%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU591^1 : 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.BACTFJyj8t true
% Computer : n026.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 04:55:13 PM UTC 2025
% Result : Theorem 0.50s 1.06s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SEU591^1 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BACTFJyj8t true
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:07:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % 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
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/1.06 % Solved by lams/40_c.s.sh.
% 0.50/1.06 % done 36 iterations in 0.243s
% 0.50/1.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/1.06 % SZS output start Refutation
% 0.50/1.06 thf(setadjoinAx_type, type, setadjoinAx: $o).
% 0.50/1.06 thf(notdexE_type, type, notdexE: $o).
% 0.50/1.06 thf(setunionAx_type, type, setunionAx: $o).
% 0.50/1.06 thf(powersetE_type, type, powersetE: $o).
% 0.50/1.06 thf(omegaSAx_type, type, omegaSAx: $o).
% 0.50/1.06 thf(exuI1_type, type, exuI1: $o).
% 0.50/1.06 thf(exuI2_type, type, exuI2: $o).
% 0.50/1.06 thf(notequalI2_type, type, notequalI2: $o).
% 0.50/1.06 thf(sk__320_type, type, sk__320: $i).
% 0.50/1.06 thf(powerset__Cong_type, type, powerset__Cong: $o).
% 0.50/1.06 thf(wellorderingAx_type, type, wellorderingAx: $o).
% 0.50/1.06 thf(setadjoinSub2_type, type, setadjoinSub2: $o).
% 0.50/1.06 thf(setoftrueEq_type, type, setoftrueEq: $o).
% 0.50/1.06 thf(emptyset__Cong_type, type, emptyset__Cong: $o).
% 0.50/1.06 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 0.50/1.06 thf(sepInPowerset_type, type, sepInPowerset: $o).
% 0.50/1.06 thf(binunionE_type, type, binunionE: $o).
% 0.50/1.06 thf(setext_type, type, setext: $o).
% 0.50/1.06 thf(emptyinPowerset_type, type, emptyinPowerset: $o).
% 0.50/1.06 thf(descr__Cong_type, type, descr__Cong: $o).
% 0.50/1.06 thf(in_type, type, in: $i > $i > $o).
% 0.50/1.06 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o).
% 0.50/1.06 thf(binunion_type, type, binunion: $i > $i > $i).
% 0.50/1.06 thf(setadjoinIR_type, type, setadjoinIR: $o).
% 0.50/1.06 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o).
% 0.50/1.06 thf(upairset2IR_type, type, upairset2IR: $o).
% 0.50/1.06 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.50/1.06 thf(subsetE_type, type, subsetE: $o).
% 0.50/1.06 thf(prop2set2propI_type, type, prop2set2propI: $o).
% 0.50/1.06 thf(dsetconstrEL_type, type, dsetconstrEL: $o).
% 0.50/1.06 thf(setbeta_type, type, setbeta: $o).
% 0.50/1.06 thf(eqinunit_type, type, eqinunit: $o).
% 0.50/1.06 thf(upairsetIL_type, type, upairsetIL: $o).
% 0.50/1.06 thf(powersetI1_type, type, powersetI1: $o).
% 0.50/1.06 thf(sk__318_type, type, sk__318: $i).
% 0.50/1.06 thf(powersetAx_type, type, powersetAx: $o).
% 0.50/1.06 thf(powersetI_type, type, powersetI: $o).
% 0.50/1.06 thf(upairsetIR_type, type, upairsetIR: $o).
% 0.50/1.06 thf(inCongP_type, type, inCongP: $o).
% 0.50/1.06 thf(setadjoinSub_type, type, setadjoinSub: $o).
% 0.50/1.06 thf(exuE3e_type, type, exuE3e: $o).
% 0.50/1.06 thf(emptysetE_type, type, emptysetE: $o).
% 0.50/1.06 thf(setunionI_type, type, setunionI: $o).
% 0.50/1.06 thf(setunion__Cong_type, type, setunion__Cong: $o).
% 0.50/1.06 thf(prop2setI_type, type, prop2setI: $o).
% 0.50/1.06 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o).
% 0.50/1.06 thf(exuE2_type, type, exuE2: $o).
% 0.50/1.06 thf(emptyset_type, type, emptyset: $i).
% 0.50/1.06 thf(powersetsubset_type, type, powersetsubset: $o).
% 0.50/1.06 thf(subPowSU_type, type, subPowSU: $o).
% 0.50/1.06 thf(notequalI1_type, type, notequalI1: $o).
% 0.50/1.06 thf(notinemptyset_type, type, notinemptyset: $o).
% 0.50/1.06 thf(nonemptyI1_type, type, nonemptyI1: $o).
% 0.50/1.06 thf(subsetTrans_type, type, subsetTrans: $o).
% 0.50/1.06 thf(binunionIL_type, type, binunionIL: $o).
% 0.50/1.06 thf(subsetE2_type, type, subsetE2: $o).
% 0.50/1.06 thf(singletonsswitch_type, type, singletonsswitch: $o).
% 0.50/1.06 thf(setextsub_type, type, setextsub: $o).
% 0.50/1.06 thf(binunionLsub_type, type, binunionLsub: $o).
% 0.50/1.06 thf(binintersect_type, type, binintersect: $i > $i > $i).
% 0.50/1.06 thf(emptysetsubset_type, type, emptysetsubset: $o).
% 0.50/1.06 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o).
% 0.50/1.06 thf(setunionE_type, type, setunionE: $o).
% 0.50/1.06 thf(binintersectSubset5_type, type, binintersectSubset5: $o).
% 0.50/1.06 thf(emptyinunitempty_type, type, emptyinunitempty: $o).
% 0.50/1.06 thf(binunionIR_type, type, binunionIR: $o).
% 0.50/1.06 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > ($i > $o) > $o).
% 0.50/1.06 thf(setadjoinE_type, type, setadjoinE: $o).
% 0.50/1.06 thf(descr_type, type, descr: ($i > $o) > $i).
% 0.50/1.06 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > ($i > $i > $o) > $o).
% 0.50/1.06 thf(setadjoinIL_type, type, setadjoinIL: $o).
% 0.50/1.06 thf(exuE1_type, type, exuE1: $o).
% 0.50/1.06 thf(prop2set_type, type, prop2set: $o > $i).
% 0.50/1.06 thf(notinsingleton_type, type, notinsingleton: $o).
% 0.50/1.06 thf(eqimpsubset2_type, type, eqimpsubset2: $o).
% 0.50/1.06 thf(exuEu_type, type, exuEu: $o).
% 0.50/1.06 thf(binintersectI_type, type, binintersectI: $o).
% 0.50/1.06 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o).
% 0.50/1.06 thf(upairsetE_type, type, upairsetE: $o).
% 0.50/1.06 thf(omega0Ax_type, type, omega0Ax: $o).
% 0.50/1.06 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > ($i > $o) > $o).
% 0.50/1.06 thf(notsubsetI_type, type, notsubsetI: $o).
% 0.50/1.06 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o).
% 0.50/1.06 thf(setextAx_type, type, setextAx: $o).
% 0.50/1.06 thf(powersetE1_type, type, powersetE1: $o).
% 0.50/1.06 thf(noeltsimpempty_type, type, noeltsimpempty: $o).
% 0.50/1.06 thf(setunion_type, type, setunion: $i > $i).
% 0.50/1.06 thf(subsetI1_type, type, subsetI1: $o).
% 0.50/1.06 thf(descrp_type, type, descrp: $o).
% 0.50/1.06 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o).
% 0.50/1.06 thf(foundationAx_type, type, foundationAx: $o).
% 0.50/1.06 thf(emptysetAx_type, type, emptysetAx: $o).
% 0.50/1.06 thf(emptyI_type, type, emptyI: $o).
% 0.50/1.06 thf(setadjoinOr_type, type, setadjoinOr: $o).
% 0.50/1.06 thf(emptyE1_type, type, emptyE1: $o).
% 0.50/1.06 thf(emptyInPowerset_type, type, emptyInPowerset: $o).
% 0.50/1.06 thf(vacuousDall_type, type, vacuousDall: $o).
% 0.50/1.06 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i).
% 0.50/1.06 thf(dsetconstrER_type, type, dsetconstrER: $o).
% 0.50/1.06 thf(exu_type, type, exu: ($i > $o) > $o).
% 0.50/1.06 thf(sk__319_type, type, sk__319: $i).
% 0.50/1.06 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 0.50/1.06 thf(subsetI2_type, type, subsetI2: $o).
% 0.50/1.06 thf(omega__Cong_type, type, omega__Cong: $o).
% 0.50/1.06 thf(subsetRefl_type, type, subsetRefl: $o).
% 0.50/1.06 thf(uniqinunit_type, type, uniqinunit: $o).
% 0.50/1.06 thf(prop2setE_type, type, prop2setE: $o).
% 0.50/1.06 thf(binunionEcases_type, type, binunionEcases: $o).
% 0.50/1.06 thf(omega_type, type, omega: $i).
% 0.50/1.06 thf(nonemptyI_type, type, nonemptyI: $o).
% 0.50/1.06 thf(exuE3u_type, type, exuE3u: $o).
% 0.50/1.06 thf(sepSubset_type, type, sepSubset: $o).
% 0.50/1.06 thf(eqimpsubset1_type, type, eqimpsubset1: $o).
% 0.50/1.06 thf(exuI3_type, type, exuI3: $o).
% 0.50/1.06 thf(notdallE_type, type, notdallE: $o).
% 0.50/1.06 thf(powerset_type, type, powerset: $i > $i).
% 0.50/1.06 thf(dsetconstrI_type, type, dsetconstrI: $o).
% 0.50/1.06 thf(nonempty_type, type, nonempty: $i > $o).
% 0.50/1.06 thf(set2prop_type, type, set2prop: $i > $o).
% 0.50/1.06 thf(setadjoin_type, type, setadjoin: $i > $i > $i).
% 0.50/1.06 thf(exu__Cong_type, type, exu__Cong: $o).
% 0.50/1.06 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o).
% 0.50/1.06 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o).
% 0.50/1.06 thf(replAx_type, type, replAx: $o).
% 0.50/1.06 thf(nonemptyE1_type, type, nonemptyE1: $o).
% 0.50/1.06 thf(omegaIndAx_type, type, omegaIndAx: $o).
% 0.50/1.06 thf(inPowerset_type, type, inPowerset: $o).
% 0.50/1.06 thf(subset_type, type, subset: $i > $i > $o).
% 0.50/1.06 thf(in__Cong_type, type, in__Cong: $o).
% 0.50/1.06 thf(binunionRsub_type, type, binunionRsub: $o).
% 0.50/1.06 thf(subset2powerset_type, type, subset2powerset: $o).
% 0.50/1.06 thf(binintersectSubset5, axiom, binintersectSubset5 =
% 0.50/1.06 (![A:$i,B:$i,C:$i]:
% 0.50/1.06 ( ( subset @ C @ A ) =>
% 0.50/1.06 ( ( subset @ C @ B ) => ( subset @ C @ ( binintersect @ A @ B ) ) ) ))).
% 0.50/1.06 thf('0', plain,
% 0.50/1.06 (( binintersectSubset5 ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( subset @ X8 @ X4 ) =>
% 0.50/1.06 ( ( subset @ X8 @ X6 ) =>
% 0.50/1.06 ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(binintersectI, axiom, binintersectI =
% 0.50/1.06 (![A:$i,B:$i,Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ A ) =>
% 0.50/1.06 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))).
% 0.50/1.06 thf('1', plain,
% 0.50/1.06 (( binintersectI ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ X4 ) =>
% 0.50/1.06 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(binintersect, axiom,(( binintersect ) =
% 0.50/1.06 (^[A:$i,B:$i]: ( dsetconstr @ A @ ( ^[Xx:$i]: ( in @ Xx @ B ) ) )))).
% 0.50/1.06 thf('2', plain,
% 0.50/1.06 (( binintersect ) =
% 0.50/1.06 ( ^[A:$i,B:$i]: ( dsetconstr @ A @ ( ^[Xx:$i]: ( in @ Xx @ B ) ) ) )),
% 0.50/1.06 inference('simplify_rw_rule', [status(thm)], [binintersect])).
% 0.50/1.06 thf('3', plain,
% 0.50/1.06 (( binintersect ) =
% 0.50/1.06 ( ^[V_1:$i,V_2:$i]:
% 0.50/1.06 ( dsetconstr @ V_1 @ ( ^[V_3:$i]: ( in @ V_3 @ V_2 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(binunionRsub, axiom, binunionRsub =
% 0.50/1.06 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))).
% 0.50/1.06 thf('4', plain,
% 0.50/1.06 (( binunionRsub ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(binunionLsub, axiom, binunionLsub =
% 0.50/1.06 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))).
% 0.50/1.06 thf('5', plain,
% 0.50/1.06 (( binunionLsub ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(binunionE, axiom, binunionE =
% 0.50/1.06 (![A:$i,B:$i,Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ ( binunion @ A @ B ) ) =>
% 0.50/1.06 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))).
% 0.50/1.06 thf('6', plain,
% 0.50/1.06 (( binunionE ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) =>
% 0.50/1.06 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(binunionEcases, axiom, binunionEcases =
% 0.50/1.06 (![A:$i,B:$i,Xx:$i,Xphi:$o]:
% 0.50/1.06 ( ( in @ Xx @ ( binunion @ A @ B ) ) =>
% 0.50/1.06 ( ( ( in @ Xx @ A ) => ( Xphi ) ) =>
% 0.50/1.06 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))).
% 0.50/1.06 thf('7', plain,
% 0.50/1.06 (( binunionEcases ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i,X10:$o]:
% 0.50/1.06 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) =>
% 0.50/1.06 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) =>
% 0.50/1.06 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(binunionIR, axiom, binunionIR =
% 0.50/1.06 (![A:$i,B:$i,Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))).
% 0.50/1.06 thf('8', plain,
% 0.50/1.06 (( binunionIR ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(upairset2IR, axiom, upairset2IR =
% 0.50/1.06 (![Xx:$i,Xy:$i]:
% 0.50/1.06 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))).
% 0.50/1.06 thf('9', plain,
% 0.50/1.06 (( upairset2IR ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(binunionIL, axiom, binunionIL =
% 0.50/1.06 (![A:$i,B:$i,Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))).
% 0.50/1.06 thf('10', plain,
% 0.50/1.06 (( binunionIL ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(sepSubset, axiom, sepSubset =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o )]:
% 0.50/1.06 ( subset @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ A ))).
% 0.50/1.06 thf('11', plain,
% 0.50/1.06 (( sepSubset ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o )]:
% 0.50/1.06 ( subset @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ X4 ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(sepInPowerset, axiom, sepInPowerset =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o )]:
% 0.50/1.06 ( in @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ ( powerset @ A ) ))).
% 0.50/1.06 thf('12', plain,
% 0.50/1.06 (( sepInPowerset ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o )]:
% 0.50/1.06 ( in @
% 0.50/1.06 ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @
% 0.50/1.06 ( powerset @ X4 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(powersetsubset, axiom, powersetsubset =
% 0.50/1.06 (![A:$i,B:$i]:
% 0.50/1.06 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))).
% 0.50/1.06 thf('13', plain,
% 0.50/1.06 (( powersetsubset ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( subset @ X4 @ X6 ) =>
% 0.50/1.06 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))).
% 0.50/1.06 thf('14', plain,
% 0.50/1.06 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(powersetE1, axiom, powersetE1 =
% 0.50/1.06 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))).
% 0.50/1.06 thf('15', plain,
% 0.50/1.06 (( powersetE1 ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(powersetI1, axiom, powersetI1 =
% 0.50/1.06 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))).
% 0.50/1.06 thf('16', plain,
% 0.50/1.06 (( powersetI1 ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq =
% 0.50/1.06 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))).
% 0.50/1.06 thf('17', plain,
% 0.50/1.06 (( subsetemptysetimpeq ) =
% 0.50/1.06 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setextsub, axiom, setextsub =
% 0.50/1.06 (![A:$i,B:$i]:
% 0.50/1.06 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))).
% 0.50/1.06 thf('18', plain,
% 0.50/1.06 (( setextsub ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( subset @ X4 @ X6 ) =>
% 0.50/1.06 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(subset2powerset, axiom, subset2powerset =
% 0.50/1.06 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))).
% 0.50/1.06 thf('19', plain,
% 0.50/1.06 (( subset2powerset ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setadjoinSub2, axiom, setadjoinSub2 =
% 0.50/1.06 (![A:$i,Xx:$i,B:$i]:
% 0.50/1.06 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))).
% 0.50/1.06 thf('20', plain,
% 0.50/1.06 (( setadjoinSub2 ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setadjoinSub, axiom, setadjoinSub =
% 0.50/1.06 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))).
% 0.50/1.06 thf('21', plain,
% 0.50/1.06 (( setadjoinSub ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(subsetTrans, axiom, subsetTrans =
% 0.50/1.06 (![A:$i,B:$i,C:$i]:
% 0.50/1.06 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))).
% 0.50/1.06 thf('22', plain,
% 0.50/1.06 (( subsetTrans ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( subset @ X4 @ X6 ) =>
% 0.50/1.06 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))).
% 0.50/1.06 thf('23', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(notequalI2, axiom, notequalI2 =
% 0.50/1.06 (![A:$i,B:$i,Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))).
% 0.50/1.06 thf('24', plain,
% 0.50/1.06 (( notequalI2 ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ X4 ) =>
% 0.50/1.06 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(notequalI1, axiom, notequalI1 =
% 0.50/1.06 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))).
% 0.50/1.06 thf('25', plain,
% 0.50/1.06 (( notequalI1 ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(notsubsetI, axiom, notsubsetI =
% 0.50/1.06 (![A:$i,B:$i,Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))).
% 0.50/1.06 thf('26', plain,
% 0.50/1.06 (( notsubsetI ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ X4 ) =>
% 0.50/1.06 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(subsetE2, axiom, subsetE2 =
% 0.50/1.06 (![A:$i,B:$i,Xx:$i]:
% 0.50/1.06 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))).
% 0.50/1.06 thf('27', plain,
% 0.50/1.06 (( subsetE2 ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( subset @ X4 @ X6 ) =>
% 0.50/1.06 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(subsetE, axiom, subsetE =
% 0.50/1.06 (![A:$i,B:$i,Xx:$i]:
% 0.50/1.06 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))).
% 0.50/1.06 thf('28', plain,
% 0.50/1.06 (( subsetE ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(emptysetsubset, axiom, emptysetsubset =
% 0.50/1.06 (![A:$i]: ( subset @ emptyset @ A ))).
% 0.50/1.06 thf('29', plain,
% 0.50/1.06 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(subsetI2, axiom, subsetI2 =
% 0.50/1.06 (![A:$i,B:$i]:
% 0.50/1.06 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) =>
% 0.50/1.06 ( subset @ A @ B ) ))).
% 0.50/1.06 thf('30', plain,
% 0.50/1.06 (( subsetI2 ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) =>
% 0.50/1.06 ( subset @ X4 @ X6 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(eqimpsubset1, axiom, eqimpsubset1 =
% 0.50/1.06 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))).
% 0.50/1.06 thf('31', plain,
% 0.50/1.06 (( eqimpsubset1 ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(eqimpsubset2, axiom, eqimpsubset2 =
% 0.50/1.06 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))).
% 0.50/1.06 thf('32', plain,
% 0.50/1.06 (( eqimpsubset2 ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(subsetI1, axiom, subsetI1 =
% 0.50/1.06 (![A:$i,B:$i]:
% 0.50/1.06 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) =>
% 0.50/1.06 ( subset @ A @ B ) ))).
% 0.50/1.06 thf('33', plain,
% 0.50/1.06 (( subsetI1 ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) =>
% 0.50/1.06 ( subset @ X4 @ X6 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(dsetconstr__Cong, axiom, dsetconstr__Cong =
% 0.50/1.06 (![A:$i,B:$i]:
% 0.50/1.06 ( ( ( A ) = ( B ) ) =>
% 0.50/1.06 ( ![Xphi:( $i > $o ),Xpsi:( $i > $o )]:
% 0.50/1.06 ( ( ![Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ A ) =>
% 0.50/1.06 ( ![Xy:$i]:
% 0.50/1.06 ( ( in @ Xy @ B ) =>
% 0.50/1.06 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) ) ) ) =>
% 0.50/1.06 ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) =
% 0.50/1.06 ( dsetconstr @ B @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))).
% 0.50/1.06 thf('34', plain,
% 0.50/1.06 (( dsetconstr__Cong ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ( X4 ) = ( X6 ) ) =>
% 0.50/1.06 ( ![X8:( $i > $o ),X10:( $i > $o )]:
% 0.50/1.06 ( ( ![X12:$i]:
% 0.50/1.06 ( ( in @ X12 @ X4 ) =>
% 0.50/1.06 ( ![X14:$i]:
% 0.50/1.06 ( ( in @ X14 @ X6 ) =>
% 0.50/1.06 ( ( ( X12 ) = ( X14 ) ) =>
% 0.50/1.06 ( ( X8 @ X12 ) <=> ( X10 @ X14 ) ) ) ) ) ) ) =>
% 0.50/1.06 ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) =
% 0.50/1.06 ( dsetconstr @ X6 @ ( ^[V_2:$i]: ( X10 @ V_2 ) ) ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(descr__Cong, axiom, descr__Cong =
% 0.50/1.06 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]:
% 0.50/1.06 ( ( ![Xx:$i,Xy:$i]:
% 0.50/1.06 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) =>
% 0.50/1.06 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) =>
% 0.50/1.06 ( ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) =>
% 0.50/1.06 ( ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) =
% 0.50/1.06 ( descr @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))).
% 0.50/1.06 thf('35', plain,
% 0.50/1.06 (( descr__Cong ) =
% 0.50/1.06 ( ![X4:( $i > $o ),X6:( $i > $o )]:
% 0.50/1.06 ( ( ![X8:$i,X10:$i]:
% 0.50/1.06 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) =>
% 0.50/1.06 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) =>
% 0.50/1.06 ( ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) =>
% 0.50/1.06 ( ( descr @ ( ^[V_3:$i]: ( X4 @ V_3 ) ) ) =
% 0.50/1.06 ( descr @ ( ^[V_4:$i]: ( X6 @ V_4 ) ) ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(exuEu, axiom, exuEu =
% 0.50/1.06 (![Xphi:( $i > $o )]:
% 0.50/1.06 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) =>
% 0.50/1.06 ( ![Xx:$i,Xy:$i]:
% 0.50/1.06 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))).
% 0.50/1.06 thf('36', plain,
% 0.50/1.06 (( exuEu ) =
% 0.50/1.06 ( ![X4:( $i > $o )]:
% 0.50/1.06 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) =>
% 0.50/1.06 ( ![X6:$i,X8:$i]:
% 0.50/1.06 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(omega__Cong, axiom, omega__Cong = (( omega ) = ( omega ))).
% 0.50/1.06 thf('37', plain, (( omega__Cong ) = ( ( omega ) = ( omega ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setunion__Cong, axiom, setunion__Cong =
% 0.50/1.06 (![A:$i,B:$i]:
% 0.50/1.06 ( ( ( A ) = ( B ) ) => ( ( setunion @ A ) = ( setunion @ B ) ) ))).
% 0.50/1.06 thf('38', plain,
% 0.50/1.06 (( setunion__Cong ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ( X4 ) = ( X6 ) ) => ( ( setunion @ X4 ) = ( setunion @ X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(powerset__Cong, axiom, powerset__Cong =
% 0.50/1.06 (![A:$i,B:$i]:
% 0.50/1.06 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))).
% 0.50/1.06 thf('39', plain,
% 0.50/1.06 (( powerset__Cong ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setadjoin__Cong, axiom, setadjoin__Cong =
% 0.50/1.06 (![Xx:$i,Xy:$i]:
% 0.50/1.06 ( ( ( Xx ) = ( Xy ) ) =>
% 0.50/1.06 ( ![Xz:$i,Xu:$i]:
% 0.50/1.06 ( ( ( Xz ) = ( Xu ) ) =>
% 0.50/1.06 ( ( setadjoin @ Xx @ Xz ) = ( setadjoin @ Xy @ Xu ) ) ) ) ))).
% 0.50/1.06 thf('40', plain,
% 0.50/1.06 (( setadjoin__Cong ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ( X4 ) = ( X6 ) ) =>
% 0.50/1.06 ( ![X8:$i,X10:$i]:
% 0.50/1.06 ( ( ( X8 ) = ( X10 ) ) =>
% 0.50/1.06 ( ( setadjoin @ X4 @ X8 ) = ( setadjoin @ X6 @ X10 ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(emptyset__Cong, axiom, emptyset__Cong = (( emptyset ) = ( emptyset ))).
% 0.50/1.06 thf('41', plain, (( emptyset__Cong ) = ( ( emptyset ) = ( emptyset ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(exu__Cong, axiom, exu__Cong =
% 0.50/1.06 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]:
% 0.50/1.06 ( ( ![Xx:$i,Xy:$i]:
% 0.50/1.06 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) =>
% 0.50/1.06 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) <=>
% 0.50/1.06 ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ))).
% 0.50/1.06 thf('42', plain,
% 0.50/1.06 (( exu__Cong ) =
% 0.50/1.06 ( ![X4:( $i > $o ),X6:( $i > $o )]:
% 0.50/1.06 ( ( ![X8:$i,X10:$i]:
% 0.50/1.06 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) =>
% 0.50/1.06 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) <=>
% 0.50/1.06 ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(exuE3u, axiom, exuE3u =
% 0.50/1.06 (![Xphi:( $i > $o )]:
% 0.50/1.06 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) =>
% 0.50/1.06 ( ![Xx:$i,Xy:$i]:
% 0.50/1.06 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))).
% 0.50/1.06 thf('43', plain,
% 0.50/1.06 (( exuE3u ) =
% 0.50/1.06 ( ![X4:( $i > $o )]:
% 0.50/1.06 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) =>
% 0.50/1.06 ( ![X6:$i,X8:$i]:
% 0.50/1.06 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(in__Cong, axiom, in__Cong =
% 0.50/1.06 (![A:$i,B:$i]:
% 0.50/1.06 ( ( ( A ) = ( B ) ) =>
% 0.50/1.06 ( ![Xx:$i,Xy:$i]:
% 0.50/1.06 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))).
% 0.50/1.06 thf('44', plain,
% 0.50/1.06 (( in__Cong ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ( X4 ) = ( X6 ) ) =>
% 0.50/1.06 ( ![X8:$i,X10:$i]:
% 0.50/1.06 ( ( ( X8 ) = ( X10 ) ) =>
% 0.50/1.06 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(inCongP, axiom, inCongP =
% 0.50/1.06 (![A:$i,B:$i]:
% 0.50/1.06 ( ( ( A ) = ( B ) ) =>
% 0.50/1.06 ( ![Xx:$i,Xy:$i]:
% 0.50/1.06 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))).
% 0.50/1.06 thf('45', plain,
% 0.50/1.06 (( inCongP ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ( X4 ) = ( X6 ) ) =>
% 0.50/1.06 ( ![X8:$i,X10:$i]:
% 0.50/1.06 ( ( ( X8 ) = ( X10 ) ) =>
% 0.50/1.06 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(exuI2, axiom, exuI2 =
% 0.50/1.06 (![Xphi:( $i > $o )]:
% 0.50/1.06 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) =>
% 0.50/1.06 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))).
% 0.50/1.06 thf('46', plain,
% 0.50/1.06 (( exuI2 ) =
% 0.50/1.06 ( ![X4:( $i > $o )]:
% 0.50/1.06 ( ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) =>
% 0.50/1.06 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(exuI3, axiom, exuI3 =
% 0.50/1.06 (![Xphi:( $i > $o )]:
% 0.50/1.06 ( ( ?[Xx:$i]: ( Xphi @ Xx ) ) =>
% 0.50/1.06 ( ( ![Xx:$i,Xy:$i]:
% 0.50/1.06 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) =>
% 0.50/1.06 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))).
% 0.50/1.06 thf('47', plain,
% 0.50/1.06 (( exuI3 ) =
% 0.50/1.06 ( ![X4:( $i > $o )]:
% 0.50/1.06 ( ( ?[X6:$i]: ( X4 @ X6 ) ) =>
% 0.50/1.06 ( ( ![X8:$i,X10:$i]:
% 0.50/1.06 ( ( X4 @ X8 ) => ( ( X4 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) =>
% 0.50/1.06 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(exuI1, axiom, exuI1 =
% 0.50/1.06 (![Xphi:( $i > $o )]:
% 0.50/1.06 ( ( ?[Xx:$i]:
% 0.50/1.06 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) &
% 0.50/1.06 ( Xphi @ Xx ) ) ) =>
% 0.50/1.06 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))).
% 0.50/1.06 thf('48', plain,
% 0.50/1.06 (( exuI1 ) =
% 0.50/1.06 ( ![X4:( $i > $o )]:
% 0.50/1.06 ( ( ?[X6:$i]:
% 0.50/1.06 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) &
% 0.50/1.06 ( X4 @ X6 ) ) ) =>
% 0.50/1.06 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(notdallE, axiom, notdallE =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o )]:
% 0.50/1.06 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) =>
% 0.50/1.06 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))).
% 0.50/1.06 thf('49', plain,
% 0.50/1.06 (( notdallE ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o )]:
% 0.50/1.06 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) =>
% 0.50/1.06 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(notdexE, axiom, notdexE =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o )]:
% 0.50/1.06 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) =>
% 0.50/1.06 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))).
% 0.50/1.06 thf('50', plain,
% 0.50/1.06 (( notdexE ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o )]:
% 0.50/1.06 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) =>
% 0.50/1.06 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(prop2set2propI, axiom, prop2set2propI =
% 0.50/1.06 (![Xphi:$o]: ( ( Xphi ) => ( set2prop @ ( prop2set @ Xphi ) ) ))).
% 0.50/1.06 thf('51', plain,
% 0.50/1.06 (( prop2set2propI ) =
% 0.50/1.06 ( ![X4:$o]: ( ( X4 ) => ( set2prop @ ( prop2set @ X4 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(prop2setI, axiom, prop2setI =
% 0.50/1.06 (![Xphi:$o]: ( ( Xphi ) => ( in @ emptyset @ ( prop2set @ Xphi ) ) ))).
% 0.50/1.06 thf('52', plain,
% 0.50/1.06 (( prop2setI ) =
% 0.50/1.06 ( ![X4:$o]: ( ( X4 ) => ( in @ emptyset @ ( prop2set @ X4 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(quantDeMorgan4, axiom, quantDeMorgan4 =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o )]:
% 0.50/1.06 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) =>
% 0.50/1.06 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))).
% 0.50/1.06 thf('53', plain,
% 0.50/1.06 (( quantDeMorgan4 ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o )]:
% 0.50/1.06 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) =>
% 0.50/1.06 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(quantDeMorgan3, axiom, quantDeMorgan3 =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o )]:
% 0.50/1.06 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) =>
% 0.50/1.06 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))).
% 0.50/1.06 thf('54', plain,
% 0.50/1.06 (( quantDeMorgan3 ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o )]:
% 0.50/1.06 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) =>
% 0.50/1.06 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(quantDeMorgan2, axiom, quantDeMorgan2 =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o )]:
% 0.50/1.06 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) =>
% 0.50/1.06 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))).
% 0.50/1.06 thf('55', plain,
% 0.50/1.06 (( quantDeMorgan2 ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o )]:
% 0.50/1.06 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) =>
% 0.50/1.06 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(quantDeMorgan1, axiom, quantDeMorgan1 =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o )]:
% 0.50/1.06 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) =>
% 0.50/1.06 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))).
% 0.50/1.06 thf('56', plain,
% 0.50/1.06 (( quantDeMorgan1 ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o )]:
% 0.50/1.06 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) =>
% 0.50/1.06 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(vacuousDall, axiom, vacuousDall =
% 0.50/1.06 (![Xphi:( $i > $o ),Xx:$i]: ( ( in @ Xx @ emptyset ) => ( Xphi @ Xx ) ))).
% 0.50/1.06 thf('57', plain,
% 0.50/1.06 (( vacuousDall ) =
% 0.50/1.06 ( ![X4:( $i > $o ),X6:$i]: ( ( in @ X6 @ emptyset ) => ( X4 @ X6 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(emptyE1, axiom, emptyE1 =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o )]:
% 0.50/1.06 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) =>
% 0.50/1.06 ( ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = ( emptyset ) ) =>
% 0.50/1.06 ( $false ) ) ))).
% 0.50/1.06 thf('58', plain,
% 0.50/1.06 (( emptyE1 ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o )]:
% 0.50/1.06 ( ( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) =>
% 0.50/1.06 ( ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) = ( emptyset ) ) =>
% 0.50/1.06 ( $false ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(upairsetIR, axiom, upairsetIR =
% 0.50/1.06 (![Xx:$i,Xy:$i]:
% 0.50/1.06 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))).
% 0.50/1.06 thf('59', plain,
% 0.50/1.06 (( upairsetIR ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(upairsetIL, axiom, upairsetIL =
% 0.50/1.06 (![Xx:$i,Xy:$i]:
% 0.50/1.06 ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))).
% 0.50/1.06 thf('60', plain,
% 0.50/1.06 (( upairsetIL ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(upairsetE, axiom, upairsetE =
% 0.50/1.06 (![Xx:$i,Xy:$i,Xz:$i]:
% 0.50/1.06 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) =>
% 0.50/1.06 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))).
% 0.50/1.06 thf('61', plain,
% 0.50/1.06 (( upairsetE ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) =>
% 0.50/1.06 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(singletonsswitch, axiom, singletonsswitch =
% 0.50/1.06 (![Xx:$i,Xy:$i]:
% 0.50/1.06 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) =>
% 0.50/1.06 ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ))).
% 0.50/1.06 thf('62', plain,
% 0.50/1.06 (( singletonsswitch ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) =>
% 0.50/1.06 ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(eqinunit, axiom, eqinunit =
% 0.50/1.06 (![Xx:$i,Xy:$i]:
% 0.50/1.06 ( ( ( Xx ) = ( Xy ) ) => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))).
% 0.50/1.06 thf('63', plain,
% 0.50/1.06 (( eqinunit ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ( X4 ) = ( X6 ) ) => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(notinsingleton, axiom, notinsingleton =
% 0.50/1.06 (![Xx:$i,Xy:$i]:
% 0.50/1.06 ( ( ( Xx ) != ( Xy ) ) => ( ~( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ))).
% 0.50/1.06 thf('64', plain,
% 0.50/1.06 (( notinsingleton ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ( X4 ) != ( X6 ) ) =>
% 0.50/1.06 ( ~( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(uniqinunit, axiom, uniqinunit =
% 0.50/1.06 (![Xx:$i,Xy:$i]:
% 0.50/1.06 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => ( ( Xx ) = ( Xy ) ) ))).
% 0.50/1.06 thf('65', plain,
% 0.50/1.06 (( uniqinunit ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => ( ( X4 ) = ( X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(nonemptyImpWitness, axiom, nonemptyImpWitness =
% 0.50/1.06 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))).
% 0.50/1.06 thf('66', plain,
% 0.50/1.06 (( nonemptyImpWitness ) =
% 0.50/1.06 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(exuE2, axiom, exuE2 =
% 0.50/1.06 (![Xphi:( $i > $o )]:
% 0.50/1.06 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) =>
% 0.50/1.06 ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) ))).
% 0.50/1.06 thf('67', plain,
% 0.50/1.06 (( exuE2 ) =
% 0.50/1.06 ( ![X4:( $i > $o )]:
% 0.50/1.06 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) =>
% 0.50/1.06 ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(subPowSU, axiom, subPowSU =
% 0.50/1.06 (![A:$i,Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ A ) => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ))).
% 0.50/1.06 thf('68', plain,
% 0.50/1.06 (( subPowSU ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( in @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ ( setunion @ X4 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setunionE, axiom, setunionE =
% 0.50/1.06 (![A:$i,Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ ( setunion @ A ) ) =>
% 0.50/1.06 ( ![Xphi:$o]:
% 0.50/1.06 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) =>
% 0.50/1.06 ( Xphi ) ) ) ))).
% 0.50/1.06 thf('69', plain,
% 0.50/1.06 (( setunionE ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( in @ X6 @ ( setunion @ X4 ) ) =>
% 0.50/1.06 ( ![X8:$o]:
% 0.50/1.06 ( ( ![X10:$i]:
% 0.50/1.06 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) =>
% 0.50/1.06 ( X8 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setunionI, axiom, setunionI =
% 0.50/1.06 (![A:$i,Xx:$i,B:$i]:
% 0.50/1.06 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))).
% 0.50/1.06 thf('70', plain,
% 0.50/1.06 (( setunionI ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( in @ X6 @ X8 ) =>
% 0.50/1.06 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(powersetE, axiom, powersetE =
% 0.50/1.06 (![A:$i,B:$i,Xx:$i]:
% 0.50/1.06 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))).
% 0.50/1.06 thf('71', plain,
% 0.50/1.06 (( powersetE ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.50/1.06 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(emptyInPowerset, axiom, emptyInPowerset =
% 0.50/1.06 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))).
% 0.50/1.06 thf('72', plain,
% 0.50/1.06 (( emptyInPowerset ) =
% 0.50/1.06 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(emptyinPowerset, axiom, emptyinPowerset =
% 0.50/1.06 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))).
% 0.50/1.06 thf('73', plain,
% 0.50/1.06 (( emptyinPowerset ) =
% 0.50/1.06 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(powersetI, axiom, powersetI =
% 0.50/1.06 (![A:$i,B:$i]:
% 0.50/1.06 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) =>
% 0.50/1.06 ( in @ B @ ( powerset @ A ) ) ))).
% 0.50/1.06 thf('74', plain,
% 0.50/1.06 (( powersetI ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) =>
% 0.50/1.06 ( in @ X6 @ ( powerset @ X4 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setoftrueEq, axiom, setoftrueEq =
% 0.50/1.06 (![A:$i]: ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( $true ) ) ) = ( A ) ))).
% 0.50/1.06 thf('75', plain,
% 0.50/1.06 (( setoftrueEq ) =
% 0.50/1.06 ( ![X4:$i]: ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( $true ) ) ) = ( X4 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setadjoinOr, axiom, setadjoinOr =
% 0.50/1.06 (![Xx:$i,A:$i,Xy:$i]:
% 0.50/1.06 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) =>
% 0.50/1.06 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))).
% 0.50/1.06 thf('76', plain,
% 0.50/1.06 (( setadjoinOr ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) =>
% 0.50/1.06 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setadjoinE, axiom, setadjoinE =
% 0.50/1.06 (![Xx:$i,A:$i,Xy:$i]:
% 0.50/1.06 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) =>
% 0.50/1.06 ( ![Xphi:$o]:
% 0.50/1.06 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) =>
% 0.50/1.06 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))).
% 0.50/1.06 thf('77', plain,
% 0.50/1.06 (( setadjoinE ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) =>
% 0.50/1.06 ( ![X10:$o]:
% 0.50/1.06 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) =>
% 0.50/1.06 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setadjoinIR, axiom, setadjoinIR =
% 0.50/1.06 (![Xx:$i,A:$i,Xy:$i]:
% 0.50/1.06 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))).
% 0.50/1.06 thf('78', plain,
% 0.50/1.06 (( setadjoinIR ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(emptyinunitempty, axiom,(( emptyinunitempty ) =
% 0.50/1.06 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))).
% 0.50/1.06 thf('79', plain,
% 0.50/1.06 (( emptyinunitempty ) =
% 0.50/1.06 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )),
% 0.50/1.06 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])).
% 0.50/1.06 thf('80', plain,
% 0.50/1.06 (( emptyinunitempty ) =
% 0.50/1.06 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setadjoinIL, axiom, setadjoinIL =
% 0.50/1.06 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))).
% 0.50/1.06 thf('81', plain,
% 0.50/1.06 (( setadjoinIL ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(nonemptyI1, axiom, nonemptyI1 =
% 0.50/1.06 (![A:$i]: ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => ( nonempty @ A ) ))).
% 0.50/1.06 thf('82', plain,
% 0.50/1.06 (( nonemptyI1 ) =
% 0.50/1.06 ( ![X4:$i]: ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => ( nonempty @ X4 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(nonemptyI, axiom, nonemptyI =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o ),Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ A ) =>
% 0.50/1.06 ( ( Xphi @ Xx ) =>
% 0.50/1.06 ( nonempty @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))).
% 0.50/1.06 thf('83', plain,
% 0.50/1.06 (( nonemptyI ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o ),X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ X4 ) =>
% 0.50/1.06 ( ( X6 @ X8 ) =>
% 0.50/1.06 ( nonempty @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(nonemptyE1, axiom, nonemptyE1 =
% 0.50/1.06 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))).
% 0.50/1.06 thf('84', plain,
% 0.50/1.06 (( nonemptyE1 ) =
% 0.50/1.06 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(nonempty, axiom,(( nonempty ) = (^[Xx:$i]: ( ( Xx ) != ( emptyset ) )))).
% 0.50/1.06 thf('85', plain, (( nonempty ) = ( ^[Xx:$i]: ( ( Xx ) != ( emptyset ) ) )),
% 0.50/1.06 inference('simplify_rw_rule', [status(thm)], [nonempty])).
% 0.50/1.06 thf('86', plain, (( nonempty ) = ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setbeta, axiom, setbeta =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o ),Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ A ) =>
% 0.50/1.06 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) <=>
% 0.50/1.06 ( Xphi @ Xx ) ) ))).
% 0.50/1.06 thf('87', plain,
% 0.50/1.06 (( setbeta ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o ),X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ X4 ) =>
% 0.50/1.06 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=>
% 0.50/1.06 ( X6 @ X8 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(noeltsimpempty, axiom, noeltsimpempty =
% 0.50/1.06 (![A:$i]:
% 0.50/1.06 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))).
% 0.50/1.06 thf('88', plain,
% 0.50/1.06 (( noeltsimpempty ) =
% 0.50/1.06 ( ![X4:$i]:
% 0.50/1.06 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(emptyI, axiom, emptyI =
% 0.50/1.06 (![A:$i]:
% 0.50/1.06 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))).
% 0.50/1.06 thf('89', plain,
% 0.50/1.06 (( emptyI ) =
% 0.50/1.06 ( ![X4:$i]:
% 0.50/1.06 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setext, axiom, setext =
% 0.50/1.06 (![A:$i,B:$i]:
% 0.50/1.06 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) =>
% 0.50/1.06 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) =>
% 0.50/1.06 ( ( A ) = ( B ) ) ) ))).
% 0.50/1.06 thf('90', plain,
% 0.50/1.06 (( setext ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) =>
% 0.50/1.06 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) =>
% 0.50/1.06 ( ( X4 ) = ( X6 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(exuE3e, axiom, exuE3e =
% 0.50/1.06 (![Xphi:( $i > $o )]:
% 0.50/1.06 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => ( ?[Xx:$i]: ( Xphi @ Xx ) ) ))).
% 0.50/1.06 thf('91', plain,
% 0.50/1.06 (( exuE3e ) =
% 0.50/1.06 ( ![X4:( $i > $o )]:
% 0.50/1.06 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => ( ?[X6:$i]: ( X4 @ X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(notinemptyset, axiom, notinemptyset =
% 0.50/1.06 (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))).
% 0.50/1.06 thf('92', plain,
% 0.50/1.06 (( notinemptyset ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(emptysetimpfalse, axiom, emptysetimpfalse =
% 0.50/1.06 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( $false ) ))).
% 0.50/1.06 thf('93', plain,
% 0.50/1.06 (( emptysetimpfalse ) =
% 0.50/1.06 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( $false ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(emptysetE, axiom, emptysetE =
% 0.50/1.06 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( ![Xphi:$o]: ( Xphi ) ) ))).
% 0.50/1.06 thf('94', plain,
% 0.50/1.06 (( emptysetE ) =
% 0.50/1.06 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( ![X6:$o]: ( X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(prop2setE, axiom, prop2setE =
% 0.50/1.06 (![Xphi:$o,Xx:$i]: ( ( in @ Xx @ ( prop2set @ Xphi ) ) => ( Xphi ) ))).
% 0.50/1.06 thf('95', plain,
% 0.50/1.06 (( prop2setE ) =
% 0.50/1.06 ( ![X4:$o,X6:$i]: ( ( in @ X6 @ ( prop2set @ X4 ) ) => ( X4 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(exuE1, axiom, exuE1 =
% 0.50/1.06 (![Xphi:( $i > $o )]:
% 0.50/1.06 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) =>
% 0.50/1.06 ( ?[Xx:$i]:
% 0.50/1.06 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) &
% 0.50/1.06 ( Xphi @ Xx ) ) ) ))).
% 0.50/1.06 thf('96', plain,
% 0.50/1.06 (( exuE1 ) =
% 0.50/1.06 ( ![X4:( $i > $o )]:
% 0.50/1.06 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) =>
% 0.50/1.06 ( ?[X6:$i]:
% 0.50/1.06 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) &
% 0.50/1.06 ( X4 @ X6 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(dsetconstrER, axiom, dsetconstrER =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o ),Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) =>
% 0.50/1.06 ( Xphi @ Xx ) ))).
% 0.50/1.06 thf('97', plain,
% 0.50/1.06 (( dsetconstrER ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o ),X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) =>
% 0.50/1.06 ( X6 @ X8 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(dsetconstrEL, axiom, dsetconstrEL =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o ),Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) =>
% 0.50/1.06 ( in @ Xx @ A ) ))).
% 0.50/1.06 thf('98', plain,
% 0.50/1.06 (( dsetconstrEL ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o ),X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) =>
% 0.50/1.06 ( in @ X8 @ X4 ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(dsetconstrI, axiom, dsetconstrI =
% 0.50/1.06 (![A:$i,Xphi:( $i > $o ),Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ A ) =>
% 0.50/1.06 ( ( Xphi @ Xx ) =>
% 0.50/1.06 ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))).
% 0.50/1.06 thf('99', plain,
% 0.50/1.06 (( dsetconstrI ) =
% 0.50/1.06 ( ![X4:$i,X6:( $i > $o ),X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ X4 ) =>
% 0.50/1.06 ( ( X6 @ X8 ) =>
% 0.50/1.06 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(descrp, axiom, descrp =
% 0.50/1.06 (![Xphi:( $i > $o )]:
% 0.50/1.06 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) =>
% 0.50/1.06 ( Xphi @ ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))).
% 0.50/1.06 thf('100', plain,
% 0.50/1.06 (( descrp ) =
% 0.50/1.06 ( ![X4:( $i > $o )]:
% 0.50/1.06 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) =>
% 0.50/1.06 ( X4 @ ( descr @ ( ^[V_2:$i]: ( X4 @ V_2 ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(wellorderingAx, axiom, wellorderingAx =
% 0.50/1.06 (![A:$i]:
% 0.50/1.06 ( ?[B:$i]:
% 0.50/1.06 ( ( ![C:$i]:
% 0.50/1.06 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) &
% 0.50/1.06 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) =>
% 0.50/1.06 ( ?[D:$i,Xx:$i]:
% 0.50/1.06 ( ( ![E:$i]:
% 0.50/1.06 ( ( in @ E @ B ) =>
% 0.50/1.06 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) |
% 0.50/1.06 ( in @ Xx @ E ) ) ) ) &
% 0.50/1.06 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) &
% 0.50/1.06 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) &
% 0.50/1.06 ( ![C:$i,D:$i]:
% 0.50/1.06 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) =>
% 0.50/1.06 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) |
% 0.50/1.06 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) &
% 0.50/1.06 ( ![Xx:$i,Xy:$i]:
% 0.50/1.06 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) =>
% 0.50/1.06 ( ( ![C:$i]:
% 0.50/1.06 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) =>
% 0.50/1.06 ( ( Xx ) = ( Xy ) ) ) ) ) &
% 0.50/1.06 ( ![C:$i]:
% 0.50/1.06 ( ( in @ C @ B ) =>
% 0.50/1.06 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))).
% 0.50/1.06 thf('101', plain,
% 0.50/1.06 (( wellorderingAx ) =
% 0.50/1.06 ( ![X4:$i]:
% 0.50/1.06 ( ?[X6:$i]:
% 0.50/1.06 ( ( ![X8:$i]:
% 0.50/1.06 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) &
% 0.50/1.06 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) =>
% 0.50/1.06 ( ?[X14:$i,X16:$i]:
% 0.50/1.06 ( ( ![X18:$i]:
% 0.50/1.06 ( ( in @ X18 @ X6 ) =>
% 0.50/1.06 ( ( ![X20:$i]:
% 0.50/1.06 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) |
% 0.50/1.06 ( in @ X16 @ X18 ) ) ) ) &
% 0.50/1.06 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) &
% 0.50/1.06 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) &
% 0.50/1.06 ( ![X24:$i,X26:$i]:
% 0.50/1.06 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) =>
% 0.50/1.06 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) |
% 0.50/1.06 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) &
% 0.50/1.06 ( ![X32:$i,X34:$i]:
% 0.50/1.06 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) =>
% 0.50/1.06 ( ( ![X36:$i]:
% 0.50/1.06 ( ( in @ X36 @ X6 ) =>
% 0.50/1.06 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) =>
% 0.50/1.06 ( ( X32 ) = ( X34 ) ) ) ) ) &
% 0.50/1.06 ( ![X38:$i]:
% 0.50/1.06 ( ( in @ X38 @ X6 ) =>
% 0.50/1.06 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(foundationAx, axiom, foundationAx =
% 0.50/1.06 (![A:$i]:
% 0.50/1.06 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) =>
% 0.50/1.06 ( ?[B:$i]:
% 0.50/1.06 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) &
% 0.50/1.06 ( in @ B @ A ) ) ) ))).
% 0.50/1.06 thf('102', plain,
% 0.50/1.06 (( foundationAx ) =
% 0.50/1.06 ( ![X4:$i]:
% 0.50/1.06 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) =>
% 0.50/1.06 ( ?[X8:$i]:
% 0.50/1.06 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) &
% 0.50/1.06 ( in @ X8 @ X4 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(replAx, axiom, replAx =
% 0.50/1.06 (![Xphi:( $i > $i > $o ),A:$i]:
% 0.50/1.06 ( ( ![Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ A ) => ( exu @ ( ^[Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ) ) =>
% 0.50/1.06 ( ?[B:$i]:
% 0.50/1.06 ( ![Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ B ) <=>
% 0.50/1.06 ( ?[Xy:$i]: ( ( Xphi @ Xy @ Xx ) & ( in @ Xy @ A ) ) ) ) ) ) ))).
% 0.50/1.06 thf('103', plain,
% 0.50/1.06 (( replAx ) =
% 0.50/1.06 ( ![X4:( $i > $i > $o ),X6:$i]:
% 0.50/1.06 ( ( ![X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ X6 ) => ( exu @ ( ^[V_1:$i]: ( X4 @ X8 @ V_1 ) ) ) ) ) =>
% 0.50/1.06 ( ?[X10:$i]:
% 0.50/1.06 ( ![X12:$i]:
% 0.50/1.06 ( ( in @ X12 @ X10 ) <=>
% 0.50/1.06 ( ?[X14:$i]: ( ( X4 @ X14 @ X12 ) & ( in @ X14 @ X6 ) ) ) ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(omegaIndAx, axiom, omegaIndAx =
% 0.50/1.06 (![A:$i]:
% 0.50/1.06 ( ( ( in @ emptyset @ A ) &
% 0.50/1.06 ( ![Xx:$i]:
% 0.50/1.06 ( ( ( in @ Xx @ omega ) & ( in @ Xx @ A ) ) =>
% 0.50/1.06 ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) ) ) =>
% 0.50/1.06 ( ![Xx:$i]: ( ( in @ Xx @ omega ) => ( in @ Xx @ A ) ) ) ))).
% 0.50/1.06 thf('104', plain,
% 0.50/1.06 (( omegaIndAx ) =
% 0.50/1.06 ( ![X4:$i]:
% 0.50/1.06 ( ( ( in @ emptyset @ X4 ) &
% 0.50/1.06 ( ![X6:$i]:
% 0.50/1.06 ( ( ( in @ X6 @ omega ) & ( in @ X6 @ X4 ) ) =>
% 0.50/1.06 ( in @ ( setadjoin @ X6 @ X6 ) @ X4 ) ) ) ) =>
% 0.50/1.06 ( ![X8:$i]: ( ( in @ X8 @ omega ) => ( in @ X8 @ X4 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(omegaSAx, axiom, omegaSAx =
% 0.50/1.06 (![Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ omega ) => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ))).
% 0.50/1.06 thf('105', plain,
% 0.50/1.06 (( omegaSAx ) =
% 0.50/1.06 ( ![X4:$i]:
% 0.50/1.06 ( ( in @ X4 @ omega ) => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(omega0Ax, axiom,(( omega0Ax ) = (in @ emptyset @ omega))).
% 0.50/1.06 thf('106', plain, (( omega0Ax ) = ( in @ emptyset @ omega )),
% 0.50/1.06 inference('simplify_rw_rule', [status(thm)], [omega0Ax])).
% 0.50/1.06 thf('107', plain, (( omega0Ax ) = ( in @ emptyset @ omega )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setunionAx, axiom, setunionAx =
% 0.50/1.06 (![A:$i,Xx:$i]:
% 0.50/1.06 ( ( in @ Xx @ ( setunion @ A ) ) <=>
% 0.50/1.06 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))).
% 0.50/1.06 thf('108', plain,
% 0.50/1.06 (( setunionAx ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.50/1.06 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(powersetAx, axiom, powersetAx =
% 0.50/1.06 (![A:$i,B:$i]:
% 0.50/1.06 ( ( in @ B @ ( powerset @ A ) ) <=>
% 0.50/1.06 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))).
% 0.50/1.06 thf('109', plain,
% 0.50/1.06 (( powersetAx ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.50/1.06 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setadjoinAx, axiom, setadjoinAx =
% 0.50/1.06 (![Xx:$i,A:$i,Xy:$i]:
% 0.50/1.06 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=>
% 0.50/1.06 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))).
% 0.50/1.06 thf('110', plain,
% 0.50/1.06 (( setadjoinAx ) =
% 0.50/1.06 ( ![X4:$i,X6:$i,X8:$i]:
% 0.50/1.06 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=>
% 0.50/1.06 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(emptysetAx, axiom, emptysetAx = (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))).
% 0.50/1.06 thf('111', plain,
% 0.50/1.06 (( emptysetAx ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(setextAx, axiom, setextAx =
% 0.50/1.06 (![A:$i,B:$i]:
% 0.50/1.06 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) =>
% 0.50/1.06 ( ( A ) = ( B ) ) ))).
% 0.50/1.06 thf('112', plain,
% 0.50/1.06 (( setextAx ) =
% 0.50/1.06 ( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) =>
% 0.50/1.06 ( ( X4 ) = ( X6 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(exu, axiom,(( exu ) =
% 0.50/1.06 (^[Xphi:( $i > $o )]:
% 0.50/1.06 ( ?[Xx:$i]:
% 0.50/1.06 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & ( Xphi @ Xx ) ) )))).
% 0.50/1.06 thf('113', plain,
% 0.50/1.06 (( exu ) =
% 0.50/1.06 ( ^[Xphi:( $i > $o )]:
% 0.50/1.06 ( ?[Xx:$i]:
% 0.50/1.06 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) &
% 0.50/1.06 ( Xphi @ Xx ) ) ) )),
% 0.50/1.06 inference('simplify_rw_rule', [status(thm)], [exu])).
% 0.50/1.06 thf('114', plain,
% 0.50/1.06 (( exu ) =
% 0.50/1.06 ( ^[V_1:( $i > $o )]:
% 0.50/1.06 ( ?[X4:$i]:
% 0.50/1.06 ( ( ![X6:$i]: ( ( V_1 @ X6 ) => ( ( X4 ) = ( X6 ) ) ) ) &
% 0.50/1.06 ( V_1 @ X4 ) ) ) )),
% 0.50/1.06 define([status(thm)])).
% 0.50/1.06 thf(binintersectEL, conjecture,
% 0.50/1.06 (( setextAx ) =>
% 0.50/1.06 ( ( emptysetAx ) =>
% 0.50/1.06 ( ( setadjoinAx ) =>
% 0.50/1.06 ( ( powersetAx ) =>
% 0.50/1.06 ( ( setunionAx ) =>
% 0.50/1.06 ( ( omega0Ax ) =>
% 0.50/1.06 ( ( omegaSAx ) =>
% 0.50/1.06 ( ( omegaIndAx ) =>
% 0.50/1.06 ( ( replAx ) =>
% 0.50/1.06 ( ( foundationAx ) =>
% 0.50/1.06 ( ( wellorderingAx ) =>
% 0.50/1.06 ( ( descrp ) =>
% 0.50/1.06 ( ( dsetconstrI ) =>
% 0.50/1.06 ( ( dsetconstrEL ) =>
% 0.50/1.06 ( ( dsetconstrER ) =>
% 0.50/1.06 ( ( exuE1 ) =>
% 0.50/1.06 ( ( prop2setE ) =>
% 0.50/1.06 ( ( emptysetE ) =>
% 0.50/1.06 ( ( emptysetimpfalse ) =>
% 0.50/1.06 ( ( notinemptyset ) =>
% 0.50/1.06 ( ( exuE3e ) =>
% 0.50/1.06 ( ( setext ) =>
% 0.50/1.06 ( ( emptyI ) =>
% 0.50/1.06 ( ( noeltsimpempty ) =>
% 0.50/1.06 ( ( setbeta ) =>
% 0.50/1.06 ( ( nonemptyE1 ) =>
% 0.50/1.06 ( ( nonemptyI ) =>
% 0.50/1.06 ( ( nonemptyI1 ) =>
% 0.50/1.06 ( ( setadjoinIL ) =>
% 0.50/1.06 ( ( emptyinunitempty ) =>
% 0.50/1.06 ( ( setadjoinIR ) =>
% 0.50/1.06 ( ( setadjoinE ) =>
% 0.50/1.06 ( (
% 0.50/1.06 setadjoinOr ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 setoftrueEq ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 powersetI ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 emptyinPowerset ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 emptyInPowerset ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 powersetE ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 setunionI ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 setunionE ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 subPowSU ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 exuE2 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 nonemptyImpWitness ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 uniqinunit ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 notinsingleton ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 eqinunit ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 singletonsswitch ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 upairsetE ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 upairsetIL ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 upairsetIR ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 emptyE1 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 vacuousDall ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 quantDeMorgan1 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 quantDeMorgan2 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 quantDeMorgan3 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 quantDeMorgan4 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 prop2setI ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 prop2set2propI ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 notdexE ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 notdallE ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 exuI1 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 exuI3 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 exuI2 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 inCongP ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 in__Cong ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 exuE3u ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 exu__Cong ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 emptyset__Cong ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 setadjoin__Cong ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 powerset__Cong ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 setunion__Cong ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 omega__Cong ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 exuEu ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 descr__Cong ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 dsetconstr__Cong ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 subsetI1 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 eqimpsubset2 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 eqimpsubset1 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 subsetI2 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 emptysetsubset ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 subsetE ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 subsetE2 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 notsubsetI ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 notequalI1 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 notequalI2 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 subsetRefl ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 subsetTrans ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 setadjoinSub ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 setadjoinSub2 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 subset2powerset ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 setextsub ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 subsetemptysetimpeq ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 powersetI1 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 powersetE1 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 inPowerset ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 powersetsubset ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 sepInPowerset ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 sepSubset ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 binunionIL ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 upairset2IR ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 binunionIR ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 binunionEcases ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 binunionE ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 binunionLsub ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 binunionRsub ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 binintersectI ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 binintersectSubset5 ) =>
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 A:$i,B:$i,
% 0.50/1.06 Xx:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 in @
% 0.50/1.06 Xx @
% 0.50/1.06 (
% 0.50/1.06 binintersect
% 0.50/1.06 @
% 0.50/1.06 A @ B ) ) =>
% 0.50/1.06 (
% 0.50/1.06 in @
% 0.50/1.06 Xx @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.50/1.06 thf(zf_stmt_0, conjecture,
% 0.50/1.06 (( ![X4:$i,X6:$i]:
% 0.50/1.06 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) =>
% 0.50/1.06 ( ( X4 ) = ( X6 ) ) ) ) =>
% 0.50/1.06 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) =>
% 0.50/1.06 ( ( ![X12:$i,X14:$i,X16:$i]:
% 0.50/1.06 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=>
% 0.50/1.06 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) =>
% 0.50/1.06 ( ( ![X18:$i,X20:$i]:
% 0.50/1.06 ( ( in @ X20 @ ( powerset @ X18 ) ) <=>
% 0.50/1.06 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) =>
% 0.50/1.06 ( ( ![X24:$i,X26:$i]:
% 0.50/1.06 ( ( in @ X26 @ ( setunion @ X24 ) ) <=>
% 0.50/1.06 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) =>
% 0.50/1.06 ( ( in @ emptyset @ omega ) =>
% 0.50/1.06 ( ( ![X30:$i]:
% 0.50/1.06 ( ( in @ X30 @ omega ) =>
% 0.50/1.06 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) =>
% 0.50/1.06 ( ( ![X32:$i]:
% 0.50/1.06 ( ( ( ![X34:$i]:
% 0.50/1.06 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) =>
% 0.50/1.06 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) &
% 0.50/1.06 ( in @ emptyset @ X32 ) ) =>
% 0.50/1.06 ( ![X36:$i]:
% 0.50/1.06 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) =>
% 0.50/1.06 ( ( ![X38:( $i > $i > $o ),X40:$i]:
% 0.50/1.06 ( ( ![X42:$i]:
% 0.50/1.06 ( ( in @ X42 @ X40 ) =>
% 0.50/1.06 ( ?[X44:$i]:
% 0.50/1.06 ( ( X38 @ X42 @ X44 ) &
% 0.50/1.06 ( ![X46:$i]:
% 0.50/1.06 ( ( X38 @ X42 @ X46 ) =>
% 0.50/1.06 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) =>
% 0.50/1.06 ( ?[X48:$i]:
% 0.50/1.06 ( ![X50:$i]:
% 0.50/1.06 ( ( in @ X50 @ X48 ) <=>
% 0.50/1.06 ( ?[X52:$i]:
% 0.50/1.06 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) =>
% 0.50/1.06 ( ( ![X54:$i]:
% 0.50/1.06 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) =>
% 0.50/1.06 ( ?[X58:$i]:
% 0.50/1.06 ( ( in @ X58 @ X54 ) &
% 0.50/1.06 ( ~( ?[X60:$i]:
% 0.50/1.06 ( ( in @ X60 @ X58 ) & ( in @ X60 @ X54 ) ) ) ) ) ) ) ) =>
% 0.50/1.06 ( ( ![X62:$i]:
% 0.50/1.06 ( ?[X64:$i]:
% 0.50/1.06 ( ( ![X96:$i]:
% 0.50/1.06 ( ( in @ X96 @ X64 ) =>
% 0.50/1.06 ( ![X98:$i]:
% 0.50/1.06 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) &
% 0.50/1.06 ( ![X90:$i,X92:$i]:
% 0.50/1.06 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) =>
% 0.50/1.06 ( ( ![X94:$i]:
% 0.50/1.06 ( ( in @ X94 @ X64 ) =>
% 0.50/1.06 ( ( in @ X90 @ X94 ) <=>
% 0.50/1.06 ( in @ X92 @ X94 ) ) ) ) =>
% 0.50/1.06 ( ( X90 ) = ( X92 ) ) ) ) ) &
% 0.50/1.06 ( ![X82:$i,X84:$i]:
% 0.50/1.06 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) =>
% 0.50/1.06 ( ( ![X88:$i]:
% 0.50/1.06 ( ( in @ X88 @ X84 ) =>
% 0.50/1.06 ( in @ X88 @ X82 ) ) ) |
% 0.50/1.06 ( ![X86:$i]:
% 0.50/1.06 ( ( in @ X86 @ X82 ) =>
% 0.50/1.06 ( in @ X86 @ X84 ) ) ) ) ) ) &
% 0.50/1.06 ( ![X66:$i]:
% 0.50/1.06 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) &
% 0.50/1.06 ( ![X68:$i]:
% 0.50/1.06 ( ( in @ X68 @ X66 ) =>
% 0.50/1.06 ( in @ X68 @ X62 ) ) ) ) =>
% 0.50/1.06 ( ?[X72:$i,X74:$i]:
% 0.50/1.06 ( ( in @ X72 @ X64 ) &
% 0.50/1.06 ( in @ X74 @ X66 ) &
% 0.50/1.06 ( ~( ?[X80:$i]:
% 0.50/1.06 ( ( in @ X80 @ X72 ) &
% 0.50/1.06 ( in @ X80 @ X66 ) ) ) ) &
% 0.50/1.06 ( ![X76:$i]:
% 0.50/1.06 ( ( in @ X76 @ X64 ) =>
% 0.50/1.06 ( ( in @ X74 @ X76 ) |
% 0.50/1.06 ( ![X78:$i]:
% 0.50/1.06 ( ( in @ X78 @ X76 ) =>
% 0.50/1.06 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) =>
% 0.50/1.06 ( ( ![X100:( $i > $o )]:
% 0.50/1.06 ( ( ?[X102:$i]:
% 0.50/1.06 ( ( X100 @ X102 ) &
% 0.50/1.06 ( ![X104:$i]:
% 0.50/1.06 ( ( X100 @ X104 ) =>
% 0.50/1.06 ( ( X102 ) = ( X104 ) ) ) ) ) ) =>
% 0.50/1.06 ( X100 @
% 0.50/1.06 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) =>
% 0.50/1.06 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]:
% 0.50/1.06 ( ( in @ X110 @ X106 ) =>
% 0.50/1.06 ( ( X108 @ X110 ) =>
% 0.50/1.06 ( in @
% 0.50/1.06 X110 @
% 0.50/1.06 ( dsetconstr @
% 0.50/1.06 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) =>
% 0.50/1.06 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]:
% 0.50/1.06 ( ( in @
% 0.50/1.06 X116 @
% 0.50/1.06 ( dsetconstr @
% 0.50/1.06 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) =>
% 0.50/1.06 ( in @ X116 @ X112 ) ) ) =>
% 0.50/1.06 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]:
% 0.50/1.06 ( ( in @
% 0.50/1.06 X122 @
% 0.50/1.06 ( dsetconstr @
% 0.50/1.06 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) =>
% 0.50/1.06 ( X120 @ X122 ) ) ) =>
% 0.50/1.06 ( ( ![X124:( $i > $o )]:
% 0.50/1.06 ( ( ?[X126:$i]:
% 0.50/1.06 ( ( X124 @ X126 ) &
% 0.50/1.06 ( ![X128:$i]:
% 0.50/1.06 ( ( X124 @ X128 ) =>
% 0.50/1.06 ( ( X126 ) = ( X128 ) ) ) ) ) ) =>
% 0.50/1.06 ( ?[X130:$i]:
% 0.50/1.06 ( ( X124 @ X130 ) &
% 0.50/1.06 ( ![X132:$i]:
% 0.50/1.06 ( ( X124 @ X132 ) =>
% 0.50/1.06 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) =>
% 0.50/1.06 ( ( ![X134:$o,X136:$i]:
% 0.50/1.06 ( ( in @ X136 @ ( prop2set @ X134 ) ) =>
% 0.50/1.06 ( X134 ) ) ) =>
% 0.50/1.06 ( ( ![X138:$i]:
% 0.50/1.06 ( ( in @ X138 @ emptyset ) =>
% 0.50/1.06 ( ![X140:$o]: ( X140 ) ) ) ) =>
% 0.50/1.06 ( ( ![X142:$i]:
% 0.50/1.06 ( ( in @ X142 @ emptyset ) =>
% 0.50/1.06 ( $false ) ) ) =>
% 0.50/1.06 ( ( ![X144:$i]:
% 0.50/1.06 ( ~( in @ X144 @ emptyset ) ) ) =>
% 0.50/1.06 ( ( ![X146:( $i > $o )]:
% 0.50/1.06 ( ( ?[X148:$i]:
% 0.50/1.06 ( ( X146 @ X148 ) &
% 0.50/1.06 ( ![X150:$i]:
% 0.50/1.06 ( ( X146 @ X150 ) =>
% 0.50/1.06 ( ( X148 ) = ( X150 ) ) ) ) ) ) =>
% 0.50/1.06 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) =>
% 0.50/1.06 ( ( ![X154:$i,X156:$i]:
% 0.50/1.06 ( ( ![X158:$i]:
% 0.50/1.06 ( ( in @ X158 @ X154 ) =>
% 0.50/1.06 ( in @ X158 @ X156 ) ) ) =>
% 0.50/1.06 ( ( ![X160:$i]:
% 0.50/1.06 ( ( in @ X160 @ X156 ) =>
% 0.50/1.06 ( in @ X160 @ X154 ) ) ) =>
% 0.50/1.06 ( ( X154 ) = ( X156 ) ) ) ) ) =>
% 0.50/1.06 ( ( ![X162:$i]:
% 0.50/1.06 ( ( ![X164:$i]:
% 0.50/1.06 ( ~( in @ X164 @ X162 ) ) ) =>
% 0.50/1.06 ( ( X162 ) = ( emptyset ) ) ) ) =>
% 0.50/1.06 ( ( ![X166:$i]:
% 0.50/1.06 ( ( ![X168:$i]:
% 0.50/1.06 ( ~( in @ X168 @ X166 ) ) ) =>
% 0.50/1.06 ( ( X166 ) =
% 0.50/1.06 ( emptyset ) ) ) ) =>
% 0.50/1.06 ( ( ![X170:$i,
% 0.50/1.06 X172:( $i > $o ),
% 0.50/1.06 X174:$i]:
% 0.50/1.06 ( ( in @ X174 @ X170 ) =>
% 0.50/1.06 ( ( in @
% 0.50/1.06 X174 @
% 0.50/1.06 ( dsetconstr @
% 0.50/1.06 X170 @
% 0.50/1.06 ( ^[V_5:$i]:
% 0.50/1.06 ( X172 @ V_5 ) ) ) ) <=>
% 0.50/1.06 ( X172 @ X174 ) ) ) ) =>
% 0.50/1.06 ( ( ![X176:$i]:
% 0.50/1.06 ( ( ( X176 ) !=
% 0.50/1.06 ( emptyset ) ) =>
% 0.50/1.06 ( ?[X178:$i]:
% 0.50/1.06 ( in @ X178 @ X176 ) ) ) ) =>
% 0.50/1.06 ( ( ![X180:$i,
% 0.50/1.06 X182:( $i > $o ),
% 0.50/1.06 X184:$i]:
% 0.50/1.06 ( ( in @ X184 @ X180 ) =>
% 0.50/1.06 ( ( X182 @ X184 ) =>
% 0.50/1.06 ( ( dsetconstr @
% 0.50/1.06 X180 @
% 0.50/1.06 ( ^[
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% 0.50/1.06 (
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% 0.50/1.06 (
% 0.50/1.06 set2prop @
% 0.50/1.06 (
% 0.50/1.06 prop2set @
% 0.50/1.06 X338 ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X340:$i,
% 0.50/1.06 X342:(
% 0.50/1.06 $i > $o )]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ~(
% 0.50/1.06 ?[
% 0.50/1.06 X344:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 in @
% 0.50/1.06 X344 @
% 0.50/1.06 X340 ) &
% 0.50/1.06 (
% 0.50/1.06 X342 @
% 0.50/1.06 X344 ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X346:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 in @
% 0.50/1.06 X346 @
% 0.50/1.06 X340 ) =>
% 0.50/1.06 (
% 0.50/1.06 ~(
% 0.50/1.06 X342 @
% 0.50/1.06 X346 ) ) ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X348:$i,
% 0.50/1.06 X350:(
% 0.50/1.06 $i > $o )]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ~(
% 0.50/1.06 ![
% 0.50/1.06 X352:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 in @
% 0.50/1.06 X352 @
% 0.50/1.06 X348 ) =>
% 0.50/1.06 (
% 0.50/1.06 X350 @
% 0.50/1.06 X352 ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.06 ?[
% 0.50/1.06 X354:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 in @
% 0.50/1.06 X354 @
% 0.50/1.06 X348 ) &
% 0.50/1.06 (
% 0.50/1.06 ~(
% 0.50/1.06 X350 @
% 0.50/1.06 X354 ) ) ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X356:(
% 0.50/1.06 $i > $o )]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ?[
% 0.50/1.06 X358:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X356 @
% 0.50/1.06 X358 ) &
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X360:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X356 @
% 0.50/1.06 X360 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X358 ) =
% 0.50/1.06 (
% 0.50/1.06 X360 ) ) ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.06 ?[
% 0.50/1.06 X362:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X356 @
% 0.50/1.06 X362 ) &
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X364:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X356 @
% 0.50/1.06 X364 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X362 ) =
% 0.50/1.06 (
% 0.50/1.06 X364 ) ) ) ) ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X366:(
% 0.50/1.06 $i > $o )]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ?[
% 0.50/1.06 X368:$i]:
% 0.50/1.06 (
% 0.50/1.06 X366 @
% 0.50/1.06 X368 ) ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X370:$i,
% 0.50/1.06 X372:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X366 @
% 0.50/1.06 X370 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X366 @
% 0.50/1.06 X372 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X370 ) =
% 0.50/1.06 (
% 0.50/1.06 X372 ) ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.06 ?[
% 0.50/1.06 X374:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X366 @
% 0.50/1.06 X374 ) &
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X376:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X366 @
% 0.50/1.06 X376 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X374 ) =
% 0.50/1.06 (
% 0.50/1.06 X376 ) ) ) ) ) ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X378:(
% 0.50/1.06 $i > $o )]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ?[
% 0.50/1.06 X380:$i]:
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X382:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X378 @
% 0.50/1.06 X382 ) <=>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X382 ) =
% 0.50/1.06 (
% 0.50/1.06 X380 ) ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.06 ?[
% 0.50/1.06 X384:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X378 @
% 0.50/1.06 X384 ) &
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X386:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X378 @
% 0.50/1.06 X386 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X384 ) =
% 0.50/1.06 (
% 0.50/1.06 X386 ) ) ) ) ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X388:$i,
% 0.50/1.06 X390:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X388 ) =
% 0.50/1.06 (
% 0.50/1.06 X390 ) ) =>
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X392:$i,
% 0.50/1.06 X394:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X392 ) =
% 0.50/1.06 (
% 0.50/1.06 X394 ) ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 in @
% 0.50/1.06 X392 @
% 0.50/1.06 X388 ) =>
% 0.50/1.06 (
% 0.50/1.06 in @
% 0.50/1.06 X394 @
% 0.50/1.06 X390 ) ) ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X396:$i,
% 0.50/1.06 X398:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X396 ) =
% 0.50/1.06 (
% 0.50/1.06 X398 ) ) =>
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X400:$i,
% 0.50/1.06 X402:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X400 ) =
% 0.50/1.06 (
% 0.50/1.06 X402 ) ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 in @
% 0.50/1.06 X400 @
% 0.50/1.06 X396 ) <=>
% 0.50/1.06 (
% 0.50/1.06 in @
% 0.50/1.06 X402 @
% 0.50/1.06 X398 ) ) ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X404:(
% 0.50/1.06 $i > $o )]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 ?[
% 0.50/1.06 X406:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X404 @
% 0.50/1.06 X406 ) &
% 0.50/1.06 (
% 0.50/1.06 ![
% 0.50/1.06 X408:$i]:
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X404 @
% 0.50/1.06 X408 ) =>
% 0.50/1.06 (
% 0.50/1.06 (
% 0.50/1.06 X406 ) =
% 0.50/1.06 (
% 0.50/1.06 X408 ) ) ) ) ) ) =>
% 0.50/1.06 (
% 0.50/1.07 ![
% 0.50/1.07 X410:$i,
% 0.50/1.07 X412:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X404 @
% 0.50/1.07 X410 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X404 @
% 0.50/1.07 X412 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X410 ) =
% 0.50/1.07 (
% 0.50/1.07 X412 ) ) ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X414:(
% 0.50/1.07 $i > $o ),
% 0.50/1.07 X416:(
% 0.50/1.07 $i > $o )]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X418:$i,
% 0.50/1.07 X420:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X418 ) =
% 0.50/1.07 (
% 0.50/1.07 X420 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X414 @
% 0.50/1.07 X418 ) <=>
% 0.50/1.07 (
% 0.50/1.07 X416 @
% 0.50/1.07 X420 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ?[
% 0.50/1.07 X422:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X414 @
% 0.50/1.07 X422 ) &
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X424:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X414 @
% 0.50/1.07 X424 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X422 ) =
% 0.50/1.07 (
% 0.50/1.07 X424 ) ) ) ) ) ) <=>
% 0.50/1.07 (
% 0.50/1.07 ?[
% 0.50/1.07 X426:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X416 @
% 0.50/1.07 X426 ) &
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X428:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X416 @
% 0.50/1.07 X428 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X426 ) =
% 0.50/1.07 (
% 0.50/1.07 X428 ) ) ) ) ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 emptyset ) =
% 0.50/1.07 (
% 0.50/1.07 emptyset ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X430:$i,
% 0.50/1.07 X432:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X430 ) =
% 0.50/1.07 (
% 0.50/1.07 X432 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X434:$i,
% 0.50/1.07 X436:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X434 ) =
% 0.50/1.07 (
% 0.50/1.07 X436 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 setadjoin
% 0.50/1.07 @
% 0.50/1.07 X430 @
% 0.50/1.07 X434 ) =
% 0.50/1.07 (
% 0.50/1.07 setadjoin
% 0.50/1.07 @
% 0.50/1.07 X432 @
% 0.50/1.07 X436 ) ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X438:$i,
% 0.50/1.07 X440:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X438 ) =
% 0.50/1.07 (
% 0.50/1.07 X440 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 powerset @
% 0.50/1.07 X438 ) =
% 0.50/1.07 (
% 0.50/1.07 powerset @
% 0.50/1.07 X440 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X442:$i,
% 0.50/1.07 X444:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X442 ) =
% 0.50/1.07 (
% 0.50/1.07 X444 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 setunion @
% 0.50/1.07 X442 ) =
% 0.50/1.07 (
% 0.50/1.07 setunion @
% 0.50/1.07 X444 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 omega ) =
% 0.50/1.07 (
% 0.50/1.07 omega ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X446:(
% 0.50/1.07 $i > $o )]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ?[
% 0.50/1.07 X448:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X446 @
% 0.50/1.07 X448 ) &
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X450:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X446 @
% 0.50/1.07 X450 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X448 ) =
% 0.50/1.07 (
% 0.50/1.07 X450 ) ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X452:$i,
% 0.50/1.07 X454:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X446 @
% 0.50/1.07 X452 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X446 @
% 0.50/1.07 X454 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X452 ) =
% 0.50/1.07 (
% 0.50/1.07 X454 ) ) ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X456:(
% 0.50/1.07 $i > $o ),
% 0.50/1.07 X458:(
% 0.50/1.07 $i > $o )]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X460:$i,
% 0.50/1.07 X462:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X460 ) =
% 0.50/1.07 (
% 0.50/1.07 X462 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X456 @
% 0.50/1.07 X460 ) <=>
% 0.50/1.07 (
% 0.50/1.07 X458 @
% 0.50/1.07 X462 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ?[
% 0.50/1.07 X464:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X456 @
% 0.50/1.07 X464 ) &
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X466:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X456 @
% 0.50/1.07 X466 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X464 ) =
% 0.50/1.07 (
% 0.50/1.07 X466 ) ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ?[
% 0.50/1.07 X468:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X458 @
% 0.50/1.07 X468 ) &
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X470:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X458 @
% 0.50/1.07 X470 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X468 ) =
% 0.50/1.07 (
% 0.50/1.07 X470 ) ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 descr @
% 0.50/1.07 (
% 0.50/1.07 ^[
% 0.50/1.07 V_9:$i]:
% 0.50/1.07 (
% 0.50/1.07 X456 @ V_9 ) ) ) =
% 0.50/1.07 (
% 0.50/1.07 descr @
% 0.50/1.07 (
% 0.50/1.07 ^[
% 0.50/1.07 V_10:$i]:
% 0.50/1.07 (
% 0.50/1.07 X458 @
% 0.50/1.07 V_10 ) ) ) ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X472:$i,
% 0.50/1.07 X474:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X472 ) =
% 0.50/1.07 (
% 0.50/1.07 X474 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X476:(
% 0.50/1.07 $i > $o ),
% 0.50/1.07 X478:(
% 0.50/1.07 $i > $o )]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X480:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X480 @
% 0.50/1.07 X472 ) =>
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X482:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X482 @
% 0.50/1.07 X474 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X480 ) =
% 0.50/1.07 (
% 0.50/1.07 X482 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X476 @
% 0.50/1.07 X480 ) <=>
% 0.50/1.07 (
% 0.50/1.07 X478 @
% 0.50/1.07 X482 ) ) ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 dsetconstr
% 0.50/1.07 @
% 0.50/1.07 X472 @
% 0.50/1.07 (
% 0.50/1.07 ^[
% 0.50/1.07 V_11:$i]:
% 0.50/1.07 (
% 0.50/1.07 X476 @
% 0.50/1.07 V_11 ) ) ) =
% 0.50/1.07 (
% 0.50/1.07 dsetconstr
% 0.50/1.07 @
% 0.50/1.07 X474 @
% 0.50/1.07 (
% 0.50/1.07 ^[
% 0.50/1.07 V_12:$i]:
% 0.50/1.07 (
% 0.50/1.07 X478 @
% 0.50/1.07 V_12 ) ) ) ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X484:$i,
% 0.50/1.07 X486:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X488:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X488 @
% 0.50/1.07 X484 ) =>
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X488 @
% 0.50/1.07 X486 ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X484 @
% 0.50/1.07 X486 ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X490:$i,
% 0.50/1.07 X492:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X490 ) =
% 0.50/1.07 (
% 0.50/1.07 X492 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X492 @
% 0.50/1.07 X490 ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X494:$i,
% 0.50/1.07 X496:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X494 ) =
% 0.50/1.07 (
% 0.50/1.07 X496 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X494 @
% 0.50/1.07 X496 ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X498:$i,
% 0.50/1.07 X500:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X502:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X502 @
% 0.50/1.07 X498 ) =>
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X502 @
% 0.50/1.07 X500 ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X498 @
% 0.50/1.07 X500 ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X504:$i]:
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 emptyset @
% 0.50/1.07 X504 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X506:$i,
% 0.50/1.07 X508:$i,
% 0.50/1.07 X510:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X506 @
% 0.50/1.07 X508 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X510 @
% 0.50/1.07 X506 ) =>
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X510 @
% 0.50/1.07 X508 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X512:$i,
% 0.50/1.07 X514:$i,
% 0.50/1.07 X516:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X512 @
% 0.50/1.07 X514 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ~(
% 0.50/1.07 in @
% 0.50/1.07 X516 @
% 0.50/1.07 X514 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 ~(
% 0.50/1.07 in @
% 0.50/1.07 X516 @
% 0.50/1.07 X512 ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X518:$i,
% 0.50/1.07 X520:$i,
% 0.50/1.07 X522:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X522 @
% 0.50/1.07 X518 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ~(
% 0.50/1.07 in @
% 0.50/1.07 X522 @
% 0.50/1.07 X520 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 ~(
% 0.50/1.07 subset @
% 0.50/1.07 X518 @
% 0.50/1.07 X520 ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X524:$i,
% 0.50/1.07 X526:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ~(
% 0.50/1.07 subset @
% 0.50/1.07 X524 @
% 0.50/1.07 X526 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X524 ) !=
% 0.50/1.07 (
% 0.50/1.07 X526 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X528:$i,
% 0.50/1.07 X530:$i,
% 0.50/1.07 X532:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X532 @
% 0.50/1.07 X528 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ~(
% 0.50/1.07 in @
% 0.50/1.07 X532 @
% 0.50/1.07 X530 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X528 ) !=
% 0.50/1.07 (
% 0.50/1.07 X530 ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X534:$i]:
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X534 @
% 0.50/1.07 X534 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X536:$i,
% 0.50/1.07 X538:$i,
% 0.50/1.07 X540:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X536 @
% 0.50/1.07 X538 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X538 @
% 0.50/1.07 X540 ) =>
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X536 @
% 0.50/1.07 X540 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X542:$i,
% 0.50/1.07 X544:$i]:
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X544 @
% 0.50/1.07 (
% 0.50/1.07 setadjoin
% 0.50/1.07 @
% 0.50/1.07 X542 @
% 0.50/1.07 X544 ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X546:$i,
% 0.50/1.07 X548:$i,
% 0.50/1.07 X550:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X546 @
% 0.50/1.07 X550 ) =>
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X546 @
% 0.50/1.07 (
% 0.50/1.07 setadjoin
% 0.50/1.07 @
% 0.50/1.07 X548 @
% 0.50/1.07 X550 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X552:$i,
% 0.50/1.07 X554:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X552 @
% 0.50/1.07 X554 ) =>
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X552 @
% 0.50/1.07 (
% 0.50/1.07 powerset @
% 0.50/1.07 X554 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X556:$i,
% 0.50/1.07 X558:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X556 @
% 0.50/1.07 X558 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X558 @
% 0.50/1.07 X556 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X556 ) =
% 0.50/1.07 (
% 0.50/1.07 X558 ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X560:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X560 @
% 0.50/1.07 emptyset ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X560 ) =
% 0.50/1.07 (
% 0.50/1.07 emptyset ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X562:$i,
% 0.50/1.07 X564:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X564 @
% 0.50/1.07 X562 ) =>
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X564 @
% 0.50/1.07 (
% 0.50/1.07 powerset @
% 0.50/1.07 X562 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X566:$i,
% 0.50/1.07 X568:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X568 @
% 0.50/1.07 (
% 0.50/1.07 powerset @
% 0.50/1.07 X566 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X568 @
% 0.50/1.07 X566 ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X570:$i]:
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X570 @
% 0.50/1.07 (
% 0.50/1.07 powerset @
% 0.50/1.07 X570 ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X572:$i,
% 0.50/1.07 X574:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X572 @
% 0.50/1.07 X574 ) =>
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 (
% 0.50/1.07 powerset @
% 0.50/1.07 X572 ) @
% 0.50/1.07 (
% 0.50/1.07 powerset @
% 0.50/1.07 X574 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X576:$i,
% 0.50/1.07 X578:(
% 0.50/1.07 $i > $o )]:
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 (
% 0.50/1.07 dsetconstr
% 0.50/1.07 @
% 0.50/1.07 X576 @
% 0.50/1.07 (
% 0.50/1.07 ^[
% 0.50/1.07 V_13:$i]:
% 0.50/1.07 (
% 0.50/1.07 X578 @
% 0.50/1.07 V_13 ) ) ) @
% 0.50/1.07 (
% 0.50/1.07 powerset @
% 0.50/1.07 X576 ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X580:$i,
% 0.50/1.07 X582:(
% 0.50/1.07 $i > $o )]:
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 (
% 0.50/1.07 dsetconstr
% 0.50/1.07 @
% 0.50/1.07 X580 @
% 0.50/1.07 (
% 0.50/1.07 ^[
% 0.50/1.07 V_14:$i]:
% 0.50/1.07 (
% 0.50/1.07 X582 @
% 0.50/1.07 V_14 ) ) ) @
% 0.50/1.07 X580 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X584:$i,
% 0.50/1.07 X586:$i,
% 0.50/1.07 X588:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X588 @
% 0.50/1.07 X584 ) =>
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X588 @
% 0.50/1.07 (
% 0.50/1.07 binunion @
% 0.50/1.07 X584 @
% 0.50/1.07 X586 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X590:$i,
% 0.50/1.07 X592:$i]:
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X592 @
% 0.50/1.07 (
% 0.50/1.07 setadjoin
% 0.50/1.07 @
% 0.50/1.07 X590 @
% 0.50/1.07 (
% 0.50/1.07 setadjoin
% 0.50/1.07 @
% 0.50/1.07 X592 @
% 0.50/1.07 emptyset ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X594:$i,
% 0.50/1.07 X596:$i,
% 0.50/1.07 X598:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X598 @
% 0.50/1.07 X596 ) =>
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X598 @
% 0.50/1.07 (
% 0.50/1.07 binunion @
% 0.50/1.07 X594 @
% 0.50/1.07 X596 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X600:$i,
% 0.50/1.07 X602:$i,
% 0.50/1.07 X604:$i,
% 0.50/1.07 X606:$o]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X604 @
% 0.50/1.07 (
% 0.50/1.07 binunion @
% 0.50/1.07 X600 @
% 0.50/1.07 X602 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X604 @
% 0.50/1.07 X600 ) =>
% 0.50/1.07 (
% 0.50/1.07 X606 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X604 @
% 0.50/1.07 X602 ) =>
% 0.50/1.07 (
% 0.50/1.07 X606 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 X606 ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X608:$i,
% 0.50/1.07 X610:$i,
% 0.50/1.07 X612:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X612 @
% 0.50/1.07 (
% 0.50/1.07 binunion @
% 0.50/1.07 X608 @
% 0.50/1.07 X610 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X612 @
% 0.50/1.07 X610 ) |
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X612 @
% 0.50/1.07 X608 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X614:$i,
% 0.50/1.07 X616:$i]:
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X614 @
% 0.50/1.07 (
% 0.50/1.07 binunion @
% 0.50/1.07 X614 @
% 0.50/1.07 X616 ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X618:$i,
% 0.50/1.07 X620:$i]:
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X620 @
% 0.50/1.07 (
% 0.50/1.07 binunion @
% 0.50/1.07 X618 @
% 0.50/1.07 X620 ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X622:$i,
% 0.50/1.07 X624:$i,
% 0.50/1.07 X626:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X626 @
% 0.50/1.07 X622 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X626 @
% 0.50/1.07 X624 ) =>
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X626 @
% 0.50/1.07 (
% 0.50/1.07 dsetconstr
% 0.50/1.07 @
% 0.50/1.07 X622 @
% 0.50/1.07 (
% 0.50/1.07 ^[
% 0.50/1.07 V_15:$i]:
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 V_15 @
% 0.50/1.07 X624 ) ) ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X628:$i,
% 0.50/1.07 X630:$i,
% 0.50/1.07 X632:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X632 @
% 0.50/1.07 X628 ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X632 @
% 0.50/1.07 X630 ) =>
% 0.50/1.07 (
% 0.50/1.07 subset @
% 0.50/1.07 X632 @
% 0.50/1.07 (
% 0.50/1.07 dsetconstr
% 0.50/1.07 @
% 0.50/1.07 X628 @
% 0.50/1.07 (
% 0.50/1.07 ^[
% 0.50/1.07 V_16:$i]:
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 V_16 @
% 0.50/1.07 X630 ) ) ) ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X634:$i,
% 0.50/1.07 X636:$i,
% 0.50/1.07 X638:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X638 @
% 0.50/1.07 (
% 0.50/1.07 dsetconstr
% 0.50/1.07 @
% 0.50/1.07 X634 @
% 0.50/1.07 (
% 0.50/1.07 ^[
% 0.50/1.07 V_17:$i]:
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 V_17 @
% 0.50/1.07 X636 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X638 @
% 0.50/1.07 X634 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.50/1.07 thf(zf_stmt_1, type, zip_tseitin_5 : $i > ( $i > $o ) > $o).
% 0.50/1.07 thf(zf_stmt_2, axiom,
% 0.50/1.07 (![X422:$i,X414:( $i > $o )]:
% 0.50/1.07 ( ( zip_tseitin_5 @ X422 @ X414 ) <=>
% 0.50/1.07 ( ( ![X424:$i]: ( zip_tseitin_4 @ X424 @ X422 @ X414 ) ) &
% 0.50/1.07 ( X414 @ X422 ) ) ))).
% 0.50/1.07 thf(zf_stmt_3, type, zip_tseitin_4 : $i > $i > ( $i > $o ) > $o).
% 0.50/1.07 thf(zf_stmt_4, axiom,
% 0.50/1.07 (![X424:$i,X422:$i,X414:( $i > $o )]:
% 0.50/1.07 ( ( zip_tseitin_4 @ X424 @ X422 @ X414 ) <=>
% 0.50/1.07 ( ( X414 @ X424 ) => ( ( X422 ) = ( X424 ) ) ) ))).
% 0.50/1.07 thf(zf_stmt_5, type, zip_tseitin_3 : $i > $i > $i > ( $i > $i > $o ) > $o).
% 0.50/1.07 thf(zf_stmt_6, axiom,
% 0.50/1.07 (![X52:$i,X50:$i,X40:$i,X38:( $i > $i > $o )]:
% 0.50/1.07 ( ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) <=>
% 0.50/1.07 ( ( X38 @ X52 @ X50 ) & ( in @ X52 @ X40 ) ) ))).
% 0.50/1.07 thf(zf_stmt_7, type, zip_tseitin_2 : $i > $i > $i > $o).
% 0.50/1.07 thf(zf_stmt_8, axiom,
% 0.50/1.07 (![X28:$i,X26:$i,X24:$i]:
% 0.50/1.07 ( ( zip_tseitin_2 @ X28 @ X26 @ X24 ) <=>
% 0.50/1.07 ( ( in @ X28 @ X24 ) & ( in @ X26 @ X28 ) ) ))).
% 0.50/1.07 thf(zf_stmt_9, type, zip_tseitin_1 : $i > $i > $i > $o).
% 0.50/1.07 thf(zf_stmt_10, axiom,
% 0.50/1.07 (![X22:$i,X20:$i,X18:$i]:
% 0.50/1.07 ( ( zip_tseitin_1 @ X22 @ X20 @ X18 ) <=>
% 0.50/1.07 ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ))).
% 0.50/1.07 thf(zf_stmt_11, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.50/1.07 thf(zf_stmt_12, axiom,
% 0.50/1.07 (![X16:$i,X14:$i,X12:$i]:
% 0.50/1.07 ( ( zip_tseitin_0 @ X16 @ X14 @ X12 ) <=>
% 0.50/1.07 ( ( ( X16 ) = ( X12 ) ) | ( in @ X16 @ X14 ) ) ))).
% 0.50/1.07 thf(zf_stmt_13, conjecture,
% 0.50/1.07 (( ![X4:$i,X6:$i]:
% 0.50/1.07 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) =>
% 0.50/1.07 ( ( X4 ) = ( X6 ) ) ) ) =>
% 0.50/1.07 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) =>
% 0.50/1.07 ( ( ![X12:$i,X14:$i,X16:$i]:
% 0.50/1.07 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=>
% 0.50/1.07 ( zip_tseitin_0 @ X16 @ X14 @ X12 ) ) ) =>
% 0.50/1.07 ( ( ![X18:$i,X20:$i]:
% 0.50/1.07 ( ( in @ X20 @ ( powerset @ X18 ) ) <=>
% 0.50/1.07 ( ![X22:$i]: ( zip_tseitin_1 @ X22 @ X20 @ X18 ) ) ) ) =>
% 0.50/1.07 ( ( ![X24:$i,X26:$i]:
% 0.50/1.07 ( ( in @ X26 @ ( setunion @ X24 ) ) <=>
% 0.50/1.07 ( ?[X28:$i]: ( zip_tseitin_2 @ X28 @ X26 @ X24 ) ) ) ) =>
% 0.50/1.07 ( ( in @ emptyset @ omega ) =>
% 0.50/1.07 ( ( ![X30:$i]:
% 0.50/1.07 ( ( in @ X30 @ omega ) =>
% 0.50/1.07 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) =>
% 0.50/1.07 ( ( ![X32:$i]:
% 0.50/1.07 ( ( ( in @ emptyset @ X32 ) &
% 0.50/1.07 ( ![X34:$i]:
% 0.50/1.07 ( ( ( in @ X34 @ omega ) & ( in @ X34 @ X32 ) ) =>
% 0.50/1.07 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) ) =>
% 0.50/1.07 ( ![X36:$i]:
% 0.50/1.07 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) =>
% 0.50/1.07 ( ( ![X38:( $i > $i > $o ),X40:$i]:
% 0.50/1.07 ( ( ![X42:$i]:
% 0.50/1.07 ( ( in @ X42 @ X40 ) =>
% 0.50/1.07 ( ?[X44:$i]:
% 0.50/1.07 ( ( ![X46:$i]:
% 0.50/1.07 ( ( X38 @ X42 @ X46 ) =>
% 0.50/1.07 ( ( X44 ) = ( X46 ) ) ) ) &
% 0.50/1.07 ( X38 @ X42 @ X44 ) ) ) ) ) =>
% 0.50/1.07 ( ?[X48:$i]:
% 0.50/1.07 ( ![X50:$i]:
% 0.50/1.07 ( ( in @ X50 @ X48 ) <=>
% 0.50/1.07 ( ?[X52:$i]:
% 0.50/1.07 ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) ) ) ) ) ) ) =>
% 0.50/1.07 ( ( ![X54:$i]:
% 0.50/1.07 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) =>
% 0.50/1.07 ( ?[X58:$i]:
% 0.50/1.07 ( ( ~( ?[X60:$i]:
% 0.50/1.07 ( ( in @ X60 @ X54 ) & ( in @ X60 @ X58 ) ) ) ) &
% 0.50/1.07 ( in @ X58 @ X54 ) ) ) ) ) =>
% 0.50/1.07 ( ( ![X62:$i]:
% 0.50/1.07 ( ?[X64:$i]:
% 0.50/1.07 ( ( ![X66:$i]:
% 0.50/1.07 ( ( ( ![X68:$i]:
% 0.50/1.07 ( ( in @ X68 @ X66 ) =>
% 0.50/1.07 ( in @ X68 @ X62 ) ) ) &
% 0.50/1.07 ( ?[X70:$i]: ( in @ X70 @ X66 ) ) ) =>
% 0.50/1.07 ( ?[X72:$i,X74:$i]:
% 0.50/1.07 ( ( ![X76:$i]:
% 0.50/1.07 ( ( in @ X76 @ X64 ) =>
% 0.50/1.07 ( ( ![X78:$i]:
% 0.50/1.07 ( ( in @ X78 @ X76 ) =>
% 0.50/1.07 ( in @ X78 @ X72 ) ) ) |
% 0.50/1.07 ( in @ X74 @ X76 ) ) ) ) &
% 0.50/1.07 ( ~( ?[X80:$i]:
% 0.50/1.07 ( ( in @ X80 @ X66 ) &
% 0.50/1.07 ( in @ X80 @ X72 ) ) ) ) &
% 0.50/1.07 ( in @ X74 @ X66 ) & ( in @ X72 @ X64 ) ) ) ) ) &
% 0.50/1.07 ( ![X82:$i,X84:$i]:
% 0.50/1.07 ( ( ( in @ X82 @ X64 ) & ( in @ X84 @ X64 ) ) =>
% 0.50/1.07 ( ( ![X86:$i]:
% 0.50/1.07 ( ( in @ X86 @ X82 ) =>
% 0.50/1.07 ( in @ X86 @ X84 ) ) ) |
% 0.50/1.07 ( ![X88:$i]:
% 0.50/1.07 ( ( in @ X88 @ X84 ) =>
% 0.50/1.07 ( in @ X88 @ X82 ) ) ) ) ) ) &
% 0.50/1.07 ( ![X90:$i,X92:$i]:
% 0.50/1.07 ( ( ( in @ X90 @ X62 ) & ( in @ X92 @ X62 ) ) =>
% 0.50/1.07 ( ( ![X94:$i]:
% 0.50/1.07 ( ( in @ X94 @ X64 ) =>
% 0.50/1.07 ( ( in @ X90 @ X94 ) <=>
% 0.50/1.07 ( in @ X92 @ X94 ) ) ) ) =>
% 0.50/1.07 ( ( X90 ) = ( X92 ) ) ) ) ) &
% 0.50/1.07 ( ![X96:$i]:
% 0.50/1.07 ( ( in @ X96 @ X64 ) =>
% 0.50/1.07 ( ![X98:$i]:
% 0.50/1.07 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) ) ) ) =>
% 0.50/1.07 ( ( ![X100:( $i > $o )]:
% 0.50/1.07 ( ( ?[X102:$i]:
% 0.50/1.07 ( ( ![X104:$i]:
% 0.50/1.07 ( ( X100 @ X104 ) =>
% 0.50/1.07 ( ( X102 ) = ( X104 ) ) ) ) &
% 0.50/1.07 ( X100 @ X102 ) ) ) =>
% 0.50/1.07 ( X100 @
% 0.50/1.07 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) =>
% 0.50/1.07 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]:
% 0.50/1.07 ( ( in @ X110 @ X106 ) =>
% 0.50/1.07 ( ( X108 @ X110 ) =>
% 0.50/1.07 ( in @
% 0.50/1.07 X110 @
% 0.50/1.07 ( dsetconstr @
% 0.50/1.07 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) =>
% 0.50/1.07 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]:
% 0.50/1.07 ( ( in @
% 0.50/1.07 X116 @
% 0.50/1.07 ( dsetconstr @
% 0.50/1.07 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) =>
% 0.50/1.07 ( in @ X116 @ X112 ) ) ) =>
% 0.50/1.07 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]:
% 0.50/1.07 ( ( in @
% 0.50/1.07 X122 @
% 0.50/1.07 ( dsetconstr @
% 0.50/1.07 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) =>
% 0.50/1.07 ( X120 @ X122 ) ) ) =>
% 0.50/1.07 ( ( ![X124:( $i > $o )]:
% 0.50/1.07 ( ( ?[X126:$i]:
% 0.50/1.07 ( ( ![X128:$i]:
% 0.50/1.07 ( ( X124 @ X128 ) =>
% 0.50/1.07 ( ( X126 ) = ( X128 ) ) ) ) &
% 0.50/1.07 ( X124 @ X126 ) ) ) =>
% 0.50/1.07 ( ?[X130:$i]:
% 0.50/1.07 ( ( ![X132:$i]:
% 0.50/1.07 ( ( X124 @ X132 ) =>
% 0.50/1.07 ( ( X130 ) = ( X132 ) ) ) ) &
% 0.50/1.07 ( X124 @ X130 ) ) ) ) ) =>
% 0.50/1.07 ( ( ![X134:$o,X136:$i]:
% 0.50/1.07 ( ( in @ X136 @ ( prop2set @ X134 ) ) =>
% 0.50/1.07 ( X134 ) ) ) =>
% 0.50/1.07 ( ( ![X138:$i]:
% 0.50/1.07 ( ( in @ X138 @ emptyset ) =>
% 0.50/1.07 ( ![X140:$o]: ( X140 ) ) ) ) =>
% 0.50/1.07 ( ( ![X142:$i]:
% 0.50/1.07 ( ~( in @ X142 @ emptyset ) ) ) =>
% 0.50/1.07 ( ( ![X144:$i]:
% 0.50/1.07 ( ~( in @ X144 @ emptyset ) ) ) =>
% 0.50/1.07 ( ( ![X146:( $i > $o )]:
% 0.50/1.07 ( ( ?[X148:$i]:
% 0.50/1.07 ( ( ![X150:$i]:
% 0.50/1.07 ( ( X146 @ X150 ) =>
% 0.50/1.07 ( ( X148 ) = ( X150 ) ) ) ) &
% 0.50/1.07 ( X146 @ X148 ) ) ) =>
% 0.50/1.07 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) =>
% 0.50/1.07 ( ( ![X154:$i,X156:$i]:
% 0.50/1.07 ( ( ![X158:$i]:
% 0.50/1.07 ( ( in @ X158 @ X154 ) =>
% 0.50/1.07 ( in @ X158 @ X156 ) ) ) =>
% 0.50/1.07 ( ( ![X160:$i]:
% 0.50/1.07 ( ( in @ X160 @ X156 ) =>
% 0.50/1.07 ( in @ X160 @ X154 ) ) ) =>
% 0.50/1.07 ( ( X154 ) = ( X156 ) ) ) ) ) =>
% 0.50/1.07 ( ( ![X162:$i]:
% 0.50/1.07 ( ( ![X164:$i]:
% 0.50/1.07 ( ~( in @ X164 @ X162 ) ) ) =>
% 0.50/1.07 ( ( X162 ) = ( emptyset ) ) ) ) =>
% 0.50/1.07 ( ( ![X166:$i]:
% 0.50/1.07 ( ( ![X168:$i]:
% 0.50/1.07 ( ~( in @ X168 @ X166 ) ) ) =>
% 0.50/1.07 ( ( X166 ) =
% 0.50/1.07 ( emptyset ) ) ) ) =>
% 0.50/1.07 ( ( ![X170:$i,
% 0.50/1.07 X172:( $i > $o ),
% 0.50/1.07 X174:$i]:
% 0.50/1.07 ( ( in @ X174 @ X170 ) =>
% 0.50/1.07 ( ( in @
% 0.50/1.07 X174 @
% 0.50/1.07 ( dsetconstr @
% 0.50/1.07 X170 @
% 0.50/1.07 ( ^[V_5:$i]:
% 0.50/1.07 ( X172 @ V_5 ) ) ) ) <=>
% 0.50/1.07 ( X172 @ X174 ) ) ) ) =>
% 0.50/1.07 ( ( ![X176:$i]:
% 0.50/1.07 ( ( ( X176 ) !=
% 0.50/1.07 ( emptyset ) ) =>
% 0.50/1.07 ( ?[X178:$i]:
% 0.50/1.07 ( in @ X178 @ X176 ) ) ) ) =>
% 0.50/1.07 ( ( ![X180:$i,
% 0.50/1.07 X182:( $i > $o ),
% 0.50/1.07 X184:$i]:
% 0.50/1.07 ( ( in @ X184 @ X180 ) =>
% 0.50/1.07 ( ( X182 @ X184 ) =>
% 0.50/1.07 ( ( dsetconstr @
% 0.50/1.07 X180 @
% 0.50/1.07 ( ^[
% 0.50/1.07 V_6:$i]:
% 0.50/1.07 (
% 0.50/1.07 X182 @ V_6 ) ) ) !=
% 0.50/1.07 ( emptyset ) ) ) ) ) =>
% 0.50/1.07 ( ( ![X186:$i]:
% 0.50/1.07 ( ( ?[X188:$i]:
% 0.50/1.07 ( in @
% 0.50/1.07 X188 @ X186 ) ) =>
% 0.50/1.07 ( ( X186 ) !=
% 0.50/1.07 ( emptyset ) ) ) ) =>
% 0.50/1.07 ( ( ![X190:$i,
% 0.50/1.07 X192:$i]:
% 0.50/1.07 ( in @
% 0.50/1.07 X190 @
% 0.50/1.07 ( setadjoin @
% 0.50/1.07 X190 @ X192 ) ) ) =>
% 0.50/1.07 ( ( in @
% 0.50/1.07 emptyset @
% 0.50/1.07 ( setadjoin @
% 0.50/1.07 emptyset @
% 0.50/1.07 emptyset ) ) =>
% 0.50/1.07 ( ( ![X194:$i,
% 0.50/1.07 X196:$i,
% 0.50/1.07 X198:$i]:
% 0.50/1.07 ( (
% 0.50/1.07 in @
% 0.50/1.07 X198 @
% 0.50/1.07 X196 ) =>
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X198 @
% 0.50/1.07 (
% 0.50/1.07 setadjoin
% 0.50/1.07 @
% 0.50/1.07 X194 @
% 0.50/1.07 X196 ) ) ) ) =>
% 0.50/1.07 ( ( ![
% 0.50/1.07 X200:$i,
% 0.50/1.07 X202:$i,
% 0.50/1.07 X204:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X204 @
% 0.50/1.07 (
% 0.50/1.07 setadjoin
% 0.50/1.07 @
% 0.50/1.07 X200 @
% 0.50/1.07 X202 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X206:$o]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X204 ) =
% 0.50/1.07 (
% 0.50/1.07 X200 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 X206 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X204 @
% 0.50/1.07 X202 ) =>
% 0.50/1.07 (
% 0.50/1.07 X206 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 X206 ) ) ) ) ) ) =>
% 0.50/1.07 ( (
% 0.50/1.07 ![
% 0.50/1.07 X208:$i,
% 0.50/1.07 X210:$i,
% 0.50/1.07 X212:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X212 @
% 0.50/1.07 (
% 0.50/1.07 setadjoin
% 0.50/1.07 @
% 0.50/1.07 X208 @
% 0.50/1.07 X210 ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 X212 ) =
% 0.50/1.07 (
% 0.50/1.07 X208 ) ) |
% 0.50/1.07 (
% 0.50/1.07 in @
% 0.50/1.07 X212 @
% 0.50/1.07 X210 ) ) ) ) =>
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 ![
% 0.50/1.07 X214:$i]:
% 0.50/1.07 (
% 0.50/1.07 (
% 0.50/1.07 dsetconstr
% 0.50/1.07 @
% 0.50/1.07 X214 @
% 0.50/1.07 (
% 0.50/1.07 ^[
% 0.50/1.07 V_7:$i]:
% 0.50/1.07 (
% 0.50/1.07 $true ) ) ) =
% 0.51/1.07 (
% 0.51/1.07 X214 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X216:$i,
% 0.51/1.07 X218:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X220:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X220 @
% 0.51/1.07 X218 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X220 @
% 0.51/1.07 X216 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X218 @
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 X216 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X222:$i]:
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 emptyset @
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 X222 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X224:$i]:
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 emptyset @
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 X224 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X226:$i,
% 0.51/1.07 X228:$i,
% 0.51/1.07 X230:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X228 @
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 X226 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X230 @
% 0.51/1.07 X228 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X230 @
% 0.51/1.07 X226 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X232:$i,
% 0.51/1.07 X234:$i,
% 0.51/1.07 X236:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X234 @
% 0.51/1.07 X236 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X236 @
% 0.51/1.07 X232 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X234 @
% 0.51/1.07 (
% 0.51/1.07 setunion @
% 0.51/1.07 X232 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X238:$i,
% 0.51/1.07 X240:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X240 @
% 0.51/1.07 (
% 0.51/1.07 setunion @
% 0.51/1.07 X238 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X242:$o]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X244:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X240 @
% 0.51/1.07 X244 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X244 @
% 0.51/1.07 X238 ) =>
% 0.51/1.07 (
% 0.51/1.07 X242 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 X242 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X246:$i,
% 0.51/1.07 X248:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X248 @
% 0.51/1.07 X246 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X248 @
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 (
% 0.51/1.07 setunion @
% 0.51/1.07 X246 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X250:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X252:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X254:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X250 @
% 0.51/1.07 X254 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X252 ) =
% 0.51/1.07 (
% 0.51/1.07 X254 ) ) ) ) &
% 0.51/1.07 (
% 0.51/1.07 X250 @
% 0.51/1.07 X252 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X256:$i]:
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X258:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X250 @
% 0.51/1.07 X258 ) <=>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X258 ) =
% 0.51/1.07 (
% 0.51/1.07 X256 ) ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X260:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X260 ) !=
% 0.51/1.07 (
% 0.51/1.07 emptyset ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X262:$i]:
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X262 @
% 0.51/1.07 X260 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X264:$i,
% 0.51/1.07 X266:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X264 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X266 @
% 0.51/1.07 emptyset ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X264 ) =
% 0.51/1.07 (
% 0.51/1.07 X266 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X268:$i,
% 0.51/1.07 X270:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X268 ) !=
% 0.51/1.07 (
% 0.51/1.07 X270 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 in @
% 0.51/1.07 X270 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X268 @
% 0.51/1.07 emptyset ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X272:$i,
% 0.51/1.07 X274:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X272 ) =
% 0.51/1.07 (
% 0.51/1.07 X274 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X272 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X274 @
% 0.51/1.07 emptyset ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X276:$i,
% 0.51/1.07 X278:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X276 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X278 @
% 0.51/1.07 emptyset ) ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X278 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X276 @
% 0.51/1.07 emptyset ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X280:$i,
% 0.51/1.07 X282:$i,
% 0.51/1.07 X284:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X284 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X280 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X282 @
% 0.51/1.07 emptyset ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X284 ) =
% 0.51/1.07 (
% 0.51/1.07 X280 ) ) |
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X284 ) =
% 0.51/1.07 (
% 0.51/1.07 X282 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X286:$i,
% 0.51/1.07 X288:$i]:
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X286 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X286 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X288 @
% 0.51/1.07 emptyset ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X290:$i,
% 0.51/1.07 X292:$i]:
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X292 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X290 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X292 @
% 0.51/1.07 emptyset ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X294:$i,
% 0.51/1.07 X296:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X298:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X296 @
% 0.51/1.07 X298 ) &
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X298 @
% 0.51/1.07 X294 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 dsetconstr
% 0.51/1.07 @
% 0.51/1.07 X294 @
% 0.51/1.07 (
% 0.51/1.07 ^[
% 0.51/1.07 V_8:$i]:
% 0.51/1.07 (
% 0.51/1.07 X296 @ V_8 ) ) ) !=
% 0.51/1.07 (
% 0.51/1.07 emptyset ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X300:(
% 0.51/1.07 $i > $o ),
% 0.51/1.07 X302:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X302 @
% 0.51/1.07 emptyset ) =>
% 0.51/1.07 (
% 0.51/1.07 X300 @
% 0.51/1.07 X302 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X304:$i,
% 0.51/1.07 X306:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 ![
% 0.51/1.07 X308:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X308 @
% 0.51/1.07 X304 ) =>
% 0.51/1.07 (
% 0.51/1.07 X306 @
% 0.51/1.07 X308 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X310:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 X306 @
% 0.51/1.07 X310 ) ) &
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X310 @
% 0.51/1.07 X304 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X312:$i,
% 0.51/1.07 X314:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X316:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X316 @
% 0.51/1.07 X312 ) =>
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 X314 @
% 0.51/1.07 X316 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 ?[
% 0.51/1.07 X318:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X314 @
% 0.51/1.07 X318 ) &
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X318 @
% 0.51/1.07 X312 ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X320:$i,
% 0.51/1.07 X322:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 ?[
% 0.51/1.07 X324:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X322 @
% 0.51/1.07 X324 ) &
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X324 @
% 0.51/1.07 X320 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X326:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X326 @
% 0.51/1.07 X320 ) =>
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 X322 @
% 0.51/1.07 X326 ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X328:$i,
% 0.51/1.07 X330:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X332:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 X330 @
% 0.51/1.07 X332 ) ) &
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X332 @
% 0.51/1.07 X328 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 ![
% 0.51/1.07 X334:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X334 @
% 0.51/1.07 X328 ) =>
% 0.51/1.07 (
% 0.51/1.07 X330 @
% 0.51/1.07 X334 ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X336:$o]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X336 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 emptyset @
% 0.51/1.07 (
% 0.51/1.07 prop2set @
% 0.51/1.07 X336 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X338:$o]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X338 ) =>
% 0.51/1.07 (
% 0.51/1.07 set2prop @
% 0.51/1.07 (
% 0.51/1.07 prop2set @
% 0.51/1.07 X338 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X340:$i,
% 0.51/1.07 X342:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 ?[
% 0.51/1.07 X344:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X342 @
% 0.51/1.07 X344 ) &
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X344 @
% 0.51/1.07 X340 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X346:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X346 @
% 0.51/1.07 X340 ) =>
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 X342 @
% 0.51/1.07 X346 ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X348:$i,
% 0.51/1.07 X350:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 ![
% 0.51/1.07 X352:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X352 @
% 0.51/1.07 X348 ) =>
% 0.51/1.07 (
% 0.51/1.07 X350 @
% 0.51/1.07 X352 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X354:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 X350 @
% 0.51/1.07 X354 ) ) &
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X354 @
% 0.51/1.07 X348 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X356:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X358:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X360:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X356 @
% 0.51/1.07 X360 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X358 ) =
% 0.51/1.07 (
% 0.51/1.07 X360 ) ) ) ) &
% 0.51/1.07 (
% 0.51/1.07 X356 @
% 0.51/1.07 X358 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X362:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X364:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X356 @
% 0.51/1.07 X364 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X362 ) =
% 0.51/1.07 (
% 0.51/1.07 X364 ) ) ) ) &
% 0.51/1.07 (
% 0.51/1.07 X356 @
% 0.51/1.07 X362 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X366:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X368:$i]:
% 0.51/1.07 (
% 0.51/1.07 X366 @
% 0.51/1.07 X368 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X370:$i,
% 0.51/1.07 X372:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X366 @
% 0.51/1.07 X370 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X366 @
% 0.51/1.07 X372 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X370 ) =
% 0.51/1.07 (
% 0.51/1.07 X372 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X374:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X376:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X366 @
% 0.51/1.07 X376 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X374 ) =
% 0.51/1.07 (
% 0.51/1.07 X376 ) ) ) ) &
% 0.51/1.07 (
% 0.51/1.07 X366 @
% 0.51/1.07 X374 ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X378:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X380:$i]:
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X382:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X378 @
% 0.51/1.07 X382 ) <=>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X382 ) =
% 0.51/1.07 (
% 0.51/1.07 X380 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X384:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X386:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X378 @
% 0.51/1.07 X386 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X384 ) =
% 0.51/1.07 (
% 0.51/1.07 X386 ) ) ) ) &
% 0.51/1.07 (
% 0.51/1.07 X378 @
% 0.51/1.07 X384 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X388:$i,
% 0.51/1.07 X390:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X388 ) =
% 0.51/1.07 (
% 0.51/1.07 X390 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X392:$i,
% 0.51/1.07 X394:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X392 ) =
% 0.51/1.07 (
% 0.51/1.07 X394 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X392 @
% 0.51/1.07 X388 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X394 @
% 0.51/1.07 X390 ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X396:$i,
% 0.51/1.07 X398:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X396 ) =
% 0.51/1.07 (
% 0.51/1.07 X398 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X400:$i,
% 0.51/1.07 X402:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X400 ) =
% 0.51/1.07 (
% 0.51/1.07 X402 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X400 @
% 0.51/1.07 X396 ) <=>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X402 @
% 0.51/1.07 X398 ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X404:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X406:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X408:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X404 @
% 0.51/1.07 X408 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X406 ) =
% 0.51/1.07 (
% 0.51/1.07 X408 ) ) ) ) &
% 0.51/1.07 (
% 0.51/1.07 X404 @
% 0.51/1.07 X406 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X410:$i,
% 0.51/1.07 X412:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X404 @
% 0.51/1.07 X410 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X404 @
% 0.51/1.07 X412 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X410 ) =
% 0.51/1.07 (
% 0.51/1.07 X412 ) ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X414:(
% 0.51/1.07 $i > $o ),
% 0.51/1.07 X416:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X418:$i,
% 0.51/1.07 X420:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X418 ) =
% 0.51/1.07 (
% 0.51/1.07 X420 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X414 @
% 0.51/1.07 X418 ) <=>
% 0.51/1.07 (
% 0.51/1.07 X416 @
% 0.51/1.07 X420 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X422:$i]:
% 0.51/1.07 (
% 0.51/1.07 zip_tseitin_5
% 0.51/1.07 @
% 0.51/1.07 X422 @
% 0.51/1.07 X414 ) ) <=>
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X426:$i]:
% 0.51/1.07 (
% 0.51/1.07 zip_tseitin_5
% 0.51/1.07 @
% 0.51/1.07 X426 @
% 0.51/1.07 X416 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 emptyset ) =
% 0.51/1.07 (
% 0.51/1.07 emptyset ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X430:$i,
% 0.51/1.07 X432:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X430 ) =
% 0.51/1.07 (
% 0.51/1.07 X432 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X434:$i,
% 0.51/1.07 X436:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X434 ) =
% 0.51/1.07 (
% 0.51/1.07 X436 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X430 @
% 0.51/1.07 X434 ) =
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X432 @
% 0.51/1.07 X436 ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X438:$i,
% 0.51/1.07 X440:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X438 ) =
% 0.51/1.07 (
% 0.51/1.07 X440 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 X438 ) =
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 X440 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X442:$i,
% 0.51/1.07 X444:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X442 ) =
% 0.51/1.07 (
% 0.51/1.07 X444 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 setunion @
% 0.51/1.07 X442 ) =
% 0.51/1.07 (
% 0.51/1.07 setunion @
% 0.51/1.07 X444 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 omega ) =
% 0.51/1.07 (
% 0.51/1.07 omega ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X446:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X448:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X450:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X446 @
% 0.51/1.07 X450 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X448 ) =
% 0.51/1.07 (
% 0.51/1.07 X450 ) ) ) ) &
% 0.51/1.07 (
% 0.51/1.07 X446 @
% 0.51/1.07 X448 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X452:$i,
% 0.51/1.07 X454:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X446 @
% 0.51/1.07 X452 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X446 @
% 0.51/1.07 X454 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X452 ) =
% 0.51/1.07 (
% 0.51/1.07 X454 ) ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X456:(
% 0.51/1.07 $i > $o ),
% 0.51/1.07 X458:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X460:$i,
% 0.51/1.07 X462:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X460 ) =
% 0.51/1.07 (
% 0.51/1.07 X462 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X456 @
% 0.51/1.07 X460 ) <=>
% 0.51/1.07 (
% 0.51/1.07 X458 @
% 0.51/1.07 X462 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X464:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X466:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X456 @
% 0.51/1.07 X466 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X464 ) =
% 0.51/1.07 (
% 0.51/1.07 X466 ) ) ) ) &
% 0.51/1.07 (
% 0.51/1.07 X456 @
% 0.51/1.07 X464 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ?[
% 0.51/1.07 X468:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X470:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X458 @
% 0.51/1.07 X470 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X468 ) =
% 0.51/1.07 (
% 0.51/1.07 X470 ) ) ) ) &
% 0.51/1.07 (
% 0.51/1.07 X458 @
% 0.51/1.07 X468 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 descr @
% 0.51/1.07 (
% 0.51/1.07 ^[
% 0.51/1.07 V_9:$i]:
% 0.51/1.07 (
% 0.51/1.07 X456 @ V_9 ) ) ) =
% 0.51/1.07 (
% 0.51/1.07 descr @
% 0.51/1.07 (
% 0.51/1.07 ^[
% 0.51/1.07 V_10:$i]:
% 0.51/1.07 (
% 0.51/1.07 X458 @
% 0.51/1.07 V_10 ) ) ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X472:$i,
% 0.51/1.07 X474:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X472 ) =
% 0.51/1.07 (
% 0.51/1.07 X474 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X476:(
% 0.51/1.07 $i > $o ),
% 0.51/1.07 X478:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X480:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X480 @
% 0.51/1.07 X472 ) =>
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X482:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X482 @
% 0.51/1.07 X474 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X480 ) =
% 0.51/1.07 (
% 0.51/1.07 X482 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X476 @
% 0.51/1.07 X480 ) <=>
% 0.51/1.07 (
% 0.51/1.07 X478 @
% 0.51/1.07 X482 ) ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 dsetconstr
% 0.51/1.07 @
% 0.51/1.07 X472 @
% 0.51/1.07 (
% 0.51/1.07 ^[
% 0.51/1.07 V_11:$i]:
% 0.51/1.07 (
% 0.51/1.07 X476 @
% 0.51/1.07 V_11 ) ) ) =
% 0.51/1.07 (
% 0.51/1.07 dsetconstr
% 0.51/1.07 @
% 0.51/1.07 X474 @
% 0.51/1.07 (
% 0.51/1.07 ^[
% 0.51/1.07 V_12:$i]:
% 0.51/1.07 (
% 0.51/1.07 X478 @
% 0.51/1.07 V_12 ) ) ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X484:$i,
% 0.51/1.07 X486:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X488:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X488 @
% 0.51/1.07 X484 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X488 @
% 0.51/1.07 X486 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X484 @
% 0.51/1.07 X486 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X490:$i,
% 0.51/1.07 X492:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X490 ) =
% 0.51/1.07 (
% 0.51/1.07 X492 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X492 @
% 0.51/1.07 X490 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X494:$i,
% 0.51/1.07 X496:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X494 ) =
% 0.51/1.07 (
% 0.51/1.07 X496 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X494 @
% 0.51/1.07 X496 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X498:$i,
% 0.51/1.07 X500:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X502:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X502 @
% 0.51/1.07 X498 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X502 @
% 0.51/1.07 X500 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X498 @
% 0.51/1.07 X500 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X504:$i]:
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 emptyset @
% 0.51/1.07 X504 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X506:$i,
% 0.51/1.07 X508:$i,
% 0.51/1.07 X510:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X506 @
% 0.51/1.07 X508 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X510 @
% 0.51/1.07 X506 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X510 @
% 0.51/1.07 X508 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X512:$i,
% 0.51/1.07 X514:$i,
% 0.51/1.07 X516:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X512 @
% 0.51/1.07 X514 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 in @
% 0.51/1.07 X516 @
% 0.51/1.07 X514 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 in @
% 0.51/1.07 X516 @
% 0.51/1.07 X512 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X518:$i,
% 0.51/1.07 X520:$i,
% 0.51/1.07 X522:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X522 @
% 0.51/1.07 X518 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 in @
% 0.51/1.07 X522 @
% 0.51/1.07 X520 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 subset @
% 0.51/1.07 X518 @
% 0.51/1.07 X520 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X524:$i,
% 0.51/1.07 X526:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 subset @
% 0.51/1.07 X524 @
% 0.51/1.07 X526 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X524 ) !=
% 0.51/1.07 (
% 0.51/1.07 X526 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X528:$i,
% 0.51/1.07 X530:$i,
% 0.51/1.07 X532:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X532 @
% 0.51/1.07 X528 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ~(
% 0.51/1.07 in @
% 0.51/1.07 X532 @
% 0.51/1.07 X530 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X528 ) !=
% 0.51/1.07 (
% 0.51/1.07 X530 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X534:$i]:
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X534 @
% 0.51/1.07 X534 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X536:$i,
% 0.51/1.07 X538:$i,
% 0.51/1.07 X540:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X536 @
% 0.51/1.07 X538 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X538 @
% 0.51/1.07 X540 ) =>
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X536 @
% 0.51/1.07 X540 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X542:$i,
% 0.51/1.07 X544:$i]:
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X544 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X542 @
% 0.51/1.07 X544 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X546:$i,
% 0.51/1.07 X548:$i,
% 0.51/1.07 X550:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X546 @
% 0.51/1.07 X550 ) =>
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X546 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X548 @
% 0.51/1.07 X550 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X552:$i,
% 0.51/1.07 X554:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X552 @
% 0.51/1.07 X554 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X552 @
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 X554 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X556:$i,
% 0.51/1.07 X558:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X556 @
% 0.51/1.07 X558 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X558 @
% 0.51/1.07 X556 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X556 ) =
% 0.51/1.07 (
% 0.51/1.07 X558 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X560:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X560 @
% 0.51/1.07 emptyset ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 X560 ) =
% 0.51/1.07 (
% 0.51/1.07 emptyset ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X562:$i,
% 0.51/1.07 X564:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X564 @
% 0.51/1.07 X562 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X564 @
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 X562 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X566:$i,
% 0.51/1.07 X568:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X568 @
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 X566 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X568 @
% 0.51/1.07 X566 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X570:$i]:
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X570 @
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 X570 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X572:$i,
% 0.51/1.07 X574:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X572 @
% 0.51/1.07 X574 ) =>
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 X572 ) @
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 X574 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X576:$i,
% 0.51/1.07 X578:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 (
% 0.51/1.07 dsetconstr
% 0.51/1.07 @
% 0.51/1.07 X576 @
% 0.51/1.07 (
% 0.51/1.07 ^[
% 0.51/1.07 V_13:$i]:
% 0.51/1.07 (
% 0.51/1.07 X578 @
% 0.51/1.07 V_13 ) ) ) @
% 0.51/1.07 (
% 0.51/1.07 powerset @
% 0.51/1.07 X576 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X580:$i,
% 0.51/1.07 X582:(
% 0.51/1.07 $i > $o )]:
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 (
% 0.51/1.07 dsetconstr
% 0.51/1.07 @
% 0.51/1.07 X580 @
% 0.51/1.07 (
% 0.51/1.07 ^[
% 0.51/1.07 V_14:$i]:
% 0.51/1.07 (
% 0.51/1.07 X582 @
% 0.51/1.07 V_14 ) ) ) @
% 0.51/1.07 X580 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X584:$i,
% 0.51/1.07 X586:$i,
% 0.51/1.07 X588:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X588 @
% 0.51/1.07 X584 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X588 @
% 0.51/1.07 (
% 0.51/1.07 binunion @
% 0.51/1.07 X584 @
% 0.51/1.07 X586 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X590:$i,
% 0.51/1.07 X592:$i]:
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X592 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X590 @
% 0.51/1.07 (
% 0.51/1.07 setadjoin
% 0.51/1.07 @
% 0.51/1.07 X592 @
% 0.51/1.07 emptyset ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X594:$i,
% 0.51/1.07 X596:$i,
% 0.51/1.07 X598:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X598 @
% 0.51/1.07 X596 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X598 @
% 0.51/1.07 (
% 0.51/1.07 binunion @
% 0.51/1.07 X594 @
% 0.51/1.07 X596 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X600:$i,
% 0.51/1.07 X602:$i,
% 0.51/1.07 X604:$i,
% 0.51/1.07 X606:$o]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X604 @
% 0.51/1.07 (
% 0.51/1.07 binunion @
% 0.51/1.07 X600 @
% 0.51/1.07 X602 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X604 @
% 0.51/1.07 X600 ) =>
% 0.51/1.07 (
% 0.51/1.07 X606 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X604 @
% 0.51/1.07 X602 ) =>
% 0.51/1.07 (
% 0.51/1.07 X606 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 X606 ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X608:$i,
% 0.51/1.07 X610:$i,
% 0.51/1.07 X612:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X612 @
% 0.51/1.07 (
% 0.51/1.07 binunion @
% 0.51/1.07 X608 @
% 0.51/1.07 X610 ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X612 @
% 0.51/1.07 X608 ) |
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X612 @
% 0.51/1.07 X610 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X614:$i,
% 0.51/1.07 X616:$i]:
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X614 @
% 0.51/1.07 (
% 0.51/1.07 binunion @
% 0.51/1.07 X614 @
% 0.51/1.07 X616 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X618:$i,
% 0.51/1.07 X620:$i]:
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X620 @
% 0.51/1.07 (
% 0.51/1.07 binunion @
% 0.51/1.07 X618 @
% 0.51/1.07 X620 ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X622:$i,
% 0.51/1.07 X624:$i,
% 0.51/1.07 X626:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X626 @
% 0.51/1.07 X622 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X626 @
% 0.51/1.07 X624 ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X626 @
% 0.51/1.07 (
% 0.51/1.07 dsetconstr
% 0.51/1.07 @
% 0.51/1.07 X622 @
% 0.51/1.07 (
% 0.51/1.07 ^[
% 0.51/1.07 V_15:$i]:
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 V_15 @
% 0.51/1.07 X624 ) ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X628:$i,
% 0.51/1.07 X630:$i,
% 0.51/1.07 X632:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X632 @
% 0.51/1.07 X628 ) =>
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X632 @
% 0.51/1.07 X630 ) =>
% 0.51/1.07 (
% 0.51/1.07 subset @
% 0.51/1.07 X632 @
% 0.51/1.07 (
% 0.51/1.07 dsetconstr
% 0.51/1.07 @
% 0.51/1.07 X628 @
% 0.51/1.07 (
% 0.51/1.07 ^[
% 0.51/1.07 V_16:$i]:
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 V_16 @
% 0.51/1.07 X630 ) ) ) ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 ![
% 0.51/1.07 X634:$i,
% 0.51/1.07 X636:$i,
% 0.51/1.07 X638:$i]:
% 0.51/1.07 (
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X638 @
% 0.51/1.07 (
% 0.51/1.07 dsetconstr
% 0.51/1.07 @
% 0.51/1.07 X634 @
% 0.51/1.07 (
% 0.51/1.07 ^[
% 0.51/1.07 V_17:$i]:
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 V_17 @
% 0.51/1.07 X636 ) ) ) ) =>
% 0.51/1.07 (
% 0.51/1.07 in @
% 0.51/1.07 X638 @
% 0.51/1.07 X634 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.51/1.07 thf(zf_stmt_14, negated_conjecture,
% 0.51/1.07 (~( ( ![X4:$i,X6:$i]:
% 0.51/1.07 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) =>
% 0.51/1.07 ( ( X4 ) = ( X6 ) ) ) ) =>
% 0.51/1.07 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) =>
% 0.51/1.07 ( ( ![X12:$i,X14:$i,X16:$i]:
% 0.51/1.07 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=>
% 0.51/1.07 ( zip_tseitin_0 @ X16 @ X14 @ X12 ) ) ) =>
% 0.51/1.07 ( ( ![X18:$i,X20:$i]:
% 0.51/1.07 ( ( in @ X20 @ ( powerset @ X18 ) ) <=>
% 0.51/1.07 ( ![X22:$i]: ( zip_tseitin_1 @ X22 @ X20 @ X18 ) ) ) ) =>
% 0.51/1.07 ( ( ![X24:$i,X26:$i]:
% 0.51/1.07 ( ( in @ X26 @ ( setunion @ X24 ) ) <=>
% 0.51/1.07 ( ?[X28:$i]: ( zip_tseitin_2 @ X28 @ X26 @ X24 ) ) ) ) =>
% 0.51/1.07 ( ( in @ emptyset @ omega ) =>
% 0.51/1.07 ( ( ![X30:$i]:
% 0.51/1.07 ( ( in @ X30 @ omega ) =>
% 0.51/1.07 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) =>
% 0.51/1.07 ( ( ![X32:$i]:
% 0.51/1.07 ( ( ( in @ emptyset @ X32 ) &
% 0.51/1.07 ( ![X34:$i]:
% 0.51/1.07 ( ( ( in @ X34 @ omega ) & ( in @ X34 @ X32 ) ) =>
% 0.51/1.07 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) ) =>
% 0.51/1.07 ( ![X36:$i]:
% 0.51/1.07 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) =>
% 0.51/1.07 ( ( ![X38:( $i > $i > $o ),X40:$i]:
% 0.51/1.07 ( ( ![X42:$i]:
% 0.51/1.07 ( ( in @ X42 @ X40 ) =>
% 0.51/1.07 ( ?[X44:$i]:
% 0.51/1.07 ( ( ![X46:$i]:
% 0.51/1.07 ( ( X38 @ X42 @ X46 ) =>
% 0.51/1.07 ( ( X44 ) = ( X46 ) ) ) ) &
% 0.51/1.07 ( X38 @ X42 @ X44 ) ) ) ) ) =>
% 0.51/1.07 ( ?[X48:$i]:
% 0.51/1.07 ( ![X50:$i]:
% 0.51/1.07 ( ( in @ X50 @ X48 ) <=>
% 0.51/1.07 ( ?[X52:$i]:
% 0.51/1.07 ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) ) ) ) ) ) ) =>
% 0.51/1.07 ( ( ![X54:$i]:
% 0.51/1.07 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) =>
% 0.51/1.07 ( ?[X58:$i]:
% 0.51/1.07 ( ( ~( ?[X60:$i]:
% 0.51/1.07 ( ( in @ X60 @ X54 ) &
% 0.51/1.07 ( in @ X60 @ X58 ) ) ) ) &
% 0.51/1.07 ( in @ X58 @ X54 ) ) ) ) ) =>
% 0.51/1.07 ( ( ![X62:$i]:
% 0.51/1.07 ( ?[X64:$i]:
% 0.51/1.07 ( ( ![X66:$i]:
% 0.51/1.07 ( ( ( ![X68:$i]:
% 0.51/1.07 ( ( in @ X68 @ X66 ) =>
% 0.51/1.07 ( in @ X68 @ X62 ) ) ) &
% 0.51/1.07 ( ?[X70:$i]: ( in @ X70 @ X66 ) ) ) =>
% 0.51/1.07 ( ?[X72:$i,X74:$i]:
% 0.51/1.07 ( ( ![X76:$i]:
% 0.51/1.07 ( ( in @ X76 @ X64 ) =>
% 0.51/1.07 ( ( ![X78:$i]:
% 0.51/1.07 ( ( in @ X78 @ X76 ) =>
% 0.51/1.07 ( in @ X78 @ X72 ) ) ) |
% 0.51/1.07 ( in @ X74 @ X76 ) ) ) ) &
% 0.51/1.07 ( ~( ?[X80:$i]:
% 0.51/1.07 ( ( in @ X80 @ X66 ) &
% 0.51/1.07 ( in @ X80 @ X72 ) ) ) ) &
% 0.51/1.07 ( in @ X74 @ X66 ) &
% 0.51/1.07 ( in @ X72 @ X64 ) ) ) ) ) &
% 0.51/1.07 ( ![X82:$i,X84:$i]:
% 0.51/1.07 ( ( ( in @ X82 @ X64 ) & ( in @ X84 @ X64 ) ) =>
% 0.51/1.07 ( ( ![X86:$i]:
% 0.51/1.07 ( ( in @ X86 @ X82 ) =>
% 0.51/1.07 ( in @ X86 @ X84 ) ) ) |
% 0.51/1.07 ( ![X88:$i]:
% 0.51/1.07 ( ( in @ X88 @ X84 ) =>
% 0.51/1.07 ( in @ X88 @ X82 ) ) ) ) ) ) &
% 0.51/1.07 ( ![X90:$i,X92:$i]:
% 0.51/1.07 ( ( ( in @ X90 @ X62 ) & ( in @ X92 @ X62 ) ) =>
% 0.51/1.07 ( ( ![X94:$i]:
% 0.51/1.07 ( ( in @ X94 @ X64 ) =>
% 0.51/1.07 ( ( in @ X90 @ X94 ) <=>
% 0.51/1.07 ( in @ X92 @ X94 ) ) ) ) =>
% 0.51/1.07 ( ( X90 ) = ( X92 ) ) ) ) ) &
% 0.51/1.07 ( ![X96:$i]:
% 0.51/1.07 ( ( in @ X96 @ X64 ) =>
% 0.51/1.07 ( ![X98:$i]:
% 0.51/1.07 ( ( in @ X98 @ X96 ) =>
% 0.51/1.07 ( in @ X98 @ X62 ) ) ) ) ) ) ) ) =>
% 0.51/1.07 ( ( ![X100:( $i > $o )]:
% 0.51/1.07 ( ( ?[X102:$i]:
% 0.51/1.07 ( ( ![X104:$i]:
% 0.51/1.07 ( ( X100 @ X104 ) =>
% 0.51/1.07 ( ( X102 ) = ( X104 ) ) ) ) &
% 0.51/1.07 ( X100 @ X102 ) ) ) =>
% 0.51/1.07 ( X100 @
% 0.51/1.07 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) =>
% 0.51/1.07 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]:
% 0.51/1.07 ( ( in @ X110 @ X106 ) =>
% 0.51/1.07 ( ( X108 @ X110 ) =>
% 0.51/1.07 ( in @
% 0.51/1.07 X110 @
% 0.51/1.07 ( dsetconstr @
% 0.51/1.07 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) =>
% 0.51/1.07 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]:
% 0.51/1.07 ( ( in @
% 0.51/1.07 X116 @
% 0.51/1.07 ( dsetconstr @
% 0.51/1.07 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) =>
% 0.51/1.07 ( in @ X116 @ X112 ) ) ) =>
% 0.51/1.07 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]:
% 0.51/1.07 ( ( in @
% 0.51/1.07 X122 @
% 0.51/1.07 ( dsetconstr @
% 0.51/1.07 X118 @
% 0.51/1.07 ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) =>
% 0.51/1.07 ( X120 @ X122 ) ) ) =>
% 0.51/1.07 ( ( ![X124:( $i > $o )]:
% 0.51/1.07 ( ( ?[X126:$i]:
% 0.51/1.07 ( ( ![X128:$i]:
% 0.51/1.07 ( ( X124 @ X128 ) =>
% 0.51/1.07 ( ( X126 ) = ( X128 ) ) ) ) &
% 0.51/1.07 ( X124 @ X126 ) ) ) =>
% 0.51/1.07 ( ?[X130:$i]:
% 0.51/1.07 ( ( ![X132:$i]:
% 0.51/1.07 ( ( X124 @ X132 ) =>
% 0.51/1.07 ( ( X130 ) = ( X132 ) ) ) ) &
% 0.51/1.07 ( X124 @ X130 ) ) ) ) ) =>
% 0.51/1.07 ( ( ![X134:$o,X136:$i]:
% 0.51/1.07 ( ( in @ X136 @ ( prop2set @ X134 ) ) =>
% 0.51/1.07 ( X134 ) ) ) =>
% 0.51/1.07 ( ( ![X138:$i]:
% 0.51/1.07 ( ( in @ X138 @ emptyset ) =>
% 0.51/1.07 ( ![X140:$o]: ( X140 ) ) ) ) =>
% 0.51/1.07 ( ( ![X142:$i]:
% 0.51/1.07 ( ~( in @ X142 @ emptyset ) ) ) =>
% 0.51/1.07 ( ( ![X144:$i]:
% 0.51/1.07 ( ~( in @ X144 @ emptyset ) ) ) =>
% 0.51/1.07 ( ( ![X146:( $i > $o )]:
% 0.51/1.07 ( ( ?[X148:$i]:
% 0.51/1.07 ( ( ![X150:$i]:
% 0.51/1.07 ( ( X146 @ X150 ) =>
% 0.51/1.07 ( ( X148 ) =
% 0.51/1.07 ( X150 ) ) ) ) &
% 0.51/1.07 ( X146 @ X148 ) ) ) =>
% 0.51/1.07 ( ?[X152:$i]:
% 0.51/1.07 ( X146 @ X152 ) ) ) ) =>
% 0.51/1.07 ( ( ![X154:$i,X156:$i]:
% 0.51/1.07 ( ( ![X158:$i]:
% 0.51/1.07 ( ( in @ X158 @ X154 ) =>
% 0.51/1.07 ( in @ X158 @ X156 ) ) ) =>
% 0.51/1.07 ( ( ![X160:$i]:
% 0.51/1.07 ( ( in @ X160 @ X156 ) =>
% 0.51/1.07 ( in @ X160 @ X154 ) ) ) =>
% 0.51/1.07 ( ( X154 ) = ( X156 ) ) ) ) ) =>
% 0.51/1.07 ( ( ![X162:$i]:
% 0.51/1.07 ( ( ![X164:$i]:
% 0.51/1.07 ( ~( in @ X164 @ X162 ) ) ) =>
% 0.51/1.07 ( ( X162 ) =
% 0.51/1.07 ( emptyset ) ) ) ) =>
% 0.51/1.07 ( ( ![X166:$i]:
% 0.51/1.07 ( ( ![X168:$i]:
% 0.51/1.07 ( ~( in @
% 0.51/1.07 X168 @ X166 ) ) ) =>
% 0.51/1.07 ( ( X166 ) =
% 0.51/1.07 ( emptyset ) ) ) ) =>
% 0.51/1.07 ( ( ![X170:$i,
% 0.51/1.07 X172:( $i > $o ),
% 0.51/1.07 X174:$i]:
% 0.51/1.07 ( ( in @ X174 @ X170 ) =>
% 0.51/1.07 ( ( in @
% 0.51/1.07 X174 @
% 0.51/1.07 ( dsetconstr @
% 0.51/1.07 X170 @
% 0.51/1.07 ( ^[V_5:$i]:
% 0.51/1.07 ( X172 @
% 0.51/1.07 V_5 ) ) ) ) <=>
% 0.51/1.07 ( X172 @ X174 ) ) ) ) =>
% 0.51/1.07 ( ( ![X176:$i]:
% 0.51/1.07 ( ( ( X176 ) !=
% 0.51/1.07 ( emptyset ) ) =>
% 0.51/1.07 ( ?[X178:$i]:
% 0.51/1.07 ( in @
% 0.51/1.07 X178 @ X176 ) ) ) ) =>
% 0.51/1.07 ( ( ![X180:$i,
% 0.51/1.07 X182:(
% 0.51/1.07 $i > $o ),
% 0.51/1.07 X184:$i]:
% 0.51/1.07 ( ( in @
% 0.51/1.07 X184 @ X180 ) =>
% 0.51/1.07 ( ( X182 @ X184 ) =>
% 0.51/1.07 ( ( dsetconstr
% 0.51/1.07 @
% 0.51/1.07 X180 @
% 0.51/1.07 (
% 0.51/1.07 ^[
% 0.51/1.07 V_6:$i]:
% 0.51/1.07 (
% 0.51/1.07 X182 @
% 0.51/1.07 V_6 ) ) ) !=
% 0.51/1.07 ( emptyset ) ) ) ) ) =>
% 0.51/1.07 ( ( ![X186:$i]:
% 0.51/1.07 ( ( ?[X188:$i]:
% 0.51/1.07 ( in @
% 0.51/1.07 X188 @
% 0.51/1.07 X186 ) ) =>
% 0.51/1.07 ( ( X186 ) !=
% 0.51/1.07 ( emptyset ) ) ) ) =>
% 0.51/1.07 ( ( ![X190:$i,
% 0.51/1.07 X192:$i]:
% 0.51/1.07 ( in @
% 0.51/1.07 X190 @
% 0.51/1.07 ( setadjoin
% 0.51/1.07 @
% 0.51/1.07 X190 @
% 0.51/1.07 X192 ) ) ) =>
% 0.51/1.07 ( ( in @
% 0.51/1.07 emptyset @
% 0.51/1.07 ( setadjoin
% 0.51/1.07 @
% 0.51/1.07 emptyset @
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% 0.51/1.08 (
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% 0.51/1.08 X340:$i,
% 0.51/1.08 X342:(
% 0.51/1.08 $i > $o )]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ~
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X344:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X342 @
% 0.51/1.08 X344 ) &
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X344 @
% 0.51/1.08 X340 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X346:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X346 @
% 0.51/1.08 X340 ) =>
% 0.51/1.08 (
% 0.51/1.08 ~
% 0.51/1.08 (
% 0.51/1.08 X342 @
% 0.51/1.08 X346 ) ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X348:$i,
% 0.51/1.08 X350:(
% 0.51/1.08 $i > $o )]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ~
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X352:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X352 @
% 0.51/1.08 X348 ) =>
% 0.51/1.08 (
% 0.51/1.08 X350 @
% 0.51/1.08 X352 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X354:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ~
% 0.51/1.08 (
% 0.51/1.08 X350 @
% 0.51/1.08 X354 ) ) &
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X354 @
% 0.51/1.08 X348 ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X356:(
% 0.51/1.08 $i > $o )]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X358:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X360:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X356 @
% 0.51/1.08 X360 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X358 ) =
% 0.51/1.08 (
% 0.51/1.08 X360 ) ) ) ) &
% 0.51/1.08 (
% 0.51/1.08 X356 @
% 0.51/1.08 X358 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X362:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X364:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X356 @
% 0.51/1.08 X364 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X362 ) =
% 0.51/1.08 (
% 0.51/1.08 X364 ) ) ) ) &
% 0.51/1.08 (
% 0.51/1.08 X356 @
% 0.51/1.08 X362 ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X366:(
% 0.51/1.08 $i > $o )]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X368:$i]:
% 0.51/1.08 (
% 0.51/1.08 X366 @
% 0.51/1.08 X368 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X370:$i,
% 0.51/1.08 X372:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X366 @
% 0.51/1.08 X370 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X366 @
% 0.51/1.08 X372 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X370 ) =
% 0.51/1.08 (
% 0.51/1.08 X372 ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X374:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X376:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X366 @
% 0.51/1.08 X376 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X374 ) =
% 0.51/1.08 (
% 0.51/1.08 X376 ) ) ) ) &
% 0.51/1.08 (
% 0.51/1.08 X366 @
% 0.51/1.08 X374 ) ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X378:(
% 0.51/1.08 $i > $o )]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X380:$i]:
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X382:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X378 @
% 0.51/1.08 X382 ) <=>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X382 ) =
% 0.51/1.08 (
% 0.51/1.08 X380 ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X384:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X386:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X378 @
% 0.51/1.08 X386 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X384 ) =
% 0.51/1.08 (
% 0.51/1.08 X386 ) ) ) ) &
% 0.51/1.08 (
% 0.51/1.08 X378 @
% 0.51/1.08 X384 ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X388:$i,
% 0.51/1.08 X390:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X388 ) =
% 0.51/1.08 (
% 0.51/1.08 X390 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X392:$i,
% 0.51/1.08 X394:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X392 ) =
% 0.51/1.08 (
% 0.51/1.08 X394 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X392 @
% 0.51/1.08 X388 ) =>
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X394 @
% 0.51/1.08 X390 ) ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X396:$i,
% 0.51/1.08 X398:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X396 ) =
% 0.51/1.08 (
% 0.51/1.08 X398 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X400:$i,
% 0.51/1.08 X402:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X400 ) =
% 0.51/1.08 (
% 0.51/1.08 X402 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X400 @
% 0.51/1.08 X396 ) <=>
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X402 @
% 0.51/1.08 X398 ) ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X404:(
% 0.51/1.08 $i > $o )]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X406:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X408:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X404 @
% 0.51/1.08 X408 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X406 ) =
% 0.51/1.08 (
% 0.51/1.08 X408 ) ) ) ) &
% 0.51/1.08 (
% 0.51/1.08 X404 @
% 0.51/1.08 X406 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X410:$i,
% 0.51/1.08 X412:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X404 @
% 0.51/1.08 X410 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X404 @
% 0.51/1.08 X412 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X410 ) =
% 0.51/1.08 (
% 0.51/1.08 X412 ) ) ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X414:(
% 0.51/1.08 $i > $o ),
% 0.51/1.08 X416:(
% 0.51/1.08 $i > $o )]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X418:$i,
% 0.51/1.08 X420:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X418 ) =
% 0.51/1.08 (
% 0.51/1.08 X420 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X414 @
% 0.51/1.08 X418 ) <=>
% 0.51/1.08 (
% 0.51/1.08 X416 @
% 0.51/1.08 X420 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X422:$i]:
% 0.51/1.08 (
% 0.51/1.08 zip_tseitin_5
% 0.51/1.08 @
% 0.51/1.08 X422 @
% 0.51/1.08 X414 ) ) <=>
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X426:$i]:
% 0.51/1.08 (
% 0.51/1.08 zip_tseitin_5
% 0.51/1.08 @
% 0.51/1.08 X426 @
% 0.51/1.08 X416 ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 emptyset ) =
% 0.51/1.08 (
% 0.51/1.08 emptyset ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X430:$i,
% 0.51/1.08 X432:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X430 ) =
% 0.51/1.08 (
% 0.51/1.08 X432 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X434:$i,
% 0.51/1.08 X436:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X434 ) =
% 0.51/1.08 (
% 0.51/1.08 X436 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 setadjoin
% 0.51/1.08 @
% 0.51/1.08 X430 @
% 0.51/1.08 X434 ) =
% 0.51/1.08 (
% 0.51/1.08 setadjoin
% 0.51/1.08 @
% 0.51/1.08 X432 @
% 0.51/1.08 X436 ) ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X438:$i,
% 0.51/1.08 X440:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X438 ) =
% 0.51/1.08 (
% 0.51/1.08 X440 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 powerset
% 0.51/1.08 @
% 0.51/1.08 X438 ) =
% 0.51/1.08 (
% 0.51/1.08 powerset
% 0.51/1.08 @
% 0.51/1.08 X440 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X442:$i,
% 0.51/1.08 X444:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X442 ) =
% 0.51/1.08 (
% 0.51/1.08 X444 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 setunion
% 0.51/1.08 @
% 0.51/1.08 X442 ) =
% 0.51/1.08 (
% 0.51/1.08 setunion
% 0.51/1.08 @
% 0.51/1.08 X444 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 omega ) =
% 0.51/1.08 (
% 0.51/1.08 omega ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X446:(
% 0.51/1.08 $i > $o )]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X448:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X450:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X446 @
% 0.51/1.08 X450 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X448 ) =
% 0.51/1.08 (
% 0.51/1.08 X450 ) ) ) ) &
% 0.51/1.08 (
% 0.51/1.08 X446 @
% 0.51/1.08 X448 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X452:$i,
% 0.51/1.08 X454:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X446 @
% 0.51/1.08 X452 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X446 @
% 0.51/1.08 X454 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X452 ) =
% 0.51/1.08 (
% 0.51/1.08 X454 ) ) ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X456:(
% 0.51/1.08 $i > $o ),
% 0.51/1.08 X458:(
% 0.51/1.08 $i > $o )]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X460:$i,
% 0.51/1.08 X462:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X460 ) =
% 0.51/1.08 (
% 0.51/1.08 X462 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X456 @
% 0.51/1.08 X460 ) <=>
% 0.51/1.08 (
% 0.51/1.08 X458 @
% 0.51/1.08 X462 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X464:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X466:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X456 @
% 0.51/1.08 X466 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X464 ) =
% 0.51/1.08 (
% 0.51/1.08 X466 ) ) ) ) &
% 0.51/1.08 (
% 0.51/1.08 X456 @
% 0.51/1.08 X464 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ?[
% 0.51/1.08 X468:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X470:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X458 @
% 0.51/1.08 X470 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X468 ) =
% 0.51/1.08 (
% 0.51/1.08 X470 ) ) ) ) &
% 0.51/1.08 (
% 0.51/1.08 X458 @
% 0.51/1.08 X468 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 descr @
% 0.51/1.08 (
% 0.51/1.08 ^[
% 0.51/1.08 V_9:$i]:
% 0.51/1.08 (
% 0.51/1.08 X456 @
% 0.51/1.08 V_9 ) ) ) =
% 0.51/1.08 (
% 0.51/1.08 descr @
% 0.51/1.08 (
% 0.51/1.08 ^[
% 0.51/1.08 V_10:$i]:
% 0.51/1.08 (
% 0.51/1.08 X458 @
% 0.51/1.08 V_10 ) ) ) ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X472:$i,
% 0.51/1.08 X474:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X472 ) =
% 0.51/1.08 (
% 0.51/1.08 X474 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X476:(
% 0.51/1.08 $i > $o ),
% 0.51/1.08 X478:(
% 0.51/1.08 $i > $o )]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X480:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X480 @
% 0.51/1.08 X472 ) =>
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X482:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X482 @
% 0.51/1.08 X474 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X480 ) =
% 0.51/1.08 (
% 0.51/1.08 X482 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X476 @
% 0.51/1.08 X480 ) <=>
% 0.51/1.08 (
% 0.51/1.08 X478 @
% 0.51/1.08 X482 ) ) ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 dsetconstr
% 0.51/1.08 @
% 0.51/1.08 X472 @
% 0.51/1.08 (
% 0.51/1.08 ^[
% 0.51/1.08 V_11:$i]:
% 0.51/1.08 (
% 0.51/1.08 X476 @
% 0.51/1.08 V_11 ) ) ) =
% 0.51/1.08 (
% 0.51/1.08 dsetconstr
% 0.51/1.08 @
% 0.51/1.08 X474 @
% 0.51/1.08 (
% 0.51/1.08 ^[
% 0.51/1.08 V_12:$i]:
% 0.51/1.08 (
% 0.51/1.08 X478 @
% 0.51/1.08 V_12 ) ) ) ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X484:$i,
% 0.51/1.08 X486:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X488:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X488 @
% 0.51/1.08 X484 ) =>
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X488 @
% 0.51/1.08 X486 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X484 @
% 0.51/1.08 X486 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X490:$i,
% 0.51/1.08 X492:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X490 ) =
% 0.51/1.08 (
% 0.51/1.08 X492 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X492 @
% 0.51/1.08 X490 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X494:$i,
% 0.51/1.08 X496:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X494 ) =
% 0.51/1.08 (
% 0.51/1.08 X496 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X494 @
% 0.51/1.08 X496 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X498:$i,
% 0.51/1.08 X500:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X502:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X502 @
% 0.51/1.08 X498 ) =>
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X502 @
% 0.51/1.08 X500 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X498 @
% 0.51/1.08 X500 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X504:$i]:
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 emptyset @
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% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X506:$i,
% 0.51/1.08 X508:$i,
% 0.51/1.08 X510:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X506 @
% 0.51/1.08 X508 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X510 @
% 0.51/1.08 X506 ) =>
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X510 @
% 0.51/1.08 X508 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X512:$i,
% 0.51/1.08 X514:$i,
% 0.51/1.08 X516:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X512 @
% 0.51/1.08 X514 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ~
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% 0.51/1.08 in @
% 0.51/1.08 X516 @
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% 0.51/1.08 (
% 0.51/1.08 ~
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X516 @
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% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X518:$i,
% 0.51/1.08 X520:$i,
% 0.51/1.08 X522:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X522 @
% 0.51/1.08 X518 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ~
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X522 @
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% 0.51/1.08 (
% 0.51/1.08 ~
% 0.51/1.08 (
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% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X524:$i,
% 0.51/1.08 X526:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ~
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X524 @
% 0.51/1.08 X526 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X524 ) !=
% 0.51/1.08 (
% 0.51/1.08 X526 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X528:$i,
% 0.51/1.08 X530:$i,
% 0.51/1.08 X532:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X532 @
% 0.51/1.08 X528 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ~
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X532 @
% 0.51/1.08 X530 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X528 ) !=
% 0.51/1.08 (
% 0.51/1.08 X530 ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X534:$i]:
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X534 @
% 0.51/1.08 X534 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X536:$i,
% 0.51/1.08 X538:$i,
% 0.51/1.08 X540:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X536 @
% 0.51/1.08 X538 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X538 @
% 0.51/1.08 X540 ) =>
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X536 @
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% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X542:$i,
% 0.51/1.08 X544:$i]:
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X544 @
% 0.51/1.08 (
% 0.51/1.08 setadjoin
% 0.51/1.08 @
% 0.51/1.08 X542 @
% 0.51/1.08 X544 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X546:$i,
% 0.51/1.08 X548:$i,
% 0.51/1.08 X550:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X546 @
% 0.51/1.08 X550 ) =>
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X546 @
% 0.51/1.08 (
% 0.51/1.08 setadjoin
% 0.51/1.08 @
% 0.51/1.08 X548 @
% 0.51/1.08 X550 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X552:$i,
% 0.51/1.08 X554:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X552 @
% 0.51/1.08 X554 ) =>
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X552 @
% 0.51/1.08 (
% 0.51/1.08 powerset
% 0.51/1.08 @
% 0.51/1.08 X554 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X556:$i,
% 0.51/1.08 X558:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X556 @
% 0.51/1.08 X558 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X558 @
% 0.51/1.08 X556 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X556 ) =
% 0.51/1.08 (
% 0.51/1.08 X558 ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X560:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X560 @
% 0.51/1.08 emptyset ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 X560 ) =
% 0.51/1.08 (
% 0.51/1.08 emptyset ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X562:$i,
% 0.51/1.08 X564:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X564 @
% 0.51/1.08 X562 ) =>
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X564 @
% 0.51/1.08 (
% 0.51/1.08 powerset
% 0.51/1.08 @
% 0.51/1.08 X562 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X566:$i,
% 0.51/1.08 X568:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X568 @
% 0.51/1.08 (
% 0.51/1.08 powerset
% 0.51/1.08 @
% 0.51/1.08 X566 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X568 @
% 0.51/1.08 X566 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X570:$i]:
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X570 @
% 0.51/1.08 (
% 0.51/1.08 powerset
% 0.51/1.08 @
% 0.51/1.08 X570 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X572:$i,
% 0.51/1.08 X574:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X572 @
% 0.51/1.08 X574 ) =>
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 (
% 0.51/1.08 powerset
% 0.51/1.08 @
% 0.51/1.08 X572 ) @
% 0.51/1.08 (
% 0.51/1.08 powerset
% 0.51/1.08 @
% 0.51/1.08 X574 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X576:$i,
% 0.51/1.08 X578:(
% 0.51/1.08 $i > $o )]:
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 (
% 0.51/1.08 dsetconstr
% 0.51/1.08 @
% 0.51/1.08 X576 @
% 0.51/1.08 (
% 0.51/1.08 ^[
% 0.51/1.08 V_13:$i]:
% 0.51/1.08 (
% 0.51/1.08 X578 @
% 0.51/1.08 V_13 ) ) ) @
% 0.51/1.08 (
% 0.51/1.08 powerset
% 0.51/1.08 @
% 0.51/1.08 X576 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X580:$i,
% 0.51/1.08 X582:(
% 0.51/1.08 $i > $o )]:
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 (
% 0.51/1.08 dsetconstr
% 0.51/1.08 @
% 0.51/1.08 X580 @
% 0.51/1.08 (
% 0.51/1.08 ^[
% 0.51/1.08 V_14:$i]:
% 0.51/1.08 (
% 0.51/1.08 X582 @
% 0.51/1.08 V_14 ) ) ) @
% 0.51/1.08 X580 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X584:$i,
% 0.51/1.08 X586:$i,
% 0.51/1.08 X588:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X588 @
% 0.51/1.08 X584 ) =>
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X588 @
% 0.51/1.08 (
% 0.51/1.08 binunion
% 0.51/1.08 @
% 0.51/1.08 X584 @
% 0.51/1.08 X586 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X590:$i,
% 0.51/1.08 X592:$i]:
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X592 @
% 0.51/1.08 (
% 0.51/1.08 setadjoin
% 0.51/1.08 @
% 0.51/1.08 X590 @
% 0.51/1.08 (
% 0.51/1.08 setadjoin
% 0.51/1.08 @
% 0.51/1.08 X592 @
% 0.51/1.08 emptyset ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X594:$i,
% 0.51/1.08 X596:$i,
% 0.51/1.08 X598:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X598 @
% 0.51/1.08 X596 ) =>
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X598 @
% 0.51/1.08 (
% 0.51/1.08 binunion
% 0.51/1.08 @
% 0.51/1.08 X594 @
% 0.51/1.08 X596 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X600:$i,
% 0.51/1.08 X602:$i,
% 0.51/1.08 X604:$i,
% 0.51/1.08 X606:$o]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X604 @
% 0.51/1.08 (
% 0.51/1.08 binunion
% 0.51/1.08 @
% 0.51/1.08 X600 @
% 0.51/1.08 X602 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X604 @
% 0.51/1.08 X600 ) =>
% 0.51/1.08 (
% 0.51/1.08 X606 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X604 @
% 0.51/1.08 X602 ) =>
% 0.51/1.08 (
% 0.51/1.08 X606 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 X606 ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X608:$i,
% 0.51/1.08 X610:$i,
% 0.51/1.08 X612:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X612 @
% 0.51/1.08 (
% 0.51/1.08 binunion
% 0.51/1.08 @
% 0.51/1.08 X608 @
% 0.51/1.08 X610 ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X612 @
% 0.51/1.08 X608 ) |
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X612 @
% 0.51/1.08 X610 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X614:$i,
% 0.51/1.08 X616:$i]:
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X614 @
% 0.51/1.08 (
% 0.51/1.08 binunion
% 0.51/1.08 @
% 0.51/1.08 X614 @
% 0.51/1.08 X616 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X618:$i,
% 0.51/1.08 X620:$i]:
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X620 @
% 0.51/1.08 (
% 0.51/1.08 binunion
% 0.51/1.08 @
% 0.51/1.08 X618 @
% 0.51/1.08 X620 ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X622:$i,
% 0.51/1.08 X624:$i,
% 0.51/1.08 X626:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X626 @
% 0.51/1.08 X622 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X626 @
% 0.51/1.08 X624 ) =>
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X626 @
% 0.51/1.08 (
% 0.51/1.08 dsetconstr
% 0.51/1.08 @
% 0.51/1.08 X622 @
% 0.51/1.08 (
% 0.51/1.08 ^[
% 0.51/1.08 V_15:$i]:
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 V_15 @
% 0.51/1.08 X624 ) ) ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X628:$i,
% 0.51/1.08 X630:$i,
% 0.51/1.08 X632:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X632 @
% 0.51/1.08 X628 ) =>
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X632 @
% 0.51/1.08 X630 ) =>
% 0.51/1.08 (
% 0.51/1.08 subset @
% 0.51/1.08 X632 @
% 0.51/1.08 (
% 0.51/1.08 dsetconstr
% 0.51/1.08 @
% 0.51/1.08 X628 @
% 0.51/1.08 (
% 0.51/1.08 ^[
% 0.51/1.08 V_16:$i]:
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 V_16 @
% 0.51/1.08 X630 ) ) ) ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 ![
% 0.51/1.08 X634:$i,
% 0.51/1.08 X636:$i,
% 0.51/1.08 X638:$i]:
% 0.51/1.08 (
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X638 @
% 0.51/1.08 (
% 0.51/1.08 dsetconstr
% 0.51/1.08 @
% 0.51/1.08 X634 @
% 0.51/1.08 (
% 0.51/1.08 ^[
% 0.51/1.08 V_17:$i]:
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 V_17 @
% 0.51/1.08 X636 ) ) ) ) =>
% 0.51/1.08 (
% 0.51/1.08 in @
% 0.51/1.08 X638 @
% 0.51/1.08 X634 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 0.51/1.08 inference('cnf.neg', [status(esa)], [zf_stmt_13])).
% 0.51/1.08 thf(zip_derived_cl116, plain, (~ (in @ sk__320 @ sk__318)),
% 0.51/1.08 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.51/1.08 thf(zip_derived_cl117, plain,
% 0.51/1.08 ( (in @ sk__320 @
% 0.51/1.08 (dsetconstr @ sk__318 @ (^[Y0 : $i]: (in @ Y0 @ sk__319))))),
% 0.51/1.08 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.51/1.08 thf(zip_derived_cl200, plain,
% 0.51/1.08 (![X252 : $i, X253 : $i, X254 : $i > $o]:
% 0.51/1.08 ( (in @ X252 @ X253)
% 0.51/1.08 | ~ (in @ X252 @ (dsetconstr @ X253 @ (^[Y0 : $i]: (X254 @ Y0)))))),
% 0.51/1.08 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.51/1.08 thf(zip_derived_cl233, plain,
% 0.51/1.08 (![X252 : $i, X253 : $i, X254 : $i > $o]:
% 0.51/1.08 ( (in @ X252 @ X253) | ~ (in @ X252 @ (dsetconstr @ X253 @ X254)))),
% 0.51/1.08 inference('ho_norm', [status(thm)], [zip_derived_cl200])).
% 0.51/1.08 thf(zip_derived_cl271, plain, ( (in @ sk__320 @ sk__318)),
% 0.51/1.08 inference('sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl233])).
% 0.51/1.08 thf(zip_derived_cl304, plain, ($false),
% 0.51/1.08 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl271])).
% 0.51/1.08
% 0.51/1.08 % SZS output end Refutation
% 0.51/1.08
% 0.51/1.08
% 0.51/1.08 % Terminating...
% 1.84/1.21 % Runner terminated.
% 1.84/1.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------