TSTP Solution File: LCL460^7 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL460^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ND8GGJnyrE true
% Computer : n015.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 08:59:50 EDT 2023
% Result : Theorem 252.80s 33.37s
% Output : Refutation 252.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 53
% Syntax : Number of formulae : 104 ( 34 unt; 21 typ; 0 def)
% Number of atoms : 712 ( 24 equ; 137 cnn)
% Maximal formula atoms : 48 ( 8 avg)
% Number of connectives : 1677 ( 214 ~; 197 |; 0 &;1057 @)
% ( 0 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 10 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 84 ( 84 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 20 usr; 6 con; 0-3 aty)
% ( 154 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 314 ( 207 ^; 107 !; 0 ?; 314 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(and_1_type,type,
and_1: $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(kn2_type,type,
kn2: $i > $o ).
thf(implies_type,type,
implies: mu > mu > mu ).
thf(is_a_theorem_type,type,
is_a_theorem: mu > $i > $o ).
thf(rel_s4_type,type,
rel_s4: $i > $i > $o ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
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('#form54_type',type,
'#form54': $i > $o ).
thf('#form56_type',type,
'#form56': $i > $o ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(exists_in_world_type,type,
exists_in_world: mu > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(and_type,type,
and: mu > mu > mu ).
thf('#sk57_type',type,
'#sk57': $i > $i ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('1',plain,
( mbox_s4
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_s4 @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('2',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('3',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(rosser_kn2,conjecture,
mvalid @ ( mbox_s4 @ kn2 ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ( kn2 @ X6 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ( kn2 @ X6 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( kn2 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl75,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( kn2 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl76,plain,
~ ( ( (~) @ ( rel_s4 @ '#sk1' @ '#sk2' ) )
| ( kn2 @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl78,plain,
~ ( kn2 @ '#sk2' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl76]) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] :
( ( exists_in_world @ X @ W )
=> ( Phi @ X @ W ) ) ) ) ).
thf('4',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('5',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(mimplies,axiom,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ) ).
thf('6',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('7',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(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('8',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('9',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'7','9']) ).
thf('11',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('12',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'7','9']) ).
thf('13',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(kn2,axiom,
( mvalid
@ ( mand
@ ( mbox_s4
@ ( mimplies @ ( mbox_s4 @ kn2 )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [P: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Q: mu] : ( mbox_s4 @ ( is_a_theorem @ ( implies @ ( and @ P @ Q ) @ P ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mimplies
@ ( mbox_s4
@ ( mforall_ind
@ ^ [P: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Q: mu] : ( mbox_s4 @ ( is_a_theorem @ ( implies @ ( and @ P @ Q ) @ P ) ) ) ) ) ) )
@ ( mbox_s4 @ kn2 ) ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
~ ( ~ ! [X20: $i] :
( ~ ( rel_s4 @ X4 @ X20 )
| ! [X32: $i] :
( ~ ( rel_s4 @ X20 @ X32 )
| ( kn2 @ X32 ) )
| ~ ! [X22: $i] :
( ~ ( rel_s4 @ X20 @ X22 )
| ! [X24: mu] :
( ( exists_in_world @ X24 @ X22 )
=> ! [X26: $i] :
( ~ ( rel_s4 @ X22 @ X26 )
| ! [X28: mu] :
( ( exists_in_world @ X28 @ X26 )
=> ! [X30: $i] :
( ~ ( rel_s4 @ X26 @ X30 )
| ( is_a_theorem @ ( implies @ ( and @ X24 @ X28 ) @ X24 ) @ X30 ) ) ) ) ) ) )
| ~ ! [X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ! [X10: $i] :
( ~ ( rel_s4 @ X6 @ X10 )
| ! [X12: mu] :
( ( exists_in_world @ X12 @ X10 )
=> ! [X14: $i] :
( ~ ( rel_s4 @ X10 @ X14 )
| ! [X16: mu] :
( ( exists_in_world @ X16 @ X14 )
=> ! [X18: $i] :
( ~ ( rel_s4 @ X14 @ X18 )
| ( is_a_theorem @ ( implies @ ( and @ X12 @ X16 ) @ X12 ) @ X18 ) ) ) ) ) )
| ~ ! [X8: $i] :
( ~ ( rel_s4 @ X6 @ X8 )
| ( kn2 @ X8 ) ) ) ) ).
thf(zip_derived_cl38,plain,
( !!
@ ^ [Y0: $i] :
( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( kn2 @ Y2 ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y4 )
=> ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y6 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y3 @ Y5 ) @ Y3 ) @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y4 )
=> ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y6 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y3 @ Y5 ) @ Y3 ) @ Y6 ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( kn2 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl4395,plain,
! [X2: $i] :
~ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( kn2 @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y3 ) )
| ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y3 )
=> ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y5 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y2 @ Y4 ) @ Y2 ) @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y3 ) )
| ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y3 )
=> ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y5 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y2 @ Y4 ) @ Y2 ) @ Y5 ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( kn2 @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl4396,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( kn2 @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y3 ) )
| ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y3 )
=> ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y5 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y2 @ Y4 ) @ Y2 ) @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl4395]) ).
thf(zip_derived_cl4398,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( rel_s4 @ X2 @ X4 ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( kn2 @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y1 @ Y3 ) @ Y1 ) @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4396]) ).
thf(zip_derived_cl4400,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_s4 @ X2 @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( kn2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y1 @ Y3 ) @ Y1 ) @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl4398]) ).
thf(and_1,axiom,
( mvalid
@ ( mand
@ ( mbox_s4
@ ( mimplies @ ( mbox_s4 @ and_1 )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Y: mu] : ( mbox_s4 @ ( is_a_theorem @ ( implies @ ( and @ X @ Y ) @ X ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mimplies
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Y: mu] : ( mbox_s4 @ ( is_a_theorem @ ( implies @ ( and @ X @ Y ) @ X ) ) ) ) ) ) )
@ ( mbox_s4 @ and_1 ) ) ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i] :
~ ( ~ ! [X20: $i] :
( ~ ( rel_s4 @ X4 @ X20 )
| ! [X32: $i] :
( ~ ( rel_s4 @ X20 @ X32 )
| ( and_1 @ X32 ) )
| ~ ! [X22: $i] :
( ~ ( rel_s4 @ X20 @ X22 )
| ! [X24: mu] :
( ( exists_in_world @ X24 @ X22 )
=> ! [X26: $i] :
( ~ ( rel_s4 @ X22 @ X26 )
| ! [X28: mu] :
( ( exists_in_world @ X28 @ X26 )
=> ! [X30: $i] :
( ~ ( rel_s4 @ X26 @ X30 )
| ( is_a_theorem @ ( implies @ ( and @ X24 @ X28 ) @ X24 ) @ X30 ) ) ) ) ) ) )
| ~ ! [X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ! [X10: $i] :
( ~ ( rel_s4 @ X6 @ X10 )
| ! [X12: mu] :
( ( exists_in_world @ X12 @ X10 )
=> ! [X14: $i] :
( ~ ( rel_s4 @ X10 @ X14 )
| ! [X16: mu] :
( ( exists_in_world @ X16 @ X14 )
=> ! [X18: $i] :
( ~ ( rel_s4 @ X14 @ X18 )
| ( is_a_theorem @ ( implies @ ( and @ X12 @ X16 ) @ X12 ) @ X18 ) ) ) ) ) )
| ~ ! [X8: $i] :
( ~ ( rel_s4 @ X6 @ X8 )
| ( and_1 @ X8 ) ) ) ) ).
thf(zip_derived_cl28,plain,
( !!
@ ^ [Y0: $i] :
( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( and_1 @ Y2 ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y4 )
=> ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y6 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y3 @ Y5 ) @ Y3 ) @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y4 )
=> ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y6 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y3 @ Y5 ) @ Y3 ) @ Y6 ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( and_1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl2106,plain,
! [X2: $i] :
~ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( and_1 @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y3 ) )
| ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y3 )
=> ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y5 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y2 @ Y4 ) @ Y2 ) @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y3 ) )
| ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y3 )
=> ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y5 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y2 @ Y4 ) @ Y2 ) @ Y5 ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( and_1 @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl2108,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y3 ) )
| ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y3 )
=> ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y5 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y2 @ Y4 ) @ Y2 ) @ Y5 ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( and_1 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2106]) ).
thf(zip_derived_cl2110,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( rel_s4 @ X2 @ X4 ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y1 @ Y3 ) @ Y1 ) @ Y4 ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( and_1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2108]) ).
thf(zip_derived_cl2112,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_s4 @ X2 @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y1 @ Y3 ) @ Y1 ) @ Y4 ) ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( and_1 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2110]) ).
thf(zip_derived_cl2116,plain,
! [X4: $i] :
( ~ ( '#form54' @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y1 @ Y3 ) @ Y1 ) @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2107,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( and_1 @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y3 ) )
| ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y3 )
=> ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y5 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y2 @ Y4 ) @ Y2 ) @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2106]) ).
thf(zip_derived_cl2109,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( rel_s4 @ X2 @ X4 ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( and_1 @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y1 @ Y3 ) @ Y1 ) @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2107]) ).
thf(zip_derived_cl2111,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_s4 @ X2 @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( and_1 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y1 @ Y3 ) @ Y1 ) @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2109]) ).
thf(zip_derived_cl2113,plain,
! [X4: $i] :
( ( '#form54' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y1 @ Y3 ) @ Y1 ) @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl4402,plain,
! [X2: $i,X4: $i] :
( ~ ( '#form54' @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( kn2 @ Y0 ) ) )
| ~ ( rel_s4 @ X2 @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl4400,zip_derived_cl2116,zip_derived_cl2113]) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('14',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('15',plain,
( mreflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(a1,axiom,
mreflexive @ rel_s4 ).
thf(zf_stmt_4,axiom,
! [X4: $i] : ( rel_s4 @ X4 @ X4 ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] : ( rel_s4 @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl79,plain,
! [X2: $i] : ( rel_s4 @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl2112_001,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_s4 @ X2 @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y1 @ Y3 ) @ Y1 ) @ Y4 ) ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( and_1 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2110]) ).
thf(zip_derived_cl2116_002,plain,
! [X4: $i] :
( ~ ( '#form54' @ X4 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y1 @ Y3 ) @ Y1 ) @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2113_003,plain,
! [X4: $i] :
( ( '#form54' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y4 ) )
| ( is_a_theorem @ ( implies @ ( and @ Y1 @ Y3 ) @ Y1 ) @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2118,plain,
! [X2: $i,X4: $i] :
( ( '#form54' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( and_1 @ Y0 ) ) )
| ~ ( rel_s4 @ X2 @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl2112,zip_derived_cl2116,zip_derived_cl2113]) ).
thf(zip_derived_cl2118_004,plain,
! [X2: $i,X4: $i] :
( ( '#form54' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( and_1 @ Y0 ) ) )
| ~ ( rel_s4 @ X2 @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl2112,zip_derived_cl2116,zip_derived_cl2113]) ).
thf(zip_derived_cl2122,plain,
! [X4: $i] :
( ( '#form56' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( and_1 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2124,plain,
! [X2: $i,X4: $i] :
( ~ ( '#form56' @ X4 )
| ~ ( rel_s4 @ X2 @ X4 )
| ( '#form54' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl2118,zip_derived_cl2122]) ).
thf(zip_derived_cl2122_005,plain,
! [X4: $i] :
( ( '#form56' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( and_1 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2123,plain,
! [X4: $i] :
( ~ ( ( (~) @ ( rel_s4 @ X4 @ ( '#sk57' @ X4 ) ) )
| ( and_1 @ ( '#sk57' @ X4 ) ) )
| ( '#form56' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2122]) ).
thf(zip_derived_cl79_006,plain,
! [X2: $i] : ( rel_s4 @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(hilbert_and_1,axiom,
mvalid @ ( mbox_s4 @ and_1 ) ).
thf(zf_stmt_5,axiom,
! [X4: $i,X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ( and_1 @ X6 ) ) ).
thf(zip_derived_cl61,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( and_1 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl476,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( and_1 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl477,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( rel_s4 @ X2 @ X4 ) )
| ( and_1 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl476]) ).
thf(zip_derived_cl478,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_s4 @ X2 @ X4 )
| ( and_1 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl477]) ).
thf(zip_derived_cl479,plain,
! [X0: $i] : ( and_1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl478]) ).
thf(zip_derived_cl2129,plain,
! [X4: $i] :
( ~ ( ( (~) @ ( rel_s4 @ X4 @ ( '#sk57' @ X4 ) ) )
| $true )
| ( '#form56' @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2123,zip_derived_cl479]) ).
thf(zip_derived_cl2130,plain,
! [X4: $i] : ( '#form56' @ X4 ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl2129]) ).
thf(zip_derived_cl2391,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_s4 @ X2 @ X4 )
| ( '#form54' @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2124,zip_derived_cl2130]) ).
thf(zip_derived_cl2392,plain,
! [X0: $i] : ( '#form54' @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl2391]) ).
thf(zip_derived_cl4404,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X4 @ Y0 ) )
| ( kn2 @ Y0 ) ) )
| ~ ( rel_s4 @ X2 @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl4402,zip_derived_cl2392]) ).
thf(zip_derived_cl4405,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( (~) @ ( rel_s4 @ X4 @ X6 ) )
| ( kn2 @ X6 )
| ~ ( rel_s4 @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4404]) ).
thf(zip_derived_cl4410,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ( kn2 @ X6 )
| ~ ( rel_s4 @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl4405]) ).
thf(zip_derived_cl4447,plain,
! [X0: $i] :
( ~ ( rel_s4 @ X0 @ X0 )
| ( kn2 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl4410]) ).
thf(zip_derived_cl79_007,plain,
! [X2: $i] : ( rel_s4 @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4448,plain,
! [X0: $i] : ( kn2 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl4447,zip_derived_cl79]) ).
thf(zip_derived_cl4449,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl4448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL460^7 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ND8GGJnyrE true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 17:43:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.69 % Total configuration time : 828
% 0.21/0.69 % Estimated wc time : 1656
% 0.21/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.67/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.67/0.78 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.67/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.67/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.67/0.81 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.67/0.83 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.67/0.84 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.95/0.84 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.95/0.88 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.96/0.94 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.07/1.39 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 235.37/31.10 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 237.17/31.40 % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s
% 237.17/31.54 % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s
% 252.80/33.37 % Solved by lams/15_lifting3.sh.
% 252.80/33.37 % done 318 iterations in 2.225s
% 252.80/33.37 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 252.80/33.37 % SZS output start Refutation
% See solution above
% 252.80/33.37
% 252.80/33.37
% 252.80/33.37 % Terminating...
% 253.27/33.48 % Runner terminated.
% 253.27/33.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------