%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU729^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yOCOa0h7Ll true
% Computer : n011.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 04:56:00 PM UTC 2025
% Result : Theorem 0.63s 0.82s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 154 ( 6 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 724 ( 46 ~; 48 |; 0 &; 582 @)
% ( 0 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 84 ( 0 ^; 84 !; 0 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(complementT_lem_type,type,
complementT_lem: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subsetTI_type,type,
subsetTI: $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__9_type,type,
sk__9: $i > $i > $i > $i ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(doubleComplementI1_type,type,
doubleComplementI1: $o ).
thf(doubleComplementI1,axiom,
( doubleComplementI1
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ X )
=> ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ).
thf('0',plain,
( doubleComplementI1
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(subsetTI,axiom,
( subsetTI
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ X )
=> ( in @ Xx @ Y ) ) )
=> ( subset @ X @ Y ) ) ) ) ) ) ).
thf('1',plain,
( subsetTI
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( in @ X10 @ X6 )
=> ( in @ X10 @ X8 ) ) )
=> ( subset @ X6 @ X8 ) ) ) ) ) ),
define([status(thm)]) ).
thf(complementT_lem,axiom,
( complementT_lem
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ) ) ) ).
thf('2',plain,
( complementT_lem
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(doubleComplementSub1,conjecture,
( complementT_lem
=> ( subsetTI
=> ( doubleComplementI1
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ( subset @ X @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) )
=> ( ! [X8: $i,X10: $i] :
( ( in @ X10 @ ( powerset @ X8 ) )
=> ! [X12: $i] :
( ( in @ X12 @ ( powerset @ X8 ) )
=> ( ! [X14: $i] :
( ( in @ X14 @ X8 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ( subset @ X10 @ X12 ) ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ( ( in @ X20 @ X18 )
=> ( in @ X20 @ ( setminus @ X16 @ ( setminus @ X16 @ X18 ) ) ) ) ) )
=> ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ( subset @ X24 @ ( setminus @ X22 @ ( setminus @ X22 @ X24 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) )
=> ( ! [X8: $i,X10: $i] :
( ( in @ X10 @ ( powerset @ X8 ) )
=> ! [X12: $i] :
( ( in @ X12 @ ( powerset @ X8 ) )
=> ( ! [X14: $i] :
( ( in @ X14 @ X8 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ( subset @ X10 @ X12 ) ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ( ( in @ X20 @ X18 )
=> ( in @ X20 @ ( setminus @ X16 @ ( setminus @ X16 @ X18 ) ) ) ) ) )
=> ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ( subset @ X24 @ ( setminus @ X22 @ ( setminus @ X22 @ X24 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) )
| ~ ( in @ X1 @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i] :
( ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) )
| ~ ( in @ X1 @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
in @ sk__11 @ ( powerset @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3_002,plain,
in @ sk__11 @ ( powerset @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i] :
( ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) )
| ~ ( in @ X1 @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i] :
( ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) )
| ~ ( in @ X1 @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X5: $i,X6: $i,X7: $i] :
( ~ ( in @ X5 @ ( powerset @ X6 ) )
| ( subset @ X7 @ X5 )
| ( in @ ( sk__9 @ X5 @ X7 @ X6 ) @ X7 )
| ~ ( in @ X7 @ ( powerset @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ ( powerset @ X0 ) )
| ~ ( in @ X2 @ ( powerset @ X0 ) )
| ( in @ ( sk__9 @ ( setminus @ X0 @ X1 ) @ X2 @ X0 ) @ X2 )
| ( subset @ X2 @ ( setminus @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ ( powerset @ X0 ) )
| ( subset @ X2 @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) )
| ( in @ ( sk__9 @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) @ X2 @ X0 ) @ X2 )
| ~ ( in @ X2 @ ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl8]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( powerset @ sk__10 ) )
| ( in @ ( sk__9 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) @ X0 @ sk__10 ) @ X0 )
| ( subset @ X0 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl34]) ).
thf(zip_derived_cl73,plain,
( ( subset @ sk__11 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) )
| ( in @ ( sk__9 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) @ sk__11 @ sk__10 ) @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl57]) ).
thf(zip_derived_cl2,plain,
~ ( subset @ sk__11 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl77,plain,
in @ ( sk__9 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) @ sk__11 @ sk__10 ) @ sk__11,
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl2]) ).
thf(zip_derived_cl1,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X2 @ X3 )
| ( in @ X2 @ ( setminus @ X3 @ ( setminus @ X3 @ X4 ) ) )
| ~ ( in @ X2 @ X4 )
| ~ ( in @ X4 @ ( powerset @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X5: $i,X6: $i,X7: $i] :
( ~ ( in @ X5 @ ( powerset @ X6 ) )
| ( subset @ X7 @ X5 )
| ~ ( in @ ( sk__9 @ X5 @ X7 @ X6 ) @ X5 )
| ~ ( in @ X7 @ ( powerset @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ ( powerset @ X1 ) )
| ~ ( in @ ( sk__9 @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) @ X3 @ X2 ) @ X0 )
| ~ ( in @ ( sk__9 @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) @ X3 @ X2 ) @ X1 )
| ~ ( in @ X3 @ ( powerset @ X2 ) )
| ( subset @ X3 @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) )
| ~ ( in @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) @ ( powerset @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).
thf(zip_derived_cl79,plain,
( ~ ( in @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) @ ( powerset @ sk__10 ) )
| ( subset @ sk__11 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) )
| ~ ( in @ sk__11 @ ( powerset @ sk__10 ) )
| ~ ( in @ ( sk__9 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) @ sk__11 @ sk__10 ) @ sk__10 )
| ~ ( in @ sk__11 @ ( powerset @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl25]) ).
thf(zip_derived_cl2_005,plain,
~ ( subset @ sk__11 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3_006,plain,
in @ sk__11 @ ( powerset @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3_007,plain,
in @ sk__11 @ ( powerset @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl85,plain,
( ~ ( in @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) @ ( powerset @ sk__10 ) )
| ~ ( in @ ( sk__9 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) @ sk__11 @ sk__10 ) @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl2,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl93,plain,
( ~ ( in @ ( setminus @ sk__10 @ sk__11 ) @ ( powerset @ sk__10 ) )
| ~ ( in @ ( sk__9 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) @ sk__11 @ sk__10 ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl85]) ).
thf(zip_derived_cl95,plain,
( ~ ( in @ sk__11 @ ( powerset @ sk__10 ) )
| ~ ( in @ ( sk__9 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) @ sk__11 @ sk__10 ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl93]) ).
thf(zip_derived_cl3_008,plain,
in @ sk__11 @ ( powerset @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl97,plain,
~ ( in @ ( sk__9 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) @ sk__11 @ sk__10 ) @ sk__10 ),
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl3]) ).
thf(zip_derived_cl3_009,plain,
in @ sk__11 @ ( powerset @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3_010,plain,
in @ sk__11 @ ( powerset @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_011,plain,
! [X0: $i,X1: $i] :
( ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) )
| ~ ( in @ X1 @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_012,plain,
! [X0: $i,X1: $i] :
( ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) )
| ~ ( in @ X1 @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X5: $i,X6: $i,X7: $i] :
( ~ ( in @ X5 @ ( powerset @ X6 ) )
| ( subset @ X7 @ X5 )
| ( in @ ( sk__9 @ X5 @ X7 @ X6 ) @ X6 )
| ~ ( in @ X7 @ ( powerset @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ ( powerset @ X0 ) )
| ~ ( in @ X2 @ ( powerset @ X0 ) )
| ( in @ ( sk__9 @ ( setminus @ X0 @ X1 ) @ X2 @ X0 ) @ X0 )
| ( subset @ X2 @ ( setminus @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ ( powerset @ X0 ) )
| ( subset @ X2 @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) )
| ( in @ ( sk__9 @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) @ X2 @ X0 ) @ X0 )
| ~ ( in @ X2 @ ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl22]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( powerset @ sk__10 ) )
| ( in @ ( sk__9 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) @ X0 @ sk__10 ) @ sk__10 )
| ( subset @ X0 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl38]) ).
thf(zip_derived_cl87,plain,
( ( subset @ sk__11 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) )
| ( in @ ( sk__9 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) @ sk__11 @ sk__10 ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl61]) ).
thf(zip_derived_cl2_013,plain,
~ ( subset @ sk__11 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl91,plain,
in @ ( sk__9 @ ( setminus @ sk__10 @ ( setminus @ sk__10 @ sk__11 ) ) @ sk__11 @ sk__10 ) @ sk__10,
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl2]) ).
thf(zip_derived_cl99,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SEU729^2 : TPTP v9.2.0. Released v3.7.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yOCOa0h7Ll true
% 0.11/0.31 % Computer : n011.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 16:10:23 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
% 0.17/0.32 % Python version: Python 3.6.8
% 0.17/0.32 % Running in HO mode
% 0.52/0.62 % Total configuration time : 828
% 0.52/0.62 % Estimated wc time : 1656
% 0.52/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.63/0.82 % Solved by lams/40_c.s.sh.
% 0.63/0.82 % done 54 iterations in 0.080s
% 0.63/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.82 % SZS output start Refutation
% See solution above
% 0.63/0.82
% 0.63/0.82
% 0.63/0.82 % Terminating...
% 2.59/0.92 % Runner terminated.
% 2.63/0.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------