TSTP Solution File: SEV028^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV028^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UuqJ75Y9KF true
% Computer : n027.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 19:59:20 EDT 2023
% Result : Theorem 1.10s 0.88s
% Output : Refutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 80 ( 20 unt; 10 typ; 0 def)
% Number of atoms : 346 ( 18 equ; 0 cnn)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 928 ( 70 ~; 59 |; 61 &; 541 @)
% ( 21 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 10 con; 0-2 aty)
% ( 98 !!; 16 ??; 0 @@+; 0 @@-)
% Number of variables : 192 ( 114 ^; 68 !; 10 ?; 192 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk1_type',type,
'#sk1': a > a > $o ).
thf('#sk26_type',type,
'#sk26': a ).
thf('#form19_type',type,
'#form19': $o ).
thf('#sk2_type',type,
'#sk2': a ).
thf('#sk25_type',type,
'#sk25': a ).
thf(cQ_type,type,
cQ: a > a > $o ).
thf('#sk5_type',type,
'#sk5': a ).
thf('#sk3_type',type,
'#sk3': a ).
thf('#sk20_type',type,
'#sk20': a ).
thf(cTHM558_pme,conjecture,
( ( ! [Xx: a] :
? [Xp: a > $o] :
( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( Xq @ Xx )
& ! [Xx0: a] :
( ( Xq @ Xx0 )
=> ! [Xy: a] :
( ( Xq @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ? [Xz: a] : ( Xq @ Xz ) )
=> ( Xq = Xp ) ) )
& ! [Xp: a > $o] :
( ( ! [Xx: a] :
( ( Xp @ Xx )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx @ Xy ) ) )
& ? [Xz: a] : ( Xp @ Xz ) )
=> ? [Xz: a] : ( Xp @ Xz ) ) )
=> ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xy @ Xz )
& ( cQ @ Xx @ Xy ) )
=> ( cQ @ Xx @ Xz ) )
& ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: a] : ( cQ @ Xx @ Xx ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [Xx: a] :
? [Xp: a > $o] :
( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( Xq @ Xx )
& ! [Xx0: a] :
( ( Xq @ Xx0 )
=> ! [Xy: a] :
( ( Xq @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ? [Xz: a] : ( Xq @ Xz ) )
=> ( Xq = Xp ) ) )
& ! [Xp: a > $o] :
( ( ! [Xx: a] :
( ( Xp @ Xx )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx @ Xy ) ) )
& ? [Xz: a] : ( Xp @ Xz ) )
=> ? [Xz: a] : ( Xp @ Xz ) ) )
=> ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xy @ Xz )
& ( cQ @ Xx @ Xy ) )
=> ( cQ @ Xx @ Xz ) )
& ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: a] : ( cQ @ Xx @ Xx ) ) ),
inference('cnf.neg',[status(esa)],[cTHM558_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
<=> ( cQ @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
<=> ( cQ @ Y3 @ Y4 ) ) ) ) )
& ( ??
@ ^ [Y3: a] : ( Y2 @ Y3 ) ) )
=> ( Y2 = Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( cQ @ Y1 @ Y2 ) ) ) ) )
& ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( cQ @ Y1 @ Y2 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
<=> ( cQ @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
<=> ( cQ @ Y3 @ Y4 ) ) ) ) )
& ( ??
@ ^ [Y3: a] : ( Y2 @ Y3 ) ) )
=> ( Y2 = Y1 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( cQ @ Y1 @ Y2 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
<=> ( cQ @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
<=> ( cQ @ Y3 @ Y4 ) ) ) ) )
& ( ??
@ ^ [Y3: a] : ( Y2 @ Y3 ) ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X2: a] :
( ??
@ ^ [Y0: a > $o] :
( ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( cQ @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ X2 )
& ( !!
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X2 )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
<=> ( cQ @ Y2 @ Y3 ) ) ) ) )
& ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
! [X2: a] :
( ( ??
@ ^ [Y0: a] : ( '#sk1' @ X2 @ Y0 ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ X2 @ Y1 )
<=> ( cQ @ Y0 @ Y1 ) ) ) ) )
& ( '#sk1' @ X2 @ X2 )
& ( !!
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X2 )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( cQ @ Y1 @ Y2 ) ) ) ) )
& ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
=> ( Y0
= ( '#sk1' @ X2 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl9,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ X2 @ Y1 )
<=> ( cQ @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
=> ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
<=> ( cQ @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
<=> ( cQ @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl22,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X2 @ X6 )
<=> ( cQ @ X4 @ X6 ) )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl31,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X2 @ X6 )
= ( cQ @ X4 @ X6 ) )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl61,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl31]) ).
thf(zip_derived_cl61_001,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl31]) ).
thf(zip_derived_cl3,plain,
~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( cQ @ Y1 @ Y2 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( cQ @ Y1 @ Y2 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( cQ @ Y0 @ Y1 )
& ( cQ @ '#sk2' @ Y0 ) )
=> ( cQ @ '#sk2' @ Y1 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( cQ @ '#sk3' @ Y0 )
& ( cQ @ '#sk2' @ '#sk3' ) )
=> ( cQ @ '#sk2' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl17,plain,
( ~ ( ( ( cQ @ '#sk3' @ '#sk5' )
& ( cQ @ '#sk2' @ '#sk3' ) )
=> ( cQ @ '#sk2' @ '#sk5' ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl21,plain,
( ~ ( cQ @ '#sk2' @ '#sk5' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl21_002,plain,
( ~ ( cQ @ '#sk2' @ '#sk5' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl28,plain,
( '#form19'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl30,plain,
( ~ '#form19'
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference(renaming,[status(thm)],[zip_derived_cl21,zip_derived_cl28]) ).
thf(zip_derived_cl35,plain,
( ~ ( cQ @ '#sk25' @ '#sk25' )
| ~ ( cQ @ '#sk2' @ '#sk5' )
| ~ '#form19' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl75,plain,
( ~ ( '#sk1' @ '#sk25' @ '#sk25' )
| ~ '#form19'
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl35]) ).
thf(zip_derived_cl10_003,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl92,plain,
( ~ '#form19'
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl10]) ).
thf(zip_derived_cl98,plain,
( ~ ( '#sk1' @ '#sk2' @ '#sk5' )
| ~ '#form19' ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl92]) ).
thf(zip_derived_cl28_004,plain,
( '#form19'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl29,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( cQ @ '#sk20' @ Y0 )
=> ( cQ @ Y0 @ '#sk20' ) ) )
| '#form19' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl36,plain,
( ~ ( ( cQ @ '#sk20' @ '#sk26' )
=> ( cQ @ '#sk26' @ '#sk20' ) )
| '#form19' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl42,plain,
( ~ ( cQ @ '#sk26' @ '#sk20' )
| '#form19' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl61_005,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl31]) ).
thf(zip_derived_cl41,plain,
( ( cQ @ '#sk20' @ '#sk26' )
| '#form19' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl76,plain,
( ( '#sk1' @ '#sk20' @ '#sk26' )
| '#form19' ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl41]) ).
thf(zip_derived_cl31_006,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X2 @ X6 )
= ( cQ @ X4 @ X6 ) )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl96,plain,
! [X0: a] :
( '#form19'
| ( ( '#sk1' @ '#sk20' @ X0 )
= ( cQ @ '#sk26' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl31]) ).
thf(zip_derived_cl188,plain,
( ~ ( '#sk1' @ '#sk20' @ '#sk20' )
| '#form19'
| '#form19' ),
inference('sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl96]) ).
thf(zip_derived_cl10_007,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl199,plain,
( '#form19'
| '#form19' ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl10]) ).
thf(zip_derived_cl200,plain,
'#form19',
inference(simplify,[status(thm)],[zip_derived_cl199]) ).
thf(zip_derived_cl214,plain,
~ ( '#sk1' @ '#sk2' @ '#sk5' ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl200]) ).
thf(zip_derived_cl61_008,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl31]) ).
thf(zip_derived_cl20,plain,
( ( ( cQ @ '#sk3' @ '#sk5' )
& ( cQ @ '#sk2' @ '#sk3' ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl27,plain,
( ( cQ @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28_009,plain,
( '#form19'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl34,plain,
( ~ '#form19'
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ( cQ @ '#sk2' @ '#sk3' ) ),
inference(renaming,[status(thm)],[zip_derived_cl27,zip_derived_cl28]) ).
thf(zip_derived_cl40,plain,
( ~ ( cQ @ '#sk25' @ '#sk25' )
| ( cQ @ '#sk2' @ '#sk3' )
| ~ '#form19' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl73,plain,
( ~ ( '#sk1' @ '#sk25' @ '#sk25' )
| ~ '#form19'
| ( cQ @ '#sk2' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl40]) ).
thf(zip_derived_cl10_010,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl90,plain,
( ~ '#form19'
| ( cQ @ '#sk2' @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl10]) ).
thf(zip_derived_cl61_011,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl31]) ).
thf(zip_derived_cl100,plain,
( ( '#sk1' @ '#sk2' @ '#sk3' )
| ~ '#form19' ),
inference('sup+',[status(thm)],[zip_derived_cl90,zip_derived_cl61]) ).
thf(zip_derived_cl200_012,plain,
'#form19',
inference(simplify,[status(thm)],[zip_derived_cl199]) ).
thf(zip_derived_cl215,plain,
'#sk1' @ '#sk2' @ '#sk3',
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl200]) ).
thf(zip_derived_cl31_013,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X2 @ X6 )
= ( cQ @ X4 @ X6 ) )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl240,plain,
! [X0: a] :
( ( '#sk1' @ '#sk2' @ X0 )
= ( cQ @ '#sk3' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl31]) ).
thf(zip_derived_cl61_014,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl31]) ).
thf(zip_derived_cl26,plain,
( ( cQ @ '#sk3' @ '#sk5' )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28_015,plain,
( '#form19'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl33,plain,
( ~ '#form19'
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ( cQ @ '#sk3' @ '#sk5' ) ),
inference(renaming,[status(thm)],[zip_derived_cl26,zip_derived_cl28]) ).
thf(zip_derived_cl39,plain,
( ~ ( cQ @ '#sk25' @ '#sk25' )
| ( cQ @ '#sk3' @ '#sk5' )
| ~ '#form19' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl74,plain,
( ~ ( '#sk1' @ '#sk25' @ '#sk25' )
| ~ '#form19'
| ( cQ @ '#sk3' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl39]) ).
thf(zip_derived_cl10_016,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl91,plain,
( ~ '#form19'
| ( cQ @ '#sk3' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl10]) ).
thf(zip_derived_cl200_017,plain,
'#form19',
inference(simplify,[status(thm)],[zip_derived_cl199]) ).
thf(zip_derived_cl212,plain,
cQ @ '#sk3' @ '#sk5',
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl200]) ).
thf(zip_derived_cl324,plain,
'#sk1' @ '#sk2' @ '#sk5',
inference('sup+',[status(thm)],[zip_derived_cl240,zip_derived_cl212]) ).
thf(zip_derived_cl348,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl324]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV028^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UuqJ75Y9KF true
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 03:00:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.63 % Total configuration time : 828
% 0.21/0.63 % Estimated wc time : 1656
% 0.21/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.10/0.84 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.10/0.88 % Solved by lams/20_acsne_simpl.sh.
% 1.10/0.88 % done 50 iterations in 0.077s
% 1.10/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.10/0.88 % SZS output start Refutation
% See solution above
% 1.10/0.88
% 1.10/0.88
% 1.10/0.88 % Terminating...
% 1.47/0.95 % Runner terminated.
% 1.47/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------