%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC101+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.40IOdAXe9i true
% Computer : n027.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 04:58:36 PM UTC 2025
% Result : Theorem 0.43s 0.76s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 102 ( 44 equ; 0 cnn)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 208 ( 40 ~; 37 |; 15 &; 100 @)
% ( 2 <=>; 14 =>; 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 : 28 ( 0 ^; 21 !; 7 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
frontsegP: $i > $i > $o ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(equalelemsP_type,type,
equalelemsP: $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
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 @ U @ nil )
& ( frontsegP @ V @ U ) ) ) ) ) ) ) ).
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 @ U @ nil )
& ( frontsegP @ V @ U ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl51,plain,
( ~ ( neq @ sk__9 @ nil )
| ~ ( frontsegP @ sk__10 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl353,plain,
( ~ ( ssList @ sk__9 )
| ( sk__9 = nil )
| ~ ( ssList @ nil )
| ~ ( frontsegP @ sk__10 @ sk__9 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl51]) ).
thf(zip_derived_cl49,plain,
ssList @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl18,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl409,plain,
( ( sk__9 = nil )
| ~ ( frontsegP @ sk__10 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl54,plain,
( ( nil = sk__12 )
| ( nil != sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53,plain,
sk__9 = sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl363,plain,
( ( nil = sk__12 )
| ( nil != sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl53]) ).
thf(zip_derived_cl59,plain,
sk__10 = sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl366,plain,
( ( sk__10 = nil )
| ( nil != sk__9 ) ),
inference('sup+',[status(thm)],[zip_derived_cl363,zip_derived_cl59]) ).
thf(zip_derived_cl52,plain,
( ( nil != sk__10 )
| ( nil != sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl367,plain,
nil != sk__9,
inference(clc,[status(thm)],[zip_derived_cl366,zip_derived_cl52]) ).
thf(zip_derived_cl410,plain,
~ ( frontsegP @ sk__10 @ sk__9 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl409,zip_derived_cl367]) ).
thf(zip_derived_cl56,plain,
( ( app @ sk__11 @ sk__13 )
= sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53_001,plain,
sk__9 = sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59_002,plain,
sk__10 = sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl368,plain,
( ( app @ sk__9 @ sk__13 )
= sk__10 ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl53,zip_derived_cl59]) ).
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_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ X2 )
| ( frontsegP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl433,plain,
! [X0: $i] :
( ( sk__10 != X0 )
| ~ ( ssList @ X0 )
| ( frontsegP @ X0 @ sk__9 )
| ~ ( ssList @ sk__13 )
| ~ ( ssList @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl368,zip_derived_cl7]) ).
thf(zip_derived_cl55,plain,
ssList @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_003,plain,
ssList @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl441,plain,
! [X0: $i] :
( ( sk__10 != X0 )
| ~ ( ssList @ X0 )
| ( frontsegP @ X0 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl55,zip_derived_cl49]) ).
thf(zip_derived_cl445,plain,
( ~ ( ssList @ sk__10 )
| ( sk__10 != sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl410,zip_derived_cl441]) ).
thf(zip_derived_cl60,plain,
ssList @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59_004,plain,
sk__10 = sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl365,plain,
ssList @ sk__10,
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl59]) ).
thf(zip_derived_cl448,plain,
sk__10 != sk__10,
inference(demod,[status(thm)],[zip_derived_cl445,zip_derived_cl365]) ).
thf(zip_derived_cl449,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC101+1 : TPTP v9.2.0. Released v2.4.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.40IOdAXe9i true
% 0.11/0.31 % Computer : n027.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 17:10:23 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.38/0.55 % Total configuration time : 435
% 0.38/0.55 % Estimated wc time : 1092
% 0.38/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.40/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.40/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.40/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.43/0.76 % Solved by fo/fo3_bce.sh.
% 0.43/0.76 % BCE start: 62
% 0.43/0.76 % BCE eliminated: 2
% 0.43/0.76 % PE start: 60
% 0.43/0.76 logic: eq
% 0.43/0.76 % PE eliminated: 2
% 0.43/0.76 % done 39 iterations in 0.050s
% 0.43/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.43/0.76 % SZS output start Refutation
% See solution above
% 0.43/0.76
% 0.43/0.76
% 0.43/0.76 % Terminating...
% 0.47/0.92 % Runner terminated.
% 1.40/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------