%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC065+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.f4MzoDeSOU true
% Computer : n003.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 04:58:28 PM UTC 2025
% Result : Theorem 0.56s 1.01s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 62 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 198 ( 77 equ; 0 cnn)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 433 ( 95 ~; 94 |; 21 &; 202 @)
% ( 3 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 56 ( 0 ^; 46 !; 10 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__50_type,type,
sk__50: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(equalelemsP_type,type,
equalelemsP: $i > $o ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(sk__48_type,type,
sk__48: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(segmentP_type,type,
segmentP: $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] :
( ( ssList @ Y )
=> ( ( ( app @ W @ Y )
!= X )
| ~ ( equalelemsP @ W )
| ? [Z: $i] :
( ? [X1: $i] :
( ? [X2: $i] :
( ( ( app @ X2 @ ( cons @ Z @ nil ) )
= W )
& ( ssList @ X2 ) )
& ( ( app @ ( cons @ Z @ nil ) @ X1 )
= Y )
& ( ssList @ X1 ) )
& ( ssItem @ Z ) ) ) )
| ( ( nil != X )
& ( nil = W ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ ( neq @ V @ nil )
| ? [X3: $i] :
( ( segmentP @ U @ X3 )
& ( segmentP @ V @ X3 )
& ( neq @ X3 @ nil )
& ( ssList @ X3 ) ) ) ) ) ) ) ) ) ).
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] :
( ( ssList @ Y )
=> ( ( ( app @ W @ Y )
!= X )
| ~ ( equalelemsP @ W )
| ? [Z: $i] :
( ? [X1: $i] :
( ? [X2: $i] :
( ( ( app @ X2 @ ( cons @ Z @ nil ) )
= W )
& ( ssList @ X2 ) )
& ( ( app @ ( cons @ Z @ nil ) @ X1 )
= Y )
& ( ssList @ X1 ) )
& ( ssItem @ Z ) ) ) )
| ( ( nil != X )
& ( nil = W ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ ( neq @ V @ nil )
| ? [X3: $i] :
( ( segmentP @ U @ X3 )
& ( segmentP @ V @ X3 )
& ( neq @ X3 @ nil )
& ( ssList @ X3 ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl202,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl197,plain,
( ( nil = sk__50 )
| ( nil != sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1588,plain,
( ( nil = sk__50 )
| ( nil != sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196]) ).
thf(zip_derived_cl199,plain,
( ( app @ sk__49 @ sk__51 )
= sk__50 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196_001,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl202_002,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1591,plain,
( ( app @ sk__47 @ sk__51 )
= sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl196,zip_derived_cl202]) ).
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_cl1706,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_cl1716,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_cl1706,zip_derived_cl83]) ).
thf(zip_derived_cl1717,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_cl1716]) ).
thf(zip_derived_cl1730,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__47 )
| ( sk__48 != X0 )
| ~ ( ssList @ sk__51 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1591,zip_derived_cl1717]) ).
thf(zip_derived_cl198,plain,
ssList @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1738,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__47 )
| ( sk__48 != X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1730,zip_derived_cl198,zip_derived_cl190]) ).
thf(ax55,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ U ) ) ).
thf(zip_derived_cl134,plain,
! [X0: $i] :
( ( segmentP @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax55]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1522,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( X0 = nil )
| ~ ( ssList @ nil )
| ~ ( ssList @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( segmentP @ sk__47 @ X0 )
| ( nil = sk__48 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl193]) ).
thf(zip_derived_cl2300,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( ssList @ nil )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1522]) ).
thf(zip_derived_cl83_003,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2301,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2300,zip_derived_cl83]) ).
thf(zip_derived_cl1591_004,plain,
( ( app @ sk__47 @ sk__51 )
= sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl196,zip_derived_cl202]) ).
thf(ax83,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil
= ( app @ U @ V ) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ) ).
thf(zip_derived_cl174,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ( nil = X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(zip_derived_cl1671,plain,
( ~ ( ssList @ sk__51 )
| ( nil != sk__48 )
| ( nil = sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1591,zip_derived_cl174]) ).
thf(zip_derived_cl198_005,plain,
ssList @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190_006,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1678,plain,
( ( nil != sk__48 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl198,zip_derived_cl190]) ).
thf(zip_derived_cl194,plain,
( ( nil != sk__47 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl1533,plain,
( ( nil != sk__47 )
| ~ ( ssList @ sk__48 )
| ( sk__48 != nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl194,zip_derived_cl80]) ).
thf(zip_derived_cl203,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl202_007,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1590,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl202]) ).
thf(zip_derived_cl83_008,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1596,plain,
( ( nil != sk__47 )
| ( sk__48 != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl1533,zip_derived_cl1590,zip_derived_cl83]) ).
thf(zip_derived_cl1679,plain,
nil != sk__48,
inference(clc,[status(thm)],[zip_derived_cl1678,zip_derived_cl1596]) ).
thf(zip_derived_cl2302,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2301,zip_derived_cl1679]) ).
thf(zip_derived_cl2303,plain,
( ~ ( ssList @ sk__47 )
| ~ ( segmentP @ sk__48 @ sk__47 )
| ( sk__47 = nil )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl2302]) ).
thf(zip_derived_cl190_009,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190_010,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2307,plain,
( ~ ( segmentP @ sk__48 @ sk__47 )
| ( sk__47 = nil ) ),
inference(demod,[status(thm)],[zip_derived_cl2303,zip_derived_cl190,zip_derived_cl190]) ).
thf(zip_derived_cl2313,plain,
( ( sk__48 != sk__48 )
| ~ ( ssList @ sk__48 )
| ( sk__47 = nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1738,zip_derived_cl2307]) ).
thf(zip_derived_cl1590_011,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl202]) ).
thf(zip_derived_cl2314,plain,
( ( sk__48 != sk__48 )
| ( sk__47 = nil ) ),
inference(demod,[status(thm)],[zip_derived_cl2313,zip_derived_cl1590]) ).
thf(zip_derived_cl2315,plain,
sk__47 = nil,
inference(simplify,[status(thm)],[zip_derived_cl2314]) ).
thf(zip_derived_cl2318,plain,
( ( nil = sk__50 )
| ( nil != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl1588,zip_derived_cl2315]) ).
thf(zip_derived_cl2319,plain,
nil = sk__50,
inference(simplify,[status(thm)],[zip_derived_cl2318]) ).
thf(zip_derived_cl2363,plain,
sk__48 = nil,
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl2319]) ).
thf(zip_derived_cl1679_012,plain,
nil != sk__48,
inference(clc,[status(thm)],[zip_derived_cl1678,zip_derived_cl1596]) ).
thf(zip_derived_cl2364,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2363,zip_derived_cl1679]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWC065+1 : TPTP v9.2.0. Released v2.4.0.
% 0.06/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.f4MzoDeSOU true
% 0.13/0.36 % Computer : n003.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 17:18:23 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.37 % Running in FO mode
% 0.56/0.69 % Total configuration time : 435
% 0.56/0.69 % Estimated wc time : 1092
% 0.56/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/1.01 % Solved by fo/fo6_bce.sh.
% 0.56/1.01 % BCE start: 205
% 0.56/1.01 % BCE eliminated: 2
% 0.56/1.01 % PE start: 203
% 0.56/1.01 logic: eq
% 0.56/1.01 % PE eliminated: 4
% 0.56/1.01 % done 212 iterations in 0.268s
% 0.56/1.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/1.01 % SZS output start Refutation
% See solution above
% 0.56/1.01
% 0.56/1.01
% 0.56/1.01 % Terminating...
% 1.70/1.09 % Runner terminated.
% 1.70/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------