4466 ( 591 ~; 806 |; 3 &;2525 @)
% ( 0 <=>; 316 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 12 usr; 7 con; 0-3 aty)
% ( 224 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 637 ( 256 ^; 377 !; 4 ?; 637 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf('#sk1_type',type,
'#sk1': mworld ).
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(mdia_type,type,
mdia: ( mworld > $o ) > 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(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(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(persat34,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mbox @ ( mnot @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ) ).
thf(zf_stmt_0,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_0]) ).
thf(zip_derived_cl54_001,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
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_cl428,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_cl429,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_cl428]) ).
thf(zip_derived_cl430,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_cl429]) ).
thf(zip_derived_cl431,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_cl430]) ).
thf(zip_derived_cl432,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_cl431]) ).
thf(zip_derived_cl433,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_cl432]) ).
thf(zip_derived_cl434,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_cl433]) ).
thf(zip_derived_cl437,plain,
! [X0: mworld] :
( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ~ ( v1 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl434]) ).
thf(zip_derived_cl439,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 )
| ~ ( mrel @ mactual @ mactual )
| ~ ( v3 @ mactual )
| ( v2 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl437]) ).
thf(zip_derived_cl54_002,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl440,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 )
| ~ ( v3 @ mactual )
| ( v2 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl439,zip_derived_cl54]) ).
thf(zip_derived_cl449,plain,
( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( v1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl440]) ).
thf(zip_derived_cl54_003,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl54_004,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
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_cl86,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_cl87,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_cl86]) ).
thf(zip_derived_cl88,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_cl87]) ).
thf(zip_derived_cl89,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_cl88]) ).
thf(zip_derived_cl90,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_cl89]) ).
thf(zip_derived_cl91,plain,
! [X0: mworld] :
( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl90]) ).
thf(zip_derived_cl102,plain,
( ~ ( v3 @ mactual )
| ~ ( v3 @ mactual )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl91]) ).
thf(zip_derived_cl104,plain,
( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl451,plain,
( ~ ( v3 @ mactual )
| ( v2 @ mactual ) ),
inference(clc,[status(thm)],[zip_derived_cl449,zip_derived_cl104]) ).
thf(zip_derived_cl54_005,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl54_006,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(persat29,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ v3 ) ) ) ) ) ).
thf(zf_stmt_3,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_3]) ).
thf(zip_derived_cl720,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_cl721,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_cl720]) ).
thf(zip_derived_cl722,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_cl721]) ).
thf(zip_derived_cl723,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_cl722]) ).
thf(zip_derived_cl724,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_cl723]) ).
thf(zip_derived_cl725,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_cl724]) ).
thf(zip_derived_cl726,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_cl725]) ).
thf(zip_derived_cl54_007,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(persat12,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mbox @ v1 ) @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ) ).
thf(zf_stmt_4,axiom,
( ! [X8: mworld] :
( ( mrel @ mactual @ X8 )
=> ! [X10: mworld] :
( ( mrel @ X8 @ X10 )
=> ~ ( v1 @ X10 ) ) )
| ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ~ ( v1 @ X6 ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ( v1 @ X4 ) )
| ( v1 @ mactual ) ) ).
thf(zip_derived_cl13,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) )
| ( v1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl321,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) )
| ( v1 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl322,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) ) )
| ( v1 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl321]) ).
thf(zip_derived_cl323,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl322]) ).
thf(zip_derived_cl324,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( (~) @ ( v1 @ X4 ) ) )
| ( v1 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl323]) ).
thf(zip_derived_cl325,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) )
| ( 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 )
=> ( (~) @ ( v1 @ X6 ) ) )
| ( v1 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v1 @ 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 )
| ~ ( v1 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v1 @ Y0 ) ) )
| ( 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 @ mactual @ X8 )
=> ( v1 @ X8 ) )
| ( v1 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X6 )
| ~ ( 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 @ mactual @ X8 )
| ( v1 @ X8 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( v1 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl328]) ).
thf(zip_derived_cl330,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ( v1 @ mactual )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X1 )
| ~ ( mrel @ X0 @ X1 )
| ~ ( v1 @ X2 )
| ~ ( mrel @ mactual @ X2 )
| ( v1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl329]) ).
thf(zip_derived_cl335,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ~ ( v1 @ X2 )
| ~ ( mrel @ X0 @ X1 )
| ~ ( v1 @ X1 )
| ~ ( mrel @ mactual @ X0 )
| ( v1 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl330]) ).
thf(zip_derived_cl351,plain,
! [X0: mworld] :
( ( v1 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ~ ( v1 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl335]) ).
thf(zip_derived_cl353,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 )
| ~ ( mrel @ mactual @ mactual )
| ( v1 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl351]) ).
thf(zip_derived_cl54_008,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl354,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 )
| ( v1 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl54]) ).
thf(zip_derived_cl727,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_cl726,zip_derived_cl354]) ).
thf(zip_derived_cl730,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ X0 )
| ~ ( mrel @ X0 @ X1 )
| ( v3 @ X1 )
| ( v4 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl727]) ).
thf(zip_derived_cl745,plain,
! [X0: mworld] :
( ( v4 @ mactual )
| ( v3 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl730]) ).
thf(zip_derived_cl747,plain,
( ~ ( v1 @ mactual )
| ( v3 @ mactual )
| ( v4 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl745]) ).
thf(zip_derived_cl54_009,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl54_010,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(persat5,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v3 @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ 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 ) ) )
| ( 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_5]) ).
thf(zip_derived_cl153,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_cl154,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_cl153]) ).
thf(zip_derived_cl155,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_cl154]) ).
thf(zip_derived_cl156,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_cl155]) ).
thf(zip_derived_cl157,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_cl156]) ).
thf(zip_derived_cl158,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_cl157]) ).
thf(zip_derived_cl159,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_cl158]) ).
thf(zip_derived_cl160,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_cl159]) ).
thf(zip_derived_cl161,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_cl160]) ).
thf(zip_derived_cl164,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_cl161]) ).
thf(zip_derived_cl165,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_cl164]) ).
thf(zip_derived_cl175,plain,
! [X0: mworld] :
( ( v1 @ mactual )
| ( v3 @ mactual )
| ~ ( mrel @ mactual @ X0 )
| ( v4 @ X0 )
| ( v3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl165]) ).
thf(zip_derived_cl178,plain,
( ( v3 @ mactual )
| ( v4 @ mactual )
| ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl175]) ).
thf(zip_derived_cl180,plain,
( ( v1 @ mactual )
| ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl178]) ).
thf(mdia_def,axiom,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ W @ V ) ) ) ) ).
thf('8',plain,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_def]) ).
thf('9',plain,
( mdia
= ( ^ [V_1: mworld > $o,V_2: mworld] :
? [X4: mworld] :
( ( V_1 @ X4 )
& ( mrel @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(deontic1,axiom,
( mlocal
@ ( mdia
@ ^ [W: mworld] : $true ) ) ).
thf(zf_stmt_6,axiom,
? [X4: mworld] : ( mrel @ mactual @ X4 ) ).
thf(zip_derived_cl52,plain,
( ??
@ ^ [Y0: mworld] : ( mrel @ mactual @ Y0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl55,plain,
mrel @ mactual @ '#sk1',
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl54_011,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(persat8,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mbox @ ( mnot @ v3 ) ) @ ( mbox @ ( mbox @ v3 ) ) ) ) ) ).
thf(zf_stmt_7,axiom,
( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ( v3 @ X8 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ~ ( v3 @ X4 ) )
| ~ ( v2 @ mactual )
| ( v1 @ mactual ) ) ).
thf(zip_derived_cl9,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ( (~) @ ( v2 @ mactual ) )
| ( v1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl206,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ~ ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl207,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v3 @ Y0 ) ) ) )
| ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ 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 )
=> ( v3 @ Y0 ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ 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 )
=> ( v3 @ X4 ) )
| ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ 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 )
| ( v3 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ 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 )
=> ( (~) @ ( v3 @ X6 ) ) )
| ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v3 @ 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 )
| ~ ( v3 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ( v3 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl213,plain,
! [X0: mworld,X1: mworld] :
( ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ~ ( mrel @ mactual @ X0 )
| ( v3 @ X1 )
| ~ ( mrel @ X0 @ X1 )
| ~ ( v3 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl212]) ).
thf(zip_derived_cl104_012,plain,
( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl219,plain,
! [X0: mworld,X1: mworld] :
( ~ ( v3 @ mactual )
| ~ ( mrel @ X0 @ X1 )
| ( v3 @ X1 )
| ~ ( mrel @ mactual @ X0 )
| ( v1 @ mactual ) ),
inference(clc,[status(thm)],[zip_derived_cl213,zip_derived_cl104]) ).
thf(zip_derived_cl221,plain,
( ( v1 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ( v3 @ '#sk1' )
| ~ ( v3 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl219]) ).
thf(zip_derived_cl54_013,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl222,plain,
( ( v1 @ mactual )
| ( v3 @ '#sk1' )
| ~ ( v3 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl54]) ).
thf(zip_derived_cl223,plain,
( ( v4 @ mactual )
| ( v1 @ mactual )
| ( v3 @ '#sk1' )
| ( v1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl180,zip_derived_cl222]) ).
thf(zip_derived_cl225,plain,
( ( v3 @ '#sk1' )
| ( v1 @ mactual )
| ( v4 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl223]) ).
thf(zip_derived_cl54_014,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl54_015,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(persat26,axiom,
mlocal @ ( mor @ v3 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ) ).
thf(zf_stmt_8,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_8]) ).
thf(zip_derived_cl632,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_cl633,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_cl632]) ).
thf(zip_derived_cl634,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_cl633]) ).
thf(zip_derived_cl635,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_cl634]) ).
thf(zip_derived_cl636,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_cl635]) ).
thf(zip_derived_cl637,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_cl636]) ).
thf(zip_derived_cl638,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_cl637]) ).
thf(zip_derived_cl639,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_cl638]) ).
thf(zip_derived_cl640,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_cl639]) ).
thf(zip_derived_cl643,plain,
! [X0: mworld,X1: mworld] :
( ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ X1 )
| ~ ( v4 @ X0 )
| ~ ( mrel @ X1 @ X0 )
| ~ ( mrel @ mactual @ X1 )
| ( v3 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl640]) ).
thf(zip_derived_cl644,plain,
! [X0: mworld,X1: mworld] :
( ( v3 @ X0 )
| ~ ( mrel @ X1 @ X0 )
| ~ ( v4 @ X0 )
| ~ ( mrel @ mactual @ X1 )
| ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl643]) ).
thf(zip_derived_cl659,plain,
! [X0: mworld] :
( ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v4 @ X0 )
| ( v3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl644]) ).
thf(zip_derived_cl683,plain,
( ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl659]) ).
thf(zip_derived_cl685,plain,
( ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl683]) ).
thf(zip_derived_cl686,plain,
( ( v1 @ mactual )
| ( v3 @ '#sk1' )
| ( v3 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl685]) ).
thf(zip_derived_cl54_016,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl54_017,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl55_018,plain,
mrel @ mactual @ '#sk1',
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl212_019,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ~ ( v3 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ( v3 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl214,plain,
! [X0: mworld,X1: mworld] :
( ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ~ ( mrel @ mactual @ X0 )
| ( v3 @ X1 )
| ~ ( mrel @ X0 @ X1 )
| ~ ( v3 @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl212]) ).
thf(zip_derived_cl54_020,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl54_021,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl55_022,plain,
mrel @ mactual @ '#sk1',
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl52]) ).
thf(persat4,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v2 @ ( mor @ ( mbox @ ( mnot @ v3 ) ) @ ( mbox @ ( mbox @ v1 ) ) ) ) ) ).
thf(zf_stmt_9,axiom,
( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ( v1 @ X8 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ~ ( v3 @ X4 ) )
| ( v2 @ mactual )
| ( v1 @ mactual ) ) ).
thf(zip_derived_cl5,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl116,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl117,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v1 @ Y0 ) ) ) )
| ( v1 @ mactual )
| ( v2 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl118,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v1 @ Y0 ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl119,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( v1 @ X4 ) )
| ( v1 @ mactual )
| ( v2 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl120,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl119]) ).
thf(zip_derived_cl121,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( (~) @ ( v3 @ X6 ) ) )
| ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v1 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl122,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ~ ( v3 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl124,plain,
! [X0: mworld,X1: mworld] :
( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( mrel @ mactual @ X0 )
| ( v1 @ X1 )
| ~ ( mrel @ X0 @ X1 )
| ~ ( v3 @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl122]) ).
thf(zip_derived_cl128,plain,
! [X0: mworld] :
( ~ ( v3 @ '#sk1' )
| ~ ( mrel @ mactual @ X0 )
| ( v1 @ X0 )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl124]) ).
thf(zip_derived_cl130,plain,
( ( v1 @ mactual )
| ( v2 @ mactual )
| ( v1 @ mactual )
| ~ ( v3 @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl128]) ).
thf(zip_derived_cl132,plain,
( ~ ( v3 @ '#sk1' )
| ( v2 @ mactual )
| ( v1 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl231,plain,
! [X0: mworld,X1: mworld] :
( ~ ( v3 @ '#sk1' )
| ~ ( mrel @ X0 @ X1 )
| ( v3 @ X1 )
| ~ ( mrel @ mactual @ X0 )
| ( v1 @ mactual ) ),
inference(clc,[status(thm)],[zip_derived_cl214,zip_derived_cl132]) ).
thf(zip_derived_cl232,plain,
! [X0: mworld] :
( ( v1 @ mactual )
| ~ ( mrel @ mactual @ X0 )
| ( v3 @ X0 )
| ~ ( v3 @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl231]) ).
thf(zip_derived_cl255,plain,
( ~ ( v3 @ '#sk1' )
| ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl232]) ).
thf(zip_derived_cl687,plain,
( ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference(clc,[status(thm)],[zip_derived_cl686,zip_derived_cl255]) ).
thf(zip_derived_cl759,plain,
( ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(clc,[status(thm)],[zip_derived_cl747,zip_derived_cl687]) ).
thf(zip_derived_cl685_023,plain,
( ~ ( v4 @ mactual )
| ( v3 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl683]) ).
thf(zip_derived_cl760,plain,
v3 @ mactual,
inference(clc,[status(thm)],[zip_derived_cl759,zip_derived_cl685]) ).
thf(zip_derived_cl764,plain,
v2 @ mactual,
inference(demod,[status(thm)],[zip_derived_cl451,zip_derived_cl760]) ).
thf(persat31,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ) ).
thf(zf_stmt_10,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 )
| ( v4 @ mactual ) ) ).
thf(zip_derived_cl32,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 ) )
| ( v4 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl760_024,plain,
v3 @ mactual,
inference(clc,[status(thm)],[zip_derived_cl759,zip_derived_cl685]) ).
thf(zip_derived_cl775,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 ) ) ) ) )
| ( (~) @ $true )
| ( v4 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl760]) ).
thf(zip_derived_cl776,plain,
( ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl775]) ).
thf(zip_derived_cl777,plain,
( ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl776]) ).
thf(zip_derived_cl778,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 ) ) ) ) )
| ( v4 @ mactual ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl777]) ).
thf(zip_derived_cl779,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) ) )
| ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl778]) ).
thf(zip_derived_cl780,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( v4 @ X4 ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ( v4 @ mactual )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl779]) ).
thf(zip_derived_cl781,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl780]) ).
thf(zip_derived_cl782,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X6 @ Y0 )
=> ( v1 @ Y0 ) ) ) )
| ( v4 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl781]) ).
thf(zip_derived_cl783,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 )
| ( v4 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl782]) ).
thf(zip_derived_cl784,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ( ( mrel @ X6 @ X8 )
=> ( v1 @ X8 ) )
| ( v4 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl783]) ).
thf(zip_derived_cl785,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 )
| ( v4 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl784]) ).
thf(zip_derived_cl789,plain,
! [X0: mworld,X1: mworld] :
( ( v4 @ mactual )
| ~ ( mrel @ mactual @ X1 )
| ( v4 @ X0 )
| ~ ( mrel @ X1 @ X0 )
| ~ ( mrel @ mactual @ X1 )
| ( v1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl785]) ).
thf(zip_derived_cl791,plain,
! [X0: mworld,X1: mworld] :
( ( v1 @ X0 )
| ~ ( mrel @ X1 @ X0 )
| ( v4 @ X0 )
| ~ ( mrel @ mactual @ X1 )
| ( v4 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl789]) ).
thf(zip_derived_cl829,plain,
( ( v4 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ( v4 @ mactual )
| ( v1 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl791]) ).
thf(zip_derived_cl830,plain,
( ( v1 @ mactual )
| ~ ( mrel @ mactual @ mactual )
| ( v4 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl829]) ).
thf(zip_derived_cl54_025,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl831,plain,
( ( v1 @ mactual )
| ( v4 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl830,zip_derived_cl54]) ).
thf(zip_derived_cl54_026,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl54_027,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(persat11,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ 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 ) ) )
| ~ ( v4 @ mactual )
| ( v1 @ mactual ) ) ).
thf(zip_derived_cl12,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 ) )
| ( v1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl290,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 )
| ( v1 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl291,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) ) )
| ( v1 @ mactual )
| ~ ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v3 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl290]) ).
thf(zip_derived_cl292,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 )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl291]) ).
thf(zip_derived_cl293,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( (~) @ ( v4 @ X4 ) ) )
| ( v1 @ 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_cl292]) ).
thf(zip_derived_cl294,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 )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl293]) ).
thf(zip_derived_cl295,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X6 @ Y0 )
=> ( (~) @ ( v3 @ Y0 ) ) ) ) )
| ( v1 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl294]) ).
thf(zip_derived_cl296,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 )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl295]) ).
thf(zip_derived_cl297,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ( ( mrel @ X6 @ X8 )
=> ( (~) @ ( v3 @ X8 ) ) )
| ( v1 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl296]) ).
thf(zip_derived_cl298,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 )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl297]) ).
thf(zip_derived_cl301,plain,
! [X0: mworld,X1: mworld] :
( ( v1 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ X1 )
| ~ ( v4 @ X0 )
| ~ ( mrel @ X1 @ X0 )
| ~ ( mrel @ mactual @ X1 )
| ~ ( v3 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl298]) ).
thf(zip_derived_cl302,plain,
! [X0: mworld,X1: mworld] :
( ~ ( v3 @ X0 )
| ~ ( mrel @ X1 @ X0 )
| ~ ( v4 @ X0 )
| ~ ( mrel @ mactual @ X1 )
| ~ ( v4 @ mactual )
| ( v1 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl301]) ).
thf(zip_derived_cl308,plain,
! [X0: mworld] :
( ( v1 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v4 @ X0 )
| ~ ( v3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl302]) ).
thf(zip_derived_cl54_028,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(persat9,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ v4 ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ) ).
thf(zf_stmt_12,axiom,
( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ~ ( v4 @ X8 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ( v4 @ X4 ) )
| ~ ( v3 @ mactual )
| ( v1 @ mactual ) ) ).
thf(zip_derived_cl10,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v4 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v4 @ Y0 ) ) )
| ( (~) @ ( v3 @ mactual ) )
| ( v1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl235,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v4 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v4 @ Y0 ) ) )
| ~ ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl236,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) ) )
| ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl235]) ).
thf(zip_derived_cl237,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v4 @ Y0 ) ) )
| ~ ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl236]) ).
thf(zip_derived_cl238,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( (~) @ ( v4 @ X4 ) ) )
| ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v4 @ Y0 ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl237]) ).
thf(zip_derived_cl239,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ~ ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v4 @ Y0 ) ) )
| ~ ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl238]) ).
thf(zip_derived_cl240,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( v4 @ X6 ) )
| ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl239]) ).
thf(zip_derived_cl241,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ( v4 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v4 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl240]) ).
thf(zip_derived_cl54_029,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl54_030,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl54_031,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl161_032,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_cl160]) ).
thf(zip_derived_cl162,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ( v1 @ mactual )
| ( v3 @ mactual )
| ~ ( mrel @ mactual @ X1 )
| ( v4 @ X2 )
| ~ ( mrel @ X1 @ X2 )
| ~ ( mrel @ mactual @ X0 )
| ( v3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl161]) ).
thf(zip_derived_cl201,plain,
! [X0: mworld,X1: mworld] :
( ( v3 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( mrel @ mactual @ X1 )
| ( v4 @ X1 )
| ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl162]) ).
thf(zip_derived_cl203,plain,
! [X0: mworld] :
( ( v1 @ mactual )
| ( v3 @ mactual )
| ( v4 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ( v3 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl201]) ).
thf(zip_derived_cl205,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ( v4 @ X0 )
| ( v3 @ mactual )
| ( v1 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl203]) ).
thf(zip_derived_cl242,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( v1 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v4 @ X4 )
| ~ ( mrel @ X2 @ X4 )
| ( v4 @ X6 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(clc,[status(thm)],[zip_derived_cl241,zip_derived_cl205]) ).
thf(zip_derived_cl246,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ( v4 @ X0 )
| ~ ( mrel @ X0 @ X1 )
| ~ ( v4 @ X1 )
| ( v1 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl242]) ).
thf(zip_derived_cl261,plain,
! [X0: mworld] :
( ( v1 @ mactual )
| ~ ( v4 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ( v4 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl246]) ).
thf(zip_derived_cl316,plain,
! [X0: mworld] :
( ~ ( v3 @ X0 )
| ~ ( v4 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ( v1 @ mactual ) ),
inference(clc,[status(thm)],[zip_derived_cl308,zip_derived_cl261]) ).
thf(zip_derived_cl317,plain,
( ( v1 @ mactual )
| ~ ( v4 @ mactual )
| ~ ( v3 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl316]) ).
thf(zip_derived_cl760_033,plain,
v3 @ mactual,
inference(clc,[status(thm)],[zip_derived_cl759,zip_derived_cl685]) ).
thf(zip_derived_cl763,plain,
( ( v1 @ mactual )
| ~ ( v4 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl760]) ).
thf(zip_derived_cl833,plain,
v1 @ mactual,
inference(clc,[status(thm)],[zip_derived_cl831,zip_derived_cl763]) ).
thf(zip_derived_cl886,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) )
| ( (~) @ $true )
| ( (~) @ $true ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl764,zip_derived_cl833]) ).
thf(zip_derived_cl887,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl886]) ).
thf(zip_derived_cl888,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl887]) ).
thf(zip_derived_cl889,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl888]) ).
thf(zip_derived_cl890,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl889]) ).
thf(zip_derived_cl891,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( (~) @ ( v1 @ X4 ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl890]) ).
thf(zip_derived_cl892,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl891]) ).
thf(zip_derived_cl893,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( (~) @ ( v4 @ X6 ) ) )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl892]) ).
thf(zip_derived_cl894,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ~ ( v4 @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl893]) ).
thf(zip_derived_cl897,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ mactual )
| ~ ( v1 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v4 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl894]) ).
thf(zip_derived_cl54_034,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl899,plain,
! [X0: mworld] :
( ~ ( v1 @ X0 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( v4 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl897,zip_derived_cl54]) ).
thf(zip_derived_cl901,plain,
( ~ ( v4 @ mactual )
| ~ ( v1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl899]) ).
thf(zip_derived_cl54_035,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(persat32,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ) ).
thf(zf_stmt_13,axiom,
( ! [X10: mworld] :
( ( mrel @ mactual @ X10 )
=> ! [X12: mworld] :
( ( mrel @ X10 @ X12 )
=> ~ ( v1 @ X12 ) ) )
| ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ( v4 @ X8 ) ) )
| ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ~ ( v1 @ X4 ) )
| ( v4 @ mactual ) ) ).
thf(zip_derived_cl33,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( v4 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl806,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( (~) @ ( v1 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( v4 @ mactual ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl807,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) ) )
| ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl806]) ).
thf(zip_derived_cl808,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( v4 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl807]) ).
thf(zip_derived_cl809,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X4 )
=> ( (~) @ ( v1 @ X4 ) ) )
| ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl808]) ).
thf(zip_derived_cl810,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( v4 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl809]) ).
thf(zip_derived_cl811,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ mactual @ X6 )
=> ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X6 @ Y0 )
=> ( v4 @ Y0 ) ) ) )
| ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl810]) ).
thf(zip_derived_cl812,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ mactual @ X6 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X6 @ Y0 )
=> ( v4 @ Y0 ) ) )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( v4 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl811]) ).
thf(zip_derived_cl813,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ( ( mrel @ X6 @ X8 )
=> ( v4 @ X8 ) )
| ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( mrel @ mactual @ X2 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( mrel @ mactual @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl812]) ).
thf(zip_derived_cl814,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ~ ( mrel @ X6 @ X8 )
| ( v4 @ X8 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( v1 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ( v4 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl813]) ).
thf(zip_derived_cl785_036,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 )
| ( v4 @ mactual ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl784]) ).
thf(zip_derived_cl815,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld] :
( ( v4 @ mactual )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( (~) @ ( v1 @ Y0 ) ) ) )
| ~ ( mrel @ mactual @ X2 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( mrel @ mactual @ X6 )
| ( v4 @ X8 )
| ~ ( mrel @ X6 @ X8 ) ),
inference(clc,[status(thm)],[zip_derived_cl814,zip_derived_cl785]) ).
thf(zip_derived_cl816,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld,X10: mworld] :
( ( ( mrel @ mactual @ X10 )
=> ( (~) @ ( v1 @ X10 ) ) )
| ~ ( mrel @ X6 @ X8 )
| ( v4 @ X8 )
| ~ ( mrel @ mactual @ X6 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( mrel @ mactual @ X2 )
| ( v4 @ mactual ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl815]) ).
thf(zip_derived_cl817,plain,
! [X2: mworld,X4: mworld,X6: mworld,X8: mworld,X10: mworld] :
( ~ ( mrel @ mactual @ X10 )
| ~ ( v1 @ X10 )
| ( v4 @ mactual )
| ~ ( mrel @ mactual @ X2 )
| ~ ( mrel @ X2 @ X4 )
| ~ ( mrel @ mactual @ X6 )
| ( v4 @ X8 )
| ~ ( mrel @ X6 @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl816]) ).
thf(zip_derived_cl821,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ~ ( mrel @ X2 @ X1 )
| ( v4 @ X1 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( mrel @ mactual @ X0 )
| ~ ( mrel @ mactual @ mactual )
| ( v4 @ mactual )
| ~ ( v1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl817]) ).
thf(zip_derived_cl54_037,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl825,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ~ ( mrel @ X2 @ X1 )
| ( v4 @ X1 )
| ~ ( mrel @ mactual @ X2 )
| ~ ( mrel @ mactual @ X0 )
| ( v4 @ mactual )
| ~ ( v1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl821,zip_derived_cl54]) ).
thf(zip_derived_cl843,plain,
! [X0: mworld] :
( ~ ( v1 @ X0 )
| ( v4 @ mactual )
| ~ ( mrel @ mactual @ X0 )
| ~ ( mrel @ mactual @ mactual )
| ( v4 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl825]) ).
thf(zip_derived_cl845,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ mactual )
| ~ ( mrel @ mactual @ X0 )
| ( v4 @ mactual )
| ~ ( v1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl843]) ).
thf(zip_derived_cl54_038,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl847,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ( v4 @ mactual )
| ~ ( v1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl845,zip_derived_cl54]) ).
thf(zip_derived_cl849,plain,
( ~ ( v1 @ mactual )
| ( v4 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl847]) ).
thf(zip_derived_cl833_039,plain,
v1 @ mactual,
inference(clc,[status(thm)],[zip_derived_cl831,zip_derived_cl763]) ).
thf(zip_derived_cl851,plain,
v4 @ mactual,
inference(demod,[status(thm)],[zip_derived_cl849,zip_derived_cl833]) ).
thf(zip_derived_cl833_040,plain,
v1 @ mactual,
inference(clc,[status(thm)],[zip_derived_cl831,zip_derived_cl763]) ).
thf(zip_derived_cl903,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl901,zip_derived_cl851,zip_derived_cl833]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO903^10 : TPTP v9.2.0. Released v8.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MWhqQ7suVm true
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 18:14:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.55/0.66 % Total configuration time : 828
% 0.55/0.66 % Estimated wc time : 1656
% 0.55/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.60/0.93 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.60/1.11 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 6.95/1.51 % Solved by lams/15_lifting3.sh.
% 6.95/1.51 % done 286 iterations in 0.344s
% 6.95/1.51 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.95/1.51 % SZS output start Refutation
% See solution above
% 6.95/1.52
% 6.95/1.52
% 6.95/1.52 % Terminating...
% 7.28/1.56 % Runner terminated.
% 7.28/1.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------