%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC330+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.R7F0mJRk9t true
% Computer : n002.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 04:59:24 PM UTC 2025
% Result : Theorem 2.56s 1.23s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of formulae : 75 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 197 ( 79 equ; 0 cnn)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 415 ( 97 ~; 91 |; 14 &; 196 @)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 34 !; 6 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__24_type,type,
sk__24: $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__29_type,type,
sk__29: $i ).
thf(sk__23_type,type,
sk__23: $i ).
thf(nil_type,type,
nil: $i ).
thf(lt_type,type,
lt: $i > $i > $o ).
thf(app_type,type,
app: $i > $i > $i ).
thf(equalelemsP_type,type,
equalelemsP: $i > $o ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__28_type,type,
sk__28: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__26_type,type,
sk__26: $i ).
thf(sk__27_type,type,
sk__27: $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__25_type,type,
sk__25: $i ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ( equalelemsP @ U )
& ( segmentP @ V @ U ) )
| ( ( ( nil != W )
| ( nil != X ) )
& ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ? [X3: $i] :
( ( lt @ X3 @ Y )
& ( memberP @ X1 @ X3 )
& ( ssItem @ X3 ) )
| ? [X2: $i] :
( ( lt @ Y @ X2 )
& ( memberP @ Z @ X2 )
& ( ssItem @ X2 ) )
| ( ( app @ ( app @ Z @ W ) @ X1 )
!= X )
| ( ( cons @ Y @ nil )
!= W )
| ~ ( ssList @ X1 ) ) ) ) )
| ( 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] :
( ( ( equalelemsP @ U )
& ( segmentP @ V @ U ) )
| ( ( ( nil != W )
| ( nil != X ) )
& ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ? [X3: $i] :
( ( lt @ X3 @ Y )
& ( memberP @ X1 @ X3 )
& ( ssItem @ X3 ) )
| ? [X2: $i] :
( ( lt @ Y @ X2 )
& ( memberP @ Z @ X2 )
& ( ssItem @ X2 ) )
| ( ( app @ ( app @ Z @ W ) @ X1 )
!= X )
| ( ( cons @ Y @ nil )
!= W )
| ~ ( ssList @ X1 ) ) ) ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl106,plain,
( ( nil = sk__25 )
| ( ssList @ sk__28 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105,plain,
sk__23 = sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl873,plain,
( ( nil = sk__23 )
| ( ssList @ sk__28 ) ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl105]) ).
thf(zip_derived_cl111,plain,
( ( nil = sk__25 )
| ( ssList @ sk__29 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105_001,plain,
sk__23 = sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl874,plain,
( ( nil = sk__23 )
| ( ssList @ sk__29 ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl105]) ).
thf(zip_derived_cl108,plain,
( ( nil = sk__25 )
| ( ( cons @ sk__27 @ nil )
= sk__25 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105_002,plain,
sk__23 = sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105_003,plain,
sk__23 = sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl879,plain,
( ( nil = sk__23 )
| ( ( cons @ sk__27 @ nil )
= sk__23 ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl105,zip_derived_cl105]) ).
thf(zip_derived_cl110,plain,
( ( nil = sk__25 )
| ( ( app @ ( app @ sk__28 @ sk__25 ) @ sk__29 )
= sk__26 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105_004,plain,
sk__23 = sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105_005,plain,
sk__23 = sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120,plain,
sk__24 = sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl958,plain,
( ( nil = sk__23 )
| ( ( app @ ( app @ sk__28 @ sk__23 ) @ sk__29 )
= sk__24 ) ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl105,zip_derived_cl105,zip_derived_cl120]) ).
thf(zip_derived_cl115,plain,
( ( nil = sk__26 )
| ( ( cons @ sk__27 @ nil )
= sk__25 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_006,plain,
sk__24 = sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105_007,plain,
sk__23 = sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl886,plain,
( ( nil = sk__24 )
| ( ( cons @ sk__27 @ nil )
= sk__23 ) ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl120,zip_derived_cl105]) ).
thf(ax18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl887,plain,
( ( sk__23 != nil )
| ( nil = sk__24 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ sk__27 ) ),
inference('sup-',[status(thm)],[zip_derived_cl886,zip_derived_cl36]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl35,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl889,plain,
( ( sk__23 != nil )
| ( nil = sk__24 )
| ~ ( ssItem @ sk__27 ) ),
inference(demod,[status(thm)],[zip_derived_cl887,zip_derived_cl35]) ).
thf(zip_derived_cl119,plain,
( ( nil = sk__26 )
| ( ssItem @ sk__27 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_008,plain,
sk__24 = sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl878,plain,
( ( nil = sk__24 )
| ( ssItem @ sk__27 ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl120]) ).
thf(zip_derived_cl891,plain,
( ( nil = sk__24 )
| ( sk__23 != nil ) ),
inference(clc,[status(thm)],[zip_derived_cl889,zip_derived_cl878]) ).
thf(ax74,axiom,
equalelemsP @ nil ).
thf(zip_derived_cl82,plain,
equalelemsP @ nil,
inference(cnf,[status(esa)],[ax74]) ).
thf(zip_derived_cl104,plain,
( ~ ( equalelemsP @ sk__23 )
| ~ ( segmentP @ sk__24 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl869,plain,
( ( nil != sk__23 )
| ~ ( segmentP @ sk__24 @ sk__23 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl82,zip_derived_cl104]) ).
thf(zip_derived_cl872,plain,
( ( nil != sk__23 )
| ~ ( segmentP @ sk__24 @ nil ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl869]) ).
thf(zip_derived_cl893,plain,
( ~ ( segmentP @ nil @ nil )
| ( sk__23 != nil )
| ( nil != sk__23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl891,zip_derived_cl872]) ).
thf(zip_derived_cl894,plain,
( ( sk__23 != nil )
| ~ ( segmentP @ nil @ nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl893]) ).
thf(ax57,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ nil ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ( segmentP @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax57]) ).
thf(zip_derived_cl901,plain,
( ( sk__23 != nil )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl894,zip_derived_cl66]) ).
thf(zip_derived_cl35_009,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl904,plain,
sk__23 != nil,
inference(demod,[status(thm)],[zip_derived_cl901,zip_derived_cl35]) ).
thf(zip_derived_cl959,plain,
( ( app @ ( app @ sk__28 @ sk__23 ) @ sk__29 )
= sk__24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl958,zip_derived_cl904]) ).
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_cl10,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_cl1070,plain,
! [X0: $i] :
( ( sk__24 != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__23 )
| ~ ( ssList @ sk__28 )
| ~ ( ssList @ sk__29 )
| ~ ( ssList @ sk__23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl959,zip_derived_cl10]) ).
thf(zip_derived_cl102,plain,
ssList @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1082,plain,
! [X0: $i] :
( ( sk__24 != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__23 )
| ~ ( ssList @ sk__28 )
| ~ ( ssList @ sk__29 ) ),
inference(demod,[status(thm)],[zip_derived_cl1070,zip_derived_cl102]) ).
thf(ax73,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( equalelemsP @ ( cons @ U @ nil ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i] :
( ( equalelemsP @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax73]) ).
thf(zip_derived_cl104_010,plain,
( ~ ( equalelemsP @ sk__23 )
| ~ ( segmentP @ sk__24 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl865,plain,
! [X0: $i] :
( ( ( cons @ X0 @ nil )
!= sk__23 )
| ~ ( ssItem @ X0 )
| ~ ( segmentP @ sk__24 @ sk__23 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl104]) ).
thf(zip_derived_cl2105,plain,
! [X0: $i] :
( ~ ( ssList @ sk__29 )
| ~ ( ssList @ sk__28 )
| ~ ( ssList @ sk__24 )
| ( sk__24 != sk__24 )
| ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ nil )
!= sk__23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1082,zip_derived_cl865]) ).
thf(zip_derived_cl121,plain,
ssList @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_011,plain,
sk__24 = sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl871,plain,
ssList @ sk__24,
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl120]) ).
thf(zip_derived_cl2136,plain,
! [X0: $i] :
( ~ ( ssList @ sk__29 )
| ~ ( ssList @ sk__28 )
| ( sk__24 != sk__24 )
| ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ nil )
!= sk__23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2105,zip_derived_cl871]) ).
thf(zip_derived_cl2137,plain,
! [X0: $i] :
( ( ( cons @ X0 @ nil )
!= sk__23 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__28 )
| ~ ( ssList @ sk__29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2136]) ).
thf(zip_derived_cl2182,plain,
( ( sk__23 != sk__23 )
| ( nil = sk__23 )
| ~ ( ssList @ sk__29 )
| ~ ( ssList @ sk__28 )
| ~ ( ssItem @ sk__27 ) ),
inference('sup-',[status(thm)],[zip_derived_cl879,zip_derived_cl2137]) ).
thf(zip_derived_cl2186,plain,
( ~ ( ssItem @ sk__27 )
| ~ ( ssList @ sk__28 )
| ~ ( ssList @ sk__29 )
| ( nil = sk__23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2182]) ).
thf(zip_derived_cl904_012,plain,
sk__23 != nil,
inference(demod,[status(thm)],[zip_derived_cl901,zip_derived_cl35]) ).
thf(zip_derived_cl2187,plain,
( ~ ( ssItem @ sk__27 )
| ~ ( ssList @ sk__28 )
| ~ ( ssList @ sk__29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2186,zip_derived_cl904]) ).
thf(zip_derived_cl2192,plain,
( ( nil = sk__23 )
| ~ ( ssList @ sk__28 )
| ~ ( ssItem @ sk__27 ) ),
inference('sup-',[status(thm)],[zip_derived_cl874,zip_derived_cl2187]) ).
thf(zip_derived_cl904_013,plain,
sk__23 != nil,
inference(demod,[status(thm)],[zip_derived_cl901,zip_derived_cl35]) ).
thf(zip_derived_cl2194,plain,
( ~ ( ssList @ sk__28 )
| ~ ( ssItem @ sk__27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2192,zip_derived_cl904]) ).
thf(zip_derived_cl2200,plain,
( ( nil = sk__23 )
| ~ ( ssItem @ sk__27 ) ),
inference('sup-',[status(thm)],[zip_derived_cl873,zip_derived_cl2194]) ).
thf(zip_derived_cl904_014,plain,
sk__23 != nil,
inference(demod,[status(thm)],[zip_derived_cl901,zip_derived_cl35]) ).
thf(zip_derived_cl2202,plain,
~ ( ssItem @ sk__27 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2200,zip_derived_cl904]) ).
thf(zip_derived_cl112,plain,
( ( nil = sk__25 )
| ( ssItem @ sk__27 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105_015,plain,
sk__23 = sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl875,plain,
( ( nil = sk__23 )
| ( ssItem @ sk__27 ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl105]) ).
thf(zip_derived_cl904_016,plain,
sk__23 != nil,
inference(demod,[status(thm)],[zip_derived_cl901,zip_derived_cl35]) ).
thf(zip_derived_cl2206,plain,
ssItem @ sk__27,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl875,zip_derived_cl904]) ).
thf(zip_derived_cl2224,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2202,zip_derived_cl2206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC330+1 : TPTP v9.2.0. Released v2.4.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.R7F0mJRk9t true
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 17:09:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.53/0.67 % Total configuration time : 435
% 0.53/0.67 % Estimated wc time : 1092
% 0.53/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.88 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.91 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.92 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.96 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.98 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.56/1.23 % Solved by fo/fo3_bce.sh.
% 2.56/1.23 % BCE start: 123
% 2.56/1.23 % BCE eliminated: 2
% 2.56/1.23 % PE start: 121
% 2.56/1.23 logic: eq
% 2.56/1.23 % PE eliminated: -4
% 2.56/1.23 % done 281 iterations in 0.352s
% 2.56/1.23 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.56/1.23 % SZS output start Refutation
% See solution above
% 2.56/1.23
% 2.56/1.23
% 2.56/1.23 % Terminating...
% 2.77/1.41 % Runner terminated.
% 2.77/1.43 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------