0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9iPOPalrvs true 0.14/0.34 % Computer : n025.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1440 0.14/0.34 % WCLimit : 180 0.14/0.34 % DateTime : Mon Jul 3 09:41:38 EDT 2023 0.14/0.34 % CPUTime : 0.14/0.34 % Running portfolio for 1440 s 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.34 % Number of cores: 8 0.14/0.35 % Python version: Python 3.6.8 0.14/0.35 % Running in HO mode 0.45/0.60 % Total configuration time : 828 0.45/0.60 % Estimated wc time : 1656 0.45/0.60 % Estimated cpu time (8 cpus) : 207.0 0.46/0.65 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.46/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.46/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.46/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.46/0.69 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.46/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.46/0.70 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.46/0.70 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.48/0.89 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 32.39/5.00 % Solved by lams/15_e_short1.sh. 32.39/5.00 % done 1 iterations in 4.117s 32.39/5.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 32.39/5.00 % SZS output start Refutation 32.39/5.00 thf(setadjoinAx_type, type, setadjoinAx: $o). 32.39/5.00 thf(notdexE_type, type, notdexE: $o). 32.39/5.00 thf(setunionAx_type, type, setunionAx: $o). 32.39/5.00 thf(setminusELneg_type, type, setminusELneg: $o). 32.39/5.00 thf(powersetE_type, type, powersetE: $o). 32.39/5.00 thf(omegaSAx_type, type, omegaSAx: $o). 32.39/5.00 thf(exuI1_type, type, exuI1: $o). 32.39/5.00 thf(exuI2_type, type, exuI2: $o). 32.39/5.00 thf(notequalI2_type, type, notequalI2: $o). 32.39/5.00 thf(setukpairIR_type, type, setukpairIR: $o). 32.39/5.00 thf(powerset__Cong_type, type, powerset__Cong: $o). 32.39/5.00 thf(setminusILneg_type, type, setminusILneg: $o). 32.39/5.00 thf(wellorderingAx_type, type, wellorderingAx: $o). 32.39/5.00 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 32.39/5.00 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 32.39/5.00 thf(setoftrueEq_type, type, setoftrueEq: $o). 32.39/5.00 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 32.39/5.00 thf(sepInPowerset_type, type, sepInPowerset: $o). 32.39/5.00 thf(setukpairIL_type, type, setukpairIL: $o). 32.39/5.00 thf(kpairiskpair_type, type, kpairiskpair: $o). 32.39/5.00 thf(binunionE_type, type, binunionE: $o). 32.39/5.00 thf(setext_type, type, setext: $o). 32.39/5.00 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 32.39/5.00 thf(upairsubunion_type, type, upairsubunion: $o). 32.39/5.00 thf(descr__Cong_type, type, descr__Cong: $o). 32.39/5.00 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 32.39/5.00 thf(in_type, type, in: $i > $i > $o). 32.39/5.00 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 32.39/5.00 thf(binunion_type, type, binunion: $i > $i > $i). 32.39/5.00 thf(setadjoinIR_type, type, setadjoinIR: $o). 32.39/5.00 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 32.39/5.00 thf(symdiffI2_type, type, symdiffI2: $o). 32.39/5.00 thf(upairset2IR_type, type, upairset2IR: $o). 32.39/5.00 thf(subsetE_type, type, subsetE: $o). 32.39/5.00 thf(prop2set2propI_type, type, prop2set2propI: $o). 32.39/5.00 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 32.39/5.00 thf(setbeta_type, type, setbeta: $o). 32.39/5.00 thf(eqinunit_type, type, eqinunit: $o). 32.39/5.00 thf(upairsetIL_type, type, upairsetIL: $o). 32.39/5.00 thf(powersetI1_type, type, powersetI1: $o). 32.39/5.00 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 32.39/5.00 thf(setminusIRneg_type, type, setminusIRneg: $o). 32.39/5.00 thf(powersetAx_type, type, powersetAx: $o). 32.39/5.00 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 32.39/5.00 thf(powersetI_type, type, powersetI: $o). 32.39/5.00 thf(upairsetIR_type, type, upairsetIR: $o). 32.39/5.00 thf(inCongP_type, type, inCongP: $o). 32.39/5.00 thf(setadjoinSub_type, type, setadjoinSub: $o). 32.39/5.00 thf(exuE3e_type, type, exuE3e: $o). 32.39/5.00 thf(emptysetE_type, type, emptysetE: $o). 32.39/5.00 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 32.39/5.00 thf(setunionI_type, type, setunionI: $o). 32.39/5.00 thf(symdiff_type, type, symdiff: $i > $i > $i). 32.39/5.00 thf(setunion__Cong_type, type, setunion__Cong: $o). 32.39/5.00 thf(prop2setI_type, type, prop2setI: $o). 32.39/5.00 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 32.39/5.00 thf(setminusER_type, type, setminusER: $o). 32.39/5.00 thf(exuE2_type, type, exuE2: $o). 32.39/5.00 thf(emptyset_type, type, emptyset: $i). 32.39/5.00 thf(setminus_type, type, setminus: $i > $i > $i). 32.39/5.00 thf(powersetsubset_type, type, powersetsubset: $o). 32.39/5.00 thf(upairset2E_type, type, upairset2E: $o). 32.39/5.00 thf(subPowSU_type, type, subPowSU: $o). 32.39/5.00 thf(notequalI1_type, type, notequalI1: $o). 32.39/5.00 thf(notinemptyset_type, type, notinemptyset: $o). 32.39/5.00 thf(nonemptyI1_type, type, nonemptyI1: $o). 32.39/5.00 thf(subsetTrans_type, type, subsetTrans: $o). 32.39/5.00 thf(setminusI_type, type, setminusI: $o). 32.39/5.00 thf(binunionIL_type, type, binunionIL: $o). 32.39/5.00 thf(subsetE2_type, type, subsetE2: $o). 32.39/5.00 thf(singletonsswitch_type, type, singletonsswitch: $o). 32.39/5.00 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 32.39/5.00 thf(setextsub_type, type, setextsub: $o). 32.39/5.00 thf(binunionLsub_type, type, binunionLsub: $o). 32.39/5.00 thf(binintersect_type, type, binintersect: $i > $i > $i). 32.39/5.00 thf(emptysetsubset_type, type, emptysetsubset: $o). 32.39/5.00 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 32.39/5.00 thf(setunionE_type, type, setunionE: $o). 32.39/5.00 thf(setminusSubset1_type, type, setminusSubset1: $o). 32.39/5.00 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 32.39/5.00 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 32.39/5.00 thf(binunionIR_type, type, binunionIR: $o). 32.39/5.00 thf(setadjoinE_type, type, setadjoinE: $o). 32.39/5.00 thf(descr_type, type, descr: ($i > $o) > $i). 32.39/5.00 thf(setadjoinIL_type, type, setadjoinIL: $o). 32.39/5.00 thf(exuE1_type, type, exuE1: $o). 32.39/5.00 thf(upairinpowunion_type, type, upairinpowunion: $o). 32.39/5.00 thf(binintersectRsub_type, type, binintersectRsub: $o). 32.39/5.00 thf(setminusLsub_type, type, setminusLsub: $o). 32.39/5.00 thf(prop2set_type, type, prop2set: $o > $i). 32.39/5.00 thf(notinsingleton_type, type, notinsingleton: $o). 32.39/5.00 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 32.39/5.00 thf(exuEu_type, type, exuEu: $o). 32.39/5.00 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 32.39/5.00 thf(upairsetE_type, type, upairsetE: $o). 32.39/5.00 thf(omega0Ax_type, type, omega0Ax: $o). 32.39/5.00 thf(notsubsetI_type, type, notsubsetI: $o). 32.39/5.00 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 32.39/5.00 thf(setextAx_type, type, setextAx: $o). 32.39/5.00 thf(kpair_type, type, kpair: $i > $i > $i). 32.39/5.00 thf(cartprod_type, type, cartprod: $i > $i > $i). 32.39/5.00 thf(powersetE1_type, type, powersetE1: $o). 32.39/5.00 thf(bs114d_type, type, bs114d: $o). 32.39/5.00 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 32.39/5.00 thf(setunion_type, type, setunion: $i > $i). 32.39/5.00 thf(iskpair_type, type, iskpair: $i > $o). 32.39/5.00 thf(binintersectLsub_type, type, binintersectLsub: $o). 32.39/5.00 thf(subsetI1_type, type, subsetI1: $o). 32.39/5.00 thf(symdiffE_type, type, symdiffE: $o). 32.39/5.00 thf(descrp_type, type, descrp: $o). 32.39/5.00 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 32.39/5.00 thf(foundationAx_type, type, foundationAx: $o). 32.39/5.00 thf(emptysetAx_type, type, emptysetAx: $o). 32.39/5.00 thf(emptyI_type, type, emptyI: $o). 32.39/5.00 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 32.39/5.00 thf(setadjoinOr_type, type, setadjoinOr: $o). 32.39/5.00 thf(binintersectEL_type, type, binintersectEL: $o). 32.39/5.00 thf(emptyE1_type, type, emptyE1: $o). 32.39/5.00 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 32.39/5.00 thf(vacuousDall_type, type, vacuousDall: $o). 32.39/5.00 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 32.39/5.00 thf(dsetconstrER_type, type, dsetconstrER: $o). 32.39/5.00 thf(exu_type, type, exu: ($i > $o) > $o). 32.39/5.00 thf(cartprodpairin_type, type, cartprodpairin: $o). 32.39/5.00 thf(binintersectI_type, type, binintersectI: $o). 32.39/5.00 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 32.39/5.00 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 32.39/5.00 thf(symdiffI1_type, type, symdiffI1: $o). 32.39/5.00 thf(subsetI2_type, type, subsetI2: $o). 32.39/5.00 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 32.39/5.00 thf(setminusERneg_type, type, setminusERneg: $o). 32.39/5.00 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 32.39/5.00 thf(omega__Cong_type, type, omega__Cong: $o). 32.39/5.00 thf(subsetRefl_type, type, subsetRefl: $o). 32.39/5.00 thf(uniqinunit_type, type, uniqinunit: $o). 32.39/5.00 thf(setminusSubset2_type, type, setminusSubset2: $o). 32.39/5.00 thf(prop2setE_type, type, prop2setE: $o). 32.39/5.00 thf(binunionEcases_type, type, binunionEcases: $o). 32.39/5.00 thf(omega_type, type, omega: $i). 32.39/5.00 thf(nonemptyI_type, type, nonemptyI: $o). 32.39/5.00 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 32.39/5.00 thf(exuE3u_type, type, exuE3u: $o). 32.39/5.00 thf(setminusEL_type, type, setminusEL: $o). 32.39/5.00 thf(sepSubset_type, type, sepSubset: $o). 32.39/5.00 thf(singletonsubset_type, type, singletonsubset: $o). 32.39/5.00 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 32.39/5.00 thf(exuI3_type, type, exuI3: $o). 32.39/5.00 thf(notdallE_type, type, notdallE: $o). 32.39/5.00 thf(binintersectER_type, type, binintersectER: $o). 32.39/5.00 thf(powerset_type, type, powerset: $i > $i). 32.39/5.00 thf(kpairp_type, type, kpairp: $o). 32.39/5.00 thf(dsetconstrI_type, type, dsetconstrI: $o). 32.39/5.00 thf(nonempty_type, type, nonempty: $i > $o). 32.39/5.00 thf(set2prop_type, type, set2prop: $i > $o). 32.39/5.00 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 32.39/5.00 thf(exu__Cong_type, type, exu__Cong: $o). 32.39/5.00 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 32.39/5.00 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 32.39/5.00 thf(replAx_type, type, replAx: $o). 32.39/5.00 thf(nonemptyE1_type, type, nonemptyE1: $o). 32.39/5.00 thf(omegaIndAx_type, type, omegaIndAx: $o). 32.39/5.00 thf(secondinupair_type, type, secondinupair: $o). 32.39/5.00 thf(inPowerset_type, type, inPowerset: $o). 32.39/5.00 thf(subset_type, type, subset: $i > $i > $o). 32.39/5.00 thf(in__Cong_type, type, in__Cong: $o). 32.39/5.00 thf(binunionRsub_type, type, binunionRsub: $o). 32.39/5.00 thf(subset2powerset_type, type, subset2powerset: $o). 32.39/5.00 thf(cartprodpairin, axiom, cartprodpairin = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ![Xy:$i]: 32.39/5.00 ( ( in @ Xy @ B ) => 32.39/5.00 ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) ) ) ) ))). 32.39/5.00 thf('0', plain, 32.39/5.00 (( cartprodpairin ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ![X10:$i]: 32.39/5.00 ( ( in @ X10 @ X6 ) => 32.39/5.00 ( in @ ( kpair @ X8 @ X10 ) @ ( cartprod @ X4 @ X6 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(ubforcartprodlem3, axiom, ubforcartprodlem3 = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ![Xy:$i]: 32.39/5.00 ( ( in @ Xy @ B ) => 32.39/5.00 ( in @ 32.39/5.00 ( kpair @ Xx @ Xy ) @ 32.39/5.00 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 32.39/5.00 thf('1', plain, 32.39/5.00 (( ubforcartprodlem3 ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ![X10:$i]: 32.39/5.00 ( ( in @ X10 @ X6 ) => 32.39/5.00 ( in @ 32.39/5.00 ( kpair @ X8 @ X10 ) @ 32.39/5.00 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(ubforcartprodlem2, axiom, ubforcartprodlem2 = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ![Xy:$i]: 32.39/5.00 ( ( in @ Xy @ B ) => 32.39/5.00 ( in @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 32.39/5.00 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 32.39/5.00 thf('2', plain, 32.39/5.00 (( ubforcartprodlem2 ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ![X10:$i]: 32.39/5.00 ( ( in @ X10 @ X6 ) => 32.39/5.00 ( in @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ X8 @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 32.39/5.00 emptyset ) ) @ 32.39/5.00 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(ubforcartprodlem1, axiom, ubforcartprodlem1 = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ![Xy:$i]: 32.39/5.00 ( ( in @ Xy @ B ) => 32.39/5.00 ( subset @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 32.39/5.00 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 32.39/5.00 thf('3', plain, 32.39/5.00 (( ubforcartprodlem1 ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ![X10:$i]: 32.39/5.00 ( ( in @ X10 @ X6 ) => 32.39/5.00 ( subset @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ X8 @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 32.39/5.00 emptyset ) ) @ 32.39/5.00 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(upairinpowunion, axiom, upairinpowunion = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ![Xy:$i]: 32.39/5.00 ( ( in @ Xy @ B ) => 32.39/5.00 ( in @ 32.39/5.00 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 32.39/5.00 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 32.39/5.00 thf('4', plain, 32.39/5.00 (( upairinpowunion ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ![X10:$i]: 32.39/5.00 ( ( in @ X10 @ X6 ) => 32.39/5.00 ( in @ 32.39/5.00 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 32.39/5.00 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(upairsubunion, axiom, upairsubunion = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ![Xy:$i]: 32.39/5.00 ( ( in @ Xy @ B ) => 32.39/5.00 ( subset @ 32.39/5.00 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 32.39/5.00 ( binunion @ A @ B ) ) ) ) ))). 32.39/5.00 thf('5', plain, 32.39/5.00 (( upairsubunion ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ![X10:$i]: 32.39/5.00 ( ( in @ X10 @ X6 ) => 32.39/5.00 ( subset @ 32.39/5.00 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 32.39/5.00 ( binunion @ X4 @ X6 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(upairset2E, axiom, upairset2E = 32.39/5.00 (![Xx:$i,Xy:$i,Xz:$i]: 32.39/5.00 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 32.39/5.00 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 32.39/5.00 thf('6', plain, 32.39/5.00 (( upairset2E ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 32.39/5.00 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(singletoninpowunion, axiom, singletoninpowunion = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( in @ 32.39/5.00 ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ))). 32.39/5.00 thf('7', plain, 32.39/5.00 (( singletoninpowunion ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( in @ 32.39/5.00 ( setadjoin @ X8 @ emptyset ) @ 32.39/5.00 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(singletoninpowerset, axiom, singletoninpowerset = 32.39/5.00 (![A:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ))). 32.39/5.00 thf('8', plain, 32.39/5.00 (( singletoninpowerset ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( in @ X6 @ X4 ) => 32.39/5.00 ( in @ ( setadjoin @ X6 @ emptyset ) @ ( powerset @ X4 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(singletonsubset, axiom, singletonsubset = 32.39/5.00 (![A:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ))). 32.39/5.00 thf('9', plain, 32.39/5.00 (( singletonsubset ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( in @ X6 @ X4 ) => ( subset @ ( setadjoin @ X6 @ emptyset ) @ X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(cartprod, axiom,(( cartprod ) = 32.39/5.00 (^[A:$i,B:$i]: 32.39/5.00 ( dsetconstr @ 32.39/5.00 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) @ 32.39/5.00 ( ^[Xx:$i]: 32.39/5.00 ( ?[Xy:$i]: 32.39/5.00 ( ( ?[Xz:$i]: ( ( ( Xx ) = ( kpair @ Xy @ Xz ) ) & ( in @ Xz @ B ) ) ) & 32.39/5.00 ( in @ Xy @ A ) ) ) ) )))). 32.39/5.00 thf(kpair, axiom,(( kpair ) = 32.39/5.00 (^[Xx:$i,Xy:$i]: 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )))). 32.39/5.00 thf('10', plain, 32.39/5.00 (( kpair ) = 32.39/5.00 ( ^[Xx:$i,Xy:$i]: 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )), 32.39/5.00 inference('simplify_rw_rule', [status(thm)], [kpair])). 32.39/5.00 thf('11', plain, 32.39/5.00 (( kpair ) = 32.39/5.00 ( ^[V_1:$i,V_2:$i]: 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ V_1 @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ V_1 @ ( setadjoin @ V_2 @ emptyset ) ) @ emptyset ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf('12', plain, 32.39/5.00 (( cartprod ) = 32.39/5.00 ( ^[A:$i,B:$i]: 32.39/5.00 ( dsetconstr @ 32.39/5.00 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) @ 32.39/5.00 ( ^[Xx:$i]: 32.39/5.00 ( ?[Xy:$i]: 32.39/5.00 ( ( ?[Xz:$i]: 32.39/5.00 ( ( ( Xx ) = ( kpair @ Xy @ Xz ) ) & ( in @ Xz @ B ) ) ) & 32.39/5.00 ( in @ Xy @ A ) ) ) ) ) )), 32.39/5.00 inference('simplify_rw_rule', [status(thm)], [cartprod, '11'])). 32.39/5.00 thf('13', plain, 32.39/5.00 (( cartprod ) = 32.39/5.00 ( ^[V_1:$i,V_2:$i]: 32.39/5.00 ( dsetconstr @ 32.39/5.00 ( powerset @ ( powerset @ ( binunion @ V_1 @ V_2 ) ) ) @ 32.39/5.00 ( ^[V_3:$i]: 32.39/5.00 ( ?[X4:$i]: 32.39/5.00 ( ( ?[X6:$i]: 32.39/5.00 ( ( ( V_3 ) = ( kpair @ X4 @ X6 ) ) & ( in @ X6 @ V_2 ) ) ) & 32.39/5.00 ( in @ X4 @ V_1 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(kpairp, axiom, kpairp = 32.39/5.00 (![Xx:$i,Xy:$i]: ( iskpair @ ( kpair @ Xx @ Xy ) ))). 32.39/5.00 thf('14', plain, 32.39/5.00 (( kpairp ) = ( ![X4:$i,X6:$i]: ( iskpair @ ( kpair @ X4 @ X6 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(kpairiskpair, axiom, kpairiskpair = 32.39/5.00 (![Xx:$i,Xy:$i]: 32.39/5.00 ( iskpair @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ))). 32.39/5.00 thf('15', plain, 32.39/5.00 (( kpairiskpair ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( iskpair @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ X4 @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setukpairIR, axiom, setukpairIR = 32.39/5.00 (![Xx:$i,Xy:$i]: 32.39/5.00 ( in @ 32.39/5.00 Xy @ 32.39/5.00 ( setunion @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ))). 32.39/5.00 thf('16', plain, 32.39/5.00 (( setukpairIR ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( in @ 32.39/5.00 X6 @ 32.39/5.00 ( setunion @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ X4 @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setukpairIL, axiom, setukpairIL = 32.39/5.00 (![Xx:$i,Xy:$i]: 32.39/5.00 ( in @ 32.39/5.00 Xx @ 32.39/5.00 ( setunion @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ))). 32.39/5.00 thf('17', plain, 32.39/5.00 (( setukpairIL ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( in @ 32.39/5.00 X4 @ 32.39/5.00 ( setunion @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ X4 @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(secondinupair, axiom, secondinupair = 32.39/5.00 (![Xx:$i,Xy:$i]: 32.39/5.00 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 32.39/5.00 thf('18', plain, 32.39/5.00 (( secondinupair ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(iskpair, axiom,(( iskpair ) = 32.39/5.00 (^[A:$i]: 32.39/5.00 ( ?[Xx:$i]: 32.39/5.00 ( ( ?[Xy:$i]: 32.39/5.00 ( ( ( A ) = 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 32.39/5.00 emptyset ) ) ) & 32.39/5.00 ( in @ Xy @ ( setunion @ A ) ) ) ) & 32.39/5.00 ( in @ Xx @ ( setunion @ A ) ) ) )))). 32.39/5.00 thf('19', plain, 32.39/5.00 (( iskpair ) = 32.39/5.00 ( ^[A:$i]: 32.39/5.00 ( ?[Xx:$i]: 32.39/5.00 ( ( ?[Xy:$i]: 32.39/5.00 ( ( ( A ) = 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 32.39/5.00 emptyset ) ) ) & 32.39/5.00 ( in @ Xy @ ( setunion @ A ) ) ) ) & 32.39/5.00 ( in @ Xx @ ( setunion @ A ) ) ) ) )), 32.39/5.00 inference('simplify_rw_rule', [status(thm)], [iskpair])). 32.39/5.00 thf('20', plain, 32.39/5.00 (( iskpair ) = 32.39/5.00 ( ^[V_1:$i]: 32.39/5.00 ( ?[X4:$i]: 32.39/5.00 ( ( ?[X6:$i]: 32.39/5.00 ( ( ( V_1 ) = 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ X4 @ emptyset ) @ 32.39/5.00 ( setadjoin @ 32.39/5.00 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ 32.39/5.00 emptyset ) ) ) & 32.39/5.00 ( in @ X6 @ ( setunion @ V_1 ) ) ) ) & 32.39/5.00 ( in @ X4 @ ( setunion @ V_1 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(symdiffIneg2, axiom, symdiffIneg2 = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( ~( in @ Xx @ A ) ) => 32.39/5.00 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ))). 32.39/5.00 thf('21', plain, 32.39/5.00 (( symdiffIneg2 ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( ~( in @ X8 @ X4 ) ) => 32.39/5.00 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(symdiffIneg1, axiom, symdiffIneg1 = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ))). 32.39/5.00 thf('22', plain, 32.39/5.00 (( symdiffIneg1 ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(symdiffI2, axiom, symdiffI2 = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( ~( in @ Xx @ A ) ) => 32.39/5.00 ( ( in @ Xx @ B ) => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ))). 32.39/5.00 thf('23', plain, 32.39/5.00 (( symdiffI2 ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( ~( in @ X8 @ X4 ) ) => 32.39/5.00 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(symdiffI1, axiom, symdiffI1 = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ))). 32.39/5.00 thf('24', plain, 32.39/5.00 (( symdiffI1 ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(symdiffE, axiom, symdiffE = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ ( symdiff @ A @ B ) ) => 32.39/5.00 ( ![Xphi:$o]: 32.39/5.00 ( ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( Xphi ) ) ) => 32.39/5.00 ( ( ( ~( in @ Xx @ A ) ) => ( ( in @ Xx @ B ) => ( Xphi ) ) ) => 32.39/5.00 ( Xphi ) ) ) ) ))). 32.39/5.00 thf('25', plain, 32.39/5.00 (( symdiffE ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ ( symdiff @ X4 @ X6 ) ) => 32.39/5.00 ( ![X10:$o]: 32.39/5.00 ( ( ( in @ X8 @ X4 ) => ( ( ~( in @ X8 @ X6 ) ) => ( X10 ) ) ) => 32.39/5.00 ( ( ( ~( in @ X8 @ X4 ) ) => ( ( in @ X8 @ X6 ) => ( X10 ) ) ) => 32.39/5.00 ( X10 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setminusSubset1, axiom, setminusSubset1 = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ( setminus @ A @ B ) = ( emptyset ) ) => ( subset @ A @ B ) ))). 32.39/5.00 thf('26', plain, 32.39/5.00 (( setminusSubset1 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) => ( subset @ X4 @ X6 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setminusLsub, axiom, setminusLsub = 32.39/5.00 (![A:$i,B:$i]: ( subset @ ( setminus @ A @ B ) @ A ))). 32.39/5.00 thf('27', plain, 32.39/5.00 (( setminusLsub ) = 32.39/5.00 ( ![X4:$i,X6:$i]: ( subset @ ( setminus @ X4 @ X6 ) @ X4 ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setminusIRneg, axiom, setminusIRneg = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 32.39/5.00 thf('28', plain, 32.39/5.00 (( setminusIRneg ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setminusILneg, axiom, setminusILneg = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( ~( in @ Xx @ A ) ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 32.39/5.00 thf('29', plain, 32.39/5.00 (( setminusILneg ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( ~( in @ X8 @ X4 ) ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setminusELneg, axiom, setminusELneg = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 32.39/5.00 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 32.39/5.00 thf('30', plain, 32.39/5.00 (( setminusELneg ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 32.39/5.00 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setminusERneg, axiom, setminusERneg = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 32.39/5.00 ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 32.39/5.00 thf('31', plain, 32.39/5.00 (( setminusERneg ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 32.39/5.00 ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setminusSubset2, axiom, setminusSubset2 = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( subset @ A @ B ) => ( ( setminus @ A @ B ) = ( emptyset ) ) ))). 32.39/5.00 thf('32', plain, 32.39/5.00 (( setminusSubset2 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( subset @ X4 @ X6 ) => ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setminusER, axiom, setminusER = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( ~( in @ Xx @ B ) ) ))). 32.39/5.00 thf('33', plain, 32.39/5.00 (( setminusER ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( ~( in @ X8 @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setminusEL, axiom, setminusEL = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))). 32.39/5.00 thf('34', plain, 32.39/5.00 (( setminusEL ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setminusI, axiom, setminusI = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 32.39/5.00 thf('35', plain, 32.39/5.00 (( setminusI ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(bs114d, axiom, bs114d = 32.39/5.00 (![A:$i,B:$i,C:$i]: 32.39/5.00 ( ( binintersect @ A @ ( binunion @ B @ C ) ) = 32.39/5.00 ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ))). 32.39/5.00 thf('36', plain, 32.39/5.00 (( bs114d ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( binintersect @ X4 @ ( binunion @ X6 @ X8 ) ) = 32.39/5.00 ( binunion @ ( binintersect @ X4 @ X6 ) @ ( binintersect @ X4 @ X8 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binintersectSubset1, axiom, binintersectSubset1 = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ( binintersect @ A @ B ) = ( A ) ) => ( subset @ A @ B ) ))). 32.39/5.00 thf('37', plain, 32.39/5.00 (( binintersectSubset1 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) => ( subset @ X4 @ X6 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binintersectSubset4, axiom, binintersectSubset4 = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( subset @ B @ A ) => ( ( binintersect @ A @ B ) = ( B ) ) ))). 32.39/5.00 thf('38', plain, 32.39/5.00 (( binintersectSubset4 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( subset @ X6 @ X4 ) => ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binintersectRsub, axiom, binintersectRsub = 32.39/5.00 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ B ))). 32.39/5.00 thf('39', plain, 32.39/5.00 (( binintersectRsub ) = 32.39/5.00 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X6 ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(disjointsetsI1, axiom, disjointsetsI1 = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ B ) & ( in @ Xx @ A ) ) ) ) => 32.39/5.00 ( ( binintersect @ A @ B ) = ( emptyset ) ) ))). 32.39/5.00 thf('40', plain, 32.39/5.00 (( disjointsetsI1 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ~( ?[X8:$i]: ( ( in @ X8 @ X6 ) & ( in @ X8 @ X4 ) ) ) ) => 32.39/5.00 ( ( binintersect @ X4 @ X6 ) = ( emptyset ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binintersectER, axiom, binintersectER = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ B ) ))). 32.39/5.00 thf('41', plain, 32.39/5.00 (( binintersectER ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X6 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binintersectSubset3, axiom, binintersectSubset3 = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ( binintersect @ A @ B ) = ( B ) ) => ( subset @ B @ A ) ))). 32.39/5.00 thf('42', plain, 32.39/5.00 (( binintersectSubset3 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binintersectSubset2, axiom, binintersectSubset2 = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( subset @ A @ B ) => ( ( binintersect @ A @ B ) = ( A ) ) ))). 32.39/5.00 thf('43', plain, 32.39/5.00 (( binintersectSubset2 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( subset @ X4 @ X6 ) => ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binintersectLsub, axiom, binintersectLsub = 32.39/5.00 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ A ))). 32.39/5.00 thf('44', plain, 32.39/5.00 (( binintersectLsub ) = 32.39/5.00 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binintersectEL, axiom, binintersectEL = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ A ) ))). 32.39/5.00 thf('45', plain, 32.39/5.00 (( binintersectEL ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binintersectSubset5, axiom, binintersectSubset5 = 32.39/5.00 (![A:$i,B:$i,C:$i]: 32.39/5.00 ( ( subset @ C @ A ) => 32.39/5.00 ( ( subset @ C @ B ) => ( subset @ C @ ( binintersect @ A @ B ) ) ) ))). 32.39/5.00 thf('46', plain, 32.39/5.00 (( binintersectSubset5 ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( subset @ X8 @ X4 ) => 32.39/5.00 ( ( subset @ X8 @ X6 ) => 32.39/5.00 ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binintersectI, axiom, binintersectI = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))). 32.39/5.00 thf('47', plain, 32.39/5.00 (( binintersectI ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binunionRsub, axiom, binunionRsub = 32.39/5.00 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 32.39/5.00 thf('48', plain, 32.39/5.00 (( binunionRsub ) = 32.39/5.00 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binunionLsub, axiom, binunionLsub = 32.39/5.00 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 32.39/5.00 thf('49', plain, 32.39/5.00 (( binunionLsub ) = 32.39/5.00 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binunionE, axiom, binunionE = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 32.39/5.00 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 32.39/5.00 thf('50', plain, 32.39/5.00 (( binunionE ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 32.39/5.00 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binunionEcases, axiom, binunionEcases = 32.39/5.00 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 32.39/5.00 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 32.39/5.00 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 32.39/5.00 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 32.39/5.00 thf('51', plain, 32.39/5.00 (( binunionEcases ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 32.39/5.00 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 32.39/5.00 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 32.39/5.00 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binunionIR, axiom, binunionIR = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 32.39/5.00 thf('52', plain, 32.39/5.00 (( binunionIR ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(upairset2IR, axiom, upairset2IR = 32.39/5.00 (![Xx:$i,Xy:$i]: 32.39/5.00 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 32.39/5.00 thf('53', plain, 32.39/5.00 (( upairset2IR ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(binunionIL, axiom, binunionIL = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 32.39/5.00 thf('54', plain, 32.39/5.00 (( binunionIL ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(sepSubset, axiom, sepSubset = 32.39/5.00 (![A:$i,Xphi:( $i > $o )]: 32.39/5.00 ( subset @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ A ))). 32.39/5.00 thf('55', plain, 32.39/5.00 (( sepSubset ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o )]: 32.39/5.00 ( subset @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ X4 ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(sepInPowerset, axiom, sepInPowerset = 32.39/5.00 (![A:$i,Xphi:( $i > $o )]: 32.39/5.00 ( in @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ ( powerset @ A ) ))). 32.39/5.00 thf('56', plain, 32.39/5.00 (( sepInPowerset ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o )]: 32.39/5.00 ( in @ 32.39/5.00 ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ 32.39/5.00 ( powerset @ X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(powersetsubset, axiom, powersetsubset = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 32.39/5.00 thf('57', plain, 32.39/5.00 (( powersetsubset ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( subset @ X4 @ X6 ) => 32.39/5.00 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 32.39/5.00 thf('58', plain, 32.39/5.00 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(powersetE1, axiom, powersetE1 = 32.39/5.00 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 32.39/5.00 thf('59', plain, 32.39/5.00 (( powersetE1 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(powersetI1, axiom, powersetI1 = 32.39/5.00 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 32.39/5.00 thf('60', plain, 32.39/5.00 (( powersetI1 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 32.39/5.00 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 32.39/5.00 thf('61', plain, 32.39/5.00 (( subsetemptysetimpeq ) = 32.39/5.00 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setextsub, axiom, setextsub = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 32.39/5.00 thf('62', plain, 32.39/5.00 (( setextsub ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( subset @ X4 @ X6 ) => 32.39/5.00 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(subset2powerset, axiom, subset2powerset = 32.39/5.00 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 32.39/5.00 thf('63', plain, 32.39/5.00 (( subset2powerset ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setadjoinSub2, axiom, setadjoinSub2 = 32.39/5.00 (![A:$i,Xx:$i,B:$i]: 32.39/5.00 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 32.39/5.00 thf('64', plain, 32.39/5.00 (( setadjoinSub2 ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setadjoinSub, axiom, setadjoinSub = 32.39/5.00 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 32.39/5.00 thf('65', plain, 32.39/5.00 (( setadjoinSub ) = 32.39/5.00 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(subsetTrans, axiom, subsetTrans = 32.39/5.00 (![A:$i,B:$i,C:$i]: 32.39/5.00 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 32.39/5.00 thf('66', plain, 32.39/5.00 (( subsetTrans ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( subset @ X4 @ X6 ) => 32.39/5.00 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 32.39/5.00 thf('67', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(notequalI2, axiom, notequalI2 = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))). 32.39/5.00 thf('68', plain, 32.39/5.00 (( notequalI2 ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(notequalI1, axiom, notequalI1 = 32.39/5.00 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 32.39/5.00 thf('69', plain, 32.39/5.00 (( notequalI1 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(notsubsetI, axiom, notsubsetI = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 32.39/5.00 thf('70', plain, 32.39/5.00 (( notsubsetI ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(subsetE2, axiom, subsetE2 = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 32.39/5.00 thf('71', plain, 32.39/5.00 (( subsetE2 ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( subset @ X4 @ X6 ) => 32.39/5.00 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(subsetE, axiom, subsetE = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 32.39/5.00 thf('72', plain, 32.39/5.00 (( subsetE ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(emptysetsubset, axiom, emptysetsubset = 32.39/5.00 (![A:$i]: ( subset @ emptyset @ A ))). 32.39/5.00 thf('73', plain, 32.39/5.00 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(subsetI2, axiom, subsetI2 = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 32.39/5.00 ( subset @ A @ B ) ))). 32.39/5.00 thf('74', plain, 32.39/5.00 (( subsetI2 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 32.39/5.00 ( subset @ X4 @ X6 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(eqimpsubset1, axiom, eqimpsubset1 = 32.39/5.00 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 32.39/5.00 thf('75', plain, 32.39/5.00 (( eqimpsubset1 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(eqimpsubset2, axiom, eqimpsubset2 = 32.39/5.00 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 32.39/5.00 thf('76', plain, 32.39/5.00 (( eqimpsubset2 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(subsetI1, axiom, subsetI1 = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 32.39/5.00 ( subset @ A @ B ) ))). 32.39/5.00 thf('77', plain, 32.39/5.00 (( subsetI1 ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 32.39/5.00 ( subset @ X4 @ X6 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(dsetconstr__Cong, axiom, dsetconstr__Cong = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ( A ) = ( B ) ) => 32.39/5.00 ( ![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 32.39/5.00 ( ( ![Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ![Xy:$i]: 32.39/5.00 ( ( in @ Xy @ B ) => 32.39/5.00 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) ) ) ) => 32.39/5.00 ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 32.39/5.00 ( dsetconstr @ B @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 32.39/5.00 thf('78', plain, 32.39/5.00 (( dsetconstr__Cong ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ( X4 ) = ( X6 ) ) => 32.39/5.00 ( ![X8:( $i > $o ),X10:( $i > $o )]: 32.39/5.00 ( ( ![X12:$i]: 32.39/5.00 ( ( in @ X12 @ X4 ) => 32.39/5.00 ( ![X14:$i]: 32.39/5.00 ( ( in @ X14 @ X6 ) => 32.39/5.00 ( ( ( X12 ) = ( X14 ) ) => 32.39/5.00 ( ( X8 @ X12 ) <=> ( X10 @ X14 ) ) ) ) ) ) ) => 32.39/5.00 ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) = 32.39/5.00 ( dsetconstr @ X6 @ ( ^[V_2:$i]: ( X10 @ V_2 ) ) ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(descr__Cong, axiom, descr__Cong = 32.39/5.00 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 32.39/5.00 ( ( ![Xx:$i,Xy:$i]: 32.39/5.00 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 32.39/5.00 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 32.39/5.00 ( ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) => 32.39/5.00 ( ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 32.39/5.00 ( descr @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 32.39/5.00 thf('79', plain, 32.39/5.00 (( descr__Cong ) = 32.39/5.00 ( ![X4:( $i > $o ),X6:( $i > $o )]: 32.39/5.00 ( ( ![X8:$i,X10:$i]: 32.39/5.00 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 32.39/5.00 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 32.39/5.00 ( ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) => 32.39/5.00 ( ( descr @ ( ^[V_3:$i]: ( X4 @ V_3 ) ) ) = 32.39/5.00 ( descr @ ( ^[V_4:$i]: ( X6 @ V_4 ) ) ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(exuEu, axiom, exuEu = 32.39/5.00 (![Xphi:( $i > $o )]: 32.39/5.00 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 32.39/5.00 ( ![Xx:$i,Xy:$i]: 32.39/5.00 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 32.39/5.00 thf('80', plain, 32.39/5.00 (( exuEu ) = 32.39/5.00 ( ![X4:( $i > $o )]: 32.39/5.00 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 32.39/5.00 ( ![X6:$i,X8:$i]: 32.39/5.00 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(omega__Cong, axiom, omega__Cong = (( omega ) = ( omega ))). 32.39/5.00 thf('81', plain, (( omega__Cong ) = ( ( omega ) = ( omega ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setunion__Cong, axiom, setunion__Cong = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ( A ) = ( B ) ) => ( ( setunion @ A ) = ( setunion @ B ) ) ))). 32.39/5.00 thf('82', plain, 32.39/5.00 (( setunion__Cong ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ( X4 ) = ( X6 ) ) => ( ( setunion @ X4 ) = ( setunion @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(powerset__Cong, axiom, powerset__Cong = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 32.39/5.00 thf('83', plain, 32.39/5.00 (( powerset__Cong ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setadjoin__Cong, axiom, setadjoin__Cong = 32.39/5.00 (![Xx:$i,Xy:$i]: 32.39/5.00 ( ( ( Xx ) = ( Xy ) ) => 32.39/5.00 ( ![Xz:$i,Xu:$i]: 32.39/5.00 ( ( ( Xz ) = ( Xu ) ) => 32.39/5.00 ( ( setadjoin @ Xx @ Xz ) = ( setadjoin @ Xy @ Xu ) ) ) ) ))). 32.39/5.00 thf('84', plain, 32.39/5.00 (( setadjoin__Cong ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ( X4 ) = ( X6 ) ) => 32.39/5.00 ( ![X8:$i,X10:$i]: 32.39/5.00 ( ( ( X8 ) = ( X10 ) ) => 32.39/5.00 ( ( setadjoin @ X4 @ X8 ) = ( setadjoin @ X6 @ X10 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(emptyset__Cong, axiom, emptyset__Cong = (( emptyset ) = ( emptyset ))). 32.39/5.00 thf('85', plain, (( emptyset__Cong ) = ( ( emptyset ) = ( emptyset ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(exu__Cong, axiom, exu__Cong = 32.39/5.00 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 32.39/5.00 ( ( ![Xx:$i,Xy:$i]: 32.39/5.00 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 32.39/5.00 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) <=> 32.39/5.00 ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ))). 32.39/5.00 thf('86', plain, 32.39/5.00 (( exu__Cong ) = 32.39/5.00 ( ![X4:( $i > $o ),X6:( $i > $o )]: 32.39/5.00 ( ( ![X8:$i,X10:$i]: 32.39/5.00 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 32.39/5.00 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) <=> 32.39/5.00 ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(exuE3u, axiom, exuE3u = 32.39/5.00 (![Xphi:( $i > $o )]: 32.39/5.00 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 32.39/5.00 ( ![Xx:$i,Xy:$i]: 32.39/5.00 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 32.39/5.00 thf('87', plain, 32.39/5.00 (( exuE3u ) = 32.39/5.00 ( ![X4:( $i > $o )]: 32.39/5.00 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 32.39/5.00 ( ![X6:$i,X8:$i]: 32.39/5.00 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(in__Cong, axiom, in__Cong = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ( A ) = ( B ) ) => 32.39/5.00 ( ![Xx:$i,Xy:$i]: 32.39/5.00 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))). 32.39/5.00 thf('88', plain, 32.39/5.00 (( in__Cong ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ( X4 ) = ( X6 ) ) => 32.39/5.00 ( ![X8:$i,X10:$i]: 32.39/5.00 ( ( ( X8 ) = ( X10 ) ) => 32.39/5.00 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(inCongP, axiom, inCongP = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ( A ) = ( B ) ) => 32.39/5.00 ( ![Xx:$i,Xy:$i]: 32.39/5.00 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))). 32.39/5.00 thf('89', plain, 32.39/5.00 (( inCongP ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ( X4 ) = ( X6 ) ) => 32.39/5.00 ( ![X8:$i,X10:$i]: 32.39/5.00 ( ( ( X8 ) = ( X10 ) ) => 32.39/5.00 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(exuI2, axiom, exuI2 = 32.39/5.00 (![Xphi:( $i > $o )]: 32.39/5.00 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) => 32.39/5.00 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 32.39/5.00 thf('90', plain, 32.39/5.00 (( exuI2 ) = 32.39/5.00 ( ![X4:( $i > $o )]: 32.39/5.00 ( ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) => 32.39/5.00 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(exuI3, axiom, exuI3 = 32.39/5.00 (![Xphi:( $i > $o )]: 32.39/5.00 ( ( ?[Xx:$i]: ( Xphi @ Xx ) ) => 32.39/5.00 ( ( ![Xx:$i,Xy:$i]: 32.39/5.00 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) => 32.39/5.00 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 32.39/5.00 thf('91', plain, 32.39/5.00 (( exuI3 ) = 32.39/5.00 ( ![X4:( $i > $o )]: 32.39/5.00 ( ( ?[X6:$i]: ( X4 @ X6 ) ) => 32.39/5.00 ( ( ![X8:$i,X10:$i]: 32.39/5.00 ( ( X4 @ X8 ) => ( ( X4 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) => 32.39/5.00 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(exuI1, axiom, exuI1 = 32.39/5.00 (![Xphi:( $i > $o )]: 32.39/5.00 ( ( ?[Xx:$i]: 32.39/5.00 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 32.39/5.00 ( Xphi @ Xx ) ) ) => 32.39/5.00 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 32.39/5.00 thf('92', plain, 32.39/5.00 (( exuI1 ) = 32.39/5.00 ( ![X4:( $i > $o )]: 32.39/5.00 ( ( ?[X6:$i]: 32.39/5.00 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 32.39/5.00 ( X4 @ X6 ) ) ) => 32.39/5.00 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(notdallE, axiom, notdallE = 32.39/5.00 (![A:$i,Xphi:( $i > $o )]: 32.39/5.00 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 32.39/5.00 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 32.39/5.00 thf('93', plain, 32.39/5.00 (( notdallE ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o )]: 32.39/5.00 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 32.39/5.00 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(notdexE, axiom, notdexE = 32.39/5.00 (![A:$i,Xphi:( $i > $o )]: 32.39/5.00 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 32.39/5.00 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 32.39/5.00 thf('94', plain, 32.39/5.00 (( notdexE ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o )]: 32.39/5.00 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 32.39/5.00 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(prop2set2propI, axiom, prop2set2propI = 32.39/5.00 (![Xphi:$o]: ( ( Xphi ) => ( set2prop @ ( prop2set @ Xphi ) ) ))). 32.39/5.00 thf('95', plain, 32.39/5.00 (( prop2set2propI ) = 32.39/5.00 ( ![X4:$o]: ( ( X4 ) => ( set2prop @ ( prop2set @ X4 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(prop2setI, axiom, prop2setI = 32.39/5.00 (![Xphi:$o]: ( ( Xphi ) => ( in @ emptyset @ ( prop2set @ Xphi ) ) ))). 32.39/5.00 thf('96', plain, 32.39/5.00 (( prop2setI ) = 32.39/5.00 ( ![X4:$o]: ( ( X4 ) => ( in @ emptyset @ ( prop2set @ X4 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(quantDeMorgan4, axiom, quantDeMorgan4 = 32.39/5.00 (![A:$i,Xphi:( $i > $o )]: 32.39/5.00 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) => 32.39/5.00 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))). 32.39/5.00 thf('97', plain, 32.39/5.00 (( quantDeMorgan4 ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o )]: 32.39/5.00 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) => 32.39/5.00 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(quantDeMorgan3, axiom, quantDeMorgan3 = 32.39/5.00 (![A:$i,Xphi:( $i > $o )]: 32.39/5.00 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 32.39/5.00 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 32.39/5.00 thf('98', plain, 32.39/5.00 (( quantDeMorgan3 ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o )]: 32.39/5.00 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 32.39/5.00 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(quantDeMorgan2, axiom, quantDeMorgan2 = 32.39/5.00 (![A:$i,Xphi:( $i > $o )]: 32.39/5.00 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) => 32.39/5.00 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))). 32.39/5.00 thf('99', plain, 32.39/5.00 (( quantDeMorgan2 ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o )]: 32.39/5.00 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) => 32.39/5.00 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(quantDeMorgan1, axiom, quantDeMorgan1 = 32.39/5.00 (![A:$i,Xphi:( $i > $o )]: 32.39/5.00 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 32.39/5.00 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 32.39/5.00 thf('100', plain, 32.39/5.00 (( quantDeMorgan1 ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o )]: 32.39/5.00 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 32.39/5.00 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(vacuousDall, axiom, vacuousDall = 32.39/5.00 (![Xphi:( $i > $o ),Xx:$i]: ( ( in @ Xx @ emptyset ) => ( Xphi @ Xx ) ))). 32.39/5.00 thf('101', plain, 32.39/5.00 (( vacuousDall ) = 32.39/5.00 ( ![X4:( $i > $o ),X6:$i]: ( ( in @ X6 @ emptyset ) => ( X4 @ X6 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(emptyE1, axiom, emptyE1 = 32.39/5.00 (![A:$i,Xphi:( $i > $o )]: 32.39/5.00 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 32.39/5.00 ( ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = ( emptyset ) ) => 32.39/5.00 ( $false ) ) ))). 32.39/5.00 thf('102', plain, 32.39/5.00 (( emptyE1 ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o )]: 32.39/5.00 ( ( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) => 32.39/5.00 ( ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) = ( emptyset ) ) => 32.39/5.00 ( $false ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(upairsetIR, axiom, upairsetIR = 32.39/5.00 (![Xx:$i,Xy:$i]: 32.39/5.00 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 32.39/5.00 thf('103', plain, 32.39/5.00 (( upairsetIR ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(upairsetIL, axiom, upairsetIL = 32.39/5.00 (![Xx:$i,Xy:$i]: 32.39/5.00 ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 32.39/5.00 thf('104', plain, 32.39/5.00 (( upairsetIL ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(upairsetE, axiom, upairsetE = 32.39/5.00 (![Xx:$i,Xy:$i,Xz:$i]: 32.39/5.00 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 32.39/5.00 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 32.39/5.00 thf('105', plain, 32.39/5.00 (( upairsetE ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 32.39/5.00 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(singletonsswitch, axiom, singletonsswitch = 32.39/5.00 (![Xx:$i,Xy:$i]: 32.39/5.00 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => 32.39/5.00 ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ))). 32.39/5.00 thf('106', plain, 32.39/5.00 (( singletonsswitch ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => 32.39/5.00 ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(eqinunit, axiom, eqinunit = 32.39/5.00 (![Xx:$i,Xy:$i]: 32.39/5.00 ( ( ( Xx ) = ( Xy ) ) => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 32.39/5.00 thf('107', plain, 32.39/5.00 (( eqinunit ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ( X4 ) = ( X6 ) ) => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(notinsingleton, axiom, notinsingleton = 32.39/5.00 (![Xx:$i,Xy:$i]: 32.39/5.00 ( ( ( Xx ) != ( Xy ) ) => ( ~( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ))). 32.39/5.00 thf('108', plain, 32.39/5.00 (( notinsingleton ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ( X4 ) != ( X6 ) ) => 32.39/5.00 ( ~( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(uniqinunit, axiom, uniqinunit = 32.39/5.00 (![Xx:$i,Xy:$i]: 32.39/5.00 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => ( ( Xx ) = ( Xy ) ) ))). 32.39/5.00 thf('109', plain, 32.39/5.00 (( uniqinunit ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => ( ( X4 ) = ( X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(nonemptyImpWitness, axiom, nonemptyImpWitness = 32.39/5.00 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 32.39/5.00 thf('110', plain, 32.39/5.00 (( nonemptyImpWitness ) = 32.39/5.00 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(exuE2, axiom, exuE2 = 32.39/5.00 (![Xphi:( $i > $o )]: 32.39/5.00 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 32.39/5.00 ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) ))). 32.39/5.00 thf('111', plain, 32.39/5.00 (( exuE2 ) = 32.39/5.00 ( ![X4:( $i > $o )]: 32.39/5.00 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 32.39/5.00 ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(subPowSU, axiom, subPowSU = 32.39/5.00 (![A:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ))). 32.39/5.00 thf('112', plain, 32.39/5.00 (( subPowSU ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( in @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ ( setunion @ X4 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setunionE, axiom, setunionE = 32.39/5.00 (![A:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ ( setunion @ A ) ) => 32.39/5.00 ( ![Xphi:$o]: 32.39/5.00 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) => 32.39/5.00 ( Xphi ) ) ) ))). 32.39/5.00 thf('113', plain, 32.39/5.00 (( setunionE ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( in @ X6 @ ( setunion @ X4 ) ) => 32.39/5.00 ( ![X8:$o]: 32.39/5.00 ( ( ![X10:$i]: 32.39/5.00 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) => 32.39/5.00 ( X8 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setunionI, axiom, setunionI = 32.39/5.00 (![A:$i,Xx:$i,B:$i]: 32.39/5.00 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))). 32.39/5.00 thf('114', plain, 32.39/5.00 (( setunionI ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X6 @ X8 ) => 32.39/5.00 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(powersetE, axiom, powersetE = 32.39/5.00 (![A:$i,B:$i,Xx:$i]: 32.39/5.00 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 32.39/5.00 thf('115', plain, 32.39/5.00 (( powersetE ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X6 @ ( powerset @ X4 ) ) => 32.39/5.00 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(emptyInPowerset, axiom, emptyInPowerset = 32.39/5.00 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 32.39/5.00 thf('116', plain, 32.39/5.00 (( emptyInPowerset ) = 32.39/5.00 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(emptyinPowerset, axiom, emptyinPowerset = 32.39/5.00 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 32.39/5.00 thf('117', plain, 32.39/5.00 (( emptyinPowerset ) = 32.39/5.00 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(powersetI, axiom, powersetI = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 32.39/5.00 ( in @ B @ ( powerset @ A ) ) ))). 32.39/5.00 thf('118', plain, 32.39/5.00 (( powersetI ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 32.39/5.00 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setoftrueEq, axiom, setoftrueEq = 32.39/5.00 (![A:$i]: ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( $true ) ) ) = ( A ) ))). 32.39/5.00 thf('119', plain, 32.39/5.00 (( setoftrueEq ) = 32.39/5.00 ( ![X4:$i]: ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( $true ) ) ) = ( X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setadjoinOr, axiom, setadjoinOr = 32.39/5.00 (![Xx:$i,A:$i,Xy:$i]: 32.39/5.00 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 32.39/5.00 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 32.39/5.00 thf('120', plain, 32.39/5.00 (( setadjoinOr ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 32.39/5.00 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setadjoinE, axiom, setadjoinE = 32.39/5.00 (![Xx:$i,A:$i,Xy:$i]: 32.39/5.00 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 32.39/5.00 ( ![Xphi:$o]: 32.39/5.00 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) => 32.39/5.00 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))). 32.39/5.00 thf('121', plain, 32.39/5.00 (( setadjoinE ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 32.39/5.00 ( ![X10:$o]: 32.39/5.00 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) => 32.39/5.00 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setadjoinIR, axiom, setadjoinIR = 32.39/5.00 (![Xx:$i,A:$i,Xy:$i]: 32.39/5.00 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))). 32.39/5.00 thf('122', plain, 32.39/5.00 (( setadjoinIR ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(emptyinunitempty, axiom,(( emptyinunitempty ) = 32.39/5.00 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))). 32.39/5.00 thf('123', plain, 32.39/5.00 (( emptyinunitempty ) = 32.39/5.00 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 32.39/5.00 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 32.39/5.00 thf('124', plain, 32.39/5.00 (( emptyinunitempty ) = 32.39/5.00 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setadjoinIL, axiom, setadjoinIL = 32.39/5.00 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))). 32.39/5.00 thf('125', plain, 32.39/5.00 (( setadjoinIL ) = 32.39/5.00 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(nonemptyI1, axiom, nonemptyI1 = 32.39/5.00 (![A:$i]: ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => ( nonempty @ A ) ))). 32.39/5.00 thf('126', plain, 32.39/5.00 (( nonemptyI1 ) = 32.39/5.00 ( ![X4:$i]: ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => ( nonempty @ X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(nonemptyI, axiom, nonemptyI = 32.39/5.00 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ( Xphi @ Xx ) => 32.39/5.00 ( nonempty @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 32.39/5.00 thf('127', plain, 32.39/5.00 (( nonemptyI ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ( X6 @ X8 ) => 32.39/5.00 ( nonempty @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(nonemptyE1, axiom, nonemptyE1 = 32.39/5.00 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 32.39/5.00 thf('128', plain, 32.39/5.00 (( nonemptyE1 ) = 32.39/5.00 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(nonempty, axiom,(( nonempty ) = (^[Xx:$i]: ( ( Xx ) != ( emptyset ) )))). 32.39/5.00 thf('129', plain, (( nonempty ) = ( ^[Xx:$i]: ( ( Xx ) != ( emptyset ) ) )), 32.39/5.00 inference('simplify_rw_rule', [status(thm)], [nonempty])). 32.39/5.00 thf('130', plain, 32.39/5.00 (( nonempty ) = ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setbeta, axiom, setbeta = 32.39/5.00 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) <=> 32.39/5.00 ( Xphi @ Xx ) ) ))). 32.39/5.00 thf('131', plain, 32.39/5.00 (( setbeta ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=> 32.39/5.00 ( X6 @ X8 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(noeltsimpempty, axiom, noeltsimpempty = 32.39/5.00 (![A:$i]: 32.39/5.00 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 32.39/5.00 thf('132', plain, 32.39/5.00 (( noeltsimpempty ) = 32.39/5.00 ( ![X4:$i]: 32.39/5.00 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(emptyI, axiom, emptyI = 32.39/5.00 (![A:$i]: 32.39/5.00 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 32.39/5.00 thf('133', plain, 32.39/5.00 (( emptyI ) = 32.39/5.00 ( ![X4:$i]: 32.39/5.00 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setext, axiom, setext = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 32.39/5.00 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 32.39/5.00 ( ( A ) = ( B ) ) ) ))). 32.39/5.00 thf('134', plain, 32.39/5.00 (( setext ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 32.39/5.00 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) => 32.39/5.00 ( ( X4 ) = ( X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(exuE3e, axiom, exuE3e = 32.39/5.00 (![Xphi:( $i > $o )]: 32.39/5.00 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => ( ?[Xx:$i]: ( Xphi @ Xx ) ) ))). 32.39/5.00 thf('135', plain, 32.39/5.00 (( exuE3e ) = 32.39/5.00 ( ![X4:( $i > $o )]: 32.39/5.00 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => ( ?[X6:$i]: ( X4 @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(notinemptyset, axiom, notinemptyset = 32.39/5.00 (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 32.39/5.00 thf('136', plain, 32.39/5.00 (( notinemptyset ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(emptysetimpfalse, axiom, emptysetimpfalse = 32.39/5.00 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( $false ) ))). 32.39/5.00 thf('137', plain, 32.39/5.00 (( emptysetimpfalse ) = 32.39/5.00 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( $false ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(emptysetE, axiom, emptysetE = 32.39/5.00 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( ![Xphi:$o]: ( Xphi ) ) ))). 32.39/5.00 thf('138', plain, 32.39/5.00 (( emptysetE ) = 32.39/5.00 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( ![X6:$o]: ( X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(prop2setE, axiom, prop2setE = 32.39/5.00 (![Xphi:$o,Xx:$i]: ( ( in @ Xx @ ( prop2set @ Xphi ) ) => ( Xphi ) ))). 32.39/5.00 thf('139', plain, 32.39/5.00 (( prop2setE ) = 32.39/5.00 ( ![X4:$o,X6:$i]: ( ( in @ X6 @ ( prop2set @ X4 ) ) => ( X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(exuE1, axiom, exuE1 = 32.39/5.00 (![Xphi:( $i > $o )]: 32.39/5.00 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 32.39/5.00 ( ?[Xx:$i]: 32.39/5.00 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 32.39/5.00 ( Xphi @ Xx ) ) ) ))). 32.39/5.00 thf('140', plain, 32.39/5.00 (( exuE1 ) = 32.39/5.00 ( ![X4:( $i > $o )]: 32.39/5.00 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 32.39/5.00 ( ?[X6:$i]: 32.39/5.00 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 32.39/5.00 ( X4 @ X6 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(dsetconstrER, axiom, dsetconstrER = 32.39/5.00 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 32.39/5.00 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 32.39/5.00 ( Xphi @ Xx ) ))). 32.39/5.00 thf('141', plain, 32.39/5.00 (( dsetconstrER ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 32.39/5.00 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 32.39/5.00 ( X6 @ X8 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(dsetconstrEL, axiom, dsetconstrEL = 32.39/5.00 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 32.39/5.00 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 32.39/5.00 ( in @ Xx @ A ) ))). 32.39/5.00 thf('142', plain, 32.39/5.00 (( dsetconstrEL ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 32.39/5.00 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 32.39/5.00 ( in @ X8 @ X4 ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(dsetconstrI, axiom, dsetconstrI = 32.39/5.00 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => 32.39/5.00 ( ( Xphi @ Xx ) => 32.39/5.00 ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 32.39/5.00 thf('143', plain, 32.39/5.00 (( dsetconstrI ) = 32.39/5.00 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 32.39/5.00 ( ( in @ X8 @ X4 ) => 32.39/5.00 ( ( X6 @ X8 ) => 32.39/5.00 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(descrp, axiom, descrp = 32.39/5.00 (![Xphi:( $i > $o )]: 32.39/5.00 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 32.39/5.00 ( Xphi @ ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 32.39/5.00 thf('144', plain, 32.39/5.00 (( descrp ) = 32.39/5.00 ( ![X4:( $i > $o )]: 32.39/5.00 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 32.39/5.00 ( X4 @ ( descr @ ( ^[V_2:$i]: ( X4 @ V_2 ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(wellorderingAx, axiom, wellorderingAx = 32.39/5.00 (![A:$i]: 32.39/5.00 ( ?[B:$i]: 32.39/5.00 ( ( ![C:$i]: 32.39/5.00 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) & 32.39/5.00 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) => 32.39/5.00 ( ?[D:$i,Xx:$i]: 32.39/5.00 ( ( ![E:$i]: 32.39/5.00 ( ( in @ E @ B ) => 32.39/5.00 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) | 32.39/5.00 ( in @ Xx @ E ) ) ) ) & 32.39/5.00 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) & 32.39/5.00 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) & 32.39/5.00 ( ![C:$i,D:$i]: 32.39/5.00 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) => 32.39/5.00 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) | 32.39/5.00 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) & 32.39/5.00 ( ![Xx:$i,Xy:$i]: 32.39/5.00 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) => 32.39/5.00 ( ( ![C:$i]: 32.39/5.00 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) => 32.39/5.00 ( ( Xx ) = ( Xy ) ) ) ) ) & 32.39/5.00 ( ![C:$i]: 32.39/5.00 ( ( in @ C @ B ) => 32.39/5.00 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))). 32.39/5.00 thf('145', plain, 32.39/5.00 (( wellorderingAx ) = 32.39/5.00 ( ![X4:$i]: 32.39/5.00 ( ?[X6:$i]: 32.39/5.00 ( ( ![X8:$i]: 32.39/5.00 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) & 32.39/5.00 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) => 32.39/5.00 ( ?[X14:$i,X16:$i]: 32.39/5.00 ( ( ![X18:$i]: 32.39/5.00 ( ( in @ X18 @ X6 ) => 32.39/5.00 ( ( ![X20:$i]: 32.39/5.00 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) | 32.39/5.00 ( in @ X16 @ X18 ) ) ) ) & 32.39/5.00 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) & 32.39/5.00 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) & 32.39/5.00 ( ![X24:$i,X26:$i]: 32.39/5.00 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) => 32.39/5.00 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) | 32.39/5.00 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) & 32.39/5.00 ( ![X32:$i,X34:$i]: 32.39/5.00 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) => 32.39/5.00 ( ( ![X36:$i]: 32.39/5.00 ( ( in @ X36 @ X6 ) => 32.39/5.00 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) => 32.39/5.00 ( ( X32 ) = ( X34 ) ) ) ) ) & 32.39/5.00 ( ![X38:$i]: 32.39/5.00 ( ( in @ X38 @ X6 ) => 32.39/5.00 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(foundationAx, axiom, foundationAx = 32.39/5.00 (![A:$i]: 32.39/5.00 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => 32.39/5.00 ( ?[B:$i]: 32.39/5.00 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) & 32.39/5.00 ( in @ B @ A ) ) ) ))). 32.39/5.00 thf('146', plain, 32.39/5.00 (( foundationAx ) = 32.39/5.00 ( ![X4:$i]: 32.39/5.00 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => 32.39/5.00 ( ?[X8:$i]: 32.39/5.00 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) & 32.39/5.00 ( in @ X8 @ X4 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(replAx, axiom, replAx = 32.39/5.00 (![Xphi:( $i > $i > $o ),A:$i]: 32.39/5.00 ( ( ![Xx:$i]: 32.39/5.00 ( ( in @ Xx @ A ) => ( exu @ ( ^[Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ) ) => 32.39/5.00 ( ?[B:$i]: 32.39/5.00 ( ![Xx:$i]: 32.39/5.00 ( ( in @ Xx @ B ) <=> 32.39/5.00 ( ?[Xy:$i]: ( ( Xphi @ Xy @ Xx ) & ( in @ Xy @ A ) ) ) ) ) ) ))). 32.39/5.00 thf('147', plain, 32.39/5.00 (( replAx ) = 32.39/5.00 ( ![X4:( $i > $i > $o ),X6:$i]: 32.39/5.00 ( ( ![X8:$i]: 32.39/5.00 ( ( in @ X8 @ X6 ) => ( exu @ ( ^[V_1:$i]: ( X4 @ X8 @ V_1 ) ) ) ) ) => 32.39/5.00 ( ?[X10:$i]: 32.39/5.00 ( ![X12:$i]: 32.39/5.00 ( ( in @ X12 @ X10 ) <=> 32.39/5.00 ( ?[X14:$i]: ( ( X4 @ X14 @ X12 ) & ( in @ X14 @ X6 ) ) ) ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(omegaIndAx, axiom, omegaIndAx = 32.39/5.00 (![A:$i]: 32.39/5.00 ( ( ( in @ emptyset @ A ) & 32.39/5.00 ( ![Xx:$i]: 32.39/5.00 ( ( ( in @ Xx @ omega ) & ( in @ Xx @ A ) ) => 32.39/5.00 ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) ) ) => 32.39/5.00 ( ![Xx:$i]: ( ( in @ Xx @ omega ) => ( in @ Xx @ A ) ) ) ))). 32.39/5.00 thf('148', plain, 32.39/5.00 (( omegaIndAx ) = 32.39/5.00 ( ![X4:$i]: 32.39/5.00 ( ( ( in @ emptyset @ X4 ) & 32.39/5.00 ( ![X6:$i]: 32.39/5.00 ( ( ( in @ X6 @ omega ) & ( in @ X6 @ X4 ) ) => 32.39/5.00 ( in @ ( setadjoin @ X6 @ X6 ) @ X4 ) ) ) ) => 32.39/5.00 ( ![X8:$i]: ( ( in @ X8 @ omega ) => ( in @ X8 @ X4 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(omegaSAx, axiom, omegaSAx = 32.39/5.00 (![Xx:$i]: 32.39/5.00 ( ( in @ Xx @ omega ) => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ))). 32.39/5.00 thf('149', plain, 32.39/5.00 (( omegaSAx ) = 32.39/5.00 ( ![X4:$i]: 32.39/5.00 ( ( in @ X4 @ omega ) => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(omega0Ax, axiom,(( omega0Ax ) = (in @ emptyset @ omega))). 32.39/5.00 thf('150', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 32.39/5.00 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 32.39/5.00 thf('151', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setunionAx, axiom, setunionAx = 32.39/5.00 (![A:$i,Xx:$i]: 32.39/5.00 ( ( in @ Xx @ ( setunion @ A ) ) <=> 32.39/5.00 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))). 32.39/5.00 thf('152', plain, 32.39/5.00 (( setunionAx ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( in @ X6 @ ( setunion @ X4 ) ) <=> 32.39/5.00 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(powersetAx, axiom, powersetAx = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( in @ B @ ( powerset @ A ) ) <=> 32.39/5.00 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 32.39/5.00 thf('153', plain, 32.39/5.00 (( powersetAx ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 32.39/5.00 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setadjoinAx, axiom, setadjoinAx = 32.39/5.00 (![Xx:$i,A:$i,Xy:$i]: 32.39/5.00 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=> 32.39/5.00 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 32.39/5.00 thf('154', plain, 32.39/5.00 (( setadjoinAx ) = 32.39/5.00 ( ![X4:$i,X6:$i,X8:$i]: 32.39/5.00 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=> 32.39/5.00 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(emptysetAx, axiom, emptysetAx = (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 32.39/5.00 thf('155', plain, 32.39/5.00 (( emptysetAx ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(setextAx, axiom, setextAx = 32.39/5.00 (![A:$i,B:$i]: 32.39/5.00 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) => 32.39/5.00 ( ( A ) = ( B ) ) ))). 32.39/5.00 thf('156', plain, 32.39/5.00 (( setextAx ) = 32.39/5.00 ( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 32.39/5.00 ( ( X4 ) = ( X6 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(exu, axiom,(( exu ) = 32.39/5.00 (^[Xphi:( $i > $o )]: 32.39/5.00 ( ?[Xx:$i]: 32.39/5.00 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & ( Xphi @ Xx ) ) )))). 32.39/5.00 thf('157', plain, 32.39/5.00 (( exu ) = 32.39/5.00 ( ^[Xphi:( $i > $o )]: 32.39/5.00 ( ?[Xx:$i]: 32.39/5.00 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 32.39/5.00 ( Xphi @ Xx ) ) ) )), 32.39/5.00 inference('simplify_rw_rule', [status(thm)], [exu])). 32.39/5.00 thf('158', plain, 32.39/5.00 (( exu ) = 32.39/5.00 ( ^[V_1:( $i > $o )]: 32.39/5.00 ( ?[X4:$i]: 32.39/5.00 ( ( ![X6:$i]: ( ( V_1 @ X6 ) => ( ( X4 ) = ( X6 ) ) ) ) & 32.39/5.00 ( V_1 @ X4 ) ) ) )), 32.39/5.00 define([status(thm)])). 32.39/5.00 thf(cartprodmempair1, conjecture, 32.39/5.00 (( setextAx ) => 32.39/5.00 ( ( emptysetAx ) => 32.39/5.00 ( ( setadjoinAx ) => 32.39/5.00 ( ( powersetAx ) => 32.39/5.00 ( ( setunionAx ) => 32.39/5.00 ( ( omega0Ax ) => 32.39/5.00 ( ( omegaSAx ) => 32.39/5.00 ( ( omegaIndAx ) => 32.39/5.00 ( ( replAx ) => 32.39/5.00 ( ( foundationAx ) => 32.39/5.00 ( ( wellorderingAx ) => 32.39/5.00 ( ( descrp ) => 32.39/5.00 ( ( dsetconstrI ) => 32.39/5.00 ( ( dsetconstrEL ) => 32.39/5.00 ( ( dsetconstrER ) => 32.39/5.00 ( ( exuE1 ) => 32.39/5.00 ( ( prop2setE ) => 32.39/5.00 ( ( emptysetE ) => 32.39/5.00 ( ( emptysetimpfalse ) => 32.39/5.00 ( ( notinemptyset ) => 32.39/5.00 ( ( exuE3e ) => 32.39/5.00 ( ( setext ) => 32.39/5.00 ( ( emptyI ) => 32.39/5.00 ( ( noeltsimpempty ) => 32.39/5.00 ( ( setbeta ) => 32.39/5.00 ( ( nonemptyE1 ) => 32.39/5.00 ( ( nonemptyI ) => 32.39/5.00 ( ( nonemptyI1 ) => 32.39/5.00 ( ( setadjoinIL ) => 32.39/5.00 ( ( emptyinunitempty ) => 32.39/5.00 ( ( setadjoinIR ) => 32.39/5.00 ( ( setadjoinE ) => 32.39/5.00 ( ( 32.39/5.00 setadjoinOr ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setoftrueEq ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 powersetI ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 emptyinPowerset ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 emptyInPowerset ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 powersetE ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setunionI ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setunionE ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 subPowSU ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 exuE2 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 nonemptyImpWitness ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 uniqinunit ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 notinsingleton ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 eqinunit ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 singletonsswitch ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 upairsetE ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 upairsetIL ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 upairsetIR ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 emptyE1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 vacuousDall ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 quantDeMorgan1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 quantDeMorgan2 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 quantDeMorgan3 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 quantDeMorgan4 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 prop2setI ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 prop2set2propI ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 notdexE ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 notdallE ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 exuI1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 exuI3 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 exuI2 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 inCongP ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in__Cong ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 exuE3u ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 exu__Cong ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 emptyset__Cong ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setadjoin__Cong ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 powerset__Cong ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setunion__Cong ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 omega__Cong ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 exuEu ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 descr__Cong ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 dsetconstr__Cong ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 subsetI1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 eqimpsubset2 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 eqimpsubset1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 subsetI2 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 emptysetsubset ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 subsetE ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 subsetE2 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 notsubsetI ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 notequalI1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 notequalI2 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 subsetRefl ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 subsetTrans ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setadjoinSub ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setadjoinSub2 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 subset2powerset ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setextsub ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 subsetemptysetimpeq ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 powersetI1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 powersetE1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 inPowerset ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 powersetsubset ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 sepInPowerset ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 sepSubset ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binunionIL ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 upairset2IR ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binunionIR ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binunionEcases ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binunionE ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binunionLsub ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binunionRsub ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binintersectI ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binintersectSubset5 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binintersectEL ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binintersectLsub ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binintersectSubset2 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binintersectSubset3 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binintersectER ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 disjointsetsI1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binintersectRsub ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binintersectSubset4 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 binintersectSubset1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 bs114d ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setminusI ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setminusEL ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setminusER ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setminusSubset2 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setminusERneg ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setminusELneg ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setminusILneg ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setminusIRneg ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setminusLsub ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setminusSubset1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 symdiffE ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 symdiffI1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 symdiffI2 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 symdiffIneg1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 symdiffIneg2 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 secondinupair ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setukpairIL ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setukpairIR ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 kpairiskpair ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 kpairp ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 singletonsubset ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 singletoninpowerset ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 singletoninpowunion ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 upairset2E ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 upairsubunion ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 upairinpowunion ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ubforcartprodlem1 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ubforcartprodlem2 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ubforcartprodlem3 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 cartprodpairin ) => 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 A:$i,B:$i, 32.39/5.00 Xu:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 Xu @ 32.39/5.00 ( 32.39/5.00 cartprod @ 32.39/5.00 A @ B ) ) => 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 Xx:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 Xy:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 Xu ) = 32.39/5.00 ( 32.39/5.00 kpair @ 32.39/5.00 Xx @ Xy ) ) & 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 Xy @ B ) ) ) & 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 Xx @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 32.39/5.00 thf(zf_stmt_0, conjecture, 32.39/5.00 (( ![X4:$i,X6:$i]: 32.39/5.00 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 32.39/5.00 ( ( X4 ) = ( X6 ) ) ) ) => 32.39/5.00 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 32.39/5.00 ( ( ![X12:$i,X14:$i,X16:$i]: 32.39/5.00 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 32.39/5.00 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 32.39/5.00 ( ( ![X18:$i,X20:$i]: 32.39/5.00 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 32.39/5.00 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 32.39/5.00 ( ( ![X24:$i,X26:$i]: 32.39/5.00 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 32.39/5.00 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 32.39/5.00 ( ( in @ emptyset @ omega ) => 32.39/5.00 ( ( ![X30:$i]: 32.39/5.00 ( ( in @ X30 @ omega ) => 32.39/5.00 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 32.39/5.00 ( ( ![X32:$i]: 32.39/5.00 ( ( ( ![X34:$i]: 32.39/5.00 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 32.39/5.00 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 32.39/5.00 ( in @ emptyset @ X32 ) ) => 32.39/5.00 ( ![X36:$i]: 32.39/5.00 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 32.39/5.00 ( ( ![X38:( $i > $i > $o ),X40:$i]: 32.39/5.00 ( ( ![X42:$i]: 32.39/5.00 ( ( in @ X42 @ X40 ) => 32.39/5.00 ( ?[X44:$i]: 32.39/5.00 ( ( X38 @ X42 @ X44 ) & 32.39/5.00 ( ![X46:$i]: 32.39/5.00 ( ( X38 @ X42 @ X46 ) => 32.39/5.00 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 32.39/5.00 ( ?[X48:$i]: 32.39/5.00 ( ![X50:$i]: 32.39/5.00 ( ( in @ X50 @ X48 ) <=> 32.39/5.00 ( ?[X52:$i]: 32.39/5.00 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 32.39/5.00 ( ( ![X54:$i]: 32.39/5.00 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 32.39/5.00 ( ?[X58:$i]: 32.39/5.00 ( ( in @ X58 @ X54 ) & 32.39/5.00 ( ~( ?[X60:$i]: 32.39/5.00 ( ( in @ X60 @ X58 ) & ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 32.39/5.00 ( ( ![X62:$i]: 32.39/5.00 ( ?[X64:$i]: 32.39/5.00 ( ( ![X96:$i]: 32.39/5.00 ( ( in @ X96 @ X64 ) => 32.39/5.00 ( ![X98:$i]: 32.39/5.00 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) & 32.39/5.00 ( ![X90:$i,X92:$i]: 32.39/5.00 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 32.39/5.00 ( ( ![X94:$i]: 32.39/5.00 ( ( in @ X94 @ X64 ) => 32.39/5.00 ( ( in @ X90 @ X94 ) <=> 32.39/5.00 ( in @ X92 @ X94 ) ) ) ) => 32.39/5.00 ( ( X90 ) = ( X92 ) ) ) ) ) & 32.39/5.00 ( ![X82:$i,X84:$i]: 32.39/5.00 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 32.39/5.00 ( ( ![X88:$i]: 32.39/5.00 ( ( in @ X88 @ X84 ) => 32.39/5.00 ( in @ X88 @ X82 ) ) ) | 32.39/5.00 ( ![X86:$i]: 32.39/5.00 ( ( in @ X86 @ X82 ) => 32.39/5.00 ( in @ X86 @ X84 ) ) ) ) ) ) & 32.39/5.00 ( ![X66:$i]: 32.39/5.00 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 32.39/5.00 ( ![X68:$i]: 32.39/5.00 ( ( in @ X68 @ X66 ) => 32.39/5.00 ( in @ X68 @ X62 ) ) ) ) => 32.39/5.00 ( ?[X72:$i,X74:$i]: 32.39/5.00 ( ( in @ X72 @ X64 ) & 32.39/5.00 ( in @ X74 @ X66 ) & 32.39/5.00 ( ~( ?[X80:$i]: 32.39/5.00 ( ( in @ X80 @ X72 ) & 32.39/5.00 ( in @ X80 @ X66 ) ) ) ) & 32.39/5.00 ( ![X76:$i]: 32.39/5.00 ( ( in @ X76 @ X64 ) => 32.39/5.00 ( ( in @ X74 @ X76 ) | 32.39/5.00 ( ![X78:$i]: 32.39/5.00 ( ( in @ X78 @ X76 ) => 32.39/5.00 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 32.39/5.00 ( ( ![X100:( $i > $o )]: 32.39/5.00 ( ( ?[X102:$i]: 32.39/5.00 ( ( X100 @ X102 ) & 32.39/5.00 ( ![X104:$i]: 32.39/5.00 ( ( X100 @ X104 ) => 32.39/5.00 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 32.39/5.00 ( X100 @ 32.39/5.00 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 32.39/5.00 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 32.39/5.00 ( ( in @ X110 @ X106 ) => 32.39/5.00 ( ( X108 @ X110 ) => 32.39/5.00 ( in @ 32.39/5.00 X110 @ 32.39/5.00 ( dsetconstr @ 32.39/5.00 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 32.39/5.00 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 32.39/5.00 ( ( in @ 32.39/5.00 X116 @ 32.39/5.00 ( dsetconstr @ 32.39/5.00 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 32.39/5.00 ( in @ X116 @ X112 ) ) ) => 32.39/5.00 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 32.39/5.00 ( ( in @ 32.39/5.00 X122 @ 32.39/5.00 ( dsetconstr @ 32.39/5.00 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 32.39/5.00 ( X120 @ X122 ) ) ) => 32.39/5.00 ( ( ![X124:( $i > $o )]: 32.39/5.00 ( ( ?[X126:$i]: 32.39/5.00 ( ( X124 @ X126 ) & 32.39/5.00 ( ![X128:$i]: 32.39/5.00 ( ( X124 @ X128 ) => 32.39/5.00 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 32.39/5.00 ( ?[X130:$i]: 32.39/5.00 ( ( X124 @ X130 ) & 32.39/5.00 ( ![X132:$i]: 32.39/5.00 ( ( X124 @ X132 ) => 32.39/5.00 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 32.39/5.00 ( ( ![X134:$o,X136:$i]: 32.39/5.00 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 32.39/5.00 ( X134 ) ) ) => 32.39/5.00 ( ( ![X138:$i]: 32.39/5.00 ( ( in @ X138 @ emptyset ) => 32.39/5.00 ( ![X140:$o]: ( X140 ) ) ) ) => 32.39/5.00 ( ( ![X142:$i]: 32.39/5.00 ( ~( in @ X142 @ emptyset ) ) ) => 32.39/5.00 ( ( ![X144:$i]: 32.39/5.00 ( ~( in @ X144 @ emptyset ) ) ) => 32.39/5.00 ( ( ![X146:( $i > $o )]: 32.39/5.00 ( ( ?[X148:$i]: 32.39/5.00 ( ( X146 @ X148 ) & 32.39/5.00 ( ![X150:$i]: 32.39/5.00 ( ( X146 @ X150 ) => 32.39/5.00 ( ( X148 ) = ( X150 ) ) ) ) ) ) => 32.39/5.00 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 32.39/5.00 ( ( ![X154:$i,X156:$i]: 32.39/5.00 ( ( ![X158:$i]: 32.39/5.00 ( ( in @ X158 @ X154 ) => 32.39/5.00 ( in @ X158 @ X156 ) ) ) => 32.39/5.00 ( ( ![X160:$i]: 32.39/5.00 ( ( in @ X160 @ X156 ) => 32.39/5.00 ( in @ X160 @ X154 ) ) ) => 32.39/5.00 ( ( X154 ) = ( X156 ) ) ) ) ) => 32.39/5.00 ( ( ![X162:$i]: 32.39/5.00 ( ( ![X164:$i]: 32.39/5.00 ( ~( in @ X164 @ X162 ) ) ) => 32.39/5.00 ( ( X162 ) = ( emptyset ) ) ) ) => 32.39/5.00 ( ( ![X166:$i]: 32.39/5.00 ( ( ![X168:$i]: 32.39/5.00 ( ~( in @ X168 @ X166 ) ) ) => 32.39/5.00 ( ( X166 ) = 32.39/5.00 ( emptyset ) ) ) ) => 32.39/5.00 ( ( ![X170:$i, 32.39/5.00 X172:( $i > $o ), 32.39/5.00 X174:$i]: 32.39/5.00 ( ( in @ X174 @ X170 ) => 32.39/5.00 ( ( in @ 32.39/5.00 X174 @ 32.39/5.00 ( dsetconstr @ 32.39/5.00 X170 @ 32.39/5.00 ( ^[V_5:$i]: 32.39/5.00 ( X172 @ V_5 ) ) ) ) <=> 32.39/5.00 ( X172 @ X174 ) ) ) ) => 32.39/5.00 ( ( ![X176:$i]: 32.39/5.00 ( ( ( X176 ) != 32.39/5.00 ( emptyset ) ) => 32.39/5.00 ( ?[X178:$i]: 32.39/5.00 ( in @ X178 @ X176 ) ) ) ) => 32.39/5.00 ( ( ![X180:$i, 32.39/5.00 X182:( $i > $o ), 32.39/5.00 X184:$i]: 32.39/5.00 ( ( in @ X184 @ X180 ) => 32.39/5.00 ( ( X182 @ X184 ) => 32.39/5.00 ( ( dsetconstr @ 32.39/5.00 X180 @ 32.39/5.00 ( ^[ 32.39/5.00 V_6:$i]: 32.39/5.00 ( 32.39/5.00 X182 @ V_6 ) ) ) != 32.39/5.00 ( emptyset ) ) ) ) ) => 32.39/5.00 ( ( ![X186:$i]: 32.39/5.00 ( ( ?[X188:$i]: 32.39/5.00 ( in @ 32.39/5.00 X188 @ X186 ) ) => 32.39/5.00 ( ( X186 ) != 32.39/5.00 ( emptyset ) ) ) ) => 32.39/5.00 ( ( ![X190:$i, 32.39/5.00 X192:$i]: 32.39/5.00 ( in @ 32.39/5.00 X190 @ 32.39/5.00 ( setadjoin @ 32.39/5.00 X190 @ X192 ) ) ) => 32.39/5.00 ( ( in @ 32.39/5.00 emptyset @ 32.39/5.00 ( setadjoin @ 32.39/5.00 emptyset @ 32.39/5.00 emptyset ) ) => 32.39/5.00 ( ( ![X194:$i, 32.39/5.00 X196:$i, 32.39/5.00 X198:$i]: 32.39/5.00 ( ( 32.39/5.00 in @ 32.39/5.00 X198 @ 32.39/5.00 X196 ) => 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X198 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X194 @ 32.39/5.00 X196 ) ) ) ) => 32.39/5.00 ( ( ![ 32.39/5.00 X200:$i, 32.39/5.00 X202:$i, 32.39/5.00 X204:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X204 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X200 @ 32.39/5.00 X202 ) ) => 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X206:$o]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X204 ) = 32.39/5.00 ( 32.39/5.00 X200 ) ) => 32.39/5.00 ( 32.39/5.00 X206 ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X204 @ 32.39/5.00 X202 ) => 32.39/5.00 ( 32.39/5.00 X206 ) ) => 32.39/5.00 ( 32.39/5.00 X206 ) ) ) ) ) ) => 32.39/5.00 ( ( 32.39/5.00 ![ 32.39/5.00 X208:$i, 32.39/5.00 X210:$i, 32.39/5.00 X212:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X212 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X208 @ 32.39/5.00 X210 ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X212 @ 32.39/5.00 X210 ) | 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X212 ) = 32.39/5.00 ( 32.39/5.00 X208 ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X214:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 dsetconstr 32.39/5.00 @ 32.39/5.00 X214 @ 32.39/5.00 ( 32.39/5.00 ^[ 32.39/5.00 V_7:$i]: 32.39/5.00 ( 32.39/5.00 $true ) ) ) = 32.39/5.00 ( 32.39/5.00 X214 ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X216:$i, 32.39/5.00 X218:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X220:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X220 @ 32.39/5.00 X218 ) => 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X220 @ 32.39/5.00 X216 ) ) ) => 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X218 @ 32.39/5.00 ( 32.39/5.00 powerset @ 32.39/5.00 X216 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X222:$i]: 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 emptyset @ 32.39/5.00 ( 32.39/5.00 powerset @ 32.39/5.00 X222 ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X224:$i]: 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 emptyset @ 32.39/5.00 ( 32.39/5.00 powerset @ 32.39/5.00 X224 ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X226:$i, 32.39/5.00 X228:$i, 32.39/5.00 X230:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X228 @ 32.39/5.00 ( 32.39/5.00 powerset @ 32.39/5.00 X226 ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X230 @ 32.39/5.00 X228 ) => 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X230 @ 32.39/5.00 X226 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X232:$i, 32.39/5.00 X234:$i, 32.39/5.00 X236:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X234 @ 32.39/5.00 X236 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X236 @ 32.39/5.00 X232 ) => 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X234 @ 32.39/5.00 ( 32.39/5.00 setunion @ 32.39/5.00 X232 ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X238:$i, 32.39/5.00 X240:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X240 @ 32.39/5.00 ( 32.39/5.00 setunion @ 32.39/5.00 X238 ) ) => 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X242:$o]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X244:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X240 @ 32.39/5.00 X244 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X244 @ 32.39/5.00 X238 ) => 32.39/5.00 ( 32.39/5.00 X242 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 X242 ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X246:$i, 32.39/5.00 X248:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X248 @ 32.39/5.00 X246 ) => 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X248 @ 32.39/5.00 ( 32.39/5.00 powerset @ 32.39/5.00 ( 32.39/5.00 setunion @ 32.39/5.00 X246 ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X250:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X252:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X250 @ 32.39/5.00 X252 ) & 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X254:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X250 @ 32.39/5.00 X254 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X252 ) = 32.39/5.00 ( 32.39/5.00 X254 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X256:$i]: 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X258:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X250 @ 32.39/5.00 X258 ) <=> 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X258 ) = 32.39/5.00 ( 32.39/5.00 X256 ) ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X260:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X260 ) != 32.39/5.00 ( 32.39/5.00 emptyset ) ) => 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X262:$i]: 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X262 @ 32.39/5.00 X260 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X264:$i, 32.39/5.00 X266:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X264 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X266 @ 32.39/5.00 emptyset ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X264 ) = 32.39/5.00 ( 32.39/5.00 X266 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X268:$i, 32.39/5.00 X270:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X268 ) != 32.39/5.00 ( 32.39/5.00 X270 ) ) => 32.39/5.00 ( 32.39/5.00 ~( 32.39/5.00 in @ 32.39/5.00 X270 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X268 @ 32.39/5.00 emptyset ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X272:$i, 32.39/5.00 X274:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X272 ) = 32.39/5.00 ( 32.39/5.00 X274 ) ) => 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X272 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X274 @ 32.39/5.00 emptyset ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X276:$i, 32.39/5.00 X278:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X276 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X278 @ 32.39/5.00 emptyset ) ) => 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X278 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X276 @ 32.39/5.00 emptyset ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X280:$i, 32.39/5.00 X282:$i, 32.39/5.00 X284:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X284 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X280 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X282 @ 32.39/5.00 emptyset ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X284 ) = 32.39/5.00 ( 32.39/5.00 X282 ) ) | 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X284 ) = 32.39/5.00 ( 32.39/5.00 X280 ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X286:$i, 32.39/5.00 X288:$i]: 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X286 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X286 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X288 @ 32.39/5.00 emptyset ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X290:$i, 32.39/5.00 X292:$i]: 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X292 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X290 @ 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X292 @ 32.39/5.00 emptyset ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X294:$i, 32.39/5.00 X296:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X298:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X298 @ 32.39/5.00 X294 ) & 32.39/5.00 ( 32.39/5.00 X296 @ 32.39/5.00 X298 ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 dsetconstr 32.39/5.00 @ 32.39/5.00 X294 @ 32.39/5.00 ( 32.39/5.00 ^[ 32.39/5.00 V_8:$i]: 32.39/5.00 ( 32.39/5.00 X296 @ V_8 ) ) ) != 32.39/5.00 ( 32.39/5.00 emptyset ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X300:( 32.39/5.00 $i > $o ), 32.39/5.00 X302:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X302 @ 32.39/5.00 emptyset ) => 32.39/5.00 ( 32.39/5.00 X300 @ 32.39/5.00 X302 ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X304:$i, 32.39/5.00 X306:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ~( 32.39/5.00 ![ 32.39/5.00 X308:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X308 @ 32.39/5.00 X304 ) => 32.39/5.00 ( 32.39/5.00 X306 @ 32.39/5.00 X308 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X310:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X310 @ 32.39/5.00 X304 ) & 32.39/5.00 ( 32.39/5.00 ~( 32.39/5.00 X306 @ 32.39/5.00 X310 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X312:$i, 32.39/5.00 X314:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X316:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X316 @ 32.39/5.00 X312 ) => 32.39/5.00 ( 32.39/5.00 ~( 32.39/5.00 X314 @ 32.39/5.00 X316 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ~( 32.39/5.00 ?[ 32.39/5.00 X318:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X318 @ 32.39/5.00 X312 ) & 32.39/5.00 ( 32.39/5.00 X314 @ 32.39/5.00 X318 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X320:$i, 32.39/5.00 X322:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ~( 32.39/5.00 ?[ 32.39/5.00 X324:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X324 @ 32.39/5.00 X320 ) & 32.39/5.00 ( 32.39/5.00 X322 @ 32.39/5.00 X324 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X326:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X326 @ 32.39/5.00 X320 ) => 32.39/5.00 ( 32.39/5.00 ~( 32.39/5.00 X322 @ 32.39/5.00 X326 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X328:$i, 32.39/5.00 X330:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X332:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X332 @ 32.39/5.00 X328 ) & 32.39/5.00 ( 32.39/5.00 ~( 32.39/5.00 X330 @ 32.39/5.00 X332 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ~( 32.39/5.00 ![ 32.39/5.00 X334:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X334 @ 32.39/5.00 X328 ) => 32.39/5.00 ( 32.39/5.00 X330 @ 32.39/5.00 X334 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X336:$o]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X336 ) => 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 emptyset @ 32.39/5.00 ( 32.39/5.00 prop2set @ 32.39/5.00 X336 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X338:$o]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X338 ) => 32.39/5.00 ( 32.39/5.00 set2prop @ 32.39/5.00 ( 32.39/5.00 prop2set @ 32.39/5.00 X338 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X340:$i, 32.39/5.00 X342:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ~( 32.39/5.00 ?[ 32.39/5.00 X344:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X344 @ 32.39/5.00 X340 ) & 32.39/5.00 ( 32.39/5.00 X342 @ 32.39/5.00 X344 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X346:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X346 @ 32.39/5.00 X340 ) => 32.39/5.00 ( 32.39/5.00 ~( 32.39/5.00 X342 @ 32.39/5.00 X346 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X348:$i, 32.39/5.00 X350:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ~( 32.39/5.00 ![ 32.39/5.00 X352:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X352 @ 32.39/5.00 X348 ) => 32.39/5.00 ( 32.39/5.00 X350 @ 32.39/5.00 X352 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X354:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X354 @ 32.39/5.00 X348 ) & 32.39/5.00 ( 32.39/5.00 ~( 32.39/5.00 X350 @ 32.39/5.00 X354 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X356:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X358:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X356 @ 32.39/5.00 X358 ) & 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X360:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X356 @ 32.39/5.00 X360 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X358 ) = 32.39/5.00 ( 32.39/5.00 X360 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X362:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X356 @ 32.39/5.00 X362 ) & 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X364:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X356 @ 32.39/5.00 X364 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X362 ) = 32.39/5.00 ( 32.39/5.00 X364 ) ) ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X366:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X368:$i]: 32.39/5.00 ( 32.39/5.00 X366 @ 32.39/5.00 X368 ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X370:$i, 32.39/5.00 X372:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X366 @ 32.39/5.00 X370 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X366 @ 32.39/5.00 X372 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X370 ) = 32.39/5.00 ( 32.39/5.00 X372 ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X374:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X366 @ 32.39/5.00 X374 ) & 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X376:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X366 @ 32.39/5.00 X376 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X374 ) = 32.39/5.00 ( 32.39/5.00 X376 ) ) ) ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X378:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X380:$i]: 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X382:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X378 @ 32.39/5.00 X382 ) <=> 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X382 ) = 32.39/5.00 ( 32.39/5.00 X380 ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X384:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X378 @ 32.39/5.00 X384 ) & 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X386:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X378 @ 32.39/5.00 X386 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X384 ) = 32.39/5.00 ( 32.39/5.00 X386 ) ) ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X388:$i, 32.39/5.00 X390:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X388 ) = 32.39/5.00 ( 32.39/5.00 X390 ) ) => 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X392:$i, 32.39/5.00 X394:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X392 ) = 32.39/5.00 ( 32.39/5.00 X394 ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X392 @ 32.39/5.00 X388 ) => 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X394 @ 32.39/5.00 X390 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X396:$i, 32.39/5.00 X398:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X396 ) = 32.39/5.00 ( 32.39/5.00 X398 ) ) => 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X400:$i, 32.39/5.00 X402:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X400 ) = 32.39/5.00 ( 32.39/5.00 X402 ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X400 @ 32.39/5.00 X396 ) <=> 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X402 @ 32.39/5.00 X398 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X404:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X406:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X404 @ 32.39/5.00 X406 ) & 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X408:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X404 @ 32.39/5.00 X408 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X406 ) = 32.39/5.00 ( 32.39/5.00 X408 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X410:$i, 32.39/5.00 X412:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X404 @ 32.39/5.00 X410 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X404 @ 32.39/5.00 X412 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X410 ) = 32.39/5.00 ( 32.39/5.00 X412 ) ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X414:( 32.39/5.00 $i > $o ), 32.39/5.00 X416:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X418:$i, 32.39/5.00 X420:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X418 ) = 32.39/5.00 ( 32.39/5.00 X420 ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X414 @ 32.39/5.00 X418 ) <=> 32.39/5.00 ( 32.39/5.00 X416 @ 32.39/5.00 X420 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X422:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X414 @ 32.39/5.00 X422 ) & 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X424:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X414 @ 32.39/5.00 X424 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X422 ) = 32.39/5.00 ( 32.39/5.00 X424 ) ) ) ) ) ) <=> 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X426:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X416 @ 32.39/5.00 X426 ) & 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X428:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X416 @ 32.39/5.00 X428 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X426 ) = 32.39/5.00 ( 32.39/5.00 X428 ) ) ) ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 emptyset ) = 32.39/5.00 ( 32.39/5.00 emptyset ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X430:$i, 32.39/5.00 X432:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X430 ) = 32.39/5.00 ( 32.39/5.00 X432 ) ) => 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X434:$i, 32.39/5.00 X436:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X434 ) = 32.39/5.00 ( 32.39/5.00 X436 ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X430 @ 32.39/5.00 X434 ) = 32.39/5.00 ( 32.39/5.00 setadjoin 32.39/5.00 @ 32.39/5.00 X432 @ 32.39/5.00 X436 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X438:$i, 32.39/5.00 X440:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X438 ) = 32.39/5.00 ( 32.39/5.00 X440 ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 powerset @ 32.39/5.00 X438 ) = 32.39/5.00 ( 32.39/5.00 powerset @ 32.39/5.00 X440 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X442:$i, 32.39/5.00 X444:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X442 ) = 32.39/5.00 ( 32.39/5.00 X444 ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 setunion @ 32.39/5.00 X442 ) = 32.39/5.00 ( 32.39/5.00 setunion @ 32.39/5.00 X444 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 omega ) = 32.39/5.00 ( 32.39/5.00 omega ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X446:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X448:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X446 @ 32.39/5.00 X448 ) & 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X450:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X446 @ 32.39/5.00 X450 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X448 ) = 32.39/5.00 ( 32.39/5.00 X450 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X452:$i, 32.39/5.00 X454:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X446 @ 32.39/5.00 X452 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X446 @ 32.39/5.00 X454 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X452 ) = 32.39/5.00 ( 32.39/5.00 X454 ) ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X456:( 32.39/5.00 $i > $o ), 32.39/5.00 X458:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X460:$i, 32.39/5.00 X462:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X460 ) = 32.39/5.00 ( 32.39/5.00 X462 ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X456 @ 32.39/5.00 X460 ) <=> 32.39/5.00 ( 32.39/5.00 X458 @ 32.39/5.00 X462 ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X464:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X456 @ 32.39/5.00 X464 ) & 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X466:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X456 @ 32.39/5.00 X466 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X464 ) = 32.39/5.00 ( 32.39/5.00 X466 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ?[ 32.39/5.00 X468:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X458 @ 32.39/5.00 X468 ) & 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X470:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X458 @ 32.39/5.00 X470 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X468 ) = 32.39/5.00 ( 32.39/5.00 X470 ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 descr @ 32.39/5.00 ( 32.39/5.00 ^[ 32.39/5.00 V_9:$i]: 32.39/5.00 ( 32.39/5.00 X456 @ V_9 ) ) ) = 32.39/5.00 ( 32.39/5.00 descr @ 32.39/5.00 ( 32.39/5.00 ^[ 32.39/5.00 V_10:$i]: 32.39/5.00 ( 32.39/5.00 X458 @ 32.39/5.00 V_10 ) ) ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X472:$i, 32.39/5.00 X474:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X472 ) = 32.39/5.00 ( 32.39/5.00 X474 ) ) => 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X476:( 32.39/5.00 $i > $o ), 32.39/5.00 X478:( 32.39/5.00 $i > $o )]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X480:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X480 @ 32.39/5.00 X472 ) => 32.39/5.00 ( 32.39/5.00 ![ 32.39/5.00 X482:$i]: 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 in @ 32.39/5.00 X482 @ 32.39/5.00 X474 ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X480 ) = 32.39/5.00 ( 32.39/5.00 X482 ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 X476 @ 32.39/5.00 X480 ) <=> 32.39/5.00 ( 32.39/5.00 X478 @ 32.39/5.00 X482 ) ) ) ) ) ) ) => 32.39/5.00 ( 32.39/5.00 ( 32.39/5.00 dsetconstr 32.39/5.00 @ 32.39/5.00 X472 @ 32.39/5.00 ( 32.39/5.00 ^[ 32.39/5.00 V_11:$i]: 32.39/5.00 ( 32.39/5.00 X476 @ 32.39/5.00 V_11 ) ) ) = 32.39/5.00 ( 32.39/5.00 dsetconstr 32.39/5.00 @ 32.39/5.00 X474 @ 32.39/5.00 ( 32.39/5.01 ^[ 32.39/5.01 V_12:$i]: 32.39/5.01 ( 32.39/5.01 X478 @ 32.39/5.01 V_12 ) ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X484:$i, 32.39/5.01 X486:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X488:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X488 @ 32.39/5.01 X484 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X488 @ 32.39/5.01 X486 ) ) ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X484 @ 32.39/5.01 X486 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X490:$i, 32.39/5.01 X492:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X490 ) = 32.39/5.01 ( 32.39/5.01 X492 ) ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X492 @ 32.39/5.01 X490 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X494:$i, 32.39/5.01 X496:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X494 ) = 32.39/5.01 ( 32.39/5.01 X496 ) ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X494 @ 32.39/5.01 X496 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X498:$i, 32.39/5.01 X500:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X502:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X502 @ 32.39/5.01 X498 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X502 @ 32.39/5.01 X500 ) ) ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X498 @ 32.39/5.01 X500 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X504:$i]: 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 emptyset @ 32.39/5.01 X504 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X506:$i, 32.39/5.01 X508:$i, 32.39/5.01 X510:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X506 @ 32.39/5.01 X508 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X510 @ 32.39/5.01 X506 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X510 @ 32.39/5.01 X508 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X512:$i, 32.39/5.01 X514:$i, 32.39/5.01 X516:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X512 @ 32.39/5.01 X514 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X516 @ 32.39/5.01 X514 ) ) => 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X516 @ 32.39/5.01 X512 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X518:$i, 32.39/5.01 X520:$i, 32.39/5.01 X522:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X522 @ 32.39/5.01 X518 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X522 @ 32.39/5.01 X520 ) ) => 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 subset @ 32.39/5.01 X518 @ 32.39/5.01 X520 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X524:$i, 32.39/5.01 X526:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 subset @ 32.39/5.01 X524 @ 32.39/5.01 X526 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X524 ) != 32.39/5.01 ( 32.39/5.01 X526 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X528:$i, 32.39/5.01 X530:$i, 32.39/5.01 X532:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X532 @ 32.39/5.01 X528 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X532 @ 32.39/5.01 X530 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X528 ) != 32.39/5.01 ( 32.39/5.01 X530 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X534:$i]: 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X534 @ 32.39/5.01 X534 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X536:$i, 32.39/5.01 X538:$i, 32.39/5.01 X540:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X536 @ 32.39/5.01 X538 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X538 @ 32.39/5.01 X540 ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X536 @ 32.39/5.01 X540 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X542:$i, 32.39/5.01 X544:$i]: 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X544 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X542 @ 32.39/5.01 X544 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X546:$i, 32.39/5.01 X548:$i, 32.39/5.01 X550:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X546 @ 32.39/5.01 X550 ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X546 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X548 @ 32.39/5.01 X550 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X552:$i, 32.39/5.01 X554:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X552 @ 32.39/5.01 X554 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X552 @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 X554 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X556:$i, 32.39/5.01 X558:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X556 @ 32.39/5.01 X558 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X558 @ 32.39/5.01 X556 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X556 ) = 32.39/5.01 ( 32.39/5.01 X558 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X560:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X560 @ 32.39/5.01 emptyset ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X560 ) = 32.39/5.01 ( 32.39/5.01 emptyset ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X562:$i, 32.39/5.01 X564:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X564 @ 32.39/5.01 X562 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X564 @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 X562 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X566:$i, 32.39/5.01 X568:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X568 @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 X566 ) ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X568 @ 32.39/5.01 X566 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X570:$i]: 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X570 @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 X570 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X572:$i, 32.39/5.01 X574:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X572 @ 32.39/5.01 X574 ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 X572 ) @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 X574 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X576:$i, 32.39/5.01 X578:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 ( 32.39/5.01 dsetconstr 32.39/5.01 @ 32.39/5.01 X576 @ 32.39/5.01 ( 32.39/5.01 ^[ 32.39/5.01 V_13:$i]: 32.39/5.01 ( 32.39/5.01 X578 @ 32.39/5.01 V_13 ) ) ) @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 X576 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X580:$i, 32.39/5.01 X582:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 ( 32.39/5.01 dsetconstr 32.39/5.01 @ 32.39/5.01 X580 @ 32.39/5.01 ( 32.39/5.01 ^[ 32.39/5.01 V_14:$i]: 32.39/5.01 ( 32.39/5.01 X582 @ 32.39/5.01 V_14 ) ) ) @ 32.39/5.01 X580 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X584:$i, 32.39/5.01 X586:$i, 32.39/5.01 X588:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X588 @ 32.39/5.01 X584 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X588 @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X584 @ 32.39/5.01 X586 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X590:$i, 32.39/5.01 X592:$i]: 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X592 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X590 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X592 @ 32.39/5.01 emptyset ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X594:$i, 32.39/5.01 X596:$i, 32.39/5.01 X598:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X598 @ 32.39/5.01 X596 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X598 @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X594 @ 32.39/5.01 X596 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X600:$i, 32.39/5.01 X602:$i, 32.39/5.01 X604:$i, 32.39/5.01 X606:$o]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X604 @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X600 @ 32.39/5.01 X602 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X604 @ 32.39/5.01 X600 ) => 32.39/5.01 ( 32.39/5.01 X606 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X604 @ 32.39/5.01 X602 ) => 32.39/5.01 ( 32.39/5.01 X606 ) ) => 32.39/5.01 ( 32.39/5.01 X606 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X608:$i, 32.39/5.01 X610:$i, 32.39/5.01 X612:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X612 @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X608 @ 32.39/5.01 X610 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X612 @ 32.39/5.01 X610 ) | 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X612 @ 32.39/5.01 X608 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X614:$i, 32.39/5.01 X616:$i]: 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X614 @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X614 @ 32.39/5.01 X616 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X618:$i, 32.39/5.01 X620:$i]: 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X620 @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X618 @ 32.39/5.01 X620 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X622:$i, 32.39/5.01 X624:$i, 32.39/5.01 X626:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X626 @ 32.39/5.01 X622 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X626 @ 32.39/5.01 X624 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X626 @ 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X622 @ 32.39/5.01 X624 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X628:$i, 32.39/5.01 X630:$i, 32.39/5.01 X632:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X632 @ 32.39/5.01 X628 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X632 @ 32.39/5.01 X630 ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X632 @ 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X628 @ 32.39/5.01 X630 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X634:$i, 32.39/5.01 X636:$i, 32.39/5.01 X638:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X638 @ 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X634 @ 32.39/5.01 X636 ) ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X638 @ 32.39/5.01 X634 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X640:$i, 32.39/5.01 X642:$i]: 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X640 @ 32.39/5.01 X642 ) @ 32.39/5.01 X640 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X644:$i, 32.39/5.01 X646:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X644 @ 32.39/5.01 X646 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X644 @ 32.39/5.01 X646 ) = 32.39/5.01 ( 32.39/5.01 X644 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X648:$i, 32.39/5.01 X650:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X648 @ 32.39/5.01 X650 ) = 32.39/5.01 ( 32.39/5.01 X650 ) ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X650 @ 32.39/5.01 X648 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X652:$i, 32.39/5.01 X654:$i, 32.39/5.01 X656:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X656 @ 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X652 @ 32.39/5.01 X654 ) ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X656 @ 32.39/5.01 X654 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X658:$i, 32.39/5.01 X660:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 ?[ 32.39/5.01 X662:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X662 @ 32.39/5.01 X658 ) & 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X662 @ 32.39/5.01 X660 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X658 @ 32.39/5.01 X660 ) = 32.39/5.01 ( 32.39/5.01 emptyset ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X664:$i, 32.39/5.01 X666:$i]: 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X664 @ 32.39/5.01 X666 ) @ 32.39/5.01 X666 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X668:$i, 32.39/5.01 X670:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X670 @ 32.39/5.01 X668 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X668 @ 32.39/5.01 X670 ) = 32.39/5.01 ( 32.39/5.01 X670 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X672:$i, 32.39/5.01 X674:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X672 @ 32.39/5.01 X674 ) = 32.39/5.01 ( 32.39/5.01 X672 ) ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X672 @ 32.39/5.01 X674 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X676:$i, 32.39/5.01 X678:$i, 32.39/5.01 X680:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X676 @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X678 @ 32.39/5.01 X680 ) ) = 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X676 @ 32.39/5.01 X678 ) @ 32.39/5.01 ( 32.39/5.01 binintersect 32.39/5.01 @ 32.39/5.01 X676 @ 32.39/5.01 X680 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X682:$i, 32.39/5.01 X684:$i, 32.39/5.01 X686:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X686 @ 32.39/5.01 X682 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X686 @ 32.39/5.01 X684 ) ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X686 @ 32.39/5.01 ( 32.39/5.01 setminus @ 32.39/5.01 X682 @ 32.39/5.01 X684 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X688:$i, 32.39/5.01 X690:$i, 32.39/5.01 X692:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X692 @ 32.39/5.01 ( 32.39/5.01 setminus @ 32.39/5.01 X688 @ 32.39/5.01 X690 ) ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X692 @ 32.39/5.01 X688 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X694:$i, 32.39/5.01 X696:$i, 32.39/5.01 X698:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X698 @ 32.39/5.01 ( 32.39/5.01 setminus @ 32.39/5.01 X694 @ 32.39/5.01 X696 ) ) => 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X698 @ 32.39/5.01 X696 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X700:$i, 32.39/5.01 X702:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X700 @ 32.39/5.01 X702 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 setminus @ 32.39/5.01 X700 @ 32.39/5.01 X702 ) = 32.39/5.01 ( 32.39/5.01 emptyset ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X704:$i, 32.39/5.01 X706:$i, 32.39/5.01 X708:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X708 @ 32.39/5.01 ( 32.39/5.01 setminus 32.39/5.01 @ 32.39/5.01 X704 @ 32.39/5.01 X706 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X708 @ 32.39/5.01 X704 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X708 @ 32.39/5.01 X706 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X710:$i, 32.39/5.01 X712:$i, 32.39/5.01 X714:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X714 @ 32.39/5.01 ( 32.39/5.01 setminus 32.39/5.01 @ 32.39/5.01 X710 @ 32.39/5.01 X712 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X714 @ 32.39/5.01 X712 ) ) => 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X714 @ 32.39/5.01 X710 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X716:$i, 32.39/5.01 X718:$i, 32.39/5.01 X720:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X720 @ 32.39/5.01 X716 ) ) => 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X720 @ 32.39/5.01 ( 32.39/5.01 setminus 32.39/5.01 @ 32.39/5.01 X716 @ 32.39/5.01 X718 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X722:$i, 32.39/5.01 X724:$i, 32.39/5.01 X726:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X726 @ 32.39/5.01 X724 ) => 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X726 @ 32.39/5.01 ( 32.39/5.01 setminus 32.39/5.01 @ 32.39/5.01 X722 @ 32.39/5.01 X724 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X728:$i, 32.39/5.01 X730:$i]: 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 ( 32.39/5.01 setminus @ 32.39/5.01 X728 @ 32.39/5.01 X730 ) @ 32.39/5.01 X728 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X732:$i, 32.39/5.01 X734:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 setminus @ 32.39/5.01 X732 @ 32.39/5.01 X734 ) = 32.39/5.01 ( 32.39/5.01 emptyset ) ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X732 @ 32.39/5.01 X734 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X736:$i, 32.39/5.01 X738:$i, 32.39/5.01 X740:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X740 @ 32.39/5.01 ( 32.39/5.01 symdiff @ 32.39/5.01 X736 @ 32.39/5.01 X738 ) ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X742:$o]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X740 @ 32.39/5.01 X736 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X740 @ 32.39/5.01 X738 ) ) => 32.39/5.01 ( 32.39/5.01 X742 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X740 @ 32.39/5.01 X736 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X740 @ 32.39/5.01 X738 ) => 32.39/5.01 ( 32.39/5.01 X742 ) ) ) => 32.39/5.01 ( 32.39/5.01 X742 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X744:$i, 32.39/5.01 X746:$i, 32.39/5.01 X748:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X748 @ 32.39/5.01 X744 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X748 @ 32.39/5.01 X746 ) ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X748 @ 32.39/5.01 ( 32.39/5.01 symdiff @ 32.39/5.01 X744 @ 32.39/5.01 X746 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X750:$i, 32.39/5.01 X752:$i, 32.39/5.01 X754:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X754 @ 32.39/5.01 X750 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X754 @ 32.39/5.01 X752 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X754 @ 32.39/5.01 ( 32.39/5.01 symdiff @ 32.39/5.01 X750 @ 32.39/5.01 X752 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X756:$i, 32.39/5.01 X758:$i, 32.39/5.01 X760:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X760 @ 32.39/5.01 X756 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X760 @ 32.39/5.01 X758 ) => 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X760 @ 32.39/5.01 ( 32.39/5.01 symdiff @ 32.39/5.01 X756 @ 32.39/5.01 X758 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X762:$i, 32.39/5.01 X764:$i, 32.39/5.01 X766:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X766 @ 32.39/5.01 X762 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X766 @ 32.39/5.01 X764 ) ) => 32.39/5.01 ( 32.39/5.01 ~( 32.39/5.01 in @ 32.39/5.01 X766 @ 32.39/5.01 ( 32.39/5.01 symdiff @ 32.39/5.01 X762 @ 32.39/5.01 X764 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X768:$i, 32.39/5.01 X770:$i]: 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X770 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X768 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X770 @ 32.39/5.01 emptyset ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X772:$i, 32.39/5.01 X774:$i]: 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X772 @ 32.39/5.01 ( 32.39/5.01 setunion @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X772 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X772 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X774 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X776:$i, 32.39/5.01 X778:$i]: 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X778 @ 32.39/5.01 ( 32.39/5.01 setunion @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X776 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X776 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X778 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X780:$i, 32.39/5.01 X782:$i]: 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X784:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X784 @ 32.39/5.01 ( 32.39/5.01 setunion @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X780 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X780 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X782 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) ) ) & 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X786:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X786 @ 32.39/5.01 ( 32.39/5.01 setunion @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X780 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X780 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X782 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) ) ) & 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X780 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X780 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X782 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) = 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X784 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X784 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X786 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X788:$i, 32.39/5.01 X790:$i]: 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X792:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X792 @ 32.39/5.01 ( 32.39/5.01 setunion @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X788 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X788 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X790 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) ) ) & 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X794:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X794 @ 32.39/5.01 ( 32.39/5.01 setunion @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X788 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X788 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X790 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) ) ) & 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X788 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X788 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X790 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) = 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X792 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X792 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X794 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X796:$i, 32.39/5.01 X798:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X798 @ 32.39/5.01 X796 ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X798 @ 32.39/5.01 emptyset ) @ 32.39/5.01 X796 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X800:$i, 32.39/5.01 X802:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X802 @ 32.39/5.01 X800 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X802 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 X800 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X804:$i, 32.39/5.01 X806:$i, 32.39/5.01 X808:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X808 @ 32.39/5.01 X804 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X808 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X804 @ 32.39/5.01 X806 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X810:$i, 32.39/5.01 X812:$i, 32.39/5.01 X814:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X814 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X810 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X812 @ 32.39/5.01 emptyset ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X814 ) = 32.39/5.01 ( 32.39/5.01 X812 ) ) | 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X814 ) = 32.39/5.01 ( 32.39/5.01 X810 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X816:$i, 32.39/5.01 X818:$i, 32.39/5.01 X820:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X820 @ 32.39/5.01 X816 ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X822:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X822 @ 32.39/5.01 X818 ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X820 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X822 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X816 @ 32.39/5.01 X818 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X824:$i, 32.39/5.01 X826:$i, 32.39/5.01 X828:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X828 @ 32.39/5.01 X824 ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X830:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X830 @ 32.39/5.01 X826 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X828 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X830 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X824 @ 32.39/5.01 X826 ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X832:$i, 32.39/5.01 X834:$i, 32.39/5.01 X836:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X836 @ 32.39/5.01 X832 ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X838:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X838 @ 32.39/5.01 X834 ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X836 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X836 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X838 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X832 @ 32.39/5.01 X834 ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X840:$i, 32.39/5.01 X842:$i, 32.39/5.01 X844:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X844 @ 32.39/5.01 X840 ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X846:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X846 @ 32.39/5.01 X842 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X844 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X844 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X846 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X840 @ 32.39/5.01 X842 ) ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X848:$i, 32.39/5.01 X850:$i, 32.39/5.01 X852:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X852 @ 32.39/5.01 X848 ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X854:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X854 @ 32.39/5.01 X850 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X852 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X852 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X854 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X848 @ 32.39/5.01 X850 ) ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X856:$i, 32.39/5.01 X858:$i, 32.39/5.01 X860:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X860 @ 32.39/5.01 X856 ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X862:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X862 @ 32.39/5.01 X858 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X860 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X860 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X862 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 ( 32.39/5.01 dsetconstr 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X856 @ 32.39/5.01 X858 ) ) ) @ 32.39/5.01 ( 32.39/5.01 ^[ 32.39/5.01 V_15:$i]: 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X864:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X864 @ 32.39/5.01 X856 ) & 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X866:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X866 @ 32.39/5.01 X858 ) & 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 V_15 ) = 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X864 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X864 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X866 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X868:$i, 32.39/5.01 X870:$i, 32.39/5.01 X872:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X872 @ 32.39/5.01 ( 32.39/5.01 dsetconstr 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 ( 32.39/5.01 powerset @ 32.39/5.01 ( 32.39/5.01 binunion @ 32.39/5.01 X868 @ 32.39/5.01 X870 ) ) ) @ 32.39/5.01 ( 32.39/5.01 ^[ 32.39/5.01 V_16:$i]: 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X874:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X874 @ 32.39/5.01 X868 ) & 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X876:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X876 @ 32.39/5.01 X870 ) & 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 V_16 ) = 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X874 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X874 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X876 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) ) ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X878:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X878 @ 32.39/5.01 X868 ) & 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X880:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X880 @ 32.39/5.01 X870 ) & 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X872 ) = 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X878 @ 32.39/5.01 emptyset ) @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X878 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X880 @ 32.39/5.01 emptyset ) ) @ 32.39/5.01 emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 32.39/5.01 thf(zf_stmt_1, negated_conjecture, 32.39/5.01 (~( ( ![X4:$i,X6:$i]: 32.39/5.01 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 32.39/5.01 ( ( X4 ) = ( X6 ) ) ) ) => 32.39/5.01 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 32.39/5.01 ( ( ![X12:$i,X14:$i,X16:$i]: 32.39/5.01 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 32.39/5.01 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 32.39/5.01 ( ( ![X18:$i,X20:$i]: 32.39/5.01 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 32.39/5.01 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 32.39/5.01 ( ( ![X24:$i,X26:$i]: 32.39/5.01 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 32.39/5.01 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 32.39/5.01 ( ( in @ emptyset @ omega ) => 32.39/5.01 ( ( ![X30:$i]: 32.39/5.01 ( ( in @ X30 @ omega ) => 32.39/5.01 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 32.39/5.01 ( ( ![X32:$i]: 32.39/5.01 ( ( ( ![X34:$i]: 32.39/5.01 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 32.39/5.01 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 32.39/5.01 ( in @ emptyset @ X32 ) ) => 32.39/5.01 ( ![X36:$i]: 32.39/5.01 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 32.39/5.01 ( ( ![X38:( $i > $i > $o ),X40:$i]: 32.39/5.01 ( ( ![X42:$i]: 32.39/5.01 ( ( in @ X42 @ X40 ) => 32.39/5.01 ( ?[X44:$i]: 32.39/5.01 ( ( X38 @ X42 @ X44 ) & 32.39/5.01 ( ![X46:$i]: 32.39/5.01 ( ( X38 @ X42 @ X46 ) => 32.39/5.01 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 32.39/5.01 ( ?[X48:$i]: 32.39/5.01 ( ![X50:$i]: 32.39/5.01 ( ( in @ X50 @ X48 ) <=> 32.39/5.01 ( ?[X52:$i]: 32.39/5.01 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 32.39/5.01 ( ( ![X54:$i]: 32.39/5.01 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 32.39/5.01 ( ?[X58:$i]: 32.39/5.01 ( ( in @ X58 @ X54 ) & 32.39/5.01 ( ~( ?[X60:$i]: 32.39/5.01 ( ( in @ X60 @ X58 ) & 32.39/5.01 ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 32.39/5.01 ( ( ![X62:$i]: 32.39/5.01 ( ?[X64:$i]: 32.39/5.01 ( ( ![X96:$i]: 32.39/5.01 ( ( in @ X96 @ X64 ) => 32.39/5.01 ( ![X98:$i]: 32.39/5.01 ( ( in @ X98 @ X96 ) => 32.39/5.01 ( in @ X98 @ X62 ) ) ) ) ) & 32.39/5.01 ( ![X90:$i,X92:$i]: 32.39/5.01 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 32.39/5.01 ( ( ![X94:$i]: 32.39/5.01 ( ( in @ X94 @ X64 ) => 32.39/5.01 ( ( in @ X90 @ X94 ) <=> 32.39/5.01 ( in @ X92 @ X94 ) ) ) ) => 32.39/5.01 ( ( X90 ) = ( X92 ) ) ) ) ) & 32.39/5.01 ( ![X82:$i,X84:$i]: 32.39/5.01 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 32.39/5.01 ( ( ![X88:$i]: 32.39/5.01 ( ( in @ X88 @ X84 ) => 32.39/5.01 ( in @ X88 @ X82 ) ) ) | 32.39/5.01 ( ![X86:$i]: 32.39/5.01 ( ( in @ X86 @ X82 ) => 32.39/5.01 ( in @ X86 @ X84 ) ) ) ) ) ) & 32.39/5.01 ( ![X66:$i]: 32.39/5.01 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 32.39/5.01 ( ![X68:$i]: 32.39/5.01 ( ( in @ X68 @ X66 ) => 32.39/5.01 ( in @ X68 @ X62 ) ) ) ) => 32.39/5.01 ( ?[X72:$i,X74:$i]: 32.39/5.01 ( ( in @ X72 @ X64 ) & 32.39/5.01 ( in @ X74 @ X66 ) & 32.39/5.01 ( ~( ?[X80:$i]: 32.39/5.01 ( ( in @ X80 @ X72 ) & 32.39/5.01 ( in @ X80 @ X66 ) ) ) ) & 32.39/5.01 ( ![X76:$i]: 32.39/5.01 ( ( in @ X76 @ X64 ) => 32.39/5.01 ( ( in @ X74 @ X76 ) | 32.39/5.01 ( ![X78:$i]: 32.39/5.01 ( ( in @ X78 @ X76 ) => 32.39/5.01 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 32.39/5.01 ( ( ![X100:( $i > $o )]: 32.39/5.01 ( ( ?[X102:$i]: 32.39/5.01 ( ( X100 @ X102 ) & 32.39/5.01 ( ![X104:$i]: 32.39/5.01 ( ( X100 @ X104 ) => 32.39/5.01 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 32.39/5.01 ( X100 @ 32.39/5.01 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 32.39/5.01 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 32.39/5.01 ( ( in @ X110 @ X106 ) => 32.39/5.01 ( ( X108 @ X110 ) => 32.39/5.01 ( in @ 32.39/5.01 X110 @ 32.39/5.01 ( dsetconstr @ 32.39/5.01 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 32.39/5.01 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 32.39/5.01 ( ( in @ 32.39/5.01 X116 @ 32.39/5.01 ( dsetconstr @ 32.39/5.01 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 32.39/5.01 ( in @ X116 @ X112 ) ) ) => 32.39/5.01 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 32.39/5.01 ( ( in @ 32.39/5.01 X122 @ 32.39/5.01 ( dsetconstr @ 32.39/5.01 X118 @ 32.39/5.01 ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 32.39/5.01 ( X120 @ X122 ) ) ) => 32.39/5.01 ( ( ![X124:( $i > $o )]: 32.39/5.01 ( ( ?[X126:$i]: 32.39/5.01 ( ( X124 @ X126 ) & 32.39/5.01 ( ![X128:$i]: 32.39/5.01 ( ( X124 @ X128 ) => 32.39/5.01 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 32.39/5.01 ( ?[X130:$i]: 32.39/5.01 ( ( X124 @ X130 ) & 32.39/5.01 ( ![X132:$i]: 32.39/5.01 ( ( X124 @ X132 ) => 32.39/5.01 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 32.39/5.01 ( ( ![X134:$o,X136:$i]: 32.39/5.01 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 32.39/5.01 ( X134 ) ) ) => 32.39/5.01 ( ( ![X138:$i]: 32.39/5.01 ( ( in @ X138 @ emptyset ) => 32.39/5.01 ( ![X140:$o]: ( X140 ) ) ) ) => 32.39/5.01 ( ( ![X142:$i]: 32.39/5.01 ( ~( in @ X142 @ emptyset ) ) ) => 32.39/5.01 ( ( ![X144:$i]: 32.39/5.01 ( ~( in @ X144 @ emptyset ) ) ) => 32.39/5.01 ( ( ![X146:( $i > $o )]: 32.39/5.01 ( ( ?[X148:$i]: 32.39/5.01 ( ( X146 @ X148 ) & 32.39/5.01 ( ![X150:$i]: 32.39/5.01 ( ( X146 @ X150 ) => 32.39/5.01 ( ( X148 ) = 32.39/5.01 ( X150 ) ) ) ) ) ) => 32.39/5.01 ( ?[X152:$i]: 32.39/5.01 ( X146 @ X152 ) ) ) ) => 32.39/5.01 ( ( ![X154:$i,X156:$i]: 32.39/5.01 ( ( ![X158:$i]: 32.39/5.01 ( ( in @ X158 @ X154 ) => 32.39/5.01 ( in @ X158 @ X156 ) ) ) => 32.39/5.01 ( ( ![X160:$i]: 32.39/5.01 ( ( in @ X160 @ X156 ) => 32.39/5.01 ( in @ X160 @ X154 ) ) ) => 32.39/5.01 ( ( X154 ) = ( X156 ) ) ) ) ) => 32.39/5.01 ( ( ![X162:$i]: 32.39/5.01 ( ( ![X164:$i]: 32.39/5.01 ( ~( in @ X164 @ X162 ) ) ) => 32.39/5.01 ( ( X162 ) = 32.39/5.01 ( emptyset ) ) ) ) => 32.39/5.01 ( ( ![X166:$i]: 32.39/5.01 ( ( ![X168:$i]: 32.39/5.01 ( ~( in @ 32.39/5.01 X168 @ X166 ) ) ) => 32.39/5.01 ( ( X166 ) = 32.39/5.01 ( emptyset ) ) ) ) => 32.39/5.01 ( ( ![X170:$i, 32.39/5.01 X172:( $i > $o ), 32.39/5.01 X174:$i]: 32.39/5.01 ( ( in @ X174 @ X170 ) => 32.39/5.01 ( ( in @ 32.39/5.01 X174 @ 32.39/5.01 ( dsetconstr @ 32.39/5.01 X170 @ 32.39/5.01 ( ^[V_5:$i]: 32.39/5.01 ( X172 @ 32.39/5.01 V_5 ) ) ) ) <=> 32.39/5.01 ( X172 @ X174 ) ) ) ) => 32.39/5.01 ( ( ![X176:$i]: 32.39/5.01 ( ( ( X176 ) != 32.39/5.01 ( emptyset ) ) => 32.39/5.01 ( ?[X178:$i]: 32.39/5.01 ( in @ 32.39/5.01 X178 @ X176 ) ) ) ) => 32.39/5.01 ( ( ![X180:$i, 32.39/5.01 X182:( 32.39/5.01 $i > $o ), 32.39/5.01 X184:$i]: 32.39/5.01 ( ( in @ 32.39/5.01 X184 @ X180 ) => 32.39/5.01 ( ( X182 @ X184 ) => 32.39/5.01 ( ( dsetconstr 32.39/5.01 @ 32.39/5.01 X180 @ 32.39/5.01 ( 32.39/5.01 ^[ 32.39/5.01 V_6:$i]: 32.39/5.01 ( 32.39/5.01 X182 @ 32.39/5.01 V_6 ) ) ) != 32.39/5.01 ( emptyset ) ) ) ) ) => 32.39/5.01 ( ( ![X186:$i]: 32.39/5.01 ( ( ?[X188:$i]: 32.39/5.01 ( in @ 32.39/5.01 X188 @ 32.39/5.01 X186 ) ) => 32.39/5.01 ( ( X186 ) != 32.39/5.01 ( emptyset ) ) ) ) => 32.39/5.01 ( ( ![X190:$i, 32.39/5.01 X192:$i]: 32.39/5.01 ( in @ 32.39/5.01 X190 @ 32.39/5.01 ( setadjoin 32.39/5.01 @ 32.39/5.01 X190 @ 32.39/5.01 X192 ) ) ) => 32.39/5.01 ( ( in @ 32.39/5.01 emptyset @ 32.39/5.01 ( setadjoin 32.39/5.01 @ 32.39/5.01 emptyset @ 32.39/5.01 emptyset ) ) => 32.39/5.01 ( ( ![ 32.39/5.01 X194:$i, 32.39/5.01 X196:$i, 32.39/5.01 X198:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X198 @ 32.39/5.01 X196 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X198 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X194 @ 32.39/5.01 X196 ) ) ) ) => 32.39/5.01 ( ( 32.39/5.01 ![ 32.39/5.01 X200:$i, 32.39/5.01 X202:$i, 32.39/5.01 X204:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X204 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X200 @ 32.39/5.01 X202 ) ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X206:$o]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X204 ) = 32.39/5.01 ( 32.39/5.01 X200 ) ) => 32.39/5.01 ( 32.39/5.01 X206 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X204 @ 32.39/5.01 X202 ) => 32.39/5.01 ( 32.39/5.01 X206 ) ) => 32.39/5.01 ( 32.39/5.01 X206 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X208:$i, 32.39/5.01 X210:$i, 32.39/5.01 X212:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X212 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X208 @ 32.39/5.01 X210 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X212 @ 32.39/5.01 X210 ) | 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X212 ) = 32.39/5.01 ( 32.39/5.01 X208 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X214:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 dsetconstr 32.39/5.01 @ 32.39/5.01 X214 @ 32.39/5.01 ( 32.39/5.01 ^[ 32.39/5.01 V_7:$i]: 32.39/5.01 ( 32.39/5.01 $true ) ) ) = 32.39/5.01 ( 32.39/5.01 X214 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X216:$i, 32.39/5.01 X218:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X220:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X220 @ 32.39/5.01 X218 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X220 @ 32.39/5.01 X216 ) ) ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X218 @ 32.39/5.01 ( 32.39/5.01 powerset 32.39/5.01 @ 32.39/5.01 X216 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X222:$i]: 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 emptyset @ 32.39/5.01 ( 32.39/5.01 powerset 32.39/5.01 @ 32.39/5.01 X222 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X224:$i]: 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 emptyset @ 32.39/5.01 ( 32.39/5.01 powerset 32.39/5.01 @ 32.39/5.01 X224 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X226:$i, 32.39/5.01 X228:$i, 32.39/5.01 X230:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X228 @ 32.39/5.01 ( 32.39/5.01 powerset 32.39/5.01 @ 32.39/5.01 X226 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X230 @ 32.39/5.01 X228 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X230 @ 32.39/5.01 X226 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X232:$i, 32.39/5.01 X234:$i, 32.39/5.01 X236:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X234 @ 32.39/5.01 X236 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X236 @ 32.39/5.01 X232 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X234 @ 32.39/5.01 ( 32.39/5.01 setunion 32.39/5.01 @ 32.39/5.01 X232 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X238:$i, 32.39/5.01 X240:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X240 @ 32.39/5.01 ( 32.39/5.01 setunion 32.39/5.01 @ 32.39/5.01 X238 ) ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X242:$o]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X244:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X240 @ 32.39/5.01 X244 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X244 @ 32.39/5.01 X238 ) => 32.39/5.01 ( 32.39/5.01 X242 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 X242 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X246:$i, 32.39/5.01 X248:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X248 @ 32.39/5.01 X246 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X248 @ 32.39/5.01 ( 32.39/5.01 powerset 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 setunion 32.39/5.01 @ 32.39/5.01 X246 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X250:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X252:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X250 @ 32.39/5.01 X252 ) & 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X254:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X250 @ 32.39/5.01 X254 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X252 ) = 32.39/5.01 ( 32.39/5.01 X254 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X256:$i]: 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X258:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X250 @ 32.39/5.01 X258 ) <=> 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X258 ) = 32.39/5.01 ( 32.39/5.01 X256 ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X260:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X260 ) != 32.39/5.01 ( 32.39/5.01 emptyset ) ) => 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X262:$i]: 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X262 @ 32.39/5.01 X260 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X264:$i, 32.39/5.01 X266:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X264 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X266 @ 32.39/5.01 emptyset ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X264 ) = 32.39/5.01 ( 32.39/5.01 X266 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X268:$i, 32.39/5.01 X270:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X268 ) != 32.39/5.01 ( 32.39/5.01 X270 ) ) => 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X270 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X268 @ 32.39/5.01 emptyset ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X272:$i, 32.39/5.01 X274:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X272 ) = 32.39/5.01 ( 32.39/5.01 X274 ) ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X272 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X274 @ 32.39/5.01 emptyset ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X276:$i, 32.39/5.01 X278:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X276 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X278 @ 32.39/5.01 emptyset ) ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X278 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X276 @ 32.39/5.01 emptyset ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X280:$i, 32.39/5.01 X282:$i, 32.39/5.01 X284:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X284 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X280 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X282 @ 32.39/5.01 emptyset ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X284 ) = 32.39/5.01 ( 32.39/5.01 X282 ) ) | 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X284 ) = 32.39/5.01 ( 32.39/5.01 X280 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X286:$i, 32.39/5.01 X288:$i]: 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X286 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X286 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X288 @ 32.39/5.01 emptyset ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X290:$i, 32.39/5.01 X292:$i]: 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X292 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X290 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X292 @ 32.39/5.01 emptyset ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X294:$i, 32.39/5.01 X296:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X298:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X298 @ 32.39/5.01 X294 ) & 32.39/5.01 ( 32.39/5.01 X296 @ 32.39/5.01 X298 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 dsetconstr 32.39/5.01 @ 32.39/5.01 X294 @ 32.39/5.01 ( 32.39/5.01 ^[ 32.39/5.01 V_8:$i]: 32.39/5.01 ( 32.39/5.01 X296 @ 32.39/5.01 V_8 ) ) ) != 32.39/5.01 ( 32.39/5.01 emptyset ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X300:( 32.39/5.01 $i > $o ), 32.39/5.01 X302:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X302 @ 32.39/5.01 emptyset ) => 32.39/5.01 ( 32.39/5.01 X300 @ 32.39/5.01 X302 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X304:$i, 32.39/5.01 X306:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X308:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X308 @ 32.39/5.01 X304 ) => 32.39/5.01 ( 32.39/5.01 X306 @ 32.39/5.01 X308 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X310:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X310 @ 32.39/5.01 X304 ) & 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 X306 @ 32.39/5.01 X310 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X312:$i, 32.39/5.01 X314:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X316:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X316 @ 32.39/5.01 X312 ) => 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 X314 @ 32.39/5.01 X316 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X318:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X318 @ 32.39/5.01 X312 ) & 32.39/5.01 ( 32.39/5.01 X314 @ 32.39/5.01 X318 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X320:$i, 32.39/5.01 X322:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X324:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X324 @ 32.39/5.01 X320 ) & 32.39/5.01 ( 32.39/5.01 X322 @ 32.39/5.01 X324 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X326:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X326 @ 32.39/5.01 X320 ) => 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 X322 @ 32.39/5.01 X326 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X328:$i, 32.39/5.01 X330:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X332:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X332 @ 32.39/5.01 X328 ) & 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 X330 @ 32.39/5.01 X332 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X334:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X334 @ 32.39/5.01 X328 ) => 32.39/5.01 ( 32.39/5.01 X330 @ 32.39/5.01 X334 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X336:$o]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X336 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 emptyset @ 32.39/5.01 ( 32.39/5.01 prop2set 32.39/5.01 @ 32.39/5.01 X336 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X338:$o]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X338 ) => 32.39/5.01 ( 32.39/5.01 set2prop 32.39/5.01 @ 32.39/5.01 ( 32.39/5.01 prop2set 32.39/5.01 @ 32.39/5.01 X338 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X340:$i, 32.39/5.01 X342:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X344:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X344 @ 32.39/5.01 X340 ) & 32.39/5.01 ( 32.39/5.01 X342 @ 32.39/5.01 X344 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X346:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X346 @ 32.39/5.01 X340 ) => 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 X342 @ 32.39/5.01 X346 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X348:$i, 32.39/5.01 X350:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X352:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X352 @ 32.39/5.01 X348 ) => 32.39/5.01 ( 32.39/5.01 X350 @ 32.39/5.01 X352 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X354:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X354 @ 32.39/5.01 X348 ) & 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 X350 @ 32.39/5.01 X354 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X356:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X358:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X356 @ 32.39/5.01 X358 ) & 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X360:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X356 @ 32.39/5.01 X360 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X358 ) = 32.39/5.01 ( 32.39/5.01 X360 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X362:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X356 @ 32.39/5.01 X362 ) & 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X364:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X356 @ 32.39/5.01 X364 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X362 ) = 32.39/5.01 ( 32.39/5.01 X364 ) ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X366:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X368:$i]: 32.39/5.01 ( 32.39/5.01 X366 @ 32.39/5.01 X368 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X370:$i, 32.39/5.01 X372:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X366 @ 32.39/5.01 X370 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X366 @ 32.39/5.01 X372 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X370 ) = 32.39/5.01 ( 32.39/5.01 X372 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X374:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X366 @ 32.39/5.01 X374 ) & 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X376:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X366 @ 32.39/5.01 X376 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X374 ) = 32.39/5.01 ( 32.39/5.01 X376 ) ) ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X378:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X380:$i]: 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X382:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X378 @ 32.39/5.01 X382 ) <=> 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X382 ) = 32.39/5.01 ( 32.39/5.01 X380 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X384:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X378 @ 32.39/5.01 X384 ) & 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X386:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X378 @ 32.39/5.01 X386 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X384 ) = 32.39/5.01 ( 32.39/5.01 X386 ) ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X388:$i, 32.39/5.01 X390:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X388 ) = 32.39/5.01 ( 32.39/5.01 X390 ) ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X392:$i, 32.39/5.01 X394:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X392 ) = 32.39/5.01 ( 32.39/5.01 X394 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X392 @ 32.39/5.01 X388 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X394 @ 32.39/5.01 X390 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X396:$i, 32.39/5.01 X398:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X396 ) = 32.39/5.01 ( 32.39/5.01 X398 ) ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X400:$i, 32.39/5.01 X402:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X400 ) = 32.39/5.01 ( 32.39/5.01 X402 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X400 @ 32.39/5.01 X396 ) <=> 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X402 @ 32.39/5.01 X398 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X404:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X406:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X404 @ 32.39/5.01 X406 ) & 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X408:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X404 @ 32.39/5.01 X408 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X406 ) = 32.39/5.01 ( 32.39/5.01 X408 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X410:$i, 32.39/5.01 X412:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X404 @ 32.39/5.01 X410 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X404 @ 32.39/5.01 X412 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X410 ) = 32.39/5.01 ( 32.39/5.01 X412 ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X414:( 32.39/5.01 $i > $o ), 32.39/5.01 X416:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X418:$i, 32.39/5.01 X420:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X418 ) = 32.39/5.01 ( 32.39/5.01 X420 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X414 @ 32.39/5.01 X418 ) <=> 32.39/5.01 ( 32.39/5.01 X416 @ 32.39/5.01 X420 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X422:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X414 @ 32.39/5.01 X422 ) & 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X424:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X414 @ 32.39/5.01 X424 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X422 ) = 32.39/5.01 ( 32.39/5.01 X424 ) ) ) ) ) ) <=> 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X426:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X416 @ 32.39/5.01 X426 ) & 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X428:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X416 @ 32.39/5.01 X428 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X426 ) = 32.39/5.01 ( 32.39/5.01 X428 ) ) ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 emptyset ) = 32.39/5.01 ( 32.39/5.01 emptyset ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X430:$i, 32.39/5.01 X432:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X430 ) = 32.39/5.01 ( 32.39/5.01 X432 ) ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X434:$i, 32.39/5.01 X436:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X434 ) = 32.39/5.01 ( 32.39/5.01 X436 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X430 @ 32.39/5.01 X434 ) = 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X432 @ 32.39/5.01 X436 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X438:$i, 32.39/5.01 X440:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X438 ) = 32.39/5.01 ( 32.39/5.01 X440 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 powerset 32.39/5.01 @ 32.39/5.01 X438 ) = 32.39/5.01 ( 32.39/5.01 powerset 32.39/5.01 @ 32.39/5.01 X440 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X442:$i, 32.39/5.01 X444:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X442 ) = 32.39/5.01 ( 32.39/5.01 X444 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 setunion 32.39/5.01 @ 32.39/5.01 X442 ) = 32.39/5.01 ( 32.39/5.01 setunion 32.39/5.01 @ 32.39/5.01 X444 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 omega ) = 32.39/5.01 ( 32.39/5.01 omega ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X446:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X448:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X446 @ 32.39/5.01 X448 ) & 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X450:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X446 @ 32.39/5.01 X450 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X448 ) = 32.39/5.01 ( 32.39/5.01 X450 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X452:$i, 32.39/5.01 X454:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X446 @ 32.39/5.01 X452 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X446 @ 32.39/5.01 X454 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X452 ) = 32.39/5.01 ( 32.39/5.01 X454 ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X456:( 32.39/5.01 $i > $o ), 32.39/5.01 X458:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X460:$i, 32.39/5.01 X462:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X460 ) = 32.39/5.01 ( 32.39/5.01 X462 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X456 @ 32.39/5.01 X460 ) <=> 32.39/5.01 ( 32.39/5.01 X458 @ 32.39/5.01 X462 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X464:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X456 @ 32.39/5.01 X464 ) & 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X466:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X456 @ 32.39/5.01 X466 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X464 ) = 32.39/5.01 ( 32.39/5.01 X466 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ?[ 32.39/5.01 X468:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X458 @ 32.39/5.01 X468 ) & 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X470:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X458 @ 32.39/5.01 X470 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X468 ) = 32.39/5.01 ( 32.39/5.01 X470 ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 descr @ 32.39/5.01 ( 32.39/5.01 ^[ 32.39/5.01 V_9:$i]: 32.39/5.01 ( 32.39/5.01 X456 @ 32.39/5.01 V_9 ) ) ) = 32.39/5.01 ( 32.39/5.01 descr @ 32.39/5.01 ( 32.39/5.01 ^[ 32.39/5.01 V_10:$i]: 32.39/5.01 ( 32.39/5.01 X458 @ 32.39/5.01 V_10 ) ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X472:$i, 32.39/5.01 X474:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X472 ) = 32.39/5.01 ( 32.39/5.01 X474 ) ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X476:( 32.39/5.01 $i > $o ), 32.39/5.01 X478:( 32.39/5.01 $i > $o )]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X480:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X480 @ 32.39/5.01 X472 ) => 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X482:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X482 @ 32.39/5.01 X474 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X480 ) = 32.39/5.01 ( 32.39/5.01 X482 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X476 @ 32.39/5.01 X480 ) <=> 32.39/5.01 ( 32.39/5.01 X478 @ 32.39/5.01 X482 ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 dsetconstr 32.39/5.01 @ 32.39/5.01 X472 @ 32.39/5.01 ( 32.39/5.01 ^[ 32.39/5.01 V_11:$i]: 32.39/5.01 ( 32.39/5.01 X476 @ 32.39/5.01 V_11 ) ) ) = 32.39/5.01 ( 32.39/5.01 dsetconstr 32.39/5.01 @ 32.39/5.01 X474 @ 32.39/5.01 ( 32.39/5.01 ^[ 32.39/5.01 V_12:$i]: 32.39/5.01 ( 32.39/5.01 X478 @ 32.39/5.01 V_12 ) ) ) ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X484:$i, 32.39/5.01 X486:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X488:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X488 @ 32.39/5.01 X484 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X488 @ 32.39/5.01 X486 ) ) ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X484 @ 32.39/5.01 X486 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X490:$i, 32.39/5.01 X492:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X490 ) = 32.39/5.01 ( 32.39/5.01 X492 ) ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X492 @ 32.39/5.01 X490 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X494:$i, 32.39/5.01 X496:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X494 ) = 32.39/5.01 ( 32.39/5.01 X496 ) ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X494 @ 32.39/5.01 X496 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X498:$i, 32.39/5.01 X500:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X502:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X502 @ 32.39/5.01 X498 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X502 @ 32.39/5.01 X500 ) ) ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X498 @ 32.39/5.01 X500 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X504:$i]: 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 emptyset @ 32.39/5.01 X504 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X506:$i, 32.39/5.01 X508:$i, 32.39/5.01 X510:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X506 @ 32.39/5.01 X508 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X510 @ 32.39/5.01 X506 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X510 @ 32.39/5.01 X508 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X512:$i, 32.39/5.01 X514:$i, 32.39/5.01 X516:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X512 @ 32.39/5.01 X514 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X516 @ 32.39/5.01 X514 ) ) => 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X516 @ 32.39/5.01 X512 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X518:$i, 32.39/5.01 X520:$i, 32.39/5.01 X522:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X522 @ 32.39/5.01 X518 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X522 @ 32.39/5.01 X520 ) ) => 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X518 @ 32.39/5.01 X520 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X524:$i, 32.39/5.01 X526:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X524 @ 32.39/5.01 X526 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X524 ) != 32.39/5.01 ( 32.39/5.01 X526 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X528:$i, 32.39/5.01 X530:$i, 32.39/5.01 X532:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X532 @ 32.39/5.01 X528 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ~ 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X532 @ 32.39/5.01 X530 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X528 ) != 32.39/5.01 ( 32.39/5.01 X530 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X534:$i]: 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X534 @ 32.39/5.01 X534 ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X536:$i, 32.39/5.01 X538:$i, 32.39/5.01 X540:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X536 @ 32.39/5.01 X538 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X538 @ 32.39/5.01 X540 ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X536 @ 32.39/5.01 X540 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X542:$i, 32.39/5.01 X544:$i]: 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X544 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X542 @ 32.39/5.01 X544 ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X546:$i, 32.39/5.01 X548:$i, 32.39/5.01 X550:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X546 @ 32.39/5.01 X550 ) => 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X546 @ 32.39/5.01 ( 32.39/5.01 setadjoin 32.39/5.01 @ 32.39/5.01 X548 @ 32.39/5.01 X550 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X552:$i, 32.39/5.01 X554:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X552 @ 32.39/5.01 X554 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X552 @ 32.39/5.01 ( 32.39/5.01 powerset 32.39/5.01 @ 32.39/5.01 X554 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X556:$i, 32.39/5.01 X558:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X556 @ 32.39/5.01 X558 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X558 @ 32.39/5.01 X556 ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X556 ) = 32.39/5.01 ( 32.39/5.01 X558 ) ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X560:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X560 @ 32.39/5.01 emptyset ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 X560 ) = 32.39/5.01 ( 32.39/5.01 emptyset ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X562:$i, 32.39/5.01 X564:$i]: 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 subset @ 32.39/5.01 X564 @ 32.39/5.01 X562 ) => 32.39/5.01 ( 32.39/5.01 in @ 32.39/5.01 X564 @ 32.39/5.01 ( 32.39/5.01 powerset 32.39/5.01 @ 32.39/5.01 X562 ) ) ) ) => 32.39/5.01 ( 32.39/5.01 ( 32.39/5.01 ![ 32.39/5.01 X566:$i, 32.39/5.01 X568:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X568 @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 X566 ) ) => 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 X568 @ 32.39/5.02 X566 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X570:$i]: 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X570 @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 X570 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X572:$i, 32.39/5.02 X574:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 X572 @ 32.39/5.02 X574 ) => 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 X572 ) @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 X574 ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X576:$i, 32.39/5.02 X578:( 32.39/5.02 $i > $o )]: 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 ( 32.39/5.02 dsetconstr 32.39/5.02 @ 32.39/5.02 X576 @ 32.39/5.02 ( 32.39/5.02 ^[ 32.39/5.02 V_13:$i]: 32.39/5.02 ( 32.39/5.02 X578 @ 32.39/5.02 V_13 ) ) ) @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 X576 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X580:$i, 32.39/5.02 X582:( 32.39/5.02 $i > $o )]: 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 ( 32.39/5.02 dsetconstr 32.39/5.02 @ 32.39/5.02 X580 @ 32.39/5.02 ( 32.39/5.02 ^[ 32.39/5.02 V_14:$i]: 32.39/5.02 ( 32.39/5.02 X582 @ 32.39/5.02 V_14 ) ) ) @ 32.39/5.02 X580 ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X584:$i, 32.39/5.02 X586:$i, 32.39/5.02 X588:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X588 @ 32.39/5.02 X584 ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X588 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X584 @ 32.39/5.02 X586 ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X590:$i, 32.39/5.02 X592:$i]: 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X592 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X590 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X592 @ 32.39/5.02 emptyset ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X594:$i, 32.39/5.02 X596:$i, 32.39/5.02 X598:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X598 @ 32.39/5.02 X596 ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X598 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X594 @ 32.39/5.02 X596 ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X600:$i, 32.39/5.02 X602:$i, 32.39/5.02 X604:$i, 32.39/5.02 X606:$o]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X604 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X600 @ 32.39/5.02 X602 ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X604 @ 32.39/5.02 X600 ) => 32.39/5.02 ( 32.39/5.02 X606 ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X604 @ 32.39/5.02 X602 ) => 32.39/5.02 ( 32.39/5.02 X606 ) ) => 32.39/5.02 ( 32.39/5.02 X606 ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X608:$i, 32.39/5.02 X610:$i, 32.39/5.02 X612:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X612 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X608 @ 32.39/5.02 X610 ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X612 @ 32.39/5.02 X610 ) | 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X612 @ 32.39/5.02 X608 ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X614:$i, 32.39/5.02 X616:$i]: 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 X614 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X614 @ 32.39/5.02 X616 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X618:$i, 32.39/5.02 X620:$i]: 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 X620 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X618 @ 32.39/5.02 X620 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X622:$i, 32.39/5.02 X624:$i, 32.39/5.02 X626:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X626 @ 32.39/5.02 X622 ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X626 @ 32.39/5.02 X624 ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X626 @ 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X622 @ 32.39/5.02 X624 ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X628:$i, 32.39/5.02 X630:$i, 32.39/5.02 X632:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 X632 @ 32.39/5.02 X628 ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 X632 @ 32.39/5.02 X630 ) => 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 X632 @ 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X628 @ 32.39/5.02 X630 ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X634:$i, 32.39/5.02 X636:$i, 32.39/5.02 X638:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X638 @ 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X634 @ 32.39/5.02 X636 ) ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X638 @ 32.39/5.02 X634 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X640:$i, 32.39/5.02 X642:$i]: 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X640 @ 32.39/5.02 X642 ) @ 32.39/5.02 X640 ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X644:$i, 32.39/5.02 X646:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 X644 @ 32.39/5.02 X646 ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X644 @ 32.39/5.02 X646 ) = 32.39/5.02 ( 32.39/5.02 X644 ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X648:$i, 32.39/5.02 X650:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X648 @ 32.39/5.02 X650 ) = 32.39/5.02 ( 32.39/5.02 X650 ) ) => 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 X650 @ 32.39/5.02 X648 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X652:$i, 32.39/5.02 X654:$i, 32.39/5.02 X656:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X656 @ 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X652 @ 32.39/5.02 X654 ) ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X656 @ 32.39/5.02 X654 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X658:$i, 32.39/5.02 X660:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 ?[ 32.39/5.02 X662:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X662 @ 32.39/5.02 X658 ) & 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X662 @ 32.39/5.02 X660 ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X658 @ 32.39/5.02 X660 ) = 32.39/5.02 ( 32.39/5.02 emptyset ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X664:$i, 32.39/5.02 X666:$i]: 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X664 @ 32.39/5.02 X666 ) @ 32.39/5.02 X666 ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X668:$i, 32.39/5.02 X670:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 X670 @ 32.39/5.02 X668 ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X668 @ 32.39/5.02 X670 ) = 32.39/5.02 ( 32.39/5.02 X670 ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X672:$i, 32.39/5.02 X674:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X672 @ 32.39/5.02 X674 ) = 32.39/5.02 ( 32.39/5.02 X672 ) ) => 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 X672 @ 32.39/5.02 X674 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X676:$i, 32.39/5.02 X678:$i, 32.39/5.02 X680:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X676 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X678 @ 32.39/5.02 X680 ) ) = 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X676 @ 32.39/5.02 X678 ) @ 32.39/5.02 ( 32.39/5.02 binintersect 32.39/5.02 @ 32.39/5.02 X676 @ 32.39/5.02 X680 ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X682:$i, 32.39/5.02 X684:$i, 32.39/5.02 X686:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X686 @ 32.39/5.02 X682 ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X686 @ 32.39/5.02 X684 ) ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X686 @ 32.39/5.02 ( 32.39/5.02 setminus 32.39/5.02 @ 32.39/5.02 X682 @ 32.39/5.02 X684 ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X688:$i, 32.39/5.02 X690:$i, 32.39/5.02 X692:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X692 @ 32.39/5.02 ( 32.39/5.02 setminus 32.39/5.02 @ 32.39/5.02 X688 @ 32.39/5.02 X690 ) ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X692 @ 32.39/5.02 X688 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X694:$i, 32.39/5.02 X696:$i, 32.39/5.02 X698:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X698 @ 32.39/5.02 ( 32.39/5.02 setminus 32.39/5.02 @ 32.39/5.02 X694 @ 32.39/5.02 X696 ) ) => 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X698 @ 32.39/5.02 X696 ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X700:$i, 32.39/5.02 X702:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 X700 @ 32.39/5.02 X702 ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 setminus 32.39/5.02 @ 32.39/5.02 X700 @ 32.39/5.02 X702 ) = 32.39/5.02 ( 32.39/5.02 emptyset ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X704:$i, 32.39/5.02 X706:$i, 32.39/5.02 X708:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X708 @ 32.39/5.02 ( 32.39/5.02 setminus 32.39/5.02 @ 32.39/5.02 X704 @ 32.39/5.02 X706 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X708 @ 32.39/5.02 X704 ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X708 @ 32.39/5.02 X706 ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X710:$i, 32.39/5.02 X712:$i, 32.39/5.02 X714:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X714 @ 32.39/5.02 ( 32.39/5.02 setminus 32.39/5.02 @ 32.39/5.02 X710 @ 32.39/5.02 X712 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X714 @ 32.39/5.02 X712 ) ) => 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X714 @ 32.39/5.02 X710 ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X716:$i, 32.39/5.02 X718:$i, 32.39/5.02 X720:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X720 @ 32.39/5.02 X716 ) ) => 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X720 @ 32.39/5.02 ( 32.39/5.02 setminus 32.39/5.02 @ 32.39/5.02 X716 @ 32.39/5.02 X718 ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X722:$i, 32.39/5.02 X724:$i, 32.39/5.02 X726:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X726 @ 32.39/5.02 X724 ) => 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X726 @ 32.39/5.02 ( 32.39/5.02 setminus 32.39/5.02 @ 32.39/5.02 X722 @ 32.39/5.02 X724 ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X728:$i, 32.39/5.02 X730:$i]: 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 ( 32.39/5.02 setminus 32.39/5.02 @ 32.39/5.02 X728 @ 32.39/5.02 X730 ) @ 32.39/5.02 X728 ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X732:$i, 32.39/5.02 X734:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 setminus 32.39/5.02 @ 32.39/5.02 X732 @ 32.39/5.02 X734 ) = 32.39/5.02 ( 32.39/5.02 emptyset ) ) => 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 X732 @ 32.39/5.02 X734 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X736:$i, 32.39/5.02 X738:$i, 32.39/5.02 X740:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X740 @ 32.39/5.02 ( 32.39/5.02 symdiff @ 32.39/5.02 X736 @ 32.39/5.02 X738 ) ) => 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X742:$o]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X740 @ 32.39/5.02 X736 ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X740 @ 32.39/5.02 X738 ) ) => 32.39/5.02 ( 32.39/5.02 X742 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X740 @ 32.39/5.02 X736 ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X740 @ 32.39/5.02 X738 ) => 32.39/5.02 ( 32.39/5.02 X742 ) ) ) => 32.39/5.02 ( 32.39/5.02 X742 ) ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X744:$i, 32.39/5.02 X746:$i, 32.39/5.02 X748:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X748 @ 32.39/5.02 X744 ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X748 @ 32.39/5.02 X746 ) ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X748 @ 32.39/5.02 ( 32.39/5.02 symdiff @ 32.39/5.02 X744 @ 32.39/5.02 X746 ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X750:$i, 32.39/5.02 X752:$i, 32.39/5.02 X754:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X754 @ 32.39/5.02 X750 ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X754 @ 32.39/5.02 X752 ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X754 @ 32.39/5.02 ( 32.39/5.02 symdiff @ 32.39/5.02 X750 @ 32.39/5.02 X752 ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X756:$i, 32.39/5.02 X758:$i, 32.39/5.02 X760:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X760 @ 32.39/5.02 X756 ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X760 @ 32.39/5.02 X758 ) => 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X760 @ 32.39/5.02 ( 32.39/5.02 symdiff @ 32.39/5.02 X756 @ 32.39/5.02 X758 ) ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X762:$i, 32.39/5.02 X764:$i, 32.39/5.02 X766:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X766 @ 32.39/5.02 X762 ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X766 @ 32.39/5.02 X764 ) ) => 32.39/5.02 ( 32.39/5.02 ~ 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X766 @ 32.39/5.02 ( 32.39/5.02 symdiff @ 32.39/5.02 X762 @ 32.39/5.02 X764 ) ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X768:$i, 32.39/5.02 X770:$i]: 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X770 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X768 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X770 @ 32.39/5.02 emptyset ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X772:$i, 32.39/5.02 X774:$i]: 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X772 @ 32.39/5.02 ( 32.39/5.02 setunion 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X772 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X772 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X774 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X776:$i, 32.39/5.02 X778:$i]: 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X778 @ 32.39/5.02 ( 32.39/5.02 setunion 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X776 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X776 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X778 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X780:$i, 32.39/5.02 X782:$i]: 32.39/5.02 ( 32.39/5.02 ?[ 32.39/5.02 X784:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X784 @ 32.39/5.02 ( 32.39/5.02 setunion 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X780 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X780 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X782 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) ) ) & 32.39/5.02 ( 32.39/5.02 ?[ 32.39/5.02 X786:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X786 @ 32.39/5.02 ( 32.39/5.02 setunion 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X780 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X780 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X782 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) ) ) & 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X780 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X780 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X782 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) = 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X784 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X784 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X786 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) ) ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X788:$i, 32.39/5.02 X790:$i]: 32.39/5.02 ( 32.39/5.02 ?[ 32.39/5.02 X792:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X792 @ 32.39/5.02 ( 32.39/5.02 setunion 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X788 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X788 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X790 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) ) ) & 32.39/5.02 ( 32.39/5.02 ?[ 32.39/5.02 X794:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X794 @ 32.39/5.02 ( 32.39/5.02 setunion 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X788 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X788 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X790 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) ) ) & 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X788 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X788 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X790 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) = 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X792 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X792 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X794 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) ) ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X796:$i, 32.39/5.02 X798:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X798 @ 32.39/5.02 X796 ) => 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X798 @ 32.39/5.02 emptyset ) @ 32.39/5.02 X796 ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X800:$i, 32.39/5.02 X802:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X802 @ 32.39/5.02 X800 ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X802 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 X800 ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X804:$i, 32.39/5.02 X806:$i, 32.39/5.02 X808:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X808 @ 32.39/5.02 X804 ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X808 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X804 @ 32.39/5.02 X806 ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X810:$i, 32.39/5.02 X812:$i, 32.39/5.02 X814:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X814 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X810 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X812 @ 32.39/5.02 emptyset ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 X814 ) = 32.39/5.02 ( 32.39/5.02 X812 ) ) | 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 X814 ) = 32.39/5.02 ( 32.39/5.02 X810 ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X816:$i, 32.39/5.02 X818:$i, 32.39/5.02 X820:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X820 @ 32.39/5.02 X816 ) => 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X822:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X822 @ 32.39/5.02 X818 ) => 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X820 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X822 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X816 @ 32.39/5.02 X818 ) ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X824:$i, 32.39/5.02 X826:$i, 32.39/5.02 X828:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X828 @ 32.39/5.02 X824 ) => 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X830:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X830 @ 32.39/5.02 X826 ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X828 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X830 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X824 @ 32.39/5.02 X826 ) ) ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X832:$i, 32.39/5.02 X834:$i, 32.39/5.02 X836:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X836 @ 32.39/5.02 X832 ) => 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X838:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X838 @ 32.39/5.02 X834 ) => 32.39/5.02 ( 32.39/5.02 subset @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X836 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X836 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X838 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X832 @ 32.39/5.02 X834 ) ) ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X840:$i, 32.39/5.02 X842:$i, 32.39/5.02 X844:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X844 @ 32.39/5.02 X840 ) => 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X846:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X846 @ 32.39/5.02 X842 ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X844 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X844 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X846 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X840 @ 32.39/5.02 X842 ) ) ) ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X848:$i, 32.39/5.02 X850:$i, 32.39/5.02 X852:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X852 @ 32.39/5.02 X848 ) => 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X854:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X854 @ 32.39/5.02 X850 ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X852 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X852 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X854 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X848 @ 32.39/5.02 X850 ) ) ) ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X856:$i, 32.39/5.02 X858:$i, 32.39/5.02 X860:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X860 @ 32.39/5.02 X856 ) => 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X862:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X862 @ 32.39/5.02 X858 ) => 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X860 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X860 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X862 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 ( 32.39/5.02 dsetconstr 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X856 @ 32.39/5.02 X858 ) ) ) @ 32.39/5.02 ( 32.39/5.02 ^[ 32.39/5.02 V_15:$i]: 32.39/5.02 ( 32.39/5.02 ?[ 32.39/5.02 X864:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X864 @ 32.39/5.02 X856 ) & 32.39/5.02 ( 32.39/5.02 ?[ 32.39/5.02 X866:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X866 @ 32.39/5.02 X858 ) & 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 V_15 ) = 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X864 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X864 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X866 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ![ 32.39/5.02 X868:$i, 32.39/5.02 X870:$i, 32.39/5.02 X872:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X872 @ 32.39/5.02 ( 32.39/5.02 dsetconstr 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 powerset 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 binunion 32.39/5.02 @ 32.39/5.02 X868 @ 32.39/5.02 X870 ) ) ) @ 32.39/5.02 ( 32.39/5.02 ^[ 32.39/5.02 V_16:$i]: 32.39/5.02 ( 32.39/5.02 ?[ 32.39/5.02 X874:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X874 @ 32.39/5.02 X868 ) & 32.39/5.02 ( 32.39/5.02 ?[ 32.39/5.02 X876:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X876 @ 32.39/5.02 X870 ) & 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 V_16 ) = 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X874 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X874 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X876 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) ) ) ) ) ) ) ) ) => 32.39/5.02 ( 32.39/5.02 ?[ 32.39/5.02 X878:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X878 @ 32.39/5.02 X868 ) & 32.39/5.02 ( 32.39/5.02 ?[ 32.39/5.02 X880:$i]: 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 X880 @ 32.39/5.02 X870 ) & 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 X872 ) = 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X878 @ 32.39/5.02 emptyset ) @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X878 @ 32.39/5.02 ( 32.39/5.02 setadjoin 32.39/5.02 @ 32.39/5.02 X880 @ 32.39/5.02 emptyset ) ) @ 32.39/5.02 emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 32.39/5.02 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 32.39/5.02 thf(zip_derived_cl1524, plain, 32.39/5.02 (~ (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((!!) @ (^[Y1 : $i]: 32.39/5.02 (((((!!) @ (^[Y2 : $i]: 32.39/5.02 (((in @ Y2 @ Y0) <=> (in @ 32.39/5.02 Y2 @ Y1)))))) => 32.39/5.02 (((Y0) = (Y1))))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((!!) @ (^[Y1 : $i]: 32.39/5.02 (((!!) @ (^[Y2 : $i]: 32.39/5.02 (((in @ Y2 @ 32.39/5.02 (setadjoin @ Y0 @ Y1)) <=> 32.39/5.02 (((in @ Y2 @ Y1) | 32.39/5.02 (((Y2) = (Y0)))))))))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((!!) @ (^[Y1 : $i]: 32.39/5.02 (((in @ Y1 @ (powerset @ Y0)) <=> 32.39/5.02 (((!!) @ (^[Y2 : $i]: 32.39/5.02 (((in @ Y2 @ Y1) => 32.39/5.02 (in @ Y2 @ Y0)))))))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((!!) @ (^[Y1 : $i]: 32.39/5.02 (((in @ Y1 @ (setunion @ Y0)) <=> 32.39/5.02 (((??) @ (^[Y2 : $i]: 32.39/5.02 (((in @ Y1 @ Y2) & 32.39/5.02 (in @ Y2 @ Y0)))))))))))))) => 32.39/5.02 (((in @ emptyset @ omega) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((in @ Y0 @ omega) => (in @ 32.39/5.02 (setadjoin @ Y0 @ Y0) @ omega)))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((((((!!) @ (^[Y1 : $i]: 32.39/5.02 (((((in @ Y1 @ Y0) & 32.39/5.02 (in @ Y1 @ omega))) => 32.39/5.02 (in @ 32.39/5.02 (setadjoin @ Y1 @ Y1) @ 32.39/5.02 Y0)))))) & 32.39/5.02 (in @ emptyset @ Y0))) => 32.39/5.02 (((!!) @ (^[Y1 : $i]: 32.39/5.02 (((in @ Y1 @ omega) => 32.39/5.02 (in @ Y1 @ Y0))))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i > $i > $o]: 32.39/5.02 (((!!) @ (^[Y1 : $i]: 32.39/5.02 (((((!!) @ (^[Y2 : $i]: 32.39/5.02 (((in @ Y2 @ 32.39/5.02 Y1) => 32.39/5.02 (((??) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2 @ 32.39/5.02 Y3) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y4 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2 @ 32.39/5.02 Y4) => 32.39/5.02 (( 32.39/5.02 (Y3) = 32.39/5.02 (Y4)))))))))))))))))) => 32.39/5.02 (((??) @ (^[Y2 : $i]: 32.39/5.02 (((!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y3 @ 32.39/5.02 Y2) <=> 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y4 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y4 @ 32.39/5.02 Y1) & 32.39/5.02 (Y0 @ 32.39/5.02 Y4 @ Y3)))))))))))))))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 32.39/5.02 (((??) @ (^[Y1 : $i]: 32.39/5.02 (((in @ Y1 @ Y0) & 32.39/5.02 (((~) @ (((??) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y1) & 32.39/5.02 (in @ 32.39/5.02 Y2 @ Y0)))))))))))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((??) @ (^[Y1 : $i]: 32.39/5.02 (((((!!) @ (^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y1) => 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y3 @ 32.39/5.02 Y2) => 32.39/5.02 (in @ 32.39/5.02 Y3 @ Y0))))))))))) & 32.39/5.02 (((!!) @ (^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y3 @ 32.39/5.02 Y0) & 32.39/5.02 (in @ 32.39/5.02 Y2 @ Y0))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y4 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y4 @ 32.39/5.02 Y1) => 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y4) <=> 32.39/5.02 (in @ 32.39/5.02 Y3 @ Y4)))))))) => 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y3))))))))))))) & 32.39/5.02 (((!!) @ (^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y3 @ 32.39/5.02 Y1) & 32.39/5.02 (in @ 32.39/5.02 Y2 @ Y1))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y4 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y4 @ 32.39/5.02 Y3) => 32.39/5.02 (in @ 32.39/5.02 Y4 @ Y2)))))) | 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y4 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y4 @ 32.39/5.02 Y2) => 32.39/5.02 (in @ 32.39/5.02 Y4 @ Y3)))))))))))))))) & 32.39/5.02 (((!!) @ (^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (in @ 32.39/5.02 Y3 @ Y2)))) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y3 @ 32.39/5.02 Y2) => 32.39/5.02 (in @ 32.39/5.02 Y3 @ Y0)))))))) => 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y4 : $i]: 32.39/5.02 (( 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 Y3 @ Y1) & 32.39/5.02 ( 32.39/5.02 in @ 32.39/5.02 Y4 @ Y2) & 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 (~) @ ( 32.39/5.02 ( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y5 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y5 @ 32.39/5.02 Y3) & 32.39/5.02 (in @ 32.39/5.02 Y5 @ Y2)))))))) & 32.39/5.02 ( 32.39/5.02 ( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y5 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y5 @ 32.39/5.02 Y1) => 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y4 @ 32.39/5.02 Y5) | 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y6 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y6 @ 32.39/5.02 Y5) => 32.39/5.02 (in @ 32.39/5.02 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i > $o]: 32.39/5.02 (((((??) @ (^[Y1 : $i]: 32.39/5.02 (((Y0 @ Y1) & 32.39/5.02 (((!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (((Y0 @ Y2) => 32.39/5.02 (((Y1) = 32.39/5.02 (Y2))))))))))))) => 32.39/5.02 (Y0 @ (descr @ Y0))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((!!) @ (^[Y1 : $i > $o]: 32.39/5.02 (((!!) @ (^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (( 32.39/5.02 (Y1 @ 32.39/5.02 Y2) => 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 ( 32.39/5.02 dsetconstr @ 32.39/5.02 Y0 @ Y1))))))))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((!!) @ (^[Y1 : $i > $o]: 32.39/5.02 (((!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (((in @ Y2 @ 32.39/5.02 (dsetconstr @ 32.39/5.02 Y0 @ Y1)) => 32.39/5.02 (in @ Y2 @ 32.39/5.02 Y0)))))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((!!) @ (^[Y1 : $i > $o]: 32.39/5.02 (((!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (((in @ 32.39/5.02 Y2 @ 32.39/5.02 (dsetconstr @ 32.39/5.02 Y0 @ Y1)) => 32.39/5.02 (Y1 @ Y2)))))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i > $o]: 32.39/5.02 (((((??) @ (^[Y1 : $i]: 32.39/5.02 (((Y0 @ 32.39/5.02 Y1) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (Y1) = 32.39/5.02 (Y2))))))))))))) => 32.39/5.02 (((??) @ (^[Y1 : $i]: 32.39/5.02 (((Y0 @ 32.39/5.02 Y1) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (Y1) = 32.39/5.02 (Y2)))))))))))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $o]: 32.39/5.02 (((!!) @ (^[Y1 : $i]: 32.39/5.02 (((in @ 32.39/5.02 Y1 @ 32.39/5.02 (prop2set @ 32.39/5.02 Y0)) => 32.39/5.02 (Y0))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((in @ Y0 @ 32.39/5.02 emptyset) => 32.39/5.02 (((!!) @ (^[Y1 : $o]: 32.39/5.02 (Y1))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((~) @ (in @ Y0 @ 32.39/5.02 emptyset)))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((~) @ (in @ 32.39/5.02 Y0 @ 32.39/5.02 emptyset)))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i > $o]: 32.39/5.02 (((((??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y1) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (Y1) = 32.39/5.02 (Y2))))))))))))) => 32.39/5.02 (((??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (Y0 @ Y1))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (in @ 32.39/5.02 Y2 @ Y1)))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y1) => 32.39/5.02 (in @ 32.39/5.02 Y2 @ Y0)))))) => 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (Y1))))))))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (((( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 in @ 32.39/5.02 Y1 @ Y0)))))) => 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (emptyset)))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 in @ 32.39/5.02 Y1 @ Y0)))))) => 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (emptyset)))))))) => 32.39/5.02 (((((!!) @ (^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 ( 32.39/5.02 dsetconstr @ 32.39/5.02 Y0 @ Y1)) <=> 32.39/5.02 (Y1 @ Y2)))))))))))))) => 32.39/5.02 (((((!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (((((Y0) != 32.39/5.02 (emptyset))) => 32.39/5.02 (((??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (in @ 32.39/5.02 Y1 @ Y0))))))))) => 32.39/5.02 (((((!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (((!!) @ ( 32.39/5.02 ^[Y1 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (( 32.39/5.02 (Y1 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (dsetconstr @ 32.39/5.02 Y0 @ 32.39/5.02 Y1) != 32.39/5.02 (emptyset)))))))))))))))) => 32.39/5.02 (((((!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (in @ 32.39/5.02 Y1 @ Y0)))) => 32.39/5.02 (( 32.39/5.02 (Y0) != 32.39/5.02 (emptyset)))))))) => 32.39/5.02 (((((!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (in @ 32.39/5.02 Y0 @ 32.39/5.02 (setadjoin @ 32.39/5.02 Y0 @ Y1)))))))) => 32.39/5.02 (((in @ 32.39/5.02 emptyset @ 32.39/5.02 (setadjoin @ 32.39/5.02 emptyset @ 32.39/5.02 emptyset)) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y1) => 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 ( 32.39/5.02 setadjoin @ 32.39/5.02 Y0 @ Y1))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 ( 32.39/5.02 setadjoin @ 32.39/5.02 Y0 @ Y1)) => 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y0))) => 32.39/5.02 (Y3))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y1) => 32.39/5.02 (Y3))) => 32.39/5.02 (Y3))))))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 ( 32.39/5.02 setadjoin @ 32.39/5.02 Y0 @ Y1)) => 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y1) | 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y0)))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (dsetconstr @ 32.39/5.02 Y0 @ 32.39/5.02 ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 ($true))) = 32.39/5.02 (Y0)))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y1) => 32.39/5.02 (in @ 32.39/5.02 Y2 @ Y0)))))) => 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 ( 32.39/5.02 powerset @ 32.39/5.02 Y0)))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (in @ 32.39/5.02 emptyset @ 32.39/5.02 (powerset @ 32.39/5.02 Y0))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (in @ 32.39/5.02 emptyset @ 32.39/5.02 (powerset @ 32.39/5.02 Y0))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 ( 32.39/5.02 powerset @ 32.39/5.02 Y0)) => 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y1) => 32.39/5.02 (in @ 32.39/5.02 Y2 @ Y0)))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 ( 32.39/5.02 setunion @ 32.39/5.02 Y0))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 ( 32.39/5.02 setunion @ 32.39/5.02 Y0)) => 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 Y3) => 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y3 @ 32.39/5.02 Y0) => 32.39/5.02 (Y2)))))))) => 32.39/5.02 (Y2)))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 Y0) => 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 ( 32.39/5.02 powerset @ 32.39/5.02 ( 32.39/5.02 setunion @ 32.39/5.02 Y0))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y1) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (Y1) = 32.39/5.02 (Y2))))))))))))) => 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) <=> 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y1)))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y0) != 32.39/5.02 (emptyset))) => 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (in @ 32.39/5.02 Y1 @ Y0))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y0 @ 32.39/5.02 ( 32.39/5.02 setadjoin @ 32.39/5.02 Y1 @ 32.39/5.02 emptyset)) => 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (Y1))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y0) != 32.39/5.02 (Y1))) => 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 in @ 32.39/5.02 Y1 @ 32.39/5.02 ( 32.39/5.02 setadjoin @ 32.39/5.02 Y0 @ 32.39/5.02 emptyset)))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (Y1))) => 32.39/5.02 (in @ 32.39/5.02 Y0 @ 32.39/5.02 ( 32.39/5.02 setadjoin @ 32.39/5.02 Y1 @ 32.39/5.02 emptyset)))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y0 @ 32.39/5.02 ( 32.39/5.02 setadjoin @ 32.39/5.02 Y1 @ 32.39/5.02 emptyset)) => 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 ( 32.39/5.02 setadjoin @ 32.39/5.02 Y0 @ 32.39/5.02 emptyset)))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 ( 32.39/5.02 setadjoin @ 32.39/5.02 Y0 @ 32.39/5.02 ( 32.39/5.02 setadjoin @ 32.39/5.02 Y1 @ 32.39/5.02 emptyset))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y1))) | 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y0)))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (in @ 32.39/5.02 Y0 @ 32.39/5.02 (setadjoin @ 32.39/5.02 Y0 @ 32.39/5.02 (setadjoin @ 32.39/5.02 Y1 @ 32.39/5.02 emptyset))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 (setadjoin @ 32.39/5.02 Y0 @ 32.39/5.02 (setadjoin @ 32.39/5.02 Y1 @ 32.39/5.02 emptyset))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) & 32.39/5.02 (Y1 @ Y2)))))) => 32.39/5.02 (( 32.39/5.02 (dsetconstr @ 32.39/5.02 Y0 @ 32.39/5.02 Y1) != 32.39/5.02 (emptyset))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 emptyset) => 32.39/5.02 (Y0 @ Y1))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 ( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (Y1 @ Y2)))))))) => 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) & 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 Y1 @ Y2)))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 Y1 @ Y2)))))))) => 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 ( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) & 32.39/5.02 (Y1 @ Y2)))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 ( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) & 32.39/5.02 (Y1 @ Y2)))))))) => 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 Y1 @ Y2)))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) & 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 Y1 @ Y2)))))))) => 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 ( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (Y1 @ Y2)))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $o]: 32.39/5.02 (( 32.39/5.02 (Y0) => 32.39/5.02 (in @ 32.39/5.02 emptyset @ 32.39/5.02 ( 32.39/5.02 prop2set @ 32.39/5.02 Y0))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $o]: 32.39/5.02 (( 32.39/5.02 (Y0) => 32.39/5.02 (set2prop @ 32.39/5.02 ( 32.39/5.02 prop2set @ 32.39/5.02 Y0))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 ( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) & 32.39/5.02 (Y1 @ Y2)))))))) => 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 Y1 @ Y2)))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 ( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (Y1 @ Y2)))))))) => 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) & 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 Y1 @ Y2)))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y1) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (Y1) = 32.39/5.02 (Y2))))))))))))) => 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y1) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (Y1) = 32.39/5.02 (Y2)))))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (Y0 @ Y1)))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y1) => 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (Y1) = 32.39/5.02 (Y2))))))))))))) => 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y1) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (Y1) = 32.39/5.02 (Y2)))))))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) <=> 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y1))))))))))) => 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y1) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (Y1) = 32.39/5.02 (Y2)))))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (Y1))) => 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y3))) => 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (in @ 32.39/5.02 Y3 @ Y1))))))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (Y1))) => 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y3))) => 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) <=> 32.39/5.02 (in @ 32.39/5.02 Y3 @ Y1))))))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y1) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (Y1) = 32.39/5.02 (Y2))))))))))))) => 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y1) => 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (Y1) = 32.39/5.02 (Y2)))))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y3))) => 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) <=> 32.39/5.02 (Y1 @ Y3))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y3) => 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y3))))))))))))) <=> 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y1 @ 32.39/5.02 Y2) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (Y1 @ 32.39/5.02 Y3) => 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y3))))))))))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (emptyset) = 32.39/5.02 (emptyset))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (Y1))) => 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y3))) => 32.39/5.02 (( 32.39/5.02 (setadjoin @ 32.39/5.02 Y0 @ 32.39/5.02 Y2) = 32.39/5.02 (setadjoin @ 32.39/5.02 Y1 @ Y3))))))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (Y1))) => 32.39/5.02 (( 32.39/5.02 (powerset @ 32.39/5.02 Y0) = 32.39/5.02 (powerset @ 32.39/5.02 Y1))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (Y1))) => 32.39/5.02 (( 32.39/5.02 (setunion @ 32.39/5.02 Y0) = 32.39/5.02 (setunion @ 32.39/5.02 Y1))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (omega) = 32.39/5.02 (omega))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y1) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (Y1) = 32.39/5.02 (Y2))))))))))))) => 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y1) => 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (( 32.39/5.02 (Y1) = 32.39/5.02 (Y2)))))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y3))) => 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) <=> 32.39/5.02 (Y1 @ Y3))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y2) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (Y0 @ 32.39/5.02 Y3) => 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y3))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (??) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (Y1 @ 32.39/5.02 Y2) & 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i]: 32.39/5.02 (( 32.39/5.02 (Y1 @ 32.39/5.02 Y3) => 32.39/5.02 (( 32.39/5.02 (Y2) = 32.39/5.02 (Y3))))))))))))) => 32.39/5.02 (( 32.39/5.02 (descr @ 32.39/5.02 Y0) = 32.39/5.02 (descr @ 32.39/5.02 Y1))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (Y1))) => 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $i > $o]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y4 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y4 @ 32.39/5.02 Y0) => 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y5 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y5 @ 32.39/5.02 Y1) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y4) = 32.39/5.02 (Y5))) => 32.39/5.02 (( 32.39/5.02 (Y2 @ 32.39/5.02 Y4) <=> 32.39/5.02 (Y3 @ Y5))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (dsetconstr @ 32.39/5.02 Y0 @ 32.39/5.02 Y2) = 32.39/5.02 (dsetconstr @ 32.39/5.02 Y1 @ Y3))))))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (in @ 32.39/5.02 Y2 @ Y1)))))) => 32.39/5.02 (subset @ 32.39/5.02 Y0 @ Y1))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (Y1))) => 32.39/5.02 (subset @ 32.39/5.02 Y1 @ Y0))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (Y1))) => 32.39/5.02 (subset @ 32.39/5.02 Y0 @ Y1))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (in @ 32.39/5.02 Y2 @ Y1)))))) => 32.39/5.02 (subset @ 32.39/5.02 Y0 @ Y1))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (subset @ 32.39/5.02 emptyset @ 32.39/5.02 Y0)))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y0 @ 32.39/5.02 Y1) => 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (in @ 32.39/5.02 Y2 @ Y1)))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y0 @ 32.39/5.02 Y1) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 in @ 32.39/5.02 Y2 @ Y1))) => 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 in @ 32.39/5.02 Y2 @ Y0)))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 in @ 32.39/5.02 Y2 @ Y1))) => 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 subset @ 32.39/5.02 Y0 @ Y1)))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 subset @ 32.39/5.02 Y0 @ Y1))) => 32.39/5.02 (( 32.39/5.02 (Y0) != 32.39/5.02 (Y1))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (~) @ ( 32.39/5.02 in @ 32.39/5.02 Y2 @ Y1))) => 32.39/5.02 (( 32.39/5.02 (Y0) != 32.39/5.02 (Y1)))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (subset @ 32.39/5.02 Y0 @ Y0)))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y0 @ 32.39/5.02 Y1) => 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y1 @ 32.39/5.02 Y2) => 32.39/5.02 (subset @ 32.39/5.02 Y0 @ Y2)))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (subset @ 32.39/5.02 Y1 @ 32.39/5.02 (setadjoin @ 32.39/5.02 Y0 @ Y1)))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y0 @ 32.39/5.02 Y2) => 32.39/5.02 (subset @ 32.39/5.02 Y0 @ 32.39/5.02 ( 32.39/5.02 setadjoin @ 32.39/5.02 Y1 @ Y2))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y0 @ 32.39/5.02 Y1) => 32.39/5.02 (in @ 32.39/5.02 Y0 @ 32.39/5.02 ( 32.39/5.02 powerset @ 32.39/5.02 Y1)))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y0 @ 32.39/5.02 Y1) => 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y1 @ 32.39/5.02 Y0) => 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (Y1))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y0 @ 32.39/5.02 emptyset) => 32.39/5.02 (( 32.39/5.02 (Y0) = 32.39/5.02 (emptyset)))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y1 @ 32.39/5.02 Y0) => 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 ( 32.39/5.02 powerset @ 32.39/5.02 Y0)))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 ( 32.39/5.02 powerset @ 32.39/5.02 Y0)) => 32.39/5.02 (subset @ 32.39/5.02 Y1 @ Y0))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (in @ 32.39/5.02 Y0 @ 32.39/5.02 (powerset @ 32.39/5.02 Y0))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y0 @ 32.39/5.02 Y1) => 32.39/5.02 (subset @ 32.39/5.02 ( 32.39/5.02 powerset @ 32.39/5.02 Y0) @ 32.39/5.02 ( 32.39/5.02 powerset @ 32.39/5.02 Y1)))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i > $o]: 32.39/5.02 (in @ 32.39/5.02 (dsetconstr @ 32.39/5.02 Y0 @ Y1) @ 32.39/5.02 (powerset @ 32.39/5.02 Y0)))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i > $o]: 32.39/5.02 (subset @ 32.39/5.02 (dsetconstr @ 32.39/5.02 Y0 @ Y1) @ 32.39/5.02 Y0))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 ( 32.39/5.02 binunion @ 32.39/5.02 Y0 @ Y1))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (in @ 32.39/5.02 Y1 @ 32.39/5.02 (setadjoin @ 32.39/5.02 Y0 @ 32.39/5.02 (setadjoin @ 32.39/5.02 Y1 @ 32.39/5.02 emptyset))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y1) => 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 ( 32.39/5.02 binunion @ 32.39/5.02 Y0 @ Y1))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y3 : $o]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 ( 32.39/5.02 binunion @ 32.39/5.02 Y0 @ Y1)) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (Y3))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y1) => 32.39/5.02 (Y3))) => 32.39/5.02 (Y3))))))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 ( 32.39/5.02 binunion @ 32.39/5.02 Y0 @ Y1)) => 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y1) | 32.39/5.02 (in @ 32.39/5.02 Y2 @ Y0)))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (subset @ 32.39/5.02 Y0 @ 32.39/5.02 (binunion @ 32.39/5.02 Y0 @ Y1)))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (subset @ 32.39/5.02 Y1 @ 32.39/5.02 (binunion @ 32.39/5.02 Y0 @ Y1)))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 Y1) => 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 ( 32.39/5.02 binintersect @ 32.39/5.02 Y0 @ Y1))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y2 @ 32.39/5.02 Y0) => 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y2 @ 32.39/5.02 Y1) => 32.39/5.02 (subset @ 32.39/5.02 Y2 @ 32.39/5.02 ( 32.39/5.02 binintersect @ 32.39/5.02 Y0 @ Y1))))))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y2 : $i]: 32.39/5.02 (( 32.39/5.02 (in @ 32.39/5.02 Y2 @ 32.39/5.02 ( 32.39/5.02 binintersect @ 32.39/5.02 Y0 @ Y1)) => 32.39/5.02 (in @ 32.39/5.02 Y2 @ Y0)))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (subset @ 32.39/5.02 (binintersect @ 32.39/5.02 Y0 @ Y1) @ 32.39/5.02 Y0))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (subset @ 32.39/5.02 Y0 @ 32.39/5.02 Y1) => 32.39/5.02 (( 32.39/5.02 (binintersect @ 32.39/5.02 Y0 @ 32.39/5.02 Y1) = 32.39/5.02 (Y0))))))))))) => 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y0 : $i]: 32.39/5.02 (( 32.39/5.02 (!!) @ ( 32.39/5.02 ^[Y1 : $i]: 32.39/5.02 (( 32.39/5.02 (( 32.39/5.02 (binintersect @ 32.39/5.02 Y0 @ 32.39/5.02 Y1) = 32.39/5.03 (Y1))) => 32.39/5.03 (subset @ 32.39/5.03 Y1 @ Y0))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 binintersect @ 32.39/5.03 Y0 @ Y1)) => 32.39/5.03 (in @ 32.39/5.03 Y2 @ Y1)))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 ( 32.39/5.03 (??) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y0) & 32.39/5.03 (in @ 32.39/5.03 Y2 @ Y1)))))))) => 32.39/5.03 (( 32.39/5.03 (binintersect @ 32.39/5.03 Y0 @ 32.39/5.03 Y1) = 32.39/5.03 (emptyset))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (subset @ 32.39/5.03 (binintersect @ 32.39/5.03 Y0 @ Y1) @ 32.39/5.03 Y1))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (subset @ 32.39/5.03 Y1 @ 32.39/5.03 Y0) => 32.39/5.03 (( 32.39/5.03 (binintersect @ 32.39/5.03 Y0 @ 32.39/5.03 Y1) = 32.39/5.03 (Y1))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (binintersect @ 32.39/5.03 Y0 @ 32.39/5.03 Y1) = 32.39/5.03 (Y0))) => 32.39/5.03 (subset @ 32.39/5.03 Y0 @ Y1))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (binintersect @ 32.39/5.03 Y0 @ 32.39/5.03 ( 32.39/5.03 binunion @ 32.39/5.03 Y1 @ Y2)) = 32.39/5.03 (binunion @ 32.39/5.03 ( 32.39/5.03 binintersect @ 32.39/5.03 Y0 @ Y1) @ 32.39/5.03 ( 32.39/5.03 binintersect @ 32.39/5.03 Y0 @ Y2))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y0) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ Y1))) => 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setminus @ 32.39/5.03 Y0 @ Y1))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setminus @ 32.39/5.03 Y0 @ Y1)) => 32.39/5.03 (in @ 32.39/5.03 Y2 @ Y0)))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setminus @ 32.39/5.03 Y0 @ Y1)) => 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ Y1)))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (subset @ 32.39/5.03 Y0 @ 32.39/5.03 Y1) => 32.39/5.03 (( 32.39/5.03 (setminus @ 32.39/5.03 Y0 @ 32.39/5.03 Y1) = 32.39/5.03 (emptyset))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setminus @ 32.39/5.03 Y0 @ Y1)))) => 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y0) => 32.39/5.03 (in @ 32.39/5.03 Y2 @ Y1)))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setminus @ 32.39/5.03 Y0 @ Y1)))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ Y1))) => 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ Y0)))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ Y0))) => 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setminus @ 32.39/5.03 Y0 @ Y1))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y1) => 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setminus @ 32.39/5.03 Y0 @ Y1))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (subset @ 32.39/5.03 (setminus @ 32.39/5.03 Y0 @ Y1) @ 32.39/5.03 Y0))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (setminus @ 32.39/5.03 Y0 @ 32.39/5.03 Y1) = 32.39/5.03 (emptyset))) => 32.39/5.03 (subset @ 32.39/5.03 Y0 @ Y1))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 symdiff @ 32.39/5.03 Y0 @ Y1)) => 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y3 : $o]: 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y0) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ Y1))) => 32.39/5.03 (Y3))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ Y0))) => 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y1) => 32.39/5.03 (Y3))))) => 32.39/5.03 (Y3))))))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y0) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ Y1))) => 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 symdiff @ 32.39/5.03 Y0 @ Y1))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ Y0))) => 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y1) => 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 symdiff @ 32.39/5.03 Y0 @ Y1))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y0) => 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y1) => 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 symdiff @ 32.39/5.03 Y0 @ Y1))))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ Y0))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ Y1))) => 32.39/5.03 (( 32.39/5.03 (~) @ ( 32.39/5.03 in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 symdiff @ 32.39/5.03 Y0 @ Y1))))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (in @ 32.39/5.03 Y1 @ 32.39/5.03 (setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 (setadjoin @ 32.39/5.03 Y1 @ 32.39/5.03 emptyset))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (in @ 32.39/5.03 Y0 @ 32.39/5.03 (setunion @ 32.39/5.03 (setadjoin @ 32.39/5.03 (setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 emptyset) @ 32.39/5.03 (setadjoin @ 32.39/5.03 (setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 (setadjoin @ 32.39/5.03 Y1 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (in @ 32.39/5.03 Y1 @ 32.39/5.03 (setunion @ 32.39/5.03 (setadjoin @ 32.39/5.03 (setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 emptyset) @ 32.39/5.03 (setadjoin @ 32.39/5.03 (setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 (setadjoin @ 32.39/5.03 Y1 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (??) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setunion @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y1 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)))) & 32.39/5.03 (( 32.39/5.03 (??) @ ( 32.39/5.03 ^[Y3 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y3 @ 32.39/5.03 ( 32.39/5.03 setunion @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y1 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)))) & 32.39/5.03 (( 32.39/5.03 (setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y1 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)) = 32.39/5.03 (setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y3 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)))))))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (??) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setunion @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y1 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)))) & 32.39/5.03 (( 32.39/5.03 (??) @ ( 32.39/5.03 ^[Y3 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y3 @ 32.39/5.03 ( 32.39/5.03 setunion @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y1 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)))) & 32.39/5.03 (( 32.39/5.03 (setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y1 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)) = 32.39/5.03 (setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y3 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)))))))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y1 @ 32.39/5.03 Y0) => 32.39/5.03 (subset @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y1 @ 32.39/5.03 emptyset) @ 32.39/5.03 Y0))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y1 @ 32.39/5.03 Y0) => 32.39/5.03 (in @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y1 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 powerset @ 32.39/5.03 Y0)))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y0) => 32.39/5.03 (in @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 powerset @ 32.39/5.03 ( 32.39/5.03 binunion @ 32.39/5.03 Y0 @ Y1)))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y0 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y1 @ 32.39/5.03 emptyset))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (Y2) = 32.39/5.03 (Y1))) | 32.39/5.03 (( 32.39/5.03 (Y2) = 32.39/5.03 (Y0)))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y0) => 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y3 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y3 @ 32.39/5.03 Y1) => 32.39/5.03 (subset @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y3 @ 32.39/5.03 emptyset)) @ 32.39/5.03 ( 32.39/5.03 binunion @ 32.39/5.03 Y0 @ Y1)))))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y0) => 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y3 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y3 @ 32.39/5.03 Y1) => 32.39/5.03 (in @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y3 @ 32.39/5.03 emptyset)) @ 32.39/5.03 ( 32.39/5.03 powerset @ 32.39/5.03 ( 32.39/5.03 binunion @ 32.39/5.03 Y0 @ Y1))))))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y0) => 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y3 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y3 @ 32.39/5.03 Y1) => 32.39/5.03 (subset @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y3 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)) @ 32.39/5.03 ( 32.39/5.03 powerset @ 32.39/5.03 ( 32.39/5.03 binunion @ 32.39/5.03 Y0 @ Y1))))))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y0) => 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y3 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y3 @ 32.39/5.03 Y1) => 32.39/5.03 (in @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y3 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)) @ 32.39/5.03 ( 32.39/5.03 powerset @ 32.39/5.03 ( 32.39/5.03 powerset @ 32.39/5.03 ( 32.39/5.03 binunion @ 32.39/5.03 Y0 @ Y1)))))))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y0) => 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y3 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y3 @ 32.39/5.03 Y1) => 32.39/5.03 (in @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y3 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)) @ 32.39/5.03 ( 32.39/5.03 powerset @ 32.39/5.03 ( 32.39/5.03 powerset @ 32.39/5.03 ( 32.39/5.03 binunion @ 32.39/5.03 Y0 @ Y1)))))))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 Y0) => 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y3 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y3 @ 32.39/5.03 Y1) => 32.39/5.03 (in @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y3 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)) @ 32.39/5.03 ( 32.39/5.03 dsetconstr @ 32.39/5.03 ( 32.39/5.03 powerset @ 32.39/5.03 ( 32.39/5.03 powerset @ 32.39/5.03 ( 32.39/5.03 binunion @ 32.39/5.03 Y0 @ Y1))) @ 32.39/5.03 ( 32.39/5.03 ^[Y4 : $i]: 32.39/5.03 (( 32.39/5.03 (??) @ ( 32.39/5.03 ^[Y5 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y5 @ 32.39/5.03 Y0) & 32.39/5.03 (( 32.39/5.03 (??) @ ( 32.39/5.03 ^[Y6 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y6 @ 32.39/5.03 Y1) & 32.39/5.03 (( 32.39/5.03 (Y4) = 32.39/5.03 (setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y5 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y5 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y6 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset))))))))))))))))))))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y0 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y1 : $i]: 32.39/5.03 (( 32.39/5.03 (!!) @ ( 32.39/5.03 ^[Y2 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y2 @ 32.39/5.03 ( 32.39/5.03 dsetconstr @ 32.39/5.03 ( 32.39/5.03 powerset @ 32.39/5.03 ( 32.39/5.03 powerset @ 32.39/5.03 ( 32.39/5.03 binunion @ 32.39/5.03 Y0 @ Y1))) @ 32.39/5.03 ( 32.39/5.03 ^[Y3 : $i]: 32.39/5.03 (( 32.39/5.03 (??) @ ( 32.39/5.03 ^[Y4 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y4 @ 32.39/5.03 Y0) & 32.39/5.03 (( 32.39/5.03 (??) @ ( 32.39/5.03 ^[Y5 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y5 @ 32.39/5.03 Y1) & 32.39/5.03 (( 32.39/5.03 (Y3) = 32.39/5.03 (setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y4 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y4 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y5 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset))))))))))))))))) => 32.39/5.03 (( 32.39/5.03 (??) @ ( 32.39/5.03 ^[Y3 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y3 @ 32.39/5.03 Y0) & 32.39/5.03 (( 32.39/5.03 (??) @ ( 32.39/5.03 ^[Y4 : $i]: 32.39/5.03 (( 32.39/5.03 (in @ 32.39/5.03 Y4 @ 32.39/5.03 Y1) & 32.39/5.03 (( 32.39/5.03 (Y2) = 32.39/5.03 (setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y3 @ 32.39/5.03 emptyset) @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y3 @ 32.39/5.03 ( 32.39/5.03 setadjoin @ 32.39/5.03 Y4 @ 32.39/5.03 emptyset)) @ 32.39/5.03 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 32.39/5.03 inference('cnf', [status(esa)], [zf_stmt_1])). 32.39/5.03 thf(zip_derived_cl1525, plain, ($false), 32.39/5.03 inference('eprover', [status(thm)], [zip_derived_cl1524])). 32.39/5.03 32.39/5.03 % SZS output end Refutation 32.39/5.03 32.39/5.03 32.39/5.03 % Terminating... 32.39/5.03 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 32.82/5.12 % Runner terminated. 32.82/5.13 % Zipperpin 1.5 exiting 32.82/5.14 EOF