%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU516^1 : 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.tg8dlLT2Yf true
% Computer : n018.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 04:54:52 PM UTC 2025
% Result : Theorem 0.50s 0.76s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU516^1 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tg8dlLT2Yf true
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:03:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.49/0.63 % Total configuration time : 828
% 0.49/0.63 % Estimated wc time : 1656
% 0.49/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.76 % Solved by lams/40_c_ic.sh.
% 0.50/0.76 % done 50 iterations in 0.024s
% 0.50/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.76 % SZS output start Refutation
% 0.50/0.76 thf(setadjoinAx_type, type, setadjoinAx: $o).
% 0.50/0.76 thf(setunionAx_type, type, setunionAx: $o).
% 0.50/0.76 thf(emptyinunitempty_type, type, emptyinunitempty: $o).
% 0.50/0.76 thf(omegaSAx_type, type, omegaSAx: $o).
% 0.50/0.76 thf(nonemptyI1_type, type, nonemptyI1: $o).
% 0.50/0.76 thf(wellorderingAx_type, type, wellorderingAx: $o).
% 0.50/0.76 thf(emptysetE_type, type, emptysetE: $o).
% 0.50/0.76 thf(sk__14_type, type, sk__14: $i).
% 0.50/0.76 thf(nonemptyE1_type, type, nonemptyE1: $o).
% 0.50/0.76 thf(setadjoinIR_type, type, setadjoinIR: $o).
% 0.50/0.76 thf(in_type, type, in: $i > $i > $o).
% 0.50/0.76 thf(emptyI_type, type, emptyI: $o).
% 0.50/0.76 thf(dsetconstrEL_type, type, dsetconstrEL: $o).
% 0.50/0.76 thf(sk__13_type, type, sk__13: $i).
% 0.50/0.76 thf(powersetAx_type, type, powersetAx: $o).
% 0.50/0.76 thf(notinemptyset_type, type, notinemptyset: $o).
% 0.50/0.76 thf(emptyset_type, type, emptyset: $i).
% 0.50/0.76 thf(setext_type, type, setext: $o).
% 0.50/0.76 thf(setbeta_type, type, setbeta: $o).
% 0.50/0.76 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o).
% 0.50/0.76 thf(setadjoinIL_type, type, setadjoinIL: $o).
% 0.50/0.76 thf(exuE1_type, type, exuE1: $o).
% 0.50/0.76 thf(nonemptyI_type, type, nonemptyI: $o).
% 0.50/0.76 thf(omega0Ax_type, type, omega0Ax: $o).
% 0.50/0.76 thf(prop2setE_type, type, prop2setE: $o).
% 0.50/0.76 thf(setextAx_type, type, setextAx: $o).
% 0.50/0.76 thf(descrp_type, type, descrp: $o).
% 0.50/0.76 thf(foundationAx_type, type, foundationAx: $o).
% 0.50/0.76 thf(emptysetAx_type, type, emptysetAx: $o).
% 0.50/0.76 thf(dsetconstrER_type, type, dsetconstrER: $o).
% 0.50/0.76 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.50/0.76 thf(noeltsimpempty_type, type, noeltsimpempty: $o).
% 0.50/0.76 thf(sk__12_type, type, sk__12: $i).
% 0.50/0.76 thf(exuE3e_type, type, exuE3e: $o).
% 0.50/0.76 thf(dsetconstrI_type, type, dsetconstrI: $o).
% 0.50/0.76 thf(setadjoinE_type, type, setadjoinE: $o).
% 0.50/0.76 thf(setadjoin_type, type, setadjoin: $i > $i > $i).
% 0.50/0.76 thf(replAx_type, type, replAx: $o).
% 0.50/0.76 thf(omegaIndAx_type, type, omegaIndAx: $o).
% 0.50/0.76 thf(setadjoinE, axiom, setadjoinE =
% 0.50/0.76 (![Xx:$i,A:$i,Xy:$i]:
% 0.50/0.76 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) =>
% 0.50/0.76 ( ![Xphi:$o]:
% 0.50/0.76 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) =>
% 0.50/0.76 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))).
% 0.50/0.76 thf('0', plain,
% 0.50/0.76 (( setadjoinE ) =
% 0.50/0.76 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/0.76 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) =>
% 0.50/0.76 ( ![X10:$o]:
% 0.50/0.76 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) =>
% 0.50/0.76 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )),
% 0.50/0.76 define([status(thm)])).
% 0.50/0.76 thf(setadjoinIR, axiom, setadjoinIR =
% 0.50/0.76 (![Xx:$i,A:$i,Xy:$i]:
% 0.50/0.76 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))).
% 0.50/0.76 thf('1', plain,
% 0.50/0.76 (( setadjoinIR ) =
% 0.50/0.76 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/0.76 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )),
% 0.50/0.76 define([status(thm)])).
% 0.50/0.76 thf(emptyinunitempty, axiom,(( emptyinunitempty ) =
% 0.50/0.76 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))).
% 0.50/0.76 thf('2', plain,
% 0.50/0.76 (( emptyinunitempty ) =
% 0.50/0.76 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )),
% 0.50/0.76 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])).
% 0.50/0.76 thf('3', plain,
% 0.50/0.76 (( emptyinunitempty ) =
% 0.50/0.76 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )),
% 0.50/0.76 define([status(thm)])).
% 0.50/0.76 thf(setadjoinIL, axiom, setadjoinIL =
% 0.50/0.76 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))).
% 0.50/0.76 thf('4', plain,
% 0.50/0.76 (( setadjoinIL ) =
% 0.50/0.76 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )),
% 0.50/0.76 define([status(thm)])).
% 0.50/0.76 thf(setadjoinAx, axiom, setadjoinAx =
% 0.50/0.76 (![Xx:$i,A:$i,Xy:$i]:
% 0.50/0.76 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=>
% 0.50/0.76 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))).
% 0.50/0.76 thf('5', plain,
% 0.50/0.76 (( setadjoinAx ) =
% 0.50/0.76 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/0.76 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=>
% 0.50/0.76 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )),
% 0.50/0.76 define([status(thm)])).
% 0.50/0.76 thf(setadjoinOr, conjecture,
% 0.50/0.76 (( setextAx ) =>
% 0.50/0.76 ( ( emptysetAx ) =>
% 0.50/0.76 ( ( setadjoinAx ) =>
% 0.50/0.76 ( ( powersetAx ) =>
% 0.50/0.76 ( ( setunionAx ) =>
% 0.50/0.76 ( ( omega0Ax ) =>
% 0.50/0.76 ( ( omegaSAx ) =>
% 0.50/0.76 ( ( omegaIndAx ) =>
% 0.50/0.76 ( ( replAx ) =>
% 0.50/0.76 ( ( foundationAx ) =>
% 0.50/0.76 ( ( wellorderingAx ) =>
% 0.50/0.76 ( ( descrp ) =>
% 0.50/0.76 ( ( dsetconstrI ) =>
% 0.50/0.76 ( ( dsetconstrEL ) =>
% 0.50/0.76 ( ( dsetconstrER ) =>
% 0.50/0.76 ( ( exuE1 ) =>
% 0.50/0.76 ( ( prop2setE ) =>
% 0.50/0.76 ( ( emptysetE ) =>
% 0.50/0.76 ( ( emptysetimpfalse ) =>
% 0.50/0.76 ( ( notinemptyset ) =>
% 0.50/0.76 ( ( exuE3e ) =>
% 0.50/0.76 ( ( setext ) =>
% 0.50/0.76 ( ( emptyI ) =>
% 0.50/0.76 ( ( noeltsimpempty ) =>
% 0.50/0.76 ( ( setbeta ) =>
% 0.50/0.76 ( ( nonemptyE1 ) =>
% 0.50/0.76 ( ( nonemptyI ) =>
% 0.50/0.76 ( ( nonemptyI1 ) =>
% 0.50/0.76 ( ( setadjoinIL ) =>
% 0.50/0.76 ( ( emptyinunitempty ) =>
% 0.50/0.76 ( ( setadjoinIR ) =>
% 0.50/0.76 ( ( setadjoinE ) =>
% 0.50/0.76 ( ![
% 0.50/0.76 Xx:$i,
% 0.50/0.76 A:$i,Xy:$i]:
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 Xy @
% 0.50/0.76 (
% 0.50/0.76 setadjoin
% 0.50/0.76 @
% 0.50/0.76 Xx @ A ) ) =>
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 Xy ) =
% 0.50/0.76 (
% 0.50/0.76 Xx ) ) |
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 Xy @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.50/0.76 thf(zf_stmt_0, conjecture,
% 0.50/0.76 (( setextAx ) =>
% 0.50/0.76 ( ( emptysetAx ) =>
% 0.50/0.76 ( ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/0.76 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=>
% 0.50/0.76 ( ( in @ X8 @ X6 ) | ( ( X8 ) = ( X4 ) ) ) ) ) =>
% 0.50/0.76 ( ( powersetAx ) =>
% 0.50/0.76 ( ( setunionAx ) =>
% 0.50/0.76 ( ( omega0Ax ) =>
% 0.50/0.76 ( ( omegaSAx ) =>
% 0.50/0.76 ( ( omegaIndAx ) =>
% 0.50/0.76 ( ( replAx ) =>
% 0.50/0.76 ( ( foundationAx ) =>
% 0.50/0.76 ( ( wellorderingAx ) =>
% 0.50/0.76 ( ( descrp ) =>
% 0.50/0.76 ( ( dsetconstrI ) =>
% 0.50/0.76 ( ( dsetconstrEL ) =>
% 0.50/0.76 ( ( dsetconstrER ) =>
% 0.50/0.76 ( ( exuE1 ) =>
% 0.50/0.76 ( ( prop2setE ) =>
% 0.50/0.76 ( ( emptysetE ) =>
% 0.50/0.76 ( ( emptysetimpfalse ) =>
% 0.50/0.76 ( ( notinemptyset ) =>
% 0.50/0.76 ( ( exuE3e ) =>
% 0.50/0.76 ( ( setext ) =>
% 0.50/0.76 ( ( emptyI ) =>
% 0.50/0.76 ( ( noeltsimpempty ) =>
% 0.50/0.76 ( ( setbeta ) =>
% 0.50/0.76 ( ( nonemptyE1 ) =>
% 0.50/0.76 ( ( nonemptyI ) =>
% 0.50/0.76 ( ( nonemptyI1 ) =>
% 0.50/0.76 ( ( ![X10:$i,X12:$i]:
% 0.50/0.76 ( in @
% 0.50/0.76 X10 @
% 0.50/0.76 ( setadjoin @
% 0.50/0.76 X10 @ X12 ) ) ) =>
% 0.50/0.76 ( ( in @
% 0.50/0.76 emptyset @
% 0.50/0.76 ( setadjoin @
% 0.50/0.76 emptyset @
% 0.50/0.76 emptyset ) ) =>
% 0.50/0.76 ( ( ![X14:$i,
% 0.50/0.76 X16:$i,
% 0.50/0.76 X18:$i]:
% 0.50/0.76 ( (
% 0.50/0.76 in @
% 0.50/0.76 X18 @ X16 ) =>
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X18 @
% 0.50/0.76 (
% 0.50/0.76 setadjoin
% 0.50/0.76 @
% 0.50/0.76 X14 @ X16 ) ) ) ) =>
% 0.50/0.76 ( ( ![
% 0.50/0.76 X20:$i,
% 0.50/0.76 X22:$i,
% 0.50/0.76 X24:$i]:
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X24 @
% 0.50/0.76 (
% 0.50/0.76 setadjoin
% 0.50/0.76 @
% 0.50/0.76 X20 @ X22 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 ![
% 0.50/0.76 X26:$o]:
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 X24 ) =
% 0.50/0.76 (
% 0.50/0.76 X20 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 X26 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X24 @ X22 ) =>
% 0.50/0.76 (
% 0.50/0.76 X26 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 X26 ) ) ) ) ) ) =>
% 0.50/0.76 ( ![
% 0.50/0.76 X28:$i,
% 0.50/0.76 X30:$i,
% 0.50/0.76 X32:$i]:
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X32 @
% 0.50/0.76 (
% 0.50/0.76 setadjoin
% 0.50/0.76 @
% 0.50/0.76 X28 @ X30 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X32 @ X30 ) |
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 X32 ) =
% 0.50/0.76 (
% 0.50/0.76 X28 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.50/0.76 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.50/0.76 thf(zf_stmt_2, axiom,
% 0.50/0.76 (![X8:$i,X6:$i,X4:$i]:
% 0.50/0.76 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=>
% 0.50/0.76 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ))).
% 0.50/0.76 thf(zf_stmt_3, conjecture,
% 0.50/0.76 (( setextAx ) =>
% 0.50/0.76 ( ( emptysetAx ) =>
% 0.50/0.76 ( ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/0.76 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=>
% 0.50/0.76 ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) =>
% 0.50/0.76 ( ( powersetAx ) =>
% 0.50/0.76 ( ( setunionAx ) =>
% 0.50/0.76 ( ( omega0Ax ) =>
% 0.50/0.76 ( ( omegaSAx ) =>
% 0.50/0.76 ( ( omegaIndAx ) =>
% 0.50/0.76 ( ( replAx ) =>
% 0.50/0.76 ( ( foundationAx ) =>
% 0.50/0.76 ( ( wellorderingAx ) =>
% 0.50/0.76 ( ( descrp ) =>
% 0.50/0.76 ( ( dsetconstrI ) =>
% 0.50/0.76 ( ( dsetconstrEL ) =>
% 0.50/0.76 ( ( dsetconstrER ) =>
% 0.50/0.76 ( ( exuE1 ) =>
% 0.50/0.76 ( ( prop2setE ) =>
% 0.50/0.76 ( ( emptysetE ) =>
% 0.50/0.76 ( ( emptysetimpfalse ) =>
% 0.50/0.76 ( ( notinemptyset ) =>
% 0.50/0.76 ( ( exuE3e ) =>
% 0.50/0.76 ( ( setext ) =>
% 0.50/0.76 ( ( emptyI ) =>
% 0.50/0.76 ( ( noeltsimpempty ) =>
% 0.50/0.76 ( ( setbeta ) =>
% 0.50/0.76 ( ( nonemptyE1 ) =>
% 0.50/0.76 ( ( nonemptyI ) =>
% 0.50/0.76 ( ( nonemptyI1 ) =>
% 0.50/0.76 ( ( ![X10:$i,X12:$i]:
% 0.50/0.76 ( in @
% 0.50/0.76 X10 @
% 0.50/0.76 ( setadjoin @
% 0.50/0.76 X10 @ X12 ) ) ) =>
% 0.50/0.76 ( ( in @
% 0.50/0.76 emptyset @
% 0.50/0.76 ( setadjoin @
% 0.50/0.76 emptyset @
% 0.50/0.76 emptyset ) ) =>
% 0.50/0.76 ( ( ![X14:$i,
% 0.50/0.76 X16:$i,
% 0.50/0.76 X18:$i]:
% 0.50/0.76 ( (
% 0.50/0.76 in @
% 0.50/0.76 X18 @ X16 ) =>
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X18 @
% 0.50/0.76 (
% 0.50/0.76 setadjoin
% 0.50/0.76 @
% 0.50/0.76 X14 @ X16 ) ) ) ) =>
% 0.50/0.76 ( ( ![
% 0.50/0.76 X20:$i,
% 0.50/0.76 X22:$i,
% 0.50/0.76 X24:$i]:
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X24 @
% 0.50/0.76 (
% 0.50/0.76 setadjoin
% 0.50/0.76 @
% 0.50/0.76 X20 @ X22 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 ![
% 0.50/0.76 X26:$o]:
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 X24 ) =
% 0.50/0.76 (
% 0.50/0.76 X20 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 X26 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X24 @ X22 ) =>
% 0.50/0.76 (
% 0.50/0.76 X26 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 X26 ) ) ) ) ) ) =>
% 0.50/0.76 ( ![
% 0.50/0.76 X28:$i,
% 0.50/0.76 X30:$i,
% 0.50/0.76 X32:$i]:
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X32 @
% 0.50/0.76 (
% 0.50/0.76 setadjoin
% 0.50/0.76 @
% 0.50/0.76 X28 @ X30 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 X32 ) =
% 0.50/0.76 (
% 0.50/0.76 X28 ) ) |
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X32 @ X30 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.50/0.76 thf(zf_stmt_4, negated_conjecture,
% 0.50/0.76 (~( ( setextAx ) =>
% 0.50/0.76 ( ( emptysetAx ) =>
% 0.50/0.76 ( ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/0.76 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=>
% 0.50/0.76 ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) =>
% 0.50/0.76 ( ( powersetAx ) =>
% 0.50/0.76 ( ( setunionAx ) =>
% 0.50/0.76 ( ( omega0Ax ) =>
% 0.50/0.76 ( ( omegaSAx ) =>
% 0.50/0.76 ( ( omegaIndAx ) =>
% 0.50/0.76 ( ( replAx ) =>
% 0.50/0.76 ( ( foundationAx ) =>
% 0.50/0.76 ( ( wellorderingAx ) =>
% 0.50/0.76 ( ( descrp ) =>
% 0.50/0.76 ( ( dsetconstrI ) =>
% 0.50/0.76 ( ( dsetconstrEL ) =>
% 0.50/0.76 ( ( dsetconstrER ) =>
% 0.50/0.76 ( ( exuE1 ) =>
% 0.50/0.76 ( ( prop2setE ) =>
% 0.50/0.76 ( ( emptysetE ) =>
% 0.50/0.76 ( ( emptysetimpfalse ) =>
% 0.50/0.76 ( ( notinemptyset ) =>
% 0.50/0.76 ( ( exuE3e ) =>
% 0.50/0.76 ( ( setext ) =>
% 0.50/0.76 ( ( emptyI ) =>
% 0.50/0.76 ( ( noeltsimpempty ) =>
% 0.50/0.76 ( ( setbeta ) =>
% 0.50/0.76 ( ( nonemptyE1 ) =>
% 0.50/0.76 ( ( nonemptyI ) =>
% 0.50/0.76 ( ( nonemptyI1 ) =>
% 0.50/0.76 ( ( ![X10:$i,
% 0.50/0.76 X12:$i]:
% 0.50/0.76 ( in @
% 0.50/0.76 X10 @
% 0.50/0.76 ( setadjoin
% 0.50/0.76 @
% 0.50/0.76 X10 @ X12 ) ) ) =>
% 0.50/0.76 ( ( in @
% 0.50/0.76 emptyset @
% 0.50/0.76 ( setadjoin
% 0.50/0.76 @
% 0.50/0.76 emptyset @
% 0.50/0.76 emptyset ) ) =>
% 0.50/0.76 ( ( ![
% 0.50/0.76 X14:$i,
% 0.50/0.76 X16:$i,
% 0.50/0.76 X18:$i]:
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X18 @ X16 ) =>
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X18 @
% 0.50/0.76 (
% 0.50/0.76 setadjoin
% 0.50/0.76 @
% 0.50/0.76 X14 @ X16 ) ) ) ) =>
% 0.50/0.76 ( (
% 0.50/0.76 ![
% 0.50/0.76 X20:$i,
% 0.50/0.76 X22:$i,
% 0.50/0.76 X24:$i]:
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X24 @
% 0.50/0.76 (
% 0.50/0.76 setadjoin
% 0.50/0.76 @
% 0.50/0.76 X20 @ X22 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 ![
% 0.50/0.76 X26:$o]:
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 X24 ) =
% 0.50/0.76 (
% 0.50/0.76 X20 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 X26 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X24 @ X22 ) =>
% 0.50/0.76 (
% 0.50/0.76 X26 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 X26 ) ) ) ) ) ) =>
% 0.50/0.76 (
% 0.50/0.76 ![
% 0.50/0.76 X28:$i,
% 0.50/0.76 X30:$i,
% 0.50/0.76 X32:$i]:
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X32 @
% 0.50/0.76 (
% 0.50/0.76 setadjoin
% 0.50/0.76 @
% 0.50/0.76 X28 @ X30 ) ) =>
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 (
% 0.50/0.76 X32 ) =
% 0.50/0.76 (
% 0.50/0.76 X28 ) ) |
% 0.50/0.76 (
% 0.50/0.76 in @
% 0.50/0.76 X32 @ X30 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 0.50/0.76 inference('cnf.neg', [status(esa)], [zf_stmt_3])).
% 0.50/0.76 thf(zip_derived_cl20, plain, (~ (in @ sk__14 @ sk__13)),
% 0.50/0.76 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.50/0.76 thf(zip_derived_cl22, plain,
% 0.50/0.76 ( (in @ sk__14 @ (setadjoin @ sk__12 @ sk__13))),
% 0.50/0.76 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.50/0.76 thf(zip_derived_cl5, plain,
% 0.50/0.76 (![X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.76 ( (zip_tseitin_0 @ X3 @ X2 @ X1) | ~ (in @ X3 @ (setadjoin @ X1 @ X2)))),
% 0.50/0.76 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.50/0.76 thf(zip_derived_cl0, plain,
% 0.50/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.76 ( (in @ X0 @ X1) | ((X0) = (X2)) | ~ (zip_tseitin_0 @ X0 @ X1 @ X2))),
% 0.50/0.76 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.76 thf(zip_derived_cl57, plain,
% 0.50/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.76 (~ (in @ X2 @ (setadjoin @ X0 @ X1)) | ((X2) = (X0)) | (in @ X2 @ X1))),
% 0.50/0.76 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.50/0.76 thf(zip_derived_cl62, plain,
% 0.50/0.76 (( (in @ sk__14 @ sk__13) | ((sk__14) = (sk__12)))),
% 0.50/0.76 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl57])).
% 0.50/0.76 thf(zip_derived_cl21, plain, (((sk__14) != (sk__12))),
% 0.50/0.76 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.50/0.76 thf(zip_derived_cl68, plain, ( (in @ sk__14 @ sk__13)),
% 0.50/0.76 inference('simplify_reflect-', [status(thm)],
% 0.50/0.76 [zip_derived_cl62, zip_derived_cl21])).
% 0.50/0.76 thf(zip_derived_cl70, plain, ($false),
% 0.50/0.76 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl68])).
% 0.50/0.76
% 0.50/0.76 % SZS output end Refutation
% 0.50/0.76
% 0.50/0.76
% 0.50/0.76 % Terminating...
% 1.51/0.90 % Runner terminated.
% 1.51/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------