TSTP Solution File: SEV126^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV126^5 : 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.xvgb46LHjP true
% Computer : n021.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 19:59:41 EDT 2023
% Result : Theorem 0.59s 0.94s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 2 unt; 11 typ; 0 def)
% Number of atoms : 386 ( 0 equ; 1 cnn)
% Maximal formula atoms : 22 ( 7 avg)
% Number of connectives : 1248 ( 29 ~; 59 |; 59 &; 792 @)
% ( 0 <=>; 136 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 13 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 152 ( 152 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 10 usr; 6 con; 0-4 aty)
% ( 173 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 263 ( 173 ^; 90 !; 0 ?; 263 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk5_type',type,
'#sk5': a ).
thf('#sk70_type',type,
'#sk70': a > a > a > a > $o ).
thf('#sk6_type',type,
'#sk6': a > a > $o ).
thf('#sk29_type',type,
'#sk29': ( a > a > $o ) > a ).
thf('#sk3_type',type,
'#sk3': a > a > $o ).
thf('#sk1_type',type,
'#sk1': ( a > a > $o ) > $o ).
thf('#sk71_type',type,
'#sk71': a > a > a > a > $o ).
thf('#sk4_type',type,
'#sk4': a ).
thf('#sk19_type',type,
'#sk19': ( a > a > $o ) > a ).
thf('#sk2_type',type,
'#sk2': a > a > $o ).
thf(cTHM252B_pme,conjecture,
! [P: ( a > a > $o ) > $o,R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xp: a > a > $o] :
( ( ( P @ Xp )
& ! [Xx0: a,Xy0: a] :
( ( ( S @ Xx0 @ Xy0 )
| ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: a > a > $o] :
( ( ( P @ Xp )
& ! [Xx0: a,Xy0: a] :
( ( ! [Xp0: a > a > $o] :
( ( ( P @ Xp0 )
& ! [Xx1: a,Xy1: a] :
( ( S @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) ) )
=> ( Xp0 @ Xx0 @ Xy0 ) )
| ! [Xp0: a > a > $o] :
( ( ( P @ Xp0 )
& ! [Xx1: a,Xy1: a] :
( ( R @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) ) )
=> ( Xp0 @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [P: ( a > a > $o ) > $o,R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xp: a > a > $o] :
( ( ( P @ Xp )
& ! [Xx0: a,Xy0: a] :
( ( ( S @ Xx0 @ Xy0 )
| ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: a > a > $o] :
( ( ( P @ Xp )
& ! [Xx0: a,Xy0: a] :
( ( ! [Xp0: a > a > $o] :
( ( ( P @ Xp0 )
& ! [Xx1: a,Xy1: a] :
( ( S @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) ) )
=> ( Xp0 @ Xx0 @ Xy0 ) )
| ! [Xp0: a > a > $o] :
( ( ( P @ Xp0 )
& ! [Xx1: a,Xy1: a] :
( ( R @ Xx1 @ Xy1 )
=> ( Xp0 @ Xx1 @ Xy1 ) ) )
=> ( Xp0 @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) ) ),
inference('cnf.neg',[status(esa)],[cTHM252B_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: ( a > a > $o ) > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( !!
@ ^ [Y2: a > a > $o] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( !!
@ ^ [Y5: a > a > $o] :
( ( ( Y0 @ Y5 )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y2 @ Y6 @ Y7 )
| ( Y1 @ Y6 @ Y7 ) )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) )
=> ( !!
@ ^ [Y5: a > a > $o] :
( ( ( Y0 @ Y5 )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( !!
@ ^ [Y8: a > a > $o] :
( ( ( Y0 @ Y8 )
& ( !!
@ ^ [Y9: a] :
( !!
@ ^ [Y10: a] :
( ( Y2 @ Y9 @ Y10 )
=> ( Y8 @ Y9 @ Y10 ) ) ) ) )
=> ( Y8 @ Y6 @ Y7 ) ) )
| ( !!
@ ^ [Y8: a > a > $o] :
( ( ( Y0 @ Y8 )
& ( !!
@ ^ [Y9: a] :
( !!
@ ^ [Y10: a] :
( ( Y1 @ Y9 @ Y10 )
=> ( Y8 @ Y9 @ Y10 ) ) ) ) )
=> ( Y8 @ Y6 @ Y7 ) ) ) )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a > a > $o] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( !!
@ ^ [Y4: a > a > $o] :
( ( ( '#sk1' @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y1 @ Y5 @ Y6 )
| ( Y0 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) )
=> ( !!
@ ^ [Y4: a > a > $o] :
( ( ( '#sk1' @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( !!
@ ^ [Y7: a > a > $o] :
( ( ( '#sk1' @ Y7 )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( Y1 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) )
| ( !!
@ ^ [Y7: a > a > $o] :
( ( ( '#sk1' @ Y7 )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( Y0 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y0 @ Y4 @ Y5 )
| ( '#sk2' @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( !!
@ ^ [Y6: a > a > $o] :
( ( ( '#sk1' @ Y6 )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) )
| ( !!
@ ^ [Y6: a > a > $o] :
( ( ( '#sk1' @ Y6 )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( '#sk2' @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( '#sk3' @ Y3 @ Y4 )
| ( '#sk2' @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( !!
@ ^ [Y5: a > a > $o] :
( ( ( '#sk1' @ Y5 )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( '#sk3' @ Y6 @ Y7 )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) )
| ( !!
@ ^ [Y5: a > a > $o] :
( ( ( '#sk1' @ Y5 )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( '#sk2' @ Y6 @ Y7 )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: a] :
( ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk3' @ Y2 @ Y3 )
| ( '#sk2' @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ '#sk4' @ Y0 ) ) )
=> ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( !!
@ ^ [Y4: a > a > $o] :
( ( ( '#sk1' @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( '#sk3' @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) )
| ( !!
@ ^ [Y4: a > a > $o] :
( ( ( '#sk1' @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( '#sk2' @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ '#sk4' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
~ ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk3' @ Y1 @ Y2 )
| ( '#sk2' @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk4' @ '#sk5' ) ) )
=> ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk3' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
| ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk2' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk4' @ '#sk5' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk3' @ Y1 @ Y2 )
| ( '#sk2' @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk4' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X2: a > a > $o] :
( ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk3' @ Y0 @ Y1 )
| ( '#sk2' @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
( ( ( '#sk1' @ '#sk6' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk3' @ Y0 @ Y1 )
| ( '#sk2' @ Y0 @ Y1 ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk6' @ '#sk4' @ '#sk5' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl7,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk3' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
| ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( '#sk2' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk4' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
~ ( ( ( '#sk1' @ '#sk6' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk3' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk6' @ '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
( ( '#sk1' @ '#sk6' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk3' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
'#sk1' @ '#sk6',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl15,plain,
~ ( '#sk6' @ '#sk4' @ '#sk5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl81,plain,
( ( $true
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk3' @ Y0 @ Y1 )
| ( '#sk2' @ Y0 @ Y1 ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl17,zip_derived_cl15]) ).
thf(zip_derived_cl82,plain,
( (~)
@ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk3' @ Y0 @ Y1 )
| ( '#sk2' @ Y0 @ Y1 ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl83,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk3' @ Y0 @ Y1 )
| ( '#sk2' @ Y0 @ Y1 ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl84,plain,
~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk3' @ ( '#sk19' @ '#sk6' ) @ Y0 )
| ( '#sk2' @ ( '#sk19' @ '#sk6' ) @ Y0 ) )
=> ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl85,plain,
~ ( ( ( '#sk3' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) )
| ( '#sk2' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) )
=> ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl87,plain,
~ ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl86,plain,
( ( '#sk3' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) )
| ( '#sk2' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl88,plain,
( ( '#sk3' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) )
| ( '#sk2' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl18,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk3' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( '#sk2' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( '#sk6' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk3' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ X2 @ Y0 ) ) )
| ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk2' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ X2 @ Y0 ) ) ) )
=> ( '#sk6' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl22,plain,
! [X2: a,X4: a] :
( ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk3' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X2 @ X4 ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X2 @ X4 ) ) ) )
=> ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl25,plain,
! [X2: a,X4: a] :
( ~ ( ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk3' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X2 @ X4 ) ) )
| ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X2 @ X4 ) ) ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl27,plain,
! [X2: a,X4: a] :
( ~ ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk3' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X2 @ X4 ) ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl30,plain,
! [X2: a,X4: a] :
( ~ ( ( ( '#sk1' @ ( '#sk70' @ X2 @ X4 ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y0 @ Y1 )
=> ( '#sk70' @ X2 @ X4 @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk70' @ X2 @ X4 @ X2 @ X4 ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl34,plain,
! [X2: a,X4: a] :
( ~ ( '#sk70' @ X2 @ X4 @ X2 @ X4 )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl33,plain,
! [X2: a,X4: a] :
( ( ( '#sk1' @ ( '#sk70' @ X2 @ X4 ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y0 @ Y1 )
=> ( '#sk70' @ X2 @ X4 @ Y0 @ Y1 ) ) ) ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl38,plain,
! [X2: a,X4: a] :
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y0 @ Y1 )
=> ( '#sk70' @ X2 @ X4 @ Y0 @ Y1 ) ) ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl41,plain,
! [X2: a,X4: a,X6: a] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ X6 @ Y0 )
=> ( '#sk70' @ X2 @ X4 @ X6 @ Y0 ) ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl43,plain,
! [X2: a,X4: a,X6: a,X8: a] :
( ( ( '#sk3' @ X6 @ X8 )
=> ( '#sk70' @ X2 @ X4 @ X6 @ X8 ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl45,plain,
! [X2: a,X4: a,X6: a,X8: a] :
( ~ ( '#sk3' @ X6 @ X8 )
| ( '#sk70' @ X2 @ X4 @ X6 @ X8 )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl60,plain,
! [X0: a,X1: a] :
( ( '#sk6' @ X1 @ X0 )
| ( '#sk6' @ X1 @ X0 )
| ~ ( '#sk3' @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl45]) ).
thf(zip_derived_cl63,plain,
! [X0: a,X1: a] :
( ~ ( '#sk3' @ X1 @ X0 )
| ( '#sk6' @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl89,plain,
( ( '#sk2' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) )
| ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl63]) ).
thf(zip_derived_cl87_001,plain,
~ ( '#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl106,plain,
'#sk2' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ),
inference(clc,[status(thm)],[zip_derived_cl89,zip_derived_cl87]) ).
thf(zip_derived_cl28,plain,
! [X2: a,X4: a] :
( ~ ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X2 @ X4 ) ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
! [X2: a,X4: a] :
( ~ ( ( ( '#sk1' @ ( '#sk71' @ X2 @ X4 ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk71' @ X2 @ X4 @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk71' @ X2 @ X4 @ X2 @ X4 ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl36,plain,
! [X2: a,X4: a] :
( ~ ( '#sk71' @ X2 @ X4 @ X2 @ X4 )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl35,plain,
! [X2: a,X4: a] :
( ( ( '#sk1' @ ( '#sk71' @ X2 @ X4 ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk71' @ X2 @ X4 @ Y0 @ Y1 ) ) ) ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl40,plain,
! [X2: a,X4: a] :
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
=> ( '#sk71' @ X2 @ X4 @ Y0 @ Y1 ) ) ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl42,plain,
! [X2: a,X4: a,X6: a] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ X6 @ Y0 )
=> ( '#sk71' @ X2 @ X4 @ X6 @ Y0 ) ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl44,plain,
! [X2: a,X4: a,X6: a,X8: a] :
( ( ( '#sk2' @ X6 @ X8 )
=> ( '#sk71' @ X2 @ X4 @ X6 @ X8 ) )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl46,plain,
! [X2: a,X4: a,X6: a,X8: a] :
( ~ ( '#sk2' @ X6 @ X8 )
| ( '#sk71' @ X2 @ X4 @ X6 @ X8 )
| ( '#sk6' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl135,plain,
! [X0: a,X1: a] :
( ( '#sk6' @ X1 @ X0 )
| ( '#sk6' @ X1 @ X0 )
| ~ ( '#sk2' @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl46]) ).
thf(zip_derived_cl138,plain,
! [X0: a,X1: a] :
( ~ ( '#sk2' @ X1 @ X0 )
| ( '#sk6' @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl142,plain,
'#sk6' @ ( '#sk19' @ '#sk6' ) @ ( '#sk29' @ '#sk6' ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl138]) ).
thf(zip_derived_cl146,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV126^5 : 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.xvgb46LHjP true
% 0.14/0.35 % Computer : n021.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 02:16:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.65 % Total configuration time : 828
% 0.22/0.65 % Estimated wc time : 1656
% 0.22/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.93 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.59/0.94 % Solved by lams/35_full_unif4.sh.
% 0.59/0.94 % done 29 iterations in 0.122s
% 0.59/0.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.94 % SZS output start Refutation
% See solution above
% 0.59/0.94
% 0.59/0.94
% 0.59/0.94 % Terminating...
% 1.65/1.15 % Runner terminated.
% 1.65/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------