%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL867^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JPgRslCVvC true
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:37:30 PM UTC 2026
% Result : Theorem 3.29s 1.07s
% Output : Refutation 3.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 16
% Syntax : Number of formulae : 127 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 629 ( 11 equ; 0 cnn)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1619 ( 122 ~; 129 |; 96 &; 963 @)
% ( 5 <=>; 109 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 12 con; 0-2 aty)
% ( 195 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 298 ( 204 ^; 94 !; 0 ?; 298 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk4_type',type,
'#sk4': $i ).
thf(meuclidean_type,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf('#sk5_type',type,
'#sk5': $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#form2_type',type,
'#form2': $o ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf('#sk7_type',type,
'#sk7': $i ).
thf('#sk11_type',type,
'#sk11': $i ).
thf('#sk6_type',type,
'#sk6': $i ).
thf('#form10_type',type,
'#form10': $o ).
thf(mtransitive_type,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf('#sk8_type',type,
'#sk8': $i ).
thf('#sk9_type',type,
'#sk9': $i ).
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(mtransitive,axiom,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ) ).
thf('2',plain,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mtransitive]) ).
thf('3',plain,
( mtransitive
= ( ^ [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(msymmetric,axiom,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ) ).
thf('4',plain,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[msymmetric]) ).
thf('5',plain,
( msymmetric
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_1 @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
! [R: $i > $i > $o] :
( ( ( msymmetric @ R )
& ( meuclidean @ R ) )
<=> ( ( mtransitive @ R )
& ( msymmetric @ R ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ( ! [X10: $i,X12: $i,X14: $i] :
( ( ( X4 @ X10 @ X14 )
& ( X4 @ X10 @ X12 ) )
=> ( X4 @ X12 @ X14 ) )
& ! [X6: $i,X8: $i] :
( ( X4 @ X6 @ X8 )
=> ( X4 @ X8 @ X6 ) ) )
<=> ( ! [X22: $i,X24: $i] :
( ( X4 @ X22 @ X24 )
=> ( X4 @ X24 @ X22 ) )
& ! [X16: $i,X18: $i,X20: $i] :
( ( ( X4 @ X18 @ X20 )
& ( X4 @ X16 @ X18 ) )
=> ( X4 @ X16 @ X20 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ( ! [X10: $i,X12: $i,X14: $i] :
( ( ( X4 @ X10 @ X14 )
& ( X4 @ X10 @ X12 ) )
=> ( X4 @ X12 @ X14 ) )
& ! [X6: $i,X8: $i] :
( ( X4 @ X6 @ X8 )
=> ( X4 @ X8 @ X6 ) ) )
<=> ( ! [X22: $i,X24: $i] :
( ( X4 @ X22 @ X24 )
=> ( X4 @ X24 @ X22 ) )
& ! [X16: $i,X18: $i,X20: $i] :
( ( ( X4 @ X18 @ X20 )
& ( X4 @ X16 @ X18 ) )
=> ( X4 @ X16 @ X20 ) ) ) ),
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] :
( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
<=> ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ) ),
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] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) )
<=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
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] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) )
!= ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
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] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) )
| ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl42,plain,
( '#form2'
| ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl43,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl46,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk3' @ Y0 )
=> ( '#sk1' @ Y0 @ '#sk3' ) ) )
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl48,plain,
( ~ ( ( '#sk1' @ '#sk3' @ '#sk5' )
=> ( '#sk1' @ '#sk5' @ '#sk3' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl51,plain,
( ~ ( '#sk1' @ '#sk5' @ '#sk3' )
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl54,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ '#sk8' @ Y0 ) )
=> ( '#sk1' @ '#sk8' @ Y1 ) ) ) )
| '#form2'
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl58,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk9' @ Y0 )
& ( '#sk1' @ '#sk8' @ '#sk9' ) )
=> ( '#sk1' @ '#sk8' @ Y0 ) ) )
| ~ ( '#sk1' @ '#sk5' @ '#sk3' )
| '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl64,plain,
( ~ ( ( ( '#sk1' @ '#sk9' @ '#sk11' )
& ( '#sk1' @ '#sk8' @ '#sk9' ) )
=> ( '#sk1' @ '#sk8' @ '#sk11' ) )
| '#form2'
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl71,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk11' )
| ~ ( '#sk1' @ '#sk5' @ '#sk3' )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl4_001,plain,
( ~ ( ( !!
@ ^ [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] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl42_002,plain,
( '#form2'
| ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2_003,plain,
( ( ( !!
@ ^ [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] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
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] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) )
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( ( !!
@ ^ [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] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( ~ '#form2'
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl44,plain,
( ~ '#form2'
| ~ ( ( !!
@ ^ [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 ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl4,zip_derived_cl42,zip_derived_cl7]) ).
thf(zip_derived_cl45,plain,
( ~ ( !!
@ ^ [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 ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl47,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ '#sk4' @ Y1 )
& ( '#sk1' @ '#sk4' @ Y0 ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) )
| ~ '#form2'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl49,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk4' @ Y0 )
& ( '#sk1' @ '#sk4' @ '#sk6' ) )
=> ( '#sk1' @ '#sk6' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl52,plain,
( ~ ( ( ( '#sk1' @ '#sk4' @ '#sk7' )
& ( '#sk1' @ '#sk4' @ '#sk6' ) )
=> ( '#sk1' @ '#sk6' @ '#sk7' ) )
| ~ '#form2'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl55,plain,
( ( ( '#sk1' @ '#sk4' @ '#sk7' )
& ( '#sk1' @ '#sk4' @ '#sk6' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl55_004,plain,
( ( ( '#sk1' @ '#sk4' @ '#sk7' )
& ( '#sk1' @ '#sk4' @ '#sk6' ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl59,plain,
( '#form10'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl61,plain,
( ~ '#form10'
| ~ '#form2'
| ( ( '#sk1' @ '#sk4' @ '#sk7' )
& ( '#sk1' @ '#sk4' @ '#sk6' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl55,zip_derived_cl59]) ).
thf(zip_derived_cl66,plain,
( ( '#sk1' @ '#sk4' @ '#sk6' )
| ~ '#form2'
| ~ '#form10' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl59_005,plain,
( '#form10'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl60,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk3' @ Y0 )
=> ( '#sk1' @ Y0 @ '#sk3' ) ) )
| '#form10' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl67,plain,
( ~ ( ( '#sk1' @ '#sk3' @ '#sk5' )
=> ( '#sk1' @ '#sk5' @ '#sk3' ) )
| '#form10' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl72,plain,
( ( '#sk1' @ '#sk3' @ '#sk5' )
| '#form10' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl6,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ( $false
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl13,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i] :
( ( '#sk1' @ X2 @ X4 )
=> ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl21,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl101,plain,
( '#form10'
| ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl21]) ).
thf(zip_derived_cl73,plain,
( ~ ( '#sk1' @ '#sk5' @ '#sk3' )
| '#form10' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl106,plain,
'#form10',
inference(clc,[status(thm)],[zip_derived_cl101,zip_derived_cl73]) ).
thf(zip_derived_cl109,plain,
( ( '#sk1' @ '#sk4' @ '#sk6' )
| ~ '#form2' ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl106]) ).
thf(zip_derived_cl21_006,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl147,plain,
( ~ '#form2'
| ( '#sk1' @ '#sk6' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl21]) ).
thf(zip_derived_cl65,plain,
( ( '#sk1' @ '#sk4' @ '#sk7' )
| ~ '#form2'
| ~ '#form10' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl106_007,plain,
'#form10',
inference(clc,[status(thm)],[zip_derived_cl101,zip_derived_cl73]) ).
thf(zip_derived_cl108,plain,
( ( '#sk1' @ '#sk4' @ '#sk7' )
| ~ '#form2' ),
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl106]) ).
thf(zip_derived_cl7_008,plain,
( ~ '#form2'
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl9,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl16,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ X2 @ Y1 ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ X4 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ Y0 ) ) )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ X6 ) )
| ~ '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X2 @ X6 )
| ~ '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ~ '#form2'
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl111,plain,
! [X0: $i] :
( ~ '#form2'
| ( '#sk1' @ X0 @ '#sk7' )
| ~ '#form2'
| ~ ( '#sk1' @ X0 @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl28]) ).
thf(zip_derived_cl118,plain,
! [X0: $i] :
( ~ ( '#sk1' @ X0 @ '#sk4' )
| ( '#sk1' @ X0 @ '#sk7' )
| ~ '#form2' ),
inference(simplify,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl175,plain,
( ~ '#form2'
| ~ '#form2'
| ( '#sk1' @ '#sk6' @ '#sk7' ) ),
inference('sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl118]) ).
thf(zip_derived_cl179,plain,
( ( '#sk1' @ '#sk6' @ '#sk7' )
| ~ '#form2' ),
inference(simplify,[status(thm)],[zip_derived_cl175]) ).
thf(zip_derived_cl56,plain,
( ~ ( '#sk1' @ '#sk6' @ '#sk7' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
| ~ '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl59_009,plain,
( '#form10'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl62,plain,
( ~ '#form10'
| ~ '#form2'
| ~ ( '#sk1' @ '#sk6' @ '#sk7' ) ),
inference(renaming,[status(thm)],[zip_derived_cl56,zip_derived_cl59]) ).
thf(zip_derived_cl106_010,plain,
'#form10',
inference(clc,[status(thm)],[zip_derived_cl101,zip_derived_cl73]) ).
thf(zip_derived_cl107,plain,
( ~ '#form2'
| ~ ( '#sk1' @ '#sk6' @ '#sk7' ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl106]) ).
thf(zip_derived_cl208,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl179,zip_derived_cl107]) ).
thf(zip_derived_cl212,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk11' )
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl208]) ).
thf(zip_derived_cl50,plain,
( ( '#sk1' @ '#sk3' @ '#sk5' )
| '#form2'
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl53,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ '#sk8' @ Y0 ) )
=> ( '#sk1' @ '#sk8' @ Y1 ) ) ) )
| '#form2'
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl57,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk9' @ Y0 )
& ( '#sk1' @ '#sk8' @ '#sk9' ) )
=> ( '#sk1' @ '#sk8' @ Y0 ) ) )
| ( '#sk1' @ '#sk3' @ '#sk5' )
| '#form2' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl63,plain,
( ~ ( ( ( '#sk1' @ '#sk9' @ '#sk11' )
& ( '#sk1' @ '#sk8' @ '#sk9' ) )
=> ( '#sk1' @ '#sk8' @ '#sk11' ) )
| '#form2'
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl68,plain,
( ( ( '#sk1' @ '#sk9' @ '#sk11' )
& ( '#sk1' @ '#sk8' @ '#sk9' ) )
| ( '#sk1' @ '#sk3' @ '#sk5' )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl74,plain,
( ( '#sk1' @ '#sk9' @ '#sk11' )
| '#form2'
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl208_011,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl179,zip_derived_cl107]) ).
thf(zip_derived_cl213,plain,
( ( '#sk1' @ '#sk9' @ '#sk11' )
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl208]) ).
thf(zip_derived_cl21_012,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl249,plain,
( ( '#sk1' @ '#sk9' @ '#sk11' )
| ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl21]) ).
thf(zip_derived_cl70,plain,
( ( ( '#sk1' @ '#sk9' @ '#sk11' )
& ( '#sk1' @ '#sk8' @ '#sk9' ) )
| ~ ( '#sk1' @ '#sk5' @ '#sk3' )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl76,plain,
( ( '#sk1' @ '#sk9' @ '#sk11' )
| '#form2'
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl208_013,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl179,zip_derived_cl107]) ).
thf(zip_derived_cl245,plain,
( ( '#sk1' @ '#sk9' @ '#sk11' )
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl208]) ).
thf(zip_derived_cl313,plain,
'#sk1' @ '#sk9' @ '#sk11',
inference(clc,[status(thm)],[zip_derived_cl249,zip_derived_cl245]) ).
thf(zip_derived_cl75,plain,
( ( '#sk1' @ '#sk8' @ '#sk9' )
| '#form2'
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl208_014,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl179,zip_derived_cl107]) ).
thf(zip_derived_cl214,plain,
( ( '#sk1' @ '#sk8' @ '#sk9' )
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl208]) ).
thf(zip_derived_cl21_015,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl215,plain,
( ( '#sk1' @ '#sk8' @ '#sk9' )
| ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl21]) ).
thf(zip_derived_cl77,plain,
( ( '#sk1' @ '#sk8' @ '#sk9' )
| '#form2'
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl208_016,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl179,zip_derived_cl107]) ).
thf(zip_derived_cl246,plain,
( ( '#sk1' @ '#sk8' @ '#sk9' )
| ~ ( '#sk1' @ '#sk5' @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl208]) ).
thf(zip_derived_cl259,plain,
'#sk1' @ '#sk8' @ '#sk9',
inference(clc,[status(thm)],[zip_derived_cl215,zip_derived_cl246]) ).
thf(zip_derived_cl21_017,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl262,plain,
'#sk1' @ '#sk9' @ '#sk8',
inference('sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl21]) ).
thf(zip_derived_cl5_018,plain,
( ( !!
@ ^ [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] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7_019,plain,
( ~ '#form2'
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl10,plain,
( '#form2'
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ X2 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) )
| '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl18,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ X2 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X4 @ Y0 ) ) )
| '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( ( '#sk1' @ X2 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X4 @ X6 ) )
| '#form2' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( '#sk1' @ X2 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X4 @ X6 )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| '#form2'
| ( '#sk1' @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl208_020,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl179,zip_derived_cl107]) ).
thf(zip_derived_cl209,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X6 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl208]) ).
thf(zip_derived_cl273,plain,
! [X0: $i] :
( ( '#sk1' @ X0 @ '#sk8' )
| ~ ( '#sk1' @ '#sk9' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl209]) ).
thf(zip_derived_cl314,plain,
'#sk1' @ '#sk11' @ '#sk8',
inference('sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl273]) ).
thf(zip_derived_cl21_021,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl324,plain,
'#sk1' @ '#sk8' @ '#sk11',
inference('sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl21]) ).
thf(zip_derived_cl353,plain,
~ ( '#sk1' @ '#sk5' @ '#sk3' ),
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl324]) ).
thf(zip_derived_cl69,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk11' )
| ( '#sk1' @ '#sk3' @ '#sk5' )
| '#form2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl208_022,plain,
~ '#form2',
inference(clc,[status(thm)],[zip_derived_cl179,zip_derived_cl107]) ).
thf(zip_derived_cl211,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk11' )
| ( '#sk1' @ '#sk3' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl208]) ).
thf(zip_derived_cl324_023,plain,
'#sk1' @ '#sk8' @ '#sk11',
inference('sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl21]) ).
thf(zip_derived_cl352,plain,
'#sk1' @ '#sk3' @ '#sk5',
inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl324]) ).
thf(zip_derived_cl21_024,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl381,plain,
'#sk1' @ '#sk5' @ '#sk3',
inference('sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl21]) ).
thf(zip_derived_cl396,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl381]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL867^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JPgRslCVvC true
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 5 22:02:06 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 % Running portfolio for 300 s
% 0.11/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39 % Number of cores: 8
% 0.11/0.39 % Python version: Python 3.12.3
% 0.11/0.40 % Running in HO mode
% 0.37/0.62 % Total configuration time : 828
% 0.37/0.62 % Estimated wc time : 1656
% 0.37/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.44/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.44/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.44/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.44/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.44/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.44/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.46/0.82 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.46/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 3.29/1.07 % Solved by lams/20_acsne_simpl.sh.
% 3.29/1.07 % done 163 iterations in 0.169s
% 3.29/1.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.29/1.07 % SZS output start Refutation
% See solution above
% 3.29/1.08
% 3.29/1.08
% 3.29/1.08 % Terminating...
% 3.29/1.14 % Runner terminated.
% 0.17/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------