TSTP Solution File: SEV124^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV124^5 : 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.FHH6JukWuV true
% Computer : n017.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 14.52s 2.51s
% Output : Refutation 14.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 11
% Syntax : Number of formulae : 73 ( 5 unt; 10 typ; 0 def)
% Number of atoms : 403 ( 19 equ; 1 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 1301 ( 56 ~; 53 |; 103 &; 799 @)
% ( 0 <=>; 109 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 11 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 277 ( 277 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 9 usr; 7 con; 0-5 aty)
% ( 135 !!; 46 ??; 0 @@+; 0 @@-)
% Number of variables : 327 ( 221 ^; 100 !; 6 ?; 327 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk4_type',type,
'#sk4': a ).
thf('#sk43_type',type,
'#sk43': ( a > a > $o ) > a > a > $o ).
thf('#sk5_type',type,
'#sk5': a > a > $o ).
thf('#sk2_type',type,
'#sk2': ( a > a > $o ) > $o ).
thf('#sk26_type',type,
'#sk26': ( a > a > $o ) > a ).
thf('#sk3_type',type,
'#sk3': a ).
thf('#sk18_type',type,
'#sk18': ( a > a > $o ) > a ).
thf('#sk1_type',type,
'#sk1': ( a > a > $o ) > $o ).
thf('#sk11832_type',type,
'#sk11832': a > a > ( a > a > $o ) > a > a > $o ).
thf(cTHM254_A_pme,conjecture,
! [PROP: ( a > a > $o ) > $o,S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
( ! [Xp: a > a > $o] :
( ( ( PROP @ Xp )
& ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ( S @ R )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: a > a > $o] :
( ( ( PROP @ Xp )
& ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ? [Q: a > a > $o] :
( ( S @ Q )
& ( R
= ( ^ [Xx1: a,Xy1: a] :
! [Xp0: a > a > $o] :
( ( ( PROP @ Xp0 )
& ! [Xx2: a,Xy2: a] :
( ( Q @ Xx2 @ Xy2 )
=> ( Xp0 @ Xx2 @ Xy2 ) ) )
=> ( Xp0 @ Xx1 @ Xy1 ) ) ) ) )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [PROP: ( a > a > $o ) > $o,S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
( ! [Xp: a > a > $o] :
( ( ( PROP @ Xp )
& ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ( S @ R )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: a > a > $o] :
( ( ( PROP @ Xp )
& ! [Xx0: a,Xy0: a] :
( ? [R: a > a > $o] :
( ? [Q: a > a > $o] :
( ( S @ Q )
& ( R
= ( ^ [Xx1: a,Xy1: a] :
! [Xp0: a > a > $o] :
( ( ( PROP @ Xp0 )
& ! [Xx2: a,Xy2: a] :
( ( Q @ Xx2 @ Xy2 )
=> ( Xp0 @ Xx2 @ Xy2 ) ) )
=> ( Xp0 @ Xx1 @ Xy1 ) ) ) ) )
& ( R @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) ) ),
inference('cnf.neg',[status(esa)],[cTHM254_A_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: ( a > a > $o ) > $o] :
( !!
@ ^ [Y1: ( a > a > $o ) > $o] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( !!
@ ^ [Y4: a > a > $o] :
( ( ( Y0 @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ??
@ ^ [Y7: a > a > $o] :
( ( Y1 @ Y7 )
& ( Y7 @ Y5 @ Y6 ) ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) )
=> ( !!
@ ^ [Y4: a > a > $o] :
( ( ( Y0 @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ??
@ ^ [Y7: a > a > $o] :
( ( ??
@ ^ [Y8: a > a > $o] :
( ( Y1 @ Y8 )
& ( Y7
= ( ^ [Y9: a,Y10: a] :
( !!
@ ^ [Y11: a > a > $o] :
( ( ( Y0 @ Y11 )
& ( !!
@ ^ [Y12: a] :
( !!
@ ^ [Y13: a] :
( ( Y8 @ Y12 @ Y13 )
=> ( Y11 @ Y12 @ Y13 ) ) ) ) )
=> ( Y11 @ Y9 @ Y10 ) ) ) ) ) ) )
& ( Y7 @ Y5 @ Y6 ) ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: ( a > a > $o ) > $o] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ??
@ ^ [Y6: a > a > $o] :
( ( Y0 @ Y6 )
& ( Y6 @ Y4 @ Y5 ) ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ??
@ ^ [Y6: a > a > $o] :
( ( ??
@ ^ [Y7: a > a > $o] :
( ( Y0 @ Y7 )
& ( Y6
= ( ^ [Y8: a,Y9: a] :
( !!
@ ^ [Y10: a > a > $o] :
( ( ( '#sk1' @ Y10 )
& ( !!
@ ^ [Y11: a] :
( !!
@ ^ [Y12: a] :
( ( Y7 @ Y11 @ Y12 )
=> ( Y10 @ Y11 @ Y12 ) ) ) ) )
=> ( Y10 @ Y8 @ Y9 ) ) ) ) ) ) )
& ( Y6 @ Y4 @ Y5 ) ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ 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 > a > $o] :
( ( '#sk2' @ Y5 )
& ( Y5 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ??
@ ^ [Y5: a > a > $o] :
( ( ??
@ ^ [Y6: a > a > $o] :
( ( '#sk2' @ Y6 )
& ( Y5
= ( ^ [Y7: a,Y8: a] :
( !!
@ ^ [Y9: a > a > $o] :
( ( ( '#sk1' @ Y9 )
& ( !!
@ ^ [Y10: a] :
( !!
@ ^ [Y11: a] :
( ( Y6 @ Y10 @ Y11 )
=> ( Y9 @ Y10 @ Y11 ) ) ) ) )
=> ( Y9 @ Y7 @ Y8 ) ) ) ) ) ) )
& ( Y5 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ 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 > a > $o] :
( ( '#sk2' @ Y4 )
& ( Y4 @ Y2 @ Y3 ) ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ '#sk3' @ Y0 ) ) )
=> ( !!
@ ^ [Y1: a > a > $o] :
( ( ( '#sk1' @ Y1 )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ??
@ ^ [Y4: a > a > $o] :
( ( ??
@ ^ [Y5: a > a > $o] :
( ( '#sk2' @ Y5 )
& ( Y4
= ( ^ [Y6: a,Y7: a] :
( !!
@ ^ [Y8: a > a > $o] :
( ( ( '#sk1' @ Y8 )
& ( !!
@ ^ [Y9: a] :
( !!
@ ^ [Y10: a] :
( ( Y5 @ Y9 @ Y10 )
=> ( Y8 @ Y9 @ Y10 ) ) ) ) )
=> ( Y8 @ Y6 @ Y7 ) ) ) ) ) ) )
& ( Y4 @ Y2 @ Y3 ) ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ '#sk3' @ 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 > a > $o] :
( ( '#sk2' @ Y3 )
& ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk3' @ '#sk4' ) ) )
=> ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ??
@ ^ [Y3: a > a > $o] :
( ( ??
@ ^ [Y4: a > a > $o] :
( ( '#sk2' @ Y4 )
& ( Y3
= ( ^ [Y5: a,Y6: a] :
( !!
@ ^ [Y7: a > a > $o] :
( ( ( '#sk1' @ Y7 )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( Y4 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) ) ) ) ) )
& ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk3' @ '#sk4' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ??
@ ^ [Y3: a > a > $o] :
( ( '#sk2' @ Y3 )
& ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk3' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X2: a > a > $o] :
( ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk2' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
( ( ( '#sk1' @ '#sk5' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk2' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ??
@ ^ [Y3: a > a > $o] :
( ( ??
@ ^ [Y4: a > a > $o] :
( ( '#sk2' @ Y4 )
& ( Y3
= ( ^ [Y5: a,Y6: a] :
( !!
@ ^ [Y7: a > a > $o] :
( ( ( '#sk1' @ Y7 )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( Y4 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) ) ) ) ) )
& ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk3' @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
~ ( ( ( '#sk1' @ '#sk5' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( ??
@ ^ [Y3: a > a > $o] :
( ( '#sk2' @ Y3 )
& ( Y2
= ( ^ [Y4: a,Y5: a] :
( !!
@ ^ [Y6: a > a > $o] :
( ( ( '#sk1' @ Y6 )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) ) ) ) ) )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk5' @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
( ( '#sk1' @ '#sk5' )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( ??
@ ^ [Y3: a > a > $o] :
( ( '#sk2' @ Y3 )
& ( Y2
= ( ^ [Y4: a,Y5: a] :
( !!
@ ^ [Y6: a > a > $o] :
( ( ( '#sk1' @ Y6 )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) ) ) ) ) )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl14,plain,
'#sk1' @ '#sk5',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl12,plain,
~ ( '#sk5' @ '#sk3' @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl48,plain,
( ( $true
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk2' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl14,zip_derived_cl12]) ).
thf(zip_derived_cl49,plain,
( (~)
@ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk2' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl50,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk2' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl51,plain,
~ ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > a > $o] :
( ( '#sk2' @ Y1 )
& ( Y1 @ ( '#sk18' @ '#sk5' ) @ Y0 ) ) )
=> ( '#sk5' @ ( '#sk18' @ '#sk5' ) @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl52,plain,
~ ( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk2' @ Y0 )
& ( Y0 @ ( '#sk18' @ '#sk5' ) @ ( '#sk26' @ '#sk5' ) ) ) )
=> ( '#sk5' @ ( '#sk18' @ '#sk5' ) @ ( '#sk26' @ '#sk5' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl54,plain,
~ ( '#sk5' @ ( '#sk18' @ '#sk5' ) @ ( '#sk26' @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl15,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( ??
@ ^ [Y3: a > a > $o] :
( ( '#sk2' @ Y3 )
& ( Y2
= ( ^ [Y4: a,Y5: a] :
( !!
@ ^ [Y6: a > a > $o] :
( ( ( '#sk1' @ Y6 )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) ) ) ) ) )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( '#sk5' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > a > $o] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk2' @ Y2 )
& ( Y1
= ( ^ [Y3: a,Y4: a] :
( !!
@ ^ [Y5: a > a > $o] :
( ( ( '#sk1' @ Y5 )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( Y2 @ Y6 @ Y7 )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) ) ) ) ) )
& ( Y1 @ X2 @ Y0 ) ) )
=> ( '#sk5' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl19,plain,
! [X2: a,X4: a] :
( ( ??
@ ^ [Y0: a > a > $o] :
( ( ??
@ ^ [Y1: a > a > $o] :
( ( '#sk2' @ Y1 )
& ( Y0
= ( ^ [Y2: a,Y3: a] :
( !!
@ ^ [Y4: a > a > $o] :
( ( ( '#sk1' @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( Y0 @ X2 @ X4 ) ) )
=> ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl22,plain,
! [X2: a,X4: a] :
( ~ ( ??
@ ^ [Y0: a > a > $o] :
( ( ??
@ ^ [Y1: a > a > $o] :
( ( '#sk2' @ Y1 )
& ( Y0
= ( ^ [Y2: a,Y3: a] :
( !!
@ ^ [Y4: a > a > $o] :
( ( ( '#sk1' @ Y4 )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( Y0 @ X2 @ X4 ) ) )
| ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl25,plain,
! [X2: a,X4: a,X6: a > a > $o] :
( ~ ( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk2' @ Y0 )
& ( X6
= ( ^ [Y1: a,Y2: a] :
( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) ) ) )
& ( X6 @ X2 @ X4 ) )
| ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl30,plain,
! [X2: a,X4: a,X6: a > a > $o] :
( ~ ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk2' @ Y0 )
& ( X6
= ( ^ [Y1: a,Y2: a] :
( !!
@ ^ [Y3: a > a > $o] :
( ( ( '#sk1' @ Y3 )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) ) ) )
| ~ ( X6 @ X2 @ X4 )
| ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl31,plain,
! [X2: a,X4: a,X6: a > a > $o,X8: a > a > $o] :
( ~ ( ( '#sk2' @ X8 )
& ( X6
= ( ^ [Y0: a,Y1: a] :
( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( X8 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) )
| ( '#sk5' @ X2 @ X4 )
| ~ ( X6 @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl34,plain,
! [X2: a,X4: a,X6: a > a > $o,X8: a > a > $o] :
( ~ ( '#sk2' @ X8 )
| ( X6
!= ( ^ [Y0: a,Y1: a] :
( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( X8 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) )
| ~ ( X6 @ X2 @ X4 )
| ( '#sk5' @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl35,plain,
! [X2: a,X4: a,X6: a > a > $o,X8: a > a > $o] :
( ~ ( '#sk2' @ X8 )
| ( X6
!= ( ^ [Y0: a,Y1: a] :
( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( X8 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) )
| ~ ( X6 @ X2 @ X4 )
| ( '#sk5' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl288,plain,
! [X0: a,X1: a,X2: a > a > $o] :
( ( '#sk5' @ X1 @ X0 )
| ~ ( ^ [Y0: a,Y1: a] :
( !!
@ ^ [Y2: a > a > $o] :
( ( ( '#sk1' @ Y2 )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( X2 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X1
@ X0 )
| ~ ( '#sk2' @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl289,plain,
! [X0: a,X1: a,X2: a > a > $o] :
( ( '#sk5' @ X1 @ X0 )
| ~ ( !!
@ ^ [Y0: a > a > $o] :
( ( ( '#sk1' @ Y0 )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( X2 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X1 @ X0 ) ) )
| ~ ( '#sk2' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl288]) ).
thf(zip_derived_cl867,plain,
! [X0: a,X1: a,X2: a > a > $o] :
( ~ ( ( ( '#sk1' @ ( '#sk11832' @ X0 @ X1 @ X2 ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( X2 @ Y0 @ Y1 )
=> ( '#sk11832' @ X0 @ X1 @ X2 @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk11832' @ X0 @ X1 @ X2 @ X1 @ X0 ) )
| ~ ( '#sk2' @ X2 )
| ( '#sk5' @ X1 @ X0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl289]) ).
thf(zip_derived_cl869,plain,
! [X0: a,X1: a,X2: a > a > $o] :
( ~ ( '#sk11832' @ X0 @ X1 @ X2 @ X1 @ X0 )
| ( '#sk5' @ X1 @ X0 )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl867]) ).
thf(zip_derived_cl14_001,plain,
'#sk1' @ '#sk5',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl7_002,plain,
! [X2: a > a > $o] :
( ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk2' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: a > a > $o] :
( ~ ( ( '#sk1' @ X2 )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk2' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: a > a > $o] :
( ~ ( '#sk1' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ??
@ ^ [Y2: a > a > $o] :
( ( '#sk2' @ Y2 )
& ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
! [X2: a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ??
@ ^ [Y1: a > a > $o] :
( ( '#sk2' @ Y1 )
& ( Y1 @ ( '#sk18' @ X2 ) @ Y0 ) ) )
=> ( X2 @ ( '#sk18' @ X2 ) @ Y0 ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl18,plain,
! [X2: a > a > $o] :
( ~ ( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk2' @ Y0 )
& ( Y0 @ ( '#sk18' @ X2 ) @ ( '#sk26' @ X2 ) ) ) )
=> ( X2 @ ( '#sk18' @ X2 ) @ ( '#sk26' @ X2 ) ) )
| ~ ( '#sk1' @ X2 )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl20,plain,
! [X2: a > a > $o] :
( ( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk2' @ Y0 )
& ( Y0 @ ( '#sk18' @ X2 ) @ ( '#sk26' @ X2 ) ) ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl24,plain,
! [X2: a > a > $o] :
( ( ( '#sk2' @ ( '#sk43' @ X2 ) )
& ( '#sk43' @ X2 @ ( '#sk18' @ X2 ) @ ( '#sk26' @ X2 ) ) )
| ~ ( '#sk1' @ X2 )
| ( X2 @ '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28,plain,
! [X2: a > a > $o] :
( ( '#sk2' @ ( '#sk43' @ X2 ) )
| ( X2 @ '#sk3' @ '#sk4' )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl36,plain,
( ( '#sk5' @ '#sk3' @ '#sk4' )
| ( '#sk2' @ ( '#sk43' @ '#sk5' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl28]) ).
thf(zip_derived_cl12_003,plain,
~ ( '#sk5' @ '#sk3' @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl45,plain,
'#sk2' @ ( '#sk43' @ '#sk5' ),
inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl12]) ).
thf(zip_derived_cl868,plain,
! [X0: a,X1: a,X2: a > a > $o] :
( ( ( '#sk1' @ ( '#sk11832' @ X0 @ X1 @ X2 ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( X2 @ Y0 @ Y1 )
=> ( '#sk11832' @ X0 @ X1 @ X2 @ Y0 @ Y1 ) ) ) ) )
| ( '#sk5' @ X1 @ X0 )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl867]) ).
thf(zip_derived_cl871,plain,
! [X0: a,X1: a,X2: a > a > $o] :
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( X2 @ Y0 @ Y1 )
=> ( '#sk11832' @ X0 @ X1 @ X2 @ Y0 @ Y1 ) ) ) )
| ~ ( '#sk2' @ X2 )
| ( '#sk5' @ X1 @ X0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl868]) ).
thf(zip_derived_cl872,plain,
! [X0: a,X1: a,X2: a > a > $o,X4: a] :
( ( !!
@ ^ [Y0: a] :
( ( X2 @ X4 @ Y0 )
=> ( '#sk11832' @ X0 @ X1 @ X2 @ X4 @ Y0 ) ) )
| ( '#sk5' @ X1 @ X0 )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl871]) ).
thf(zip_derived_cl873,plain,
! [X0: a,X1: a,X2: a > a > $o,X4: a,X6: a] :
( ( ( X2 @ X4 @ X6 )
=> ( '#sk11832' @ X0 @ X1 @ X2 @ X4 @ X6 ) )
| ~ ( '#sk2' @ X2 )
| ( '#sk5' @ X1 @ X0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl872]) ).
thf(zip_derived_cl874,plain,
! [X0: a,X1: a,X2: a > a > $o,X4: a,X6: a] :
( ~ ( X2 @ X4 @ X6 )
| ( '#sk11832' @ X0 @ X1 @ X2 @ X4 @ X6 )
| ( '#sk5' @ X1 @ X0 )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl873]) ).
thf(zip_derived_cl922,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( '#sk5' @ X1 @ X0 )
| ( '#sk11832' @ X0 @ X1 @ ( '#sk43' @ '#sk5' ) @ X3 @ X2 )
| ~ ( '#sk43' @ '#sk5' @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl874]) ).
thf(zip_derived_cl937,plain,
! [X0: a,X1: a] :
( ~ ( '#sk2' @ ( '#sk43' @ '#sk5' ) )
| ( '#sk5' @ X1 @ X0 )
| ~ ( '#sk43' @ '#sk5' @ X1 @ X0 )
| ( '#sk5' @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl869,zip_derived_cl922]) ).
thf(zip_derived_cl45_004,plain,
'#sk2' @ ( '#sk43' @ '#sk5' ),
inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl12]) ).
thf(zip_derived_cl940,plain,
! [X0: a,X1: a] :
( ( '#sk5' @ X1 @ X0 )
| ~ ( '#sk43' @ '#sk5' @ X1 @ X0 )
| ( '#sk5' @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl937,zip_derived_cl45]) ).
thf(zip_derived_cl941,plain,
! [X0: a,X1: a] :
( ~ ( '#sk43' @ '#sk5' @ X1 @ X0 )
| ( '#sk5' @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl940]) ).
thf(zip_derived_cl53,plain,
( ??
@ ^ [Y0: a > a > $o] :
( ( '#sk2' @ Y0 )
& ( Y0 @ ( '#sk18' @ '#sk5' ) @ ( '#sk26' @ '#sk5' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl55,plain,
( ( '#sk2' @ ( '#sk43' @ '#sk5' ) )
& ( '#sk43' @ '#sk5' @ ( '#sk18' @ '#sk5' ) @ ( '#sk26' @ '#sk5' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl45_005,plain,
'#sk2' @ ( '#sk43' @ '#sk5' ),
inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl12]) ).
thf(zip_derived_cl56,plain,
( $true
& ( '#sk43' @ '#sk5' @ ( '#sk18' @ '#sk5' ) @ ( '#sk26' @ '#sk5' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl45]) ).
thf(zip_derived_cl57,plain,
'#sk43' @ '#sk5' @ ( '#sk18' @ '#sk5' ) @ ( '#sk26' @ '#sk5' ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl952,plain,
'#sk5' @ ( '#sk18' @ '#sk5' ) @ ( '#sk26' @ '#sk5' ),
inference('sup+',[status(thm)],[zip_derived_cl941,zip_derived_cl57]) ).
thf(zip_derived_cl992,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl952]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV124^5 : 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.FHH6JukWuV true
% 0.14/0.35 % Computer : n017.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 03:26:09 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
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 14.52/2.51 % Solved by lams/35_full_unif4.sh.
% 14.52/2.51 % done 178 iterations in 1.720s
% 14.52/2.51 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.52/2.51 % SZS output start Refutation
% See solution above
% 14.52/2.51
% 14.52/2.51
% 14.52/2.51 % Terminating...
% 14.88/2.57 % Runner terminated.
% 14.88/2.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------