0.12/0.64 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.16/0.73 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VWhMY3bLZY true 0.19/1.11 % Computer : n014.cluster.edu 0.19/1.11 % Model : x86_64 x86_64 0.19/1.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.19/1.11 % Memory : 8042.1875MB 0.19/1.11 % OS : Linux 3.10.0-693.el7.x86_64 0.19/1.11 % CPULimit : 1440 0.19/1.11 % WCLimit : 180 0.19/1.11 % DateTime : Thu Jul 4 08:30:54 EDT 2024 0.19/1.12 % CPUTime : 0.19/1.12 % Running portfolio for 1440 s 0.19/1.12 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.19/1.12 % Number of cores: 8 0.19/1.13 % Python version: Python 3.6.8 0.19/1.13 % Running in HO mode 0.22/1.55 % Total configuration time : 828 0.22/1.55 % Estimated wc time : 1656 0.22/1.55 % Estimated cpu time (8 cpus) : 207.0 1.10/1.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 1.10/1.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 1.38/1.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 1.48/1.84 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 1.48/1.85 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 1.53/1.95 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 1.55/1.97 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 1.55/1.99 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 49.03/9.97 % Solved by lams/15_e_short1.sh. 49.03/9.97 % done 1 iterations in 7.912s 49.03/9.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 49.03/9.97 % SZS output start Refutation 49.03/9.97 thf(setadjoinAx_type, type, setadjoinAx: $o). 49.03/9.97 thf(notdexE_type, type, notdexE: $o). 49.03/9.97 thf(setunionAx_type, type, setunionAx: $o). 49.03/9.97 thf(setminusELneg_type, type, setminusELneg: $o). 49.03/9.97 thf(powersetE_type, type, powersetE: $o). 49.03/9.97 thf(omegaSAx_type, type, omegaSAx: $o). 49.03/9.97 thf(exuI1_type, type, exuI1: $o). 49.03/9.97 thf(exuI2_type, type, exuI2: $o). 49.03/9.97 thf(notequalI2_type, type, notequalI2: $o). 49.03/9.97 thf(powerset__Cong_type, type, powerset__Cong: $o). 49.03/9.97 thf(setminusILneg_type, type, setminusILneg: $o). 49.03/9.97 thf(wellorderingAx_type, type, wellorderingAx: $o). 49.03/9.97 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 49.03/9.97 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 49.03/9.97 thf(setoftrueEq_type, type, setoftrueEq: $o). 49.03/9.97 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 49.03/9.97 thf(sepInPowerset_type, type, sepInPowerset: $o). 49.03/9.97 thf(binunionE_type, type, binunionE: $o). 49.03/9.97 thf(setext_type, type, setext: $o). 49.03/9.97 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 49.03/9.97 thf(descr__Cong_type, type, descr__Cong: $o). 49.03/9.97 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 49.03/9.97 thf(in_type, type, in: $i > $i > $o). 49.03/9.97 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 49.03/9.97 thf(binunion_type, type, binunion: $i > $i > $i). 49.03/9.97 thf(setadjoinIR_type, type, setadjoinIR: $o). 49.03/9.97 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 49.03/9.97 thf(upairset2IR_type, type, upairset2IR: $o). 49.03/9.97 thf(subsetE_type, type, subsetE: $o). 49.03/9.97 thf(prop2set2propI_type, type, prop2set2propI: $o). 49.03/9.97 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 49.03/9.97 thf(setbeta_type, type, setbeta: $o). 49.03/9.97 thf(eqinunit_type, type, eqinunit: $o). 49.03/9.97 thf(upairsetIL_type, type, upairsetIL: $o). 49.03/9.97 thf(powersetI1_type, type, powersetI1: $o). 49.03/9.97 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 49.03/9.97 thf(setminusIRneg_type, type, setminusIRneg: $o). 49.03/9.97 thf(powersetAx_type, type, powersetAx: $o). 49.03/9.97 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 49.03/9.97 thf(powersetI_type, type, powersetI: $o). 49.03/9.97 thf(upairsetIR_type, type, upairsetIR: $o). 49.03/9.97 thf(inCongP_type, type, inCongP: $o). 49.03/9.97 thf(setadjoinSub_type, type, setadjoinSub: $o). 49.03/9.97 thf(exuE3e_type, type, exuE3e: $o). 49.03/9.97 thf(emptysetE_type, type, emptysetE: $o). 49.03/9.97 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 49.03/9.97 thf(setunionI_type, type, setunionI: $o). 49.03/9.97 thf(setunion__Cong_type, type, setunion__Cong: $o). 49.03/9.97 thf(prop2setI_type, type, prop2setI: $o). 49.03/9.97 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 49.03/9.97 thf(setminusER_type, type, setminusER: $o). 49.03/9.97 thf(exuE2_type, type, exuE2: $o). 49.03/9.97 thf(emptyset_type, type, emptyset: $i). 49.03/9.97 thf(setminus_type, type, setminus: $i > $i > $i). 49.03/9.97 thf(powersetsubset_type, type, powersetsubset: $o). 49.03/9.97 thf(subPowSU_type, type, subPowSU: $o). 49.03/9.97 thf(notequalI1_type, type, notequalI1: $o). 49.03/9.97 thf(notinemptyset_type, type, notinemptyset: $o). 49.03/9.97 thf(nonemptyI1_type, type, nonemptyI1: $o). 49.03/9.97 thf(subsetTrans_type, type, subsetTrans: $o). 49.03/9.97 thf(setminusI_type, type, setminusI: $o). 49.03/9.97 thf(binunionIL_type, type, binunionIL: $o). 49.03/9.97 thf(subsetE2_type, type, subsetE2: $o). 49.03/9.97 thf(singletonsswitch_type, type, singletonsswitch: $o). 49.03/9.97 thf(setextsub_type, type, setextsub: $o). 49.03/9.97 thf(binunionLsub_type, type, binunionLsub: $o). 49.03/9.97 thf(binintersect_type, type, binintersect: $i > $i > $i). 49.03/9.97 thf(emptysetsubset_type, type, emptysetsubset: $o). 49.03/9.97 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 49.03/9.97 thf(setunionE_type, type, setunionE: $o). 49.03/9.97 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 49.03/9.97 thf(binunionIR_type, type, binunionIR: $o). 49.03/9.97 thf(setadjoinE_type, type, setadjoinE: $o). 49.03/9.97 thf(descr_type, type, descr: ($i > $o) > $i). 49.03/9.97 thf(setadjoinIL_type, type, setadjoinIL: $o). 49.03/9.97 thf(exuE1_type, type, exuE1: $o). 49.03/9.97 thf(binintersectRsub_type, type, binintersectRsub: $o). 49.03/9.97 thf(setminusLsub_type, type, setminusLsub: $o). 49.03/9.97 thf(prop2set_type, type, prop2set: $o > $i). 49.03/9.97 thf(notinsingleton_type, type, notinsingleton: $o). 49.03/9.97 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 49.03/9.97 thf(exuEu_type, type, exuEu: $o). 49.03/9.97 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 49.03/9.97 thf(upairsetE_type, type, upairsetE: $o). 49.03/9.97 thf(omega0Ax_type, type, omega0Ax: $o). 49.03/9.98 thf(notsubsetI_type, type, notsubsetI: $o). 49.03/9.98 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 49.03/9.98 thf(setextAx_type, type, setextAx: $o). 49.03/9.98 thf(powersetE1_type, type, powersetE1: $o). 49.03/9.98 thf(bs114d_type, type, bs114d: $o). 49.03/9.98 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 49.03/9.98 thf(setunion_type, type, setunion: $i > $i). 49.03/9.98 thf(binintersectLsub_type, type, binintersectLsub: $o). 49.03/9.98 thf(subsetI1_type, type, subsetI1: $o). 49.03/9.98 thf(descrp_type, type, descrp: $o). 49.03/9.98 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 49.03/9.98 thf(foundationAx_type, type, foundationAx: $o). 49.03/9.98 thf(emptysetAx_type, type, emptysetAx: $o). 49.03/9.98 thf(emptyI_type, type, emptyI: $o). 49.03/9.98 thf(setadjoinOr_type, type, setadjoinOr: $o). 49.03/9.98 thf(binintersectEL_type, type, binintersectEL: $o). 49.03/9.98 thf(emptyE1_type, type, emptyE1: $o). 49.03/9.98 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 49.03/9.98 thf(vacuousDall_type, type, vacuousDall: $o). 49.03/9.98 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 49.03/9.98 thf(dsetconstrER_type, type, dsetconstrER: $o). 49.03/9.98 thf(exu_type, type, exu: ($i > $o) > $o). 49.03/9.98 thf(binintersectI_type, type, binintersectI: $o). 49.03/9.98 thf(subsetI2_type, type, subsetI2: $o). 49.03/9.98 thf(setminusERneg_type, type, setminusERneg: $o). 49.03/9.98 thf(omega__Cong_type, type, omega__Cong: $o). 49.03/9.98 thf(subsetRefl_type, type, subsetRefl: $o). 49.03/9.98 thf(uniqinunit_type, type, uniqinunit: $o). 49.03/9.98 thf(setminusSubset2_type, type, setminusSubset2: $o). 49.03/9.98 thf(prop2setE_type, type, prop2setE: $o). 49.03/9.98 thf(binunionEcases_type, type, binunionEcases: $o). 49.03/9.98 thf(omega_type, type, omega: $i). 49.03/9.98 thf(nonemptyI_type, type, nonemptyI: $o). 49.03/9.98 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 49.03/9.98 thf(exuE3u_type, type, exuE3u: $o). 49.03/9.98 thf(setminusEL_type, type, setminusEL: $o). 49.03/9.98 thf(sepSubset_type, type, sepSubset: $o). 49.03/9.98 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 49.03/9.98 thf(exuI3_type, type, exuI3: $o). 49.03/9.98 thf(notdallE_type, type, notdallE: $o). 49.03/9.98 thf(binintersectER_type, type, binintersectER: $o). 49.03/9.98 thf(powerset_type, type, powerset: $i > $i). 49.03/9.98 thf(dsetconstrI_type, type, dsetconstrI: $o). 49.03/9.98 thf(nonempty_type, type, nonempty: $i > $o). 49.03/9.98 thf(set2prop_type, type, set2prop: $i > $o). 49.03/9.98 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 49.03/9.98 thf(exu__Cong_type, type, exu__Cong: $o). 49.03/9.98 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 49.03/9.98 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 49.03/9.98 thf(replAx_type, type, replAx: $o). 49.03/9.98 thf(nonemptyE1_type, type, nonemptyE1: $o). 49.03/9.98 thf(omegaIndAx_type, type, omegaIndAx: $o). 49.03/9.98 thf(inPowerset_type, type, inPowerset: $o). 49.03/9.98 thf(subset_type, type, subset: $i > $i > $o). 49.03/9.98 thf(in__Cong_type, type, in__Cong: $o). 49.03/9.98 thf(binunionRsub_type, type, binunionRsub: $o). 49.03/9.98 thf(subset2powerset_type, type, subset2powerset: $o). 49.03/9.98 thf(setminusLsub, axiom, setminusLsub = 49.03/9.98 (![A:$i,B:$i]: ( subset @ ( setminus @ A @ B ) @ A ))). 49.03/9.98 thf('0', plain, 49.03/9.98 (( setminusLsub ) = 49.03/9.98 ( ![X4:$i,X6:$i]: ( subset @ ( setminus @ X4 @ X6 ) @ X4 ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setminusIRneg, axiom, setminusIRneg = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 49.03/9.98 thf('1', plain, 49.03/9.98 (( setminusIRneg ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setminusILneg, axiom, setminusILneg = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( ~( in @ Xx @ A ) ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 49.03/9.98 thf('2', plain, 49.03/9.98 (( setminusILneg ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( ~( in @ X8 @ X4 ) ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setminusELneg, axiom, setminusELneg = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 49.03/9.98 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 49.03/9.98 thf('3', plain, 49.03/9.98 (( setminusELneg ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 49.03/9.98 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setminusERneg, axiom, setminusERneg = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 49.03/9.98 ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 49.03/9.98 thf('4', plain, 49.03/9.98 (( setminusERneg ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 49.03/9.98 ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setminusSubset2, axiom, setminusSubset2 = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( subset @ A @ B ) => ( ( setminus @ A @ B ) = ( emptyset ) ) ))). 49.03/9.98 thf('5', plain, 49.03/9.98 (( setminusSubset2 ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( subset @ X4 @ X6 ) => ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setminusER, axiom, setminusER = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( ~( in @ Xx @ B ) ) ))). 49.03/9.98 thf('6', plain, 49.03/9.98 (( setminusER ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( ~( in @ X8 @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setminusEL, axiom, setminusEL = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))). 49.03/9.98 thf('7', plain, 49.03/9.98 (( setminusEL ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setminusI, axiom, setminusI = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ A ) => 49.03/9.98 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 49.03/9.98 thf('8', plain, 49.03/9.98 (( setminusI ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ X4 ) => 49.03/9.98 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(bs114d, axiom, bs114d = 49.03/9.98 (![A:$i,B:$i,C:$i]: 49.03/9.98 ( ( binintersect @ A @ ( binunion @ B @ C ) ) = 49.03/9.98 ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ))). 49.03/9.98 thf('9', plain, 49.03/9.98 (( bs114d ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( binintersect @ X4 @ ( binunion @ X6 @ X8 ) ) = 49.03/9.98 ( binunion @ ( binintersect @ X4 @ X6 ) @ ( binintersect @ X4 @ X8 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binintersectSubset1, axiom, binintersectSubset1 = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( ( binintersect @ A @ B ) = ( A ) ) => ( subset @ A @ B ) ))). 49.03/9.98 thf('10', plain, 49.03/9.98 (( binintersectSubset1 ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) => ( subset @ X4 @ X6 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binintersectSubset4, axiom, binintersectSubset4 = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( subset @ B @ A ) => ( ( binintersect @ A @ B ) = ( B ) ) ))). 49.03/9.98 thf('11', plain, 49.03/9.98 (( binintersectSubset4 ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( subset @ X6 @ X4 ) => ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binintersectRsub, axiom, binintersectRsub = 49.03/9.98 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ B ))). 49.03/9.98 thf('12', plain, 49.03/9.98 (( binintersectRsub ) = 49.03/9.98 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X6 ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(disjointsetsI1, axiom, disjointsetsI1 = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ B ) & ( in @ Xx @ A ) ) ) ) => 49.03/9.98 ( ( binintersect @ A @ B ) = ( emptyset ) ) ))). 49.03/9.98 thf('13', plain, 49.03/9.98 (( disjointsetsI1 ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ~( ?[X8:$i]: ( ( in @ X8 @ X6 ) & ( in @ X8 @ X4 ) ) ) ) => 49.03/9.98 ( ( binintersect @ X4 @ X6 ) = ( emptyset ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binintersectER, axiom, binintersectER = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ B ) ))). 49.03/9.98 thf('14', plain, 49.03/9.98 (( binintersectER ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X6 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binintersectSubset3, axiom, binintersectSubset3 = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( ( binintersect @ A @ B ) = ( B ) ) => ( subset @ B @ A ) ))). 49.03/9.98 thf('15', plain, 49.03/9.98 (( binintersectSubset3 ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binintersectSubset2, axiom, binintersectSubset2 = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( subset @ A @ B ) => ( ( binintersect @ A @ B ) = ( A ) ) ))). 49.03/9.98 thf('16', plain, 49.03/9.98 (( binintersectSubset2 ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( subset @ X4 @ X6 ) => ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binintersectLsub, axiom, binintersectLsub = 49.03/9.98 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ A ))). 49.03/9.98 thf('17', plain, 49.03/9.98 (( binintersectLsub ) = 49.03/9.98 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binintersectEL, axiom, binintersectEL = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ A ) ))). 49.03/9.98 thf('18', plain, 49.03/9.98 (( binintersectEL ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binintersectSubset5, axiom, binintersectSubset5 = 49.03/9.98 (![A:$i,B:$i,C:$i]: 49.03/9.98 ( ( subset @ C @ A ) => 49.03/9.98 ( ( subset @ C @ B ) => ( subset @ C @ ( binintersect @ A @ B ) ) ) ))). 49.03/9.98 thf('19', plain, 49.03/9.98 (( binintersectSubset5 ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( subset @ X8 @ X4 ) => 49.03/9.98 ( ( subset @ X8 @ X6 ) => 49.03/9.98 ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binintersectI, axiom, binintersectI = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ A ) => 49.03/9.98 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))). 49.03/9.98 thf('20', plain, 49.03/9.98 (( binintersectI ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ X4 ) => 49.03/9.98 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binunionRsub, axiom, binunionRsub = 49.03/9.98 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 49.03/9.98 thf('21', plain, 49.03/9.98 (( binunionRsub ) = 49.03/9.98 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binunionLsub, axiom, binunionLsub = 49.03/9.98 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 49.03/9.98 thf('22', plain, 49.03/9.98 (( binunionLsub ) = 49.03/9.98 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binunionE, axiom, binunionE = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 49.03/9.98 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 49.03/9.98 thf('23', plain, 49.03/9.98 (( binunionE ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 49.03/9.98 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binunionEcases, axiom, binunionEcases = 49.03/9.98 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 49.03/9.98 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 49.03/9.98 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 49.03/9.98 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 49.03/9.98 thf('24', plain, 49.03/9.98 (( binunionEcases ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 49.03/9.98 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 49.03/9.98 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 49.03/9.98 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binunionIR, axiom, binunionIR = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 49.03/9.98 thf('25', plain, 49.03/9.98 (( binunionIR ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(upairset2IR, axiom, upairset2IR = 49.03/9.98 (![Xx:$i,Xy:$i]: 49.03/9.98 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 49.03/9.98 thf('26', plain, 49.03/9.98 (( upairset2IR ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(binunionIL, axiom, binunionIL = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 49.03/9.98 thf('27', plain, 49.03/9.98 (( binunionIL ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(sepSubset, axiom, sepSubset = 49.03/9.98 (![A:$i,Xphi:( $i > $o )]: 49.03/9.98 ( subset @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ A ))). 49.03/9.98 thf('28', plain, 49.03/9.98 (( sepSubset ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o )]: 49.03/9.98 ( subset @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ X4 ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(sepInPowerset, axiom, sepInPowerset = 49.03/9.98 (![A:$i,Xphi:( $i > $o )]: 49.03/9.98 ( in @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ ( powerset @ A ) ))). 49.03/9.98 thf('29', plain, 49.03/9.98 (( sepInPowerset ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o )]: 49.03/9.98 ( in @ 49.03/9.98 ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ 49.03/9.98 ( powerset @ X4 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(powersetsubset, axiom, powersetsubset = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 49.03/9.98 thf('30', plain, 49.03/9.98 (( powersetsubset ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( subset @ X4 @ X6 ) => 49.03/9.98 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 49.03/9.98 thf('31', plain, 49.03/9.98 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(powersetE1, axiom, powersetE1 = 49.03/9.98 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 49.03/9.98 thf('32', plain, 49.03/9.98 (( powersetE1 ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(powersetI1, axiom, powersetI1 = 49.03/9.98 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 49.03/9.98 thf('33', plain, 49.03/9.98 (( powersetI1 ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 49.03/9.98 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 49.03/9.98 thf('34', plain, 49.03/9.98 (( subsetemptysetimpeq ) = 49.03/9.98 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setextsub, axiom, setextsub = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 49.03/9.98 thf('35', plain, 49.03/9.98 (( setextsub ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( subset @ X4 @ X6 ) => 49.03/9.98 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(subset2powerset, axiom, subset2powerset = 49.03/9.98 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 49.03/9.98 thf('36', plain, 49.03/9.98 (( subset2powerset ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setadjoinSub2, axiom, setadjoinSub2 = 49.03/9.98 (![A:$i,Xx:$i,B:$i]: 49.03/9.98 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 49.03/9.98 thf('37', plain, 49.03/9.98 (( setadjoinSub2 ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setadjoinSub, axiom, setadjoinSub = 49.03/9.98 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 49.03/9.98 thf('38', plain, 49.03/9.98 (( setadjoinSub ) = 49.03/9.98 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(subsetTrans, axiom, subsetTrans = 49.03/9.98 (![A:$i,B:$i,C:$i]: 49.03/9.98 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 49.03/9.98 thf('39', plain, 49.03/9.98 (( subsetTrans ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( subset @ X4 @ X6 ) => 49.03/9.98 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 49.03/9.98 thf('40', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(notequalI2, axiom, notequalI2 = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))). 49.03/9.98 thf('41', plain, 49.03/9.98 (( notequalI2 ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ X4 ) => 49.03/9.98 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(notequalI1, axiom, notequalI1 = 49.03/9.98 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 49.03/9.98 thf('42', plain, 49.03/9.98 (( notequalI1 ) = 49.03/9.98 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(notsubsetI, axiom, notsubsetI = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 49.03/9.98 thf('43', plain, 49.03/9.98 (( notsubsetI ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ X4 ) => 49.03/9.98 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(subsetE2, axiom, subsetE2 = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 49.03/9.98 thf('44', plain, 49.03/9.98 (( subsetE2 ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( subset @ X4 @ X6 ) => 49.03/9.98 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(subsetE, axiom, subsetE = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 49.03/9.98 thf('45', plain, 49.03/9.98 (( subsetE ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(emptysetsubset, axiom, emptysetsubset = 49.03/9.98 (![A:$i]: ( subset @ emptyset @ A ))). 49.03/9.98 thf('46', plain, 49.03/9.98 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(subsetI2, axiom, subsetI2 = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 49.03/9.98 ( subset @ A @ B ) ))). 49.03/9.98 thf('47', plain, 49.03/9.98 (( subsetI2 ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 49.03/9.98 ( subset @ X4 @ X6 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(eqimpsubset1, axiom, eqimpsubset1 = 49.03/9.98 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 49.03/9.98 thf('48', plain, 49.03/9.98 (( eqimpsubset1 ) = 49.03/9.98 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(eqimpsubset2, axiom, eqimpsubset2 = 49.03/9.98 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 49.03/9.98 thf('49', plain, 49.03/9.98 (( eqimpsubset2 ) = 49.03/9.98 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(subsetI1, axiom, subsetI1 = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 49.03/9.98 ( subset @ A @ B ) ))). 49.03/9.98 thf('50', plain, 49.03/9.98 (( subsetI1 ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 49.03/9.98 ( subset @ X4 @ X6 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(dsetconstr__Cong, axiom, dsetconstr__Cong = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( ( A ) = ( B ) ) => 49.03/9.98 ( ![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 49.03/9.98 ( ( ![Xx:$i]: 49.03/9.98 ( ( in @ Xx @ A ) => 49.03/9.98 ( ![Xy:$i]: 49.03/9.98 ( ( in @ Xy @ B ) => 49.03/9.98 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) ) ) ) => 49.03/9.98 ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 49.03/9.98 ( dsetconstr @ B @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 49.03/9.98 thf('51', plain, 49.03/9.98 (( dsetconstr__Cong ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ( X4 ) = ( X6 ) ) => 49.03/9.98 ( ![X8:( $i > $o ),X10:( $i > $o )]: 49.03/9.98 ( ( ![X12:$i]: 49.03/9.98 ( ( in @ X12 @ X4 ) => 49.03/9.98 ( ![X14:$i]: 49.03/9.98 ( ( in @ X14 @ X6 ) => 49.03/9.98 ( ( ( X12 ) = ( X14 ) ) => 49.03/9.98 ( ( X8 @ X12 ) <=> ( X10 @ X14 ) ) ) ) ) ) ) => 49.03/9.98 ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) = 49.03/9.98 ( dsetconstr @ X6 @ ( ^[V_2:$i]: ( X10 @ V_2 ) ) ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(descr__Cong, axiom, descr__Cong = 49.03/9.98 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 49.03/9.98 ( ( ![Xx:$i,Xy:$i]: 49.03/9.98 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 49.03/9.98 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 49.03/9.98 ( ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) => 49.03/9.98 ( ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 49.03/9.98 ( descr @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 49.03/9.98 thf('52', plain, 49.03/9.98 (( descr__Cong ) = 49.03/9.98 ( ![X4:( $i > $o ),X6:( $i > $o )]: 49.03/9.98 ( ( ![X8:$i,X10:$i]: 49.03/9.98 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 49.03/9.98 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 49.03/9.98 ( ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) => 49.03/9.98 ( ( descr @ ( ^[V_3:$i]: ( X4 @ V_3 ) ) ) = 49.03/9.98 ( descr @ ( ^[V_4:$i]: ( X6 @ V_4 ) ) ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(exuEu, axiom, exuEu = 49.03/9.98 (![Xphi:( $i > $o )]: 49.03/9.98 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 49.03/9.98 ( ![Xx:$i,Xy:$i]: 49.03/9.98 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 49.03/9.98 thf('53', plain, 49.03/9.98 (( exuEu ) = 49.03/9.98 ( ![X4:( $i > $o )]: 49.03/9.98 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 49.03/9.98 ( ![X6:$i,X8:$i]: 49.03/9.98 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(omega__Cong, axiom, omega__Cong = (( omega ) = ( omega ))). 49.03/9.98 thf('54', plain, (( omega__Cong ) = ( ( omega ) = ( omega ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setunion__Cong, axiom, setunion__Cong = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( ( A ) = ( B ) ) => ( ( setunion @ A ) = ( setunion @ B ) ) ))). 49.03/9.98 thf('55', plain, 49.03/9.98 (( setunion__Cong ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ( X4 ) = ( X6 ) ) => ( ( setunion @ X4 ) = ( setunion @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(powerset__Cong, axiom, powerset__Cong = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 49.03/9.98 thf('56', plain, 49.03/9.98 (( powerset__Cong ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setadjoin__Cong, axiom, setadjoin__Cong = 49.03/9.98 (![Xx:$i,Xy:$i]: 49.03/9.98 ( ( ( Xx ) = ( Xy ) ) => 49.03/9.98 ( ![Xz:$i,Xu:$i]: 49.03/9.98 ( ( ( Xz ) = ( Xu ) ) => 49.03/9.98 ( ( setadjoin @ Xx @ Xz ) = ( setadjoin @ Xy @ Xu ) ) ) ) ))). 49.03/9.98 thf('57', plain, 49.03/9.98 (( setadjoin__Cong ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ( X4 ) = ( X6 ) ) => 49.03/9.98 ( ![X8:$i,X10:$i]: 49.03/9.98 ( ( ( X8 ) = ( X10 ) ) => 49.03/9.98 ( ( setadjoin @ X4 @ X8 ) = ( setadjoin @ X6 @ X10 ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(emptyset__Cong, axiom, emptyset__Cong = (( emptyset ) = ( emptyset ))). 49.03/9.98 thf('58', plain, (( emptyset__Cong ) = ( ( emptyset ) = ( emptyset ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(exu__Cong, axiom, exu__Cong = 49.03/9.98 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 49.03/9.98 ( ( ![Xx:$i,Xy:$i]: 49.03/9.98 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 49.03/9.98 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) <=> 49.03/9.98 ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ))). 49.03/9.98 thf('59', plain, 49.03/9.98 (( exu__Cong ) = 49.03/9.98 ( ![X4:( $i > $o ),X6:( $i > $o )]: 49.03/9.98 ( ( ![X8:$i,X10:$i]: 49.03/9.98 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 49.03/9.98 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) <=> 49.03/9.98 ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(exuE3u, axiom, exuE3u = 49.03/9.98 (![Xphi:( $i > $o )]: 49.03/9.98 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 49.03/9.98 ( ![Xx:$i,Xy:$i]: 49.03/9.98 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 49.03/9.98 thf('60', plain, 49.03/9.98 (( exuE3u ) = 49.03/9.98 ( ![X4:( $i > $o )]: 49.03/9.98 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 49.03/9.98 ( ![X6:$i,X8:$i]: 49.03/9.98 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(in__Cong, axiom, in__Cong = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( ( A ) = ( B ) ) => 49.03/9.98 ( ![Xx:$i,Xy:$i]: 49.03/9.98 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))). 49.03/9.98 thf('61', plain, 49.03/9.98 (( in__Cong ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ( X4 ) = ( X6 ) ) => 49.03/9.98 ( ![X8:$i,X10:$i]: 49.03/9.98 ( ( ( X8 ) = ( X10 ) ) => 49.03/9.98 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(inCongP, axiom, inCongP = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( ( A ) = ( B ) ) => 49.03/9.98 ( ![Xx:$i,Xy:$i]: 49.03/9.98 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))). 49.03/9.98 thf('62', plain, 49.03/9.98 (( inCongP ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ( X4 ) = ( X6 ) ) => 49.03/9.98 ( ![X8:$i,X10:$i]: 49.03/9.98 ( ( ( X8 ) = ( X10 ) ) => 49.03/9.98 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(exuI2, axiom, exuI2 = 49.03/9.98 (![Xphi:( $i > $o )]: 49.03/9.98 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) => 49.03/9.98 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 49.03/9.98 thf('63', plain, 49.03/9.98 (( exuI2 ) = 49.03/9.98 ( ![X4:( $i > $o )]: 49.03/9.98 ( ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) => 49.03/9.98 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(exuI3, axiom, exuI3 = 49.03/9.98 (![Xphi:( $i > $o )]: 49.03/9.98 ( ( ?[Xx:$i]: ( Xphi @ Xx ) ) => 49.03/9.98 ( ( ![Xx:$i,Xy:$i]: 49.03/9.98 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) => 49.03/9.98 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 49.03/9.98 thf('64', plain, 49.03/9.98 (( exuI3 ) = 49.03/9.98 ( ![X4:( $i > $o )]: 49.03/9.98 ( ( ?[X6:$i]: ( X4 @ X6 ) ) => 49.03/9.98 ( ( ![X8:$i,X10:$i]: 49.03/9.98 ( ( X4 @ X8 ) => ( ( X4 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) => 49.03/9.98 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(exuI1, axiom, exuI1 = 49.03/9.98 (![Xphi:( $i > $o )]: 49.03/9.98 ( ( ?[Xx:$i]: 49.03/9.98 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 49.03/9.98 ( Xphi @ Xx ) ) ) => 49.03/9.98 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 49.03/9.98 thf('65', plain, 49.03/9.98 (( exuI1 ) = 49.03/9.98 ( ![X4:( $i > $o )]: 49.03/9.98 ( ( ?[X6:$i]: 49.03/9.98 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 49.03/9.98 ( X4 @ X6 ) ) ) => 49.03/9.98 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(notdallE, axiom, notdallE = 49.03/9.98 (![A:$i,Xphi:( $i > $o )]: 49.03/9.98 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 49.03/9.98 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 49.03/9.98 thf('66', plain, 49.03/9.98 (( notdallE ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o )]: 49.03/9.98 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 49.03/9.98 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(notdexE, axiom, notdexE = 49.03/9.98 (![A:$i,Xphi:( $i > $o )]: 49.03/9.98 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 49.03/9.98 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 49.03/9.98 thf('67', plain, 49.03/9.98 (( notdexE ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o )]: 49.03/9.98 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 49.03/9.98 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(prop2set2propI, axiom, prop2set2propI = 49.03/9.98 (![Xphi:$o]: ( ( Xphi ) => ( set2prop @ ( prop2set @ Xphi ) ) ))). 49.03/9.98 thf('68', plain, 49.03/9.98 (( prop2set2propI ) = 49.03/9.98 ( ![X4:$o]: ( ( X4 ) => ( set2prop @ ( prop2set @ X4 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(prop2setI, axiom, prop2setI = 49.03/9.98 (![Xphi:$o]: ( ( Xphi ) => ( in @ emptyset @ ( prop2set @ Xphi ) ) ))). 49.03/9.98 thf('69', plain, 49.03/9.98 (( prop2setI ) = 49.03/9.98 ( ![X4:$o]: ( ( X4 ) => ( in @ emptyset @ ( prop2set @ X4 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(quantDeMorgan4, axiom, quantDeMorgan4 = 49.03/9.98 (![A:$i,Xphi:( $i > $o )]: 49.03/9.98 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) => 49.03/9.98 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))). 49.03/9.98 thf('70', plain, 49.03/9.98 (( quantDeMorgan4 ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o )]: 49.03/9.98 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) => 49.03/9.98 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(quantDeMorgan3, axiom, quantDeMorgan3 = 49.03/9.98 (![A:$i,Xphi:( $i > $o )]: 49.03/9.98 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 49.03/9.98 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 49.03/9.98 thf('71', plain, 49.03/9.98 (( quantDeMorgan3 ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o )]: 49.03/9.98 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 49.03/9.98 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(quantDeMorgan2, axiom, quantDeMorgan2 = 49.03/9.98 (![A:$i,Xphi:( $i > $o )]: 49.03/9.98 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) => 49.03/9.98 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))). 49.03/9.98 thf('72', plain, 49.03/9.98 (( quantDeMorgan2 ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o )]: 49.03/9.98 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) => 49.03/9.98 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(quantDeMorgan1, axiom, quantDeMorgan1 = 49.03/9.98 (![A:$i,Xphi:( $i > $o )]: 49.03/9.98 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 49.03/9.98 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 49.03/9.98 thf('73', plain, 49.03/9.98 (( quantDeMorgan1 ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o )]: 49.03/9.98 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 49.03/9.98 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(vacuousDall, axiom, vacuousDall = 49.03/9.98 (![Xphi:( $i > $o ),Xx:$i]: ( ( in @ Xx @ emptyset ) => ( Xphi @ Xx ) ))). 49.03/9.98 thf('74', plain, 49.03/9.98 (( vacuousDall ) = 49.03/9.98 ( ![X4:( $i > $o ),X6:$i]: ( ( in @ X6 @ emptyset ) => ( X4 @ X6 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(emptyE1, axiom, emptyE1 = 49.03/9.98 (![A:$i,Xphi:( $i > $o )]: 49.03/9.98 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 49.03/9.98 ( ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = ( emptyset ) ) => 49.03/9.98 ( $false ) ) ))). 49.03/9.98 thf('75', plain, 49.03/9.98 (( emptyE1 ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o )]: 49.03/9.98 ( ( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) => 49.03/9.98 ( ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) = ( emptyset ) ) => 49.03/9.98 ( $false ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(upairsetIR, axiom, upairsetIR = 49.03/9.98 (![Xx:$i,Xy:$i]: 49.03/9.98 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 49.03/9.98 thf('76', plain, 49.03/9.98 (( upairsetIR ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(upairsetIL, axiom, upairsetIL = 49.03/9.98 (![Xx:$i,Xy:$i]: 49.03/9.98 ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 49.03/9.98 thf('77', plain, 49.03/9.98 (( upairsetIL ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(upairsetE, axiom, upairsetE = 49.03/9.98 (![Xx:$i,Xy:$i,Xz:$i]: 49.03/9.98 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 49.03/9.98 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 49.03/9.98 thf('78', plain, 49.03/9.98 (( upairsetE ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 49.03/9.98 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(singletonsswitch, axiom, singletonsswitch = 49.03/9.98 (![Xx:$i,Xy:$i]: 49.03/9.98 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => 49.03/9.98 ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ))). 49.03/9.98 thf('79', plain, 49.03/9.98 (( singletonsswitch ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => 49.03/9.98 ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(eqinunit, axiom, eqinunit = 49.03/9.98 (![Xx:$i,Xy:$i]: 49.03/9.98 ( ( ( Xx ) = ( Xy ) ) => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 49.03/9.98 thf('80', plain, 49.03/9.98 (( eqinunit ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ( X4 ) = ( X6 ) ) => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(notinsingleton, axiom, notinsingleton = 49.03/9.98 (![Xx:$i,Xy:$i]: 49.03/9.98 ( ( ( Xx ) != ( Xy ) ) => ( ~( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ))). 49.03/9.98 thf('81', plain, 49.03/9.98 (( notinsingleton ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ( X4 ) != ( X6 ) ) => 49.03/9.98 ( ~( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(uniqinunit, axiom, uniqinunit = 49.03/9.98 (![Xx:$i,Xy:$i]: 49.03/9.98 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => ( ( Xx ) = ( Xy ) ) ))). 49.03/9.98 thf('82', plain, 49.03/9.98 (( uniqinunit ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => ( ( X4 ) = ( X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(nonemptyImpWitness, axiom, nonemptyImpWitness = 49.03/9.98 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 49.03/9.98 thf('83', plain, 49.03/9.98 (( nonemptyImpWitness ) = 49.03/9.98 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(exuE2, axiom, exuE2 = 49.03/9.98 (![Xphi:( $i > $o )]: 49.03/9.98 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 49.03/9.98 ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) ))). 49.03/9.98 thf('84', plain, 49.03/9.98 (( exuE2 ) = 49.03/9.98 ( ![X4:( $i > $o )]: 49.03/9.98 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 49.03/9.98 ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(subPowSU, axiom, subPowSU = 49.03/9.98 (![A:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ A ) => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ))). 49.03/9.98 thf('85', plain, 49.03/9.98 (( subPowSU ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( in @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ ( setunion @ X4 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setunionE, axiom, setunionE = 49.03/9.98 (![A:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ ( setunion @ A ) ) => 49.03/9.98 ( ![Xphi:$o]: 49.03/9.98 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) => 49.03/9.98 ( Xphi ) ) ) ))). 49.03/9.98 thf('86', plain, 49.03/9.98 (( setunionE ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( in @ X6 @ ( setunion @ X4 ) ) => 49.03/9.98 ( ![X8:$o]: 49.03/9.98 ( ( ![X10:$i]: 49.03/9.98 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) => 49.03/9.98 ( X8 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setunionI, axiom, setunionI = 49.03/9.98 (![A:$i,Xx:$i,B:$i]: 49.03/9.98 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))). 49.03/9.98 thf('87', plain, 49.03/9.98 (( setunionI ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X6 @ X8 ) => 49.03/9.98 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(powersetE, axiom, powersetE = 49.03/9.98 (![A:$i,B:$i,Xx:$i]: 49.03/9.98 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 49.03/9.98 thf('88', plain, 49.03/9.98 (( powersetE ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X6 @ ( powerset @ X4 ) ) => 49.03/9.98 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(emptyInPowerset, axiom, emptyInPowerset = 49.03/9.98 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 49.03/9.98 thf('89', plain, 49.03/9.98 (( emptyInPowerset ) = 49.03/9.98 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(emptyinPowerset, axiom, emptyinPowerset = 49.03/9.98 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 49.03/9.98 thf('90', plain, 49.03/9.98 (( emptyinPowerset ) = 49.03/9.98 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(powersetI, axiom, powersetI = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 49.03/9.98 ( in @ B @ ( powerset @ A ) ) ))). 49.03/9.98 thf('91', plain, 49.03/9.98 (( powersetI ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 49.03/9.98 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setoftrueEq, axiom, setoftrueEq = 49.03/9.98 (![A:$i]: ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( $true ) ) ) = ( A ) ))). 49.03/9.98 thf('92', plain, 49.03/9.98 (( setoftrueEq ) = 49.03/9.98 ( ![X4:$i]: ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( $true ) ) ) = ( X4 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setadjoinOr, axiom, setadjoinOr = 49.03/9.98 (![Xx:$i,A:$i,Xy:$i]: 49.03/9.98 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 49.03/9.98 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 49.03/9.98 thf('93', plain, 49.03/9.98 (( setadjoinOr ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 49.03/9.98 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setadjoinE, axiom, setadjoinE = 49.03/9.98 (![Xx:$i,A:$i,Xy:$i]: 49.03/9.98 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 49.03/9.98 ( ![Xphi:$o]: 49.03/9.98 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) => 49.03/9.98 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))). 49.03/9.98 thf('94', plain, 49.03/9.98 (( setadjoinE ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 49.03/9.98 ( ![X10:$o]: 49.03/9.98 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) => 49.03/9.98 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setadjoinIR, axiom, setadjoinIR = 49.03/9.98 (![Xx:$i,A:$i,Xy:$i]: 49.03/9.98 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))). 49.03/9.98 thf('95', plain, 49.03/9.98 (( setadjoinIR ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(emptyinunitempty, axiom,(( emptyinunitempty ) = 49.03/9.98 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))). 49.03/9.98 thf('96', plain, 49.03/9.98 (( emptyinunitempty ) = 49.03/9.98 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 49.03/9.98 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 49.03/9.98 thf('97', plain, 49.03/9.98 (( emptyinunitempty ) = 49.03/9.98 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setadjoinIL, axiom, setadjoinIL = 49.03/9.98 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))). 49.03/9.98 thf('98', plain, 49.03/9.98 (( setadjoinIL ) = 49.03/9.98 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(nonemptyI1, axiom, nonemptyI1 = 49.03/9.98 (![A:$i]: ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => ( nonempty @ A ) ))). 49.03/9.98 thf('99', plain, 49.03/9.98 (( nonemptyI1 ) = 49.03/9.98 ( ![X4:$i]: ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => ( nonempty @ X4 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(nonemptyI, axiom, nonemptyI = 49.03/9.98 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 49.03/9.98 ( ( in @ Xx @ A ) => 49.03/9.98 ( ( Xphi @ Xx ) => 49.03/9.98 ( nonempty @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 49.03/9.98 thf('100', plain, 49.03/9.98 (( nonemptyI ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 49.03/9.98 ( ( in @ X8 @ X4 ) => 49.03/9.98 ( ( X6 @ X8 ) => 49.03/9.98 ( nonempty @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(nonemptyE1, axiom, nonemptyE1 = 49.03/9.98 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 49.03/9.98 thf('101', plain, 49.03/9.98 (( nonemptyE1 ) = 49.03/9.98 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(nonempty, axiom,(( nonempty ) = (^[Xx:$i]: ( ( Xx ) != ( emptyset ) )))). 49.03/9.98 thf('102', plain, (( nonempty ) = ( ^[Xx:$i]: ( ( Xx ) != ( emptyset ) ) )), 49.03/9.98 inference('simplify_rw_rule', [status(thm)], [nonempty])). 49.03/9.98 thf('103', plain, 49.03/9.98 (( nonempty ) = ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setbeta, axiom, setbeta = 49.03/9.98 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 49.03/9.98 ( ( in @ Xx @ A ) => 49.03/9.98 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) <=> 49.03/9.98 ( Xphi @ Xx ) ) ))). 49.03/9.98 thf('104', plain, 49.03/9.98 (( setbeta ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 49.03/9.98 ( ( in @ X8 @ X4 ) => 49.03/9.98 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=> 49.03/9.98 ( X6 @ X8 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(noeltsimpempty, axiom, noeltsimpempty = 49.03/9.98 (![A:$i]: 49.03/9.98 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 49.03/9.98 thf('105', plain, 49.03/9.98 (( noeltsimpempty ) = 49.03/9.98 ( ![X4:$i]: 49.03/9.98 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(emptyI, axiom, emptyI = 49.03/9.98 (![A:$i]: 49.03/9.98 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 49.03/9.98 thf('106', plain, 49.03/9.98 (( emptyI ) = 49.03/9.98 ( ![X4:$i]: 49.03/9.98 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setext, axiom, setext = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 49.03/9.98 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 49.03/9.98 ( ( A ) = ( B ) ) ) ))). 49.03/9.98 thf('107', plain, 49.03/9.98 (( setext ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 49.03/9.98 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) => 49.03/9.98 ( ( X4 ) = ( X6 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(exuE3e, axiom, exuE3e = 49.03/9.98 (![Xphi:( $i > $o )]: 49.03/9.98 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => ( ?[Xx:$i]: ( Xphi @ Xx ) ) ))). 49.03/9.98 thf('108', plain, 49.03/9.98 (( exuE3e ) = 49.03/9.98 ( ![X4:( $i > $o )]: 49.03/9.98 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => ( ?[X6:$i]: ( X4 @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(notinemptyset, axiom, notinemptyset = 49.03/9.98 (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 49.03/9.98 thf('109', plain, 49.03/9.98 (( notinemptyset ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(emptysetimpfalse, axiom, emptysetimpfalse = 49.03/9.98 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( $false ) ))). 49.03/9.98 thf('110', plain, 49.03/9.98 (( emptysetimpfalse ) = 49.03/9.98 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( $false ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(emptysetE, axiom, emptysetE = 49.03/9.98 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( ![Xphi:$o]: ( Xphi ) ) ))). 49.03/9.98 thf('111', plain, 49.03/9.98 (( emptysetE ) = 49.03/9.98 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( ![X6:$o]: ( X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(prop2setE, axiom, prop2setE = 49.03/9.98 (![Xphi:$o,Xx:$i]: ( ( in @ Xx @ ( prop2set @ Xphi ) ) => ( Xphi ) ))). 49.03/9.98 thf('112', plain, 49.03/9.98 (( prop2setE ) = 49.03/9.98 ( ![X4:$o,X6:$i]: ( ( in @ X6 @ ( prop2set @ X4 ) ) => ( X4 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(exuE1, axiom, exuE1 = 49.03/9.98 (![Xphi:( $i > $o )]: 49.03/9.98 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 49.03/9.98 ( ?[Xx:$i]: 49.03/9.98 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 49.03/9.98 ( Xphi @ Xx ) ) ) ))). 49.03/9.98 thf('113', plain, 49.03/9.98 (( exuE1 ) = 49.03/9.98 ( ![X4:( $i > $o )]: 49.03/9.98 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 49.03/9.98 ( ?[X6:$i]: 49.03/9.98 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 49.03/9.98 ( X4 @ X6 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(dsetconstrER, axiom, dsetconstrER = 49.03/9.98 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 49.03/9.98 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 49.03/9.98 ( Xphi @ Xx ) ))). 49.03/9.98 thf('114', plain, 49.03/9.98 (( dsetconstrER ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 49.03/9.98 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 49.03/9.98 ( X6 @ X8 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(dsetconstrEL, axiom, dsetconstrEL = 49.03/9.98 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 49.03/9.98 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 49.03/9.98 ( in @ Xx @ A ) ))). 49.03/9.98 thf('115', plain, 49.03/9.98 (( dsetconstrEL ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 49.03/9.98 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 49.03/9.98 ( in @ X8 @ X4 ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(dsetconstrI, axiom, dsetconstrI = 49.03/9.98 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 49.03/9.98 ( ( in @ Xx @ A ) => 49.03/9.98 ( ( Xphi @ Xx ) => 49.03/9.98 ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 49.03/9.98 thf('116', plain, 49.03/9.98 (( dsetconstrI ) = 49.03/9.98 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 49.03/9.98 ( ( in @ X8 @ X4 ) => 49.03/9.98 ( ( X6 @ X8 ) => 49.03/9.98 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(descrp, axiom, descrp = 49.03/9.98 (![Xphi:( $i > $o )]: 49.03/9.98 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 49.03/9.98 ( Xphi @ ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 49.03/9.98 thf('117', plain, 49.03/9.98 (( descrp ) = 49.03/9.98 ( ![X4:( $i > $o )]: 49.03/9.98 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 49.03/9.98 ( X4 @ ( descr @ ( ^[V_2:$i]: ( X4 @ V_2 ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(wellorderingAx, axiom, wellorderingAx = 49.03/9.98 (![A:$i]: 49.03/9.98 ( ?[B:$i]: 49.03/9.98 ( ( ![C:$i]: 49.03/9.98 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) & 49.03/9.98 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) => 49.03/9.98 ( ?[D:$i,Xx:$i]: 49.03/9.98 ( ( ![E:$i]: 49.03/9.98 ( ( in @ E @ B ) => 49.03/9.98 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) | 49.03/9.98 ( in @ Xx @ E ) ) ) ) & 49.03/9.98 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) & 49.03/9.98 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) & 49.03/9.98 ( ![C:$i,D:$i]: 49.03/9.98 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) => 49.03/9.98 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) | 49.03/9.98 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) & 49.03/9.98 ( ![Xx:$i,Xy:$i]: 49.03/9.98 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) => 49.03/9.98 ( ( ![C:$i]: 49.03/9.98 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) => 49.03/9.98 ( ( Xx ) = ( Xy ) ) ) ) ) & 49.03/9.98 ( ![C:$i]: 49.03/9.98 ( ( in @ C @ B ) => 49.03/9.98 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))). 49.03/9.98 thf('118', plain, 49.03/9.98 (( wellorderingAx ) = 49.03/9.98 ( ![X4:$i]: 49.03/9.98 ( ?[X6:$i]: 49.03/9.98 ( ( ![X8:$i]: 49.03/9.98 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) & 49.03/9.98 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) => 49.03/9.98 ( ?[X14:$i,X16:$i]: 49.03/9.98 ( ( ![X18:$i]: 49.03/9.98 ( ( in @ X18 @ X6 ) => 49.03/9.98 ( ( ![X20:$i]: 49.03/9.98 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) | 49.03/9.98 ( in @ X16 @ X18 ) ) ) ) & 49.03/9.98 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) & 49.03/9.98 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) & 49.03/9.98 ( ![X24:$i,X26:$i]: 49.03/9.98 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) => 49.03/9.98 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) | 49.03/9.98 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) & 49.03/9.98 ( ![X32:$i,X34:$i]: 49.03/9.98 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) => 49.03/9.98 ( ( ![X36:$i]: 49.03/9.98 ( ( in @ X36 @ X6 ) => 49.03/9.98 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) => 49.03/9.98 ( ( X32 ) = ( X34 ) ) ) ) ) & 49.03/9.98 ( ![X38:$i]: 49.03/9.98 ( ( in @ X38 @ X6 ) => 49.03/9.98 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(foundationAx, axiom, foundationAx = 49.03/9.98 (![A:$i]: 49.03/9.98 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => 49.03/9.98 ( ?[B:$i]: 49.03/9.98 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) & 49.03/9.98 ( in @ B @ A ) ) ) ))). 49.03/9.98 thf('119', plain, 49.03/9.98 (( foundationAx ) = 49.03/9.98 ( ![X4:$i]: 49.03/9.98 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => 49.03/9.98 ( ?[X8:$i]: 49.03/9.98 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) & 49.03/9.98 ( in @ X8 @ X4 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(replAx, axiom, replAx = 49.03/9.98 (![Xphi:( $i > $i > $o ),A:$i]: 49.03/9.98 ( ( ![Xx:$i]: 49.03/9.98 ( ( in @ Xx @ A ) => ( exu @ ( ^[Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ) ) => 49.03/9.98 ( ?[B:$i]: 49.03/9.98 ( ![Xx:$i]: 49.03/9.98 ( ( in @ Xx @ B ) <=> 49.03/9.98 ( ?[Xy:$i]: ( ( Xphi @ Xy @ Xx ) & ( in @ Xy @ A ) ) ) ) ) ) ))). 49.03/9.98 thf('120', plain, 49.03/9.98 (( replAx ) = 49.03/9.98 ( ![X4:( $i > $i > $o ),X6:$i]: 49.03/9.98 ( ( ![X8:$i]: 49.03/9.98 ( ( in @ X8 @ X6 ) => ( exu @ ( ^[V_1:$i]: ( X4 @ X8 @ V_1 ) ) ) ) ) => 49.03/9.98 ( ?[X10:$i]: 49.03/9.98 ( ![X12:$i]: 49.03/9.98 ( ( in @ X12 @ X10 ) <=> 49.03/9.98 ( ?[X14:$i]: ( ( X4 @ X14 @ X12 ) & ( in @ X14 @ X6 ) ) ) ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(omegaIndAx, axiom, omegaIndAx = 49.03/9.98 (![A:$i]: 49.03/9.98 ( ( ( in @ emptyset @ A ) & 49.03/9.98 ( ![Xx:$i]: 49.03/9.98 ( ( ( in @ Xx @ omega ) & ( in @ Xx @ A ) ) => 49.03/9.98 ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) ) ) => 49.03/9.98 ( ![Xx:$i]: ( ( in @ Xx @ omega ) => ( in @ Xx @ A ) ) ) ))). 49.03/9.98 thf('121', plain, 49.03/9.98 (( omegaIndAx ) = 49.03/9.98 ( ![X4:$i]: 49.03/9.98 ( ( ( in @ emptyset @ X4 ) & 49.03/9.98 ( ![X6:$i]: 49.03/9.98 ( ( ( in @ X6 @ omega ) & ( in @ X6 @ X4 ) ) => 49.03/9.98 ( in @ ( setadjoin @ X6 @ X6 ) @ X4 ) ) ) ) => 49.03/9.98 ( ![X8:$i]: ( ( in @ X8 @ omega ) => ( in @ X8 @ X4 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(omegaSAx, axiom, omegaSAx = 49.03/9.98 (![Xx:$i]: 49.03/9.98 ( ( in @ Xx @ omega ) => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ))). 49.03/9.98 thf('122', plain, 49.03/9.98 (( omegaSAx ) = 49.03/9.98 ( ![X4:$i]: 49.03/9.98 ( ( in @ X4 @ omega ) => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(omega0Ax, axiom,(( omega0Ax ) = (in @ emptyset @ omega))). 49.03/9.98 thf('123', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 49.03/9.98 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 49.03/9.98 thf('124', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setunionAx, axiom, setunionAx = 49.03/9.98 (![A:$i,Xx:$i]: 49.03/9.98 ( ( in @ Xx @ ( setunion @ A ) ) <=> 49.03/9.98 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))). 49.03/9.98 thf('125', plain, 49.03/9.98 (( setunionAx ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( in @ X6 @ ( setunion @ X4 ) ) <=> 49.03/9.98 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(powersetAx, axiom, powersetAx = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( in @ B @ ( powerset @ A ) ) <=> 49.03/9.98 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 49.03/9.98 thf('126', plain, 49.03/9.98 (( powersetAx ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 49.03/9.98 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setadjoinAx, axiom, setadjoinAx = 49.03/9.98 (![Xx:$i,A:$i,Xy:$i]: 49.03/9.98 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=> 49.03/9.98 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 49.03/9.98 thf('127', plain, 49.03/9.98 (( setadjoinAx ) = 49.03/9.98 ( ![X4:$i,X6:$i,X8:$i]: 49.03/9.98 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=> 49.03/9.98 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(emptysetAx, axiom, emptysetAx = (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 49.03/9.98 thf('128', plain, 49.03/9.98 (( emptysetAx ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setextAx, axiom, setextAx = 49.03/9.98 (![A:$i,B:$i]: 49.03/9.98 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) => 49.03/9.98 ( ( A ) = ( B ) ) ))). 49.03/9.98 thf('129', plain, 49.03/9.98 (( setextAx ) = 49.03/9.98 ( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 49.03/9.98 ( ( X4 ) = ( X6 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(exu, axiom,(( exu ) = 49.03/9.98 (^[Xphi:( $i > $o )]: 49.03/9.98 ( ?[Xx:$i]: 49.03/9.98 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & ( Xphi @ Xx ) ) )))). 49.03/9.98 thf('130', plain, 49.03/9.98 (( exu ) = 49.03/9.98 ( ^[Xphi:( $i > $o )]: 49.03/9.98 ( ?[Xx:$i]: 49.03/9.98 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 49.03/9.98 ( Xphi @ Xx ) ) ) )), 49.03/9.98 inference('simplify_rw_rule', [status(thm)], [exu])). 49.03/9.98 thf('131', plain, 49.03/9.98 (( exu ) = 49.03/9.98 ( ^[V_1:( $i > $o )]: 49.03/9.98 ( ?[X4:$i]: 49.03/9.98 ( ( ![X6:$i]: ( ( V_1 @ X6 ) => ( ( X4 ) = ( X6 ) ) ) ) & 49.03/9.98 ( V_1 @ X4 ) ) ) )), 49.03/9.98 define([status(thm)])). 49.03/9.98 thf(setminusSubset1, conjecture, 49.03/9.98 (( setextAx ) => 49.03/9.98 ( ( emptysetAx ) => 49.03/9.98 ( ( setadjoinAx ) => 49.03/9.98 ( ( powersetAx ) => 49.03/9.98 ( ( setunionAx ) => 49.03/9.98 ( ( omega0Ax ) => 49.03/9.98 ( ( omegaSAx ) => 49.03/9.98 ( ( omegaIndAx ) => 49.03/9.98 ( ( replAx ) => 49.03/9.98 ( ( foundationAx ) => 49.03/9.98 ( ( wellorderingAx ) => 49.03/9.98 ( ( descrp ) => 49.03/9.98 ( ( dsetconstrI ) => 49.03/9.98 ( ( dsetconstrEL ) => 49.03/9.98 ( ( dsetconstrER ) => 49.03/9.98 ( ( exuE1 ) => 49.03/9.98 ( ( prop2setE ) => 49.03/9.98 ( ( emptysetE ) => 49.03/9.98 ( ( emptysetimpfalse ) => 49.03/9.98 ( ( notinemptyset ) => 49.03/9.98 ( ( exuE3e ) => 49.03/9.98 ( ( setext ) => 49.03/9.98 ( ( emptyI ) => 49.03/9.98 ( ( noeltsimpempty ) => 49.03/9.98 ( ( setbeta ) => 49.03/9.98 ( ( nonemptyE1 ) => 49.03/9.98 ( ( nonemptyI ) => 49.03/9.98 ( ( nonemptyI1 ) => 49.03/9.98 ( ( setadjoinIL ) => 49.03/9.98 ( ( emptyinunitempty ) => 49.03/9.98 ( ( setadjoinIR ) => 49.03/9.98 ( ( setadjoinE ) => 49.03/9.98 ( ( 49.03/9.98 setadjoinOr ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setoftrueEq ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 powersetI ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 emptyinPowerset ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 emptyInPowerset ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 powersetE ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setunionI ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setunionE ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subPowSU ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 exuE2 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 nonemptyImpWitness ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 uniqinunit ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 notinsingleton ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 eqinunit ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 singletonsswitch ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 upairsetE ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 upairsetIL ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 upairsetIR ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 emptyE1 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 vacuousDall ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 quantDeMorgan1 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 quantDeMorgan2 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 quantDeMorgan3 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 quantDeMorgan4 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 prop2setI ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 prop2set2propI ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 notdexE ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 notdallE ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 exuI1 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 exuI3 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 exuI2 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 inCongP ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in__Cong ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 exuE3u ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 exu__Cong ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 emptyset__Cong ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setadjoin__Cong ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 powerset__Cong ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setunion__Cong ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 omega__Cong ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 exuEu ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 descr__Cong ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 dsetconstr__Cong ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subsetI1 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 eqimpsubset2 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 eqimpsubset1 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subsetI2 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 emptysetsubset ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subsetE ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subsetE2 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 notsubsetI ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 notequalI1 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 notequalI2 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subsetRefl ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subsetTrans ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setadjoinSub ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setadjoinSub2 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subset2powerset ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setextsub ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subsetemptysetimpeq ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 powersetI1 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 powersetE1 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 inPowerset ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 powersetsubset ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 sepInPowerset ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 sepSubset ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binunionIL ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 upairset2IR ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binunionIR ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binunionEcases ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binunionE ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binunionLsub ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binunionRsub ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binintersectI ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binintersectSubset5 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binintersectEL ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binintersectLsub ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binintersectSubset2 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binintersectSubset3 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binintersectER ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 disjointsetsI1 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binintersectRsub ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binintersectSubset4 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 binintersectSubset1 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 bs114d ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setminusI ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setminusEL ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setminusER ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setminusSubset2 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setminusERneg ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setminusELneg ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setminusILneg ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setminusIRneg ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setminusLsub ) => 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 A:$i,B:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setminus @ 49.03/9.98 A @ B ) = 49.03/9.98 ( 49.03/9.98 emptyset ) ) => 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 A @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 49.03/9.98 thf(zf_stmt_0, conjecture, 49.03/9.98 (( ![X4:$i,X6:$i]: 49.03/9.98 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 49.03/9.98 ( ( X4 ) = ( X6 ) ) ) ) => 49.03/9.98 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 49.03/9.98 ( ( ![X12:$i,X14:$i,X16:$i]: 49.03/9.98 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 49.03/9.98 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 49.03/9.98 ( ( ![X18:$i,X20:$i]: 49.03/9.98 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 49.03/9.98 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 49.03/9.98 ( ( ![X24:$i,X26:$i]: 49.03/9.98 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 49.03/9.98 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 49.03/9.98 ( ( in @ emptyset @ omega ) => 49.03/9.98 ( ( ![X30:$i]: 49.03/9.98 ( ( in @ X30 @ omega ) => 49.03/9.98 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 49.03/9.98 ( ( ![X32:$i]: 49.03/9.98 ( ( ( ![X34:$i]: 49.03/9.98 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 49.03/9.98 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 49.03/9.98 ( in @ emptyset @ X32 ) ) => 49.03/9.98 ( ![X36:$i]: 49.03/9.98 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 49.03/9.98 ( ( ![X38:( $i > $i > $o ),X40:$i]: 49.03/9.98 ( ( ![X42:$i]: 49.03/9.98 ( ( in @ X42 @ X40 ) => 49.03/9.98 ( ?[X44:$i]: 49.03/9.98 ( ( X38 @ X42 @ X44 ) & 49.03/9.98 ( ![X46:$i]: 49.03/9.98 ( ( X38 @ X42 @ X46 ) => 49.03/9.98 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 49.03/9.98 ( ?[X48:$i]: 49.03/9.98 ( ![X50:$i]: 49.03/9.98 ( ( in @ X50 @ X48 ) <=> 49.03/9.98 ( ?[X52:$i]: 49.03/9.98 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 49.03/9.98 ( ( ![X54:$i]: 49.03/9.98 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 49.03/9.98 ( ?[X58:$i]: 49.03/9.98 ( ( in @ X58 @ X54 ) & 49.03/9.98 ( ~( ?[X60:$i]: 49.03/9.98 ( ( in @ X60 @ X58 ) & ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 49.03/9.98 ( ( ![X62:$i]: 49.03/9.98 ( ?[X64:$i]: 49.03/9.98 ( ( ![X96:$i]: 49.03/9.98 ( ( in @ X96 @ X64 ) => 49.03/9.98 ( ![X98:$i]: 49.03/9.98 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) & 49.03/9.98 ( ![X90:$i,X92:$i]: 49.03/9.98 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 49.03/9.98 ( ( ![X94:$i]: 49.03/9.98 ( ( in @ X94 @ X64 ) => 49.03/9.98 ( ( in @ X90 @ X94 ) <=> 49.03/9.98 ( in @ X92 @ X94 ) ) ) ) => 49.03/9.98 ( ( X90 ) = ( X92 ) ) ) ) ) & 49.03/9.98 ( ![X82:$i,X84:$i]: 49.03/9.98 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 49.03/9.98 ( ( ![X88:$i]: 49.03/9.98 ( ( in @ X88 @ X84 ) => 49.03/9.98 ( in @ X88 @ X82 ) ) ) | 49.03/9.98 ( ![X86:$i]: 49.03/9.98 ( ( in @ X86 @ X82 ) => 49.03/9.98 ( in @ X86 @ X84 ) ) ) ) ) ) & 49.03/9.98 ( ![X66:$i]: 49.03/9.98 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 49.03/9.98 ( ![X68:$i]: 49.03/9.98 ( ( in @ X68 @ X66 ) => 49.03/9.98 ( in @ X68 @ X62 ) ) ) ) => 49.03/9.98 ( ?[X72:$i,X74:$i]: 49.03/9.98 ( ( in @ X72 @ X64 ) & 49.03/9.98 ( in @ X74 @ X66 ) & 49.03/9.98 ( ~( ?[X80:$i]: 49.03/9.98 ( ( in @ X80 @ X72 ) & 49.03/9.98 ( in @ X80 @ X66 ) ) ) ) & 49.03/9.98 ( ![X76:$i]: 49.03/9.98 ( ( in @ X76 @ X64 ) => 49.03/9.98 ( ( in @ X74 @ X76 ) | 49.03/9.98 ( ![X78:$i]: 49.03/9.98 ( ( in @ X78 @ X76 ) => 49.03/9.98 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 49.03/9.98 ( ( ![X100:( $i > $o )]: 49.03/9.98 ( ( ?[X102:$i]: 49.03/9.98 ( ( X100 @ X102 ) & 49.03/9.98 ( ![X104:$i]: 49.03/9.98 ( ( X100 @ X104 ) => 49.03/9.98 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 49.03/9.98 ( X100 @ 49.03/9.98 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 49.03/9.98 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 49.03/9.98 ( ( in @ X110 @ X106 ) => 49.03/9.98 ( ( X108 @ X110 ) => 49.03/9.98 ( in @ 49.03/9.98 X110 @ 49.03/9.98 ( dsetconstr @ 49.03/9.98 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 49.03/9.98 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 49.03/9.98 ( ( in @ 49.03/9.98 X116 @ 49.03/9.98 ( dsetconstr @ 49.03/9.98 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 49.03/9.98 ( in @ X116 @ X112 ) ) ) => 49.03/9.98 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 49.03/9.98 ( ( in @ 49.03/9.98 X122 @ 49.03/9.98 ( dsetconstr @ 49.03/9.98 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 49.03/9.98 ( X120 @ X122 ) ) ) => 49.03/9.98 ( ( ![X124:( $i > $o )]: 49.03/9.98 ( ( ?[X126:$i]: 49.03/9.98 ( ( X124 @ X126 ) & 49.03/9.98 ( ![X128:$i]: 49.03/9.98 ( ( X124 @ X128 ) => 49.03/9.98 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 49.03/9.98 ( ?[X130:$i]: 49.03/9.98 ( ( X124 @ X130 ) & 49.03/9.98 ( ![X132:$i]: 49.03/9.98 ( ( X124 @ X132 ) => 49.03/9.98 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 49.03/9.98 ( ( ![X134:$o,X136:$i]: 49.03/9.98 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 49.03/9.98 ( X134 ) ) ) => 49.03/9.98 ( ( ![X138:$i]: 49.03/9.98 ( ( in @ X138 @ emptyset ) => 49.03/9.98 ( ![X140:$o]: ( X140 ) ) ) ) => 49.03/9.98 ( ( ![X142:$i]: 49.03/9.98 ( ~( in @ X142 @ emptyset ) ) ) => 49.03/9.98 ( ( ![X144:$i]: 49.03/9.98 ( ~( in @ X144 @ emptyset ) ) ) => 49.03/9.98 ( ( ![X146:( $i > $o )]: 49.03/9.98 ( ( ?[X148:$i]: 49.03/9.98 ( ( X146 @ X148 ) & 49.03/9.98 ( ![X150:$i]: 49.03/9.98 ( ( X146 @ X150 ) => 49.03/9.98 ( ( X148 ) = ( X150 ) ) ) ) ) ) => 49.03/9.98 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 49.03/9.98 ( ( ![X154:$i,X156:$i]: 49.03/9.98 ( ( ![X158:$i]: 49.03/9.98 ( ( in @ X158 @ X154 ) => 49.03/9.98 ( in @ X158 @ X156 ) ) ) => 49.03/9.98 ( ( ![X160:$i]: 49.03/9.98 ( ( in @ X160 @ X156 ) => 49.03/9.98 ( in @ X160 @ X154 ) ) ) => 49.03/9.98 ( ( X154 ) = ( X156 ) ) ) ) ) => 49.03/9.98 ( ( ![X162:$i]: 49.03/9.98 ( ( ![X164:$i]: 49.03/9.98 ( ~( in @ X164 @ X162 ) ) ) => 49.03/9.98 ( ( X162 ) = ( emptyset ) ) ) ) => 49.03/9.98 ( ( ![X166:$i]: 49.03/9.98 ( ( ![X168:$i]: 49.03/9.98 ( ~( in @ X168 @ X166 ) ) ) => 49.03/9.98 ( ( X166 ) = 49.03/9.98 ( emptyset ) ) ) ) => 49.03/9.98 ( ( ![X170:$i, 49.03/9.98 X172:( $i > $o ), 49.03/9.98 X174:$i]: 49.03/9.98 ( ( in @ X174 @ X170 ) => 49.03/9.98 ( ( in @ 49.03/9.98 X174 @ 49.03/9.98 ( dsetconstr @ 49.03/9.98 X170 @ 49.03/9.98 ( ^[V_5:$i]: 49.03/9.98 ( X172 @ V_5 ) ) ) ) <=> 49.03/9.98 ( X172 @ X174 ) ) ) ) => 49.03/9.98 ( ( ![X176:$i]: 49.03/9.98 ( ( ( X176 ) != 49.03/9.98 ( emptyset ) ) => 49.03/9.98 ( ?[X178:$i]: 49.03/9.98 ( in @ X178 @ X176 ) ) ) ) => 49.03/9.98 ( ( ![X180:$i, 49.03/9.98 X182:( $i > $o ), 49.03/9.98 X184:$i]: 49.03/9.98 ( ( in @ X184 @ X180 ) => 49.03/9.98 ( ( X182 @ X184 ) => 49.03/9.98 ( ( dsetconstr @ 49.03/9.98 X180 @ 49.03/9.98 ( ^[ 49.03/9.98 V_6:$i]: 49.03/9.98 ( 49.03/9.98 X182 @ V_6 ) ) ) != 49.03/9.98 ( emptyset ) ) ) ) ) => 49.03/9.98 ( ( ![X186:$i]: 49.03/9.98 ( ( ?[X188:$i]: 49.03/9.98 ( in @ 49.03/9.98 X188 @ X186 ) ) => 49.03/9.98 ( ( X186 ) != 49.03/9.98 ( emptyset ) ) ) ) => 49.03/9.98 ( ( ![X190:$i, 49.03/9.98 X192:$i]: 49.03/9.98 ( in @ 49.03/9.98 X190 @ 49.03/9.98 ( setadjoin @ 49.03/9.98 X190 @ X192 ) ) ) => 49.03/9.98 ( ( in @ 49.03/9.98 emptyset @ 49.03/9.98 ( setadjoin @ 49.03/9.98 emptyset @ 49.03/9.98 emptyset ) ) => 49.03/9.98 ( ( ![X194:$i, 49.03/9.98 X196:$i, 49.03/9.98 X198:$i]: 49.03/9.98 ( ( 49.03/9.98 in @ 49.03/9.98 X198 @ 49.03/9.98 X196 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X198 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X194 @ 49.03/9.98 X196 ) ) ) ) => 49.03/9.98 ( ( ![ 49.03/9.98 X200:$i, 49.03/9.98 X202:$i, 49.03/9.98 X204:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X204 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X200 @ 49.03/9.98 X202 ) ) => 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X206:$o]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X204 ) = 49.03/9.98 ( 49.03/9.98 X200 ) ) => 49.03/9.98 ( 49.03/9.98 X206 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X204 @ 49.03/9.98 X202 ) => 49.03/9.98 ( 49.03/9.98 X206 ) ) => 49.03/9.98 ( 49.03/9.98 X206 ) ) ) ) ) ) => 49.03/9.98 ( ( 49.03/9.98 ![ 49.03/9.98 X208:$i, 49.03/9.98 X210:$i, 49.03/9.98 X212:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X212 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X208 @ 49.03/9.98 X210 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X212 @ 49.03/9.98 X210 ) | 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X212 ) = 49.03/9.98 ( 49.03/9.98 X208 ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X214:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 dsetconstr 49.03/9.98 @ 49.03/9.98 X214 @ 49.03/9.98 ( 49.03/9.98 ^[ 49.03/9.98 V_7:$i]: 49.03/9.98 ( 49.03/9.98 $true ) ) ) = 49.03/9.98 ( 49.03/9.98 X214 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X216:$i, 49.03/9.98 X218:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X220:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X220 @ 49.03/9.98 X218 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X220 @ 49.03/9.98 X216 ) ) ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X218 @ 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 X216 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X222:$i]: 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 emptyset @ 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 X222 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X224:$i]: 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 emptyset @ 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 X224 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X226:$i, 49.03/9.98 X228:$i, 49.03/9.98 X230:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X228 @ 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 X226 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X230 @ 49.03/9.98 X228 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X230 @ 49.03/9.98 X226 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X232:$i, 49.03/9.98 X234:$i, 49.03/9.98 X236:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X234 @ 49.03/9.98 X236 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X236 @ 49.03/9.98 X232 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X234 @ 49.03/9.98 ( 49.03/9.98 setunion @ 49.03/9.98 X232 ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X238:$i, 49.03/9.98 X240:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X240 @ 49.03/9.98 ( 49.03/9.98 setunion @ 49.03/9.98 X238 ) ) => 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X242:$o]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X244:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X240 @ 49.03/9.98 X244 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X244 @ 49.03/9.98 X238 ) => 49.03/9.98 ( 49.03/9.98 X242 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 X242 ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X246:$i, 49.03/9.98 X248:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X248 @ 49.03/9.98 X246 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X248 @ 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 ( 49.03/9.98 setunion @ 49.03/9.98 X246 ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X250:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X252:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X250 @ 49.03/9.98 X252 ) & 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X254:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X250 @ 49.03/9.98 X254 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X252 ) = 49.03/9.98 ( 49.03/9.98 X254 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X256:$i]: 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X258:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X250 @ 49.03/9.98 X258 ) <=> 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X258 ) = 49.03/9.98 ( 49.03/9.98 X256 ) ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X260:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X260 ) != 49.03/9.98 ( 49.03/9.98 emptyset ) ) => 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X262:$i]: 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X262 @ 49.03/9.98 X260 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X264:$i, 49.03/9.98 X266:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X264 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X266 @ 49.03/9.98 emptyset ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X264 ) = 49.03/9.98 ( 49.03/9.98 X266 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X268:$i, 49.03/9.98 X270:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X268 ) != 49.03/9.98 ( 49.03/9.98 X270 ) ) => 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 in @ 49.03/9.98 X270 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X268 @ 49.03/9.98 emptyset ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X272:$i, 49.03/9.98 X274:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X272 ) = 49.03/9.98 ( 49.03/9.98 X274 ) ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X272 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X274 @ 49.03/9.98 emptyset ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X276:$i, 49.03/9.98 X278:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X276 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X278 @ 49.03/9.98 emptyset ) ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X278 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X276 @ 49.03/9.98 emptyset ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X280:$i, 49.03/9.98 X282:$i, 49.03/9.98 X284:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X284 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X280 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X282 @ 49.03/9.98 emptyset ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X284 ) = 49.03/9.98 ( 49.03/9.98 X282 ) ) | 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X284 ) = 49.03/9.98 ( 49.03/9.98 X280 ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X286:$i, 49.03/9.98 X288:$i]: 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X286 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X286 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X288 @ 49.03/9.98 emptyset ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X290:$i, 49.03/9.98 X292:$i]: 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X292 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X290 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X292 @ 49.03/9.98 emptyset ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X294:$i, 49.03/9.98 X296:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X298:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X298 @ 49.03/9.98 X294 ) & 49.03/9.98 ( 49.03/9.98 X296 @ 49.03/9.98 X298 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 dsetconstr 49.03/9.98 @ 49.03/9.98 X294 @ 49.03/9.98 ( 49.03/9.98 ^[ 49.03/9.98 V_8:$i]: 49.03/9.98 ( 49.03/9.98 X296 @ V_8 ) ) ) != 49.03/9.98 ( 49.03/9.98 emptyset ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X300:( 49.03/9.98 $i > $o ), 49.03/9.98 X302:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X302 @ 49.03/9.98 emptyset ) => 49.03/9.98 ( 49.03/9.98 X300 @ 49.03/9.98 X302 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X304:$i, 49.03/9.98 X306:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 ![ 49.03/9.98 X308:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X308 @ 49.03/9.98 X304 ) => 49.03/9.98 ( 49.03/9.98 X306 @ 49.03/9.98 X308 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X310:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X310 @ 49.03/9.98 X304 ) & 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 X306 @ 49.03/9.98 X310 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X312:$i, 49.03/9.98 X314:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X316:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X316 @ 49.03/9.98 X312 ) => 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 X314 @ 49.03/9.98 X316 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 ?[ 49.03/9.98 X318:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X318 @ 49.03/9.98 X312 ) & 49.03/9.98 ( 49.03/9.98 X314 @ 49.03/9.98 X318 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X320:$i, 49.03/9.98 X322:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 ?[ 49.03/9.98 X324:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X324 @ 49.03/9.98 X320 ) & 49.03/9.98 ( 49.03/9.98 X322 @ 49.03/9.98 X324 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X326:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X326 @ 49.03/9.98 X320 ) => 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 X322 @ 49.03/9.98 X326 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X328:$i, 49.03/9.98 X330:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X332:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X332 @ 49.03/9.98 X328 ) & 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 X330 @ 49.03/9.98 X332 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 ![ 49.03/9.98 X334:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X334 @ 49.03/9.98 X328 ) => 49.03/9.98 ( 49.03/9.98 X330 @ 49.03/9.98 X334 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X336:$o]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X336 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 emptyset @ 49.03/9.98 ( 49.03/9.98 prop2set @ 49.03/9.98 X336 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X338:$o]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X338 ) => 49.03/9.98 ( 49.03/9.98 set2prop @ 49.03/9.98 ( 49.03/9.98 prop2set @ 49.03/9.98 X338 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X340:$i, 49.03/9.98 X342:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 ?[ 49.03/9.98 X344:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X344 @ 49.03/9.98 X340 ) & 49.03/9.98 ( 49.03/9.98 X342 @ 49.03/9.98 X344 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X346:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X346 @ 49.03/9.98 X340 ) => 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 X342 @ 49.03/9.98 X346 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X348:$i, 49.03/9.98 X350:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 ![ 49.03/9.98 X352:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X352 @ 49.03/9.98 X348 ) => 49.03/9.98 ( 49.03/9.98 X350 @ 49.03/9.98 X352 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X354:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X354 @ 49.03/9.98 X348 ) & 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 X350 @ 49.03/9.98 X354 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X356:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X358:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X356 @ 49.03/9.98 X358 ) & 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X360:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X356 @ 49.03/9.98 X360 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X358 ) = 49.03/9.98 ( 49.03/9.98 X360 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X362:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X356 @ 49.03/9.98 X362 ) & 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X364:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X356 @ 49.03/9.98 X364 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X362 ) = 49.03/9.98 ( 49.03/9.98 X364 ) ) ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X366:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X368:$i]: 49.03/9.98 ( 49.03/9.98 X366 @ 49.03/9.98 X368 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X370:$i, 49.03/9.98 X372:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X366 @ 49.03/9.98 X370 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X366 @ 49.03/9.98 X372 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X370 ) = 49.03/9.98 ( 49.03/9.98 X372 ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X374:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X366 @ 49.03/9.98 X374 ) & 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X376:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X366 @ 49.03/9.98 X376 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X374 ) = 49.03/9.98 ( 49.03/9.98 X376 ) ) ) ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X378:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X380:$i]: 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X382:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X378 @ 49.03/9.98 X382 ) <=> 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X382 ) = 49.03/9.98 ( 49.03/9.98 X380 ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X384:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X378 @ 49.03/9.98 X384 ) & 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X386:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X378 @ 49.03/9.98 X386 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X384 ) = 49.03/9.98 ( 49.03/9.98 X386 ) ) ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X388:$i, 49.03/9.98 X390:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X388 ) = 49.03/9.98 ( 49.03/9.98 X390 ) ) => 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X392:$i, 49.03/9.98 X394:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X392 ) = 49.03/9.98 ( 49.03/9.98 X394 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X392 @ 49.03/9.98 X388 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X394 @ 49.03/9.98 X390 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X396:$i, 49.03/9.98 X398:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X396 ) = 49.03/9.98 ( 49.03/9.98 X398 ) ) => 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X400:$i, 49.03/9.98 X402:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X400 ) = 49.03/9.98 ( 49.03/9.98 X402 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X400 @ 49.03/9.98 X396 ) <=> 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X402 @ 49.03/9.98 X398 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X404:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X406:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X404 @ 49.03/9.98 X406 ) & 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X408:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X404 @ 49.03/9.98 X408 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X406 ) = 49.03/9.98 ( 49.03/9.98 X408 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X410:$i, 49.03/9.98 X412:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X404 @ 49.03/9.98 X410 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X404 @ 49.03/9.98 X412 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X410 ) = 49.03/9.98 ( 49.03/9.98 X412 ) ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X414:( 49.03/9.98 $i > $o ), 49.03/9.98 X416:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X418:$i, 49.03/9.98 X420:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X418 ) = 49.03/9.98 ( 49.03/9.98 X420 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X414 @ 49.03/9.98 X418 ) <=> 49.03/9.98 ( 49.03/9.98 X416 @ 49.03/9.98 X420 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X422:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X414 @ 49.03/9.98 X422 ) & 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X424:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X414 @ 49.03/9.98 X424 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X422 ) = 49.03/9.98 ( 49.03/9.98 X424 ) ) ) ) ) ) <=> 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X426:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X416 @ 49.03/9.98 X426 ) & 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X428:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X416 @ 49.03/9.98 X428 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X426 ) = 49.03/9.98 ( 49.03/9.98 X428 ) ) ) ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 emptyset ) = 49.03/9.98 ( 49.03/9.98 emptyset ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X430:$i, 49.03/9.98 X432:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X430 ) = 49.03/9.98 ( 49.03/9.98 X432 ) ) => 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X434:$i, 49.03/9.98 X436:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X434 ) = 49.03/9.98 ( 49.03/9.98 X436 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X430 @ 49.03/9.98 X434 ) = 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X432 @ 49.03/9.98 X436 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X438:$i, 49.03/9.98 X440:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X438 ) = 49.03/9.98 ( 49.03/9.98 X440 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 X438 ) = 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 X440 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X442:$i, 49.03/9.98 X444:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X442 ) = 49.03/9.98 ( 49.03/9.98 X444 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 setunion @ 49.03/9.98 X442 ) = 49.03/9.98 ( 49.03/9.98 setunion @ 49.03/9.98 X444 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 omega ) = 49.03/9.98 ( 49.03/9.98 omega ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X446:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X448:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X446 @ 49.03/9.98 X448 ) & 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X450:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X446 @ 49.03/9.98 X450 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X448 ) = 49.03/9.98 ( 49.03/9.98 X450 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X452:$i, 49.03/9.98 X454:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X446 @ 49.03/9.98 X452 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X446 @ 49.03/9.98 X454 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X452 ) = 49.03/9.98 ( 49.03/9.98 X454 ) ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X456:( 49.03/9.98 $i > $o ), 49.03/9.98 X458:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X460:$i, 49.03/9.98 X462:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X460 ) = 49.03/9.98 ( 49.03/9.98 X462 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X456 @ 49.03/9.98 X460 ) <=> 49.03/9.98 ( 49.03/9.98 X458 @ 49.03/9.98 X462 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X464:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X456 @ 49.03/9.98 X464 ) & 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X466:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X456 @ 49.03/9.98 X466 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X464 ) = 49.03/9.98 ( 49.03/9.98 X466 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ?[ 49.03/9.98 X468:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X458 @ 49.03/9.98 X468 ) & 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X470:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X458 @ 49.03/9.98 X470 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X468 ) = 49.03/9.98 ( 49.03/9.98 X470 ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 descr @ 49.03/9.98 ( 49.03/9.98 ^[ 49.03/9.98 V_9:$i]: 49.03/9.98 ( 49.03/9.98 X456 @ V_9 ) ) ) = 49.03/9.98 ( 49.03/9.98 descr @ 49.03/9.98 ( 49.03/9.98 ^[ 49.03/9.98 V_10:$i]: 49.03/9.98 ( 49.03/9.98 X458 @ 49.03/9.98 V_10 ) ) ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X472:$i, 49.03/9.98 X474:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X472 ) = 49.03/9.98 ( 49.03/9.98 X474 ) ) => 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X476:( 49.03/9.98 $i > $o ), 49.03/9.98 X478:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X480:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X480 @ 49.03/9.98 X472 ) => 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X482:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X482 @ 49.03/9.98 X474 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X480 ) = 49.03/9.98 ( 49.03/9.98 X482 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X476 @ 49.03/9.98 X480 ) <=> 49.03/9.98 ( 49.03/9.98 X478 @ 49.03/9.98 X482 ) ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 dsetconstr 49.03/9.98 @ 49.03/9.98 X472 @ 49.03/9.98 ( 49.03/9.98 ^[ 49.03/9.98 V_11:$i]: 49.03/9.98 ( 49.03/9.98 X476 @ 49.03/9.98 V_11 ) ) ) = 49.03/9.98 ( 49.03/9.98 dsetconstr 49.03/9.98 @ 49.03/9.98 X474 @ 49.03/9.98 ( 49.03/9.98 ^[ 49.03/9.98 V_12:$i]: 49.03/9.98 ( 49.03/9.98 X478 @ 49.03/9.98 V_12 ) ) ) ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X484:$i, 49.03/9.98 X486:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X488:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X488 @ 49.03/9.98 X484 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X488 @ 49.03/9.98 X486 ) ) ) => 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X484 @ 49.03/9.98 X486 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X490:$i, 49.03/9.98 X492:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X490 ) = 49.03/9.98 ( 49.03/9.98 X492 ) ) => 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X492 @ 49.03/9.98 X490 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X494:$i, 49.03/9.98 X496:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X494 ) = 49.03/9.98 ( 49.03/9.98 X496 ) ) => 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X494 @ 49.03/9.98 X496 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X498:$i, 49.03/9.98 X500:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X502:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X502 @ 49.03/9.98 X498 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X502 @ 49.03/9.98 X500 ) ) ) => 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X498 @ 49.03/9.98 X500 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X504:$i]: 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 emptyset @ 49.03/9.98 X504 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X506:$i, 49.03/9.98 X508:$i, 49.03/9.98 X510:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X506 @ 49.03/9.98 X508 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X510 @ 49.03/9.98 X506 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X510 @ 49.03/9.98 X508 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X512:$i, 49.03/9.98 X514:$i, 49.03/9.98 X516:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X512 @ 49.03/9.98 X514 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 in @ 49.03/9.98 X516 @ 49.03/9.98 X514 ) ) => 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 in @ 49.03/9.98 X516 @ 49.03/9.98 X512 ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X518:$i, 49.03/9.98 X520:$i, 49.03/9.98 X522:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X522 @ 49.03/9.98 X518 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 in @ 49.03/9.98 X522 @ 49.03/9.98 X520 ) ) => 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 subset @ 49.03/9.98 X518 @ 49.03/9.98 X520 ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X524:$i, 49.03/9.98 X526:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 subset @ 49.03/9.98 X524 @ 49.03/9.98 X526 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X524 ) != 49.03/9.98 ( 49.03/9.98 X526 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X528:$i, 49.03/9.98 X530:$i, 49.03/9.98 X532:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X532 @ 49.03/9.98 X528 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ~( 49.03/9.98 in @ 49.03/9.98 X532 @ 49.03/9.98 X530 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X528 ) != 49.03/9.98 ( 49.03/9.98 X530 ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X534:$i]: 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X534 @ 49.03/9.98 X534 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X536:$i, 49.03/9.98 X538:$i, 49.03/9.98 X540:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X536 @ 49.03/9.98 X538 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X538 @ 49.03/9.98 X540 ) => 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X536 @ 49.03/9.98 X540 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X542:$i, 49.03/9.98 X544:$i]: 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X544 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X542 @ 49.03/9.98 X544 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X546:$i, 49.03/9.98 X548:$i, 49.03/9.98 X550:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X546 @ 49.03/9.98 X550 ) => 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X546 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X548 @ 49.03/9.98 X550 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X552:$i, 49.03/9.98 X554:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X552 @ 49.03/9.98 X554 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X552 @ 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 X554 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X556:$i, 49.03/9.98 X558:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X556 @ 49.03/9.98 X558 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X558 @ 49.03/9.98 X556 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X556 ) = 49.03/9.98 ( 49.03/9.98 X558 ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X560:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X560 @ 49.03/9.98 emptyset ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 X560 ) = 49.03/9.98 ( 49.03/9.98 emptyset ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X562:$i, 49.03/9.98 X564:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X564 @ 49.03/9.98 X562 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X564 @ 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 X562 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X566:$i, 49.03/9.98 X568:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X568 @ 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 X566 ) ) => 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X568 @ 49.03/9.98 X566 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X570:$i]: 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X570 @ 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 X570 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X572:$i, 49.03/9.98 X574:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X572 @ 49.03/9.98 X574 ) => 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 X572 ) @ 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 X574 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X576:$i, 49.03/9.98 X578:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 ( 49.03/9.98 dsetconstr 49.03/9.98 @ 49.03/9.98 X576 @ 49.03/9.98 ( 49.03/9.98 ^[ 49.03/9.98 V_13:$i]: 49.03/9.98 ( 49.03/9.98 X578 @ 49.03/9.98 V_13 ) ) ) @ 49.03/9.98 ( 49.03/9.98 powerset @ 49.03/9.98 X576 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X580:$i, 49.03/9.98 X582:( 49.03/9.98 $i > $o )]: 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 ( 49.03/9.98 dsetconstr 49.03/9.98 @ 49.03/9.98 X580 @ 49.03/9.98 ( 49.03/9.98 ^[ 49.03/9.98 V_14:$i]: 49.03/9.98 ( 49.03/9.98 X582 @ 49.03/9.98 V_14 ) ) ) @ 49.03/9.98 X580 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X584:$i, 49.03/9.98 X586:$i, 49.03/9.98 X588:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X588 @ 49.03/9.98 X584 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X588 @ 49.03/9.98 ( 49.03/9.98 binunion @ 49.03/9.98 X584 @ 49.03/9.98 X586 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X590:$i, 49.03/9.98 X592:$i]: 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X592 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X590 @ 49.03/9.98 ( 49.03/9.98 setadjoin 49.03/9.98 @ 49.03/9.98 X592 @ 49.03/9.98 emptyset ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X594:$i, 49.03/9.98 X596:$i, 49.03/9.98 X598:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X598 @ 49.03/9.98 X596 ) => 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X598 @ 49.03/9.98 ( 49.03/9.98 binunion @ 49.03/9.98 X594 @ 49.03/9.98 X596 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X600:$i, 49.03/9.98 X602:$i, 49.03/9.98 X604:$i, 49.03/9.98 X606:$o]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X604 @ 49.03/9.98 ( 49.03/9.98 binunion @ 49.03/9.98 X600 @ 49.03/9.98 X602 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X604 @ 49.03/9.98 X600 ) => 49.03/9.98 ( 49.03/9.98 X606 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X604 @ 49.03/9.98 X602 ) => 49.03/9.98 ( 49.03/9.98 X606 ) ) => 49.03/9.98 ( 49.03/9.98 X606 ) ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X608:$i, 49.03/9.98 X610:$i, 49.03/9.98 X612:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X612 @ 49.03/9.98 ( 49.03/9.98 binunion @ 49.03/9.98 X608 @ 49.03/9.98 X610 ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X612 @ 49.03/9.98 X610 ) | 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X612 @ 49.03/9.98 X608 ) ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X614:$i, 49.03/9.98 X616:$i]: 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X614 @ 49.03/9.98 ( 49.03/9.98 binunion @ 49.03/9.98 X614 @ 49.03/9.98 X616 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X618:$i, 49.03/9.98 X620:$i]: 49.03/9.98 ( 49.03/9.98 subset @ 49.03/9.98 X620 @ 49.03/9.98 ( 49.03/9.98 binunion @ 49.03/9.98 X618 @ 49.03/9.98 X620 ) ) ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 ![ 49.03/9.98 X622:$i, 49.03/9.98 X624:$i, 49.03/9.98 X626:$i]: 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X626 @ 49.03/9.98 X622 ) => 49.03/9.98 ( 49.03/9.98 ( 49.03/9.98 in @ 49.03/9.98 X626 @ 49.03/9.98 X624 ) => 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X626 @ 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X622 @ 49.03/9.99 X624 ) ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X628:$i, 49.03/9.99 X630:$i, 49.03/9.99 X632:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 subset @ 49.03/9.99 X632 @ 49.03/9.99 X628 ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 subset @ 49.03/9.99 X632 @ 49.03/9.99 X630 ) => 49.03/9.99 ( 49.03/9.99 subset @ 49.03/9.99 X632 @ 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X628 @ 49.03/9.99 X630 ) ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X634:$i, 49.03/9.99 X636:$i, 49.03/9.99 X638:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X638 @ 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X634 @ 49.03/9.99 X636 ) ) => 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X638 @ 49.03/9.99 X634 ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X640:$i, 49.03/9.99 X642:$i]: 49.03/9.99 ( 49.03/9.99 subset @ 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X640 @ 49.03/9.99 X642 ) @ 49.03/9.99 X640 ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X644:$i, 49.03/9.99 X646:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 subset @ 49.03/9.99 X644 @ 49.03/9.99 X646 ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X644 @ 49.03/9.99 X646 ) = 49.03/9.99 ( 49.03/9.99 X644 ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X648:$i, 49.03/9.99 X650:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X648 @ 49.03/9.99 X650 ) = 49.03/9.99 ( 49.03/9.99 X650 ) ) => 49.03/9.99 ( 49.03/9.99 subset @ 49.03/9.99 X650 @ 49.03/9.99 X648 ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X652:$i, 49.03/9.99 X654:$i, 49.03/9.99 X656:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X656 @ 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X652 @ 49.03/9.99 X654 ) ) => 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X656 @ 49.03/9.99 X654 ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X658:$i, 49.03/9.99 X660:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ~( 49.03/9.99 ?[ 49.03/9.99 X662:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X662 @ 49.03/9.99 X658 ) & 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X662 @ 49.03/9.99 X660 ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X658 @ 49.03/9.99 X660 ) = 49.03/9.99 ( 49.03/9.99 emptyset ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X664:$i, 49.03/9.99 X666:$i]: 49.03/9.99 ( 49.03/9.99 subset @ 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X664 @ 49.03/9.99 X666 ) @ 49.03/9.99 X666 ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X668:$i, 49.03/9.99 X670:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 subset @ 49.03/9.99 X670 @ 49.03/9.99 X668 ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X668 @ 49.03/9.99 X670 ) = 49.03/9.99 ( 49.03/9.99 X670 ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X672:$i, 49.03/9.99 X674:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X672 @ 49.03/9.99 X674 ) = 49.03/9.99 ( 49.03/9.99 X672 ) ) => 49.03/9.99 ( 49.03/9.99 subset @ 49.03/9.99 X672 @ 49.03/9.99 X674 ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X676:$i, 49.03/9.99 X678:$i, 49.03/9.99 X680:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X676 @ 49.03/9.99 ( 49.03/9.99 binunion @ 49.03/9.99 X678 @ 49.03/9.99 X680 ) ) = 49.03/9.99 ( 49.03/9.99 binunion @ 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X676 @ 49.03/9.99 X678 ) @ 49.03/9.99 ( 49.03/9.99 binintersect 49.03/9.99 @ 49.03/9.99 X676 @ 49.03/9.99 X680 ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X682:$i, 49.03/9.99 X684:$i, 49.03/9.99 X686:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X686 @ 49.03/9.99 X682 ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ~( 49.03/9.99 in @ 49.03/9.99 X686 @ 49.03/9.99 X684 ) ) => 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X686 @ 49.03/9.99 ( 49.03/9.99 setminus @ 49.03/9.99 X682 @ 49.03/9.99 X684 ) ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X688:$i, 49.03/9.99 X690:$i, 49.03/9.99 X692:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X692 @ 49.03/9.99 ( 49.03/9.99 setminus @ 49.03/9.99 X688 @ 49.03/9.99 X690 ) ) => 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X692 @ 49.03/9.99 X688 ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X694:$i, 49.03/9.99 X696:$i, 49.03/9.99 X698:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X698 @ 49.03/9.99 ( 49.03/9.99 setminus @ 49.03/9.99 X694 @ 49.03/9.99 X696 ) ) => 49.03/9.99 ( 49.03/9.99 ~( 49.03/9.99 in @ 49.03/9.99 X698 @ 49.03/9.99 X696 ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X700:$i, 49.03/9.99 X702:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 subset @ 49.03/9.99 X700 @ 49.03/9.99 X702 ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 setminus @ 49.03/9.99 X700 @ 49.03/9.99 X702 ) = 49.03/9.99 ( 49.03/9.99 emptyset ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X704:$i, 49.03/9.99 X706:$i, 49.03/9.99 X708:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ~( 49.03/9.99 in @ 49.03/9.99 X708 @ 49.03/9.99 ( 49.03/9.99 setminus 49.03/9.99 @ 49.03/9.99 X704 @ 49.03/9.99 X706 ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X708 @ 49.03/9.99 X704 ) => 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X708 @ 49.03/9.99 X706 ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X710:$i, 49.03/9.99 X712:$i, 49.03/9.99 X714:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ~( 49.03/9.99 in @ 49.03/9.99 X714 @ 49.03/9.99 ( 49.03/9.99 setminus 49.03/9.99 @ 49.03/9.99 X710 @ 49.03/9.99 X712 ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ~( 49.03/9.99 in @ 49.03/9.99 X714 @ 49.03/9.99 X712 ) ) => 49.03/9.99 ( 49.03/9.99 ~( 49.03/9.99 in @ 49.03/9.99 X714 @ 49.03/9.99 X710 ) ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X716:$i, 49.03/9.99 X718:$i, 49.03/9.99 X720:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ~( 49.03/9.99 in @ 49.03/9.99 X720 @ 49.03/9.99 X716 ) ) => 49.03/9.99 ( 49.03/9.99 ~( 49.03/9.99 in @ 49.03/9.99 X720 @ 49.03/9.99 ( 49.03/9.99 setminus 49.03/9.99 @ 49.03/9.99 X716 @ 49.03/9.99 X718 ) ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X722:$i, 49.03/9.99 X724:$i, 49.03/9.99 X726:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X726 @ 49.03/9.99 X724 ) => 49.03/9.99 ( 49.03/9.99 ~( 49.03/9.99 in @ 49.03/9.99 X726 @ 49.03/9.99 ( 49.03/9.99 setminus 49.03/9.99 @ 49.03/9.99 X722 @ 49.03/9.99 X724 ) ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X728:$i, 49.03/9.99 X730:$i]: 49.03/9.99 ( 49.03/9.99 subset @ 49.03/9.99 ( 49.03/9.99 setminus @ 49.03/9.99 X728 @ 49.03/9.99 X730 ) @ 49.03/9.99 X728 ) ) => 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X732:$i, 49.03/9.99 X734:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 setminus @ 49.03/9.99 X732 @ 49.03/9.99 X734 ) = 49.03/9.99 ( 49.03/9.99 emptyset ) ) => 49.03/9.99 ( 49.03/9.99 subset @ 49.03/9.99 X732 @ 49.03/9.99 X734 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 49.03/9.99 thf(zf_stmt_1, negated_conjecture, 49.03/9.99 (~( ( ![X4:$i,X6:$i]: 49.03/9.99 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 49.03/9.99 ( ( X4 ) = ( X6 ) ) ) ) => 49.03/9.99 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 49.03/9.99 ( ( ![X12:$i,X14:$i,X16:$i]: 49.03/9.99 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 49.03/9.99 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 49.03/9.99 ( ( ![X18:$i,X20:$i]: 49.03/9.99 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 49.03/9.99 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 49.03/9.99 ( ( ![X24:$i,X26:$i]: 49.03/9.99 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 49.03/9.99 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 49.03/9.99 ( ( in @ emptyset @ omega ) => 49.03/9.99 ( ( ![X30:$i]: 49.03/9.99 ( ( in @ X30 @ omega ) => 49.03/9.99 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 49.03/9.99 ( ( ![X32:$i]: 49.03/9.99 ( ( ( ![X34:$i]: 49.03/9.99 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 49.03/9.99 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 49.03/9.99 ( in @ emptyset @ X32 ) ) => 49.03/9.99 ( ![X36:$i]: 49.03/9.99 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 49.03/9.99 ( ( ![X38:( $i > $i > $o ),X40:$i]: 49.03/9.99 ( ( ![X42:$i]: 49.03/9.99 ( ( in @ X42 @ X40 ) => 49.03/9.99 ( ?[X44:$i]: 49.03/9.99 ( ( X38 @ X42 @ X44 ) & 49.03/9.99 ( ![X46:$i]: 49.03/9.99 ( ( X38 @ X42 @ X46 ) => 49.03/9.99 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 49.03/9.99 ( ?[X48:$i]: 49.03/9.99 ( ![X50:$i]: 49.03/9.99 ( ( in @ X50 @ X48 ) <=> 49.03/9.99 ( ?[X52:$i]: 49.03/9.99 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 49.03/9.99 ( ( ![X54:$i]: 49.03/9.99 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 49.03/9.99 ( ?[X58:$i]: 49.03/9.99 ( ( in @ X58 @ X54 ) & 49.03/9.99 ( ~( ?[X60:$i]: 49.03/9.99 ( ( in @ X60 @ X58 ) & 49.03/9.99 ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 49.03/9.99 ( ( ![X62:$i]: 49.03/9.99 ( ?[X64:$i]: 49.03/9.99 ( ( ![X96:$i]: 49.03/9.99 ( ( in @ X96 @ X64 ) => 49.03/9.99 ( ![X98:$i]: 49.03/9.99 ( ( in @ X98 @ X96 ) => 49.03/9.99 ( in @ X98 @ X62 ) ) ) ) ) & 49.03/9.99 ( ![X90:$i,X92:$i]: 49.03/9.99 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 49.03/9.99 ( ( ![X94:$i]: 49.03/9.99 ( ( in @ X94 @ X64 ) => 49.03/9.99 ( ( in @ X90 @ X94 ) <=> 49.03/9.99 ( in @ X92 @ X94 ) ) ) ) => 49.03/9.99 ( ( X90 ) = ( X92 ) ) ) ) ) & 49.03/9.99 ( ![X82:$i,X84:$i]: 49.03/9.99 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 49.03/9.99 ( ( ![X88:$i]: 49.03/9.99 ( ( in @ X88 @ X84 ) => 49.03/9.99 ( in @ X88 @ X82 ) ) ) | 49.03/9.99 ( ![X86:$i]: 49.03/9.99 ( ( in @ X86 @ X82 ) => 49.03/9.99 ( in @ X86 @ X84 ) ) ) ) ) ) & 49.03/9.99 ( ![X66:$i]: 49.03/9.99 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 49.03/9.99 ( ![X68:$i]: 49.03/9.99 ( ( in @ X68 @ X66 ) => 49.03/9.99 ( in @ X68 @ X62 ) ) ) ) => 49.03/9.99 ( ?[X72:$i,X74:$i]: 49.03/9.99 ( ( in @ X72 @ X64 ) & 49.03/9.99 ( in @ X74 @ X66 ) & 49.03/9.99 ( ~( ?[X80:$i]: 49.03/9.99 ( ( in @ X80 @ X72 ) & 49.03/9.99 ( in @ X80 @ X66 ) ) ) ) & 49.03/9.99 ( ![X76:$i]: 49.03/9.99 ( ( in @ X76 @ X64 ) => 49.03/9.99 ( ( in @ X74 @ X76 ) | 49.03/9.99 ( ![X78:$i]: 49.03/9.99 ( ( in @ X78 @ X76 ) => 49.03/9.99 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 49.03/9.99 ( ( ![X100:( $i > $o )]: 49.03/9.99 ( ( ?[X102:$i]: 49.03/9.99 ( ( X100 @ X102 ) & 49.03/9.99 ( ![X104:$i]: 49.03/9.99 ( ( X100 @ X104 ) => 49.03/9.99 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 49.03/9.99 ( X100 @ 49.03/9.99 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 49.03/9.99 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 49.03/9.99 ( ( in @ X110 @ X106 ) => 49.03/9.99 ( ( X108 @ X110 ) => 49.03/9.99 ( in @ 49.03/9.99 X110 @ 49.03/9.99 ( dsetconstr @ 49.03/9.99 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 49.03/9.99 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 49.03/9.99 ( ( in @ 49.03/9.99 X116 @ 49.03/9.99 ( dsetconstr @ 49.03/9.99 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 49.03/9.99 ( in @ X116 @ X112 ) ) ) => 49.03/9.99 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 49.03/9.99 ( ( in @ 49.03/9.99 X122 @ 49.03/9.99 ( dsetconstr @ 49.03/9.99 X118 @ 49.03/9.99 ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 49.03/9.99 ( X120 @ X122 ) ) ) => 49.03/9.99 ( ( ![X124:( $i > $o )]: 49.03/9.99 ( ( ?[X126:$i]: 49.03/9.99 ( ( X124 @ X126 ) & 49.03/9.99 ( ![X128:$i]: 49.03/9.99 ( ( X124 @ X128 ) => 49.03/9.99 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 49.03/9.99 ( ?[X130:$i]: 49.03/9.99 ( ( X124 @ X130 ) & 49.03/9.99 ( ![X132:$i]: 49.03/9.99 ( ( X124 @ X132 ) => 49.03/9.99 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 49.03/9.99 ( ( ![X134:$o,X136:$i]: 49.03/9.99 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 49.03/9.99 ( X134 ) ) ) => 49.03/9.99 ( ( ![X138:$i]: 49.03/9.99 ( ( in @ X138 @ emptyset ) => 49.03/9.99 ( ![X140:$o]: ( X140 ) ) ) ) => 49.03/9.99 ( ( ![X142:$i]: 49.03/9.99 ( ~( in @ X142 @ emptyset ) ) ) => 49.03/9.99 ( ( ![X144:$i]: 49.03/9.99 ( ~( in @ X144 @ emptyset ) ) ) => 49.03/9.99 ( ( ![X146:( $i > $o )]: 49.03/9.99 ( ( ?[X148:$i]: 49.03/9.99 ( ( X146 @ X148 ) & 49.03/9.99 ( ![X150:$i]: 49.03/9.99 ( ( X146 @ X150 ) => 49.03/9.99 ( ( X148 ) = 49.03/9.99 ( X150 ) ) ) ) ) ) => 49.03/9.99 ( ?[X152:$i]: 49.03/9.99 ( X146 @ X152 ) ) ) ) => 49.03/9.99 ( ( ![X154:$i,X156:$i]: 49.03/9.99 ( ( ![X158:$i]: 49.03/9.99 ( ( in @ X158 @ X154 ) => 49.03/9.99 ( in @ X158 @ X156 ) ) ) => 49.03/9.99 ( ( ![X160:$i]: 49.03/9.99 ( ( in @ X160 @ X156 ) => 49.03/9.99 ( in @ X160 @ X154 ) ) ) => 49.03/9.99 ( ( X154 ) = ( X156 ) ) ) ) ) => 49.03/9.99 ( ( ![X162:$i]: 49.03/9.99 ( ( ![X164:$i]: 49.03/9.99 ( ~( in @ X164 @ X162 ) ) ) => 49.03/9.99 ( ( X162 ) = 49.03/9.99 ( emptyset ) ) ) ) => 49.03/9.99 ( ( ![X166:$i]: 49.03/9.99 ( ( ![X168:$i]: 49.03/9.99 ( ~( in @ 49.03/9.99 X168 @ X166 ) ) ) => 49.03/9.99 ( ( X166 ) = 49.03/9.99 ( emptyset ) ) ) ) => 49.03/9.99 ( ( ![X170:$i, 49.03/9.99 X172:( $i > $o ), 49.03/9.99 X174:$i]: 49.03/9.99 ( ( in @ X174 @ X170 ) => 49.03/9.99 ( ( in @ 49.03/9.99 X174 @ 49.03/9.99 ( dsetconstr @ 49.03/9.99 X170 @ 49.03/9.99 ( ^[V_5:$i]: 49.03/9.99 ( X172 @ 49.03/9.99 V_5 ) ) ) ) <=> 49.03/9.99 ( X172 @ X174 ) ) ) ) => 49.03/9.99 ( ( ![X176:$i]: 49.03/9.99 ( ( ( X176 ) != 49.03/9.99 ( emptyset ) ) => 49.03/9.99 ( ?[X178:$i]: 49.03/9.99 ( in @ 49.03/9.99 X178 @ X176 ) ) ) ) => 49.03/9.99 ( ( ![X180:$i, 49.03/9.99 X182:( 49.03/9.99 $i > $o ), 49.03/9.99 X184:$i]: 49.03/9.99 ( ( in @ 49.03/9.99 X184 @ X180 ) => 49.03/9.99 ( ( X182 @ X184 ) => 49.03/9.99 ( ( dsetconstr 49.03/9.99 @ 49.03/9.99 X180 @ 49.03/9.99 ( 49.03/9.99 ^[ 49.03/9.99 V_6:$i]: 49.03/9.99 ( 49.03/9.99 X182 @ 49.03/9.99 V_6 ) ) ) != 49.03/9.99 ( emptyset ) ) ) ) ) => 49.03/9.99 ( ( ![X186:$i]: 49.03/9.99 ( ( ?[X188:$i]: 49.03/9.99 ( in @ 49.03/9.99 X188 @ 49.03/9.99 X186 ) ) => 49.03/9.99 ( ( X186 ) != 49.03/9.99 ( emptyset ) ) ) ) => 49.03/9.99 ( ( ![X190:$i, 49.03/9.99 X192:$i]: 49.03/9.99 ( in @ 49.03/9.99 X190 @ 49.03/9.99 ( setadjoin 49.03/9.99 @ 49.03/9.99 X190 @ 49.03/9.99 X192 ) ) ) => 49.03/9.99 ( ( in @ 49.03/9.99 emptyset @ 49.03/9.99 ( setadjoin 49.03/9.99 @ 49.03/9.99 emptyset @ 49.03/9.99 emptyset ) ) => 49.03/9.99 ( ( ![ 49.03/9.99 X194:$i, 49.03/9.99 X196:$i, 49.03/9.99 X198:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X198 @ 49.03/9.99 X196 ) => 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X198 @ 49.03/9.99 ( 49.03/9.99 setadjoin 49.03/9.99 @ 49.03/9.99 X194 @ 49.03/9.99 X196 ) ) ) ) => 49.03/9.99 ( ( 49.03/9.99 ![ 49.03/9.99 X200:$i, 49.03/9.99 X202:$i, 49.03/9.99 X204:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X204 @ 49.03/9.99 ( 49.03/9.99 setadjoin 49.03/9.99 @ 49.03/9.99 X200 @ 49.03/9.99 X202 ) ) => 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X206:$o]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 X204 ) = 49.03/9.99 ( 49.03/9.99 X200 ) ) => 49.03/9.99 ( 49.03/9.99 X206 ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X204 @ 49.03/9.99 X202 ) => 49.03/9.99 ( 49.03/9.99 X206 ) ) => 49.03/9.99 ( 49.03/9.99 X206 ) ) ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X208:$i, 49.03/9.99 X210:$i, 49.03/9.99 X212:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X212 @ 49.03/9.99 ( 49.03/9.99 setadjoin 49.03/9.99 @ 49.03/9.99 X208 @ 49.03/9.99 X210 ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X212 @ 49.03/9.99 X210 ) | 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 X212 ) = 49.03/9.99 ( 49.03/9.99 X208 ) ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X214:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 dsetconstr 49.03/9.99 @ 49.03/9.99 X214 @ 49.03/9.99 ( 49.03/9.99 ^[ 49.03/9.99 V_7:$i]: 49.03/9.99 ( 49.03/9.99 $true ) ) ) = 49.03/9.99 ( 49.03/9.99 X214 ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X216:$i, 49.03/9.99 X218:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X220:$i]: 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X220 @ 49.03/9.99 X218 ) => 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X220 @ 49.03/9.99 X216 ) ) ) => 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 X218 @ 49.03/9.99 ( 49.03/9.99 powerset 49.03/9.99 @ 49.03/9.99 X216 ) ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/9.99 ![ 49.03/9.99 X222:$i]: 49.03/9.99 ( 49.03/9.99 in @ 49.03/9.99 emptyset @ 49.03/9.99 ( 49.03/9.99 powerset 49.03/9.99 @ 49.03/9.99 X222 ) ) ) => 49.03/9.99 ( 49.03/9.99 ( 49.03/10.00 ![ 49.03/10.00 X224:$i]: 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 emptyset @ 49.03/10.00 ( 49.03/10.00 powerset 49.03/10.00 @ 49.03/10.00 X224 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X226:$i, 49.03/10.00 X228:$i, 49.03/10.00 X230:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X228 @ 49.03/10.00 ( 49.03/10.00 powerset 49.03/10.00 @ 49.03/10.00 X226 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X230 @ 49.03/10.00 X228 ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X230 @ 49.03/10.00 X226 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X232:$i, 49.03/10.00 X234:$i, 49.03/10.00 X236:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X234 @ 49.03/10.00 X236 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X236 @ 49.03/10.00 X232 ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X234 @ 49.03/10.00 ( 49.03/10.00 setunion 49.03/10.00 @ 49.03/10.00 X232 ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X238:$i, 49.03/10.00 X240:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X240 @ 49.03/10.00 ( 49.03/10.00 setunion 49.03/10.00 @ 49.03/10.00 X238 ) ) => 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X242:$o]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X244:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X240 @ 49.03/10.00 X244 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X244 @ 49.03/10.00 X238 ) => 49.03/10.00 ( 49.03/10.00 X242 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 X242 ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X246:$i, 49.03/10.00 X248:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X248 @ 49.03/10.00 X246 ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X248 @ 49.03/10.00 ( 49.03/10.00 powerset 49.03/10.00 @ 49.03/10.00 ( 49.03/10.00 setunion 49.03/10.00 @ 49.03/10.00 X246 ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X250:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X252:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X250 @ 49.03/10.00 X252 ) & 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X254:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X250 @ 49.03/10.00 X254 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X252 ) = 49.03/10.00 ( 49.03/10.00 X254 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X256:$i]: 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X258:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X250 @ 49.03/10.00 X258 ) <=> 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X258 ) = 49.03/10.00 ( 49.03/10.00 X256 ) ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X260:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X260 ) != 49.03/10.00 ( 49.03/10.00 emptyset ) ) => 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X262:$i]: 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X262 @ 49.03/10.00 X260 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X264:$i, 49.03/10.00 X266:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X264 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X266 @ 49.03/10.00 emptyset ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X264 ) = 49.03/10.00 ( 49.03/10.00 X266 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X268:$i, 49.03/10.00 X270:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X268 ) != 49.03/10.00 ( 49.03/10.00 X270 ) ) => 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X270 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X268 @ 49.03/10.00 emptyset ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X272:$i, 49.03/10.00 X274:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X272 ) = 49.03/10.00 ( 49.03/10.00 X274 ) ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X272 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X274 @ 49.03/10.00 emptyset ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X276:$i, 49.03/10.00 X278:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X276 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X278 @ 49.03/10.00 emptyset ) ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X278 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X276 @ 49.03/10.00 emptyset ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X280:$i, 49.03/10.00 X282:$i, 49.03/10.00 X284:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X284 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X280 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X282 @ 49.03/10.00 emptyset ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X284 ) = 49.03/10.00 ( 49.03/10.00 X282 ) ) | 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X284 ) = 49.03/10.00 ( 49.03/10.00 X280 ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X286:$i, 49.03/10.00 X288:$i]: 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X286 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X286 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X288 @ 49.03/10.00 emptyset ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X290:$i, 49.03/10.00 X292:$i]: 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X292 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X290 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X292 @ 49.03/10.00 emptyset ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X294:$i, 49.03/10.00 X296:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X298:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X298 @ 49.03/10.00 X294 ) & 49.03/10.00 ( 49.03/10.00 X296 @ 49.03/10.00 X298 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 dsetconstr 49.03/10.00 @ 49.03/10.00 X294 @ 49.03/10.00 ( 49.03/10.00 ^[ 49.03/10.00 V_8:$i]: 49.03/10.00 ( 49.03/10.00 X296 @ 49.03/10.00 V_8 ) ) ) != 49.03/10.00 ( 49.03/10.00 emptyset ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X300:( 49.03/10.00 $i > $o ), 49.03/10.00 X302:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X302 @ 49.03/10.00 emptyset ) => 49.03/10.00 ( 49.03/10.00 X300 @ 49.03/10.00 X302 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X304:$i, 49.03/10.00 X306:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X308:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X308 @ 49.03/10.00 X304 ) => 49.03/10.00 ( 49.03/10.00 X306 @ 49.03/10.00 X308 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X310:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X310 @ 49.03/10.00 X304 ) & 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 X306 @ 49.03/10.00 X310 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X312:$i, 49.03/10.00 X314:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X316:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X316 @ 49.03/10.00 X312 ) => 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 X314 @ 49.03/10.00 X316 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X318:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X318 @ 49.03/10.00 X312 ) & 49.03/10.00 ( 49.03/10.00 X314 @ 49.03/10.00 X318 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X320:$i, 49.03/10.00 X322:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X324:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X324 @ 49.03/10.00 X320 ) & 49.03/10.00 ( 49.03/10.00 X322 @ 49.03/10.00 X324 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X326:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X326 @ 49.03/10.00 X320 ) => 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 X322 @ 49.03/10.00 X326 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X328:$i, 49.03/10.00 X330:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X332:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X332 @ 49.03/10.00 X328 ) & 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 X330 @ 49.03/10.00 X332 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X334:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X334 @ 49.03/10.00 X328 ) => 49.03/10.00 ( 49.03/10.00 X330 @ 49.03/10.00 X334 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X336:$o]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X336 ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 emptyset @ 49.03/10.00 ( 49.03/10.00 prop2set 49.03/10.00 @ 49.03/10.00 X336 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X338:$o]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X338 ) => 49.03/10.00 ( 49.03/10.00 set2prop 49.03/10.00 @ 49.03/10.00 ( 49.03/10.00 prop2set 49.03/10.00 @ 49.03/10.00 X338 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X340:$i, 49.03/10.00 X342:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X344:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X344 @ 49.03/10.00 X340 ) & 49.03/10.00 ( 49.03/10.00 X342 @ 49.03/10.00 X344 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X346:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X346 @ 49.03/10.00 X340 ) => 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 X342 @ 49.03/10.00 X346 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X348:$i, 49.03/10.00 X350:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X352:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X352 @ 49.03/10.00 X348 ) => 49.03/10.00 ( 49.03/10.00 X350 @ 49.03/10.00 X352 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X354:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X354 @ 49.03/10.00 X348 ) & 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 X350 @ 49.03/10.00 X354 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X356:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X358:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X356 @ 49.03/10.00 X358 ) & 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X360:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X356 @ 49.03/10.00 X360 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X358 ) = 49.03/10.00 ( 49.03/10.00 X360 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X362:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X356 @ 49.03/10.00 X362 ) & 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X364:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X356 @ 49.03/10.00 X364 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X362 ) = 49.03/10.00 ( 49.03/10.00 X364 ) ) ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X366:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X368:$i]: 49.03/10.00 ( 49.03/10.00 X366 @ 49.03/10.00 X368 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X370:$i, 49.03/10.00 X372:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X366 @ 49.03/10.00 X370 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X366 @ 49.03/10.00 X372 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X370 ) = 49.03/10.00 ( 49.03/10.00 X372 ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X374:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X366 @ 49.03/10.00 X374 ) & 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X376:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X366 @ 49.03/10.00 X376 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X374 ) = 49.03/10.00 ( 49.03/10.00 X376 ) ) ) ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X378:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X380:$i]: 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X382:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X378 @ 49.03/10.00 X382 ) <=> 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X382 ) = 49.03/10.00 ( 49.03/10.00 X380 ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X384:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X378 @ 49.03/10.00 X384 ) & 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X386:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X378 @ 49.03/10.00 X386 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X384 ) = 49.03/10.00 ( 49.03/10.00 X386 ) ) ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X388:$i, 49.03/10.00 X390:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X388 ) = 49.03/10.00 ( 49.03/10.00 X390 ) ) => 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X392:$i, 49.03/10.00 X394:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X392 ) = 49.03/10.00 ( 49.03/10.00 X394 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X392 @ 49.03/10.00 X388 ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X394 @ 49.03/10.00 X390 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X396:$i, 49.03/10.00 X398:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X396 ) = 49.03/10.00 ( 49.03/10.00 X398 ) ) => 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X400:$i, 49.03/10.00 X402:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X400 ) = 49.03/10.00 ( 49.03/10.00 X402 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X400 @ 49.03/10.00 X396 ) <=> 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X402 @ 49.03/10.00 X398 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X404:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X406:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X404 @ 49.03/10.00 X406 ) & 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X408:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X404 @ 49.03/10.00 X408 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X406 ) = 49.03/10.00 ( 49.03/10.00 X408 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X410:$i, 49.03/10.00 X412:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X404 @ 49.03/10.00 X410 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X404 @ 49.03/10.00 X412 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X410 ) = 49.03/10.00 ( 49.03/10.00 X412 ) ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X414:( 49.03/10.00 $i > $o ), 49.03/10.00 X416:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X418:$i, 49.03/10.00 X420:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X418 ) = 49.03/10.00 ( 49.03/10.00 X420 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X414 @ 49.03/10.00 X418 ) <=> 49.03/10.00 ( 49.03/10.00 X416 @ 49.03/10.00 X420 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X422:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X414 @ 49.03/10.00 X422 ) & 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X424:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X414 @ 49.03/10.00 X424 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X422 ) = 49.03/10.00 ( 49.03/10.00 X424 ) ) ) ) ) ) <=> 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X426:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X416 @ 49.03/10.00 X426 ) & 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X428:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X416 @ 49.03/10.00 X428 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X426 ) = 49.03/10.00 ( 49.03/10.00 X428 ) ) ) ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 emptyset ) = 49.03/10.00 ( 49.03/10.00 emptyset ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X430:$i, 49.03/10.00 X432:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X430 ) = 49.03/10.00 ( 49.03/10.00 X432 ) ) => 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X434:$i, 49.03/10.00 X436:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X434 ) = 49.03/10.00 ( 49.03/10.00 X436 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X430 @ 49.03/10.00 X434 ) = 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X432 @ 49.03/10.00 X436 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X438:$i, 49.03/10.00 X440:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X438 ) = 49.03/10.00 ( 49.03/10.00 X440 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 powerset 49.03/10.00 @ 49.03/10.00 X438 ) = 49.03/10.00 ( 49.03/10.00 powerset 49.03/10.00 @ 49.03/10.00 X440 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X442:$i, 49.03/10.00 X444:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X442 ) = 49.03/10.00 ( 49.03/10.00 X444 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 setunion 49.03/10.00 @ 49.03/10.00 X442 ) = 49.03/10.00 ( 49.03/10.00 setunion 49.03/10.00 @ 49.03/10.00 X444 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 omega ) = 49.03/10.00 ( 49.03/10.00 omega ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X446:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X448:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X446 @ 49.03/10.00 X448 ) & 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X450:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X446 @ 49.03/10.00 X450 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X448 ) = 49.03/10.00 ( 49.03/10.00 X450 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X452:$i, 49.03/10.00 X454:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X446 @ 49.03/10.00 X452 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X446 @ 49.03/10.00 X454 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X452 ) = 49.03/10.00 ( 49.03/10.00 X454 ) ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X456:( 49.03/10.00 $i > $o ), 49.03/10.00 X458:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X460:$i, 49.03/10.00 X462:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X460 ) = 49.03/10.00 ( 49.03/10.00 X462 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X456 @ 49.03/10.00 X460 ) <=> 49.03/10.00 ( 49.03/10.00 X458 @ 49.03/10.00 X462 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X464:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X456 @ 49.03/10.00 X464 ) & 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X466:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X456 @ 49.03/10.00 X466 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X464 ) = 49.03/10.00 ( 49.03/10.00 X466 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X468:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X458 @ 49.03/10.00 X468 ) & 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X470:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X458 @ 49.03/10.00 X470 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X468 ) = 49.03/10.00 ( 49.03/10.00 X470 ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 descr @ 49.03/10.00 ( 49.03/10.00 ^[ 49.03/10.00 V_9:$i]: 49.03/10.00 ( 49.03/10.00 X456 @ 49.03/10.00 V_9 ) ) ) = 49.03/10.00 ( 49.03/10.00 descr @ 49.03/10.00 ( 49.03/10.00 ^[ 49.03/10.00 V_10:$i]: 49.03/10.00 ( 49.03/10.00 X458 @ 49.03/10.00 V_10 ) ) ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X472:$i, 49.03/10.00 X474:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X472 ) = 49.03/10.00 ( 49.03/10.00 X474 ) ) => 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X476:( 49.03/10.00 $i > $o ), 49.03/10.00 X478:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X480:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X480 @ 49.03/10.00 X472 ) => 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X482:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X482 @ 49.03/10.00 X474 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X480 ) = 49.03/10.00 ( 49.03/10.00 X482 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X476 @ 49.03/10.00 X480 ) <=> 49.03/10.00 ( 49.03/10.00 X478 @ 49.03/10.00 X482 ) ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 dsetconstr 49.03/10.00 @ 49.03/10.00 X472 @ 49.03/10.00 ( 49.03/10.00 ^[ 49.03/10.00 V_11:$i]: 49.03/10.00 ( 49.03/10.00 X476 @ 49.03/10.00 V_11 ) ) ) = 49.03/10.00 ( 49.03/10.00 dsetconstr 49.03/10.00 @ 49.03/10.00 X474 @ 49.03/10.00 ( 49.03/10.00 ^[ 49.03/10.00 V_12:$i]: 49.03/10.00 ( 49.03/10.00 X478 @ 49.03/10.00 V_12 ) ) ) ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X484:$i, 49.03/10.00 X486:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X488:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X488 @ 49.03/10.00 X484 ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X488 @ 49.03/10.00 X486 ) ) ) => 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X484 @ 49.03/10.00 X486 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X490:$i, 49.03/10.00 X492:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X490 ) = 49.03/10.00 ( 49.03/10.00 X492 ) ) => 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X492 @ 49.03/10.00 X490 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X494:$i, 49.03/10.00 X496:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X494 ) = 49.03/10.00 ( 49.03/10.00 X496 ) ) => 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X494 @ 49.03/10.00 X496 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X498:$i, 49.03/10.00 X500:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X502:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X502 @ 49.03/10.00 X498 ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X502 @ 49.03/10.00 X500 ) ) ) => 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X498 @ 49.03/10.00 X500 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X504:$i]: 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 emptyset @ 49.03/10.00 X504 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X506:$i, 49.03/10.00 X508:$i, 49.03/10.00 X510:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X506 @ 49.03/10.00 X508 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X510 @ 49.03/10.00 X506 ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X510 @ 49.03/10.00 X508 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X512:$i, 49.03/10.00 X514:$i, 49.03/10.00 X516:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X512 @ 49.03/10.00 X514 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X516 @ 49.03/10.00 X514 ) ) => 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X516 @ 49.03/10.00 X512 ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X518:$i, 49.03/10.00 X520:$i, 49.03/10.00 X522:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X522 @ 49.03/10.00 X518 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X522 @ 49.03/10.00 X520 ) ) => 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X518 @ 49.03/10.00 X520 ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X524:$i, 49.03/10.00 X526:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X524 @ 49.03/10.00 X526 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X524 ) != 49.03/10.00 ( 49.03/10.00 X526 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X528:$i, 49.03/10.00 X530:$i, 49.03/10.00 X532:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X532 @ 49.03/10.00 X528 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X532 @ 49.03/10.00 X530 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X528 ) != 49.03/10.00 ( 49.03/10.00 X530 ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X534:$i]: 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X534 @ 49.03/10.00 X534 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X536:$i, 49.03/10.00 X538:$i, 49.03/10.00 X540:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X536 @ 49.03/10.00 X538 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X538 @ 49.03/10.00 X540 ) => 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X536 @ 49.03/10.00 X540 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X542:$i, 49.03/10.00 X544:$i]: 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X544 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X542 @ 49.03/10.00 X544 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X546:$i, 49.03/10.00 X548:$i, 49.03/10.00 X550:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X546 @ 49.03/10.00 X550 ) => 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X546 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X548 @ 49.03/10.00 X550 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X552:$i, 49.03/10.00 X554:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X552 @ 49.03/10.00 X554 ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X552 @ 49.03/10.00 ( 49.03/10.00 powerset 49.03/10.00 @ 49.03/10.00 X554 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X556:$i, 49.03/10.00 X558:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X556 @ 49.03/10.00 X558 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X558 @ 49.03/10.00 X556 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X556 ) = 49.03/10.00 ( 49.03/10.00 X558 ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X560:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X560 @ 49.03/10.00 emptyset ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 X560 ) = 49.03/10.00 ( 49.03/10.00 emptyset ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X562:$i, 49.03/10.00 X564:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X564 @ 49.03/10.00 X562 ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X564 @ 49.03/10.00 ( 49.03/10.00 powerset 49.03/10.00 @ 49.03/10.00 X562 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X566:$i, 49.03/10.00 X568:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X568 @ 49.03/10.00 ( 49.03/10.00 powerset 49.03/10.00 @ 49.03/10.00 X566 ) ) => 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X568 @ 49.03/10.00 X566 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X570:$i]: 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X570 @ 49.03/10.00 ( 49.03/10.00 powerset 49.03/10.00 @ 49.03/10.00 X570 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X572:$i, 49.03/10.00 X574:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X572 @ 49.03/10.00 X574 ) => 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 ( 49.03/10.00 powerset 49.03/10.00 @ 49.03/10.00 X572 ) @ 49.03/10.00 ( 49.03/10.00 powerset 49.03/10.00 @ 49.03/10.00 X574 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X576:$i, 49.03/10.00 X578:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 ( 49.03/10.00 dsetconstr 49.03/10.00 @ 49.03/10.00 X576 @ 49.03/10.00 ( 49.03/10.00 ^[ 49.03/10.00 V_13:$i]: 49.03/10.00 ( 49.03/10.00 X578 @ 49.03/10.00 V_13 ) ) ) @ 49.03/10.00 ( 49.03/10.00 powerset 49.03/10.00 @ 49.03/10.00 X576 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X580:$i, 49.03/10.00 X582:( 49.03/10.00 $i > $o )]: 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 ( 49.03/10.00 dsetconstr 49.03/10.00 @ 49.03/10.00 X580 @ 49.03/10.00 ( 49.03/10.00 ^[ 49.03/10.00 V_14:$i]: 49.03/10.00 ( 49.03/10.00 X582 @ 49.03/10.00 V_14 ) ) ) @ 49.03/10.00 X580 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X584:$i, 49.03/10.00 X586:$i, 49.03/10.00 X588:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X588 @ 49.03/10.00 X584 ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X588 @ 49.03/10.00 ( 49.03/10.00 binunion 49.03/10.00 @ 49.03/10.00 X584 @ 49.03/10.00 X586 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X590:$i, 49.03/10.00 X592:$i]: 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X592 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X590 @ 49.03/10.00 ( 49.03/10.00 setadjoin 49.03/10.00 @ 49.03/10.00 X592 @ 49.03/10.00 emptyset ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X594:$i, 49.03/10.00 X596:$i, 49.03/10.00 X598:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X598 @ 49.03/10.00 X596 ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X598 @ 49.03/10.00 ( 49.03/10.00 binunion 49.03/10.00 @ 49.03/10.00 X594 @ 49.03/10.00 X596 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X600:$i, 49.03/10.00 X602:$i, 49.03/10.00 X604:$i, 49.03/10.00 X606:$o]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X604 @ 49.03/10.00 ( 49.03/10.00 binunion 49.03/10.00 @ 49.03/10.00 X600 @ 49.03/10.00 X602 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X604 @ 49.03/10.00 X600 ) => 49.03/10.00 ( 49.03/10.00 X606 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X604 @ 49.03/10.00 X602 ) => 49.03/10.00 ( 49.03/10.00 X606 ) ) => 49.03/10.00 ( 49.03/10.00 X606 ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X608:$i, 49.03/10.00 X610:$i, 49.03/10.00 X612:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X612 @ 49.03/10.00 ( 49.03/10.00 binunion 49.03/10.00 @ 49.03/10.00 X608 @ 49.03/10.00 X610 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X612 @ 49.03/10.00 X610 ) | 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X612 @ 49.03/10.00 X608 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X614:$i, 49.03/10.00 X616:$i]: 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X614 @ 49.03/10.00 ( 49.03/10.00 binunion 49.03/10.00 @ 49.03/10.00 X614 @ 49.03/10.00 X616 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X618:$i, 49.03/10.00 X620:$i]: 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X620 @ 49.03/10.00 ( 49.03/10.00 binunion 49.03/10.00 @ 49.03/10.00 X618 @ 49.03/10.00 X620 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X622:$i, 49.03/10.00 X624:$i, 49.03/10.00 X626:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X626 @ 49.03/10.00 X622 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X626 @ 49.03/10.00 X624 ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X626 @ 49.03/10.00 ( 49.03/10.00 binintersect 49.03/10.00 @ 49.03/10.00 X622 @ 49.03/10.00 X624 ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X628:$i, 49.03/10.00 X630:$i, 49.03/10.00 X632:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X632 @ 49.03/10.00 X628 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X632 @ 49.03/10.00 X630 ) => 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X632 @ 49.03/10.00 ( 49.03/10.00 binintersect 49.03/10.00 @ 49.03/10.00 X628 @ 49.03/10.00 X630 ) ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X634:$i, 49.03/10.00 X636:$i, 49.03/10.00 X638:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X638 @ 49.03/10.00 ( 49.03/10.00 binintersect 49.03/10.00 @ 49.03/10.00 X634 @ 49.03/10.00 X636 ) ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X638 @ 49.03/10.00 X634 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X640:$i, 49.03/10.00 X642:$i]: 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 ( 49.03/10.00 binintersect 49.03/10.00 @ 49.03/10.00 X640 @ 49.03/10.00 X642 ) @ 49.03/10.00 X640 ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X644:$i, 49.03/10.00 X646:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X644 @ 49.03/10.00 X646 ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 binintersect 49.03/10.00 @ 49.03/10.00 X644 @ 49.03/10.00 X646 ) = 49.03/10.00 ( 49.03/10.00 X644 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X648:$i, 49.03/10.00 X650:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 binintersect 49.03/10.00 @ 49.03/10.00 X648 @ 49.03/10.00 X650 ) = 49.03/10.00 ( 49.03/10.00 X650 ) ) => 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 X650 @ 49.03/10.00 X648 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X652:$i, 49.03/10.00 X654:$i, 49.03/10.00 X656:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X656 @ 49.03/10.00 ( 49.03/10.00 binintersect 49.03/10.00 @ 49.03/10.00 X652 @ 49.03/10.00 X654 ) ) => 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X656 @ 49.03/10.00 X654 ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X658:$i, 49.03/10.00 X660:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ~ 49.03/10.00 ( 49.03/10.00 ?[ 49.03/10.00 X662:$i]: 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X662 @ 49.03/10.00 X658 ) & 49.03/10.00 ( 49.03/10.00 in @ 49.03/10.00 X662 @ 49.03/10.00 X660 ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 binintersect 49.03/10.00 @ 49.03/10.00 X658 @ 49.03/10.00 X660 ) = 49.03/10.00 ( 49.03/10.00 emptyset ) ) ) ) => 49.03/10.00 ( 49.03/10.00 ( 49.03/10.00 ![ 49.03/10.00 X664:$i, 49.03/10.00 X666:$i]: 49.03/10.00 ( 49.03/10.00 subset @ 49.03/10.00 ( 49.03/10.00 binintersect 49.03/10.01 @ 49.03/10.01 X664 @ 49.03/10.01 X666 ) @ 49.03/10.01 X666 ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ![ 49.03/10.01 X668:$i, 49.03/10.01 X670:$i]: 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 subset @ 49.03/10.01 X670 @ 49.03/10.01 X668 ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 binintersect 49.03/10.01 @ 49.03/10.01 X668 @ 49.03/10.01 X670 ) = 49.03/10.01 ( 49.03/10.01 X670 ) ) ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ![ 49.03/10.01 X672:$i, 49.03/10.01 X674:$i]: 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 binintersect 49.03/10.01 @ 49.03/10.01 X672 @ 49.03/10.01 X674 ) = 49.03/10.01 ( 49.03/10.01 X672 ) ) => 49.03/10.01 ( 49.03/10.01 subset @ 49.03/10.01 X672 @ 49.03/10.01 X674 ) ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ![ 49.03/10.01 X676:$i, 49.03/10.01 X678:$i, 49.03/10.01 X680:$i]: 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 binintersect 49.03/10.01 @ 49.03/10.01 X676 @ 49.03/10.01 ( 49.03/10.01 binunion 49.03/10.01 @ 49.03/10.01 X678 @ 49.03/10.01 X680 ) ) = 49.03/10.01 ( 49.03/10.01 binunion 49.03/10.01 @ 49.03/10.01 ( 49.03/10.01 binintersect 49.03/10.01 @ 49.03/10.01 X676 @ 49.03/10.01 X678 ) @ 49.03/10.01 ( 49.03/10.01 binintersect 49.03/10.01 @ 49.03/10.01 X676 @ 49.03/10.01 X680 ) ) ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ![ 49.03/10.01 X682:$i, 49.03/10.01 X684:$i, 49.03/10.01 X686:$i]: 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X686 @ 49.03/10.01 X682 ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ~ 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X686 @ 49.03/10.01 X684 ) ) => 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X686 @ 49.03/10.01 ( 49.03/10.01 setminus 49.03/10.01 @ 49.03/10.01 X682 @ 49.03/10.01 X684 ) ) ) ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ![ 49.03/10.01 X688:$i, 49.03/10.01 X690:$i, 49.03/10.01 X692:$i]: 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X692 @ 49.03/10.01 ( 49.03/10.01 setminus 49.03/10.01 @ 49.03/10.01 X688 @ 49.03/10.01 X690 ) ) => 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X692 @ 49.03/10.01 X688 ) ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ![ 49.03/10.01 X694:$i, 49.03/10.01 X696:$i, 49.03/10.01 X698:$i]: 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X698 @ 49.03/10.01 ( 49.03/10.01 setminus 49.03/10.01 @ 49.03/10.01 X694 @ 49.03/10.01 X696 ) ) => 49.03/10.01 ( 49.03/10.01 ~ 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X698 @ 49.03/10.01 X696 ) ) ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ![ 49.03/10.01 X700:$i, 49.03/10.01 X702:$i]: 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 subset @ 49.03/10.01 X700 @ 49.03/10.01 X702 ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 setminus 49.03/10.01 @ 49.03/10.01 X700 @ 49.03/10.01 X702 ) = 49.03/10.01 ( 49.03/10.01 emptyset ) ) ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ![ 49.03/10.01 X704:$i, 49.03/10.01 X706:$i, 49.03/10.01 X708:$i]: 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ~ 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X708 @ 49.03/10.01 ( 49.03/10.01 setminus 49.03/10.01 @ 49.03/10.01 X704 @ 49.03/10.01 X706 ) ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X708 @ 49.03/10.01 X704 ) => 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X708 @ 49.03/10.01 X706 ) ) ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ![ 49.03/10.01 X710:$i, 49.03/10.01 X712:$i, 49.03/10.01 X714:$i]: 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ~ 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X714 @ 49.03/10.01 ( 49.03/10.01 setminus 49.03/10.01 @ 49.03/10.01 X710 @ 49.03/10.01 X712 ) ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ~ 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X714 @ 49.03/10.01 X712 ) ) => 49.03/10.01 ( 49.03/10.01 ~ 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X714 @ 49.03/10.01 X710 ) ) ) ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ![ 49.03/10.01 X716:$i, 49.03/10.01 X718:$i, 49.03/10.01 X720:$i]: 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ~ 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X720 @ 49.03/10.01 X716 ) ) => 49.03/10.01 ( 49.03/10.01 ~ 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X720 @ 49.03/10.01 ( 49.03/10.01 setminus 49.03/10.01 @ 49.03/10.01 X716 @ 49.03/10.01 X718 ) ) ) ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ![ 49.03/10.01 X722:$i, 49.03/10.01 X724:$i, 49.03/10.01 X726:$i]: 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X726 @ 49.03/10.01 X724 ) => 49.03/10.01 ( 49.03/10.01 ~ 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 X726 @ 49.03/10.01 ( 49.03/10.01 setminus 49.03/10.01 @ 49.03/10.01 X722 @ 49.03/10.01 X724 ) ) ) ) ) => 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ![ 49.03/10.01 X728:$i, 49.03/10.01 X730:$i]: 49.03/10.01 ( 49.03/10.01 subset @ 49.03/10.01 ( 49.03/10.01 setminus 49.03/10.01 @ 49.03/10.01 X728 @ 49.03/10.01 X730 ) @ 49.03/10.01 X728 ) ) => 49.03/10.01 ( 49.03/10.01 ![ 49.03/10.01 X732:$i, 49.03/10.01 X734:$i]: 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 setminus 49.03/10.01 @ 49.03/10.01 X732 @ 49.03/10.01 X734 ) = 49.03/10.01 ( 49.03/10.01 emptyset ) ) => 49.03/10.01 ( 49.03/10.01 subset @ 49.03/10.01 X732 @ 49.03/10.01 X734 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 49.03/10.01 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 49.03/10.01 thf(zip_derived_cl1350, plain, 49.03/10.01 (~ (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((!!) @ (^[Y1 : $i]: 49.03/10.01 (((((!!) @ (^[Y2 : $i]: 49.03/10.01 (((in @ Y2 @ Y0) <=> (in @ 49.03/10.01 Y2 @ Y1)))))) => 49.03/10.01 (((Y0) = (Y1))))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((!!) @ (^[Y1 : $i]: 49.03/10.01 (((!!) @ (^[Y2 : $i]: 49.03/10.01 (((in @ Y2 @ 49.03/10.01 (setadjoin @ Y0 @ Y1)) <=> 49.03/10.01 (((in @ Y2 @ Y1) | 49.03/10.01 (((Y2) = (Y0)))))))))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((!!) @ (^[Y1 : $i]: 49.03/10.01 (((in @ Y1 @ (powerset @ Y0)) <=> 49.03/10.01 (((!!) @ (^[Y2 : $i]: 49.03/10.01 (((in @ Y2 @ Y1) => 49.03/10.01 (in @ Y2 @ Y0)))))))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((!!) @ (^[Y1 : $i]: 49.03/10.01 (((in @ Y1 @ (setunion @ Y0)) <=> 49.03/10.01 (((??) @ (^[Y2 : $i]: 49.03/10.01 (((in @ Y1 @ Y2) & 49.03/10.01 (in @ Y2 @ Y0)))))))))))))) => 49.03/10.01 (((in @ emptyset @ omega) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((in @ Y0 @ omega) => (in @ 49.03/10.01 (setadjoin @ Y0 @ Y0) @ omega)))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((((((!!) @ (^[Y1 : $i]: 49.03/10.01 (((((in @ Y1 @ Y0) & 49.03/10.01 (in @ Y1 @ omega))) => 49.03/10.01 (in @ 49.03/10.01 (setadjoin @ Y1 @ Y1) @ 49.03/10.01 Y0)))))) & 49.03/10.01 (in @ emptyset @ Y0))) => 49.03/10.01 (((!!) @ (^[Y1 : $i]: 49.03/10.01 (((in @ Y1 @ omega) => 49.03/10.01 (in @ Y1 @ Y0))))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i > $i > $o]: 49.03/10.01 (((!!) @ (^[Y1 : $i]: 49.03/10.01 (((((!!) @ (^[Y2 : $i]: 49.03/10.01 (((in @ Y2 @ 49.03/10.01 Y1) => 49.03/10.01 (((??) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2 @ 49.03/10.01 Y3) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y4 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2 @ 49.03/10.01 Y4) => 49.03/10.01 (( 49.03/10.01 (Y3) = 49.03/10.01 (Y4)))))))))))))))))) => 49.03/10.01 (((??) @ (^[Y2 : $i]: 49.03/10.01 (((!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y3 @ 49.03/10.01 Y2) <=> 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y4 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y4 @ 49.03/10.01 Y1) & 49.03/10.01 (Y0 @ 49.03/10.01 Y4 @ Y3)))))))))))))))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 49.03/10.01 (((??) @ (^[Y1 : $i]: 49.03/10.01 (((in @ Y1 @ Y0) & 49.03/10.01 (((~) @ (((??) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) & 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y0)))))))))))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((??) @ (^[Y1 : $i]: 49.03/10.01 (((((!!) @ (^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y3 @ 49.03/10.01 Y2) => 49.03/10.01 (in @ 49.03/10.01 Y3 @ Y0))))))))))) & 49.03/10.01 (((!!) @ (^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y3 @ 49.03/10.01 Y0) & 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y0))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y4 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y4 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y4) <=> 49.03/10.01 (in @ 49.03/10.01 Y3 @ Y4)))))))) => 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y3))))))))))))) & 49.03/10.01 (((!!) @ (^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y3 @ 49.03/10.01 Y1) & 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y1))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y4 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y4 @ 49.03/10.01 Y3) => 49.03/10.01 (in @ 49.03/10.01 Y4 @ Y2)))))) | 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y4 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y4 @ 49.03/10.01 Y2) => 49.03/10.01 (in @ 49.03/10.01 Y4 @ Y3)))))))))))))))) & 49.03/10.01 (((!!) @ (^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (in @ 49.03/10.01 Y3 @ Y2)))) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y3 @ 49.03/10.01 Y2) => 49.03/10.01 (in @ 49.03/10.01 Y3 @ Y0)))))))) => 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y4 : $i]: 49.03/10.01 (( 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 Y3 @ Y1) & 49.03/10.01 ( 49.03/10.01 in @ 49.03/10.01 Y4 @ Y2) & 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 (~) @ ( 49.03/10.01 ( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y5 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y5 @ 49.03/10.01 Y3) & 49.03/10.01 (in @ 49.03/10.01 Y5 @ Y2)))))))) & 49.03/10.01 ( 49.03/10.01 ( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y5 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y5 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y4 @ 49.03/10.01 Y5) | 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y6 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y6 @ 49.03/10.01 Y5) => 49.03/10.01 (in @ 49.03/10.01 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i > $o]: 49.03/10.01 (((((??) @ (^[Y1 : $i]: 49.03/10.01 (((Y0 @ Y1) & 49.03/10.01 (((!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (((Y0 @ Y2) => 49.03/10.01 (((Y1) = 49.03/10.01 (Y2))))))))))))) => 49.03/10.01 (Y0 @ (descr @ Y0))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((!!) @ (^[Y1 : $i > $o]: 49.03/10.01 (((!!) @ (^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (Y1 @ 49.03/10.01 Y2) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 dsetconstr @ 49.03/10.01 Y0 @ Y1))))))))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((!!) @ (^[Y1 : $i > $o]: 49.03/10.01 (((!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (((in @ Y2 @ 49.03/10.01 (dsetconstr @ 49.03/10.01 Y0 @ Y1)) => 49.03/10.01 (in @ Y2 @ 49.03/10.01 Y0)))))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((!!) @ (^[Y1 : $i > $o]: 49.03/10.01 (((!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (((in @ 49.03/10.01 Y2 @ 49.03/10.01 (dsetconstr @ 49.03/10.01 Y0 @ Y1)) => 49.03/10.01 (Y1 @ Y2)))))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i > $o]: 49.03/10.01 (((((??) @ (^[Y1 : $i]: 49.03/10.01 (((Y0 @ 49.03/10.01 Y1) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (Y1) = 49.03/10.01 (Y2))))))))))))) => 49.03/10.01 (((??) @ (^[Y1 : $i]: 49.03/10.01 (((Y0 @ 49.03/10.01 Y1) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (Y1) = 49.03/10.01 (Y2)))))))))))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $o]: 49.03/10.01 (((!!) @ (^[Y1 : $i]: 49.03/10.01 (((in @ 49.03/10.01 Y1 @ 49.03/10.01 (prop2set @ 49.03/10.01 Y0)) => 49.03/10.01 (Y0))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((in @ Y0 @ 49.03/10.01 emptyset) => 49.03/10.01 (((!!) @ (^[Y1 : $o]: 49.03/10.01 (Y1))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((~) @ (in @ Y0 @ 49.03/10.01 emptyset)))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((~) @ (in @ 49.03/10.01 Y0 @ 49.03/10.01 emptyset)))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i > $o]: 49.03/10.01 (((((??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y1) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (Y1) = 49.03/10.01 (Y2))))))))))))) => 49.03/10.01 (((??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (Y0 @ Y1))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y1)))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y0)))))) => 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (Y1))))))))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (((( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y1 @ Y0)))))) => 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (emptyset)))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y1 @ Y0)))))) => 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (emptyset)))))))) => 49.03/10.01 (((((!!) @ (^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 dsetconstr @ 49.03/10.01 Y0 @ Y1)) <=> 49.03/10.01 (Y1 @ Y2)))))))))))))) => 49.03/10.01 (((((!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (((((Y0) != 49.03/10.01 (emptyset))) => 49.03/10.01 (((??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (in @ 49.03/10.01 Y1 @ Y0))))))))) => 49.03/10.01 (((((!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (((!!) @ ( 49.03/10.01 ^[Y1 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (Y1 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (dsetconstr @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) != 49.03/10.01 (emptyset)))))))))))))))) => 49.03/10.01 (((((!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (in @ 49.03/10.01 Y1 @ Y0)))) => 49.03/10.01 (( 49.03/10.01 (Y0) != 49.03/10.01 (emptyset)))))))) => 49.03/10.01 (((((!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (in @ 49.03/10.01 Y0 @ 49.03/10.01 (setadjoin @ 49.03/10.01 Y0 @ Y1)))))))) => 49.03/10.01 (((in @ 49.03/10.01 emptyset @ 49.03/10.01 (setadjoin @ 49.03/10.01 emptyset @ 49.03/10.01 emptyset)) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 setadjoin @ 49.03/10.01 Y0 @ Y1))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 setadjoin @ 49.03/10.01 Y0 @ Y1)) => 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y0))) => 49.03/10.01 (Y3))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) => 49.03/10.01 (Y3))) => 49.03/10.01 (Y3))))))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 setadjoin @ 49.03/10.01 Y0 @ Y1)) => 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) | 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y0)))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (dsetconstr @ 49.03/10.01 Y0 @ 49.03/10.01 ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 ($true))) = 49.03/10.01 (Y0)))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y0)))))) => 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 ( 49.03/10.01 powerset @ 49.03/10.01 Y0)))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (in @ 49.03/10.01 emptyset @ 49.03/10.01 (powerset @ 49.03/10.01 Y0))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (in @ 49.03/10.01 emptyset @ 49.03/10.01 (powerset @ 49.03/10.01 Y0))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 ( 49.03/10.01 powerset @ 49.03/10.01 Y0)) => 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y0)))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 ( 49.03/10.01 setunion @ 49.03/10.01 Y0))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 ( 49.03/10.01 setunion @ 49.03/10.01 Y0)) => 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 Y3) => 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y3 @ 49.03/10.01 Y0) => 49.03/10.01 (Y2)))))))) => 49.03/10.01 (Y2)))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 Y0) => 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 ( 49.03/10.01 powerset @ 49.03/10.01 ( 49.03/10.01 setunion @ 49.03/10.01 Y0))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y1) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (Y1) = 49.03/10.01 (Y2))))))))))))) => 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) <=> 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y1)))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y0) != 49.03/10.01 (emptyset))) => 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (in @ 49.03/10.01 Y1 @ Y0))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y0 @ 49.03/10.01 ( 49.03/10.01 setadjoin @ 49.03/10.01 Y1 @ 49.03/10.01 emptyset)) => 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (Y1))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y0) != 49.03/10.01 (Y1))) => 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y1 @ 49.03/10.01 ( 49.03/10.01 setadjoin @ 49.03/10.01 Y0 @ 49.03/10.01 emptyset)))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (Y1))) => 49.03/10.01 (in @ 49.03/10.01 Y0 @ 49.03/10.01 ( 49.03/10.01 setadjoin @ 49.03/10.01 Y1 @ 49.03/10.01 emptyset)))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y0 @ 49.03/10.01 ( 49.03/10.01 setadjoin @ 49.03/10.01 Y1 @ 49.03/10.01 emptyset)) => 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 ( 49.03/10.01 setadjoin @ 49.03/10.01 Y0 @ 49.03/10.01 emptyset)))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 setadjoin @ 49.03/10.01 Y0 @ 49.03/10.01 ( 49.03/10.01 setadjoin @ 49.03/10.01 Y1 @ 49.03/10.01 emptyset))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y1))) | 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y0)))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (in @ 49.03/10.01 Y0 @ 49.03/10.01 (setadjoin @ 49.03/10.01 Y0 @ 49.03/10.01 (setadjoin @ 49.03/10.01 Y1 @ 49.03/10.01 emptyset))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 (setadjoin @ 49.03/10.01 Y0 @ 49.03/10.01 (setadjoin @ 49.03/10.01 Y1 @ 49.03/10.01 emptyset))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) & 49.03/10.01 (Y1 @ Y2)))))) => 49.03/10.01 (( 49.03/10.01 (dsetconstr @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) != 49.03/10.01 (emptyset))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 emptyset) => 49.03/10.01 (Y0 @ Y1))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 ( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (Y1 @ Y2)))))))) => 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) & 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 Y1 @ Y2)))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 Y1 @ Y2)))))))) => 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 ( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) & 49.03/10.01 (Y1 @ Y2)))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 ( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) & 49.03/10.01 (Y1 @ Y2)))))))) => 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 Y1 @ Y2)))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) & 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 Y1 @ Y2)))))))) => 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 ( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (Y1 @ Y2)))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $o]: 49.03/10.01 (( 49.03/10.01 (Y0) => 49.03/10.01 (in @ 49.03/10.01 emptyset @ 49.03/10.01 ( 49.03/10.01 prop2set @ 49.03/10.01 Y0))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $o]: 49.03/10.01 (( 49.03/10.01 (Y0) => 49.03/10.01 (set2prop @ 49.03/10.01 ( 49.03/10.01 prop2set @ 49.03/10.01 Y0))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 ( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) & 49.03/10.01 (Y1 @ Y2)))))))) => 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 Y1 @ Y2)))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 ( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (Y1 @ Y2)))))))) => 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) & 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 Y1 @ Y2)))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y1) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (Y1) = 49.03/10.01 (Y2))))))))))))) => 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y1) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (Y1) = 49.03/10.01 (Y2)))))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (Y0 @ Y1)))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (Y1) = 49.03/10.01 (Y2))))))))))))) => 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y1) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (Y1) = 49.03/10.01 (Y2)))))))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) <=> 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y1))))))))))) => 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y1) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (Y1) = 49.03/10.01 (Y2)))))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (Y1))) => 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y3))) => 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (in @ 49.03/10.01 Y3 @ Y1))))))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (Y1))) => 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y3))) => 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) <=> 49.03/10.01 (in @ 49.03/10.01 Y3 @ Y1))))))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y1) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (Y1) = 49.03/10.01 (Y2))))))))))))) => 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (Y1) = 49.03/10.01 (Y2)))))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y3))) => 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) <=> 49.03/10.01 (Y1 @ Y3))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y3) => 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y3))))))))))))) <=> 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y1 @ 49.03/10.01 Y2) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (Y1 @ 49.03/10.01 Y3) => 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y3))))))))))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (emptyset) = 49.03/10.01 (emptyset))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (Y1))) => 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y3))) => 49.03/10.01 (( 49.03/10.01 (setadjoin @ 49.03/10.01 Y0 @ 49.03/10.01 Y2) = 49.03/10.01 (setadjoin @ 49.03/10.01 Y1 @ Y3))))))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (Y1))) => 49.03/10.01 (( 49.03/10.01 (powerset @ 49.03/10.01 Y0) = 49.03/10.01 (powerset @ 49.03/10.01 Y1))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (Y1))) => 49.03/10.01 (( 49.03/10.01 (setunion @ 49.03/10.01 Y0) = 49.03/10.01 (setunion @ 49.03/10.01 Y1))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (omega) = 49.03/10.01 (omega))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y1) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (Y1) = 49.03/10.01 (Y2))))))))))))) => 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (( 49.03/10.01 (Y1) = 49.03/10.01 (Y2)))))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y3))) => 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) <=> 49.03/10.01 (Y1 @ Y3))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y2) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (Y0 @ 49.03/10.01 Y3) => 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y3))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (Y1 @ 49.03/10.01 Y2) & 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i]: 49.03/10.01 (( 49.03/10.01 (Y1 @ 49.03/10.01 Y3) => 49.03/10.01 (( 49.03/10.01 (Y2) = 49.03/10.01 (Y3))))))))))))) => 49.03/10.01 (( 49.03/10.01 (descr @ 49.03/10.01 Y0) = 49.03/10.01 (descr @ 49.03/10.01 Y1))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (Y1))) => 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $i > $o]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y4 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y4 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y5 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y5 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y4) = 49.03/10.01 (Y5))) => 49.03/10.01 (( 49.03/10.01 (Y2 @ 49.03/10.01 Y4) <=> 49.03/10.01 (Y3 @ Y5))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (dsetconstr @ 49.03/10.01 Y0 @ 49.03/10.01 Y2) = 49.03/10.01 (dsetconstr @ 49.03/10.01 Y1 @ Y3))))))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y1)))))) => 49.03/10.01 (subset @ 49.03/10.01 Y0 @ Y1))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (Y1))) => 49.03/10.01 (subset @ 49.03/10.01 Y1 @ Y0))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (Y1))) => 49.03/10.01 (subset @ 49.03/10.01 Y0 @ Y1))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y1)))))) => 49.03/10.01 (subset @ 49.03/10.01 Y0 @ Y1))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (subset @ 49.03/10.01 emptyset @ 49.03/10.01 Y0)))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y1)))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y2 @ Y1))) => 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y2 @ Y0)))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y2 @ Y1))) => 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 subset @ 49.03/10.01 Y0 @ Y1)))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 subset @ 49.03/10.01 Y0 @ Y1))) => 49.03/10.01 (( 49.03/10.01 (Y0) != 49.03/10.01 (Y1))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y2 @ Y1))) => 49.03/10.01 (( 49.03/10.01 (Y0) != 49.03/10.01 (Y1)))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (subset @ 49.03/10.01 Y0 @ Y0)))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y1 @ 49.03/10.01 Y2) => 49.03/10.01 (subset @ 49.03/10.01 Y0 @ Y2)))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (subset @ 49.03/10.01 Y1 @ 49.03/10.01 (setadjoin @ 49.03/10.01 Y0 @ Y1)))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y0 @ 49.03/10.01 Y2) => 49.03/10.01 (subset @ 49.03/10.01 Y0 @ 49.03/10.01 ( 49.03/10.01 setadjoin @ 49.03/10.01 Y1 @ Y2))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) => 49.03/10.01 (in @ 49.03/10.01 Y0 @ 49.03/10.01 ( 49.03/10.01 powerset @ 49.03/10.01 Y1)))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y1 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (Y1))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y0 @ 49.03/10.01 emptyset) => 49.03/10.01 (( 49.03/10.01 (Y0) = 49.03/10.01 (emptyset)))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y1 @ 49.03/10.01 Y0) => 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 ( 49.03/10.01 powerset @ 49.03/10.01 Y0)))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 ( 49.03/10.01 powerset @ 49.03/10.01 Y0)) => 49.03/10.01 (subset @ 49.03/10.01 Y1 @ Y0))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (in @ 49.03/10.01 Y0 @ 49.03/10.01 (powerset @ 49.03/10.01 Y0))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) => 49.03/10.01 (subset @ 49.03/10.01 ( 49.03/10.01 powerset @ 49.03/10.01 Y0) @ 49.03/10.01 ( 49.03/10.01 powerset @ 49.03/10.01 Y1)))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i > $o]: 49.03/10.01 (in @ 49.03/10.01 (dsetconstr @ 49.03/10.01 Y0 @ Y1) @ 49.03/10.01 (powerset @ 49.03/10.01 Y0)))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i > $o]: 49.03/10.01 (subset @ 49.03/10.01 (dsetconstr @ 49.03/10.01 Y0 @ Y1) @ 49.03/10.01 Y0))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 binunion @ 49.03/10.01 Y0 @ Y1))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (in @ 49.03/10.01 Y1 @ 49.03/10.01 (setadjoin @ 49.03/10.01 Y0 @ 49.03/10.01 (setadjoin @ 49.03/10.01 Y1 @ 49.03/10.01 emptyset))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 binunion @ 49.03/10.01 Y0 @ Y1))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y3 : $o]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 binunion @ 49.03/10.01 Y0 @ Y1)) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (Y3))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) => 49.03/10.01 (Y3))) => 49.03/10.01 (Y3))))))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 binunion @ 49.03/10.01 Y0 @ Y1)) => 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) | 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y0)))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (subset @ 49.03/10.01 Y0 @ 49.03/10.01 (binunion @ 49.03/10.01 Y0 @ Y1)))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (subset @ 49.03/10.01 Y1 @ 49.03/10.01 (binunion @ 49.03/10.01 Y0 @ Y1)))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 binintersect @ 49.03/10.01 Y0 @ Y1))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) => 49.03/10.01 (subset @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 binintersect @ 49.03/10.01 Y0 @ Y1))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 binintersect @ 49.03/10.01 Y0 @ Y1)) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y0)))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (subset @ 49.03/10.01 (binintersect @ 49.03/10.01 Y0 @ Y1) @ 49.03/10.01 Y0))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (binintersect @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) = 49.03/10.01 (Y0))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (binintersect @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) = 49.03/10.01 (Y1))) => 49.03/10.01 (subset @ 49.03/10.01 Y1 @ Y0))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 binintersect @ 49.03/10.01 Y0 @ Y1)) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y1)))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 ( 49.03/10.01 (??) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) & 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y1)))))))) => 49.03/10.01 (( 49.03/10.01 (binintersect @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) = 49.03/10.01 (emptyset))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (subset @ 49.03/10.01 (binintersect @ 49.03/10.01 Y0 @ Y1) @ 49.03/10.01 Y1))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y1 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (binintersect @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) = 49.03/10.01 (Y1))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (binintersect @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) = 49.03/10.01 (Y0))) => 49.03/10.01 (subset @ 49.03/10.01 Y0 @ Y1))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (binintersect @ 49.03/10.01 Y0 @ 49.03/10.01 ( 49.03/10.01 binunion @ 49.03/10.01 Y1 @ Y2)) = 49.03/10.01 (binunion @ 49.03/10.01 ( 49.03/10.01 binintersect @ 49.03/10.01 Y0 @ Y1) @ 49.03/10.01 ( 49.03/10.01 binintersect @ 49.03/10.01 Y0 @ Y2))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y2 @ Y1))) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 setminus @ 49.03/10.01 Y0 @ Y1))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 setminus @ 49.03/10.01 Y0 @ Y1)) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y0)))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 setminus @ 49.03/10.01 Y0 @ Y1)) => 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y2 @ Y1)))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (subset @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (setminus @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) = 49.03/10.01 (emptyset))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 setminus @ 49.03/10.01 Y0 @ Y1)))) => 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y0) => 49.03/10.01 (in @ 49.03/10.01 Y2 @ Y1)))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 setminus @ 49.03/10.01 Y0 @ Y1)))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y2 @ Y1))) => 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y2 @ Y0)))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y2 @ Y0))) => 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 setminus @ 49.03/10.01 Y0 @ Y1))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y2 : $i]: 49.03/10.01 (( 49.03/10.01 (in @ 49.03/10.01 Y2 @ 49.03/10.01 Y1) => 49.03/10.01 (( 49.03/10.01 (~) @ ( 49.03/10.01 in @ 49.03/10.01 Y2 @ 49.03/10.01 ( 49.03/10.01 setminus @ 49.03/10.01 Y0 @ Y1))))))))))))))) => 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (subset @ 49.03/10.01 (setminus @ 49.03/10.01 Y0 @ Y1) @ 49.03/10.01 Y0))))))) => 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y0 : $i]: 49.03/10.01 (( 49.03/10.01 (!!) @ ( 49.03/10.01 ^[Y1 : $i]: 49.03/10.01 (( 49.03/10.01 (( 49.03/10.01 (setminus @ 49.03/10.01 Y0 @ 49.03/10.01 Y1) = 49.03/10.01 (emptyset))) => 49.03/10.01 (subset @ 49.03/10.01 Y0 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 49.03/10.01 inference('cnf', [status(esa)], [zf_stmt_1])). 49.03/10.01 thf(zip_derived_cl1351, plain, ($false), 49.03/10.01 inference('eprover', [status(thm)], [zip_derived_cl1350])). 49.03/10.01 49.03/10.01 % SZS output end Refutation 49.03/10.01 49.03/10.01 49.03/10.01 % Terminating... 49.03/10.01 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 49.03/10.17 % Runner terminated. 49.07/10.19 % Zipperpin 1.5 exiting 49.07/10.21 EOF