%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU550^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.34RBc2XJoP 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 Oct 2 04:55:01 PM UTC 2025
% Result : Theorem 0.55s 0.83s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 88 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 380 ( 94 equ; 0 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 672 ( 86 ~; 89 |; 43 &; 287 @)
% ( 17 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 8 usr; 6 con; 0-2 aty)
% ( 52 !!; 32 ??; 0 @@+; 0 @@-)
% Number of variables : 157 ( 89 ^; 61 !; 7 ?; 157 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk2_type',type,
'#sk2': $i > $o ).
thf(exu_type,type,
exu: ( $i > $o ) > $o ).
thf('#sk3_type',type,
'#sk3': $i > $i ).
thf('#sk7_type',type,
'#sk7': $i ).
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf('#sk5_type',type,
'#sk5': $i > $i ).
thf('#sk6_type',type,
'#sk6': $i ).
thf('#form4_type',type,
'#form4': $o ).
thf(exu_def,axiom,
( exu
= ( ^ [Xphi: $i > $o] :
? [Xx: $i] :
( ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) )
& ( Xphi @ Xx ) ) ) ) ).
thf('0',plain,
( exu
= ( ^ [Xphi: $i > $o] :
? [Xx: $i] :
( ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) )
& ( Xphi @ Xx ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[exu_def]) ).
thf('1',plain,
( exu
= ( ^ [V_1: $i > $o] :
? [X4: $i] :
( ! [X6: $i] :
( ( V_1 @ X6 )
=> ( X4 = X6 ) )
& ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(exu__Cong,conjecture,
! [Xphi: $i > $o,Xpsi: $i > $o] :
( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( Xphi @ Xx )
<=> ( Xpsi @ Xy ) ) )
=> ( ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
<=> ( exu
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o,X6: $i > $o] :
( ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ( ( X4 @ X8 )
<=> ( X6 @ X10 ) ) )
=> ( ? [X12: $i] :
( ( X4 @ X12 )
& ! [X14: $i] :
( ( X4 @ X14 )
=> ( X12 = X14 ) ) )
<=> ? [X16: $i] :
( ( X6 @ X16 )
& ! [X18: $i] :
( ( X6 @ X18 )
=> ( X16 = X18 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o,X6: $i > $o] :
( ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ( ( X4 @ X8 )
<=> ( X6 @ X10 ) ) )
=> ( ? [X12: $i] :
( ( X4 @ X12 )
& ! [X14: $i] :
( ( X4 @ X14 )
=> ( X12 = X14 ) ) )
<=> ? [X16: $i] :
( ( X6 @ X16 )
& ! [X18: $i] :
( ( X6 @ X18 )
=> ( X16 = X18 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( Y2 = Y3 )
=> ( ( Y0 @ Y2 )
<=> ( Y1 @ Y3 ) ) ) ) )
=> ( ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y3 )
=> ( Y2 = Y3 ) ) ) ) )
<=> ( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 = Y3 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( Y1 = Y2 )
=> ( ( '#sk1' @ Y1 )
<=> ( Y0 @ Y2 ) ) ) ) )
=> ( ( ??
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y2 )
=> ( Y1 = Y2 ) ) ) ) )
<=> ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
=> ( ( '#sk1' @ Y0 )
<=> ( '#sk2' @ Y1 ) ) ) ) )
=> ( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) )
<=> ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
~ ( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) )
<=> ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) )
!= ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl19,plain,
( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl54,plain,
( ~ '#form4'
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl55,plain,
( ( ( '#sk2' @ '#sk6' )
& ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( '#sk6' = Y0 ) ) ) )
| ~ '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl58,plain,
( ( '#sk2' @ '#sk6' )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
=> ( ( '#sk1' @ Y0 )
<=> ( '#sk2' @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( X2 = Y0 )
=> ( ( '#sk1' @ X2 )
<=> ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: $i,X4: $i] :
( ( X2 = X4 )
=> ( ( '#sk1' @ X2 )
<=> ( '#sk2' @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X2: $i,X4: $i] :
( ( X2 != X4 )
| ( ( '#sk1' @ X2 )
<=> ( '#sk2' @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X4: $i] :
( ( X2 != X4 )
| ( ( '#sk1' @ X2 )
= ( '#sk2' @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X4: $i] :
( ( '#sk1' @ X4 )
= ( '#sk2' @ X4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X4: $i] :
( ( '#sk1' @ X4 )
| ~ ( '#sk2' @ X4 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl70,plain,
( ~ '#form4'
| ( '#sk1' @ '#sk6' ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl11]) ).
thf(zip_derived_cl19_001,plain,
( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl54_002,plain,
( ~ '#form4'
| ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6_003,plain,
( ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) )
!= ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl20,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) )
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl21,plain,
! [X2: $i] :
( ~ ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
=> ( X2 = Y0 ) ) ) )
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl22,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
=> ( X2 = Y0 ) ) )
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
! [X2: $i] :
( ~ ( ( '#sk1' @ ( '#sk3' @ X2 ) )
=> ( X2
= ( '#sk3' @ X2 ) ) )
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl24,plain,
! [X2: $i] :
( ( '#sk1' @ ( '#sk3' @ X2 ) )
| ~ ( '#sk1' @ X2 )
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl26,plain,
( '#form4'
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl56,plain,
( '#form4'
| ( ??
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl19,zip_derived_cl54,zip_derived_cl26]) ).
thf(zip_derived_cl57,plain,
( ( ( '#sk1' @ '#sk7' )
& ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
=> ( '#sk7' = Y0 ) ) ) )
| '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl60,plain,
( ( '#sk1' @ '#sk7' )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl10_004,plain,
! [X4: $i] :
( ( '#sk1' @ X4 )
= ( '#sk2' @ X4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl26_005,plain,
( '#form4'
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl27,plain,
! [X2: $i] :
( ~ ( ( '#sk2' @ X2 )
& ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( X2 = Y0 ) ) ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl31,plain,
! [X2: $i] :
( ~ ( '#sk2' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( X2 = Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl32,plain,
! [X2: $i] :
( ~ ( ( '#sk2' @ ( '#sk5' @ X2 ) )
=> ( X2
= ( '#sk5' @ X2 ) ) )
| '#form4'
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl33,plain,
! [X2: $i] :
( ( '#sk2' @ ( '#sk5' @ X2 ) )
| ~ ( '#sk2' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ~ ( '#sk1' @ X0 )
| '#form4'
| ( '#sk2' @ ( '#sk5' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl33]) ).
thf(zip_derived_cl78,plain,
( '#form4'
| ( '#sk2' @ ( '#sk5' @ '#sk7' ) )
| '#form4' ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl48]) ).
thf(zip_derived_cl86,plain,
( ( '#sk2' @ ( '#sk5' @ '#sk7' ) )
| '#form4' ),
inference(simplify,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl11_006,plain,
! [X4: $i] :
( ( '#sk1' @ X4 )
| ~ ( '#sk2' @ X4 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl169,plain,
( '#form4'
| ( '#sk1' @ ( '#sk5' @ '#sk7' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl11]) ).
thf(zip_derived_cl61,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
=> ( '#sk7' = Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl63,plain,
! [X2: $i] :
( ( ( '#sk1' @ X2 )
=> ( '#sk7' = X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl65,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ( '#sk7' = X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl67,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ( '#sk7' = X2 )
| '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl194,plain,
( '#form4'
| '#form4'
| ( '#sk7'
= ( '#sk5' @ '#sk7' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl67]) ).
thf(zip_derived_cl205,plain,
( ( '#sk7'
= ( '#sk5' @ '#sk7' ) )
| '#form4' ),
inference(simplify,[status(thm)],[zip_derived_cl194]) ).
thf(zip_derived_cl34,plain,
! [X2: $i] :
( ( X2
!= ( '#sk5' @ X2 ) )
| ~ ( '#sk2' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl35,plain,
! [X2: $i] :
( ( X2
!= ( '#sk5' @ X2 ) )
| ~ ( '#sk2' @ X2 )
| '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl210,plain,
( ( '#sk7' != '#sk7' )
| '#form4'
| '#form4'
| ~ ( '#sk2' @ '#sk7' ) ),
inference('sup-',[status(thm)],[zip_derived_cl205,zip_derived_cl35]) ).
thf(zip_derived_cl216,plain,
( ~ ( '#sk2' @ '#sk7' )
| '#form4' ),
inference(simplify,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl60_007,plain,
( ( '#sk1' @ '#sk7' )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl10_008,plain,
! [X4: $i] :
( ( '#sk1' @ X4 )
= ( '#sk2' @ X4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl12,plain,
! [X4: $i] :
( ~ ( '#sk1' @ X4 )
| ( '#sk2' @ X4 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl79,plain,
( '#form4'
| ( '#sk2' @ '#sk7' ) ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl12]) ).
thf(zip_derived_cl220,plain,
'#form4',
inference(clc,[status(thm)],[zip_derived_cl216,zip_derived_cl79]) ).
thf(zip_derived_cl228,plain,
'#sk1' @ '#sk6',
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl220]) ).
thf(zip_derived_cl24_009,plain,
! [X2: $i] :
( ( '#sk1' @ ( '#sk3' @ X2 ) )
| ~ ( '#sk1' @ X2 )
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl26_010,plain,
( '#form4'
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl28,plain,
! [X2: $i] :
( ~ '#form4'
| ~ ( '#sk1' @ X2 )
| ( '#sk1' @ ( '#sk3' @ X2 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl24,zip_derived_cl26]) ).
thf(zip_derived_cl59,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( '#sk6' = Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl62,plain,
! [X2: $i] :
( ( ( '#sk2' @ X2 )
=> ( '#sk6' = X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl64,plain,
! [X2: $i] :
( ~ ( '#sk2' @ X2 )
| ( '#sk6' = X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl66,plain,
! [X2: $i] :
( ~ ( '#sk2' @ X2 )
| ( '#sk6' = X2 )
| ~ '#form4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl10_011,plain,
! [X4: $i] :
( ( '#sk1' @ X4 )
= ( '#sk2' @ X4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl100,plain,
! [X0: $i] :
( ~ ( '#sk1' @ X0 )
| ~ '#form4'
| ( '#sk6' = X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl66,zip_derived_cl10]) ).
thf(zip_derived_cl118,plain,
! [X0: $i] :
( ~ ( '#sk1' @ X0 )
| ~ '#form4'
| ( '#sk6'
= ( '#sk3' @ X0 ) )
| ~ '#form4' ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl100]) ).
thf(zip_derived_cl126,plain,
! [X0: $i] :
( ( '#sk6'
= ( '#sk3' @ X0 ) )
| ~ '#form4'
| ~ ( '#sk1' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl220_012,plain,
'#form4',
inference(clc,[status(thm)],[zip_derived_cl216,zip_derived_cl79]) ).
thf(zip_derived_cl248,plain,
! [X0: $i] :
( ( '#sk6'
= ( '#sk3' @ X0 ) )
| ~ ( '#sk1' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl220]) ).
thf(zip_derived_cl249,plain,
( '#sk6'
= ( '#sk3' @ '#sk6' ) ),
inference('sup-',[status(thm)],[zip_derived_cl228,zip_derived_cl248]) ).
thf(zip_derived_cl58_013,plain,
( ( '#sk2' @ '#sk6' )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl10_014,plain,
! [X4: $i] :
( ( '#sk1' @ X4 )
= ( '#sk2' @ X4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl25,plain,
! [X2: $i] :
( ( X2
!= ( '#sk3' @ X2 ) )
| ~ ( '#sk1' @ X2 )
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl29,plain,
! [X2: $i] :
( ( X2
!= ( '#sk3' @ X2 ) )
| ~ ( '#sk1' @ X2 )
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl26_015,plain,
( '#form4'
| ~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 = Y1 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl30,plain,
! [X2: $i] :
( ~ '#form4'
| ~ ( '#sk1' @ X2 )
| ( X2
!= ( '#sk3' @ X2 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl29,zip_derived_cl26]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ~ ( '#sk2' @ X0 )
| ( X0
!= ( '#sk3' @ X0 ) )
| ~ '#form4' ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl30]) ).
thf(zip_derived_cl69,plain,
( ~ '#form4'
| ~ '#form4'
| ( '#sk6'
!= ( '#sk3' @ '#sk6' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl41]) ).
thf(zip_derived_cl76,plain,
( ( '#sk6'
!= ( '#sk3' @ '#sk6' ) )
| ~ '#form4' ),
inference(simplify,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl220_016,plain,
'#form4',
inference(clc,[status(thm)],[zip_derived_cl216,zip_derived_cl79]) ).
thf(zip_derived_cl229,plain,
( '#sk6'
!= ( '#sk3' @ '#sk6' ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl220]) ).
thf(zip_derived_cl253,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl249,zip_derived_cl229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU550^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.34RBc2XJoP true
% 0.13/0.34 % Computer : n020.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 Oct 1 16:01:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.52/0.65 % Total configuration time : 828
% 0.52/0.65 % Estimated wc time : 1656
% 0.52/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.83 % Solved by lams/20_acsne_simpl.sh.
% 0.55/0.83 % done 73 iterations in 0.046s
% 0.55/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.83 % SZS output start Refutation
% See solution above
% 0.55/0.83
% 0.55/0.83
% 0.55/0.83 % Terminating...
% 1.74/0.95 % Runner terminated.
% 1.78/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------