%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC198+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ii7Znu3ZlR true
% Computer : n007.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 Oct 2 04:58:55 PM UTC 2025
% Result : Theorem 5.78s 1.46s
% Output : Refutation 5.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 140 ( 53 equ; 0 cnn)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 297 ( 58 ~; 55 |; 12 &; 147 @)
% ( 1 <=>; 16 =>; 8 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 43 ( 0 ^; 37 !; 6 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(nil_type,type,
nil: $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__52_type,type,
sk__52: $i > $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(sk__50_type,type,
sk__50: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
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] :
( ! [Z: $i] :
( ( ssItem @ Z )
=> ( ~ ( memberP @ U @ Z )
| ( Y = Z ) ) )
& ( ssItem @ Y ) )
| ( ! [X1: $i] :
( ( ssItem @ X1 )
=> ( ( ( cons @ X1 @ nil )
!= W )
| ~ ( memberP @ X @ X1 )
| ? [X2: $i] :
( ( leq @ X1 @ X2 )
& ( memberP @ X @ X2 )
& ( X1 != X2 )
& ( ssItem @ X2 ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ) ).
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] :
( ! [Z: $i] :
( ( ssItem @ Z )
=> ( ~ ( memberP @ U @ Z )
| ( Y = Z ) ) )
& ( ssItem @ Y ) )
| ( ! [X1: $i] :
( ( ssItem @ X1 )
=> ( ( ( cons @ X1 @ nil )
!= W )
| ~ ( memberP @ X @ X1 )
| ? [X2: $i] :
( ( leq @ X1 @ X2 )
& ( memberP @ X @ X2 )
& ( X1 != X2 )
& ( ssItem @ X2 ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl202,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__50 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl219,plain,
( ( ssItem @ sk__51 )
<= ( ssItem @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl202]) ).
thf(zip_derived_cl197,plain,
! [X1: $i] :
( ~ ( ssItem @ X1 )
| ( sk__51 = X1 )
| ~ ( memberP @ sk__50 @ X1 )
| ~ ( leq @ sk__51 @ X1 )
| ( nil = sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl210,plain,
( ( nil = sk__49 )
<= ( nil = sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl197]) ).
thf(zip_derived_cl195,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl228,plain,
( ( sk__47 = nil )
<= ( nil = sk__49 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl210,zip_derived_cl195]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] :
( ( memberP @ sk__47 @ ( sk__52 @ X0 ) )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1432,plain,
( ! [X0: $i] :
( ( memberP @ nil @ ( sk__52 @ X0 ) )
| ~ ( ssItem @ X0 ) )
<= ( nil = sk__49 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl228,zip_derived_cl193]) ).
thf(ax38,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ~ ( memberP @ nil @ U ) ) ).
thf(zip_derived_cl113,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl1461,plain,
( ! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssItem @ ( sk__52 @ X0 ) ) )
<= ( nil = sk__49 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1432,zip_derived_cl113]) ).
thf(zip_derived_cl194,plain,
! [X0: $i] :
( ( ssItem @ ( sk__52 @ X0 ) )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1462,plain,
( ! [X0: $i] :
~ ( ssItem @ X0 )
<= ( nil = sk__49 ) ),
inference(clc,[status(thm)],[zip_derived_cl1461,zip_derived_cl194]) ).
thf(ax2,axiom,
? [U: $i] :
( ? [V: $i] :
( ( U != V )
& ( ssItem @ V ) )
& ( ssItem @ U ) ) ).
thf(zip_derived_cl2,plain,
ssItem @ sk_,
inference(cnf,[status(esa)],[ax2]) ).
thf('0',plain,
nil != sk__49,
inference('s_sup+',[status(thm)],[zip_derived_cl1462,zip_derived_cl2]) ).
thf(zip_derived_cl203,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ( ssItem @ sk__51 )
| ( nil = sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl203]) ).
thf('2',plain,
ssItem @ sk__51,
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl1524,plain,
ssItem @ sk__51,
inference(simpl_trail,[status(thm)],[zip_derived_cl219,'2']) ).
thf(zip_derived_cl200,plain,
( ( ( cons @ sk__51 @ nil )
= sk__49 )
| ( nil = sk__50 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl215,plain,
( ( ( cons @ sk__51 @ nil )
= sk__49 )
<= ( ( cons @ sk__51 @ nil )
= sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl200]) ).
thf(zip_derived_cl195_001,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1522,plain,
( ( ( cons @ sk__51 @ nil )
= sk__47 )
<= ( ( cons @ sk__51 @ nil )
= sk__49 ) ),
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl195]) ).
thf(zip_derived_cl201,plain,
( ( ( cons @ sk__51 @ nil )
= sk__49 )
| ( nil = sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ( ( cons @ sk__51 @ nil )
= sk__49 )
| ( nil = sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl201]) ).
thf('4',plain,
( ( cons @ sk__51 @ nil )
= sk__49 ),
inference('sat_resolution*',[status(thm)],['0','3']) ).
thf(zip_derived_cl1523,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1522,'4']) ).
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_cl3181,plain,
! [X0: $i] :
( ~ ( ssItem @ sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ( memberP @ nil @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl110]) ).
thf(zip_derived_cl1524_002,plain,
ssItem @ sk__51,
inference(simpl_trail,[status(thm)],[zip_derived_cl219,'2']) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3187,plain,
! [X0: $i] :
( ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3181,zip_derived_cl1524,zip_derived_cl83]) ).
thf(zip_derived_cl113_003,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl3212,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3187,zip_derived_cl113]) ).
thf(zip_derived_cl193_004,plain,
! [X0: $i] :
( ( memberP @ sk__47 @ ( sk__52 @ X0 ) )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3215,plain,
! [X0: $i] :
( ( ( sk__52 @ X0 )
= sk__51 )
| ~ ( ssItem @ ( sk__52 @ X0 ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3212,zip_derived_cl193]) ).
thf(zip_derived_cl194_005,plain,
! [X0: $i] :
( ( ssItem @ ( sk__52 @ X0 ) )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3225,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( sk__52 @ X0 )
= sk__51 ) ),
inference(clc,[status(thm)],[zip_derived_cl3215,zip_derived_cl194]) ).
thf(zip_derived_cl192,plain,
! [X0: $i] :
( ( X0
!= ( sk__52 @ X0 ) )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3226,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 != sk__51 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3225,zip_derived_cl192]) ).
thf(zip_derived_cl3229,plain,
! [X0: $i] :
( ( X0 != sk__51 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3226]) ).
thf(zip_derived_cl3274,plain,
sk__51 != sk__51,
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl3229]) ).
thf(zip_derived_cl3276,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC198+1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ii7Znu3ZlR true
% 0.14/0.35 % Computer : n007.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 : Wed Oct 1 17:07:23 EDT 2025
% 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 FO mode
% 0.55/0.67 % Total configuration time : 435
% 0.55/0.67 % Estimated wc time : 1092
% 0.55/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.78/1.46 % Solved by fo/fo1_av.sh.
% 5.78/1.46 % done 927 iterations in 0.674s
% 5.78/1.46 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.78/1.46 % SZS output start Refutation
% See solution above
% 5.78/1.46
% 5.78/1.46
% 5.78/1.46 % Terminating...
% 6.66/1.57 % Runner terminated.
% 6.66/1.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------