%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC009+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.WoPk7K4whS true
% Computer : n001.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 04:58:15 PM UTC 2025
% Result : Theorem 0.59s 0.83s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 95 ( 40 equ; 0 cnn)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 240 ( 44 ~; 35 |; 22 &; 128 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 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 : 38 ( 0 ^; 24 !; 14 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(nil_type,type,
nil: $i ).
thf(lt_type,type,
lt: $i > $i > $o ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(strictorderedP_type,type,
strictorderedP: $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
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] :
( ? [Z: $i] :
( ? [X1: $i] :
( ( ( app @ Y @ X1 )
= U )
& ( ( app @ ( app @ Y @ Z ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssList @ Y ) )
| ! [X2: $i] :
( ( ssList @ X2 )
=> ( ( ( app @ W @ X2 )
!= X )
| ~ ( strictorderedP @ W )
| ? [X3: $i] :
( ? [X4: $i] :
( ? [X5: $i] :
( ? [X6: $i] :
( ( lt @ X5 @ X3 )
& ( ( app @ X6 @ ( cons @ X5 @ nil ) )
= W )
& ( ssList @ X6 ) )
& ( ssItem @ X5 ) )
& ( ( app @ ( cons @ X3 @ nil ) @ X4 )
= X2 )
& ( ssList @ X4 ) )
& ( ssItem @ X3 ) ) ) )
| ( ( nil != X )
& ( nil = W ) ) ) ) ) ) ) ).
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] :
( ? [Z: $i] :
( ? [X1: $i] :
( ( ( app @ Y @ X1 )
= U )
& ( ( app @ ( app @ Y @ Z ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssList @ Y ) )
| ! [X2: $i] :
( ( ssList @ X2 )
=> ( ( ( app @ W @ X2 )
!= X )
| ~ ( strictorderedP @ W )
| ? [X3: $i] :
( ? [X4: $i] :
( ? [X5: $i] :
( ? [X6: $i] :
( ( lt @ X5 @ X3 )
& ( ( app @ X6 @ ( cons @ X5 @ nil ) )
= W )
& ( ssList @ X6 ) )
& ( ssItem @ X5 ) )
& ( ( app @ ( cons @ X3 @ nil ) @ X4 )
= X2 )
& ( ssList @ X4 ) )
& ( ssItem @ X3 ) ) ) )
| ( ( nil != X )
& ( nil = W ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl77,plain,
( ( app @ sk__17 @ sk__19 )
= sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74,plain,
sk__15 = sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
sk__16 = sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl95,plain,
( ( app @ sk__15 @ sk__19 )
= sk__16 ),
inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl74,zip_derived_cl80]) ).
thf(zip_derived_cl63_001,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X1 @ X2 )
!= sk__15 )
| ( ( app @ ( app @ X1 @ X0 ) @ X2 )
!= sk__16 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl124,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__15 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ( ( app @ ( app @ X0 @ X1 ) @ nil )
!= sk__16 )
| ~ ( ssList @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl73]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl20,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl129,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__15 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( ( app @ ( app @ X0 @ X1 ) @ nil )
!= sk__16 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl20]) ).
thf(zip_derived_cl130,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( ( app @ ( app @ X0 @ X1 ) @ nil )
!= sk__16 )
| ~ ( ssList @ X0 )
| ( X0 != sk__15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl262,plain,
! [X0: $i] :
( ~ ( ssList @ sk__15 )
| ( ( app @ ( app @ sk__15 @ X0 ) @ nil )
!= sk__16 )
| ~ ( ssList @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl71,plain,
ssList @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl263,plain,
! [X0: $i] :
( ( ( app @ ( app @ sk__15 @ X0 ) @ nil )
!= sk__16 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl262,zip_derived_cl71]) ).
thf(zip_derived_cl270,plain,
( ( ( app @ sk__16 @ nil )
!= sk__16 )
| ~ ( ssList @ sk__19 ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl263]) ).
thf(zip_derived_cl76,plain,
ssList @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl273,plain,
( ( app @ sk__16 @ nil )
!= sk__16 ),
inference(demod,[status(thm)],[zip_derived_cl270,zip_derived_cl76]) ).
thf(zip_derived_cl278,plain,
( ( sk__16 != sk__16 )
| ~ ( ssList @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl273]) ).
thf(zip_derived_cl81,plain,
ssList @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80_002,plain,
sk__16 = sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94,plain,
ssList @ sk__16,
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl80]) ).
thf(zip_derived_cl281,plain,
sk__16 != sk__16,
inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl94]) ).
thf(zip_derived_cl282,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC009+1 : TPTP v9.2.0. Released v2.4.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WoPk7K4whS true
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 17:11:38 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.58/0.68 % Total configuration time : 435
% 0.58/0.68 % Estimated wc time : 1092
% 0.58/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.83 % Solved by fo/fo7.sh.
% 0.59/0.83 % done 76 iterations in 0.042s
% 0.59/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.83 % SZS output start Refutation
% See solution above
% 0.59/0.83
% 0.59/0.83
% 0.59/0.83 % Terminating...
% 0.63/0.88 % Runner terminated.
% 0.63/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------