%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC399+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7Xixdxewlj true
% Computer : n031.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 04:59:39 PM UTC 2025
% Result : Theorem 0.54s 1.04s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 120 ( 22 equ; 0 cnn)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 347 ( 58 ~; 60 |; 18 &; 197 @)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 34 !; 12 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(equalelemsP_type,type,
equalelemsP: $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__10_type,type,
sk__10: $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] :
( ( ( nil = W )
& ( nil != X ) )
| ! [X7: $i] :
( ( memberP @ V @ X7 )
| ~ ( memberP @ U @ X7 )
| ~ ( ssItem @ X7 ) )
| ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ? [X4: $i] :
( ? [X5: $i] :
( ? [X6: $i] :
( ( ( app @ X6 @ ( cons @ X4 @ nil ) )
= W )
& ( ssList @ X6 ) )
& ( ( app @ ( cons @ X4 @ nil ) @ X5 )
= Z )
& ( ssList @ X5 ) )
& ( ssItem @ X4 ) )
| ? [X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( app @ ( cons @ X1 @ nil ) @ X3 )
= W )
& ( ssList @ X3 ) )
& ( ( app @ X2 @ ( cons @ X1 @ nil ) )
= Y )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) )
| ~ ( equalelemsP @ W )
| ( ( app @ ( app @ Y @ W ) @ Z )
!= X )
| ~ ( ssList @ Z ) ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ( nil = W )
& ( nil != X ) )
| ! [X7: $i] :
( ( memberP @ V @ X7 )
| ~ ( memberP @ U @ X7 )
| ~ ( ssItem @ X7 ) )
| ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ? [X4: $i] :
( ? [X5: $i] :
( ? [X6: $i] :
( ( ( app @ X6 @ ( cons @ X4 @ nil ) )
= W )
& ( ssList @ X6 ) )
& ( ( app @ ( cons @ X4 @ nil ) @ X5 )
= Z )
& ( ssList @ X5 ) )
& ( ssItem @ X4 ) )
| ? [X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( app @ ( cons @ X1 @ nil ) @ X3 )
= W )
& ( ssList @ X3 ) )
& ( ( app @ X2 @ ( cons @ X1 @ nil ) )
= Y )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) )
| ~ ( equalelemsP @ W )
| ( ( app @ ( app @ Y @ W ) @ Z )
!= X )
| ~ ( ssList @ Z ) ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl45,plain,
~ ( memberP @ sk__11 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax26,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
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_cl28,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_cl54,plain,
( ( app @ ( app @ sk__14 @ sk__12 ) @ sk__15 )
= sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl48,plain,
sk__10 = sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56,plain,
sk__11 = sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl356,plain,
( ( app @ ( app @ sk__14 @ sk__10 ) @ sk__15 )
= sk__11 ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl48,zip_derived_cl56]) ).
thf(zip_derived_cl27,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_cl825,plain,
! [X0: $i] :
( ( memberP @ sk__11 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__15 )
| ~ ( memberP @ ( app @ sk__14 @ sk__10 ) @ X0 )
| ~ ( ssList @ ( app @ sk__14 @ sk__10 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl356,zip_derived_cl27]) ).
thf(zip_derived_cl55,plain,
ssList @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl841,plain,
! [X0: $i] :
( ( memberP @ sk__11 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( memberP @ ( app @ sk__14 @ sk__10 ) @ X0 )
| ~ ( ssList @ ( app @ sk__14 @ sk__10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl825,zip_derived_cl55]) ).
thf(zip_derived_cl1820,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__10 )
| ~ ( memberP @ sk__10 @ X0 )
| ~ ( ssList @ sk__14 )
| ~ ( ssList @ ( app @ sk__14 @ sk__10 ) )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl841]) ).
thf(zip_derived_cl43,plain,
ssList @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
ssList @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1823,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__10 @ X0 )
| ~ ( ssList @ ( app @ sk__14 @ sk__10 ) )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__11 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1820,zip_derived_cl43,zip_derived_cl50]) ).
thf(zip_derived_cl1824,plain,
! [X0: $i] :
( ( memberP @ sk__11 @ X0 )
| ~ ( ssList @ ( app @ sk__14 @ sk__10 ) )
| ~ ( memberP @ sk__10 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1823]) ).
thf(zip_derived_cl1861,plain,
! [X0: $i] :
( ~ ( ssList @ sk__14 )
| ~ ( ssList @ sk__10 )
| ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__10 @ X0 )
| ( memberP @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl1824]) ).
thf(zip_derived_cl50_001,plain,
ssList @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_002,plain,
ssList @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1863,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__10 @ X0 )
| ( memberP @ sk__11 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1861,zip_derived_cl50,zip_derived_cl43]) ).
thf(zip_derived_cl1867,plain,
( ~ ( memberP @ sk__10 @ sk__16 )
| ~ ( ssItem @ sk__16 ) ),
inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl1863]) ).
thf(zip_derived_cl46,plain,
memberP @ sk__10 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
ssItem @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1868,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1867,zip_derived_cl46,zip_derived_cl47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC399+1 : TPTP v9.2.0. Released v2.4.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7Xixdxewlj true
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 17:11:23 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.52/0.63 % Total configuration time : 435
% 0.52/0.63 % Estimated wc time : 1092
% 0.52/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/1.04 % Solved by fo/fo3_bce.sh.
% 0.54/1.04 % BCE start: 59
% 0.54/1.04 % BCE eliminated: 0
% 0.54/1.04 % PE start: 59
% 0.54/1.04 logic: eq
% 0.54/1.04 % PE eliminated: 1
% 0.54/1.04 % done 316 iterations in 0.297s
% 0.54/1.04 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/1.04 % SZS output start Refutation
% See solution above
% 0.54/1.04
% 0.54/1.04
% 0.54/1.04 % Terminating...
% 3.60/1.17 % Runner terminated.
% 3.60/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------