%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU512^1 : 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.0xeE9G33QQ true
% Computer : n027.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 04:54:51 PM UTC 2025
% Result : Theorem 0.58s 0.81s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU512^1 : TPTP v9.2.0. Released v3.7.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0xeE9G33QQ true
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 16:10:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.57/0.67 % Total configuration time : 828
% 0.57/0.67 % Estimated wc time : 1656
% 0.57/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.81 % Solved by lams/40_c_ic.sh.
% 0.58/0.81 % done 31 iterations in 0.017s
% 0.58/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.81 % SZS output start Refutation
% 0.58/0.81 thf(setadjoinAx_type, type, setadjoinAx: $o).
% 0.58/0.81 thf(setunionAx_type, type, setunionAx: $o).
% 0.58/0.81 thf(omegaSAx_type, type, omegaSAx: $o).
% 0.58/0.81 thf(nonemptyI1_type, type, nonemptyI1: $o).
% 0.58/0.81 thf(wellorderingAx_type, type, wellorderingAx: $o).
% 0.58/0.81 thf(emptysetE_type, type, emptysetE: $o).
% 0.58/0.81 thf(nonemptyE1_type, type, nonemptyE1: $o).
% 0.58/0.81 thf(in_type, type, in: $i > $i > $o).
% 0.58/0.81 thf(emptyI_type, type, emptyI: $o).
% 0.58/0.81 thf(dsetconstrEL_type, type, dsetconstrEL: $o).
% 0.58/0.81 thf(powersetAx_type, type, powersetAx: $o).
% 0.58/0.81 thf(notinemptyset_type, type, notinemptyset: $o).
% 0.58/0.81 thf(emptyset_type, type, emptyset: $i).
% 0.58/0.81 thf(setext_type, type, setext: $o).
% 0.58/0.81 thf(setbeta_type, type, setbeta: $o).
% 0.58/0.81 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o).
% 0.58/0.81 thf(sk__9_type, type, sk__9: $i).
% 0.58/0.81 thf(sk__8_type, type, sk__8: $i).
% 0.58/0.81 thf(exuE1_type, type, exuE1: $o).
% 0.58/0.81 thf(nonemptyI_type, type, nonemptyI: $o).
% 0.58/0.81 thf(omega0Ax_type, type, omega0Ax: $o).
% 0.58/0.81 thf(prop2setE_type, type, prop2setE: $o).
% 0.58/0.81 thf(setextAx_type, type, setextAx: $o).
% 0.58/0.81 thf(descrp_type, type, descrp: $o).
% 0.58/0.81 thf(foundationAx_type, type, foundationAx: $o).
% 0.58/0.81 thf(emptysetAx_type, type, emptysetAx: $o).
% 0.58/0.81 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.58/0.81 thf(dsetconstrER_type, type, dsetconstrER: $o).
% 0.58/0.81 thf(noeltsimpempty_type, type, noeltsimpempty: $o).
% 0.58/0.81 thf(omega_type, type, omega: $i).
% 0.58/0.81 thf(exuE3e_type, type, exuE3e: $o).
% 0.58/0.81 thf(dsetconstrI_type, type, dsetconstrI: $o).
% 0.58/0.81 thf(setadjoin_type, type, setadjoin: $i > $i > $i).
% 0.58/0.81 thf(replAx_type, type, replAx: $o).
% 0.58/0.81 thf(omegaIndAx_type, type, omegaIndAx: $o).
% 0.58/0.81 thf(omegaIndAx, axiom, omegaIndAx =
% 0.58/0.81 (![A:$i]:
% 0.58/0.81 ( ( ( in @ emptyset @ A ) &
% 0.58/0.81 ( ![Xx:$i]:
% 0.58/0.81 ( ( ( in @ Xx @ omega ) & ( in @ Xx @ A ) ) =>
% 0.58/0.81 ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) ) ) =>
% 0.58/0.81 ( ![Xx:$i]: ( ( in @ Xx @ omega ) => ( in @ Xx @ A ) ) ) ))).
% 0.58/0.81 thf('0', plain,
% 0.58/0.81 (( omegaIndAx ) =
% 0.58/0.81 ( ![X4:$i]:
% 0.58/0.81 ( ( ( in @ emptyset @ X4 ) &
% 0.58/0.81 ( ![X6:$i]:
% 0.58/0.81 ( ( ( in @ X6 @ omega ) & ( in @ X6 @ X4 ) ) =>
% 0.58/0.81 ( in @ ( setadjoin @ X6 @ X6 ) @ X4 ) ) ) ) =>
% 0.58/0.81 ( ![X8:$i]: ( ( in @ X8 @ omega ) => ( in @ X8 @ X4 ) ) ) ) )),
% 0.58/0.81 define([status(thm)])).
% 0.58/0.81 thf(omegaSAx, axiom, omegaSAx =
% 0.58/0.81 (![Xx:$i]:
% 0.58/0.81 ( ( in @ Xx @ omega ) => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ))).
% 0.58/0.81 thf('1', plain,
% 0.58/0.81 (( omegaSAx ) =
% 0.58/0.81 ( ![X4:$i]:
% 0.58/0.81 ( ( in @ X4 @ omega ) => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) ) )),
% 0.58/0.81 define([status(thm)])).
% 0.58/0.81 thf(setadjoinAx, axiom, setadjoinAx =
% 0.58/0.81 (![Xx:$i,A:$i,Xy:$i]:
% 0.58/0.81 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=>
% 0.58/0.81 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))).
% 0.58/0.81 thf('2', plain,
% 0.58/0.81 (( setadjoinAx ) =
% 0.58/0.81 ( ![X4:$i,X6:$i,X8:$i]:
% 0.58/0.81 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=>
% 0.58/0.81 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )),
% 0.58/0.81 define([status(thm)])).
% 0.58/0.81 thf(setadjoinIL, conjecture,
% 0.58/0.81 (( setextAx ) =>
% 0.58/0.81 ( ( emptysetAx ) =>
% 0.58/0.81 ( ( setadjoinAx ) =>
% 0.58/0.81 ( ( powersetAx ) =>
% 0.58/0.81 ( ( setunionAx ) =>
% 0.58/0.81 ( ( omega0Ax ) =>
% 0.58/0.81 ( ( omegaSAx ) =>
% 0.58/0.81 ( ( omegaIndAx ) =>
% 0.58/0.81 ( ( replAx ) =>
% 0.58/0.81 ( ( foundationAx ) =>
% 0.58/0.81 ( ( wellorderingAx ) =>
% 0.58/0.81 ( ( descrp ) =>
% 0.58/0.81 ( ( dsetconstrI ) =>
% 0.58/0.81 ( ( dsetconstrEL ) =>
% 0.58/0.81 ( ( dsetconstrER ) =>
% 0.58/0.81 ( ( exuE1 ) =>
% 0.58/0.81 ( ( prop2setE ) =>
% 0.58/0.81 ( ( emptysetE ) =>
% 0.58/0.81 ( ( emptysetimpfalse ) =>
% 0.58/0.81 ( ( notinemptyset ) =>
% 0.58/0.81 ( ( exuE3e ) =>
% 0.58/0.81 ( ( setext ) =>
% 0.58/0.81 ( ( emptyI ) =>
% 0.58/0.81 ( ( noeltsimpempty ) =>
% 0.58/0.81 ( ( setbeta ) =>
% 0.58/0.81 ( ( nonemptyE1 ) =>
% 0.58/0.81 ( ( nonemptyI ) =>
% 0.58/0.81 ( ( nonemptyI1 ) =>
% 0.58/0.81 ( ![Xx:$i,Xy:$i]:
% 0.58/0.81 ( in @
% 0.58/0.81 Xx @
% 0.58/0.81 ( setadjoin @
% 0.58/0.81 Xx @ Xy ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.58/0.81 thf(zf_stmt_0, conjecture,
% 0.58/0.81 (( setextAx ) =>
% 0.58/0.81 ( ( emptysetAx ) =>
% 0.58/0.81 ( ( ![X4:$i,X6:$i,X8:$i]:
% 0.58/0.81 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=>
% 0.58/0.81 ( ( in @ X8 @ X6 ) | ( ( X8 ) = ( X4 ) ) ) ) ) =>
% 0.58/0.81 ( ( powersetAx ) =>
% 0.58/0.81 ( ( setunionAx ) =>
% 0.58/0.81 ( ( omega0Ax ) =>
% 0.58/0.81 ( ( ![X10:$i]:
% 0.58/0.81 ( ( in @ X10 @ omega ) =>
% 0.58/0.81 ( in @ ( setadjoin @ X10 @ X10 ) @ omega ) ) ) =>
% 0.58/0.81 ( ( ![X12:$i]:
% 0.58/0.81 ( ( ( ![X14:$i]:
% 0.58/0.81 ( ( ( in @ X14 @ X12 ) & ( in @ X14 @ omega ) ) =>
% 0.58/0.81 ( in @ ( setadjoin @ X14 @ X14 ) @ X12 ) ) ) &
% 0.58/0.81 ( in @ emptyset @ X12 ) ) =>
% 0.58/0.81 ( ![X16:$i]:
% 0.58/0.81 ( ( in @ X16 @ omega ) => ( in @ X16 @ X12 ) ) ) ) ) =>
% 0.58/0.81 ( ( replAx ) =>
% 0.58/0.81 ( ( foundationAx ) =>
% 0.58/0.81 ( ( wellorderingAx ) =>
% 0.58/0.81 ( ( descrp ) =>
% 0.58/0.81 ( ( dsetconstrI ) =>
% 0.58/0.81 ( ( dsetconstrEL ) =>
% 0.58/0.81 ( ( dsetconstrER ) =>
% 0.58/0.81 ( ( exuE1 ) =>
% 0.58/0.81 ( ( prop2setE ) =>
% 0.58/0.81 ( ( emptysetE ) =>
% 0.58/0.81 ( ( emptysetimpfalse ) =>
% 0.58/0.81 ( ( notinemptyset ) =>
% 0.58/0.81 ( ( exuE3e ) =>
% 0.58/0.81 ( ( setext ) =>
% 0.58/0.81 ( ( emptyI ) =>
% 0.58/0.81 ( ( noeltsimpempty ) =>
% 0.58/0.81 ( ( setbeta ) =>
% 0.58/0.81 ( ( nonemptyE1 ) =>
% 0.58/0.81 ( ( nonemptyI ) =>
% 0.58/0.81 ( ( nonemptyI1 ) =>
% 0.58/0.81 ( ![X18:$i,X20:$i]:
% 0.58/0.81 ( in @
% 0.58/0.81 X18 @
% 0.58/0.81 ( setadjoin @
% 0.58/0.81 X18 @ X20 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.58/0.81 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.58/0.81 thf(zf_stmt_2, axiom,
% 0.58/0.81 (![X8:$i,X6:$i,X4:$i]:
% 0.58/0.81 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=>
% 0.58/0.81 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ))).
% 0.58/0.81 thf(zf_stmt_3, conjecture,
% 0.58/0.81 (( setextAx ) =>
% 0.58/0.81 ( ( emptysetAx ) =>
% 0.58/0.81 ( ( ![X4:$i,X6:$i,X8:$i]:
% 0.58/0.81 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=>
% 0.58/0.81 ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) =>
% 0.58/0.81 ( ( powersetAx ) =>
% 0.58/0.81 ( ( setunionAx ) =>
% 0.58/0.81 ( ( omega0Ax ) =>
% 0.58/0.81 ( ( ![X10:$i]:
% 0.58/0.81 ( ( in @ X10 @ omega ) =>
% 0.58/0.81 ( in @ ( setadjoin @ X10 @ X10 ) @ omega ) ) ) =>
% 0.58/0.81 ( ( ![X12:$i]:
% 0.58/0.81 ( ( ( in @ emptyset @ X12 ) &
% 0.58/0.81 ( ![X14:$i]:
% 0.58/0.81 ( ( ( in @ X14 @ omega ) & ( in @ X14 @ X12 ) ) =>
% 0.58/0.81 ( in @ ( setadjoin @ X14 @ X14 ) @ X12 ) ) ) ) =>
% 0.58/0.81 ( ![X16:$i]:
% 0.58/0.81 ( ( in @ X16 @ omega ) => ( in @ X16 @ X12 ) ) ) ) ) =>
% 0.58/0.81 ( ( replAx ) =>
% 0.58/0.81 ( ( foundationAx ) =>
% 0.58/0.81 ( ( wellorderingAx ) =>
% 0.58/0.81 ( ( descrp ) =>
% 0.58/0.81 ( ( dsetconstrI ) =>
% 0.58/0.81 ( ( dsetconstrEL ) =>
% 0.58/0.81 ( ( dsetconstrER ) =>
% 0.58/0.81 ( ( exuE1 ) =>
% 0.58/0.81 ( ( prop2setE ) =>
% 0.58/0.81 ( ( emptysetE ) =>
% 0.58/0.81 ( ( emptysetimpfalse ) =>
% 0.58/0.81 ( ( notinemptyset ) =>
% 0.58/0.81 ( ( exuE3e ) =>
% 0.58/0.81 ( ( setext ) =>
% 0.58/0.81 ( ( emptyI ) =>
% 0.58/0.81 ( ( noeltsimpempty ) =>
% 0.58/0.81 ( ( setbeta ) =>
% 0.58/0.81 ( ( nonemptyE1 ) =>
% 0.58/0.81 ( ( nonemptyI ) =>
% 0.58/0.81 ( ( nonemptyI1 ) =>
% 0.58/0.81 ( ![X18:$i,X20:$i]:
% 0.58/0.81 ( in @
% 0.58/0.81 X18 @
% 0.58/0.81 ( setadjoin @
% 0.58/0.81 X18 @ X20 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.58/0.81 thf(zf_stmt_4, negated_conjecture,
% 0.58/0.81 (~( ( setextAx ) =>
% 0.58/0.81 ( ( emptysetAx ) =>
% 0.58/0.81 ( ( ![X4:$i,X6:$i,X8:$i]:
% 0.58/0.81 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=>
% 0.58/0.81 ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) =>
% 0.58/0.81 ( ( powersetAx ) =>
% 0.58/0.81 ( ( setunionAx ) =>
% 0.58/0.81 ( ( omega0Ax ) =>
% 0.58/0.81 ( ( ![X10:$i]:
% 0.58/0.81 ( ( in @ X10 @ omega ) =>
% 0.58/0.81 ( in @ ( setadjoin @ X10 @ X10 ) @ omega ) ) ) =>
% 0.58/0.81 ( ( ![X12:$i]:
% 0.58/0.81 ( ( ( in @ emptyset @ X12 ) &
% 0.58/0.81 ( ![X14:$i]:
% 0.58/0.81 ( ( ( in @ X14 @ omega ) & ( in @ X14 @ X12 ) ) =>
% 0.58/0.81 ( in @ ( setadjoin @ X14 @ X14 ) @ X12 ) ) ) ) =>
% 0.58/0.81 ( ![X16:$i]:
% 0.58/0.81 ( ( in @ X16 @ omega ) => ( in @ X16 @ X12 ) ) ) ) ) =>
% 0.58/0.81 ( ( replAx ) =>
% 0.58/0.81 ( ( foundationAx ) =>
% 0.58/0.81 ( ( wellorderingAx ) =>
% 0.58/0.81 ( ( descrp ) =>
% 0.58/0.81 ( ( dsetconstrI ) =>
% 0.58/0.81 ( ( dsetconstrEL ) =>
% 0.58/0.81 ( ( dsetconstrER ) =>
% 0.58/0.81 ( ( exuE1 ) =>
% 0.58/0.81 ( ( prop2setE ) =>
% 0.58/0.81 ( ( emptysetE ) =>
% 0.58/0.81 ( ( emptysetimpfalse ) =>
% 0.58/0.81 ( ( notinemptyset ) =>
% 0.58/0.81 ( ( exuE3e ) =>
% 0.58/0.81 ( ( setext ) =>
% 0.58/0.81 ( ( emptyI ) =>
% 0.58/0.81 ( ( noeltsimpempty ) =>
% 0.58/0.81 ( ( setbeta ) =>
% 0.58/0.81 ( ( nonemptyE1 ) =>
% 0.58/0.81 ( ( nonemptyI ) =>
% 0.58/0.81 ( ( nonemptyI1 ) =>
% 0.58/0.81 ( ![X18:$i,X20:$i]:
% 0.58/0.81 ( in @
% 0.58/0.81 X18 @
% 0.58/0.81 ( setadjoin @
% 0.58/0.81 X18 @ X20 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 0.58/0.81 inference('cnf.neg', [status(esa)], [zf_stmt_3])).
% 0.58/0.81 thf(zip_derived_cl18, plain, (~ (in @ sk__8 @ (setadjoin @ sk__8 @ sk__9))),
% 0.58/0.81 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.58/0.81 thf(zip_derived_cl4, plain,
% 0.58/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.81 ( (in @ X0 @ (setadjoin @ X1 @ X2)) | ~ (zip_tseitin_0 @ X0 @ X2 @ X1))),
% 0.58/0.81 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.58/0.81 thf(zip_derived_cl1, plain,
% 0.58/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.81 ( (zip_tseitin_0 @ X0 @ X1 @ X2) | ((X0) != (X2)))),
% 0.58/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.58/0.81 thf(zip_derived_cl35, plain,
% 0.58/0.81 (![X1 : $i, X2 : $i]: (zip_tseitin_0 @ X2 @ X1 @ X2)),
% 0.58/0.81 inference('simplify', [status(thm)], [zip_derived_cl1])).
% 0.58/0.81 thf(zip_derived_cl40, plain,
% 0.58/0.81 (![X0 : $i, X1 : $i]: (in @ X0 @ (setadjoin @ X0 @ X1))),
% 0.58/0.81 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl35])).
% 0.58/0.81 thf(zip_derived_cl48, plain, ($false),
% 0.58/0.81 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl40])).
% 0.58/0.81
% 0.58/0.81 % SZS output end Refutation
% 0.58/0.81
% 0.58/0.81
% 0.58/0.81 % Terminating...
% 1.62/0.86 % Runner terminated.
% 1.62/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------