TSTP Solution File: SEU468^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU468^1 : 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.XHkI6IY7VE true
% Computer : n020.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 19:13:13 EDT 2023
% Result : Theorem 1.42s 1.20s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 24
% Syntax : Number of formulae : 101 ( 14 unt; 14 typ; 0 def)
% Number of atoms : 537 ( 12 equ; 1 cnn)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 1431 ( 50 ~; 42 |; 74 &; 966 @)
% ( 0 <=>; 126 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 150 ( 150 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 5 con; 0-3 aty)
% ( 173 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 290 ( 194 ^; 96 !; 0 ?; 290 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk2_type',type,
'#sk2': $i > $i > $o ).
thf(subrel_type,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf('#sk5_type',type,
'#sk5': $i > $i > $o ).
thf('#sk117_type',type,
'#sk117': ( $i > $i > $o ) > $i ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf(mono_type,type,
mono: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(tc_type,type,
tc: ( $i > $i > $o ) > $i > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk30_type',type,
'#sk30': ( $i > $i > $o ) > $i ).
thf('#sk42_type',type,
'#sk42': ( $i > $i > $o ) > $i ).
thf(trans_type,type,
trans: ( $i > $i > $o ) > $o ).
thf('#sk67_type',type,
'#sk67': ( $i > $i > $o ) > $i ).
thf('#sk90_type',type,
'#sk90': ( $i > $i > $o ) > $i ).
thf(transitive_closure,axiom,
( tc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
! [S: $i > $i > $o] :
( ( ( trans @ S )
& ( subrel @ R @ S ) )
=> ( S @ X @ Y ) ) ) ) ).
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('4',plain,
( tc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
! [S: $i > $i > $o] :
( ( ( trans @ S )
& ( subrel @ R @ S ) )
=> ( S @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive_closure,'1','3']) ).
thf('5',plain,
( tc
= ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] :
! [X4: $i > $i > $o] :
( ( ( trans @ X4 )
& ( subrel @ V_1 @ X4 ) )
=> ( X4 @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(monotonic,axiom,
( mono
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o,S: $i > $i > $o] :
( ( subrel @ R @ S )
=> ( subrel @ ( F @ R ) @ ( F @ S ) ) ) ) ) ).
thf('6',plain,
( mono
= ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
! [R: $i > $i > $o,S: $i > $i > $o] :
( ( subrel @ R @ S )
=> ( subrel @ ( F @ R ) @ ( F @ S ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[monotonic,'3']) ).
thf('7',plain,
( mono
= ( ^ [V_1: ( $i > $i > $o ) > $i > $i > $o] :
! [X4: $i > $i > $o,X6: $i > $i > $o] :
( ( subrel @ X4 @ X6 )
=> ( subrel @ ( V_1 @ X4 ) @ ( V_1 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(transitive_closure_op_is_monotonic,conjecture,
mono @ tc ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i > $i > $o] :
( ! [X8: $i,X10: $i] :
( ( X4 @ X8 @ X10 )
=> ( X6 @ X8 @ X10 ) )
=> ! [X12: $i,X14: $i] :
( ! [X16: $i > $i > $o] :
( ( ! [X24: $i,X26: $i] :
( ( X4 @ X24 @ X26 )
=> ( X16 @ X24 @ X26 ) )
& ! [X18: $i,X20: $i,X22: $i] :
( ( ( X16 @ X20 @ X22 )
& ( X16 @ X18 @ X20 ) )
=> ( X16 @ X18 @ X22 ) ) )
=> ( X16 @ X12 @ X14 ) )
=> ! [X28: $i > $i > $o] :
( ( ! [X36: $i,X38: $i] :
( ( X6 @ X36 @ X38 )
=> ( X28 @ X36 @ X38 ) )
& ! [X30: $i,X32: $i,X34: $i] :
( ( ( X28 @ X32 @ X34 )
& ( X28 @ X30 @ X32 ) )
=> ( X28 @ X30 @ X34 ) ) )
=> ( X28 @ X12 @ X14 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i > $i > $o] :
( ! [X8: $i,X10: $i] :
( ( X4 @ X8 @ X10 )
=> ( X6 @ X8 @ X10 ) )
=> ! [X12: $i,X14: $i] :
( ! [X16: $i > $i > $o] :
( ( ! [X24: $i,X26: $i] :
( ( X4 @ X24 @ X26 )
=> ( X16 @ X24 @ X26 ) )
& ! [X18: $i,X20: $i,X22: $i] :
( ( ( X16 @ X20 @ X22 )
& ( X16 @ X18 @ X20 ) )
=> ( X16 @ X18 @ X22 ) ) )
=> ( X16 @ X12 @ X14 ) )
=> ! [X28: $i > $i > $o] :
( ( ! [X36: $i,X38: $i] :
( ( X6 @ X36 @ X38 )
=> ( X28 @ X36 @ X38 ) )
& ! [X30: $i,X32: $i,X34: $i] :
( ( ( X28 @ X32 @ X34 )
& ( X28 @ X30 @ X32 ) )
=> ( X28 @ X30 @ X34 ) ) )
=> ( X28 @ X12 @ X14 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i > $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
=> ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( !!
@ ^ [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 @ Y2 @ Y3 ) ) )
=> ( !!
@ ^ [Y4: $i > $i > $o] :
( ( ( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) )
& ( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( !!
@ ^ [Y7: $i] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( !!
@ ^ [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 @ Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y3: $i > $i > $o] :
( ( ( !!
@ ^ [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(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [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 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: $i > $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( '#sk2' @ 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_cl1]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [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 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: $i > $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( '#sk2' @ 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_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [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 @ '#sk3' @ Y0 ) ) )
=> ( !!
@ ^ [Y1: $i > $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( '#sk2' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 @ '#sk3' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,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 @ '#sk3' @ '#sk4' ) ) )
=> ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk3' @ '#sk4' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,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 @ '#sk3' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,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 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl15,plain,
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) )
=> ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl11,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk3' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) )
=> ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl19,plain,
~ ( '#sk5' @ '#sk3' @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl78,plain,
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl19]) ).
thf(zip_derived_cl79,plain,
( (~)
@ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl80,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl81,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl82,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ Y0 )
=> ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl83,plain,
( ~ ( ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) )
=> ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl85,plain,
( ~ ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl87,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk5' @ Y0 @ Y1 )
& ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ Y0 ) )
=> ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ Y1 ) ) ) )
| ~ ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl89,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk5' @ ( '#sk90' @ '#sk5' ) @ Y0 )
& ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk90' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ Y0 ) ) )
| ~ ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl91,plain,
( ~ ( ( ( '#sk5' @ ( '#sk90' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) )
& ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk90' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) ) )
| ~ ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl95,plain,
( ~ ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) )
| ~ ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl84,plain,
( ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl86,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk5' @ Y0 @ Y1 )
& ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ Y0 ) )
=> ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ Y1 ) ) ) )
| ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl88,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk5' @ ( '#sk90' @ '#sk5' ) @ Y0 )
& ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk90' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ Y0 ) ) )
| ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl90,plain,
( ~ ( ( ( '#sk5' @ ( '#sk90' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) )
& ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk90' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) ) )
| ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl92,plain,
( ( ( '#sk5' @ ( '#sk90' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) )
& ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk90' @ '#sk5' ) ) )
| ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl97,plain,
( ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk90' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl96,plain,
( ( '#sk5' @ ( '#sk90' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl18,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl22,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl25,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk5' @ Y0 @ Y1 )
& ( '#sk5' @ X2 @ Y0 ) )
=> ( '#sk5' @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( '#sk5' @ X4 @ Y0 )
& ( '#sk5' @ X2 @ X4 ) )
=> ( '#sk5' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( '#sk5' @ X4 @ X6 )
& ( '#sk5' @ X2 @ X4 ) )
=> ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl35,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( '#sk5' @ X4 @ X6 )
& ( '#sk5' @ X2 @ X4 ) )
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl38,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk5' @ X4 @ X6 )
| ~ ( '#sk5' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl108,plain,
! [X0: $i] :
( ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) )
| ( '#sk5' @ X0 @ ( '#sk117' @ '#sk5' ) )
| ~ ( '#sk5' @ X0 @ ( '#sk90' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl38]) ).
thf(zip_derived_cl162,plain,
( ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl108]) ).
thf(zip_derived_cl165,plain,
( ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl93,plain,
( ~ ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl238,plain,
'#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ),
inference(clc,[status(thm)],[zip_derived_cl165,zip_derived_cl93]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk2' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk2' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: $i,X4: $i] :
( ( '#sk1' @ X2 @ X4 )
=> ( '#sk2' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk2' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl239,plain,
'#sk2' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ),
inference('sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl9]) ).
thf(zip_derived_cl21,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl24,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ X2 @ Y0 )
=> ( '#sk5' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i] :
( ( '#sk2' @ X2 @ X4 )
=> ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl31,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk2' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl241,plain,
'#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ),
inference('sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl31]) ).
thf(zip_derived_cl243,plain,
~ ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl241]) ).
thf(zip_derived_cl97_001,plain,
( ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk90' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl9_002,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk2' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl102,plain,
( ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk90' @ '#sk5' ) )
| ( '#sk2' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl9]) ).
thf(zip_derived_cl31_003,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk2' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl149,plain,
( ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk90' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl31]) ).
thf(zip_derived_cl94,plain,
( ( ( '#sk5' @ ( '#sk90' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) )
& ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk90' @ '#sk5' ) ) )
| ~ ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl99,plain,
( ( '#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk90' @ '#sk5' ) )
| ~ ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl226,plain,
'#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk90' @ '#sk5' ),
inference(clc,[status(thm)],[zip_derived_cl149,zip_derived_cl99]) ).
thf(zip_derived_cl96_004,plain,
( ( '#sk5' @ ( '#sk90' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) )
| ( '#sk1' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl9_005,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk2' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl103,plain,
( ( '#sk5' @ ( '#sk90' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) )
| ( '#sk2' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl9]) ).
thf(zip_derived_cl31_006,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk2' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl153,plain,
( ( '#sk5' @ ( '#sk90' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) )
| ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl31]) ).
thf(zip_derived_cl98,plain,
( ( '#sk5' @ ( '#sk90' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ) )
| ~ ( '#sk5' @ ( '#sk30' @ '#sk5' ) @ ( '#sk42' @ '#sk5' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl229,plain,
'#sk5' @ ( '#sk90' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ),
inference(clc,[status(thm)],[zip_derived_cl153,zip_derived_cl98]) ).
thf(zip_derived_cl38_007,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk5' @ X4 @ X6 )
| ~ ( '#sk5' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl230,plain,
! [X0: $i] :
( ( '#sk5' @ X0 @ ( '#sk117' @ '#sk5' ) )
| ~ ( '#sk5' @ X0 @ ( '#sk90' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl38]) ).
thf(zip_derived_cl256,plain,
'#sk5' @ ( '#sk67' @ '#sk5' ) @ ( '#sk117' @ '#sk5' ),
inference('sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl230]) ).
thf(zip_derived_cl258,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU468^1 : 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.XHkI6IY7VE true
% 0.14/0.35 % Computer : n020.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 : Wed Aug 23 13:58:46 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/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
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.35/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.35/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.42/1.20 % Solved by lams/20_acsne_simpl.sh.
% 1.42/1.20 % done 51 iterations in 0.356s
% 1.42/1.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.42/1.20 % SZS output start Refutation
% See solution above
% 1.42/1.20
% 1.42/1.20
% 1.42/1.20 % Terminating...
% 1.80/1.27 % Runner terminated.
% 2.38/1.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------