TSTP Solution File: SWV073^7 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV073^7 : 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.iJ4HmxdQ5Y true
% Computer : n031.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 00:07:31 EDT 2023
% Result : Theorem 1.50s 0.87s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 46
% Syntax : Number of formulae : 115 ( 30 unt; 24 typ; 0 def)
% Number of atoms : 561 ( 18 equ; 114 cnn)
% Maximal formula atoms : 45 ( 6 avg)
% Number of connectives : 1584 ( 249 ~; 228 |; 0 &;1036 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 23 usr; 17 con; 0-3 aty)
% ( 71 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 142 ( 107 ^; 35 !; 0 ?; 142 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(n5_type,type,
n5: mu ).
thf('#form5_type',type,
'#form5': $o ).
thf(n1_type,type,
n1: mu ).
thf(pv31_type,type,
pv31: mu ).
thf(rel_s4_type,type,
rel_s4: $i > $i > $o ).
thf(minus_type,type,
minus: mu > mu > mu ).
thf('#sk6_type',type,
'#sk6': $i ).
thf('#form7_type',type,
'#form7': $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(n135300_type,type,
n135300: mu ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk8_type',type,
'#sk8': $i ).
thf(pv35_type,type,
pv35: mu ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(n0_type,type,
n0: mu ).
thf(leq_type,type,
leq: mu > mu > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk4_type',type,
'#sk4': $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(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('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(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(cl5_nebula_array_0014,conjecture,
mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ~ ( ~ ! [X18: $i] :
( ~ ( rel_s4 @ X6 @ X18 )
| ( leq @ n0 @ pv35 @ X18 ) )
| ~ ! [X22: $i] :
( ~ ( rel_s4 @ X6 @ X22 )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ X22 ) )
| ~ ! [X20: $i] :
( ~ ( rel_s4 @ X6 @ X20 )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ X20 ) )
| ~ ! [X16: $i] :
( ~ ( rel_s4 @ X6 @ X16 )
| ( leq @ n0 @ pv31 @ X16 ) ) )
| ~ ! [X8: $i] :
( ~ ( rel_s4 @ X6 @ X8 )
| ( leq @ n0 @ pv31 @ X8 ) )
| ~ ! [X12: $i] :
( ~ ( rel_s4 @ X6 @ X12 )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ X12 ) )
| ~ ! [X14: $i] :
( ~ ( rel_s4 @ X6 @ X14 )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ X14 ) )
| ~ ! [X10: $i] :
( ~ ( rel_s4 @ X6 @ X10 )
| ( leq @ n0 @ pv35 @ X10 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ~ ( ~ ! [X18: $i] :
( ~ ( rel_s4 @ X6 @ X18 )
| ( leq @ n0 @ pv35 @ X18 ) )
| ~ ! [X22: $i] :
( ~ ( rel_s4 @ X6 @ X22 )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ X22 ) )
| ~ ! [X20: $i] :
( ~ ( rel_s4 @ X6 @ X20 )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ X20 ) )
| ~ ! [X16: $i] :
( ~ ( rel_s4 @ X6 @ X16 )
| ( leq @ n0 @ pv31 @ X16 ) ) )
| ~ ! [X8: $i] :
( ~ ( rel_s4 @ X6 @ X8 )
| ( leq @ n0 @ pv31 @ X8 ) )
| ~ ! [X12: $i] :
( ~ ( rel_s4 @ X6 @ X12 )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ X12 ) )
| ~ ! [X14: $i] :
( ~ ( rel_s4 @ X6 @ X14 )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ X14 ) )
| ~ ! [X10: $i] :
( ~ ( rel_s4 @ X6 @ X10 )
| ( leq @ n0 @ pv35 @ X10 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( leq @ n0 @ pv35 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( leq @ n0 @ pv31 @ Y2 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( leq @ n0 @ pv31 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( leq @ n0 @ pv35 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( leq @ n0 @ pv35 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( leq @ n0 @ pv31 @ Y1 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( leq @ n0 @ pv31 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( leq @ n0 @ pv35 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( (~) @ ( rel_s4 @ '#sk1' @ '#sk2' ) )
| ( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv35 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv35 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl4,plain,
( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv35 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv35 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl14,plain,
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ '#sk3' ) )
| ( leq @ n0 @ pv35 @ '#sk3' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl19,plain,
( ( rel_s4 @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl21,plain,
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ '#sk4' ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
( ~ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' )
| ( rel_s4 @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
( ( rel_s4 @ '#sk2' @ '#sk4' )
| ( rel_s4 @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl28,plain,
( '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl31,plain,
( ~ '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ '#sk3' )
| ~ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' ) ),
inference(renaming,[status(thm)],[zip_derived_cl24,zip_derived_cl28]) ).
thf(zip_derived_cl20,plain,
( ~ ( leq @ n0 @ pv35 @ '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl22,plain,
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ '#sk4' ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) )
| ~ ( leq @ n0 @ pv35 @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl25,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl38,plain,
( ~ '#form5'
| ~ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' )
| ( rel_s4 @ '#sk2' @ '#sk3' )
| ~ '#form7' ),
inference(renaming,[status(thm)],[zip_derived_cl31,zip_derived_cl25]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( leq @ n0 @ pv31 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl15,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( leq @ n0 @ pv31 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl25_001,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl26,plain,
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ '#sk6' ) )
| ( leq @ n0 @ pv31 @ '#sk6' ) )
| '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl34,plain,
( ~ ( leq @ n0 @ pv31 @ '#sk6' )
| '#form5' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl41,plain,
( ~ ( rel_s4 @ '#sk2' @ '#sk6' )
| '#form5' ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl34]) ).
thf(zip_derived_cl33,plain,
( ( rel_s4 @ '#sk2' @ '#sk6' )
| '#form5' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl49,plain,
'#form5',
inference(clc,[status(thm)],[zip_derived_cl41,zip_derived_cl33]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl16,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl28_002,plain,
( '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl29,plain,
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ '#sk8' ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ '#sk8' ) )
| '#form7' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl37,plain,
( ~ ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ '#sk8' )
| '#form7' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl45,plain,
( ~ ( rel_s4 @ '#sk2' @ '#sk8' )
| '#form7' ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl37]) ).
thf(zip_derived_cl36,plain,
( ( rel_s4 @ '#sk2' @ '#sk8' )
| '#form7' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl51,plain,
'#form7',
inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl36]) ).
thf(zip_derived_cl64,plain,
( ~ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' )
| ( rel_s4 @ '#sk2' @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl49,zip_derived_cl51]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv35 @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl13,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( leq @ n0 @ pv35 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( leq @ n0 @ pv35 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl22_003,plain,
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ '#sk4' ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) )
| ~ ( leq @ n0 @ pv35 @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl25_004,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl27,plain,
( ~ '#form5'
| ~ ( leq @ n0 @ pv35 @ '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ '#sk4' ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl22,zip_derived_cl25]) ).
thf(zip_derived_cl28_005,plain,
( '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl32,plain,
( ~ '#form7'
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ '#sk4' ) )
| ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' ) )
| ~ ( leq @ n0 @ pv35 @ '#sk3' )
| ~ '#form5' ),
inference(renaming,[status(thm)],[zip_derived_cl27,zip_derived_cl28]) ).
thf(zip_derived_cl40,plain,
( ~ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' )
| ~ '#form5'
| ~ ( leq @ n0 @ pv35 @ '#sk3' )
| ~ '#form7' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl49_006,plain,
'#form5',
inference(clc,[status(thm)],[zip_derived_cl41,zip_derived_cl33]) ).
thf(zip_derived_cl50,plain,
( ~ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' )
| ~ ( leq @ n0 @ pv35 @ '#sk3' )
| ~ '#form7' ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl49]) ).
thf(zip_derived_cl51_007,plain,
'#form7',
inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl36]) ).
thf(zip_derived_cl53,plain,
( ~ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' )
| ~ ( leq @ n0 @ pv35 @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl51]) ).
thf(zip_derived_cl54,plain,
( ~ ( rel_s4 @ '#sk2' @ '#sk3' )
| ~ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl53]) ).
thf(zip_derived_cl65,plain,
~ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) @ '#sk4' ),
inference(clc,[status(thm)],[zip_derived_cl64,zip_derived_cl54]) ).
thf(zip_derived_cl66,plain,
~ ( rel_s4 @ '#sk2' @ '#sk4' ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl65]) ).
thf(zip_derived_cl39,plain,
( ( rel_s4 @ '#sk2' @ '#sk4' )
| ~ '#form5'
| ~ ( leq @ n0 @ pv35 @ '#sk3' )
| ~ '#form7' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl49_008,plain,
'#form5',
inference(clc,[status(thm)],[zip_derived_cl41,zip_derived_cl33]) ).
thf(zip_derived_cl51_009,plain,
'#form7',
inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl36]) ).
thf(zip_derived_cl58,plain,
( ( rel_s4 @ '#sk2' @ '#sk4' )
| ~ ( leq @ n0 @ pv35 @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl49,zip_derived_cl51]) ).
thf(zip_derived_cl18_010,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( leq @ n0 @ pv35 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl59,plain,
( ( rel_s4 @ '#sk2' @ '#sk4' )
| ~ ( rel_s4 @ '#sk2' @ '#sk3' ) ),
inference('sup+',[status(thm)],[zip_derived_cl58,zip_derived_cl18]) ).
thf(zip_derived_cl23_011,plain,
( ( rel_s4 @ '#sk2' @ '#sk4' )
| ( rel_s4 @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl28_012,plain,
( '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ pv31 @ ( minus @ n5 @ n1 ) @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl30,plain,
( ~ '#form7'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ '#sk3' )
| ( rel_s4 @ '#sk2' @ '#sk4' ) ),
inference(renaming,[status(thm)],[zip_derived_cl23,zip_derived_cl28]) ).
thf(zip_derived_cl25_013,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( leq @ n0 @ pv31 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl35,plain,
( ~ '#form5'
| ( rel_s4 @ '#sk2' @ '#sk4' )
| ( rel_s4 @ '#sk2' @ '#sk3' )
| ~ '#form7' ),
inference(renaming,[status(thm)],[zip_derived_cl30,zip_derived_cl25]) ).
thf(zip_derived_cl49_014,plain,
'#form5',
inference(clc,[status(thm)],[zip_derived_cl41,zip_derived_cl33]) ).
thf(zip_derived_cl51_015,plain,
'#form7',
inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl36]) ).
thf(zip_derived_cl52,plain,
( ( rel_s4 @ '#sk2' @ '#sk4' )
| ( rel_s4 @ '#sk2' @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl49,zip_derived_cl51]) ).
thf(zip_derived_cl63,plain,
rel_s4 @ '#sk2' @ '#sk4',
inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl52]) ).
thf(zip_derived_cl68,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV073^7 : TPTP v8.1.2. Released v5.5.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iJ4HmxdQ5Y true
% 0.13/0.35 % Computer : n031.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 : Tue Aug 29 08:19:58 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.62 % Total configuration time : 828
% 0.21/0.62 % Estimated wc time : 1656
% 0.21/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.40/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.50/0.87 % Solved by lams/20_acsne_simpl.sh.
% 1.50/0.87 % done 18 iterations in 0.058s
% 1.50/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.50/0.87 % SZS output start Refutation
% See solution above
% 1.50/0.87
% 1.50/0.87
% 1.50/0.87 % Terminating...
% 1.78/1.00 % Runner terminated.
% 1.82/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------