TSTP Solution File: SET926^7 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET926^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gm8Fn82T5m true
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:16:52 EDT 2023
% Result : Theorem 1.54s 0.94s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 37
% Syntax : Number of formulae : 78 ( 30 unt; 17 typ; 0 def)
% Number of atoms : 314 ( 21 equ; 59 cnn)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 972 ( 106 ~; 77 |; 0 &; 733 @)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 76 ( 76 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 16 usr; 7 con; 0-3 aty)
% ( 21 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 121 ( 69 ^; 52 !; 0 ?; 121 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(in_type,type,
in: mu > mu > $i > $o ).
thf('#sk5_type',type,
'#sk5': mu ).
thf('#sk6_type',type,
'#sk6': mu ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(set_difference_type,type,
set_difference: mu > mu > mu ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(empty_set_type,type,
empty_set: mu ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(exists_in_world_type,type,
exists_in_world: mu > $i > $o ).
thf(qmltpeq_type,type,
qmltpeq: mu > mu > $i > $o ).
thf(mequiv_type,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(singleton_type,type,
singleton: mu > mu ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('1',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] :
( ( exists_in_world @ X @ W )
=> ( Phi @ X @ W ) ) ) ) ).
thf('2',plain,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] :
( ( exists_in_world @ X @ W )
=> ( Phi @ X @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).
thf('3',plain,
( mforall_ind
= ( ^ [V_1: mu > $i > $o,V_2: $i] :
! [X4: mu] :
( ( exists_in_world @ X4 @ V_2 )
=> ( V_1 @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(mor,axiom,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ) ).
thf('4',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('5',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(t69_zfmisc_1,conjecture,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mor @ ( qmltpeq @ ( set_difference @ ( singleton @ A ) @ B ) @ empty_set ) @ ( qmltpeq @ ( set_difference @ ( singleton @ A ) @ B ) @ ( singleton @ A ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: mu] :
( ( exists_in_world @ X6 @ X4 )
=> ! [X8: mu] :
( ( exists_in_world @ X8 @ X4 )
=> ( ( qmltpeq @ ( set_difference @ ( singleton @ X6 ) @ X8 ) @ ( singleton @ X6 ) @ X4 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X6 ) @ X8 ) @ empty_set @ X4 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: mu] :
( ( exists_in_world @ X6 @ X4 )
=> ! [X8: mu] :
( ( exists_in_world @ X8 @ X4 )
=> ( ( qmltpeq @ ( set_difference @ ( singleton @ X6 ) @ X8 ) @ ( singleton @ X6 ) @ X4 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X6 ) @ X8 ) @ empty_set @ X4 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( ( qmltpeq @ ( set_difference @ ( singleton @ Y1 ) @ Y2 ) @ ( singleton @ Y1 ) @ Y0 )
| ( qmltpeq @ ( set_difference @ ( singleton @ Y1 ) @ Y2 ) @ empty_set @ Y0 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl64,plain,
~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ ( singleton @ Y0 ) @ '#sk4' )
| ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set @ '#sk4' ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl65,plain,
~ ( ( exists_in_world @ '#sk5' @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( ( qmltpeq @ ( set_difference @ ( singleton @ '#sk5' ) @ Y0 ) @ ( singleton @ '#sk5' ) @ '#sk4' )
| ( qmltpeq @ ( set_difference @ ( singleton @ '#sk5' ) @ Y0 ) @ empty_set @ '#sk4' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl67,plain,
~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( ( qmltpeq @ ( set_difference @ ( singleton @ '#sk5' ) @ Y0 ) @ ( singleton @ '#sk5' ) @ '#sk4' )
| ( qmltpeq @ ( set_difference @ ( singleton @ '#sk5' ) @ Y0 ) @ empty_set @ '#sk4' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl68,plain,
~ ( ( exists_in_world @ '#sk6' @ '#sk4' )
=> ( ( qmltpeq @ ( set_difference @ ( singleton @ '#sk5' ) @ '#sk6' ) @ ( singleton @ '#sk5' ) @ '#sk4' )
| ( qmltpeq @ ( set_difference @ ( singleton @ '#sk5' ) @ '#sk6' ) @ empty_set @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl70,plain,
~ ( ( qmltpeq @ ( set_difference @ ( singleton @ '#sk5' ) @ '#sk6' ) @ ( singleton @ '#sk5' ) @ '#sk4' )
| ( qmltpeq @ ( set_difference @ ( singleton @ '#sk5' ) @ '#sk6' ) @ empty_set @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl72,plain,
~ ( qmltpeq @ ( set_difference @ ( singleton @ '#sk5' ) @ '#sk6' ) @ empty_set @ '#sk4' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl70]) ).
thf(mequiv,axiom,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'5','7']) ).
thf('9',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(mand,axiom,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
thf('10',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'5','7']) ).
thf('11',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf('12',plain,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv,'9','11','5','7']) ).
thf('13',plain,
( mequiv
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mand @ ( mimplies @ V_1 @ V_2 ) @ ( mimplies @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(l36_zfmisc_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mequiv @ ( qmltpeq @ ( set_difference @ ( singleton @ A ) @ B ) @ empty_set ) @ ( in @ A @ B ) ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: mu] :
( ( exists_in_world @ X6 @ X4 )
=> ! [X8: mu] :
( ( exists_in_world @ X8 @ X4 )
=> ~ ( ~ ( ( qmltpeq @ ( set_difference @ ( singleton @ X6 ) @ X8 ) @ empty_set @ X4 )
| ~ ( in @ X6 @ X8 @ X4 ) )
| ~ ( ( in @ X6 @ X8 @ X4 )
| ~ ( qmltpeq @ ( set_difference @ ( singleton @ X6 ) @ X8 ) @ empty_set @ X4 ) ) ) ) ) ).
thf(zip_derived_cl19,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( (~)
@ ( ( (~)
@ ( ( qmltpeq @ ( set_difference @ ( singleton @ Y1 ) @ Y2 ) @ empty_set @ Y0 )
| ( (~) @ ( in @ Y1 @ Y2 @ Y0 ) ) ) )
| ( (~)
@ ( ( in @ Y1 @ Y2 @ Y0 )
| ( (~) @ ( qmltpeq @ ( set_difference @ ( singleton @ Y1 ) @ Y2 ) @ empty_set @ Y0 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl253,plain,
! [X2: $i] :
( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X2 )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ X2 )
=> ( (~)
@ ( ( (~)
@ ( ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set @ X2 )
| ( (~) @ ( in @ Y0 @ Y1 @ X2 ) ) ) )
| ( (~)
@ ( ( in @ Y0 @ Y1 @ X2 )
| ( (~) @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set @ X2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl254,plain,
! [X2: $i,X4: mu] :
( ( exists_in_world @ X4 @ X2 )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X2 )
=> ( (~)
@ ( ( (~)
@ ( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ Y0 ) @ empty_set @ X2 )
| ( (~) @ ( in @ X4 @ Y0 @ X2 ) ) ) )
| ( (~)
@ ( ( in @ X4 @ Y0 @ X2 )
| ( (~) @ ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ Y0 ) @ empty_set @ X2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl253]) ).
thf(zip_derived_cl255,plain,
! [X2: $i,X4: mu] :
( ~ ( exists_in_world @ X4 @ X2 )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X2 )
=> ( (~)
@ ( ( (~)
@ ( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ Y0 ) @ empty_set @ X2 )
| ( (~) @ ( in @ X4 @ Y0 @ X2 ) ) ) )
| ( (~)
@ ( ( in @ X4 @ Y0 @ X2 )
| ( (~) @ ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ Y0 ) @ empty_set @ X2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl254]) ).
thf(zip_derived_cl256,plain,
! [X2: $i,X4: mu,X6: mu] :
( ( ( exists_in_world @ X6 @ X2 )
=> ( (~)
@ ( ( (~)
@ ( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ empty_set @ X2 )
| ( (~) @ ( in @ X4 @ X6 @ X2 ) ) ) )
| ( (~)
@ ( ( in @ X4 @ X6 @ X2 )
| ( (~) @ ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ empty_set @ X2 ) ) ) ) ) ) )
| ~ ( exists_in_world @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl255]) ).
thf(zip_derived_cl257,plain,
! [X2: $i,X4: mu,X6: mu] :
( ~ ( exists_in_world @ X6 @ X2 )
| ~ ( ( (~)
@ ( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ empty_set @ X2 )
| ( (~) @ ( in @ X4 @ X6 @ X2 ) ) ) )
| ( (~)
@ ( ( in @ X4 @ X6 @ X2 )
| ( (~) @ ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ empty_set @ X2 ) ) ) ) )
| ~ ( exists_in_world @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl256]) ).
thf(zip_derived_cl258,plain,
! [X2: $i,X4: mu,X6: mu] :
( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ empty_set @ X2 )
| ( (~) @ ( in @ X4 @ X6 @ X2 ) )
| ~ ( exists_in_world @ X4 @ X2 )
| ~ ( exists_in_world @ X6 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl257]) ).
thf(zip_derived_cl260,plain,
! [X2: $i,X4: mu,X6: mu] :
( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ empty_set @ X2 )
| ~ ( in @ X4 @ X6 @ X2 )
| ~ ( exists_in_world @ X6 @ X2 )
| ~ ( exists_in_world @ X4 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl258]) ).
thf(zip_derived_cl268,plain,
( ~ ( exists_in_world @ '#sk5' @ '#sk4' )
| ~ ( exists_in_world @ '#sk6' @ '#sk4' )
| ~ ( in @ '#sk5' @ '#sk6' @ '#sk4' ) ),
inference('sup+',[status(thm)],[zip_derived_cl72,zip_derived_cl260]) ).
thf(zip_derived_cl66,plain,
exists_in_world @ '#sk5' @ '#sk4',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl69,plain,
exists_in_world @ '#sk6' @ '#sk4',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl276,plain,
~ ( in @ '#sk5' @ '#sk6' @ '#sk4' ),
inference(demod,[status(thm)],[zip_derived_cl268,zip_derived_cl66,zip_derived_cl69]) ).
thf(zip_derived_cl71,plain,
~ ( qmltpeq @ ( set_difference @ ( singleton @ '#sk5' ) @ '#sk6' ) @ ( singleton @ '#sk5' ) @ '#sk4' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl70]) ).
thf(l34_zfmisc_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mequiv @ ( qmltpeq @ ( set_difference @ ( singleton @ A ) @ B ) @ ( singleton @ A ) ) @ ( mnot @ ( in @ A @ B ) ) ) ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i,X6: mu] :
( ( exists_in_world @ X6 @ X4 )
=> ! [X8: mu] :
( ( exists_in_world @ X8 @ X4 )
=> ~ ( ~ ( ( qmltpeq @ ( set_difference @ ( singleton @ X6 ) @ X8 ) @ ( singleton @ X6 ) @ X4 )
| ( in @ X6 @ X8 @ X4 ) )
| ~ ( ~ ( in @ X6 @ X8 @ X4 )
| ~ ( qmltpeq @ ( set_difference @ ( singleton @ X6 ) @ X8 ) @ ( singleton @ X6 ) @ X4 ) ) ) ) ) ).
thf(zip_derived_cl18,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( (~)
@ ( ( (~)
@ ( ( qmltpeq @ ( set_difference @ ( singleton @ Y1 ) @ Y2 ) @ ( singleton @ Y1 ) @ Y0 )
| ( in @ Y1 @ Y2 @ Y0 ) ) )
| ( (~)
@ ( ( (~) @ ( in @ Y1 @ Y2 @ Y0 ) )
| ( (~) @ ( qmltpeq @ ( set_difference @ ( singleton @ Y1 ) @ Y2 ) @ ( singleton @ Y1 ) @ Y0 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl290,plain,
! [X2: $i] :
( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X2 )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ X2 )
=> ( (~)
@ ( ( (~)
@ ( ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ ( singleton @ Y0 ) @ X2 )
| ( in @ Y0 @ Y1 @ X2 ) ) )
| ( (~)
@ ( ( (~) @ ( in @ Y0 @ Y1 @ X2 ) )
| ( (~) @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ ( singleton @ Y0 ) @ X2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl291,plain,
! [X2: $i,X4: mu] :
( ( exists_in_world @ X4 @ X2 )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X2 )
=> ( (~)
@ ( ( (~)
@ ( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ Y0 ) @ ( singleton @ X4 ) @ X2 )
| ( in @ X4 @ Y0 @ X2 ) ) )
| ( (~)
@ ( ( (~) @ ( in @ X4 @ Y0 @ X2 ) )
| ( (~) @ ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ Y0 ) @ ( singleton @ X4 ) @ X2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl290]) ).
thf(zip_derived_cl292,plain,
! [X2: $i,X4: mu] :
( ~ ( exists_in_world @ X4 @ X2 )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X2 )
=> ( (~)
@ ( ( (~)
@ ( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ Y0 ) @ ( singleton @ X4 ) @ X2 )
| ( in @ X4 @ Y0 @ X2 ) ) )
| ( (~)
@ ( ( (~) @ ( in @ X4 @ Y0 @ X2 ) )
| ( (~) @ ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ Y0 ) @ ( singleton @ X4 ) @ X2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl291]) ).
thf(zip_derived_cl293,plain,
! [X2: $i,X4: mu,X6: mu] :
( ( ( exists_in_world @ X6 @ X2 )
=> ( (~)
@ ( ( (~)
@ ( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ ( singleton @ X4 ) @ X2 )
| ( in @ X4 @ X6 @ X2 ) ) )
| ( (~)
@ ( ( (~) @ ( in @ X4 @ X6 @ X2 ) )
| ( (~) @ ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ ( singleton @ X4 ) @ X2 ) ) ) ) ) ) )
| ~ ( exists_in_world @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl292]) ).
thf(zip_derived_cl294,plain,
! [X2: $i,X4: mu,X6: mu] :
( ~ ( exists_in_world @ X6 @ X2 )
| ~ ( ( (~)
@ ( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ ( singleton @ X4 ) @ X2 )
| ( in @ X4 @ X6 @ X2 ) ) )
| ( (~)
@ ( ( (~) @ ( in @ X4 @ X6 @ X2 ) )
| ( (~) @ ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ ( singleton @ X4 ) @ X2 ) ) ) ) )
| ~ ( exists_in_world @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl293]) ).
thf(zip_derived_cl295,plain,
! [X2: $i,X4: mu,X6: mu] :
( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ ( singleton @ X4 ) @ X2 )
| ( in @ X4 @ X6 @ X2 )
| ~ ( exists_in_world @ X4 @ X2 )
| ~ ( exists_in_world @ X6 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl294]) ).
thf(zip_derived_cl297,plain,
! [X2: $i,X4: mu,X6: mu] :
( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ ( singleton @ X4 ) @ X2 )
| ( in @ X4 @ X6 @ X2 )
| ~ ( exists_in_world @ X6 @ X2 )
| ~ ( exists_in_world @ X4 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl295]) ).
thf(zip_derived_cl305,plain,
( ~ ( exists_in_world @ '#sk5' @ '#sk4' )
| ~ ( exists_in_world @ '#sk6' @ '#sk4' )
| ( in @ '#sk5' @ '#sk6' @ '#sk4' ) ),
inference('sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl297]) ).
thf(zip_derived_cl66_001,plain,
exists_in_world @ '#sk5' @ '#sk4',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl69_002,plain,
exists_in_world @ '#sk6' @ '#sk4',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl313,plain,
in @ '#sk5' @ '#sk6' @ '#sk4',
inference(demod,[status(thm)],[zip_derived_cl305,zip_derived_cl66,zip_derived_cl69]) ).
thf(zip_derived_cl327,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET926^7 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gm8Fn82T5m true
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 16:12:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.20/0.67 % Total configuration time : 828
% 0.20/0.67 % Estimated wc time : 1656
% 0.20/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.93/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.93/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.93/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.93/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.36/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.54/0.94 % Solved by lams/35_full_unif4.sh.
% 1.54/0.94 % done 39 iterations in 0.137s
% 1.54/0.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.54/0.94 % SZS output start Refutation
% See solution above
% 1.54/0.94
% 1.54/0.94
% 1.54/0.94 % Terminating...
% 1.89/1.05 % Runner terminated.
% 1.89/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------