TSTP Solution File: SEV120^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV120^5 : 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.g8cdUfrYzi true
% Computer : n014.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 19:59:40 EDT 2023
% Result : Theorem 1.20s 0.85s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of formulae : 77 ( 8 unt; 9 typ; 0 def)
% Number of atoms : 377 ( 0 equ; 0 cnn)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 1239 ( 40 ~; 47 |; 102 &; 803 @)
% ( 0 <=>; 97 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 95 ( 95 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 6 con; 0-2 aty)
% ( 150 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 213 ( 150 ^; 63 !; 0 ?; 213 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk1_type',type,
'#sk1': ( a > a > $o ) > $o ).
thf('#sk88_type',type,
'#sk88': ( a > a > $o ) > a ).
thf('#sk4_type',type,
'#sk4': a ).
thf('#sk2_type',type,
'#sk2': a ).
thf('#sk5_type',type,
'#sk5': a > a > $o ).
thf('#sk46_type',type,
'#sk46': ( a > a > $o ) > a ).
thf('#sk3_type',type,
'#sk3': a ).
thf('#sk65_type',type,
'#sk65': ( a > a > $o ) > a ).
thf(cTHM70_pme,conjecture,
! [S: ( a > a > $o ) > $o,Xx: a,Xy: a,Xz: a] :
( ( ! [Xp: a > a > $o] :
( ( ( S @ Xp )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xy0 @ Xz0 )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xy @ Xz ) )
& ! [Xp: a > a > $o] :
( ( ( S @ Xp )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xy0 @ Xz0 )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xx @ Xy ) ) )
=> ! [Xp: a > a > $o] :
( ( ( S @ Xp )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xy0 @ Xz0 )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xx @ Xz ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [S: ( a > a > $o ) > $o,Xx: a,Xy: a,Xz: a] :
( ( ! [Xp: a > a > $o] :
( ( ( S @ Xp )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xy0 @ Xz0 )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xy @ Xz ) )
& ! [Xp: a > a > $o] :
( ( ( S @ Xp )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xy0 @ Xz0 )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xx @ Xy ) ) )
=> ! [Xp: a > a > $o] :
( ( ( S @ Xp )
& ! [Xx0: a,Xy0: a,Xz0: a] :
( ( ( Xp @ Xy0 @ Xz0 )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz0 ) ) )
=> ( Xp @ Xx @ Xz ) ) ),
inference('cnf.neg',[status(esa)],[cTHM70_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: ( a > a > $o ) > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( !!
@ ^ [Y4: a > a > $o] :
( ( ( Y0 @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y4: a > a > $o] :
( ( ( Y0 @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) ) )
=> ( Y4 @ Y1 @ Y2 ) ) ) )
=> ( !!
@ ^ [Y4: a > a > $o] :
( ( ( Y0 @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) ) )
=> ( Y4 @ Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) ) )
=> ( Y3 @ Y0 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) ) )
=> ( Y3 @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ '#sk2' @ Y0 ) ) ) )
=> ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ '#sk2' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: a] :
( ( ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 @ '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 @ '#sk2' @ '#sk3' ) ) ) )
=> ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 @ '#sk2' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
~ ( ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk3' @ '#sk4' ) ) )
& ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) ) )
=> ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk4' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
~ ( ( ( '#sk1' @ '#sk5' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) )
=> ( '#sk5' @ '#sk2' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl15,plain,
~ ( '#sk5' @ '#sk2' @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl5,plain,
( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk3' @ '#sk4' ) ) )
& ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: a > a > $o] :
( ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) )
=> ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
( ( ( '#sk1' @ '#sk5' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) )
=> ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
( ( '#sk1' @ '#sk5' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
'#sk1' @ '#sk5',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl69,plain,
( ( $true
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) )
=> ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl18]) ).
thf(zip_derived_cl70,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
=> ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl71,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl72,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk5' @ Y0 @ Y1 )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ Y0 ) )
=> ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ Y1 ) ) ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl73,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ Y0 )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ Y0 ) ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl74,plain,
( ~ ( ( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl75,plain,
( ( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl78,plain,
( ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl77,plain,
( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl19,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl22,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk5' @ Y0 @ Y1 )
& ( '#sk5' @ X2 @ Y0 ) )
=> ( '#sk5' @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl25,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( ( '#sk5' @ X4 @ Y0 )
& ( '#sk5' @ X2 @ X4 ) )
=> ( '#sk5' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl28,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk5' @ X4 @ X6 )
& ( '#sk5' @ X2 @ X4 ) )
=> ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl31,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( ( '#sk5' @ X4 @ X6 )
& ( '#sk5' @ X2 @ X4 ) )
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl36,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk5' @ X4 @ X6 )
| ~ ( '#sk5' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl97,plain,
! [X0: a] :
( ( '#sk5' @ '#sk2' @ '#sk3' )
| ( '#sk5' @ X0 @ ( '#sk88' @ '#sk5' ) )
| ~ ( '#sk5' @ X0 @ ( '#sk65' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl36]) ).
thf(zip_derived_cl141,plain,
( ( '#sk5' @ '#sk2' @ '#sk3' )
| ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl97]) ).
thf(zip_derived_cl143,plain,
( ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(simplify,[status(thm)],[zip_derived_cl141]) ).
thf(zip_derived_cl76,plain,
( ~ ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl145,plain,
'#sk5' @ '#sk2' @ '#sk3',
inference(clc,[status(thm)],[zip_derived_cl143,zip_derived_cl76]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ '#sk3' @ '#sk4' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: a > a > $o] :
( ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) )
=> ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
( ( ( '#sk1' @ '#sk5' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) )
=> ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl18_001,plain,
'#sk1' @ '#sk5',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl57,plain,
( ( $true
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) ) )
=> ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl18]) ).
thf(zip_derived_cl58,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
=> ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl59,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk5' @ Y1 @ Y2 )
& ( '#sk5' @ Y0 @ Y1 ) )
=> ( '#sk5' @ Y0 @ Y2 ) ) ) ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl60,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk5' @ Y0 @ Y1 )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ Y0 ) )
=> ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ Y1 ) ) ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl61,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ Y0 )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ Y0 ) ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl62,plain,
( ~ ( ( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) ) )
=> ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl63,plain,
( ( ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
& ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl66,plain,
( ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk65' @ '#sk5' ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl18_002,plain,
'#sk1' @ '#sk5',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl10_003,plain,
! [X2: a > a > $o] :
( ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) )
=> ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl16,plain,
! [X2: a > a > $o] :
( ~ ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl20,plain,
! [X2: a > a > $o] :
( ~ ( '#sk1' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl23,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( X2 @ Y0 @ Y1 )
& ( X2 @ ( '#sk46' @ X2 ) @ Y0 ) )
=> ( X2 @ ( '#sk46' @ X2 ) @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl26,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ( X2 @ ( '#sk65' @ X2 ) @ Y0 )
& ( X2 @ ( '#sk46' @ X2 ) @ ( '#sk65' @ X2 ) ) )
=> ( X2 @ ( '#sk46' @ X2 ) @ Y0 ) ) )
| ~ ( '#sk1' @ X2 )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl29,plain,
! [X2: a > a > $o] :
( ~ ( ( ( X2 @ ( '#sk65' @ X2 ) @ ( '#sk88' @ X2 ) )
& ( X2 @ ( '#sk46' @ X2 ) @ ( '#sk65' @ X2 ) ) )
=> ( X2 @ ( '#sk46' @ X2 ) @ ( '#sk88' @ X2 ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl32,plain,
! [X2: a > a > $o] :
( ( ( X2 @ ( '#sk65' @ X2 ) @ ( '#sk88' @ X2 ) )
& ( X2 @ ( '#sk46' @ X2 ) @ ( '#sk65' @ X2 ) ) )
| ~ ( '#sk1' @ X2 )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl37,plain,
! [X2: a > a > $o] :
( ( X2 @ ( '#sk65' @ X2 ) @ ( '#sk88' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl45,plain,
( ( '#sk5' @ '#sk3' @ '#sk4' )
| ( '#sk5' @ ( '#sk65' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl37]) ).
thf(zip_derived_cl36_004,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk5' @ X4 @ X6 )
| ~ ( '#sk5' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl55,plain,
! [X0: a] :
( ( '#sk5' @ '#sk3' @ '#sk4' )
| ( '#sk5' @ X0 @ ( '#sk88' @ '#sk5' ) )
| ~ ( '#sk5' @ X0 @ ( '#sk65' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl36]) ).
thf(zip_derived_cl132,plain,
( ( '#sk5' @ '#sk3' @ '#sk4' )
| ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl55]) ).
thf(zip_derived_cl135,plain,
( ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(simplify,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl64,plain,
( ~ ( '#sk5' @ ( '#sk46' @ '#sk5' ) @ ( '#sk88' @ '#sk5' ) )
| ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl137,plain,
'#sk5' @ '#sk3' @ '#sk4',
inference(clc,[status(thm)],[zip_derived_cl135,zip_derived_cl64]) ).
thf(zip_derived_cl36_005,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk5' @ X4 @ X6 )
| ~ ( '#sk5' @ X2 @ X4 )
| ( '#sk5' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl138,plain,
! [X0: a] :
( ( '#sk5' @ X0 @ '#sk4' )
| ~ ( '#sk5' @ X0 @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl36]) ).
thf(zip_derived_cl146,plain,
'#sk5' @ '#sk2' @ '#sk4',
inference('sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl138]) ).
thf(zip_derived_cl150,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV120^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.g8cdUfrYzi true
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 02:51:34 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.22/0.60 % Total configuration time : 828
% 0.22/0.60 % Estimated wc time : 1656
% 0.22/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.67 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.20/0.85 % Solved by lams/35_full_unif4.sh.
% 1.20/0.85 % done 37 iterations in 0.139s
% 1.20/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.20/0.85 % SZS output start Refutation
% See solution above
% 1.20/0.86
% 1.20/0.86
% 1.20/0.86 % Terminating...
% 1.64/0.93 % Runner terminated.
% 1.64/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------