TSTP Solution File: SEV170^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV170^5 : 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.QdWM2ogbqO true
% Computer : n032.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 19:59:52 EDT 2023
% Result : Theorem 121.33s 16.01s
% Output : Refutation 121.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 53
% Syntax : Number of formulae : 91 ( 35 unt; 22 typ; 0 def)
% Number of atoms : 124 ( 62 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 634 ( 43 ~; 43 |; 6 &; 531 @)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 514 ( 514 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 5 con; 0-4 aty)
% Number of variables : 540 ( 328 ^; 212 !; 0 ?; 540 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#l_lift59767_type',type,
'#l_lift59767': a > ( a > a > a ) > a ).
thf(sk__1_type,type,
sk__1: ( ( a > a > a ) > a ) > a > a > a ).
thf(sk__7_type,type,
sk__7: ( a > a > a ) > a ).
thf(sk__5_type,type,
sk__5: a ).
thf('#l_lift59757_type',type,
'#l_lift59757': a > a > a ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: ( ( a > a > a ) > a ) > ( ( a > a > a ) > a ) > ( a > a > a > a > $o ) > $o ).
thf(sk__2_type,type,
sk__2: a > a > a > a > $o ).
thf(sk__8_type,type,
sk__8: ( a > a > a ) > a ).
thf('#l_lift59760_type',type,
'#l_lift59760': a > ( a > a > a ) > a ).
thf('#l_lift59763_type',type,
'#l_lift59763': a > ( ( a > a > a ) > a ) > ( a > a > a ) > a ).
thf(sk__4_type,type,
sk__4: a ).
thf('#l_lift59768_type',type,
'#l_lift59768': a > ( a > a > a ) > a ).
thf(sk__6_type,type,
sk__6: a ).
thf('#l_lift59756_type',type,
'#l_lift59756': a > a > a ).
thf(sk__type,type,
sk_: ( ( a > a > a ) > a ) > a > a > a ).
thf(sk__3_type,type,
sk__3: a ).
thf('#l_lift59758_type',type,
'#l_lift59758': a > ( ( a > a > a ) > a ) > ( a > a > a ) > a ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: a > a > a > a > $o ).
thf('#l_lift59759_type',type,
'#l_lift59759': a > ( a > a > a ) > a ).
thf(cTHM190_pme,conjecture,
! [Xr: a > a > a > a > $o] :
( ! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
( ( ( Xr
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xy )
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xy ) )
& ! [Xg: a > a > a] :
( ( Xq @ Xg )
= ( Xg
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xy ) ) )
& ! [Xg: a > a > a] :
( ( Xp @ Xg )
= ( Xg
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
=> ( Xp = Xq ) )
<=> ! [Xx1: a,Xy1: a,Xx2: a,Xy2: a] :
( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 )
=> ( ( Xy1 = Xy2 )
& ( Xx1 = Xx2 ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [Xy2: a,Xx2: a,Xy1: a,Xx1: a] :
( ( zip_tseitin_1 @ Xy2 @ Xx2 @ Xy1 @ Xx1 )
<=> ( ( Xx1 = Xx2 )
& ( Xy1 = Xy2 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
| ( X2 != X0 )
| ( X3 != X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,axiom,
! [Xq: ( a > a > a ) > a,Xp: ( a > a > a ) > a,Xr: a > a > a > a > $o] :
( ( zip_tseitin_0 @ Xq @ Xp @ Xr )
<=> ( ! [Xg: a > a > a] :
( ( Xp @ Xg )
= ( Xg
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xy ) ) )
& ! [Xg: a > a > a] :
( ( Xq @ Xg )
= ( Xg
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xy ) ) )
& ( Xr
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xy )
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xq
@ ^ [Xx: a,Xy: a] : Xy ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: a > a > a,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a,X3: a > a > a > a > $o] :
( ( ( X1 @ X0 )
= ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ~ ( zip_tseitin_0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: a > a > a,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a,X3: a > a > a > a > $o] :
( ( ( X1 @ X0 )
= ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7818,plain,
! [X4: a,X5: a] :
( ( '#l_lift59756' @ X4 @ X5 )
= X4 ),
define([status(thm)]) ).
thf(zip_derived_cl0_001,plain,
! [X0: a > a > a,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a,X3: a > a > a > a > $o] :
( ( ( X1 @ X0 )
= ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7819,plain,
! [X6: a,X7: a] :
( ( '#l_lift59757' @ X6 @ X7 )
= X7 ),
define([status(thm)]) ).
thf(zip_derived_cl7821,plain,
! [X0: a > a > a,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a,X3: a > a > a > a > $o] :
( ( ( X1 @ X0 )
= ( X0 @ ( X1 @ '#l_lift59756' ) @ ( X1 @ '#l_lift59757' ) ) )
| ~ ( zip_tseitin_0 @ X1 @ X2 @ X3 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl1,zip_derived_cl7818,zip_derived_cl7819]) ).
thf(zip_derived_cl0_002,plain,
! [X0: a > a > a,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a,X3: a > a > a > a > $o] :
( ( ( X1 @ X0 )
= ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7818_003,plain,
! [X4: a,X5: a] :
( ( '#l_lift59756' @ X4 @ X5 )
= X4 ),
define([status(thm)]) ).
thf(zip_derived_cl7819_004,plain,
! [X6: a,X7: a] :
( ( '#l_lift59757' @ X6 @ X7 )
= X7 ),
define([status(thm)]) ).
thf(zip_derived_cl7820,plain,
! [X0: a > a > a,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a,X3: a > a > a > a > $o] :
( ( ( X1 @ X0 )
= ( X0 @ ( X1 @ '#l_lift59756' ) @ ( X1 @ '#l_lift59757' ) ) )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X3 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl0,zip_derived_cl7818,zip_derived_cl7819]) ).
thf(zip_derived_cl4,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( X1 = X0 )
| ~ ( zip_tseitin_1 @ X2 @ X0 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: a > a > a > a > $o,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7818_005,plain,
! [X4: a,X5: a] :
( ( '#l_lift59756' @ X4 @ X5 )
= X4 ),
define([status(thm)]) ).
thf(zip_derived_cl7819_006,plain,
! [X6: a,X7: a] :
( ( '#l_lift59757' @ X6 @ X7 )
= X7 ),
define([status(thm)]) ).
thf(zip_derived_cl7818_007,plain,
! [X4: a,X5: a] :
( ( '#l_lift59756' @ X4 @ X5 )
= X4 ),
define([status(thm)]) ).
thf(zip_derived_cl7819_008,plain,
! [X6: a,X7: a] :
( ( '#l_lift59757' @ X6 @ X7 )
= X7 ),
define([status(thm)]) ).
thf(zip_derived_cl7822,plain,
! [X0: a > a > a > a > $o,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X0 @ ( X1 @ '#l_lift59756' ) @ ( X1 @ '#l_lift59757' ) @ ( X2 @ '#l_lift59756' ) @ ( X2 @ '#l_lift59757' ) )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl2,zip_derived_cl7818,zip_derived_cl7819,zip_derived_cl7818,zip_derived_cl7819]) ).
thf(zip_derived_cl5,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( X1 = X0 )
| ~ ( zip_tseitin_1 @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_2,type,
zip_tseitin_1: a > a > a > a > $o ).
thf(zf_stmt_3,type,
zip_tseitin_0: ( ( a > a > a ) > a ) > ( ( a > a > a ) > a ) > ( a > a > a > a > $o ) > $o ).
thf(zf_stmt_4,conjecture,
! [Xr: a > a > a > a > $o] :
( ! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
( ( zip_tseitin_0 @ Xq @ Xp @ Xr )
=> ( Xp = Xq ) )
<=> ! [Xx1: a,Xy1: a,Xx2: a,Xy2: a] :
( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 )
=> ( zip_tseitin_1 @ Xy2 @ Xx2 @ Xy1 @ Xx1 ) ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ! [Xr: a > a > a > a > $o] :
( ! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
( ( zip_tseitin_0 @ Xq @ Xp @ Xr )
=> ( Xp = Xq ) )
<=> ! [Xx1: a,Xy1: a,Xx2: a,Xy2: a] :
( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 )
=> ( zip_tseitin_1 @ Xy2 @ Xx2 @ Xy1 @ Xx1 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl8,plain,
( ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 )
| ( sk__7 != sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl10,plain,
( ( sk__2 @ sk__3 @ sk__4 @ sk__5 @ sk__6 )
| ( sk__7 != sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl9,plain,
( ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 )
| ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl11,plain,
( ( sk__2 @ sk__3 @ sk__4 @ sk__5 @ sk__6 )
| ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl2_009,plain,
! [X0: a > a > a > a > $o,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_010,plain,
! [X0: a > a > a > a > $o,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl471,plain,
! [X0: $o,X1: ( a > a > a ) > a,X2: a,X3: ( a > a > a ) > a] :
( ( ^ [Y0: a,Y1: a,Y2: a,Y3: a] : X0
@ ( ^ [Y0: a > a > a] : X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( ^ [Y0: a > a > a] : X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( ^ [Y0: a > a > a] : X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( ^ [Y0: a > a > a] : X2
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ~ ( zip_tseitin_0 @ X1
@ ^ [Y0: a > a > a] :
( Y0 @ ( X3 @ Y0 )
@ ( ^ [Y1: a > a > a] : X2
@ Y0 ) )
@ ^ [Y0: a,Y1: a,Y2: a,Y3: a] :
( zip_tseitin_0
@ ( ^ [Y4: a,Y5: a,Y6: a,Y7: a,Y8: a > a > a] : Y5
@ Y0
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a,Y5: a,Y6: a,Y7: a,Y8: a > a > a] : Y5
@ Y0
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a,Y5: a,Y6: a,Y7: a,Y8: a,Y9: a,Y10: a,Y11: a] : X0
@ Y0
@ Y1
@ Y2
@ Y3 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl473,plain,
! [X0: $o,X1: ( a > a > a ) > a,X2: a,X3: ( a > a > a ) > a] :
( X0
| ~ ( zip_tseitin_0 @ X1
@ ^ [Y0: a > a > a] : ( Y0 @ ( X3 @ Y0 ) @ X2 )
@ ^ [Y0: a,Y1: a,Y2: a,Y3: a] :
( zip_tseitin_0
@ ^ [Y4: a > a > a] : Y1
@ ^ [Y4: a > a > a] : Y1
@ ^ [Y4: a,Y5: a,Y6: a,Y7: a] : X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl471]) ).
thf(zip_derived_cl7831,plain,
! [X2: a,X3: ( a > a > a ) > a,X4: a > a > a] :
( ( '#l_lift59763' @ X2 @ X3 @ X4 )
= ( X4 @ ( X3 @ X4 ) @ X2 ) ),
define([status(thm)]) ).
thf(zip_derived_cl7819_011,plain,
! [X6: a,X7: a] :
( ( '#l_lift59757' @ X6 @ X7 )
= X7 ),
define([status(thm)]) ).
thf(zip_derived_cl7818_012,plain,
! [X4: a,X5: a] :
( ( '#l_lift59756' @ X4 @ X5 )
= X4 ),
define([status(thm)]) ).
thf(zip_derived_cl7,plain,
! [X0: a,X1: a,X2: a,X3: a,X4: ( a > a > a ) > a,X5: ( a > a > a ) > a] :
( ~ ( sk__2 @ X0 @ X1 @ X2 @ X3 )
| ( zip_tseitin_1 @ X3 @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_0 @ X4 @ X5 @ sk__2 )
| ( X5 = X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl2_013,plain,
! [X0: a > a > a > a > $o,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_014,plain,
! [X0: a > a > a > a > $o,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl447,plain,
! [X0: $o,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a,X3: a] :
( ( ^ [Y0: a,Y1: a,Y2: a,Y3: a] : X0
@ ( ^ [Y0: a > a > a] : X3
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( ^ [Y0: a > a > a] : X3
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( ^ [Y0: a > a > a] : X3
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( ^ [Y0: a > a > a] : X3
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ~ ( zip_tseitin_0 @ X1
@ ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : X3
@ Y0 )
@ ( X2 @ Y0 ) )
@ ^ [Y0: a,Y1: a,Y2: a,Y3: a] :
( zip_tseitin_0
@ ( ^ [Y4: a,Y5: a,Y6: a,Y7: a,Y8: a > a > a] : Y4
@ Y0
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a,Y5: a,Y6: a,Y7: a,Y8: a > a > a] : Y4
@ Y0
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a,Y5: a,Y6: a,Y7: a,Y8: a,Y9: a,Y10: a,Y11: a] : X0
@ Y0
@ Y1
@ Y2
@ Y3 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl452,plain,
! [X0: $o,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a,X3: a] :
( X0
| ~ ( zip_tseitin_0 @ X1
@ ^ [Y0: a > a > a] : ( Y0 @ X3 @ ( X2 @ Y0 ) )
@ ^ [Y0: a,Y1: a,Y2: a,Y3: a] :
( zip_tseitin_0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a,Y5: a,Y6: a,Y7: a] : X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl447]) ).
thf(zip_derived_cl7846,plain,
! [X6: a,X7: a > a > a] :
( ( '#l_lift59768' @ X6 @ X7 )
= X6 ),
define([status(thm)]) ).
thf(zip_derived_cl2_015,plain,
! [X0: a > a > a > a > $o,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1_016,plain,
! [X0: a > a > a,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a,X3: a > a > a > a > $o] :
( ( ( X1 @ X0 )
= ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ~ ( zip_tseitin_0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl516,plain,
! [X0: $o,X1: a,X2: ( a > a > a ) > a,X3: ( a > a > a ) > a,X4: a > a > a] :
( ~ ( zip_tseitin_0 @ X2
@ ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : X1
@ Y0 )
@ ( X3 @ Y0 ) )
@ ^ [Y0: a,Y1: a,Y2: a,Y3: a] :
( zip_tseitin_0
@ ( ^ [Y4: a,Y5: a,Y6: a,Y7: a,Y8: a > a > a] : Y4
@ Y0
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a,Y5: a,Y6: a,Y7: a,Y8: a > a > a] : Y4
@ Y0
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a,Y5: a,Y6: a,Y7: a,Y8: a,Y9: a,Y10: a,Y11: a] : X0
@ Y0
@ Y1
@ Y2
@ Y3 ) ) )
| ( ( ^ [Y0: a > a > a] : X1
@ X4 )
= ( X4
@ ( ^ [Y0: a > a > a] : X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( ^ [Y0: a > a > a] : X1
@ ^ [Y0: a,Y1: a] : Y1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl524,plain,
! [X0: $o,X1: a,X2: ( a > a > a ) > a,X3: ( a > a > a ) > a,X4: a > a > a] :
( ~ ( zip_tseitin_0 @ X2
@ ^ [Y0: a > a > a] : ( Y0 @ X1 @ ( X3 @ Y0 ) )
@ ^ [Y0: a,Y1: a,Y2: a,Y3: a] :
( zip_tseitin_0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a,Y5: a,Y6: a,Y7: a] : X0 ) )
| ( X1
= ( X4 @ X1 @ X1 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl516]) ).
thf(zip_derived_cl525,plain,
! [X0: $o,X1: a,X2: ( a > a > a ) > a,X3: ( a > a > a ) > a,X4: a] :
( ~ ( zip_tseitin_0 @ X2
@ ^ [Y0: a > a > a] : ( Y0 @ X1 @ ( X3 @ Y0 ) )
@ ^ [Y0: a,Y1: a,Y2: a,Y3: a] :
( zip_tseitin_0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a,Y5: a,Y6: a,Y7: a] : X0 ) )
| ( X1
= ( ^ [Y0: a,Y1: a] : X4
@ X1
@ X1 ) ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl524]) ).
thf(zip_derived_cl526,plain,
! [X0: $o,X1: a,X2: ( a > a > a ) > a,X3: ( a > a > a ) > a,X4: a] :
( ~ ( zip_tseitin_0 @ X2
@ ^ [Y0: a > a > a] : ( Y0 @ X1 @ ( X3 @ Y0 ) )
@ ^ [Y0: a,Y1: a,Y2: a,Y3: a] :
( zip_tseitin_0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a,Y5: a,Y6: a,Y7: a] : X0 ) )
| ( X1 = X4 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl525]) ).
thf(zip_derived_cl7824,plain,
! [X1: a,X3: ( a > a > a ) > a,X5: a > a > a] :
( ( '#l_lift59758' @ X1 @ X3 @ X5 )
= ( X5 @ X1 @ ( X3 @ X5 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3,plain,
! [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a,X2: a > a > a > a > $o] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ~ ( X2
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X0
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X0
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ( ( X0 @ ( sk_ @ X0 ) )
!= ( sk_ @ X0
@ ( X0
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X0
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ( ( X1 @ ( sk__1 @ X1 ) )
!= ( sk__1 @ X1
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7818_017,plain,
! [X4: a,X5: a] :
( ( '#l_lift59756' @ X4 @ X5 )
= X4 ),
define([status(thm)]) ).
thf(zip_derived_cl7819_018,plain,
! [X6: a,X7: a] :
( ( '#l_lift59757' @ X6 @ X7 )
= X7 ),
define([status(thm)]) ).
thf(zip_derived_cl7818_019,plain,
! [X4: a,X5: a] :
( ( '#l_lift59756' @ X4 @ X5 )
= X4 ),
define([status(thm)]) ).
thf(zip_derived_cl7819_020,plain,
! [X6: a,X7: a] :
( ( '#l_lift59757' @ X6 @ X7 )
= X7 ),
define([status(thm)]) ).
thf(zip_derived_cl7818_021,plain,
! [X4: a,X5: a] :
( ( '#l_lift59756' @ X4 @ X5 )
= X4 ),
define([status(thm)]) ).
thf(zip_derived_cl7819_022,plain,
! [X6: a,X7: a] :
( ( '#l_lift59757' @ X6 @ X7 )
= X7 ),
define([status(thm)]) ).
thf(zip_derived_cl7818_023,plain,
! [X4: a,X5: a] :
( ( '#l_lift59756' @ X4 @ X5 )
= X4 ),
define([status(thm)]) ).
thf(zip_derived_cl7819_024,plain,
! [X6: a,X7: a] :
( ( '#l_lift59757' @ X6 @ X7 )
= X7 ),
define([status(thm)]) ).
thf(zip_derived_cl7823,plain,
! [X0: ( a > a > a ) > a,X1: ( a > a > a ) > a,X2: a > a > a > a > $o] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ~ ( X2 @ ( X1 @ '#l_lift59756' ) @ ( X1 @ '#l_lift59757' ) @ ( X0 @ '#l_lift59756' ) @ ( X0 @ '#l_lift59757' ) )
| ( ( X0 @ ( sk_ @ X0 ) )
!= ( sk_ @ X0 @ ( X0 @ '#l_lift59756' ) @ ( X0 @ '#l_lift59757' ) ) )
| ( ( X1 @ ( sk__1 @ X1 ) )
!= ( sk__1 @ X1 @ ( X1 @ '#l_lift59756' ) @ ( X1 @ '#l_lift59757' ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl3,zip_derived_cl7818,zip_derived_cl7819,zip_derived_cl7818,zip_derived_cl7819,zip_derived_cl7818,zip_derived_cl7819,zip_derived_cl7818,zip_derived_cl7819]) ).
thf(zip_derived_cl452_025,plain,
! [X0: $o,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a,X3: a] :
( X0
| ~ ( zip_tseitin_0 @ X1
@ ^ [Y0: a > a > a] : ( Y0 @ X3 @ ( X2 @ Y0 ) )
@ ^ [Y0: a,Y1: a,Y2: a,Y3: a] :
( zip_tseitin_0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a,Y5: a,Y6: a,Y7: a] : X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl447]) ).
thf(zip_derived_cl526_026,plain,
! [X0: $o,X1: a,X2: ( a > a > a ) > a,X3: ( a > a > a ) > a,X4: a] :
( ~ ( zip_tseitin_0 @ X2
@ ^ [Y0: a > a > a] : ( Y0 @ X1 @ ( X3 @ Y0 ) )
@ ^ [Y0: a,Y1: a,Y2: a,Y3: a] :
( zip_tseitin_0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a,Y5: a,Y6: a,Y7: a] : X0 ) )
| ( X1 = X4 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl525]) ).
thf(zip_derived_cl7825,plain,
! [X6: a,X7: a > a > a] :
( ( '#l_lift59759' @ X6 @ X7 )
= X6 ),
define([status(thm)]) ).
thf(zip_derived_cl7849,plain,
! [X0: a] :
( ( '#l_lift59768' @ X0 )
= ( '#l_lift59759' @ X0 ) ),
define([status(thm)]) ).
thf(zip_derived_cl526_027,plain,
! [X0: $o,X1: a,X2: ( a > a > a ) > a,X3: ( a > a > a ) > a,X4: a] :
( ~ ( zip_tseitin_0 @ X2
@ ^ [Y0: a > a > a] : ( Y0 @ X1 @ ( X3 @ Y0 ) )
@ ^ [Y0: a,Y1: a,Y2: a,Y3: a] :
( zip_tseitin_0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a,Y5: a,Y6: a,Y7: a] : X0 ) )
| ( X1 = X4 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl525]) ).
thf(zip_derived_cl7825_028,plain,
! [X6: a,X7: a > a > a] :
( ( '#l_lift59759' @ X6 @ X7 )
= X6 ),
define([status(thm)]) ).
thf(zip_derived_cl7827,plain,
! [X0: a] :
( ( '#l_lift59760' @ X0 )
= ( '#l_lift59759' @ X0 ) ),
define([status(thm)]) ).
thf(zip_derived_cl452_029,plain,
! [X0: $o,X1: ( a > a > a ) > a,X2: ( a > a > a ) > a,X3: a] :
( X0
| ~ ( zip_tseitin_0 @ X1
@ ^ [Y0: a > a > a] : ( Y0 @ X3 @ ( X2 @ Y0 ) )
@ ^ [Y0: a,Y1: a,Y2: a,Y3: a] :
( zip_tseitin_0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a > a > a] : Y0
@ ^ [Y4: a,Y5: a,Y6: a,Y7: a] : X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl447]) ).
thf(zip_derived_cl7825_030,plain,
! [X6: a,X7: a > a > a] :
( ( '#l_lift59759' @ X6 @ X7 )
= X6 ),
define([status(thm)]) ).
thf(zip_derived_cl7843,plain,
! [X0: a] :
( ( '#l_lift59767' @ X0 )
= ( '#l_lift59759' @ X0 ) ),
define([status(thm)]) ).
thf(zip_derived_cl7915,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl6,zip_derived_cl7821,zip_derived_cl7820,zip_derived_cl4,zip_derived_cl7822,zip_derived_cl5,zip_derived_cl8,zip_derived_cl10,zip_derived_cl9,zip_derived_cl11,zip_derived_cl7831,zip_derived_cl7819,zip_derived_cl7818,zip_derived_cl7,zip_derived_cl7846,zip_derived_cl7824,zip_derived_cl7823,zip_derived_cl7849,zip_derived_cl7827,zip_derived_cl7843]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEV170^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QdWM2ogbqO true
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Thu Aug 24 03:55:41 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % Running portfolio for 300 s
% 0.09/0.28 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.28 % Number of cores: 8
% 0.09/0.29 % Python version: Python 3.6.8
% 0.09/0.29 % Running in HO mode
% 0.14/0.53 % Total configuration time : 828
% 0.14/0.53 % Estimated wc time : 1656
% 0.14/0.53 % Estimated cpu time (8 cpus) : 207.0
% 0.14/0.55 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.14/0.55 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.14/0.55 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.14/0.56 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.14/0.56 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.14/0.57 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.14/0.57 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.14/0.57 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 121.33/16.01 % Solved by lams/40_c_ic.sh.
% 121.33/16.01 % done 275 iterations in 15.405s
% 121.33/16.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 121.33/16.01 % SZS output start Refutation
% See solution above
% 121.33/16.02
% 121.33/16.02
% 121.33/16.02 % Terminating...
% 121.33/16.10 % Runner terminated.
% 121.33/16.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------