TSTP Solution File: SEV218^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV218^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9n7NoiWzNV true
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:00:03 EDT 2023
% Result : Theorem 1.39s 0.85s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 80 ( 19 unt; 10 typ; 0 def)
% Number of atoms : 291 ( 10 equ; 0 cnn)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 741 ( 72 ~; 62 |; 29 &; 452 @)
% ( 10 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 10 con; 0-2 aty)
% ( 72 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 140 ( 78 ^; 58 !; 4 ?; 140 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk3_type',type,
'#sk3': a ).
thf('#sk2_type',type,
'#sk2': a ).
thf('#sk5_type',type,
'#sk5': a ).
thf('#sk8_type',type,
'#sk8': a ).
thf('#form6_type',type,
'#form6': $o ).
thf('#sk9_type',type,
'#sk9': a ).
thf(cQ_type,type,
cQ: a > a > $o ).
thf('#sk7_type',type,
'#sk7': a ).
thf('#sk1_type',type,
'#sk1': a > a > $o ).
thf(cTHM559A_pme,conjecture,
( ? [Xf: a > a > $o] :
! [Xx: a] :
( ? [Xz: a] : ( Xf @ Xx @ Xz )
& ! [Xx_0: a] :
( ( Xf @ Xx @ Xx_0 )
=> ! [Xy: a] :
( ( Xf @ Xx @ Xy )
<=> ( cQ @ Xx_0 @ Xy ) ) )
& ( Xf @ Xx @ Xx ) )
=> ( ! [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,
~ ( ? [Xf: a > a > $o] :
! [Xx: a] :
( ? [Xz: a] : ( Xf @ Xx @ Xz )
& ! [Xx_0: a] :
( ( Xf @ Xx @ Xx_0 )
=> ! [Xy: a] :
( ( Xf @ Xx @ Xy )
<=> ( cQ @ Xx_0 @ Xy ) ) )
& ( Xf @ Xx @ Xx ) )
=> ( ! [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)],[cTHM559A_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( ??
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a] : ( Y0 @ Y1 @ Y2 ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y1 @ Y3 )
<=> ( cQ @ Y2 @ Y3 ) ) ) ) )
& ( Y0 @ Y1 @ 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 > a > $o] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a] : ( Y0 @ Y1 @ Y2 ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y1 @ Y3 )
<=> ( cQ @ Y2 @ Y3 ) ) ) ) )
& ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a] : ( '#sk1' @ Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y0 @ Y2 )
<=> ( cQ @ Y1 @ Y2 ) ) ) ) )
& ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: a] :
( ( ??
@ ^ [Y0: a] : ( '#sk1' @ X2 @ Y0 ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ X2 @ Y1 )
<=> ( cQ @ Y0 @ Y1 ) ) ) ) )
& ( '#sk1' @ X2 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ X2 @ Y1 )
<=> ( cQ @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
=> ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
<=> ( cQ @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl14,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
<=> ( cQ @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X2 @ X6 )
<=> ( cQ @ X4 @ X6 ) )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl23,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X2 @ X6 )
= ( cQ @ X4 @ X6 ) )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl33,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl23]) ).
thf(zip_derived_cl33_001,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl23]) ).
thf(zip_derived_cl2,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_cl0]) ).
thf(zip_derived_cl4,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_cl2]) ).
thf(zip_derived_cl6,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_cl4]) ).
thf(zip_derived_cl10,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_cl6]) ).
thf(zip_derived_cl13,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_cl10]) ).
thf(zip_derived_cl16,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_cl13]) ).
thf(zip_derived_cl16_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_cl13]) ).
thf(zip_derived_cl20,plain,
( '#form6'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl22,plain,
( ~ '#form6'
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference(renaming,[status(thm)],[zip_derived_cl16,zip_derived_cl20]) ).
thf(zip_derived_cl26,plain,
( ~ ( cQ @ '#sk8' @ '#sk8' )
| ~ ( cQ @ '#sk2' @ '#sk5' )
| ~ '#form6' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl47,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk8' )
| ~ '#form6'
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl26]) ).
thf(zip_derived_cl9_003,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl64,plain,
( ~ '#form6'
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl9]) ).
thf(zip_derived_cl68,plain,
( ~ ( '#sk1' @ '#sk2' @ '#sk5' )
| ~ '#form6' ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl64]) ).
thf(zip_derived_cl20_004,plain,
( '#form6'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl21,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( cQ @ '#sk7' @ Y0 )
=> ( cQ @ Y0 @ '#sk7' ) ) )
| '#form6' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl27,plain,
( ~ ( ( cQ @ '#sk7' @ '#sk9' )
=> ( cQ @ '#sk9' @ '#sk7' ) )
| '#form6' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl31,plain,
( ~ ( cQ @ '#sk9' @ '#sk7' )
| '#form6' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl33_005,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl23]) ).
thf(zip_derived_cl30,plain,
( ( cQ @ '#sk7' @ '#sk9' )
| '#form6' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl48,plain,
( ( '#sk1' @ '#sk7' @ '#sk9' )
| '#form6' ),
inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl30]) ).
thf(zip_derived_cl23_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_cl17]) ).
thf(zip_derived_cl76,plain,
! [X0: a] :
( '#form6'
| ( ( '#sk1' @ '#sk7' @ X0 )
= ( cQ @ '#sk9' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl23]) ).
thf(zip_derived_cl99,plain,
( ~ ( '#sk1' @ '#sk7' @ '#sk7' )
| '#form6'
| '#form6' ),
inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl76]) ).
thf(zip_derived_cl9_007,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl108,plain,
( '#form6'
| '#form6' ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl9]) ).
thf(zip_derived_cl109,plain,
'#form6',
inference(simplify,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl119,plain,
~ ( '#sk1' @ '#sk2' @ '#sk5' ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl109]) ).
thf(zip_derived_cl33_008,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl23]) ).
thf(zip_derived_cl15,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_cl13]) ).
thf(zip_derived_cl19,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_cl15]) ).
thf(zip_derived_cl20_009,plain,
( '#form6'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl25,plain,
( ~ '#form6'
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ( cQ @ '#sk2' @ '#sk3' ) ),
inference(renaming,[status(thm)],[zip_derived_cl19,zip_derived_cl20]) ).
thf(zip_derived_cl29,plain,
( ~ ( cQ @ '#sk8' @ '#sk8' )
| ( cQ @ '#sk2' @ '#sk3' )
| ~ '#form6' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl45,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk8' )
| ~ '#form6'
| ( cQ @ '#sk2' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl29]) ).
thf(zip_derived_cl9_010,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl62,plain,
( ~ '#form6'
| ( cQ @ '#sk2' @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl9]) ).
thf(zip_derived_cl33_011,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl23]) ).
thf(zip_derived_cl78,plain,
( ( '#sk1' @ '#sk2' @ '#sk3' )
| ~ '#form6' ),
inference('sup+',[status(thm)],[zip_derived_cl62,zip_derived_cl33]) ).
thf(zip_derived_cl109_012,plain,
'#form6',
inference(simplify,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl120,plain,
'#sk1' @ '#sk2' @ '#sk3',
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl109]) ).
thf(zip_derived_cl33_013,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl23]) ).
thf(zip_derived_cl18,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_cl15]) ).
thf(zip_derived_cl20_014,plain,
( '#form6'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl24,plain,
( ~ '#form6'
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ( cQ @ '#sk3' @ '#sk5' ) ),
inference(renaming,[status(thm)],[zip_derived_cl18,zip_derived_cl20]) ).
thf(zip_derived_cl28,plain,
( ~ ( cQ @ '#sk8' @ '#sk8' )
| ( cQ @ '#sk3' @ '#sk5' )
| ~ '#form6' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl46,plain,
( ~ ( '#sk1' @ '#sk8' @ '#sk8' )
| ~ '#form6'
| ( cQ @ '#sk3' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl28]) ).
thf(zip_derived_cl9_015,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl63,plain,
( ~ '#form6'
| ( cQ @ '#sk3' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl9]) ).
thf(zip_derived_cl109_016,plain,
'#form6',
inference(simplify,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl117,plain,
cQ @ '#sk3' @ '#sk5',
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl109]) ).
thf(zip_derived_cl23_017,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X2 @ X6 )
= ( cQ @ X4 @ X6 ) )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl34,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk1' @ X2 @ X6 )
| ~ ( cQ @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl133,plain,
! [X0: a] :
( ~ ( '#sk1' @ X0 @ '#sk3' )
| ( '#sk1' @ X0 @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl34]) ).
thf(zip_derived_cl201,plain,
'#sk1' @ '#sk2' @ '#sk5',
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl133]) ).
thf(zip_derived_cl213,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV218^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9n7NoiWzNV true
% 0.14/0.35 % Computer : n004.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 : Thu Aug 24 02:53:53 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
% 0.14/0.35 % Running in HO mode
% 0.20/0.68 % Total configuration time : 828
% 0.20/0.68 % Estimated wc time : 1656
% 0.20/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.21/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.21/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.39/0.85 % Solved by lams/20_acsne_simpl.sh.
% 1.39/0.85 % done 82 iterations in 0.045s
% 1.39/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.39/0.85 % SZS output start Refutation
% See solution above
% 1.39/0.86
% 1.39/0.86
% 1.39/0.86 % Terminating...
% 1.61/0.96 % Runner terminated.
% 1.90/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------