%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU524^1 : 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.XggTjWzzz9 true
% Computer : n003.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 0.61s 1.05s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU524^1 : TPTP v9.2.0. Released v3.7.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XggTjWzzz9 true
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:10:53 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
% 0.54/0.68 % Total configuration time : 828
% 0.54/0.68 % Estimated wc time : 1656
% 0.54/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.61/0.82 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.61/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.61/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.61/0.85 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.61/0.86 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/1.05 % Solved by lams/40_c_ic.sh.
% 0.61/1.05 % done 147 iterations in 0.195s
% 0.61/1.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/1.05 % SZS output start Refutation
% 0.61/1.05 thf(setadjoinAx_type, type, setadjoinAx: $o).
% 0.61/1.05 thf(setunionAx_type, type, setunionAx: $o).
% 0.61/1.05 thf(emptyinunitempty_type, type, emptyinunitempty: $o).
% 0.61/1.05 thf(emptyInPowerset_type, type, emptyInPowerset: $o).
% 0.61/1.05 thf(omegaSAx_type, type, omegaSAx: $o).
% 0.61/1.05 thf(nonemptyI1_type, type, nonemptyI1: $o).
% 0.61/1.05 thf(wellorderingAx_type, type, wellorderingAx: $o).
% 0.61/1.05 thf(emptysetE_type, type, emptysetE: $o).
% 0.61/1.05 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 0.61/1.05 thf(nonemptyE1_type, type, nonemptyE1: $o).
% 0.61/1.05 thf(setadjoinIR_type, type, setadjoinIR: $o).
% 0.61/1.05 thf(in_type, type, in: $i > $i > $o).
% 0.61/1.05 thf(setoftrueEq_type, type, setoftrueEq: $o).
% 0.61/1.05 thf(emptyI_type, type, emptyI: $o).
% 0.61/1.05 thf(dsetconstrEL_type, type, dsetconstrEL: $o).
% 0.61/1.05 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.61/1.05 thf(powersetAx_type, type, powersetAx: $o).
% 0.61/1.05 thf(setadjoinOr_type, type, setadjoinOr: $o).
% 0.61/1.05 thf(notinemptyset_type, type, notinemptyset: $o).
% 0.61/1.05 thf(sk__27_type, type, sk__27: $i > $i > $i).
% 0.61/1.05 thf(emptyset_type, type, emptyset: $i).
% 0.61/1.05 thf(setext_type, type, setext: $o).
% 0.61/1.05 thf(setbeta_type, type, setbeta: $o).
% 0.61/1.05 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o).
% 0.61/1.05 thf(setadjoinIL_type, type, setadjoinIL: $o).
% 0.61/1.05 thf(sk__26_type, type, sk__26: $i).
% 0.61/1.05 thf(exuE1_type, type, exuE1: $o).
% 0.61/1.05 thf(nonemptyI_type, type, nonemptyI: $o).
% 0.61/1.05 thf(omega0Ax_type, type, omega0Ax: $o).
% 0.61/1.05 thf(powersetI_type, type, powersetI: $o).
% 0.61/1.05 thf(prop2setE_type, type, prop2setE: $o).
% 0.61/1.05 thf(setextAx_type, type, setextAx: $o).
% 0.61/1.05 thf(setunion_type, type, setunion: $i > $i).
% 0.61/1.05 thf(descrp_type, type, descrp: $o).
% 0.61/1.05 thf(foundationAx_type, type, foundationAx: $o).
% 0.61/1.05 thf(emptysetAx_type, type, emptysetAx: $o).
% 0.61/1.05 thf(emptyinPowerset_type, type, emptyinPowerset: $o).
% 0.61/1.05 thf(dsetconstrER_type, type, dsetconstrER: $o).
% 0.61/1.05 thf(sk__25_type, type, sk__25: $i).
% 0.61/1.05 thf(powersetE_type, type, powersetE: $o).
% 0.61/1.05 thf(noeltsimpempty_type, type, noeltsimpempty: $o).
% 0.61/1.05 thf(setunionI_type, type, setunionI: $o).
% 0.61/1.05 thf(exuE3e_type, type, exuE3e: $o).
% 0.61/1.05 thf(powerset_type, type, powerset: $i > $i).
% 0.61/1.05 thf(dsetconstrI_type, type, dsetconstrI: $o).
% 0.61/1.05 thf(setadjoinE_type, type, setadjoinE: $o).
% 0.61/1.05 thf(replAx_type, type, replAx: $o).
% 0.61/1.05 thf(omegaIndAx_type, type, omegaIndAx: $o).
% 0.61/1.05 thf(setunionE_type, type, setunionE: $o).
% 0.61/1.05 thf(setunionE, axiom, setunionE =
% 0.61/1.05 (![A:$i,Xx:$i]:
% 0.61/1.05 ( ( in @ Xx @ ( setunion @ A ) ) =>
% 0.61/1.05 ( ![Xphi:$o]:
% 0.61/1.05 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) =>
% 0.61/1.05 ( Xphi ) ) ) ))).
% 0.61/1.05 thf('0', plain,
% 0.61/1.05 (( setunionE ) =
% 0.61/1.05 ( ![X4:$i,X6:$i]:
% 0.61/1.05 ( ( in @ X6 @ ( setunion @ X4 ) ) =>
% 0.61/1.05 ( ![X8:$o]:
% 0.61/1.05 ( ( ![X10:$i]:
% 0.61/1.05 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) =>
% 0.61/1.05 ( X8 ) ) ) ) )),
% 0.61/1.05 define([status(thm)])).
% 0.61/1.05 thf(setunionI, axiom, setunionI =
% 0.61/1.05 (![A:$i,Xx:$i,B:$i]:
% 0.61/1.05 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))).
% 0.61/1.05 thf('1', plain,
% 0.61/1.05 (( setunionI ) =
% 0.61/1.05 ( ![X4:$i,X6:$i,X8:$i]:
% 0.61/1.05 ( ( in @ X6 @ X8 ) =>
% 0.61/1.05 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )),
% 0.61/1.05 define([status(thm)])).
% 0.61/1.05 thf(powersetE, axiom, powersetE =
% 0.61/1.05 (![A:$i,B:$i,Xx:$i]:
% 0.61/1.05 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))).
% 0.61/1.05 thf('2', plain,
% 0.61/1.05 (( powersetE ) =
% 0.61/1.05 ( ![X4:$i,X6:$i,X8:$i]:
% 0.61/1.05 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.61/1.05 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )),
% 0.61/1.05 define([status(thm)])).
% 0.61/1.05 thf(emptyInPowerset, axiom, emptyInPowerset =
% 0.61/1.05 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))).
% 0.61/1.05 thf('3', plain,
% 0.61/1.05 (( emptyInPowerset ) =
% 0.61/1.05 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )),
% 0.61/1.05 define([status(thm)])).
% 0.61/1.05 thf(emptyinPowerset, axiom, emptyinPowerset =
% 0.61/1.05 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))).
% 0.61/1.05 thf('4', plain,
% 0.61/1.05 (( emptyinPowerset ) =
% 0.61/1.05 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )),
% 0.61/1.05 define([status(thm)])).
% 0.61/1.05 thf(powersetI, axiom, powersetI =
% 0.61/1.05 (![A:$i,B:$i]:
% 0.61/1.05 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) =>
% 0.61/1.05 ( in @ B @ ( powerset @ A ) ) ))).
% 0.61/1.05 thf('5', plain,
% 0.61/1.05 (( powersetI ) =
% 0.61/1.05 ( ![X4:$i,X6:$i]:
% 0.61/1.05 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) =>
% 0.61/1.05 ( in @ X6 @ ( powerset @ X4 ) ) ) )),
% 0.61/1.05 define([status(thm)])).
% 0.61/1.05 thf(setunionAx, axiom, setunionAx =
% 0.61/1.05 (![A:$i,Xx:$i]:
% 0.61/1.05 ( ( in @ Xx @ ( setunion @ A ) ) <=>
% 0.61/1.05 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))).
% 0.61/1.05 thf('6', plain,
% 0.61/1.05 (( setunionAx ) =
% 0.61/1.05 ( ![X4:$i,X6:$i]:
% 0.61/1.05 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.61/1.05 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )),
% 0.61/1.05 define([status(thm)])).
% 0.61/1.05 thf(powersetAx, axiom, powersetAx =
% 0.61/1.05 (![A:$i,B:$i]:
% 0.61/1.05 ( ( in @ B @ ( powerset @ A ) ) <=>
% 0.61/1.05 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))).
% 0.61/1.05 thf('7', plain,
% 0.61/1.05 (( powersetAx ) =
% 0.61/1.05 ( ![X4:$i,X6:$i]:
% 0.61/1.05 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.61/1.05 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )),
% 0.61/1.05 define([status(thm)])).
% 0.61/1.05 thf(subPowSU, conjecture,
% 0.61/1.05 (( setextAx ) =>
% 0.61/1.05 ( ( emptysetAx ) =>
% 0.61/1.05 ( ( setadjoinAx ) =>
% 0.61/1.05 ( ( powersetAx ) =>
% 0.61/1.05 ( ( setunionAx ) =>
% 0.61/1.05 ( ( omega0Ax ) =>
% 0.61/1.05 ( ( omegaSAx ) =>
% 0.61/1.05 ( ( omegaIndAx ) =>
% 0.61/1.05 ( ( replAx ) =>
% 0.61/1.05 ( ( foundationAx ) =>
% 0.61/1.05 ( ( wellorderingAx ) =>
% 0.61/1.05 ( ( descrp ) =>
% 0.61/1.05 ( ( dsetconstrI ) =>
% 0.61/1.05 ( ( dsetconstrEL ) =>
% 0.61/1.05 ( ( dsetconstrER ) =>
% 0.61/1.05 ( ( exuE1 ) =>
% 0.61/1.05 ( ( prop2setE ) =>
% 0.61/1.05 ( ( emptysetE ) =>
% 0.61/1.05 ( ( emptysetimpfalse ) =>
% 0.61/1.05 ( ( notinemptyset ) =>
% 0.61/1.05 ( ( exuE3e ) =>
% 0.61/1.05 ( ( setext ) =>
% 0.61/1.05 ( ( emptyI ) =>
% 0.61/1.05 ( ( noeltsimpempty ) =>
% 0.61/1.05 ( ( setbeta ) =>
% 0.61/1.05 ( ( nonemptyE1 ) =>
% 0.61/1.05 ( ( nonemptyI ) =>
% 0.61/1.05 ( ( nonemptyI1 ) =>
% 0.61/1.05 ( ( setadjoinIL ) =>
% 0.61/1.05 ( ( emptyinunitempty ) =>
% 0.61/1.05 ( ( setadjoinIR ) =>
% 0.61/1.05 ( ( setadjoinE ) =>
% 0.61/1.05 ( (
% 0.61/1.05 setadjoinOr ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 setoftrueEq ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 powersetI ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 emptyinPowerset ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 emptyInPowerset ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 powersetE ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 setunionI ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 setunionE ) =>
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 A:$i,Xx:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 Xx @ A ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 Xx @
% 0.61/1.05 (
% 0.61/1.05 powerset @
% 0.61/1.05 (
% 0.61/1.05 setunion @
% 0.61/1.05 A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.61/1.05 thf(zf_stmt_0, conjecture,
% 0.61/1.05 (( setextAx ) =>
% 0.61/1.05 ( ( emptysetAx ) =>
% 0.61/1.05 ( ( setadjoinAx ) =>
% 0.61/1.05 ( ( ![X4:$i,X6:$i]:
% 0.61/1.05 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.61/1.05 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) ) =>
% 0.61/1.05 ( ( ![X10:$i,X12:$i]:
% 0.61/1.05 ( ( in @ X12 @ ( setunion @ X10 ) ) <=>
% 0.61/1.05 ( ?[X14:$i]: ( ( in @ X12 @ X14 ) & ( in @ X14 @ X10 ) ) ) ) ) =>
% 0.61/1.05 ( ( omega0Ax ) =>
% 0.61/1.05 ( ( omegaSAx ) =>
% 0.61/1.05 ( ( omegaIndAx ) =>
% 0.61/1.05 ( ( replAx ) =>
% 0.61/1.05 ( ( foundationAx ) =>
% 0.61/1.05 ( ( wellorderingAx ) =>
% 0.61/1.05 ( ( descrp ) =>
% 0.61/1.05 ( ( dsetconstrI ) =>
% 0.61/1.05 ( ( dsetconstrEL ) =>
% 0.61/1.05 ( ( dsetconstrER ) =>
% 0.61/1.05 ( ( exuE1 ) =>
% 0.61/1.05 ( ( prop2setE ) =>
% 0.61/1.05 ( ( emptysetE ) =>
% 0.61/1.05 ( ( emptysetimpfalse ) =>
% 0.61/1.05 ( ( notinemptyset ) =>
% 0.61/1.05 ( ( exuE3e ) =>
% 0.61/1.05 ( ( setext ) =>
% 0.61/1.05 ( ( emptyI ) =>
% 0.61/1.05 ( ( noeltsimpempty ) =>
% 0.61/1.05 ( ( setbeta ) =>
% 0.61/1.05 ( ( nonemptyE1 ) =>
% 0.61/1.05 ( ( nonemptyI ) =>
% 0.61/1.05 ( ( nonemptyI1 ) =>
% 0.61/1.05 ( ( setadjoinIL ) =>
% 0.61/1.05 ( ( emptyinunitempty ) =>
% 0.61/1.05 ( ( setadjoinIR ) =>
% 0.61/1.05 ( ( setadjoinE ) =>
% 0.61/1.05 ( (
% 0.61/1.05 setadjoinOr ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 setoftrueEq ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X16:$i,
% 0.61/1.05 X18:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X20:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X20 @ X18 ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X20 @ X16 ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X18 @
% 0.61/1.05 (
% 0.61/1.05 powerset @
% 0.61/1.05 X16 ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X22:$i]:
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 emptyset @
% 0.61/1.05 (
% 0.61/1.05 powerset @
% 0.61/1.05 X22 ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X24:$i]:
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 emptyset @
% 0.61/1.05 (
% 0.61/1.05 powerset @
% 0.61/1.05 X24 ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X26:$i,
% 0.61/1.05 X28:$i,
% 0.61/1.05 X30:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X28 @
% 0.61/1.05 (
% 0.61/1.05 powerset @
% 0.61/1.05 X26 ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X30 @ X28 ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X30 @ X26 ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X32:$i,
% 0.61/1.05 X34:$i,
% 0.61/1.05 X36:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X34 @ X36 ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X36 @ X32 ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X34 @
% 0.61/1.05 (
% 0.61/1.05 setunion @
% 0.61/1.05 X32 ) ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X38:$i,
% 0.61/1.05 X40:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X40 @
% 0.61/1.05 (
% 0.61/1.05 setunion @
% 0.61/1.05 X38 ) ) =>
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X42:$o]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X44:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X40 @ X44 ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X44 @ X38 ) =>
% 0.61/1.05 (
% 0.61/1.05 X42 ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 X42 ) ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X46:$i,
% 0.61/1.05 X48:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X48 @ X46 ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X48 @
% 0.61/1.05 (
% 0.61/1.05 powerset @
% 0.61/1.05 (
% 0.61/1.05 setunion @
% 0.61/1.05 X46 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.61/1.05 thf(zf_stmt_1, type, zip_tseitin_1 : $i > $i > $i > $o).
% 0.61/1.05 thf(zf_stmt_2, axiom,
% 0.61/1.05 (![X14:$i,X12:$i,X10:$i]:
% 0.61/1.05 ( ( zip_tseitin_1 @ X14 @ X12 @ X10 ) <=>
% 0.61/1.05 ( ( in @ X14 @ X10 ) & ( in @ X12 @ X14 ) ) ))).
% 0.61/1.05 thf(zf_stmt_3, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.61/1.05 thf(zf_stmt_4, axiom,
% 0.61/1.05 (![X8:$i,X6:$i,X4:$i]:
% 0.61/1.05 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=>
% 0.61/1.05 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ))).
% 0.61/1.05 thf(zf_stmt_5, conjecture,
% 0.61/1.05 (( setextAx ) =>
% 0.61/1.05 ( ( emptysetAx ) =>
% 0.61/1.05 ( ( setadjoinAx ) =>
% 0.61/1.05 ( ( ![X4:$i,X6:$i]:
% 0.61/1.05 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.61/1.05 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
% 0.61/1.05 ( ( ![X10:$i,X12:$i]:
% 0.61/1.05 ( ( in @ X12 @ ( setunion @ X10 ) ) <=>
% 0.61/1.05 ( ?[X14:$i]: ( zip_tseitin_1 @ X14 @ X12 @ X10 ) ) ) ) =>
% 0.61/1.05 ( ( omega0Ax ) =>
% 0.61/1.05 ( ( omegaSAx ) =>
% 0.61/1.05 ( ( omegaIndAx ) =>
% 0.61/1.05 ( ( replAx ) =>
% 0.61/1.05 ( ( foundationAx ) =>
% 0.61/1.05 ( ( wellorderingAx ) =>
% 0.61/1.05 ( ( descrp ) =>
% 0.61/1.05 ( ( dsetconstrI ) =>
% 0.61/1.05 ( ( dsetconstrEL ) =>
% 0.61/1.05 ( ( dsetconstrER ) =>
% 0.61/1.05 ( ( exuE1 ) =>
% 0.61/1.05 ( ( prop2setE ) =>
% 0.61/1.05 ( ( emptysetE ) =>
% 0.61/1.05 ( ( emptysetimpfalse ) =>
% 0.61/1.05 ( ( notinemptyset ) =>
% 0.61/1.05 ( ( exuE3e ) =>
% 0.61/1.05 ( ( setext ) =>
% 0.61/1.05 ( ( emptyI ) =>
% 0.61/1.05 ( ( noeltsimpempty ) =>
% 0.61/1.05 ( ( setbeta ) =>
% 0.61/1.05 ( ( nonemptyE1 ) =>
% 0.61/1.05 ( ( nonemptyI ) =>
% 0.61/1.05 ( ( nonemptyI1 ) =>
% 0.61/1.05 ( ( setadjoinIL ) =>
% 0.61/1.05 ( ( emptyinunitempty ) =>
% 0.61/1.05 ( ( setadjoinIR ) =>
% 0.61/1.05 ( ( setadjoinE ) =>
% 0.61/1.05 ( (
% 0.61/1.05 setadjoinOr ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 setoftrueEq ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X16:$i,
% 0.61/1.05 X18:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X20:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X20 @ X18 ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X20 @ X16 ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X18 @
% 0.61/1.05 (
% 0.61/1.05 powerset @
% 0.61/1.05 X16 ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X22:$i]:
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 emptyset @
% 0.61/1.05 (
% 0.61/1.05 powerset @
% 0.61/1.05 X22 ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X24:$i]:
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 emptyset @
% 0.61/1.05 (
% 0.61/1.05 powerset @
% 0.61/1.05 X24 ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X26:$i,
% 0.61/1.05 X28:$i,
% 0.61/1.05 X30:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X28 @
% 0.61/1.05 (
% 0.61/1.05 powerset @
% 0.61/1.05 X26 ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X30 @ X28 ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X30 @ X26 ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X32:$i,
% 0.61/1.05 X34:$i,
% 0.61/1.05 X36:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X34 @ X36 ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X36 @ X32 ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X34 @
% 0.61/1.05 (
% 0.61/1.05 setunion @
% 0.61/1.05 X32 ) ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X38:$i,
% 0.61/1.05 X40:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X40 @
% 0.61/1.05 (
% 0.61/1.05 setunion @
% 0.61/1.05 X38 ) ) =>
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X42:$o]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X44:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X40 @ X44 ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X44 @ X38 ) =>
% 0.61/1.05 (
% 0.61/1.05 X42 ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 X42 ) ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X46:$i,
% 0.61/1.05 X48:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X48 @ X46 ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X48 @
% 0.61/1.05 (
% 0.61/1.05 powerset @
% 0.61/1.05 (
% 0.61/1.05 setunion @
% 0.61/1.05 X46 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.61/1.05 thf(zf_stmt_6, negated_conjecture,
% 0.61/1.05 (~( ( setextAx ) =>
% 0.61/1.05 ( ( emptysetAx ) =>
% 0.61/1.05 ( ( setadjoinAx ) =>
% 0.61/1.05 ( ( ![X4:$i,X6:$i]:
% 0.61/1.05 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.61/1.05 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
% 0.61/1.05 ( ( ![X10:$i,X12:$i]:
% 0.61/1.05 ( ( in @ X12 @ ( setunion @ X10 ) ) <=>
% 0.61/1.05 ( ?[X14:$i]: ( zip_tseitin_1 @ X14 @ X12 @ X10 ) ) ) ) =>
% 0.61/1.05 ( ( omega0Ax ) =>
% 0.61/1.05 ( ( omegaSAx ) =>
% 0.61/1.05 ( ( omegaIndAx ) =>
% 0.61/1.05 ( ( replAx ) =>
% 0.61/1.05 ( ( foundationAx ) =>
% 0.61/1.05 ( ( wellorderingAx ) =>
% 0.61/1.05 ( ( descrp ) =>
% 0.61/1.05 ( ( dsetconstrI ) =>
% 0.61/1.05 ( ( dsetconstrEL ) =>
% 0.61/1.05 ( ( dsetconstrER ) =>
% 0.61/1.05 ( ( exuE1 ) =>
% 0.61/1.05 ( ( prop2setE ) =>
% 0.61/1.05 ( ( emptysetE ) =>
% 0.61/1.05 ( ( emptysetimpfalse ) =>
% 0.61/1.05 ( ( notinemptyset ) =>
% 0.61/1.05 ( ( exuE3e ) =>
% 0.61/1.05 ( ( setext ) =>
% 0.61/1.05 ( ( emptyI ) =>
% 0.61/1.05 ( ( noeltsimpempty ) =>
% 0.61/1.05 ( ( setbeta ) =>
% 0.61/1.05 ( ( nonemptyE1 ) =>
% 0.61/1.05 ( ( nonemptyI ) =>
% 0.61/1.05 ( ( nonemptyI1 ) =>
% 0.61/1.05 ( ( setadjoinIL ) =>
% 0.61/1.05 ( ( emptyinunitempty ) =>
% 0.61/1.05 ( ( setadjoinIR ) =>
% 0.61/1.05 ( (
% 0.61/1.05 setadjoinE ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 setadjoinOr ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 setoftrueEq ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X16:$i,
% 0.61/1.05 X18:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X20:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X20 @ X18 ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X20 @ X16 ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X18 @
% 0.61/1.05 (
% 0.61/1.05 powerset
% 0.61/1.05 @
% 0.61/1.05 X16 ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X22:$i]:
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 emptyset @
% 0.61/1.05 (
% 0.61/1.05 powerset
% 0.61/1.05 @
% 0.61/1.05 X22 ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X24:$i]:
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 emptyset @
% 0.61/1.05 (
% 0.61/1.05 powerset
% 0.61/1.05 @
% 0.61/1.05 X24 ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X26:$i,
% 0.61/1.05 X28:$i,
% 0.61/1.05 X30:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X28 @
% 0.61/1.05 (
% 0.61/1.05 powerset
% 0.61/1.05 @
% 0.61/1.05 X26 ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X30 @ X28 ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X30 @ X26 ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X32:$i,
% 0.61/1.05 X34:$i,
% 0.61/1.05 X36:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X34 @ X36 ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X36 @ X32 ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X34 @
% 0.61/1.05 (
% 0.61/1.05 setunion
% 0.61/1.05 @
% 0.61/1.05 X32 ) ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X38:$i,
% 0.61/1.05 X40:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X40 @
% 0.61/1.05 (
% 0.61/1.05 setunion
% 0.61/1.05 @
% 0.61/1.05 X38 ) ) =>
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X42:$o]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X44:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X40 @ X44 ) =>
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X44 @ X38 ) =>
% 0.61/1.05 (
% 0.61/1.05 X42 ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 X42 ) ) ) ) ) =>
% 0.61/1.05 (
% 0.61/1.05 ![
% 0.61/1.05 X46:$i,
% 0.61/1.05 X48:$i]:
% 0.61/1.05 (
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X48 @ X46 ) =>
% 0.61/1.05 (
% 0.61/1.05 in @
% 0.61/1.05 X48 @
% 0.61/1.05 (
% 0.61/1.05 powerset
% 0.61/1.05 @
% 0.61/1.05 (
% 0.61/1.05 setunion
% 0.61/1.05 @
% 0.61/1.05 X46 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 0.61/1.05 inference('cnf.neg', [status(esa)], [zf_stmt_5])).
% 0.61/1.05 thf(zip_derived_cl28, plain,
% 0.61/1.05 (~ (in @ sk__26 @ (powerset @ (setunion @ sk__25)))),
% 0.61/1.05 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.61/1.05 thf(zip_derived_cl24, plain,
% 0.61/1.05 (![X4 : $i, X5 : $i]:
% 0.61/1.05 ( (in @ X4 @ (powerset @ X5)) | ~ (in @ (sk__27 @ X4 @ X5) @ X5))),
% 0.61/1.05 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.61/1.05 thf(zip_derived_cl29, plain, ( (in @ sk__26 @ sk__25)),
% 0.61/1.05 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.61/1.05 thf(zip_derived_cl25, plain,
% 0.61/1.05 (![X4 : $i, X5 : $i]:
% 0.61/1.05 ( (in @ X4 @ (powerset @ X5)) | (in @ (sk__27 @ X4 @ X5) @ X4))),
% 0.61/1.05 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.61/1.05 thf(zip_derived_cl27, plain,
% 0.61/1.05 (![X7 : $i, X8 : $i, X9 : $i]:
% 0.61/1.05 ( (in @ X7 @ (setunion @ X8)) | ~ (in @ X7 @ X9) | ~ (in @ X9 @ X8))),
% 0.61/1.05 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.61/1.05 thf(zip_derived_cl59, plain,
% 0.61/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.05 ( (in @ X0 @ (powerset @ X1))
% 0.61/1.05 | ~ (in @ X0 @ X2)
% 0.61/1.05 | (in @ (sk__27 @ X0 @ X1) @ (setunion @ X2)))),
% 0.61/1.05 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl27])).
% 0.61/1.05 thf(zip_derived_cl342, plain,
% 0.61/1.05 (![X0 : $i]:
% 0.61/1.05 ( (in @ (sk__27 @ sk__26 @ X0) @ (setunion @ sk__25))
% 0.61/1.05 | (in @ sk__26 @ (powerset @ X0)))),
% 0.61/1.05 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl59])).
% 0.61/1.05 thf(zip_derived_cl408, plain,
% 0.61/1.05 (( (in @ sk__26 @ (powerset @ (setunion @ sk__25)))
% 0.61/1.05 | (in @ sk__26 @ (powerset @ (setunion @ sk__25))))),
% 0.61/1.05 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl342])).
% 0.61/1.05 thf(zip_derived_cl413, plain,
% 0.61/1.05 ( (in @ sk__26 @ (powerset @ (setunion @ sk__25)))),
% 0.61/1.05 inference('simplify', [status(thm)], [zip_derived_cl408])).
% 0.61/1.05 thf(zip_derived_cl417, plain, ($false),
% 0.61/1.05 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl413])).
% 0.61/1.05
% 0.61/1.05 % SZS output end Refutation
% 0.61/1.05
% 0.61/1.05
% 0.61/1.05 % Terminating...
% 3.35/1.12 % Runner terminated.
% 3.35/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------