%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU523^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aVh0XMENfu 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 04:54:54 PM UTC 2025
% Result : Theorem 0.51s 0.78s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU523^1 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aVh0XMENfu true
% 0.14/0.35 % Computer : n011.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 16:01:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.48/0.63 % Total configuration time : 828
% 0.48/0.63 % Estimated wc time : 1656
% 0.48/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.78 % Solved by lams/40_c_ic.sh.
% 0.51/0.78 % done 54 iterations in 0.038s
% 0.51/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.78 % SZS output start Refutation
% 0.51/0.78 thf(setadjoinAx_type, type, setadjoinAx: $o).
% 0.51/0.78 thf(setunionAx_type, type, setunionAx: $o).
% 0.51/0.78 thf(emptyinunitempty_type, type, emptyinunitempty: $o).
% 0.51/0.78 thf(emptyInPowerset_type, type, emptyInPowerset: $o).
% 0.51/0.78 thf(omegaSAx_type, type, omegaSAx: $o).
% 0.51/0.78 thf(nonemptyI1_type, type, nonemptyI1: $o).
% 0.51/0.78 thf(wellorderingAx_type, type, wellorderingAx: $o).
% 0.51/0.78 thf(emptysetE_type, type, emptysetE: $o).
% 0.51/0.78 thf(nonemptyE1_type, type, nonemptyE1: $o).
% 0.51/0.78 thf(setadjoinIR_type, type, setadjoinIR: $o).
% 0.51/0.78 thf(in_type, type, in: $i > $i > $o).
% 0.51/0.78 thf(setoftrueEq_type, type, setoftrueEq: $o).
% 0.51/0.78 thf(sk__7_type, type, sk__7: $i).
% 0.51/0.78 thf(emptyI_type, type, emptyI: $o).
% 0.51/0.78 thf(dsetconstrEL_type, type, dsetconstrEL: $o).
% 0.51/0.78 thf(powersetAx_type, type, powersetAx: $o).
% 0.51/0.78 thf(setadjoinOr_type, type, setadjoinOr: $o).
% 0.51/0.78 thf(notinemptyset_type, type, notinemptyset: $o).
% 0.51/0.78 thf(sk__10_type, type, sk__10: $i > $i > $i).
% 0.51/0.78 thf(setext_type, type, setext: $o).
% 0.51/0.78 thf(setbeta_type, type, setbeta: $o).
% 0.51/0.78 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o).
% 0.51/0.78 thf(sk__8_type, type, sk__8: $i).
% 0.51/0.78 thf(setadjoinIL_type, type, setadjoinIL: $o).
% 0.51/0.78 thf(exuE1_type, type, exuE1: $o).
% 0.51/0.78 thf(nonemptyI_type, type, nonemptyI: $o).
% 0.51/0.78 thf(omega0Ax_type, type, omega0Ax: $o).
% 0.51/0.78 thf(powersetI_type, type, powersetI: $o).
% 0.51/0.78 thf(prop2setE_type, type, prop2setE: $o).
% 0.51/0.78 thf(setextAx_type, type, setextAx: $o).
% 0.51/0.78 thf(setunion_type, type, setunion: $i > $i).
% 0.51/0.78 thf(descrp_type, type, descrp: $o).
% 0.51/0.78 thf(foundationAx_type, type, foundationAx: $o).
% 0.51/0.78 thf(emptysetAx_type, type, emptysetAx: $o).
% 0.51/0.78 thf(sk__9_type, type, sk__9: $o).
% 0.51/0.78 thf(emptyinPowerset_type, type, emptyinPowerset: $o).
% 0.51/0.78 thf(dsetconstrER_type, type, dsetconstrER: $o).
% 0.51/0.78 thf(powersetE_type, type, powersetE: $o).
% 0.51/0.78 thf(noeltsimpempty_type, type, noeltsimpempty: $o).
% 0.51/0.78 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.51/0.78 thf(setunionI_type, type, setunionI: $o).
% 0.51/0.78 thf(exuE3e_type, type, exuE3e: $o).
% 0.51/0.78 thf(dsetconstrI_type, type, dsetconstrI: $o).
% 0.51/0.78 thf(setadjoinE_type, type, setadjoinE: $o).
% 0.51/0.78 thf(replAx_type, type, replAx: $o).
% 0.51/0.78 thf(omegaIndAx_type, type, omegaIndAx: $o).
% 0.51/0.78 thf(setunionI, axiom, setunionI =
% 0.51/0.78 (![A:$i,Xx:$i,B:$i]:
% 0.51/0.78 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))).
% 0.51/0.78 thf('0', plain,
% 0.51/0.78 (( setunionI ) =
% 0.51/0.78 ( ![X4:$i,X6:$i,X8:$i]:
% 0.51/0.78 ( ( in @ X6 @ X8 ) =>
% 0.51/0.78 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )),
% 0.51/0.78 define([status(thm)])).
% 0.51/0.78 thf(setunionAx, axiom, setunionAx =
% 0.51/0.78 (![A:$i,Xx:$i]:
% 0.51/0.78 ( ( in @ Xx @ ( setunion @ A ) ) <=>
% 0.51/0.78 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))).
% 0.51/0.78 thf('1', plain,
% 0.51/0.78 (( setunionAx ) =
% 0.51/0.78 ( ![X4:$i,X6:$i]:
% 0.51/0.78 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.51/0.78 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )),
% 0.51/0.78 define([status(thm)])).
% 0.51/0.78 thf(setunionE, conjecture,
% 0.51/0.78 (( setextAx ) =>
% 0.51/0.78 ( ( emptysetAx ) =>
% 0.51/0.78 ( ( setadjoinAx ) =>
% 0.51/0.78 ( ( powersetAx ) =>
% 0.51/0.78 ( ( setunionAx ) =>
% 0.51/0.78 ( ( omega0Ax ) =>
% 0.51/0.78 ( ( omegaSAx ) =>
% 0.51/0.78 ( ( omegaIndAx ) =>
% 0.51/0.78 ( ( replAx ) =>
% 0.51/0.78 ( ( foundationAx ) =>
% 0.51/0.78 ( ( wellorderingAx ) =>
% 0.51/0.78 ( ( descrp ) =>
% 0.51/0.78 ( ( dsetconstrI ) =>
% 0.51/0.78 ( ( dsetconstrEL ) =>
% 0.51/0.78 ( ( dsetconstrER ) =>
% 0.51/0.78 ( ( exuE1 ) =>
% 0.51/0.78 ( ( prop2setE ) =>
% 0.51/0.78 ( ( emptysetE ) =>
% 0.51/0.78 ( ( emptysetimpfalse ) =>
% 0.51/0.78 ( ( notinemptyset ) =>
% 0.51/0.78 ( ( exuE3e ) =>
% 0.51/0.78 ( ( setext ) =>
% 0.51/0.78 ( ( emptyI ) =>
% 0.51/0.78 ( ( noeltsimpempty ) =>
% 0.51/0.78 ( ( setbeta ) =>
% 0.51/0.78 ( ( nonemptyE1 ) =>
% 0.51/0.78 ( ( nonemptyI ) =>
% 0.51/0.78 ( ( nonemptyI1 ) =>
% 0.51/0.78 ( ( setadjoinIL ) =>
% 0.51/0.78 ( ( emptyinunitempty ) =>
% 0.51/0.78 ( ( setadjoinIR ) =>
% 0.51/0.78 ( ( setadjoinE ) =>
% 0.51/0.78 ( (
% 0.51/0.78 setadjoinOr ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 setoftrueEq ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 powersetI ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 emptyinPowerset ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 emptyInPowerset ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 powersetE ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 setunionI ) =>
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 A:$i,Xx:$i]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 Xx @
% 0.51/0.78 (
% 0.51/0.78 setunion @
% 0.51/0.78 A ) ) =>
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 Xphi:$o]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 B:$i]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 Xx @ B ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @ B @ A ) =>
% 0.51/0.78 (
% 0.51/0.78 Xphi ) ) ) ) =>
% 0.51/0.78 (
% 0.51/0.78 Xphi ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.51/0.78 thf(zf_stmt_0, conjecture,
% 0.51/0.78 (( setextAx ) =>
% 0.51/0.78 ( ( emptysetAx ) =>
% 0.51/0.78 ( ( setadjoinAx ) =>
% 0.51/0.78 ( ( powersetAx ) =>
% 0.51/0.78 ( ( ![X4:$i,X6:$i]:
% 0.51/0.78 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.51/0.78 ( ?[X8:$i]: ( ( in @ X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) ) =>
% 0.51/0.78 ( ( omega0Ax ) =>
% 0.51/0.78 ( ( omegaSAx ) =>
% 0.51/0.78 ( ( omegaIndAx ) =>
% 0.51/0.78 ( ( replAx ) =>
% 0.51/0.78 ( ( foundationAx ) =>
% 0.51/0.78 ( ( wellorderingAx ) =>
% 0.51/0.78 ( ( descrp ) =>
% 0.51/0.78 ( ( dsetconstrI ) =>
% 0.51/0.78 ( ( dsetconstrEL ) =>
% 0.51/0.78 ( ( dsetconstrER ) =>
% 0.51/0.78 ( ( exuE1 ) =>
% 0.51/0.78 ( ( prop2setE ) =>
% 0.51/0.78 ( ( emptysetE ) =>
% 0.51/0.78 ( ( emptysetimpfalse ) =>
% 0.51/0.78 ( ( notinemptyset ) =>
% 0.51/0.78 ( ( exuE3e ) =>
% 0.51/0.78 ( ( setext ) =>
% 0.51/0.78 ( ( emptyI ) =>
% 0.51/0.78 ( ( noeltsimpempty ) =>
% 0.51/0.78 ( ( setbeta ) =>
% 0.51/0.78 ( ( nonemptyE1 ) =>
% 0.51/0.78 ( ( nonemptyI ) =>
% 0.51/0.78 ( ( nonemptyI1 ) =>
% 0.51/0.78 ( ( setadjoinIL ) =>
% 0.51/0.78 ( ( emptyinunitempty ) =>
% 0.51/0.78 ( ( setadjoinIR ) =>
% 0.51/0.78 ( ( setadjoinE ) =>
% 0.51/0.78 ( (
% 0.51/0.78 setadjoinOr ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 setoftrueEq ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 powersetI ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 emptyinPowerset ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 emptyInPowerset ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 powersetE ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 X10:$i,
% 0.51/0.78 X12:$i,
% 0.51/0.78 X14:$i]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X12 @ X14 ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X14 @ X10 ) =>
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X12 @
% 0.51/0.78 (
% 0.51/0.78 setunion @
% 0.51/0.78 X10 ) ) ) ) ) =>
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 X16:$i,
% 0.51/0.78 X18:$i]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X18 @
% 0.51/0.78 (
% 0.51/0.78 setunion @
% 0.51/0.78 X16 ) ) =>
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 X20:$o]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 X22:$i]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X18 @ X22 ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X22 @ X16 ) =>
% 0.51/0.78 (
% 0.51/0.78 X20 ) ) ) ) =>
% 0.51/0.78 (
% 0.51/0.78 X20 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.51/0.78 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.51/0.78 thf(zf_stmt_2, axiom,
% 0.51/0.78 (![X8:$i,X6:$i,X4:$i]:
% 0.51/0.78 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=>
% 0.51/0.78 ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ))).
% 0.51/0.78 thf(zf_stmt_3, conjecture,
% 0.51/0.78 (( setextAx ) =>
% 0.51/0.78 ( ( emptysetAx ) =>
% 0.51/0.78 ( ( setadjoinAx ) =>
% 0.51/0.78 ( ( powersetAx ) =>
% 0.51/0.78 ( ( ![X4:$i,X6:$i]:
% 0.51/0.78 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.51/0.78 ( ?[X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
% 0.51/0.78 ( ( omega0Ax ) =>
% 0.51/0.78 ( ( omegaSAx ) =>
% 0.51/0.78 ( ( omegaIndAx ) =>
% 0.51/0.78 ( ( replAx ) =>
% 0.51/0.78 ( ( foundationAx ) =>
% 0.51/0.78 ( ( wellorderingAx ) =>
% 0.51/0.78 ( ( descrp ) =>
% 0.51/0.78 ( ( dsetconstrI ) =>
% 0.51/0.78 ( ( dsetconstrEL ) =>
% 0.51/0.78 ( ( dsetconstrER ) =>
% 0.51/0.78 ( ( exuE1 ) =>
% 0.51/0.78 ( ( prop2setE ) =>
% 0.51/0.78 ( ( emptysetE ) =>
% 0.51/0.78 ( ( emptysetimpfalse ) =>
% 0.51/0.78 ( ( notinemptyset ) =>
% 0.51/0.78 ( ( exuE3e ) =>
% 0.51/0.78 ( ( setext ) =>
% 0.51/0.78 ( ( emptyI ) =>
% 0.51/0.78 ( ( noeltsimpempty ) =>
% 0.51/0.78 ( ( setbeta ) =>
% 0.51/0.78 ( ( nonemptyE1 ) =>
% 0.51/0.78 ( ( nonemptyI ) =>
% 0.51/0.78 ( ( nonemptyI1 ) =>
% 0.51/0.78 ( ( setadjoinIL ) =>
% 0.51/0.78 ( ( emptyinunitempty ) =>
% 0.51/0.78 ( ( setadjoinIR ) =>
% 0.51/0.78 ( ( setadjoinE ) =>
% 0.51/0.78 ( (
% 0.51/0.78 setadjoinOr ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 setoftrueEq ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 powersetI ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 emptyinPowerset ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 emptyInPowerset ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 powersetE ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 X10:$i,
% 0.51/0.78 X12:$i,
% 0.51/0.78 X14:$i]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X12 @ X14 ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X14 @ X10 ) =>
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X12 @
% 0.51/0.78 (
% 0.51/0.78 setunion @
% 0.51/0.78 X10 ) ) ) ) ) =>
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 X16:$i,
% 0.51/0.78 X18:$i]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X18 @
% 0.51/0.78 (
% 0.51/0.78 setunion @
% 0.51/0.78 X16 ) ) =>
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 X20:$o]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 X22:$i]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X18 @ X22 ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X22 @ X16 ) =>
% 0.51/0.78 (
% 0.51/0.78 X20 ) ) ) ) =>
% 0.51/0.78 (
% 0.51/0.78 X20 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.51/0.78 thf(zf_stmt_4, negated_conjecture,
% 0.51/0.78 (~( ( setextAx ) =>
% 0.51/0.78 ( ( emptysetAx ) =>
% 0.51/0.78 ( ( setadjoinAx ) =>
% 0.51/0.78 ( ( powersetAx ) =>
% 0.51/0.78 ( ( ![X4:$i,X6:$i]:
% 0.51/0.78 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.51/0.78 ( ?[X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
% 0.51/0.78 ( ( omega0Ax ) =>
% 0.51/0.78 ( ( omegaSAx ) =>
% 0.51/0.78 ( ( omegaIndAx ) =>
% 0.51/0.78 ( ( replAx ) =>
% 0.51/0.78 ( ( foundationAx ) =>
% 0.51/0.78 ( ( wellorderingAx ) =>
% 0.51/0.78 ( ( descrp ) =>
% 0.51/0.78 ( ( dsetconstrI ) =>
% 0.51/0.78 ( ( dsetconstrEL ) =>
% 0.51/0.78 ( ( dsetconstrER ) =>
% 0.51/0.78 ( ( exuE1 ) =>
% 0.51/0.78 ( ( prop2setE ) =>
% 0.51/0.78 ( ( emptysetE ) =>
% 0.51/0.78 ( ( emptysetimpfalse ) =>
% 0.51/0.78 ( ( notinemptyset ) =>
% 0.51/0.78 ( ( exuE3e ) =>
% 0.51/0.78 ( ( setext ) =>
% 0.51/0.78 ( ( emptyI ) =>
% 0.51/0.78 ( ( noeltsimpempty ) =>
% 0.51/0.78 ( ( setbeta ) =>
% 0.51/0.78 ( ( nonemptyE1 ) =>
% 0.51/0.78 ( ( nonemptyI ) =>
% 0.51/0.78 ( ( nonemptyI1 ) =>
% 0.51/0.78 ( ( setadjoinIL ) =>
% 0.51/0.78 ( ( emptyinunitempty ) =>
% 0.51/0.78 ( ( setadjoinIR ) =>
% 0.51/0.78 ( (
% 0.51/0.78 setadjoinE ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 setadjoinOr ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 setoftrueEq ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 powersetI ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 emptyinPowerset ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 emptyInPowerset ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 powersetE ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 X10:$i,
% 0.51/0.78 X12:$i,
% 0.51/0.78 X14:$i]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X12 @ X14 ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X14 @ X10 ) =>
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X12 @
% 0.51/0.78 (
% 0.51/0.78 setunion
% 0.51/0.78 @
% 0.51/0.78 X10 ) ) ) ) ) =>
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 X16:$i,
% 0.51/0.78 X18:$i]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X18 @
% 0.51/0.78 (
% 0.51/0.78 setunion
% 0.51/0.78 @
% 0.51/0.78 X16 ) ) =>
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 X20:$o]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 ![
% 0.51/0.78 X22:$i]:
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X18 @ X22 ) =>
% 0.51/0.78 (
% 0.51/0.78 (
% 0.51/0.78 in @
% 0.51/0.78 X22 @ X16 ) =>
% 0.51/0.78 (
% 0.51/0.78 X20 ) ) ) ) =>
% 0.51/0.78 (
% 0.51/0.78 X20 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [zf_stmt_3])).
% 0.51/0.78 thf(zip_derived_cl6, plain,
% 0.51/0.78 (![X1 : $i, X3 : $i]:
% 0.51/0.78 ( (zip_tseitin_0 @ (sk__10 @ X3 @ X1) @ X3 @ X1)
% 0.51/0.78 | ~ (in @ X3 @ (setunion @ X1)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.78 thf(zip_derived_cl0, plain,
% 0.51/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.78 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X2 @ X1))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.51/0.78 thf(zip_derived_cl47, plain,
% 0.51/0.78 (![X0 : $i, X1 : $i]:
% 0.51/0.78 (~ (in @ X1 @ (setunion @ X0)) | (in @ (sk__10 @ X1 @ X0) @ X0))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 0.51/0.78 thf(zip_derived_cl6, plain,
% 0.51/0.78 (![X1 : $i, X3 : $i]:
% 0.51/0.78 ( (zip_tseitin_0 @ (sk__10 @ X3 @ X1) @ X3 @ X1)
% 0.51/0.78 | ~ (in @ X3 @ (setunion @ X1)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.78 thf(zip_derived_cl1, plain,
% 0.51/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.78 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X1 @ X0 @ X2))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.51/0.78 thf(zip_derived_cl46, plain,
% 0.51/0.78 (![X0 : $i, X1 : $i]:
% 0.51/0.78 (~ (in @ X1 @ (setunion @ X0)) | (in @ X1 @ (sk__10 @ X1 @ X0)))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.51/0.78 thf(zip_derived_cl24, plain,
% 0.51/0.78 (![X7 : $i]: ( (sk__9) | ~ (in @ sk__8 @ X7) | ~ (in @ X7 @ sk__7))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.78 thf(zip_derived_cl25, plain, (~ (sk__9)),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.78 thf(zip_derived_cl50, plain,
% 0.51/0.78 (![X7 : $i]: (~ (in @ sk__8 @ X7) | ~ (in @ X7 @ sk__7))),
% 0.51/0.78 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl25])).
% 0.51/0.78 thf(zip_derived_cl65, plain,
% 0.51/0.78 (![X0 : $i]:
% 0.51/0.78 (~ (in @ sk__8 @ (setunion @ X0))
% 0.51/0.78 | ~ (in @ (sk__10 @ sk__8 @ X0) @ sk__7))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl50])).
% 0.51/0.78 thf(zip_derived_cl73, plain,
% 0.51/0.78 ((~ (in @ sk__8 @ (setunion @ sk__7))
% 0.51/0.78 | ~ (in @ sk__8 @ (setunion @ sk__7)))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl65])).
% 0.51/0.78 thf(zip_derived_cl26, plain, ( (in @ sk__8 @ (setunion @ sk__7))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.78 thf(zip_derived_cl26, plain, ( (in @ sk__8 @ (setunion @ sk__7))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.78 thf(zip_derived_cl77, plain, ($false),
% 0.51/0.78 inference('demod', [status(thm)],
% 0.51/0.78 [zip_derived_cl73, zip_derived_cl26, zip_derived_cl26])).
% 0.51/0.78
% 0.51/0.78 % SZS output end Refutation
% 0.51/0.78
% 0.51/0.78
% 0.51/0.78 % Terminating...
% 1.56/0.86 % Runner terminated.
% 1.58/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------