%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC182+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.9BWjScIHMR true
% Computer : n026.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 04:58:52 PM UTC 2025
% Result : Theorem 0.53s 0.78s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 104 ( 38 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 284 ( 50 ~; 41 |; 3 &; 167 @)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 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 : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( nil != W )
| ( V != X )
| ( U != W )
| ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
!= U )
| ( ~ ( memberP @ Z @ Y )
& ~ ( memberP @ X1 @ Y ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( nil != W )
| ( V != X )
| ( U != W )
| ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
!= U )
| ( ~ ( memberP @ Z @ Y )
& ~ ( memberP @ X1 @ Y ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl38,plain,
( ( app @ ( app @ sk__11 @ ( cons @ sk__10 @ nil ) ) @ sk__12 )
= sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
nil = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl256,plain,
sk__6 = nil,
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl42]) ).
thf(zip_derived_cl272,plain,
( ( app @ ( app @ sk__11 @ ( cons @ sk__10 @ nil ) ) @ sk__12 )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl256]) ).
thf(ax83,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil
= ( app @ U @ V ) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ( nil = X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(zip_derived_cl274,plain,
( ( nil != nil )
| ~ ( ssList @ ( app @ sk__11 @ ( cons @ sk__10 @ nil ) ) )
| ( nil
= ( app @ sk__11 @ ( cons @ sk__10 @ nil ) ) )
| ~ ( ssList @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl31]) ).
thf(zip_derived_cl39,plain,
ssList @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl277,plain,
( ( nil != nil )
| ~ ( ssList @ ( app @ sk__11 @ ( cons @ sk__10 @ nil ) ) )
| ( nil
= ( app @ sk__11 @ ( cons @ sk__10 @ nil ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl39]) ).
thf(zip_derived_cl278,plain,
( ( nil
= ( app @ sk__11 @ ( cons @ sk__10 @ nil ) ) )
| ~ ( ssList @ ( app @ sk__11 @ ( cons @ sk__10 @ nil ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl277]) ).
thf(ax26,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl284,plain,
( ( nil
= ( app @ sk__11 @ ( cons @ sk__10 @ nil ) ) )
| ~ ( ssList @ sk__11 )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl278,zip_derived_cl16]) ).
thf(zip_derived_cl36,plain,
ssList @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl290,plain,
( ( nil
= ( app @ sk__11 @ ( cons @ sk__10 @ nil ) ) )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl284,zip_derived_cl36]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(zip_derived_cl317,plain,
( ( nil != nil )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ sk__11 )
| ( nil
= ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl30]) ).
thf(zip_derived_cl36_001,plain,
ssList @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl323,plain,
( ( nil != nil )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) )
| ( nil
= ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl36]) ).
thf(zip_derived_cl324,plain,
( ( nil
= ( cons @ sk__10 @ nil ) )
| ~ ( ssList @ ( cons @ sk__10 @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl323]) ).
thf(zip_derived_cl337,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 )
| ( nil
= ( cons @ sk__10 @ nil ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl324]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl8,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl40,plain,
ssItem @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl338,plain,
( nil
= ( cons @ sk__10 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl337,zip_derived_cl8,zip_derived_cl40]) ).
thf(ax18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl341,plain,
( ( nil != nil )
| ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl9]) ).
thf(zip_derived_cl8_002,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl40_003,plain,
ssItem @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl344,plain,
nil != nil,
inference(demod,[status(thm)],[zip_derived_cl341,zip_derived_cl8,zip_derived_cl40]) ).
thf(zip_derived_cl345,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC182+1 : TPTP v9.2.0. Released v2.4.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9BWjScIHMR true
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 17:09:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.52/0.63 % Total configuration time : 435
% 0.52/0.63 % Estimated wc time : 1092
% 0.52/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.78 % Solved by fo/fo3_bce.sh.
% 0.53/0.78 % BCE start: 46
% 0.53/0.78 % BCE eliminated: 0
% 0.53/0.78 % PE start: 46
% 0.53/0.78 logic: eq
% 0.53/0.78 % PE eliminated: 0
% 0.53/0.78 % done 44 iterations in 0.044s
% 0.53/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.78 % SZS output start Refutation
% See solution above
% 0.53/0.78
% 0.53/0.78
% 0.53/0.78 % Terminating...
% 1.43/0.86 % Runner terminated.
% 1.43/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------