%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU737^2 : 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.Yyy17iEQER true
% Computer : n016.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 04:56:03 PM UTC 2025
% Result : Theorem 0.61s 0.86s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 159 ( 6 equ; 0 cnn)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 640 ( 40 ~; 42 |; 0 &; 496 @)
% ( 0 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 80 ( 0 ^; 80 !; 0 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(complementT_lem_type,type,
complementT_lem: $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i > $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(subsetTI_type,type,
subsetTI: $o ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(contraSubsetComplement_type,type,
contraSubsetComplement: $o ).
thf(contraSubsetComplement,axiom,
( contraSubsetComplement
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( ( subset @ X @ ( setminus @ A @ Y ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ Y )
=> ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ) ).
thf('0',plain,
( contraSubsetComplement
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( in @ X10 @ X8 )
=> ( in @ X10 @ ( 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(complementTcontraSubset,conjecture,
( complementT_lem
=> ( subsetTI
=> ( contraSubsetComplement
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( ( subset @ X @ ( setminus @ A @ Y ) )
=> ( subset @ Y @ ( 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 @ ( powerset @ X16 ) )
=> ( ( subset @ X18 @ ( setminus @ X16 @ X20 ) )
=> ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( ( in @ X22 @ X20 )
=> ( in @ X22 @ ( setminus @ X16 @ X18 ) ) ) ) ) ) )
=> ! [X24: $i,X26: $i] :
( ( in @ X26 @ ( powerset @ X24 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X24 ) )
=> ( ( subset @ X26 @ ( setminus @ X24 @ X28 ) )
=> ( subset @ X28 @ ( setminus @ X24 @ X26 ) ) ) ) ) ) ) ) ).
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 @ ( powerset @ X16 ) )
=> ( ( subset @ X18 @ ( setminus @ X16 @ X20 ) )
=> ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( ( in @ X22 @ X20 )
=> ( in @ X22 @ ( setminus @ X16 @ X18 ) ) ) ) ) ) )
=> ! [X24: $i,X26: $i] :
( ( in @ X26 @ ( powerset @ X24 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X24 ) )
=> ( ( subset @ X26 @ ( setminus @ X24 @ X28 ) )
=> ( subset @ X28 @ ( setminus @ X24 @ X26 ) ) ) ) ) ) ) ),
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_cl2,plain,
in @ sk__13 @ ( powerset @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
in @ sk__12 @ ( powerset @ sk__11 ),
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_cl6,plain,
! [X6: $i,X7: $i,X8: $i] :
( ~ ( in @ X6 @ ( powerset @ X7 ) )
| ( subset @ X8 @ X6 )
| ( in @ ( sk__10 @ X6 @ X8 @ X7 ) @ X8 )
| ~ ( in @ X8 @ ( powerset @ X7 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ ( powerset @ X0 ) )
| ~ ( in @ X2 @ ( powerset @ X0 ) )
| ( in @ ( sk__10 @ ( setminus @ X0 @ X1 ) @ X2 @ X0 ) @ X2 )
| ( subset @ X2 @ ( setminus @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ( subset @ X0 @ ( setminus @ sk__11 @ sk__12 ) )
| ( in @ ( sk__10 @ ( setminus @ sk__11 @ sk__12 ) @ X0 @ sk__11 ) @ X0 )
| ~ ( in @ X0 @ ( powerset @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl11]) ).
thf(zip_derived_cl88,plain,
( ( in @ ( sk__10 @ ( setminus @ sk__11 @ sk__12 ) @ sk__13 @ sk__11 ) @ sk__13 )
| ( subset @ sk__13 @ ( setminus @ sk__11 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl61]) ).
thf(zip_derived_cl3,plain,
~ ( subset @ sk__13 @ ( setminus @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl94,plain,
in @ ( sk__10 @ ( setminus @ sk__11 @ sk__12 ) @ sk__13 @ sk__11 ) @ sk__13,
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl3]) ).
thf(zip_derived_cl4,plain,
subset @ sk__12 @ ( setminus @ sk__11 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( in @ X2 @ ( powerset @ X3 ) )
| ~ ( in @ X4 @ X2 )
| ( in @ X4 @ ( setminus @ X3 @ X5 ) )
| ~ ( in @ X4 @ X3 )
| ~ ( subset @ X5 @ ( setminus @ X3 @ X2 ) )
| ~ ( in @ X5 @ ( powerset @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl27,plain,
! [X0: $i] :
( ~ ( in @ sk__12 @ ( powerset @ sk__11 ) )
| ~ ( in @ X0 @ sk__11 )
| ( in @ X0 @ ( setminus @ sk__11 @ sk__12 ) )
| ~ ( in @ X0 @ sk__13 )
| ~ ( in @ sk__13 @ ( powerset @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl5_002,plain,
in @ sk__12 @ ( powerset @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_003,plain,
in @ sk__13 @ ( powerset @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__11 )
| ( in @ X0 @ ( setminus @ sk__11 @ sk__12 ) )
| ~ ( in @ X0 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X6: $i,X7: $i,X8: $i] :
( ~ ( in @ X6 @ ( powerset @ X7 ) )
| ( subset @ X8 @ X6 )
| ~ ( in @ ( sk__10 @ X6 @ X8 @ X7 ) @ X6 )
| ~ ( in @ X8 @ ( powerset @ X7 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__10 @ ( setminus @ sk__11 @ sk__12 ) @ X1 @ X0 ) @ sk__13 )
| ~ ( in @ ( sk__10 @ ( setminus @ sk__11 @ sk__12 ) @ X1 @ X0 ) @ sk__11 )
| ~ ( in @ X1 @ ( powerset @ X0 ) )
| ( subset @ X1 @ ( setminus @ sk__11 @ sk__12 ) )
| ~ ( in @ ( setminus @ sk__11 @ sk__12 ) @ ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl7]) ).
thf(zip_derived_cl142,plain,
( ~ ( in @ ( setminus @ sk__11 @ sk__12 ) @ ( powerset @ sk__11 ) )
| ( subset @ sk__13 @ ( setminus @ sk__11 @ sk__12 ) )
| ~ ( in @ sk__13 @ ( powerset @ sk__11 ) )
| ~ ( in @ ( sk__10 @ ( setminus @ sk__11 @ sk__12 ) @ sk__13 @ sk__11 ) @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl32]) ).
thf(zip_derived_cl3_004,plain,
~ ( subset @ sk__13 @ ( setminus @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_005,plain,
in @ sk__13 @ ( powerset @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_006,plain,
in @ sk__13 @ ( powerset @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_007,plain,
in @ sk__12 @ ( powerset @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_008,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_cl8,plain,
! [X6: $i,X7: $i,X8: $i] :
( ~ ( in @ X6 @ ( powerset @ X7 ) )
| ( subset @ X8 @ X6 )
| ( in @ ( sk__10 @ X6 @ X8 @ X7 ) @ X7 )
| ~ ( in @ X8 @ ( powerset @ X7 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ ( powerset @ X0 ) )
| ~ ( in @ X2 @ ( powerset @ X0 ) )
| ( in @ ( sk__10 @ ( setminus @ X0 @ X1 ) @ X2 @ X0 ) @ X0 )
| ( subset @ X2 @ ( setminus @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl8]) ).
thf(zip_derived_cl103,plain,
! [X0: $i] :
( ( subset @ X0 @ ( setminus @ sk__11 @ sk__12 ) )
| ( in @ ( sk__10 @ ( setminus @ sk__11 @ sk__12 ) @ X0 @ sk__11 ) @ sk__11 )
| ~ ( in @ X0 @ ( powerset @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl48]) ).
thf(zip_derived_cl116,plain,
( ( in @ ( sk__10 @ ( setminus @ sk__11 @ sk__12 ) @ sk__13 @ sk__11 ) @ sk__11 )
| ( subset @ sk__13 @ ( setminus @ sk__11 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl103]) ).
thf(zip_derived_cl3_009,plain,
~ ( subset @ sk__13 @ ( setminus @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl122,plain,
in @ ( sk__10 @ ( setminus @ sk__11 @ sk__12 ) @ sk__13 @ sk__11 ) @ sk__11,
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl3]) ).
thf(zip_derived_cl144,plain,
~ ( in @ ( setminus @ sk__11 @ sk__12 ) @ ( powerset @ sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl3,zip_derived_cl2,zip_derived_cl122]) ).
thf(zip_derived_cl152,plain,
~ ( in @ sk__12 @ ( powerset @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl144]) ).
thf(zip_derived_cl5_010,plain,
in @ sk__12 @ ( powerset @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl154,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU737^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Yyy17iEQER true
% 0.13/0.36 % Computer : n016.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 16:11:53 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.6.8
% 0.13/0.37 % Running in HO mode
% 0.57/0.68 % Total configuration time : 828
% 0.57/0.68 % Estimated wc time : 1656
% 0.57/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.86 % Solved by lams/40_c.s.sh.
% 0.61/0.86 % done 86 iterations in 0.069s
% 0.61/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.86 % SZS output start Refutation
% See solution above
% 0.61/0.86
% 0.61/0.86
% 0.61/0.86 % Terminating...
% 0.65/0.97 % Runner terminated.
% 0.65/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------