%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC386+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.v9ejED4pvG true
% Computer : n011.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 04:59:36 PM UTC 2025
% Result : Theorem 0.54s 0.81s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 49 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 129 ( 67 equ; 0 cnn)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 240 ( 61 ~; 56 |; 8 &; 99 @)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 21 !; 2 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__8_type,type,
sk__8: $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__10_type,type,
sk__10: $i ).
thf(sk__9_type,type,
sk__9: $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 )
=> ( ( ( cons @ Y @ nil )
!= W )
| ~ ( memberP @ X @ Y ) ) )
& ( ( nil != X )
| ( nil != W ) ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ ( neq @ V @ nil )
| ? [Z: $i] :
( ( memberP @ V @ Z )
& ( ( cons @ Z @ nil )
= U )
& ( ssItem @ Z ) ) ) ) ) ) ) ) ) ).
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 )
=> ( ( ( cons @ Y @ nil )
!= W )
| ~ ( memberP @ X @ Y ) ) )
& ( ( nil != X )
| ( nil != W ) ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ ( neq @ V @ nil )
| ? [Z: $i] :
( ( memberP @ V @ Z )
& ( ( cons @ Z @ nil )
= U )
& ( ssItem @ Z ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl46,plain,
( ( memberP @ sk__9 @ sk__10 )
| ( nil = sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl328,plain,
( ( memberP @ sk__7 @ sk__10 )
| ( nil = sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl51,zip_derived_cl44]) ).
thf(zip_derived_cl47,plain,
( ( ( cons @ sk__10 @ nil )
= sk__8 )
| ( nil = sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_001,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_002,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl305,plain,
( ( ( cons @ sk__10 @ nil )
= sk__6 )
| ( nil = sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl44,zip_derived_cl51]) ).
thf(ax18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl307,plain,
( ( sk__6 != nil )
| ( nil = sk__7 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl13]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl12,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl309,plain,
( ( sk__6 != nil )
| ( nil = sk__7 )
| ~ ( ssItem @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl12]) ).
thf(zip_derived_cl42,plain,
( ( nil != sk__6 )
| ( neq @ sk__7 @ nil ) ),
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_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl297,plain,
( ( nil != sk__6 )
| ~ ( ssList @ sk__7 )
| ( sk__7 != nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl9]) ).
thf(zip_derived_cl303,plain,
( ( nil != sk__6 )
| ( sk__7 != nil )
| ~ ( ssList @ nil ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl297]) ).
thf(zip_derived_cl12_003,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl304,plain,
( ( nil != sk__6 )
| ( sk__7 != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl12]) ).
thf(zip_derived_cl317,plain,
( ~ ( ssItem @ sk__10 )
| ( sk__6 != nil ) ),
inference(clc,[status(thm)],[zip_derived_cl309,zip_derived_cl304]) ).
thf(zip_derived_cl49,plain,
( ( ssItem @ sk__10 )
| ( nil = sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_004,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl300,plain,
( ( ssItem @ sk__10 )
| ( nil = sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl51]) ).
thf(zip_derived_cl318,plain,
( ( sk__6 != nil )
| ( nil = sk__7 ) ),
inference('sup+',[status(thm)],[zip_derived_cl317,zip_derived_cl300]) ).
thf(zip_derived_cl304_005,plain,
( ( nil != sk__6 )
| ( sk__7 != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl12]) ).
thf(zip_derived_cl324,plain,
sk__6 != nil,
inference(clc,[status(thm)],[zip_derived_cl318,zip_derived_cl304]) ).
thf(zip_derived_cl329,plain,
memberP @ sk__7 @ sk__10,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl328,zip_derived_cl324]) ).
thf(zip_derived_cl305_006,plain,
( ( ( cons @ sk__10 @ nil )
= sk__6 )
| ( nil = sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl44,zip_derived_cl51]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( nil = sk__7 )
| ~ ( memberP @ sk__7 @ X0 )
| ( ( cons @ X0 @ nil )
!= sk__6 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl356,plain,
( ( sk__6 != sk__6 )
| ( nil = sk__7 )
| ~ ( ssItem @ sk__10 )
| ~ ( memberP @ sk__7 @ sk__10 )
| ( nil = sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl41]) ).
thf(zip_derived_cl329_007,plain,
memberP @ sk__7 @ sk__10,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl328,zip_derived_cl324]) ).
thf(zip_derived_cl358,plain,
( ( sk__6 != sk__6 )
| ( nil = sk__7 )
| ~ ( ssItem @ sk__10 )
| ( nil = sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl329]) ).
thf(zip_derived_cl359,plain,
( ~ ( ssItem @ sk__10 )
| ( nil = sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl358]) ).
thf(zip_derived_cl300_008,plain,
( ( ssItem @ sk__10 )
| ( nil = sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl51]) ).
thf(zip_derived_cl363,plain,
nil = sk__7,
inference(clc,[status(thm)],[zip_derived_cl359,zip_derived_cl300]) ).
thf(zip_derived_cl366,plain,
memberP @ nil @ sk__10,
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl363]) ).
thf(ax38,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ~ ( memberP @ nil @ U ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl369,plain,
~ ( ssItem @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl29]) ).
thf(zip_derived_cl50,plain,
( ( ssItem @ sk__10 )
| ( nil = sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_009,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl301,plain,
( ( ssItem @ sk__10 )
| ( nil = sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl44]) ).
thf(zip_derived_cl324_010,plain,
sk__6 != nil,
inference(clc,[status(thm)],[zip_derived_cl318,zip_derived_cl304]) ).
thf(zip_derived_cl371,plain,
ssItem @ sk__10,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl301,zip_derived_cl324]) ).
thf(zip_derived_cl372,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : SWC386+1 : TPTP v9.2.0. Released v2.4.0.
% 0.12/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.v9ejED4pvG true
% 0.12/0.36 % Computer : n011.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Wed Oct 1 17:07:23 EDT 2025
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Running portfolio for 300 s
% 0.12/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Number of cores: 8
% 0.12/0.37 % Python version: Python 3.6.8
% 0.12/0.37 % Running in FO mode
% 0.50/0.66 % Total configuration time : 435
% 0.50/0.66 % Estimated wc time : 1092
% 0.50/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.81 % Solved by fo/fo3_bce.sh.
% 0.54/0.81 % BCE start: 54
% 0.54/0.81 % BCE eliminated: 3
% 0.54/0.81 % PE start: 51
% 0.54/0.81 logic: eq
% 0.54/0.81 % PE eliminated: 1
% 0.54/0.81 % done 44 iterations in 0.027s
% 0.54/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.81 % SZS output start Refutation
% See solution above
% 0.54/0.81
% 0.54/0.81
% 0.54/0.81 % Terminating...
% 0.58/0.87 % Runner terminated.
% 0.58/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------