%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC357+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.GaGiISnhtV true
% Computer : n028.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 04:59:29 PM UTC 2025
% Result : Theorem 1.30s 2.30s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 133 ( 27 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 343 ( 74 ~; 67 |; 5 &; 177 @)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 52 ( 0 ^; 49 !; 3 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
frontsegP: $i > $i > $o ).
thf(sk__48_type,type,
sk__48: $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__49_type,type,
sk__49: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(sk__47_type,type,
sk__47: $i ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__50_type,type,
sk__50: $i ).
thf(ax5,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( frontsegP @ U @ V )
<=> ? [W: $i] :
( ( ( app @ V @ W )
= U )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X1 @ X0 )
| ( ( app @ X0 @ ( sk__5 @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(ax7,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( segmentP @ U @ V )
<=> ? [W: $i] :
( ? [X: $i] :
( ( ( app @ ( app @ W @ V ) @ X )
= U )
& ( ssList @ X ) )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ X0 ) @ X1 )
!= X2 )
| ~ ( ssList @ X3 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1637,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X2 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ nil )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl21]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1646,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X2 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1637,zip_derived_cl83]) ).
thf(zip_derived_cl1647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1646]) ).
thf(zip_derived_cl1675,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ ( app @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ ( app @ X0 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1647]) ).
thf(ax26,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl1819,plain,
! [X0: $i,X1: $i] :
( ( segmentP @ ( app @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1675,zip_derived_cl95]) ).
thf(zip_derived_cl1823,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X0 @ X1 )
| ~ ( ssList @ X1 )
| ( segmentP @ X0 @ X1 )
| ~ ( ssList @ ( sk__5 @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl1819]) ).
thf(zip_derived_cl1833,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ ( sk__5 @ X1 @ X0 ) )
| ( segmentP @ X0 @ X1 )
| ~ ( ssList @ X1 )
| ~ ( frontsegP @ X0 @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1823]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X1 @ X0 )
| ( ssList @ ( sk__5 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1879,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X0 @ X1 )
| ~ ( ssList @ X1 )
| ( segmentP @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1833,zip_derived_cl13]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ~ ( neq @ V @ nil )
| ( segmentP @ V @ U )
| ( ( ( nil != X )
| ( nil != W ) )
& ( ~ ( neq @ W @ nil )
| ~ ( frontsegP @ X @ 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 )
| ~ ( neq @ V @ nil )
| ( segmentP @ V @ U )
| ( ( ( nil != X )
| ( nil != W ) )
& ( ~ ( neq @ W @ nil )
| ~ ( frontsegP @ X @ W ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl192,plain,
~ ( segmentP @ sk__48 @ sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1882,plain,
( ~ ( ssList @ sk__47 )
| ~ ( frontsegP @ sk__48 @ sk__47 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1879,zip_derived_cl192]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196,plain,
( ( nil = sk__50 )
| ( frontsegP @ sk__50 @ sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_001,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1523,plain,
( ( nil = sk__48 )
| ( frontsegP @ sk__48 @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl199,zip_derived_cl199,zip_derived_cl194]) ).
thf(zip_derived_cl193,plain,
neq @ sk__48 @ 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_cl80,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1470,plain,
( ~ ( ssList @ sk__48 )
| ( sk__48 != nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl193,zip_derived_cl80]) ).
thf(zip_derived_cl200,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_002,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1521,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl83_003,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1522,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1470,zip_derived_cl1521,zip_derived_cl83]) ).
thf(zip_derived_cl1524,plain,
frontsegP @ sk__48 @ sk__47,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1523,zip_derived_cl1522]) ).
thf(zip_derived_cl1521_004,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl1886,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1882,zip_derived_cl190,zip_derived_cl1524,zip_derived_cl1521]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.80 % Problem : SWC357+1 : TPTP v9.2.0. Released v2.4.0.
% 0.10/0.86 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GaGiISnhtV true
% 0.10/1.13 % Computer : n028.cluster.edu
% 0.10/1.13 % Model : x86_64 x86_64
% 0.10/1.13 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/1.13 % Memory : 8042.1875MB
% 0.10/1.13 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/1.13 % CPULimit : 300
% 0.10/1.13 % WCLimit : 300
% 0.10/1.13 % DateTime : Wed Oct 1 17:10:09 EDT 2025
% 0.10/1.13 % CPUTime :
% 0.10/1.13 % Running portfolio for 300 s
% 0.10/1.13 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/1.13 % Number of cores: 8
% 0.10/1.14 % Python version: Python 3.6.8
% 0.10/1.14 % Running in FO mode
% 0.29/1.53 % Total configuration time : 435
% 0.29/1.53 % Estimated wc time : 1092
% 0.29/1.53 % Estimated cpu time (7 cpus) : 156.0
% 1.23/1.86 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.27/1.96 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.27/1.97 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.27/1.98 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.27/1.99 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.29/2.01 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.29/2.01 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.30/2.30 % Solved by fo/fo6_bce.sh.
% 1.30/2.30 % BCE start: 202
% 1.30/2.30 % BCE eliminated: 5
% 1.30/2.30 % PE start: 197
% 1.30/2.30 logic: eq
% 1.30/2.30 % PE eliminated: 6
% 1.30/2.30 % done 136 iterations in 0.346s
% 1.30/2.30 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/2.30 % SZS output start Refutation
% See solution above
% 1.30/2.30
% 1.30/2.30
% 1.30/2.30 % Terminating...
% 1.62/2.43 % Runner terminated.
% 1.62/2.43 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------