TSTP Solution File: LCL859^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL859^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UxDmWT05qI true
% Computer : n008.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 09:02:25 EDT 2023
% Result : Theorem 0.58s 0.85s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 84 ( 23 unt; 11 typ; 0 def)
% Number of atoms : 411 ( 11 equ; 0 cnn)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 1098 ( 70 ~; 59 |; 76 &; 664 @)
% ( 5 <=>; 67 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 37 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 10 con; 0-2 aty)
% ( 157 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 229 ( 166 ^; 63 !; 0 ?; 229 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk6_type',type,
'#sk6': $i ).
thf(meuclidean_type,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf('#sk7_type',type,
'#sk7': $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#form5_type',type,
'#form5': $o ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk8_type',type,
'#sk8': $i ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(meuclidean,axiom,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ) ).
thf('0',plain,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[meuclidean]) ).
thf('1',plain,
( meuclidean
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X4 @ X8 ) )
=> ( V_1 @ X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(msymmetric,axiom,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ) ).
thf('2',plain,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[msymmetric]) ).
thf('3',plain,
( msymmetric
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_1 @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('4',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('5',plain,
( mreflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
! [R: $i > $i > $o] :
( ( ( mreflexive @ R )
& ( meuclidean @ R ) )
<=> ( ( mreflexive @ R )
& ( msymmetric @ R )
& ( meuclidean @ R ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ( ! [X8: $i,X10: $i,X12: $i] :
( ( ( X4 @ X8 @ X12 )
& ( X4 @ X8 @ X10 ) )
=> ( X4 @ X10 @ X12 ) )
& ! [X6: $i] : ( X4 @ X6 @ X6 ) )
<=> ( ! [X20: $i,X22: $i,X24: $i] :
( ( ( X4 @ X20 @ X24 )
& ( X4 @ X20 @ X22 ) )
=> ( X4 @ X22 @ X24 ) )
& ! [X16: $i,X18: $i] :
( ( X4 @ X16 @ X18 )
=> ( X4 @ X18 @ X16 ) )
& ! [X14: $i] : ( X4 @ X14 @ X14 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ( ! [X8: $i,X10: $i,X12: $i] :
( ( ( X4 @ X8 @ X12 )
& ( X4 @ X8 @ X10 ) )
=> ( X4 @ X10 @ X12 ) )
& ! [X6: $i] : ( X4 @ X6 @ X6 ) )
<=> ( ! [X20: $i,X22: $i,X24: $i] :
( ( ( X4 @ X20 @ X24 )
& ( X4 @ X20 @ X22 ) )
=> ( X4 @ X22 @ X24 ) )
& ! [X16: $i,X18: $i] :
( ( X4 @ X16 @ X18 )
=> ( X4 @ X18 @ X16 ) )
& ! [X14: $i] : ( X4 @ X14 @ X14 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) )
<=> ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) )
<=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) )
!= ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
( ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl30,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl31,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ ( $true
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl32,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl33,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ '#sk2' @ Y1 )
& ( '#sk1' @ '#sk2' @ Y0 ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl34,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
& ( '#sk1' @ '#sk2' @ '#sk3' ) )
=> ( '#sk1' @ '#sk3' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl35,plain,
( ~ ( ( ( '#sk1' @ '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk2' @ '#sk3' ) )
=> ( '#sk1' @ '#sk3' @ '#sk4' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl37,plain,
( ~ ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl37_001,plain,
( ~ ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl40,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl42,plain,
( ~ '#form5'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ ( '#sk1' @ '#sk3' @ '#sk4' ) ),
inference(renaming,[status(thm)],[zip_derived_cl37,zip_derived_cl40]) ).
thf(zip_derived_cl45,plain,
( ~ ( '#sk1' @ '#sk7' @ '#sk7' )
| ~ ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl2_002,plain,
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) )
!= ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) )
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
( ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl49,plain,
( ~ ( '#sk1' @ '#sk3' @ '#sk4' )
| ~ '#form5' ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl12]) ).
thf(zip_derived_cl40_003,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl41,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk6' @ Y0 )
=> ( '#sk1' @ Y0 @ '#sk6' ) ) )
| '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl46,plain,
( ~ ( ( '#sk1' @ '#sk6' @ '#sk8' )
=> ( '#sk1' @ '#sk8' @ '#sk6' ) )
| '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl50,plain,
( ( '#sk1' @ '#sk6' @ '#sk8' )
| '#form5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl12_004,plain,
! [X2: $i] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl5,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
| ( $false
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ X2 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ X2 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( '#sk1' @ X2 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( '#sk1' @ X2 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( '#sk1' @ X1 @ X0 )
| ~ ( '#sk1' @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl16]) ).
thf(zip_derived_cl70,plain,
( '#form5'
| ( '#sk1' @ '#sk8' @ '#sk6' ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl17]) ).
thf(zip_derived_cl51,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk6' )
| '#form5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl74,plain,
'#form5',
inference(clc,[status(thm)],[zip_derived_cl70,zip_derived_cl51]) ).
thf(zip_derived_cl75,plain,
~ ( '#sk1' @ '#sk3' @ '#sk4' ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl74]) ).
thf(zip_derived_cl36,plain,
( ( ( '#sk1' @ '#sk2' @ '#sk4' )
& ( '#sk1' @ '#sk2' @ '#sk3' ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl39,plain,
( ( '#sk1' @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl40_005,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl44,plain,
( ~ '#form5'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ( '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(renaming,[status(thm)],[zip_derived_cl39,zip_derived_cl40]) ).
thf(zip_derived_cl48,plain,
( ~ ( '#sk1' @ '#sk7' @ '#sk7' )
| ( '#sk1' @ '#sk2' @ '#sk3' )
| ~ '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl12_006,plain,
! [X2: $i] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl53,plain,
( ( '#sk1' @ '#sk2' @ '#sk3' )
| ~ '#form5' ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl12]) ).
thf(zip_derived_cl74_007,plain,
'#form5',
inference(clc,[status(thm)],[zip_derived_cl70,zip_derived_cl51]) ).
thf(zip_derived_cl77,plain,
'#sk1' @ '#sk2' @ '#sk3',
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl74]) ).
thf(zip_derived_cl38,plain,
( ( '#sk1' @ '#sk2' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl40_008,plain,
( '#form5'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl43,plain,
( ~ '#form5'
| ~ ( !!
@ ^ [Y0: $i] : ( '#sk1' @ Y0 @ Y0 ) )
| ( '#sk1' @ '#sk2' @ '#sk4' ) ),
inference(renaming,[status(thm)],[zip_derived_cl38,zip_derived_cl40]) ).
thf(zip_derived_cl47,plain,
( ~ ( '#sk1' @ '#sk7' @ '#sk7' )
| ( '#sk1' @ '#sk2' @ '#sk4' )
| ~ '#form5' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl12_009,plain,
! [X2: $i] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl52,plain,
( ( '#sk1' @ '#sk2' @ '#sk4' )
| ~ '#form5' ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl12]) ).
thf(zip_derived_cl74_010,plain,
'#form5',
inference(clc,[status(thm)],[zip_derived_cl70,zip_derived_cl51]) ).
thf(zip_derived_cl76,plain,
'#sk1' @ '#sk2' @ '#sk4',
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl74]) ).
thf(zip_derived_cl16_011,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl81,plain,
! [X0: $i] :
( ( '#sk1' @ X0 @ '#sk4' )
| ~ ( '#sk1' @ '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl16]) ).
thf(zip_derived_cl97,plain,
'#sk1' @ '#sk3' @ '#sk4',
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl81]) ).
thf(zip_derived_cl112,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL859^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UxDmWT05qI true
% 0.14/0.35 % Computer : n008.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 : Thu Aug 24 18:51:47 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
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.85 % Solved by lams/20_acsne_simpl.sh.
% 0.58/0.85 % done 39 iterations in 0.038s
% 0.58/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.85 % SZS output start Refutation
% See solution above
% 0.58/0.85
% 0.58/0.85
% 0.58/0.85 % Terminating...
% 0.59/0.97 % Runner terminated.
% 0.59/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------