TSTP Solution File: SWC397+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC397+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TfjI0zdjsj true
% Computer : n023.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 21:31:18 EDT 2023
% Result : Theorem 58.08s 8.89s
% Output : Refutation 58.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of formulae : 121 ( 38 unt; 14 typ; 0 def)
% Number of atoms : 314 ( 105 equ; 0 cnn)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 716 ( 127 ~; 174 |; 4 &; 382 @)
% ( 3 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 71 ( 0 ^; 71 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__48_type,type,
sk__48: $i ).
thf(sk__53_type,type,
sk__53: $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__52_type,type,
sk__52: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(sk__50_type,type,
sk__50: $i ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ! [Y: $i] :
( ( ssItem @ Y )
=> ( ~ ( memberP @ U @ Y )
| ( memberP @ V @ Y ) ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [Z: $i] :
( ( ssItem @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( app @ ( cons @ Z @ nil ) @ X1 )
!= W )
| ( ( app @ X1 @ ( cons @ Z @ nil ) )
!= X ) ) ) )
& ( neq @ X @ nil ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ! [Y: $i] :
( ( ssItem @ Y )
=> ( ~ ( memberP @ U @ Y )
| ( memberP @ V @ Y ) ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [Z: $i] :
( ( ssItem @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( app @ ( cons @ Z @ nil ) @ X1 )
!= W )
| ( ( app @ X1 @ ( cons @ Z @ nil ) )
!= X ) ) ) )
& ( neq @ X @ nil ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl192,plain,
~ ( memberP @ sk__48 @ sk__53 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl197,plain,
( ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
= sk__49 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1480,plain,
( ~ ( ssList @ sk__50 )
| ( sk__50 = nil )
| ~ ( ssList @ nil )
| ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
= sk__49 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl197]) ).
thf(zip_derived_cl201,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl202,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201_001,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1533,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl201]) ).
thf(zip_derived_cl201_002,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl195,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1627,plain,
( ( sk__48 = nil )
| ( ( app @ ( cons @ sk__51 @ nil ) @ sk__52 )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1480,zip_derived_cl201,zip_derived_cl1533,zip_derived_cl201,zip_derived_cl83,zip_derived_cl195]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl171,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(zip_derived_cl2828,plain,
( ( sk__48 = nil )
| ~ ( ssItem @ sk__51 )
| ( ( cons @ sk__51 @ sk__52 )
= sk__47 )
| ~ ( ssList @ sk__52 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1627,zip_derived_cl171]) ).
thf(zip_derived_cl81_003,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl199,plain,
( ( ssItem @ sk__51 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1482,plain,
( ~ ( ssList @ sk__50 )
| ( sk__50 = nil )
| ~ ( ssList @ nil )
| ( ssItem @ sk__51 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl199]) ).
thf(zip_derived_cl201_004,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1533_005,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl201]) ).
thf(zip_derived_cl201_006,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_007,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1557,plain,
( ( sk__48 = nil )
| ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1482,zip_derived_cl201,zip_derived_cl1533,zip_derived_cl201,zip_derived_cl83]) ).
thf(zip_derived_cl2866,plain,
( ~ ( ssList @ sk__52 )
| ( ( cons @ sk__51 @ sk__52 )
= sk__47 )
| ( sk__48 = nil ) ),
inference(clc,[status(thm)],[zip_derived_cl2828,zip_derived_cl1557]) ).
thf(zip_derived_cl81_008,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl196,plain,
( ( ssList @ sk__52 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1479,plain,
( ~ ( ssList @ sk__50 )
| ( sk__50 = nil )
| ~ ( ssList @ nil )
| ( ssList @ sk__52 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl196]) ).
thf(zip_derived_cl201_009,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1533_010,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl201]) ).
thf(zip_derived_cl201_011,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_012,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1546,plain,
( ( sk__48 = nil )
| ( ssList @ sk__52 ) ),
inference(demod,[status(thm)],[zip_derived_cl1479,zip_derived_cl201,zip_derived_cl1533,zip_derived_cl201,zip_derived_cl83]) ).
thf(zip_derived_cl2867,plain,
( ( sk__48 = nil )
| ( ( cons @ sk__51 @ sk__52 )
= sk__47 ) ),
inference(clc,[status(thm)],[zip_derived_cl2866,zip_derived_cl1546]) ).
thf(ax37,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( cons @ V @ W ) @ U )
<=> ( ( U = V )
| ( memberP @ W @ U ) ) ) ) ) ) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ ( cons @ X0 @ X1 ) @ X2 )
| ( X2 = X0 )
| ( memberP @ X1 @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl2874,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( ssItem @ sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ( memberP @ sk__52 @ X0 )
| ~ ( ssList @ sk__52 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2867,zip_derived_cl110]) ).
thf(zip_derived_cl1557_013,plain,
( ( sk__48 = nil )
| ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1482,zip_derived_cl201,zip_derived_cl1533,zip_derived_cl201,zip_derived_cl83]) ).
thf(zip_derived_cl6316,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__52 )
| ( memberP @ sk__52 @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( sk__48 = nil ) ),
inference(clc,[status(thm)],[zip_derived_cl2874,zip_derived_cl1557]) ).
thf(zip_derived_cl1546_014,plain,
( ( sk__48 = nil )
| ( ssList @ sk__52 ) ),
inference(demod,[status(thm)],[zip_derived_cl1479,zip_derived_cl201,zip_derived_cl1533,zip_derived_cl201,zip_derived_cl83]) ).
thf(zip_derived_cl6317,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ( memberP @ sk__52 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6316,zip_derived_cl1546]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl81_015,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl198,plain,
( ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
= sk__50 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1481,plain,
( ~ ( ssList @ sk__50 )
| ( sk__50 = nil )
| ~ ( ssList @ nil )
| ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
= sk__50 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl198]) ).
thf(zip_derived_cl201_016,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1533_017,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl201]) ).
thf(zip_derived_cl201_018,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_019,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl201_020,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1653,plain,
( ( sk__48 = nil )
| ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
= sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1481,zip_derived_cl201,zip_derived_cl1533,zip_derived_cl201,zip_derived_cl83,zip_derived_cl201]) ).
thf(ax36,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( app @ V @ W ) @ U )
<=> ( ( memberP @ V @ U )
| ( memberP @ W @ U ) ) ) ) ) ) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X0 @ X1 )
| ( memberP @ ( app @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl2218,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( ssList @ sk__52 )
| ~ ( memberP @ sk__52 @ X0 )
| ( memberP @ sk__48 @ X0 )
| ~ ( ssList @ ( cons @ sk__51 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1653,zip_derived_cl108]) ).
thf(zip_derived_cl1546_021,plain,
( ( sk__48 = nil )
| ( ssList @ sk__52 ) ),
inference(demod,[status(thm)],[zip_derived_cl1479,zip_derived_cl201,zip_derived_cl1533,zip_derived_cl201,zip_derived_cl83]) ).
thf(zip_derived_cl5397,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ sk__51 @ nil ) )
| ( memberP @ sk__48 @ X0 )
| ~ ( memberP @ sk__52 @ X0 )
| ( sk__48 = nil ) ),
inference(clc,[status(thm)],[zip_derived_cl2218,zip_derived_cl1546]) ).
thf(zip_derived_cl5398,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__51 )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__48 @ X0 )
| ~ ( memberP @ sk__52 @ X0 )
| ( sk__48 = nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl5397]) ).
thf(zip_derived_cl83_022,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl5399,plain,
! [X0: $i] :
( ~ ( ssItem @ sk__51 )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__48 @ X0 )
| ~ ( memberP @ sk__52 @ X0 )
| ( sk__48 = nil ) ),
inference(demod,[status(thm)],[zip_derived_cl5398,zip_derived_cl83]) ).
thf(zip_derived_cl1557_023,plain,
( ( sk__48 = nil )
| ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1482,zip_derived_cl201,zip_derived_cl1533,zip_derived_cl201,zip_derived_cl83]) ).
thf(zip_derived_cl6991,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( memberP @ sk__52 @ X0 )
| ( memberP @ sk__48 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl5399,zip_derived_cl1557]) ).
thf(zip_derived_cl6994,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( sk__48 = nil )
| ( sk__48 = nil )
| ( memberP @ sk__48 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6317,zip_derived_cl6991]) ).
thf(zip_derived_cl6997,plain,
! [X0: $i] :
( ( memberP @ sk__48 @ X0 )
| ( sk__48 = nil )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6994]) ).
thf(zip_derived_cl192_024,plain,
~ ( memberP @ sk__48 @ sk__53 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30941,plain,
( ~ ( ssItem @ sk__53 )
| ( sk__53 = sk__51 )
| ~ ( memberP @ sk__47 @ sk__53 )
| ( sk__48 = nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6997,zip_derived_cl192]) ).
thf(zip_derived_cl194,plain,
ssItem @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl193,plain,
memberP @ sk__47 @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30948,plain,
( ( sk__53 = sk__51 )
| ( sk__48 = nil ) ),
inference(demod,[status(thm)],[zip_derived_cl30941,zip_derived_cl194,zip_derived_cl193]) ).
thf(zip_derived_cl192_025,plain,
~ ( memberP @ sk__48 @ sk__53 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30955,plain,
( ( sk__48 = nil )
| ~ ( memberP @ sk__48 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30948,zip_derived_cl192]) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ( X1 != X0 )
| ( memberP @ ( cons @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl2119,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl2120,plain,
! [X0: $i,X1: $i] :
( ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2119]) ).
thf(zip_derived_cl82_026,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl1653_027,plain,
( ( sk__48 = nil )
| ( ( app @ sk__52 @ ( cons @ sk__51 @ nil ) )
= sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1481,zip_derived_cl201,zip_derived_cl1533,zip_derived_cl201,zip_derived_cl83,zip_derived_cl201]) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X1 @ X2 )
| ( memberP @ ( app @ X0 @ X1 ) @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl2245,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( ssList @ sk__52 )
| ~ ( memberP @ ( cons @ sk__51 @ nil ) @ X0 )
| ( memberP @ sk__48 @ X0 )
| ~ ( ssList @ ( cons @ sk__51 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1653,zip_derived_cl109]) ).
thf(zip_derived_cl1546_028,plain,
( ( sk__48 = nil )
| ( ssList @ sk__52 ) ),
inference(demod,[status(thm)],[zip_derived_cl1479,zip_derived_cl201,zip_derived_cl1533,zip_derived_cl201,zip_derived_cl83]) ).
thf(zip_derived_cl5431,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ sk__51 @ nil ) )
| ( memberP @ sk__48 @ X0 )
| ~ ( memberP @ ( cons @ sk__51 @ nil ) @ X0 )
| ( sk__48 = nil ) ),
inference(clc,[status(thm)],[zip_derived_cl2245,zip_derived_cl1546]) ).
thf(zip_derived_cl5432,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__51 )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__48 @ X0 )
| ~ ( memberP @ ( cons @ sk__51 @ nil ) @ X0 )
| ( sk__48 = nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl5431]) ).
thf(zip_derived_cl83_029,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl5433,plain,
! [X0: $i] :
( ~ ( ssItem @ sk__51 )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__48 @ X0 )
| ~ ( memberP @ ( cons @ sk__51 @ nil ) @ X0 )
| ( sk__48 = nil ) ),
inference(demod,[status(thm)],[zip_derived_cl5432,zip_derived_cl83]) ).
thf(zip_derived_cl1557_030,plain,
( ( sk__48 = nil )
| ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1482,zip_derived_cl201,zip_derived_cl1533,zip_derived_cl201,zip_derived_cl83]) ).
thf(zip_derived_cl15092,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( memberP @ ( cons @ sk__51 @ nil ) @ X0 )
| ( memberP @ sk__48 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl5433,zip_derived_cl1557]) ).
thf(zip_derived_cl15098,plain,
( ~ ( ssItem @ sk__51 )
| ~ ( ssList @ nil )
| ( sk__48 = nil )
| ( memberP @ sk__48 @ sk__51 )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2120,zip_derived_cl15092]) ).
thf(zip_derived_cl83_031,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl15107,plain,
( ~ ( ssItem @ sk__51 )
| ( sk__48 = nil )
| ( memberP @ sk__48 @ sk__51 )
| ~ ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl15098,zip_derived_cl83]) ).
thf(zip_derived_cl15108,plain,
( ( memberP @ sk__48 @ sk__51 )
| ( sk__48 = nil )
| ~ ( ssItem @ sk__51 ) ),
inference(simplify,[status(thm)],[zip_derived_cl15107]) ).
thf(zip_derived_cl1557_032,plain,
( ( sk__48 = nil )
| ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1482,zip_derived_cl201,zip_derived_cl1533,zip_derived_cl201,zip_derived_cl83]) ).
thf(zip_derived_cl15115,plain,
( ( sk__48 = nil )
| ( memberP @ sk__48 @ sk__51 ) ),
inference(clc,[status(thm)],[zip_derived_cl15108,zip_derived_cl1557]) ).
thf(zip_derived_cl30973,plain,
sk__48 = nil,
inference(clc,[status(thm)],[zip_derived_cl30955,zip_derived_cl15115]) ).
thf(zip_derived_cl30974,plain,
~ ( memberP @ nil @ sk__53 ),
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl30973]) ).
thf(zip_derived_cl193_033,plain,
memberP @ sk__47 @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200,plain,
( ( nil = sk__49 )
| ( nil != sk__50 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195_034,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1530,plain,
( ( nil = sk__47 )
| ( nil != sk__50 ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl195]) ).
thf(zip_derived_cl201_035,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1531,plain,
( ( nil = sk__47 )
| ( nil != sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1530,zip_derived_cl201]) ).
thf(zip_derived_cl30973_036,plain,
sk__48 = nil,
inference(clc,[status(thm)],[zip_derived_cl30955,zip_derived_cl15115]) ).
thf(zip_derived_cl30976,plain,
( ( nil = sk__47 )
| ( nil != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl1531,zip_derived_cl30973]) ).
thf(zip_derived_cl30977,plain,
nil = sk__47,
inference(simplify,[status(thm)],[zip_derived_cl30976]) ).
thf(zip_derived_cl31006,plain,
memberP @ nil @ sk__53,
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl30977]) ).
thf(zip_derived_cl31082,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl30974,zip_derived_cl31006]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC397+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TfjI0zdjsj true
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 16:42:55 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.49/0.60 % Total configuration time : 435
% 0.49/0.60 % Estimated wc time : 1092
% 0.49/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 58.08/8.89 % Solved by fo/fo6_bce.sh.
% 58.08/8.89 % BCE start: 204
% 58.08/8.89 % BCE eliminated: 4
% 58.08/8.89 % PE start: 200
% 58.08/8.89 logic: eq
% 58.08/8.89 % PE eliminated: 4
% 58.08/8.89 % done 4464 iterations in 8.184s
% 58.08/8.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 58.08/8.89 % SZS output start Refutation
% See solution above
% 58.08/8.89
% 58.08/8.89
% 58.08/8.89 % Terminating...
% 58.08/8.93 % Runner terminated.
% 58.08/8.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------