TSTP Solution File: SEU464^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU464^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wM9iupoQI4 true
% Computer : n004.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 19:13:12 EDT 2023
% Result : Theorem 1.54s 0.95s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 17
% Syntax : Number of formulae : 75 ( 8 unt; 11 typ; 0 def)
% Number of atoms : 416 ( 6 equ; 1 cnn)
% Maximal formula atoms : 18 ( 6 avg)
% Number of connectives : 1138 ( 41 ~; 28 |; 76 &; 761 @)
% ( 0 <=>; 92 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 90 ( 90 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 5 con; 0-2 aty)
% ( 140 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 222 ( 149 ^; 73 !; 0 ?; 222 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk89_type',type,
'#sk89': ( $i > $i > $o ) > $i ).
thf(subrel_type,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk4_type',type,
'#sk4': $i > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf(trans_type,type,
trans: ( $i > $i > $o ) > $o ).
thf('#sk41_type',type,
'#sk41': ( $i > $i > $o ) > $i ).
thf('#sk29_type',type,
'#sk29': ( $i > $i > $o ) > $i ).
thf('#sk116_type',type,
'#sk116': ( $i > $i > $o ) > $i ).
thf('#sk66_type',type,
'#sk66': ( $i > $i > $o ) > $i ).
thf(transitive,axiom,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ) ).
thf('0',plain,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive]) ).
thf('1',plain,
( trans
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(subrel,axiom,
( subrel
= ( ^ [R: $i > $i > $o,S: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( S @ X @ Y ) ) ) ) ).
thf('2',plain,
( subrel
= ( ^ [R: $i > $i > $o,S: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( S @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subrel]) ).
thf('3',plain,
( subrel
= ( ^ [V_1: $i > $i > $o,V_2: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_2 @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(transitive_closure_is_transitive4,conjecture,
! [R: $i > $i > $o,X: $i,Y: $i,S: $i > $i > $o] :
( ( ( trans @ S )
& ( subrel @ R @ S )
& ! [S: $i > $i > $o] :
( ( ( trans @ S )
& ( subrel @ R @ S ) )
=> ( S @ X @ Y ) ) )
=> ( S @ X @ Y ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i,X8: $i,X10: $i > $i > $o] :
( ( ! [X22: $i > $i > $o] :
( ( ! [X30: $i,X32: $i] :
( ( X4 @ X30 @ X32 )
=> ( X22 @ X30 @ X32 ) )
& ! [X24: $i,X26: $i,X28: $i] :
( ( ( X22 @ X26 @ X28 )
& ( X22 @ X24 @ X26 ) )
=> ( X22 @ X24 @ X28 ) ) )
=> ( X22 @ X6 @ X8 ) )
& ! [X18: $i,X20: $i] :
( ( X4 @ X18 @ X20 )
=> ( X10 @ X18 @ X20 ) )
& ! [X12: $i,X14: $i,X16: $i] :
( ( ( X10 @ X14 @ X16 )
& ( X10 @ X12 @ X14 ) )
=> ( X10 @ X12 @ X16 ) ) )
=> ( X10 @ X6 @ X8 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i,X8: $i,X10: $i > $i > $o] :
( ( ! [X22: $i > $i > $o] :
( ( ! [X30: $i,X32: $i] :
( ( X4 @ X30 @ X32 )
=> ( X22 @ X30 @ X32 ) )
& ! [X24: $i,X26: $i,X28: $i] :
( ( ( X22 @ X26 @ X28 )
& ( X22 @ X24 @ X26 ) )
=> ( X22 @ X24 @ X28 ) ) )
=> ( X22 @ X6 @ X8 ) )
& ! [X18: $i,X20: $i] :
( ( X4 @ X18 @ X20 )
=> ( X10 @ X18 @ X20 ) )
& ! [X12: $i,X14: $i,X16: $i] :
( ( ( X10 @ X14 @ X16 )
& ( X10 @ X12 @ X14 ) )
=> ( X10 @ X12 @ X16 ) ) )
=> ( X10 @ X6 @ X8 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i > $i > $o] :
( ( ( !!
@ ^ [Y4: $i > $i > $o] :
( ( ( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) )
& ( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( !!
@ ^ [Y7: $i] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) ) )
=> ( Y4 @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( Y0 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) )
& ( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $i > $o] :
( ( ( !!
@ ^ [Y3: $i > $i > $o] :
( ( ( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( '#sk1' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) )
& ( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) ) )
=> ( Y3 @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $i > $o] :
( ( ( !!
@ ^ [Y2: $i > $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ '#sk2' @ Y0 ) ) )
& ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 @ '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i > $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 @ '#sk2' @ '#sk3' ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
~ ( ( ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ) )
=> ( '#sk4' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: $i > $i > $o] :
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) )
=> ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ) )
=> ( '#sk4' @ '#sk2' @ '#sk3' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl6,plain,
~ ( '#sk4' @ '#sk2' @ '#sk3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl41,plain,
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).
thf(zip_derived_cl42,plain,
( (~)
@ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl43,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl44,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl45,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ ( '#sk29' @ '#sk4' ) @ Y0 )
=> ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl46,plain,
( ~ ( ( '#sk1' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) )
=> ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl48,plain,
( ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl50,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk4' @ Y0 @ Y1 )
& ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ Y0 ) )
=> ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ Y1 ) ) ) )
| ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl52,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk4' @ ( '#sk89' @ '#sk4' ) @ Y0 )
& ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk89' @ '#sk4' ) ) )
=> ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ Y0 ) ) )
| ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl54,plain,
( ~ ( ( ( '#sk4' @ ( '#sk89' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ) )
& ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk89' @ '#sk4' ) ) )
=> ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ) ) )
| ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl58,plain,
( ~ ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ) )
| ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl47,plain,
( ( '#sk1' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl49,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk4' @ Y0 @ Y1 )
& ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ Y0 ) )
=> ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ Y1 ) ) ) )
| ( '#sk1' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl51,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk4' @ ( '#sk89' @ '#sk4' ) @ Y0 )
& ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk89' @ '#sk4' ) ) )
=> ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ Y0 ) ) )
| ( '#sk1' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl53,plain,
( ~ ( ( ( '#sk4' @ ( '#sk89' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ) )
& ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk89' @ '#sk4' ) ) )
=> ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ) ) )
| ( '#sk1' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl55,plain,
( ( ( '#sk4' @ ( '#sk89' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ) )
& ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk89' @ '#sk4' ) ) )
| ( '#sk1' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl60,plain,
( ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk89' @ '#sk4' ) )
| ( '#sk1' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk4' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i] :
( ( '#sk1' @ X2 @ X4 )
=> ( '#sk4' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk4' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl74,plain,
( ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk89' @ '#sk4' ) )
| ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl19]) ).
thf(zip_derived_cl57,plain,
( ( ( '#sk4' @ ( '#sk89' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ) )
& ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk89' @ '#sk4' ) ) )
| ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl62,plain,
( ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk89' @ '#sk4' ) )
| ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl123,plain,
'#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk89' @ '#sk4' ),
inference(clc,[status(thm)],[zip_derived_cl74,zip_derived_cl62]) ).
thf(zip_derived_cl59,plain,
( ( '#sk4' @ ( '#sk89' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ) )
| ( '#sk1' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl19_001,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk4' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl75,plain,
( ( '#sk4' @ ( '#sk89' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ) )
| ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl19]) ).
thf(zip_derived_cl61,plain,
( ( '#sk4' @ ( '#sk89' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ) )
| ~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl126,plain,
'#sk4' @ ( '#sk89' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ),
inference(clc,[status(thm)],[zip_derived_cl75,zip_derived_cl61]) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl14,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk4' @ Y0 @ Y1 )
& ( '#sk4' @ X2 @ Y0 ) )
=> ( '#sk4' @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( '#sk4' @ X4 @ Y0 )
& ( '#sk4' @ X2 @ X4 ) )
=> ( '#sk4' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( '#sk4' @ X4 @ X6 )
& ( '#sk4' @ X2 @ X4 ) )
=> ( '#sk4' @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( '#sk4' @ X4 @ X6 )
& ( '#sk4' @ X2 @ X4 ) )
| ( '#sk4' @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk4' @ X4 @ X6 )
| ~ ( '#sk4' @ X2 @ X4 )
| ( '#sk4' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl127,plain,
! [X0: $i] :
( ( '#sk4' @ X0 @ ( '#sk116' @ '#sk4' ) )
| ~ ( '#sk4' @ X0 @ ( '#sk89' @ '#sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl24]) ).
thf(zip_derived_cl129,plain,
'#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ),
inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl127]) ).
thf(zip_derived_cl132,plain,
~ ( '#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl129]) ).
thf(zip_derived_cl56,plain,
( ~ ( '#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ) )
| ( '#sk1' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl129_002,plain,
'#sk4' @ ( '#sk66' @ '#sk4' ) @ ( '#sk116' @ '#sk4' ),
inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl127]) ).
thf(zip_derived_cl131,plain,
'#sk1' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl129]) ).
thf(zip_derived_cl19_003,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk4' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl145,plain,
'#sk4' @ ( '#sk29' @ '#sk4' ) @ ( '#sk41' @ '#sk4' ),
inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl19]) ).
thf(zip_derived_cl147,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU464^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wM9iupoQI4 true
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 17:53:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.19/0.35 % Running in HO mode
% 0.20/0.64 % Total configuration time : 828
% 0.20/0.64 % Estimated wc time : 1656
% 0.20/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.54/0.95 % Solved by lams/20_acsne_simpl.sh.
% 1.54/0.95 % done 36 iterations in 0.132s
% 1.54/0.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.54/0.95 % SZS output start Refutation
% See solution above
% 1.54/0.96
% 1.54/0.96
% 1.54/0.96 % Terminating...
% 1.90/1.06 % Runner terminated.
% 1.90/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------