TSTP Solution File: SYO893^11 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO893^11 : 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.q2nh1O5Q7c true
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 05:53:10 EDT 2023
% Result : Theorem 1.40s 1.04s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 36
% Syntax : Number of formulae : 126 ( 35 unt; 16 typ; 0 def)
% Number of atoms : 523 ( 18 equ; 29 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1206 ( 141 ~; 102 |; 76 &; 710 @)
% ( 5 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 41 ( 41 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 15 usr; 8 con; 0-3 aty)
% ( 52 !!; 55 ??; 0 @@+; 0 @@-)
% Number of variables : 214 ( 137 ^; 68 !; 9 ?; 214 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf('#sk6_type',type,
'#sk6': mworld > mworld ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mequiv_type,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(p_type,type,
p: mworld > $o ).
thf('#form2_type',type,
'#form2': $o ).
thf('#sk4_type',type,
'#sk4': mworld ).
thf('#sk1_type',type,
'#sk1': mworld > mworld ).
thf(mdia_type,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(mnot_type,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf('#sk3_type',type,
'#sk3': mworld > mworld ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf('#sk5_type',type,
'#sk5': mworld ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf('#sk7_type',type,
'#sk7': mworld > mworld ).
thf(mdia_def,axiom,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ W @ V ) ) ) ) ).
thf('0',plain,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_def]) ).
thf('1',plain,
( mdia
= ( ^ [V_1: mworld > $o,V_2: mworld] :
? [X4: mworld] :
( ( V_1 @ X4 )
& ( mrel @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ) ).
thf('2',plain,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).
thf('3',plain,
( mbox
= ( ^ [V_1: mworld > $o,V_2: mworld] :
! [X4: mworld] :
( ( mrel @ V_2 @ X4 )
=> ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mequiv_def,axiom,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ) ).
thf('4',plain,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv_def]) ).
thf('5',plain,
( mequiv
= ( ^ [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('6',plain,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot_def]) ).
thf('7',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('8',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('9',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(con,conjecture,
mlocal @ ( mequiv @ ( mnot @ ( mbox @ ( mdia @ ( mbox @ p ) ) ) ) @ ( mdia @ ( mbox @ ( mdia @ ( mnot @ p ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ~ ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ? [X6: mworld] :
( ( mrel @ X4 @ X6 )
& ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ( p @ X8 ) ) ) )
<=> ? [X10: mworld] :
( ( mrel @ mactual @ X10 )
& ! [X12: mworld] :
( ( mrel @ X10 @ X12 )
=> ? [X14: mworld] :
( ( mrel @ X12 @ X14 )
& ~ ( p @ X14 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ~ ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ? [X6: mworld] :
( ( mrel @ X4 @ X6 )
& ! [X8: mworld] :
( ( mrel @ X6 @ X8 )
=> ( p @ X8 ) ) ) )
<=> ? [X10: mworld] :
( ( mrel @ mactual @ X10 )
& ! [X12: mworld] :
( ( mrel @ X10 @ X12 )
=> ? [X14: mworld] :
( ( mrel @ X12 @ X14 )
& ~ ( p @ X14 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
( ( (~)
@ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ??
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) ) )
!= ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ??
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) )
= ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl18,plain,
( ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ??
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) )
| ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18_001,plain,
( ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ??
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) )
| ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl56,plain,
( ~ '#form2'
| ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl9_002,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ??
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) )
= ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl17,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ??
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) )
| ~ ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl25,plain,
! [X2: mworld] :
( ( ( mrel @ mactual @ X2 )
=> ( ??
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) ) )
| ~ ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl26,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ( ??
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) )
| ~ ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl27,plain,
! [X2: mworld] :
( ( ( mrel @ X2 @ ( '#sk1' @ X2 ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ ( '#sk1' @ X2 ) @ Y0 )
=> ( p @ Y0 ) ) ) )
| ~ ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl28,plain,
! [X2: mworld] :
( ( mrel @ X2 @ ( '#sk1' @ X2 ) )
| ~ ( mrel @ mactual @ X2 )
| ~ ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl30,plain,
( '#form2'
| ~ ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl58,plain,
( '#form2'
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ??
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl18,zip_derived_cl56,zip_derived_cl30]) ).
thf(zip_derived_cl59,plain,
( ~ ( ( mrel @ mactual @ '#sk5' )
=> ( ??
@ ^ [Y0: mworld] :
( ( mrel @ '#sk5' @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) ) )
| '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl62,plain,
( ( mrel @ mactual @ '#sk5' )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl30_003,plain,
( '#form2'
| ~ ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl31,plain,
! [X2: mworld] :
( ~ ( ( mrel @ mactual @ X2 )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( ??
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
& ( (~) @ ( p @ Y1 ) ) ) ) ) ) )
| '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl34,plain,
! [X2: mworld] :
( ~ ( mrel @ mactual @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( ??
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
& ( (~) @ ( p @ Y1 ) ) ) ) ) )
| '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl36,plain,
! [X2: mworld] :
( ~ ( ( mrel @ X2 @ ( '#sk3' @ X2 ) )
=> ( ??
@ ^ [Y0: mworld] :
( ( mrel @ ( '#sk3' @ X2 ) @ Y0 )
& ( (~) @ ( p @ Y0 ) ) ) ) )
| '#form2'
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl38,plain,
! [X2: mworld] :
( ( mrel @ X2 @ ( '#sk3' @ X2 ) )
| ~ ( mrel @ mactual @ X2 )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl154,plain,
( '#form2'
| '#form2'
| ( mrel @ '#sk5' @ ( '#sk3' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl38]) ).
thf(zip_derived_cl162,plain,
( ( mrel @ '#sk5' @ ( '#sk3' @ '#sk5' ) )
| '#form2' ),
inference(simplify,[status(thm)],[zip_derived_cl154]) ).
thf(zip_derived_cl56_004,plain,
( ~ '#form2'
| ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl57,plain,
( ( ( mrel @ mactual @ '#sk4' )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk4' @ Y0 )
=> ( ??
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
& ( (~) @ ( p @ Y1 ) ) ) ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl60,plain,
( ( mrel @ mactual @ '#sk4' )
| ~ '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl28_005,plain,
! [X2: mworld] :
( ( mrel @ X2 @ ( '#sk1' @ X2 ) )
| ~ ( mrel @ mactual @ X2 )
| ~ ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl30_006,plain,
( '#form2'
| ~ ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl32,plain,
! [X2: mworld] :
( ~ '#form2'
| ~ ( mrel @ mactual @ X2 )
| ( mrel @ X2 @ ( '#sk1' @ X2 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl28,zip_derived_cl30]) ).
thf(zip_derived_cl74,plain,
( ~ '#form2'
| ( mrel @ '#sk4' @ ( '#sk1' @ '#sk4' ) )
| ~ '#form2' ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl32]) ).
thf(zip_derived_cl80,plain,
( ( mrel @ '#sk4' @ ( '#sk1' @ '#sk4' ) )
| ~ '#form2' ),
inference(simplify,[status(thm)],[zip_derived_cl74]) ).
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_cl3,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl61,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk4' @ Y0 )
=> ( ??
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
& ( (~) @ ( p @ Y1 ) ) ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl64,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk4' @ X2 )
=> ( ??
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
& ( (~) @ ( p @ Y0 ) ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl66,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk4' @ X2 )
| ( ??
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
& ( (~) @ ( p @ Y0 ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl68,plain,
! [X2: mworld] :
( ( ( mrel @ X2 @ ( '#sk6' @ X2 ) )
& ( (~) @ ( p @ ( '#sk6' @ X2 ) ) ) )
| ~ '#form2'
| ~ ( mrel @ '#sk4' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl70,plain,
! [X2: mworld] :
( ( mrel @ X2 @ ( '#sk6' @ X2 ) )
| ~ ( mrel @ '#sk4' @ X2 )
| ~ '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl524,plain,
( ~ '#form2'
| ( mrel @ '#sk4' @ ( '#sk6' @ '#sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl70]) ).
thf(mrel_euclidean,axiom,
! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ W @ U ) )
=> ( mrel @ U @ V ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: mworld] :
( !!
@ ^ [Y1: mworld] :
( !!
@ ^ [Y2: mworld] :
( ( ( mrel @ Y0 @ Y1 )
& ( mrel @ Y0 @ Y2 ) )
=> ( mrel @ Y2 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[mrel_euclidean]) ).
thf(zip_derived_cl4,plain,
! [X2: mworld] :
( !!
@ ^ [Y0: mworld] :
( !!
@ ^ [Y1: mworld] :
( ( ( mrel @ X2 @ Y0 )
& ( mrel @ X2 @ Y1 ) )
=> ( mrel @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: mworld,X4: mworld] :
( !!
@ ^ [Y0: mworld] :
( ( ( mrel @ X2 @ X4 )
& ( mrel @ X2 @ Y0 ) )
=> ( mrel @ Y0 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ( ( mrel @ X2 @ X4 )
& ( mrel @ X2 @ X6 ) )
=> ( mrel @ X6 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( ( mrel @ X2 @ X4 )
& ( mrel @ X2 @ X6 ) )
| ( mrel @ X6 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ~ ( mrel @ X2 @ X6 )
| ( mrel @ X6 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl576,plain,
! [X0: mworld] :
( ~ '#form2'
| ( mrel @ X0 @ ( '#sk6' @ '#sk4' ) )
| ~ ( mrel @ '#sk4' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl8]) ).
thf(zip_derived_cl587,plain,
( ~ '#form2'
| ( mrel @ ( '#sk1' @ '#sk4' ) @ ( '#sk6' @ '#sk4' ) )
| ~ '#form2' ),
inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl576]) ).
thf(zip_derived_cl597,plain,
( ( mrel @ ( '#sk1' @ '#sk4' ) @ ( '#sk6' @ '#sk4' ) )
| ~ '#form2' ),
inference(simplify,[status(thm)],[zip_derived_cl587]) ).
thf(zip_derived_cl29,plain,
! [X2: mworld] :
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ ( '#sk1' @ X2 ) @ Y0 )
=> ( p @ Y0 ) ) )
| ~ ( mrel @ mactual @ X2 )
| ~ ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl30_007,plain,
( '#form2'
| ~ ( ??
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ??
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
& ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl33,plain,
! [X2: mworld] :
( ~ '#form2'
| ~ ( mrel @ mactual @ X2 )
| ( !!
@ ^ [Y0: mworld] :
( ( mrel @ ( '#sk1' @ X2 ) @ Y0 )
=> ( p @ Y0 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl29,zip_derived_cl30]) ).
thf(zip_derived_cl35,plain,
! [X2: mworld,X4: mworld] :
( ( ( mrel @ ( '#sk1' @ X2 ) @ X4 )
=> ( p @ X4 ) )
| ~ ( mrel @ mactual @ X2 )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl37,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ ( '#sk1' @ X2 ) @ X4 )
| ( p @ X4 )
| ~ '#form2'
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl900,plain,
( ~ '#form2'
| ~ ( mrel @ mactual @ '#sk4' )
| ~ '#form2'
| ( p @ ( '#sk6' @ '#sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl37]) ).
thf(zip_derived_cl906,plain,
( ( p @ ( '#sk6' @ '#sk4' ) )
| ~ ( mrel @ mactual @ '#sk4' )
| ~ '#form2' ),
inference(simplify,[status(thm)],[zip_derived_cl900]) ).
thf(zip_derived_cl60_008,plain,
( ( mrel @ mactual @ '#sk4' )
| ~ '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl970,plain,
( ~ '#form2'
| ( p @ ( '#sk6' @ '#sk4' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl906,zip_derived_cl60]) ).
thf(zip_derived_cl71,plain,
! [X2: mworld] :
( ~ ( p @ ( '#sk6' @ X2 ) )
| ~ ( mrel @ '#sk4' @ X2 )
| ~ '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl971,plain,
( ~ '#form2'
| ~ '#form2'
| ~ ( mrel @ '#sk4' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl970,zip_derived_cl71]) ).
thf(zip_derived_cl3_009,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl973,plain,
( ~ '#form2'
| ~ '#form2' ),
inference(demod,[status(thm)],[zip_derived_cl971,zip_derived_cl3]) ).
thf(zip_derived_cl974,plain,
~ '#form2',
inference(simplify,[status(thm)],[zip_derived_cl973]) ).
thf(zip_derived_cl986,plain,
mrel @ '#sk5' @ ( '#sk3' @ '#sk5' ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl974]) ).
thf(zip_derived_cl3_010,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl63,plain,
( ~ ( ??
@ ^ [Y0: mworld] :
( ( mrel @ '#sk5' @ Y0 )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl65,plain,
! [X2: mworld] :
( ~ ( ( mrel @ '#sk5' @ X2 )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( p @ Y0 ) ) ) )
| '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl67,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk5' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( p @ Y0 ) ) )
| '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl69,plain,
! [X2: mworld] :
( ~ ( ( mrel @ X2 @ ( '#sk7' @ X2 ) )
=> ( p @ ( '#sk7' @ X2 ) ) )
| '#form2'
| ~ ( mrel @ '#sk5' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl72,plain,
! [X2: mworld] :
( ( mrel @ X2 @ ( '#sk7' @ X2 ) )
| ~ ( mrel @ '#sk5' @ X2 )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl635,plain,
( '#form2'
| ( mrel @ '#sk5' @ ( '#sk7' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl72]) ).
thf(zip_derived_cl974_011,plain,
~ '#form2',
inference(simplify,[status(thm)],[zip_derived_cl973]) ).
thf(zip_derived_cl1009,plain,
mrel @ '#sk5' @ ( '#sk7' @ '#sk5' ),
inference(demod,[status(thm)],[zip_derived_cl635,zip_derived_cl974]) ).
thf(zip_derived_cl8_012,plain,
! [X2: mworld,X4: mworld,X6: mworld] :
( ~ ( mrel @ X2 @ X4 )
| ~ ( mrel @ X2 @ X6 )
| ( mrel @ X6 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl1059,plain,
! [X0: mworld] :
( ( mrel @ X0 @ ( '#sk7' @ '#sk5' ) )
| ~ ( mrel @ '#sk5' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1009,zip_derived_cl8]) ).
thf(zip_derived_cl1359,plain,
mrel @ ( '#sk3' @ '#sk5' ) @ ( '#sk7' @ '#sk5' ),
inference('sup-',[status(thm)],[zip_derived_cl986,zip_derived_cl1059]) ).
thf(zip_derived_cl39,plain,
! [X2: mworld] :
( ~ ( ??
@ ^ [Y0: mworld] :
( ( mrel @ ( '#sk3' @ X2 ) @ Y0 )
& ( (~) @ ( p @ Y0 ) ) ) )
| ~ ( mrel @ mactual @ X2 )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl40,plain,
! [X2: mworld,X4: mworld] :
( ~ ( ( mrel @ ( '#sk3' @ X2 ) @ X4 )
& ( (~) @ ( p @ X4 ) ) )
| '#form2'
| ~ ( mrel @ mactual @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl41,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ ( '#sk3' @ X2 ) @ X4 )
| ( p @ X4 )
| ~ ( mrel @ mactual @ X2 )
| '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl974_013,plain,
~ '#form2',
inference(simplify,[status(thm)],[zip_derived_cl973]) ).
thf(zip_derived_cl978,plain,
! [X2: mworld,X4: mworld] :
( ~ ( mrel @ ( '#sk3' @ X2 ) @ X4 )
| ( p @ X4 )
| ~ ( mrel @ mactual @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl974]) ).
thf(zip_derived_cl1492,plain,
( ~ ( mrel @ mactual @ '#sk5' )
| ( p @ ( '#sk7' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1359,zip_derived_cl978]) ).
thf(zip_derived_cl62_014,plain,
( ( mrel @ mactual @ '#sk5' )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl974_015,plain,
~ '#form2',
inference(simplify,[status(thm)],[zip_derived_cl973]) ).
thf(zip_derived_cl979,plain,
mrel @ mactual @ '#sk5',
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl974]) ).
thf(zip_derived_cl1500,plain,
p @ ( '#sk7' @ '#sk5' ),
inference(demod,[status(thm)],[zip_derived_cl1492,zip_derived_cl979]) ).
thf(zip_derived_cl73,plain,
! [X2: mworld] :
( ~ ( p @ ( '#sk7' @ X2 ) )
| ~ ( mrel @ '#sk5' @ X2 )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl974_016,plain,
~ '#form2',
inference(simplify,[status(thm)],[zip_derived_cl973]) ).
thf(zip_derived_cl981,plain,
! [X2: mworld] :
( ~ ( p @ ( '#sk7' @ X2 ) )
| ~ ( mrel @ '#sk5' @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl974]) ).
thf(zip_derived_cl1502,plain,
~ ( mrel @ '#sk5' @ '#sk5' ),
inference('sup-',[status(thm)],[zip_derived_cl1500,zip_derived_cl981]) ).
thf(zip_derived_cl3_017,plain,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl1504,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1502,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYO893^11 : TPTP v8.1.2. Released v8.1.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q2nh1O5Q7c true
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 07:27:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.21/0.68 % Total configuration time : 828
% 0.21/0.68 % Estimated wc time : 1656
% 0.21/0.68 % Estimated cpu time (8 cpus) : 207.0
% 1.03/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.03/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.25/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.25/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.25/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.25/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.25/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.25/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.40/1.04 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.40/1.04 % Solved by lams/20_acsne_simpl.sh.
% 1.40/1.04 % done 640 iterations in 0.201s
% 1.40/1.04 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.40/1.04 % SZS output start Refutation
% See solution above
% 1.40/1.04
% 1.40/1.04
% 1.40/1.04 % Terminating...
% 1.71/1.21 % Runner terminated.
% 1.76/1.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------