%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC416+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vYRFfE1NUT true
% Computer : n024.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 04:59:43 PM UTC 2025
% Result : Theorem 7.36s 1.67s
% Output : Refutation 7.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 68 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 205 ( 78 equ; 0 cnn)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 535 ( 111 ~; 98 |; 16 &; 287 @)
% ( 1 <=>; 22 =>; 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 : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 67 ( 0 ^; 61 !; 6 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(sk__47_type,type,
sk__47: $i ).
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__50_type,type,
sk__50: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__48_type,type,
sk__48: $i ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl82,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 )
=> ( ( V != X )
| ( U != W )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ( neq @ nil @ V )
& ( ( hd @ V )
= X1 )
& ( ( cons @ X1 @ nil )
= Z )
& ( ssItem @ X1 ) )
& ( ( app @ Z @ U )
= Y )
& ( ssList @ Z ) )
& ( V = Y )
& ( ssList @ Y ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ( app @ ( cons @ X2 @ nil ) @ W )
!= X ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ) ).
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 )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ( neq @ nil @ V )
& ( ( hd @ V )
= X1 )
& ( ( cons @ X1 @ nil )
= Z )
& ( ssItem @ X1 ) )
& ( ( app @ Z @ U )
= Y )
& ( ssList @ Z ) )
& ( V = Y )
& ( ssList @ Y ) )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ( app @ ( cons @ X2 @ nil ) @ W )
!= X ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl200,plain,
( ( ( app @ ( cons @ sk__51 @ nil ) @ sk__49 )
= sk__50 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201_001,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1581,plain,
( ( ( app @ ( cons @ sk__51 @ nil ) @ sk__47 )
= sk__48 )
| ~ ( neq @ sk__48 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl192,zip_derived_cl201,zip_derived_cl201]) ).
thf(zip_derived_cl193,plain,
( ( neq @ sk__48 @ nil )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1628,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl1629,plain,
( ( app @ ( cons @ sk__51 @ nil ) @ sk__47 )
= sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl1581,zip_derived_cl1628]) ).
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_cl196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 != X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ( ( hd @ sk__48 )
!= X1 )
| ~ ( neq @ nil @ sk__48 )
| ( ( app @ X2 @ sk__47 )
!= X0 )
| ~ ( ssList @ X2 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(ax27,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ( ( cons @ W @ ( app @ V @ U ) )
= ( app @ ( cons @ W @ V ) @ U ) ) ) ) ) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ X1 @ ( app @ X0 @ X2 ) )
= ( app @ ( cons @ X1 @ X0 ) @ X2 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax27]) ).
thf(zip_derived_cl2022,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl96]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2030,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2022,zip_derived_cl83]) ).
thf(zip_derived_cl2031,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2030]) ).
thf(zip_derived_cl1629_002,plain,
( ( app @ ( cons @ sk__51 @ nil ) @ sk__47 )
= sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl1581,zip_derived_cl1628]) ).
thf(zip_derived_cl2111,plain,
( ~ ( ssList @ sk__47 )
| ~ ( ssItem @ sk__51 )
| ( ( cons @ sk__51 @ sk__47 )
= sk__48 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2031,zip_derived_cl1629]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198,plain,
( ( ssItem @ sk__51 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201_003,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1571,plain,
( ( ssItem @ sk__51 )
| ~ ( neq @ sk__48 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl201]) ).
thf(zip_derived_cl197,plain,
( ( ssItem @ sk__51 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1572,plain,
ssItem @ sk__51,
inference(clc,[status(thm)],[zip_derived_cl1571,zip_derived_cl197]) ).
thf(zip_derived_cl2128,plain,
( ( cons @ sk__51 @ sk__47 )
= sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl2111,zip_derived_cl190,zip_derived_cl1572]) ).
thf(ax23,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( hd @ ( cons @ V @ U ) )
= V ) ) ) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ ( cons @ X0 @ X1 ) )
= X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl2147,plain,
( ~ ( ssItem @ sk__51 )
| ( ( hd @ sk__48 )
= sk__51 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2128,zip_derived_cl92]) ).
thf(zip_derived_cl1572_004,plain,
ssItem @ sk__51,
inference(clc,[status(thm)],[zip_derived_cl1571,zip_derived_cl197]) ).
thf(zip_derived_cl190_005,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2164,plain,
( ( hd @ sk__48 )
= sk__51 ),
inference(demod,[status(thm)],[zip_derived_cl2147,zip_derived_cl1572,zip_derived_cl190]) ).
thf(zip_derived_cl201_006,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1628_007,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl3389,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 != X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ( sk__51 != X1 )
| ~ ( neq @ nil @ sk__48 )
| ( ( app @ X2 @ sk__47 )
!= X0 )
| ~ ( ssList @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl2164,zip_derived_cl201,zip_derived_cl1628]) ).
thf(zip_derived_cl3391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__48 )
| ~ ( ssList @ sk__48 )
| ~ ( ssList @ X0 )
| ( sk__48 != X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ( sk__51 != X1 )
| ( ( app @ X2 @ sk__47 )
!= X0 )
| ~ ( ssList @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl3389]) ).
thf(zip_derived_cl83_008,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl202,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201_009,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1569,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl201]) ).
thf(zip_derived_cl3393,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( sk__48 != X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ( sk__51 != X1 )
| ( ( app @ X2 @ sk__47 )
!= X0 )
| ~ ( ssList @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl3391,zip_derived_cl83,zip_derived_cl1569]) ).
thf(zip_derived_cl2128_010,plain,
( ( cons @ sk__51 @ sk__47 )
= sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl2111,zip_derived_cl190,zip_derived_cl1572]) ).
thf(ax21,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( nil
!= ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( nil
!= ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax21]) ).
thf(zip_derived_cl2146,plain,
( ~ ( ssItem @ sk__51 )
| ( nil != sk__48 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2128,zip_derived_cl90]) ).
thf(zip_derived_cl1572_011,plain,
ssItem @ sk__51,
inference(clc,[status(thm)],[zip_derived_cl1571,zip_derived_cl197]) ).
thf(zip_derived_cl190_012,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2163,plain,
nil != sk__48,
inference(demod,[status(thm)],[zip_derived_cl2146,zip_derived_cl1572,zip_derived_cl190]) ).
thf(zip_derived_cl3394,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 != X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ( sk__51 != X1 )
| ( ( app @ X2 @ sk__47 )
!= X0 )
| ~ ( ssList @ X2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3393,zip_derived_cl2163]) ).
thf(zip_derived_cl3395,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X0 @ sk__47 )
!= sk__48 )
| ( sk__51 != X1 )
| ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ sk__48 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3394]) ).
thf(zip_derived_cl1569_013,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl201]) ).
thf(zip_derived_cl3396,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X0 @ sk__47 )
!= sk__48 )
| ( sk__51 != X1 )
| ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3395,zip_derived_cl1569]) ).
thf(zip_derived_cl3473,plain,
! [X0: $i] :
( ~ ( ssItem @ sk__51 )
| ( ( cons @ sk__51 @ nil )
!= X0 )
| ( ( app @ X0 @ sk__47 )
!= sk__48 )
| ~ ( ssList @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3396]) ).
thf(zip_derived_cl1572_014,plain,
ssItem @ sk__51,
inference(clc,[status(thm)],[zip_derived_cl1571,zip_derived_cl197]) ).
thf(zip_derived_cl3474,plain,
! [X0: $i] :
( ( ( cons @ sk__51 @ nil )
!= X0 )
| ( ( app @ X0 @ sk__47 )
!= sk__48 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3473,zip_derived_cl1572]) ).
thf(zip_derived_cl3628,plain,
( ( ( cons @ sk__51 @ nil )
!= ( cons @ sk__51 @ nil ) )
| ( sk__48 != sk__48 )
| ~ ( ssList @ ( cons @ sk__51 @ nil ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1629,zip_derived_cl3474]) ).
thf(zip_derived_cl3638,plain,
~ ( ssList @ ( cons @ sk__51 @ nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl3628]) ).
thf(zip_derived_cl3651,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl3638]) ).
thf(zip_derived_cl83_015,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1572_016,plain,
ssItem @ sk__51,
inference(clc,[status(thm)],[zip_derived_cl1571,zip_derived_cl197]) ).
thf(zip_derived_cl3653,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3651,zip_derived_cl83,zip_derived_cl1572]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC416+1 : TPTP v9.2.0. Released v2.4.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vYRFfE1NUT true
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 17:18:38 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.36/1.67 % Solved by fo/fo6_bce.sh.
% 7.36/1.67 % BCE start: 204
% 7.36/1.67 % BCE eliminated: 2
% 7.36/1.67 % PE start: 202
% 7.36/1.67 logic: eq
% 7.36/1.67 % PE eliminated: 6
% 7.36/1.67 % done 355 iterations in 0.923s
% 7.36/1.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.36/1.67 % SZS output start Refutation
% See solution above
% 7.36/1.67
% 7.36/1.67
% 7.36/1.67 % Terminating...
% 7.73/1.78 % Runner terminated.
% 7.73/1.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------