%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC027+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.3zwCYg2HRJ true
% Computer : n018.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 04:58:19 PM UTC 2025
% Result : Theorem 0.45s 0.84s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 53 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 142 ( 83 equ; 0 cnn)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 247 ( 55 ~; 47 |; 13 &; 103 @)
% ( 0 <=>; 13 =>; 16 <=; 0 <~>)
% Maximal formula depth : 23 ( 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 : 20 ( 0 ^; 18 !; 2 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__50_type,type,
sk__50: $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(sk__48_type,type,
sk__48: $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] :
( ( ssItem @ Y )
=> ( ( ( cons @ Y @ nil )
!= W )
| ~ ( memberP @ X @ Y )
| ? [Z: $i] :
( ( leq @ Y @ Z )
& ( memberP @ X @ Z )
& ( Y != Z )
& ( ssItem @ Z ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ( nil != U )
| ( nil = V ) ) ) ) ) ) ) ) ).
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 )
| ? [Z: $i] :
( ( leq @ Y @ Z )
& ( memberP @ X @ Z )
& ( Y != Z )
& ( ssItem @ Z ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ( nil != U )
| ( nil = V ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl192,plain,
( ( nil = sk__48 )
| ( nil = sk__47 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl208,plain,
( ( nil = sk__48 )
<= ( nil = sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl192]) ).
thf(zip_derived_cl205,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
( ( memberP @ sk__50 @ sk__51 )
| ( nil = sk__50 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl216,plain,
( ( memberP @ sk__50 @ sk__51 )
<= ( memberP @ sk__50 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl199]) ).
thf(zip_derived_cl252,plain,
( ( memberP @ sk__48 @ sk__51 )
<= ( memberP @ sk__50 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl205,zip_derived_cl216]) ).
thf(zip_derived_cl256,plain,
( ( memberP @ nil @ sk__51 )
<= ( ( nil = sk__48 )
& ( memberP @ sk__50 @ sk__51 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl208,zip_derived_cl252]) ).
thf(zip_derived_cl201,plain,
( ( ( cons @ sk__51 @ nil )
= sk__49 )
| ( nil = sk__50 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ( ( cons @ sk__51 @ nil )
= sk__49 )
| ( nil = sk__50 ) ),
inference(split,[status(esa)],[zip_derived_cl201]) ).
thf(zip_derived_cl203,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__50 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ( ssItem @ sk__51 )
| ( nil = sk__50 ) ),
inference(split,[status(esa)],[zip_derived_cl203]) ).
thf(zip_derived_cl197,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( sk__51 = X0 )
| ~ ( memberP @ sk__50 @ X0 )
| ~ ( leq @ sk__51 @ X0 )
| ( nil = sk__50 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl213,plain,
( ( nil = sk__50 )
<= ( nil = sk__50 ) ),
inference(split,[status(esa)],[zip_derived_cl197]) ).
thf(zip_derived_cl205_001,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl253,plain,
( ( sk__48 = nil )
<= ( nil = sk__50 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl205]) ).
thf(zip_derived_cl195,plain,
( ( nil != sk__47 )
| ( nil != sk__48 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl210,plain,
( ( nil != sk__48 )
<= ( nil != sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl254,plain,
( ( nil != nil )
<= ( ( nil != sk__48 )
& ( nil = sk__50 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl210]) ).
thf('2',plain,
( ( nil != sk__50 )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl254]) ).
thf('3',plain,
( ( nil != sk__47 )
| ( nil != sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl220,plain,
( ( ( cons @ sk__51 @ nil )
= sk__49 )
<= ( ( cons @ sk__51 @ nil )
= sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl201]) ).
thf(ax21,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( nil
!= ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( nil
!= ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax21]) ).
thf(zip_derived_cl245,plain,
( ( ~ ( ssItem @ sk__51 )
| ( nil != sk__49 )
| ~ ( ssList @ nil ) )
<= ( ( cons @ sk__51 @ nil )
= sk__49 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl90]) ).
thf(zip_derived_cl196,plain,
sk__47 = sk__49,
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_cl246,plain,
( ( ~ ( ssItem @ sk__51 )
| ( nil != sk__47 ) )
<= ( ( cons @ sk__51 @ nil )
= sk__49 ) ),
inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl196,zip_derived_cl83]) ).
thf('4',plain,
( ( nil != sk__47 )
| ( ( cons @ sk__51 @ nil )
!= sk__49 )
| ~ ( ssItem @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl246]) ).
thf('5',plain,
( ( nil = sk__48 )
| ( nil = sk__47 ) ),
inference(split,[status(esa)],[zip_derived_cl192]) ).
thf('6',plain,
nil = sk__48,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5']) ).
thf(zip_derived_cl198,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( sk__51 = X0 )
| ~ ( memberP @ sk__50 @ X0 )
| ~ ( leq @ sk__51 @ X0 )
| ( nil = sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl215,plain,
( ( nil = sk__49 )
<= ( nil = sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl198]) ).
thf(zip_derived_cl196_002,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl242,plain,
( ( sk__47 = nil )
<= ( nil = sk__49 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl196]) ).
thf(zip_derived_cl211,plain,
( ( nil != sk__47 )
<= ( nil != sk__47 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl243,plain,
( ( nil != nil )
<= ( ( nil != sk__47 )
& ( nil = sk__49 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl211]) ).
thf('7',plain,
( ( nil != sk__49 )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl243]) ).
thf(zip_derived_cl200,plain,
( ( memberP @ sk__50 @ sk__51 )
| ( nil = sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
( ( memberP @ sk__50 @ sk__51 )
| ( nil = sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl200]) ).
thf('9',plain,
memberP @ sk__50 @ sk__51,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','7','8']) ).
thf(zip_derived_cl258,plain,
memberP @ nil @ sk__51,
inference(simpl_trail,[status(thm)],[zip_derived_cl256,'6','9']) ).
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_cl269,plain,
~ ( ssItem @ sk__51 ),
inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl113]) ).
thf(zip_derived_cl224,plain,
( ( ssItem @ sk__51 )
<= ( ssItem @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl203]) ).
thf(zip_derived_cl204,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('10',plain,
( ( ssItem @ sk__51 )
| ( nil = sk__49 ) ),
inference(split,[status(esa)],[zip_derived_cl204]) ).
thf('11',plain,
ssItem @ sk__51,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','7','10']) ).
thf(zip_derived_cl267,plain,
ssItem @ sk__51,
inference(simpl_trail,[status(thm)],[zip_derived_cl224,'11']) ).
thf(zip_derived_cl274,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.14 % Problem : SWC027+1 : TPTP v9.2.0. Released v2.4.0.
% 0.02/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3zwCYg2HRJ true
% 0.09/0.34 % Computer : n018.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8042.1875MB
% 0.09/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Wed Oct 1 17:09:38 EDT 2025
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Running portfolio for 300 s
% 0.09/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Number of cores: 8
% 0.09/0.35 % Python version: Python 3.6.8
% 0.09/0.35 % Running in FO mode
% 0.40/0.59 % Total configuration time : 435
% 0.40/0.59 % Estimated wc time : 1092
% 0.40/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.44/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.44/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.44/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.44/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.44/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.45/0.84 % Solved by fo/fo1_av.sh.
% 0.45/0.84 % done 65 iterations in 0.067s
% 0.45/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.45/0.84 % SZS output start Refutation
% See solution above
% 0.45/0.84
% 0.45/0.84
% 0.45/0.84 % Terminating...
% 1.67/0.94 % Runner terminated.
% 1.67/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------