%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU521^2 : 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.u50ORm3Yvo true
% Computer : n017.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 04:54:54 PM UTC 2025
% Result : Theorem 0.51s 0.77s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU521^2 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.u50ORm3Yvo true
% 0.11/0.34 % Computer : n017.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Wed Oct 1 16:10:38 EDT 2025
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in HO mode
% 0.49/0.65 % Total configuration time : 828
% 0.49/0.65 % Estimated wc time : 1656
% 0.49/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.77 % Solved by lams/15_e_short1.sh.
% 0.51/0.77 % done 6 iterations in 0.020s
% 0.51/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.77 % SZS output start Refutation
% 0.51/0.77 thf(in_type, type, in: $i > $i > $o).
% 0.51/0.77 thf('#sk2_type', type, '#sk2': $i).
% 0.51/0.77 thf(powersetAx_type, type, powersetAx: $o).
% 0.51/0.77 thf(powerset_type, type, powerset: $i > $i).
% 0.51/0.77 thf('#sk4_type', type, '#sk4': $i).
% 0.51/0.77 thf('#sk1_type', type, '#sk1': $i).
% 0.51/0.77 thf(powersetAx, axiom, powersetAx =
% 0.51/0.77 (![A:$i,B:$i]:
% 0.51/0.77 ( ( in @ B @ ( powerset @ A ) ) <=>
% 0.51/0.77 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))).
% 0.51/0.77 thf('0', plain,
% 0.51/0.77 (( powersetAx ) =
% 0.51/0.77 ( ![X4:$i,X6:$i]:
% 0.51/0.77 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.51/0.77 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )),
% 0.51/0.77 define([status(thm)])).
% 0.51/0.77 thf(powersetE, conjecture,
% 0.51/0.77 (( powersetAx ) =>
% 0.51/0.77 ( ![A:$i,B:$i,Xx:$i]:
% 0.51/0.77 ( ( in @ B @ ( powerset @ A ) ) =>
% 0.51/0.77 ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))).
% 0.51/0.77 thf(zf_stmt_0, conjecture,
% 0.51/0.77 (( ![X4:$i,X6:$i]:
% 0.51/0.77 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.51/0.77 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) ) =>
% 0.51/0.77 ( ![X10:$i,X12:$i,X14:$i]:
% 0.51/0.77 ( ( in @ X12 @ ( powerset @ X10 ) ) =>
% 0.51/0.77 ( ( in @ X14 @ X12 ) => ( in @ X14 @ X10 ) ) ) ))).
% 0.51/0.77 thf(zf_stmt_1, negated_conjecture,
% 0.51/0.77 (~( ( ![X4:$i,X6:$i]:
% 0.51/0.77 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.51/0.77 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) ) =>
% 0.51/0.77 ( ![X10:$i,X12:$i,X14:$i]:
% 0.51/0.77 ( ( in @ X12 @ ( powerset @ X10 ) ) =>
% 0.51/0.77 ( ( in @ X14 @ X12 ) => ( in @ X14 @ X10 ) ) ) ) )),
% 0.51/0.77 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 0.51/0.77 thf(zip_derived_cl0, plain,
% 0.51/0.77 (~ (((((!!) @ (^[Y0 : $i]:
% 0.51/0.77 (((!!) @ (^[Y1 : $i]:
% 0.51/0.77 (((in @ Y1 @ (powerset @ Y0)) <=>
% 0.51/0.77 (((!!) @ (^[Y2 : $i]:
% 0.51/0.77 (((in @ Y2 @ Y1) => (in @
% 0.51/0.77 Y2 @ Y0)))))))))))))) =>
% 0.51/0.77 (((!!) @ (^[Y0 : $i]:
% 0.51/0.77 (((!!) @ (^[Y1 : $i]:
% 0.51/0.77 (((!!) @ (^[Y2 : $i]:
% 0.51/0.77 (((in @ Y1 @ (powerset @ Y0)) =>
% 0.51/0.77 (((in @ Y2 @ Y1) => (in @
% 0.51/0.77 Y2 @ Y0))))))))))))))))),
% 0.51/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/0.77 thf(zip_derived_cl4, plain,
% 0.51/0.77 (~ (((!!) @ (^[Y0 : $i]:
% 0.51/0.77 (((!!) @ (^[Y1 : $i]:
% 0.51/0.77 (((!!) @ (^[Y2 : $i]:
% 0.51/0.77 (((in @ Y1 @ (powerset @ Y0)) =>
% 0.51/0.77 (((in @ Y2 @ Y1) => (in @ Y2 @
% 0.51/0.77 Y0))))))))))))))),
% 0.51/0.77 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
% 0.51/0.77 thf(zip_derived_cl6, plain,
% 0.51/0.77 (~ (((!!) @ (^[Y0 : $i]:
% 0.51/0.77 (((!!) @ (^[Y1 : $i]:
% 0.51/0.77 (((in @ Y0 @ (powerset @ '#sk1')) =>
% 0.51/0.77 (((in @ Y1 @ Y0) => (in @ Y1 @ '#sk1')))))))))))),
% 0.51/0.77 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])).
% 0.51/0.77 thf(zip_derived_cl8, plain,
% 0.51/0.77 (~ (((!!) @ (^[Y0 : $i]:
% 0.51/0.77 (((in @ '#sk2' @ (powerset @ '#sk1')) =>
% 0.51/0.77 (((in @ Y0 @ '#sk2') => (in @ Y0 @ '#sk1'))))))))),
% 0.51/0.77 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])).
% 0.51/0.77 thf(zip_derived_cl12, plain,
% 0.51/0.77 (~ (((in @ '#sk2' @ (powerset @ '#sk1')) =>
% 0.51/0.77 (((in @ '#sk4' @ '#sk2') => (in @ '#sk4' @ '#sk1')))))),
% 0.51/0.77 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])).
% 0.51/0.77 thf(zip_derived_cl18, plain,
% 0.51/0.77 (~ (((in @ '#sk4' @ '#sk2') => (in @ '#sk4' @ '#sk1')))),
% 0.51/0.77 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])).
% 0.51/0.77 thf(zip_derived_cl20, plain, (~ (in @ '#sk4' @ '#sk1')),
% 0.51/0.77 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])).
% 0.51/0.77 thf(zip_derived_cl17, plain, ( (in @ '#sk2' @ (powerset @ '#sk1'))),
% 0.51/0.77 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])).
% 0.51/0.77 thf(zip_derived_cl19, plain, ( (in @ '#sk4' @ '#sk2')),
% 0.51/0.77 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])).
% 0.51/0.77 thf(zip_derived_cl3, plain,
% 0.51/0.77 ( (((!!) @ (^[Y0 : $i]:
% 0.51/0.77 (((!!) @ (^[Y1 : $i]:
% 0.51/0.77 (((in @ Y1 @ (powerset @ Y0)) <=>
% 0.51/0.77 (((!!) @ (^[Y2 : $i]:
% 0.51/0.77 (((in @ Y2 @ Y1) => (in @ Y2 @
% 0.51/0.77 Y0))))))))))))))),
% 0.51/0.77 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
% 0.51/0.77 thf(zip_derived_cl5, plain,
% 0.51/0.77 (![X2 : $i]:
% 0.51/0.77 (((!!) @ (^[Y0 : $i]:
% 0.51/0.77 (((in @ Y0 @ (powerset @ X2)) <=>
% 0.51/0.77 (((!!) @ (^[Y1 : $i]:
% 0.51/0.77 (((in @ Y1 @ Y0) => (in @ Y1 @ X2)))))))))))),
% 0.51/0.77 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])).
% 0.51/0.77 thf(zip_derived_cl7, plain,
% 0.51/0.77 (![X2 : $i, X4 : $i]:
% 0.51/0.77 (((in @ X4 @ (powerset @ X2)) <=>
% 0.51/0.77 (((!!) @ (^[Y0 : $i]: (((in @ Y0 @ X4) => (in @ Y0 @ X2))))))))),
% 0.51/0.77 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
% 0.51/0.77 thf(zip_derived_cl9, plain,
% 0.51/0.77 (![X2 : $i, X4 : $i]:
% 0.51/0.77 ((in @ X4 @ (powerset @ X2))
% 0.51/0.77 = (((!!) @ (^[Y0 : $i]: (((in @ Y0 @ X4) => (in @ Y0 @ X2)))))))),
% 0.51/0.77 inference('simplify nested equalities', [status(thm)], [zip_derived_cl7])).
% 0.51/0.77 thf(zip_derived_cl10, plain,
% 0.51/0.77 (![X-81 : $i, X2 : $i, X4 : $i]:
% 0.51/0.77 ( ((^[Y0 : $i]: (((in @ Y0 @ X4) => (in @ Y0 @ X2)))) @ X-81)
% 0.51/0.77 | ~ (in @ X4 @ (powerset @ X2)))),
% 0.51/0.77 inference('forall_hoist', [status(thm)], [zip_derived_cl9])).
% 0.51/0.77 thf(zip_derived_cl14, plain,
% 0.51/0.77 (![X-81 : $i, X2 : $i, X4 : $i]:
% 0.51/0.77 ( (((in @ X-81 @ X4) => (in @ X-81 @ X2)))
% 0.51/0.77 | ~ (in @ X4 @ (powerset @ X2)))),
% 0.51/0.77 inference('ho_norm', [status(thm)], [zip_derived_cl10])).
% 0.51/0.77 thf(zip_derived_cl15, plain,
% 0.51/0.77 (![X2 : $i, X4 : $i, X5 : $i]:
% 0.51/0.77 ( (((in @ X5 @ X4) => (in @ X5 @ X2))) | ~ (in @ X4 @ (powerset @ X2)))),
% 0.51/0.77 inference('cannonize vars', [status(thm)], [zip_derived_cl14])).
% 0.51/0.77 thf(zip_derived_cl16, plain,
% 0.51/0.77 (![X2 : $i, X4 : $i, X5 : $i]:
% 0.51/0.77 (~ (in @ X5 @ X4) | (in @ X5 @ X2) | ~ (in @ X4 @ (powerset @ X2)))),
% 0.51/0.77 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])).
% 0.51/0.77 thf(zip_derived_cl25, plain,
% 0.51/0.77 (![X0 : $i]: (~ (in @ '#sk2' @ (powerset @ X0)) | (in @ '#sk4' @ X0))),
% 0.51/0.77 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl16])).
% 0.51/0.77 thf(zip_derived_cl33, plain, ( (in @ '#sk4' @ '#sk1')),
% 0.51/0.77 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl25])).
% 0.51/0.77 thf(zip_derived_cl35, plain, ($false),
% 0.51/0.77 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl33])).
% 0.51/0.77
% 0.51/0.77 % SZS output end Refutation
% 0.51/0.77
% 0.51/0.77
% 0.51/0.77 % Terminating...
% 0.58/0.84 % Runner terminated.
% 1.86/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------