0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.J7JBEkAxnJ true 0.14/0.42 % Computer : n019.cluster.edu 0.14/0.42 % Model : x86_64 x86_64 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.42 % Memory : 8046.5625MB 0.14/0.42 % OS : Linux 6.8.0-71-generic 0.14/0.42 % CPULimit : 1440 0.14/0.42 % WCLimit : 180 0.14/0.42 % DateTime : Mon Jul 27 13:05:07 UTC 2026 0.14/0.42 % CPUTime : 0.14/0.42 % Running portfolio for 1440 s 0.14/0.42 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.42 % Number of cores: 8 0.14/0.43 % Python version: Python 3.12.3 0.14/0.43 % Running in HO mode 0.46/0.77 % Total configuration time : 828 0.46/0.77 % Estimated wc time : 1656 0.46/0.77 % Estimated cpu time (8 cpus) : 207.0 0.50/0.88 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.52/0.90 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.52/0.93 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.52/0.96 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.52/0.96 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.52/0.97 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.52/0.97 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.52/0.97 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 144.43/19.97 % Solved by lams/40_c.s.sh. 144.43/19.97 % done 464 iterations in 18.604s 144.43/19.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 144.43/19.97 % SZS output start Refutation 144.43/19.97 thf(setadjoinAx_type, type, setadjoinAx: $o). 144.43/19.97 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 144.43/19.97 thf(notdexE_type, type, notdexE: $o). 144.43/19.97 thf(setunionAx_type, type, setunionAx: $o). 144.43/19.97 thf(setminusELneg_type, type, setminusELneg: $o). 144.43/19.97 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 144.43/19.97 thf(powersetE_type, type, powersetE: $o). 144.43/19.97 thf(omegaSAx_type, type, omegaSAx: $o). 144.43/19.97 thf(exuI1_type, type, exuI1: $o). 144.43/19.97 thf(exuI2_type, type, exuI2: $o). 144.43/19.97 thf(notequalI2_type, type, notequalI2: $o). 144.43/19.97 thf(kpairiskpair_type, type, kpairiskpair: $o). 144.43/19.97 thf(upairsubunion_type, type, upairsubunion: $o). 144.43/19.97 thf(sk__540_type, type, sk__540: $i). 144.43/19.97 thf(powerset__Cong_type, type, powerset__Cong: $o). 144.43/19.97 thf(setminusILneg_type, type, setminusILneg: $o). 144.43/19.97 thf('#l_lift7352_type', type, '#l_lift7352': $i > $o). 144.43/19.97 thf(sk__542_type, type, sk__542: $i > $i > $o). 144.43/19.97 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o). 144.43/19.97 thf(wellorderingAx_type, type, wellorderingAx: $o). 144.43/19.97 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 144.43/19.97 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 144.43/19.97 thf(upairinpowunion_type, type, upairinpowunion: $o). 144.43/19.97 thf(setoftrueEq_type, type, setoftrueEq: $o). 144.43/19.97 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 144.43/19.97 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 144.43/19.97 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o). 144.43/19.97 thf(sepInPowerset_type, type, sepInPowerset: $o). 144.43/19.97 thf(setukpairIR_type, type, setukpairIR: $o). 144.43/19.97 thf(kpair_type, type, kpair: $i > $i > $i). 144.43/19.97 thf(binunionE_type, type, binunionE: $o). 144.43/19.97 thf(setext_type, type, setext: $o). 144.43/19.97 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 144.43/19.97 thf(ksnd_type, type, ksnd: $i > $i). 144.43/19.97 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 144.43/19.97 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 144.43/19.97 thf(descr__Cong_type, type, descr__Cong: $o). 144.43/19.97 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 144.43/19.97 thf(in_type, type, in: $i > $i > $o). 144.43/19.97 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 144.43/19.97 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 144.43/19.97 thf(binunion_type, type, binunion: $i > $i > $i). 144.43/19.97 thf(setadjoinIR_type, type, setadjoinIR: $o). 144.43/19.97 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 144.43/19.97 thf(symdiffI2_type, type, symdiffI2: $o). 144.43/19.97 thf(upairset2IR_type, type, upairset2IR: $o). 144.43/19.97 thf(subsetE_type, type, subsetE: $o). 144.43/19.97 thf(prop2set2propI_type, type, prop2set2propI: $o). 144.43/19.97 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 144.43/19.97 thf(setbeta_type, type, setbeta: $o). 144.43/19.97 thf(eqinunit_type, type, eqinunit: $o). 144.43/19.97 thf(upairsetIL_type, type, upairsetIL: $o). 144.43/19.97 thf(powersetI1_type, type, powersetI1: $o). 144.43/19.97 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > ($i > $o) > $o). 144.43/19.97 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 144.43/19.97 thf(setukpairinjR_type, type, setukpairinjR: $o). 144.43/19.97 thf(cartprodfstin_type, type, cartprodfstin: $o). 144.43/19.97 thf(setminusIRneg_type, type, setminusIRneg: $o). 144.43/19.97 thf(kfst_type, type, kfst: $i > $i). 144.43/19.97 thf(powersetAx_type, type, powersetAx: $o). 144.43/19.97 thf(singletonprop_type, type, singletonprop: $o). 144.43/19.97 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 144.43/19.97 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 144.43/19.97 thf(powersetI_type, type, powersetI: $o). 144.43/19.97 thf(cartprodmempair_type, type, cartprodmempair: $o). 144.43/19.97 thf(upairsetIR_type, type, upairsetIR: $o). 144.43/19.97 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 144.43/19.97 thf(inCongP_type, type, inCongP: $o). 144.43/19.97 thf(setukpairinjL_type, type, setukpairinjL: $o). 144.43/19.97 thf(setadjoinSub_type, type, setadjoinSub: $o). 144.43/19.97 thf(exuE3e_type, type, exuE3e: $o). 144.43/19.97 thf(emptysetE_type, type, emptysetE: $o). 144.43/19.97 thf(upairequniteq_type, type, upairequniteq: $o). 144.43/19.97 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 144.43/19.97 thf(setunionI_type, type, setunionI: $o). 144.43/19.97 thf(symdiff_type, type, symdiff: $i > $i > $i). 144.43/19.97 thf(setunion__Cong_type, type, setunion__Cong: $o). 144.43/19.97 thf(prop2setI_type, type, prop2setI: $o). 144.43/19.97 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 144.43/19.97 thf(setminusER_type, type, setminusER: $o). 144.43/19.97 thf(exuE2_type, type, exuE2: $o). 144.43/19.97 thf(emptyset_type, type, emptyset: $i). 144.43/19.97 thf(setminus_type, type, setminus: $i > $i > $i). 144.43/19.97 thf(powersetsubset_type, type, powersetsubset: $o). 144.43/19.97 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 144.43/19.97 thf(subPowSU_type, type, subPowSU: $o). 144.43/19.97 thf(ex1_type, type, ex1: $i > ($i > $o) > $o). 144.43/19.97 thf(notequalI1_type, type, notequalI1: $o). 144.43/19.97 thf(notinemptyset_type, type, notinemptyset: $o). 144.43/19.97 thf(nonemptyI1_type, type, nonemptyI1: $o). 144.43/19.97 thf(subsetTrans_type, type, subsetTrans: $o). 144.43/19.97 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 144.43/19.97 thf(kpairp_type, type, kpairp: $o). 144.43/19.97 thf(setminusI_type, type, setminusI: $o). 144.43/19.97 thf(binunionIL_type, type, binunionIL: $o). 144.43/19.97 thf(setunionsingleton_type, type, setunionsingleton: $o). 144.43/19.97 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > ($i > $o) > $o). 144.43/19.97 thf(subsetE2_type, type, subsetE2: $o). 144.43/19.97 thf(singletonsswitch_type, type, singletonsswitch: $o). 144.43/19.97 thf(kfstpairEq_type, type, kfstpairEq: $o). 144.43/19.97 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 144.43/19.97 thf(setextsub_type, type, setextsub: $o). 144.43/19.97 thf(binunionLsub_type, type, binunionLsub: $o). 144.43/19.97 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 144.43/19.97 thf(binintersect_type, type, binintersect: $i > $i > $i). 144.43/19.97 thf(emptysetsubset_type, type, emptysetsubset: $o). 144.43/19.97 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 144.43/19.97 thf(setunionE_type, type, setunionE: $o). 144.43/19.97 thf(setminusSubset1_type, type, setminusSubset1: $o). 144.43/19.97 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > ($i > $i > $o) > $o). 144.43/19.97 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 144.43/19.97 thf(binunionIR_type, type, binunionIR: $o). 144.43/19.97 thf(setadjoinE_type, type, setadjoinE: $o). 144.43/19.97 thf(descr_type, type, descr: ($i > $o) > $i). 144.43/19.97 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 144.43/19.97 thf(singletonsuniq_type, type, singletonsuniq: $o). 144.43/19.97 thf(setadjoinIL_type, type, setadjoinIL: $o). 144.43/19.97 thf(exuE1_type, type, exuE1: $o). 144.43/19.97 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 144.43/19.97 thf(binintersectRsub_type, type, binintersectRsub: $o). 144.43/19.97 thf(setminusLsub_type, type, setminusLsub: $o). 144.43/19.97 thf(prop2set_type, type, prop2set: $o > $i). 144.43/19.97 thf(sk__544_type, type, sk__544: $i). 144.43/19.97 thf(notinsingleton_type, type, notinsingleton: $o). 144.43/19.97 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 144.43/19.97 thf(exuEu_type, type, exuEu: $o). 144.43/19.97 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 144.43/19.97 thf(ex1I2_type, type, ex1I2: $o). 144.43/19.97 thf(upairsetE_type, type, upairsetE: $o). 144.43/19.97 thf(omega0Ax_type, type, omega0Ax: $o). 144.43/19.97 thf(notsubsetI_type, type, notsubsetI: $o). 144.43/19.97 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 144.43/19.97 thf(setextAx_type, type, setextAx: $o). 144.43/19.97 thf(powersetE1_type, type, powersetE1: $o). 144.43/19.97 thf(bs114d_type, type, bs114d: $o). 144.43/19.97 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 144.43/19.97 thf(setunion_type, type, setunion: $i > $i). 144.43/19.97 thf(iskpair_type, type, iskpair: $i > $o). 144.43/19.97 thf(binintersectLsub_type, type, binintersectLsub: $o). 144.43/19.97 thf(subsetI1_type, type, subsetI1: $o). 144.43/19.97 thf(symdiffE_type, type, symdiffE: $o). 144.43/19.97 thf(descrp_type, type, descrp: $o). 144.43/19.97 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 144.43/19.97 thf(foundationAx_type, type, foundationAx: $o). 144.43/19.97 thf(emptysetAx_type, type, emptysetAx: $o). 144.43/19.97 thf(emptyI_type, type, emptyI: $o). 144.43/19.97 thf(setadjoinOr_type, type, setadjoinOr: $o). 144.43/19.97 thf(binintersectEL_type, type, binintersectEL: $o). 144.43/19.97 thf(emptyE1_type, type, emptyE1: $o). 144.43/19.97 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 144.43/19.97 thf(vacuousDall_type, type, vacuousDall: $o). 144.43/19.97 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 144.43/19.97 thf(dsetconstrER_type, type, dsetconstrER: $o). 144.43/19.97 thf(exu_type, type, exu: ($i > $o) > $o). 144.43/19.97 thf(binintersectI_type, type, binintersectI: $o). 144.43/19.97 thf(cartprodpairin_type, type, cartprodpairin: $o). 144.43/19.97 thf(sk__541_type, type, sk__541: $i). 144.43/19.97 thf(ex1I_type, type, ex1I: $o). 144.43/19.97 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 144.43/19.97 thf(cartprodsndin_type, type, cartprodsndin: $o). 144.43/19.97 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 144.43/19.97 thf(dpsetconstr_type, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 144.43/19.97 thf(singleton_type, type, singleton: $i > $o). 144.43/19.97 thf(symdiffI1_type, type, symdiffI1: $o). 144.43/19.97 thf(subsetI2_type, type, subsetI2: $o). 144.43/19.97 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 144.43/19.97 thf(theprop_type, type, theprop: $o). 144.43/19.97 thf(setminusERneg_type, type, setminusERneg: $o). 144.43/19.97 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 144.43/19.97 thf(omega__Cong_type, type, omega__Cong: $o). 144.43/19.97 thf(subsetRefl_type, type, subsetRefl: $o). 144.43/19.97 thf(uniqinunit_type, type, uniqinunit: $o). 144.43/19.97 thf(sk__543_type, type, sk__543: $i). 144.43/19.97 thf(setminusSubset2_type, type, setminusSubset2: $o). 144.43/19.97 thf(prop2setE_type, type, prop2setE: $o). 144.43/19.97 thf(binunionEcases_type, type, binunionEcases: $o). 144.43/19.97 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o). 144.43/19.97 thf(omega_type, type, omega: $i). 144.43/19.97 thf(nonemptyI_type, type, nonemptyI: $o). 144.43/19.97 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 144.43/19.97 thf(exuE3u_type, type, exuE3u: $o). 144.43/19.97 thf(setminusEL_type, type, setminusEL: $o). 144.43/19.97 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 144.43/19.97 thf(sepSubset_type, type, sepSubset: $o). 144.43/19.97 thf(upairset2E_type, type, upairset2E: $o). 144.43/19.97 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 144.43/19.97 thf(exuI3_type, type, exuI3: $o). 144.43/19.97 thf(notdallE_type, type, notdallE: $o). 144.43/19.97 thf(binintersectER_type, type, binintersectER: $o). 144.43/19.97 thf(ksndsingleton_type, type, ksndsingleton: $o). 144.43/19.97 thf(powerset_type, type, powerset: $i > $i). 144.43/19.97 thf(kfstsingleton_type, type, kfstsingleton: $o). 144.43/19.97 thf(dsetconstrI_type, type, dsetconstrI: $o). 144.43/19.97 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 144.43/19.97 thf(nonempty_type, type, nonempty: $i > $o). 144.43/19.97 thf(set2prop_type, type, set2prop: $i > $o). 144.43/19.97 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 144.43/19.97 thf(exu__Cong_type, type, exu__Cong: $o). 144.43/19.97 thf(ksndpairEq_type, type, ksndpairEq: $o). 144.43/19.97 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 144.43/19.97 thf(ex1E1_type, type, ex1E1: $o). 144.43/19.97 thf(secondinupair_type, type, secondinupair: $o). 144.43/19.97 thf(singletonsubset_type, type, singletonsubset: $o). 144.43/19.97 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 144.43/19.97 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 144.43/19.97 thf(replAx_type, type, replAx: $o). 144.43/19.97 thf(nonemptyE1_type, type, nonemptyE1: $o). 144.43/19.97 thf(omegaIndAx_type, type, omegaIndAx: $o). 144.43/19.97 thf(setukpairIL_type, type, setukpairIL: $o). 144.43/19.97 thf(setunionE2_type, type, setunionE2: $o). 144.43/19.97 thf(inPowerset_type, type, inPowerset: $o). 144.43/19.97 thf(cartprod_type, type, cartprod: $i > $i > $i). 144.43/19.97 thf(subset_type, type, subset: $i > $i > $o). 144.43/19.97 thf(in__Cong_type, type, in__Cong: $o). 144.43/19.97 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 144.43/19.97 thf(binunionRsub_type, type, binunionRsub: $o). 144.43/19.97 thf(subset2powerset_type, type, subset2powerset: $o). 144.43/19.97 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 144.43/19.97 thf(dpsetconstr, axiom,(( dpsetconstr ) = 144.43/19.97 (^[A:$i,B:$i,Xphi:( $i > $i > $o )]: 144.43/19.97 ( dsetconstr @ 144.43/19.97 ( cartprod @ A @ B ) @ 144.43/19.97 ( ^[Xu:$i]: 144.43/19.97 ( ?[Xx:$i]: 144.43/19.97 ( ( ?[Xy:$i]: 144.43/19.97 ( ( ( Xu ) = ( kpair @ Xx @ Xy ) ) & ( Xphi @ Xx @ Xy ) & 144.43/19.97 ( in @ Xy @ B ) ) ) & 144.43/19.97 ( in @ Xx @ A ) ) ) ) )))). 144.43/19.97 thf('0', plain, 144.43/19.97 (( dpsetconstr ) = 144.43/19.97 ( ^[A:$i,B:$i,Xphi:( $i > $i > $o )]: 144.43/19.97 ( dsetconstr @ 144.43/19.97 ( cartprod @ A @ B ) @ 144.43/19.97 ( ^[Xu:$i]: 144.43/19.97 ( ?[Xx:$i]: 144.43/19.97 ( ( ?[Xy:$i]: 144.43/19.97 ( ( ( Xu ) = ( kpair @ Xx @ Xy ) ) & ( Xphi @ Xx @ Xy ) & 144.43/19.97 ( in @ Xy @ B ) ) ) & 144.43/19.97 ( in @ Xx @ A ) ) ) ) ) )), 144.43/19.97 inference('simplify_rw_rule', [status(thm)], [dpsetconstr])). 144.43/19.97 thf('1', plain, 144.43/19.97 (( dpsetconstr ) = 144.43/19.97 ( ^[V_1:$i,V_2:$i,V_3:( $i > $i > $o )]: 144.43/19.97 ( dsetconstr @ 144.43/19.97 ( cartprod @ V_1 @ V_2 ) @ 144.43/19.97 ( ^[V_4:$i]: 144.43/19.97 ( ?[X4:$i]: 144.43/19.97 ( ( ?[X6:$i]: 144.43/19.97 ( ( ( V_4 ) = ( kpair @ X4 @ X6 ) ) & ( V_3 @ X4 @ X6 ) & 144.43/19.97 ( in @ X6 @ V_2 ) ) ) & 144.43/19.97 ( in @ X4 @ V_1 ) ) ) ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.97 thf(cartprodpairsurjEq, axiom, cartprodpairsurjEq = 144.43/19.97 (![A:$i,B:$i,Xu:$i]: 144.43/19.97 ( ( in @ Xu @ ( cartprod @ A @ B ) ) => 144.43/19.97 ( ( kpair @ ( kfst @ Xu ) @ ( ksnd @ Xu ) ) = ( Xu ) ) ))). 144.43/19.97 thf('2', plain, 144.43/19.97 (( cartprodpairsurjEq ) = 144.43/19.97 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.97 ( ( in @ X8 @ ( cartprod @ X4 @ X6 ) ) => 144.43/19.97 ( ( kpair @ ( kfst @ X8 ) @ ( ksnd @ X8 ) ) = ( X8 ) ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.97 thf(cartprodsndpairEq, axiom, cartprodsndpairEq = 144.43/19.97 (![A:$i,B:$i,Xx:$i]: 144.43/19.97 ( ( in @ Xx @ A ) => 144.43/19.97 ( ![Xy:$i]: 144.43/19.97 ( ( in @ Xy @ B ) => ( ( ksnd @ ( kpair @ Xx @ Xy ) ) = ( Xy ) ) ) ) ))). 144.43/19.97 thf('3', plain, 144.43/19.97 (( cartprodsndpairEq ) = 144.43/19.97 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.97 ( ( in @ X8 @ X4 ) => 144.43/19.97 ( ![X10:$i]: 144.43/19.97 ( ( in @ X10 @ X6 ) => 144.43/19.97 ( ( ksnd @ ( kpair @ X8 @ X10 ) ) = ( X10 ) ) ) ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.97 thf(cartprodfstpairEq, axiom, cartprodfstpairEq = 144.43/19.97 (![A:$i,B:$i,Xx:$i]: 144.43/19.97 ( ( in @ Xx @ A ) => 144.43/19.97 ( ![Xy:$i]: 144.43/19.97 ( ( in @ Xy @ B ) => ( ( kfst @ ( kpair @ Xx @ Xy ) ) = ( Xx ) ) ) ) ))). 144.43/19.97 thf('4', plain, 144.43/19.97 (( cartprodfstpairEq ) = 144.43/19.97 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.97 ( ( in @ X8 @ X4 ) => 144.43/19.97 ( ![X10:$i]: 144.43/19.97 ( ( in @ X10 @ X6 ) => 144.43/19.97 ( ( kfst @ ( kpair @ X8 @ X10 ) ) = ( X8 ) ) ) ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.97 thf(cartprodmempaircEq, axiom, cartprodmempaircEq = 144.43/19.97 (![A:$i,B:$i,Xx:$i]: 144.43/19.97 ( ( in @ Xx @ A ) => 144.43/19.97 ( ![Xy:$i]: 144.43/19.97 ( ( in @ Xy @ B ) => ( ( kpair @ Xx @ Xy ) = ( kpair @ Xx @ Xy ) ) ) ) ))). 144.43/19.97 thf('5', plain, 144.43/19.97 (( cartprodmempaircEq ) = 144.43/19.97 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.97 ( ( in @ X8 @ X4 ) => 144.43/19.97 ( ![X10:$i]: 144.43/19.97 ( ( in @ X10 @ X6 ) => 144.43/19.97 ( ( kpair @ X8 @ X10 ) = ( kpair @ X8 @ X10 ) ) ) ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.97 thf(cartprodpairmemER, axiom, cartprodpairmemER = 144.43/19.97 (![A:$i,B:$i,Xx:$i,Xy:$i]: 144.43/19.97 ( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) ) => ( in @ Xy @ B ) ))). 144.43/19.97 thf('6', plain, 144.43/19.97 (( cartprodpairmemER ) = 144.43/19.97 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 144.43/19.97 ( ( in @ ( kpair @ X8 @ X10 ) @ ( cartprod @ X4 @ X6 ) ) => 144.43/19.97 ( in @ X10 @ X6 ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.97 thf(cartprodpairmemEL, axiom, cartprodpairmemEL = 144.43/19.97 (![A:$i,B:$i,Xx:$i,Xy:$i]: 144.43/19.97 ( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) ) => ( in @ Xx @ A ) ))). 144.43/19.97 thf('7', plain, 144.43/19.97 (( cartprodpairmemEL ) = 144.43/19.97 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 144.43/19.97 ( ( in @ ( kpair @ X8 @ X10 ) @ ( cartprod @ X4 @ X6 ) ) => 144.43/19.97 ( in @ X8 @ X4 ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.97 thf(cartprodsndin, axiom, cartprodsndin = 144.43/19.97 (![A:$i,B:$i,Xu:$i]: 144.43/19.97 ( ( in @ Xu @ ( cartprod @ A @ B ) ) => ( in @ ( ksnd @ Xu ) @ B ) ))). 144.43/19.97 thf('8', plain, 144.43/19.97 (( cartprodsndin ) = 144.43/19.97 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.97 ( ( in @ X8 @ ( cartprod @ X4 @ X6 ) ) => ( in @ ( ksnd @ X8 ) @ X6 ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.97 thf(kpairsurjEq, axiom, kpairsurjEq = 144.43/19.97 (![Xu:$i]: 144.43/19.97 ( ( iskpair @ Xu ) => 144.43/19.97 ( ( kpair @ ( kfst @ Xu ) @ ( ksnd @ Xu ) ) = ( Xu ) ) ))). 144.43/19.97 thf('9', plain, 144.43/19.97 (( kpairsurjEq ) = 144.43/19.97 ( ![X4:$i]: 144.43/19.97 ( ( iskpair @ X4 ) => 144.43/19.97 ( ( kpair @ ( kfst @ X4 ) @ ( ksnd @ X4 ) ) = ( X4 ) ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.97 thf(ksndpairEq, axiom, ksndpairEq = 144.43/19.97 (![Xx:$i,Xy:$i]: ( ( ksnd @ ( kpair @ Xx @ Xy ) ) = ( Xy ) ))). 144.43/19.97 thf('10', plain, 144.43/19.97 (( ksndpairEq ) = 144.43/19.97 ( ![X4:$i,X6:$i]: ( ( ksnd @ ( kpair @ X4 @ X6 ) ) = ( X6 ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.97 thf(ksndsingleton, axiom, ksndsingleton = 144.43/19.97 (![Xu:$i]: 144.43/19.97 ( ( iskpair @ Xu ) => 144.43/19.97 ( singleton @ 144.43/19.97 ( dsetconstr @ 144.43/19.97 ( setunion @ Xu ) @ 144.43/19.97 ( ^[Xx:$i]: ( ( Xu ) = ( kpair @ ( kfst @ Xu ) @ Xx ) ) ) ) ) ))). 144.43/19.97 thf('11', plain, 144.43/19.97 (( ksndsingleton ) = 144.43/19.97 ( ![X4:$i]: 144.43/19.97 ( ( iskpair @ X4 ) => 144.43/19.97 ( singleton @ 144.43/19.97 ( dsetconstr @ 144.43/19.97 ( setunion @ X4 ) @ 144.43/19.97 ( ^[V_1:$i]: ( ( X4 ) = ( kpair @ ( kfst @ X4 ) @ V_1 ) ) ) ) ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.97 thf(setukpairinjR, axiom, setukpairinjR = 144.43/19.97 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 144.43/19.97 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xy ) = ( Xu ) ) ))). 144.43/19.97 thf('12', plain, 144.43/19.97 (( setukpairinjR ) = 144.43/19.97 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 144.43/19.97 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 144.43/19.97 ( ( X6 ) = ( X10 ) ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.97 thf(setukpairinjR2, axiom, setukpairinjR2 = 144.43/19.97 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 144.43/19.97 ( ( ( setadjoin @ 144.43/19.97 ( setadjoin @ Xx @ emptyset ) @ 144.43/19.97 ( setadjoin @ 144.43/19.97 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) = 144.43/19.97 ( setadjoin @ 144.43/19.97 ( setadjoin @ Xz @ emptyset ) @ 144.43/19.97 ( setadjoin @ 144.43/19.97 ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) ) => 144.43/19.97 ( ( Xy ) = ( Xu ) ) ))). 144.43/19.97 thf('13', plain, 144.43/19.97 (( setukpairinjR2 ) = 144.43/19.97 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 144.43/19.97 ( ( ( setadjoin @ 144.43/19.97 ( setadjoin @ X4 @ emptyset ) @ 144.43/19.97 ( setadjoin @ 144.43/19.97 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) = 144.43/19.97 ( setadjoin @ 144.43/19.97 ( setadjoin @ X8 @ emptyset ) @ 144.43/19.97 ( setadjoin @ 144.43/19.97 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) => 144.43/19.97 ( ( X6 ) = ( X10 ) ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.97 thf(upairequniteq, axiom, upairequniteq = 144.43/19.97 (![Xx:$i,Xy:$i,Xz:$i]: 144.43/19.97 ( ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) = 144.43/19.97 ( setadjoin @ Xz @ emptyset ) ) => 144.43/19.97 ( ( Xx ) = ( Xy ) ) ))). 144.43/19.97 thf('14', plain, 144.43/19.97 (( upairequniteq ) = 144.43/19.97 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.97 ( ( ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) = 144.43/19.97 ( setadjoin @ X8 @ emptyset ) ) => 144.43/19.97 ( ( X4 ) = ( X6 ) ) ) )), 144.43/19.97 define([status(thm)])). 144.43/19.98 thf(setukpairinjR1, axiom, setukpairinjR1 = 144.43/19.98 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 144.43/19.98 ( ( ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) = 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xz @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) ) => 144.43/19.98 ( ( ( Xz ) = ( Xu ) ) => ( ( Xy ) = ( Xu ) ) ) ))). 144.43/19.98 thf('15', plain, 144.43/19.98 (( setukpairinjR1 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 144.43/19.98 ( ( ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) = 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X8 @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) => 144.43/19.98 ( ( ( X8 ) = ( X10 ) ) => ( ( X6 ) = ( X10 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setukpairinjR12, axiom, setukpairinjR12 = 144.43/19.98 (![Xx:$i,Xy:$i]: 144.43/19.98 ( ( ( Xx ) = ( Xy ) ) => 144.43/19.98 ( ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) = 144.43/19.98 ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ emptyset ) ) ))). 144.43/19.98 thf('16', plain, 144.43/19.98 (( setukpairinjR12 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ( X4 ) = ( X6 ) ) => 144.43/19.98 ( ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) = 144.43/19.98 ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ emptyset ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setukpairinjR11, axiom, setukpairinjR11 = 144.43/19.98 (![Xx:$i,Xy:$i]: 144.43/19.98 ( ( ( Xx ) = ( Xy ) ) => 144.43/19.98 ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) = 144.43/19.98 ( setadjoin @ Xx @ emptyset ) ) ))). 144.43/19.98 thf('17', plain, 144.43/19.98 (( setukpairinjR11 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ( X4 ) = ( X6 ) ) => 144.43/19.98 ( ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) = 144.43/19.98 ( setadjoin @ X4 @ emptyset ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setukpairinjL, axiom, setukpairinjL = 144.43/19.98 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 144.43/19.98 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xx ) = ( Xz ) ) ))). 144.43/19.98 thf('18', plain, 144.43/19.98 (( setukpairinjL ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 144.43/19.98 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 144.43/19.98 ( ( X4 ) = ( X8 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setukpairinjL2, axiom, setukpairinjL2 = 144.43/19.98 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 144.43/19.98 ( ( ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) = 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xz @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) ) => 144.43/19.98 ( ( Xx ) = ( Xz ) ) ))). 144.43/19.98 thf('19', plain, 144.43/19.98 (( setukpairinjL2 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 144.43/19.98 ( ( ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) = 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X8 @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) => 144.43/19.98 ( ( X4 ) = ( X8 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(cartprodfstin, axiom, cartprodfstin = 144.43/19.98 (![A:$i,B:$i,Xu:$i]: 144.43/19.98 ( ( in @ Xu @ ( cartprod @ A @ B ) ) => ( in @ ( kfst @ Xu ) @ A ) ))). 144.43/19.98 thf('20', plain, 144.43/19.98 (( cartprodfstin ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ ( cartprod @ X4 @ X6 ) ) => ( in @ ( kfst @ X8 ) @ X4 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(kfstpairEq, axiom, kfstpairEq = 144.43/19.98 (![Xx:$i,Xy:$i]: ( ( kfst @ ( kpair @ Xx @ Xy ) ) = ( Xx ) ))). 144.43/19.98 thf('21', plain, 144.43/19.98 (( kfstpairEq ) = 144.43/19.98 ( ![X4:$i,X6:$i]: ( ( kfst @ ( kpair @ X4 @ X6 ) ) = ( X4 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(theprop, axiom, theprop = 144.43/19.98 (![X:$i]: ( ( singleton @ X ) => ( in @ ( setunion @ X ) @ X ) ))). 144.43/19.98 thf('22', plain, 144.43/19.98 (( theprop ) = 144.43/19.98 ( ![X4:$i]: ( ( singleton @ X4 ) => ( in @ ( setunion @ X4 ) @ X4 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(kfstsingleton, axiom, kfstsingleton = 144.43/19.98 (![Xu:$i]: 144.43/19.98 ( ( iskpair @ Xu ) => 144.43/19.98 ( singleton @ 144.43/19.98 ( dsetconstr @ 144.43/19.98 ( setunion @ Xu ) @ 144.43/19.98 ( ^[Xx:$i]: ( in @ ( setadjoin @ Xx @ emptyset ) @ Xu ) ) ) ) ))). 144.43/19.98 thf('23', plain, 144.43/19.98 (( kfstsingleton ) = 144.43/19.98 ( ![X4:$i]: 144.43/19.98 ( ( iskpair @ X4 ) => 144.43/19.98 ( singleton @ 144.43/19.98 ( dsetconstr @ 144.43/19.98 ( setunion @ X4 ) @ 144.43/19.98 ( ^[V_1:$i]: ( in @ ( setadjoin @ V_1 @ emptyset ) @ X4 ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setukpairinjL1, axiom, setukpairinjL1 = 144.43/19.98 (![Xx:$i,Xy:$i,Xz:$i]: 144.43/19.98 ( ( in @ 144.43/19.98 ( setadjoin @ Xz @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) => 144.43/19.98 ( ( Xx ) = ( Xz ) ) ))). 144.43/19.98 thf('24', plain, 144.43/19.98 (( setukpairinjL1 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ 144.43/19.98 ( setadjoin @ X8 @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) => 144.43/19.98 ( ( X4 ) = ( X8 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(singletonsuniq, axiom, singletonsuniq = 144.43/19.98 (![Xx:$i,Xy:$i]: 144.43/19.98 ( ( ( setadjoin @ Xx @ emptyset ) = ( setadjoin @ Xy @ emptyset ) ) => 144.43/19.98 ( ( Xx ) = ( Xy ) ) ))). 144.43/19.98 thf('25', plain, 144.43/19.98 (( singletonsuniq ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ( setadjoin @ X4 @ emptyset ) = ( setadjoin @ X6 @ emptyset ) ) => 144.43/19.98 ( ( X4 ) = ( X6 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(ex1I2, axiom, ex1I2 = 144.43/19.98 (![A:$i,Xphi:( $i > $o )]: 144.43/19.98 ( ( ![Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ![Xy:$i]: 144.43/19.98 ( ( in @ Xy @ A ) => 144.43/19.98 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ) ) ) => 144.43/19.98 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 144.43/19.98 ( ex1 @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 144.43/19.98 thf('26', plain, 144.43/19.98 (( ex1I2 ) = 144.43/19.98 ( ![X4:$i,X6:( $i > $o )]: 144.43/19.98 ( ( ![X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ![X10:$i]: 144.43/19.98 ( ( in @ X10 @ X4 ) => 144.43/19.98 ( ( X6 @ X8 ) => ( ( X6 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) ) ) ) => 144.43/19.98 ( ( ?[X12:$i]: ( ( X6 @ X12 ) & ( in @ X12 @ X4 ) ) ) => 144.43/19.98 ( ex1 @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(ex1I, axiom, ex1I = 144.43/19.98 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ( Xphi @ Xx ) => 144.43/19.98 ( ( ![Xy:$i]: 144.43/19.98 ( ( in @ Xy @ A ) => ( ( Xphi @ Xy ) => ( ( Xy ) = ( Xx ) ) ) ) ) => 144.43/19.98 ( ex1 @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 144.43/19.98 thf('27', plain, 144.43/19.98 (( ex1I ) = 144.43/19.98 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ( X6 @ X8 ) => 144.43/19.98 ( ( ![X10:$i]: 144.43/19.98 ( ( in @ X10 @ X4 ) => 144.43/19.98 ( ( X6 @ X10 ) => ( ( X10 ) = ( X8 ) ) ) ) ) => 144.43/19.98 ( ex1 @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(ex1E1, axiom, ex1E1 = 144.43/19.98 (![A:$i,Xphi:( $i > $o )]: 144.43/19.98 ( ( ex1 @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 144.43/19.98 ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ))). 144.43/19.98 thf('28', plain, 144.43/19.98 (( ex1E1 ) = 144.43/19.98 ( ![X4:$i,X6:( $i > $o )]: 144.43/19.98 ( ( ex1 @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) => 144.43/19.98 ( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(ex1, axiom,(( ex1 ) = 144.43/19.98 (^[A:$i,Xphi:( $i > $o )]: 144.43/19.98 ( singleton @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) )))). 144.43/19.98 thf(singleton, axiom,(( singleton ) = 144.43/19.98 (^[A:$i]: 144.43/19.98 ( ?[Xx:$i]: 144.43/19.98 ( ( ( A ) = ( setadjoin @ Xx @ emptyset ) ) & ( in @ Xx @ A ) ) )))). 144.43/19.98 thf('29', plain, 144.43/19.98 (( singleton ) = 144.43/19.98 ( ^[A:$i]: 144.43/19.98 ( ?[Xx:$i]: 144.43/19.98 ( ( ( A ) = ( setadjoin @ Xx @ emptyset ) ) & ( in @ Xx @ A ) ) ) )), 144.43/19.98 inference('simplify_rw_rule', [status(thm)], [singleton])). 144.43/19.98 thf('30', plain, 144.43/19.98 (( singleton ) = 144.43/19.98 ( ^[V_1:$i]: 144.43/19.98 ( ?[X4:$i]: 144.43/19.98 ( ( ( V_1 ) = ( setadjoin @ X4 @ emptyset ) ) & ( in @ X4 @ V_1 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf('31', plain, 144.43/19.98 (( ex1 ) = 144.43/19.98 ( ^[A:$i,Xphi:( $i > $o )]: 144.43/19.98 ( singleton @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) )), 144.43/19.98 inference('simplify_rw_rule', [status(thm)], [ex1, '30'])). 144.43/19.98 thf('32', plain, 144.43/19.98 (( ex1 ) = 144.43/19.98 ( ^[V_1:$i,V_2:( $i > $o )]: 144.43/19.98 ( singleton @ ( dsetconstr @ V_1 @ ( ^[V_3:$i]: ( V_2 @ V_3 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(singletonprop, axiom, singletonprop = 144.43/19.98 (![A:$i,Xphi:( $i > $o )]: 144.43/19.98 ( ( ![Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ![Xy:$i]: 144.43/19.98 ( ( in @ Xy @ A ) => 144.43/19.98 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ) ) ) => 144.43/19.98 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 144.43/19.98 ( singleton @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ) ))). 144.43/19.98 thf('33', plain, 144.43/19.98 (( singletonprop ) = 144.43/19.98 ( ![X4:$i,X6:( $i > $o )]: 144.43/19.98 ( ( ![X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ![X10:$i]: 144.43/19.98 ( ( in @ X10 @ X4 ) => 144.43/19.98 ( ( X6 @ X8 ) => ( ( X6 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) ) ) ) => 144.43/19.98 ( ( ?[X12:$i]: ( ( X6 @ X12 ) & ( in @ X12 @ X4 ) ) ) => 144.43/19.98 ( singleton @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setunionsingleton, axiom, setunionsingleton = 144.43/19.98 (![Xx:$i]: ( ( setunion @ ( setadjoin @ Xx @ emptyset ) ) = ( Xx ) ))). 144.43/19.98 thf('34', plain, 144.43/19.98 (( setunionsingleton ) = 144.43/19.98 ( ![X4:$i]: ( ( setunion @ ( setadjoin @ X4 @ emptyset ) ) = ( X4 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setunionsingleton2, axiom, setunionsingleton2 = 144.43/19.98 (![A:$i]: ( subset @ A @ ( setunion @ ( setadjoin @ A @ emptyset ) ) ))). 144.43/19.98 thf('35', plain, 144.43/19.98 (( setunionsingleton2 ) = 144.43/19.98 ( ![X4:$i]: 144.43/19.98 ( subset @ X4 @ ( setunion @ ( setadjoin @ X4 @ emptyset ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setunionsingleton1, axiom, setunionsingleton1 = 144.43/19.98 (![A:$i]: ( subset @ ( setunion @ ( setadjoin @ A @ emptyset ) ) @ A ))). 144.43/19.98 thf('36', plain, 144.43/19.98 (( setunionsingleton1 ) = 144.43/19.98 ( ![X4:$i]: 144.43/19.98 ( subset @ ( setunion @ ( setadjoin @ X4 @ emptyset ) ) @ X4 ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setunionE2, axiom, setunionE2 = 144.43/19.98 (![A:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ ( setunion @ A ) ) => 144.43/19.98 ( ?[X:$i]: ( ( in @ Xx @ X ) & ( in @ X @ A ) ) ) ))). 144.43/19.98 thf('37', plain, 144.43/19.98 (( setunionE2 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( in @ X6 @ ( setunion @ X4 ) ) => 144.43/19.98 ( ?[X8:$i]: ( ( in @ X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(cartprodmempair, axiom, cartprodmempair = 144.43/19.98 (![A:$i,B:$i,Xu:$i]: 144.43/19.98 ( ( in @ Xu @ ( cartprod @ A @ B ) ) => ( iskpair @ Xu ) ))). 144.43/19.98 thf('38', plain, 144.43/19.98 (( cartprodmempair ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ ( cartprod @ X4 @ X6 ) ) => ( iskpair @ X8 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(cartprodmempair1, axiom, cartprodmempair1 = 144.43/19.98 (![A:$i,B:$i,Xu:$i]: 144.43/19.98 ( ( in @ Xu @ ( cartprod @ A @ B ) ) => 144.43/19.98 ( ?[Xx:$i]: 144.43/19.98 ( ( ?[Xy:$i]: ( ( ( Xu ) = ( kpair @ Xx @ Xy ) ) & ( in @ Xy @ B ) ) ) & 144.43/19.98 ( in @ Xx @ A ) ) ) ))). 144.43/19.98 thf('39', plain, 144.43/19.98 (( cartprodmempair1 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ ( cartprod @ X4 @ X6 ) ) => 144.43/19.98 ( ?[X10:$i]: 144.43/19.98 ( ( ?[X12:$i]: 144.43/19.98 ( ( ( X8 ) = ( kpair @ X10 @ X12 ) ) & ( in @ X12 @ X6 ) ) ) & 144.43/19.98 ( in @ X10 @ X4 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(cartprodpairin, axiom, cartprodpairin = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ![Xy:$i]: 144.43/19.98 ( ( in @ Xy @ B ) => 144.43/19.98 ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) ) ) ) ))). 144.43/19.98 thf('40', plain, 144.43/19.98 (( cartprodpairin ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ![X10:$i]: 144.43/19.98 ( ( in @ X10 @ X6 ) => 144.43/19.98 ( in @ ( kpair @ X8 @ X10 ) @ ( cartprod @ X4 @ X6 ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(ubforcartprodlem3, axiom, ubforcartprodlem3 = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ![Xy:$i]: 144.43/19.98 ( ( in @ Xy @ B ) => 144.43/19.98 ( in @ 144.43/19.98 ( kpair @ Xx @ Xy ) @ 144.43/19.98 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 144.43/19.98 thf('41', plain, 144.43/19.98 (( ubforcartprodlem3 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ![X10:$i]: 144.43/19.98 ( ( in @ X10 @ X6 ) => 144.43/19.98 ( in @ 144.43/19.98 ( kpair @ X8 @ X10 ) @ 144.43/19.98 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(ubforcartprodlem2, axiom, ubforcartprodlem2 = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ![Xy:$i]: 144.43/19.98 ( ( in @ Xy @ B ) => 144.43/19.98 ( in @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 144.43/19.98 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 144.43/19.98 thf('42', plain, 144.43/19.98 (( ubforcartprodlem2 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ![X10:$i]: 144.43/19.98 ( ( in @ X10 @ X6 ) => 144.43/19.98 ( in @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X8 @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 144.43/19.98 emptyset ) ) @ 144.43/19.98 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(ubforcartprodlem1, axiom, ubforcartprodlem1 = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ![Xy:$i]: 144.43/19.98 ( ( in @ Xy @ B ) => 144.43/19.98 ( subset @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 144.43/19.98 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 144.43/19.98 thf('43', plain, 144.43/19.98 (( ubforcartprodlem1 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ![X10:$i]: 144.43/19.98 ( ( in @ X10 @ X6 ) => 144.43/19.98 ( subset @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X8 @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 144.43/19.98 emptyset ) ) @ 144.43/19.98 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(upairinpowunion, axiom, upairinpowunion = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ![Xy:$i]: 144.43/19.98 ( ( in @ Xy @ B ) => 144.43/19.98 ( in @ 144.43/19.98 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 144.43/19.98 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 144.43/19.98 thf('44', plain, 144.43/19.98 (( upairinpowunion ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ![X10:$i]: 144.43/19.98 ( ( in @ X10 @ X6 ) => 144.43/19.98 ( in @ 144.43/19.98 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 144.43/19.98 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(upairsubunion, axiom, upairsubunion = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ![Xy:$i]: 144.43/19.98 ( ( in @ Xy @ B ) => 144.43/19.98 ( subset @ 144.43/19.98 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 144.43/19.98 ( binunion @ A @ B ) ) ) ) ))). 144.43/19.98 thf('45', plain, 144.43/19.98 (( upairsubunion ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ![X10:$i]: 144.43/19.98 ( ( in @ X10 @ X6 ) => 144.43/19.98 ( subset @ 144.43/19.98 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 144.43/19.98 ( binunion @ X4 @ X6 ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(upairset2E, axiom, upairset2E = 144.43/19.98 (![Xx:$i,Xy:$i,Xz:$i]: 144.43/19.98 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 144.43/19.98 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 144.43/19.98 thf('46', plain, 144.43/19.98 (( upairset2E ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 144.43/19.98 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(singletoninpowunion, axiom, singletoninpowunion = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( in @ 144.43/19.98 ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ))). 144.43/19.98 thf('47', plain, 144.43/19.98 (( singletoninpowunion ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( in @ 144.43/19.98 ( setadjoin @ X8 @ emptyset ) @ 144.43/19.98 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(singletoninpowerset, axiom, singletoninpowerset = 144.43/19.98 (![A:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ))). 144.43/19.98 thf('48', plain, 144.43/19.98 (( singletoninpowerset ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( in @ X6 @ X4 ) => 144.43/19.98 ( in @ ( setadjoin @ X6 @ emptyset ) @ ( powerset @ X4 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(singletonsubset, axiom, singletonsubset = 144.43/19.98 (![A:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ))). 144.43/19.98 thf('49', plain, 144.43/19.98 (( singletonsubset ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( in @ X6 @ X4 ) => ( subset @ ( setadjoin @ X6 @ emptyset ) @ X4 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(kpairp, axiom, kpairp = 144.43/19.98 (![Xx:$i,Xy:$i]: ( iskpair @ ( kpair @ Xx @ Xy ) ))). 144.43/19.98 thf('50', plain, 144.43/19.98 (( kpairp ) = ( ![X4:$i,X6:$i]: ( iskpair @ ( kpair @ X4 @ X6 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(kpairiskpair, axiom, kpairiskpair = 144.43/19.98 (![Xx:$i,Xy:$i]: 144.43/19.98 ( iskpair @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ))). 144.43/19.98 thf('51', plain, 144.43/19.98 (( kpairiskpair ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( iskpair @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setukpairIR, axiom, setukpairIR = 144.43/19.98 (![Xx:$i,Xy:$i]: 144.43/19.98 ( in @ 144.43/19.98 Xy @ 144.43/19.98 ( setunion @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ))). 144.43/19.98 thf('52', plain, 144.43/19.98 (( setukpairIR ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( in @ 144.43/19.98 X6 @ 144.43/19.98 ( setunion @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setukpairIL, axiom, setukpairIL = 144.43/19.98 (![Xx:$i,Xy:$i]: 144.43/19.98 ( in @ 144.43/19.98 Xx @ 144.43/19.98 ( setunion @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ))). 144.43/19.98 thf('53', plain, 144.43/19.98 (( setukpairIL ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( in @ 144.43/19.98 X4 @ 144.43/19.98 ( setunion @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ emptyset ) @ 144.43/19.98 ( setadjoin @ 144.43/19.98 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(secondinupair, axiom, secondinupair = 144.43/19.98 (![Xx:$i,Xy:$i]: 144.43/19.98 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 144.43/19.98 thf('54', plain, 144.43/19.98 (( secondinupair ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(symdiffIneg2, axiom, symdiffIneg2 = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( ~( in @ Xx @ A ) ) => 144.43/19.98 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ))). 144.43/19.98 thf('55', plain, 144.43/19.98 (( symdiffIneg2 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( ~( in @ X8 @ X4 ) ) => 144.43/19.98 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(symdiffIneg1, axiom, symdiffIneg1 = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ))). 144.43/19.98 thf('56', plain, 144.43/19.98 (( symdiffIneg1 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(symdiffI2, axiom, symdiffI2 = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( ~( in @ Xx @ A ) ) => 144.43/19.98 ( ( in @ Xx @ B ) => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ))). 144.43/19.98 thf('57', plain, 144.43/19.98 (( symdiffI2 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( ~( in @ X8 @ X4 ) ) => 144.43/19.98 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(symdiffI1, axiom, symdiffI1 = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ))). 144.43/19.98 thf('58', plain, 144.43/19.98 (( symdiffI1 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(symdiffE, axiom, symdiffE = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ ( symdiff @ A @ B ) ) => 144.43/19.98 ( ![Xphi:$o]: 144.43/19.98 ( ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( Xphi ) ) ) => 144.43/19.98 ( ( ( ~( in @ Xx @ A ) ) => ( ( in @ Xx @ B ) => ( Xphi ) ) ) => 144.43/19.98 ( Xphi ) ) ) ) ))). 144.43/19.98 thf('59', plain, 144.43/19.98 (( symdiffE ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ ( symdiff @ X4 @ X6 ) ) => 144.43/19.98 ( ![X10:$o]: 144.43/19.98 ( ( ( in @ X8 @ X4 ) => ( ( ~( in @ X8 @ X6 ) ) => ( X10 ) ) ) => 144.43/19.98 ( ( ( ~( in @ X8 @ X4 ) ) => ( ( in @ X8 @ X6 ) => ( X10 ) ) ) => 144.43/19.98 ( X10 ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setminusSubset1, axiom, setminusSubset1 = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( ( setminus @ A @ B ) = ( emptyset ) ) => ( subset @ A @ B ) ))). 144.43/19.98 thf('60', plain, 144.43/19.98 (( setminusSubset1 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) => ( subset @ X4 @ X6 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setminusLsub, axiom, setminusLsub = 144.43/19.98 (![A:$i,B:$i]: ( subset @ ( setminus @ A @ B ) @ A ))). 144.43/19.98 thf('61', plain, 144.43/19.98 (( setminusLsub ) = 144.43/19.98 ( ![X4:$i,X6:$i]: ( subset @ ( setminus @ X4 @ X6 ) @ X4 ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setminusIRneg, axiom, setminusIRneg = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 144.43/19.98 thf('62', plain, 144.43/19.98 (( setminusIRneg ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setminusILneg, axiom, setminusILneg = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( ~( in @ Xx @ A ) ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 144.43/19.98 thf('63', plain, 144.43/19.98 (( setminusILneg ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( ~( in @ X8 @ X4 ) ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setminusELneg, axiom, setminusELneg = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 144.43/19.98 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 144.43/19.98 thf('64', plain, 144.43/19.98 (( setminusELneg ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 144.43/19.98 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setminusERneg, axiom, setminusERneg = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 144.43/19.98 ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 144.43/19.98 thf('65', plain, 144.43/19.98 (( setminusERneg ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 144.43/19.98 ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setminusSubset2, axiom, setminusSubset2 = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( subset @ A @ B ) => ( ( setminus @ A @ B ) = ( emptyset ) ) ))). 144.43/19.98 thf('66', plain, 144.43/19.98 (( setminusSubset2 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( subset @ X4 @ X6 ) => ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setminusER, axiom, setminusER = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( ~( in @ Xx @ B ) ) ))). 144.43/19.98 thf('67', plain, 144.43/19.98 (( setminusER ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( ~( in @ X8 @ X6 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setminusEL, axiom, setminusEL = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))). 144.43/19.98 thf('68', plain, 144.43/19.98 (( setminusEL ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setminusI, axiom, setminusI = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 144.43/19.98 thf('69', plain, 144.43/19.98 (( setminusI ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(bs114d, axiom, bs114d = 144.43/19.98 (![A:$i,B:$i,C:$i]: 144.43/19.98 ( ( binintersect @ A @ ( binunion @ B @ C ) ) = 144.43/19.98 ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ))). 144.43/19.98 thf('70', plain, 144.43/19.98 (( bs114d ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( binintersect @ X4 @ ( binunion @ X6 @ X8 ) ) = 144.43/19.98 ( binunion @ ( binintersect @ X4 @ X6 ) @ ( binintersect @ X4 @ X8 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binintersectSubset1, axiom, binintersectSubset1 = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( ( binintersect @ A @ B ) = ( A ) ) => ( subset @ A @ B ) ))). 144.43/19.98 thf('71', plain, 144.43/19.98 (( binintersectSubset1 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) => ( subset @ X4 @ X6 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binintersectSubset4, axiom, binintersectSubset4 = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( subset @ B @ A ) => ( ( binintersect @ A @ B ) = ( B ) ) ))). 144.43/19.98 thf('72', plain, 144.43/19.98 (( binintersectSubset4 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( subset @ X6 @ X4 ) => ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binintersectRsub, axiom, binintersectRsub = 144.43/19.98 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ B ))). 144.43/19.98 thf('73', plain, 144.43/19.98 (( binintersectRsub ) = 144.43/19.98 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X6 ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(disjointsetsI1, axiom, disjointsetsI1 = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ B ) & ( in @ Xx @ A ) ) ) ) => 144.43/19.98 ( ( binintersect @ A @ B ) = ( emptyset ) ) ))). 144.43/19.98 thf('74', plain, 144.43/19.98 (( disjointsetsI1 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ~( ?[X8:$i]: ( ( in @ X8 @ X6 ) & ( in @ X8 @ X4 ) ) ) ) => 144.43/19.98 ( ( binintersect @ X4 @ X6 ) = ( emptyset ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binintersectER, axiom, binintersectER = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ B ) ))). 144.43/19.98 thf('75', plain, 144.43/19.98 (( binintersectER ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X6 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binintersectSubset3, axiom, binintersectSubset3 = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( ( binintersect @ A @ B ) = ( B ) ) => ( subset @ B @ A ) ))). 144.43/19.98 thf('76', plain, 144.43/19.98 (( binintersectSubset3 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binintersectSubset2, axiom, binintersectSubset2 = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( subset @ A @ B ) => ( ( binintersect @ A @ B ) = ( A ) ) ))). 144.43/19.98 thf('77', plain, 144.43/19.98 (( binintersectSubset2 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( subset @ X4 @ X6 ) => ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binintersectLsub, axiom, binintersectLsub = 144.43/19.98 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ A ))). 144.43/19.98 thf('78', plain, 144.43/19.98 (( binintersectLsub ) = 144.43/19.98 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binintersectEL, axiom, binintersectEL = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ A ) ))). 144.43/19.98 thf('79', plain, 144.43/19.98 (( binintersectEL ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binintersectSubset5, axiom, binintersectSubset5 = 144.43/19.98 (![A:$i,B:$i,C:$i]: 144.43/19.98 ( ( subset @ C @ A ) => 144.43/19.98 ( ( subset @ C @ B ) => ( subset @ C @ ( binintersect @ A @ B ) ) ) ))). 144.43/19.98 thf('80', plain, 144.43/19.98 (( binintersectSubset5 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( subset @ X8 @ X4 ) => 144.43/19.98 ( ( subset @ X8 @ X6 ) => 144.43/19.98 ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binintersectI, axiom, binintersectI = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))). 144.43/19.98 thf('81', plain, 144.43/19.98 (( binintersectI ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binunionRsub, axiom, binunionRsub = 144.43/19.98 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 144.43/19.98 thf('82', plain, 144.43/19.98 (( binunionRsub ) = 144.43/19.98 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binunionLsub, axiom, binunionLsub = 144.43/19.98 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 144.43/19.98 thf('83', plain, 144.43/19.98 (( binunionLsub ) = 144.43/19.98 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binunionE, axiom, binunionE = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 144.43/19.98 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 144.43/19.98 thf('84', plain, 144.43/19.98 (( binunionE ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 144.43/19.98 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binunionEcases, axiom, binunionEcases = 144.43/19.98 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 144.43/19.98 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 144.43/19.98 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 144.43/19.98 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 144.43/19.98 thf('85', plain, 144.43/19.98 (( binunionEcases ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 144.43/19.98 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 144.43/19.98 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 144.43/19.98 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binunionIR, axiom, binunionIR = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 144.43/19.98 thf('86', plain, 144.43/19.98 (( binunionIR ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(upairset2IR, axiom, upairset2IR = 144.43/19.98 (![Xx:$i,Xy:$i]: 144.43/19.98 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 144.43/19.98 thf('87', plain, 144.43/19.98 (( upairset2IR ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(binunionIL, axiom, binunionIL = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 144.43/19.98 thf('88', plain, 144.43/19.98 (( binunionIL ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(sepSubset, axiom, sepSubset = 144.43/19.98 (![A:$i,Xphi:( $i > $o )]: 144.43/19.98 ( subset @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ A ))). 144.43/19.98 thf('89', plain, 144.43/19.98 (( sepSubset ) = 144.43/19.98 ( ![X4:$i,X6:( $i > $o )]: 144.43/19.98 ( subset @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ X4 ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(sepInPowerset, axiom, sepInPowerset = 144.43/19.98 (![A:$i,Xphi:( $i > $o )]: 144.43/19.98 ( in @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ ( powerset @ A ) ))). 144.43/19.98 thf('90', plain, 144.43/19.98 (( sepInPowerset ) = 144.43/19.98 ( ![X4:$i,X6:( $i > $o )]: 144.43/19.98 ( in @ 144.43/19.98 ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ 144.43/19.98 ( powerset @ X4 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(powersetsubset, axiom, powersetsubset = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 144.43/19.98 thf('91', plain, 144.43/19.98 (( powersetsubset ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( subset @ X4 @ X6 ) => 144.43/19.98 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 144.43/19.98 thf('92', plain, 144.43/19.98 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(powersetE1, axiom, powersetE1 = 144.43/19.98 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 144.43/19.98 thf('93', plain, 144.43/19.98 (( powersetE1 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(powersetI1, axiom, powersetI1 = 144.43/19.98 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 144.43/19.98 thf('94', plain, 144.43/19.98 (( powersetI1 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 144.43/19.98 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 144.43/19.98 thf('95', plain, 144.43/19.98 (( subsetemptysetimpeq ) = 144.43/19.98 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setextsub, axiom, setextsub = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 144.43/19.98 thf('96', plain, 144.43/19.98 (( setextsub ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( subset @ X4 @ X6 ) => 144.43/19.98 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(subset2powerset, axiom, subset2powerset = 144.43/19.98 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 144.43/19.98 thf('97', plain, 144.43/19.98 (( subset2powerset ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setadjoinSub2, axiom, setadjoinSub2 = 144.43/19.98 (![A:$i,Xx:$i,B:$i]: 144.43/19.98 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 144.43/19.98 thf('98', plain, 144.43/19.98 (( setadjoinSub2 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setadjoinSub, axiom, setadjoinSub = 144.43/19.98 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 144.43/19.98 thf('99', plain, 144.43/19.98 (( setadjoinSub ) = 144.43/19.98 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(subsetTrans, axiom, subsetTrans = 144.43/19.98 (![A:$i,B:$i,C:$i]: 144.43/19.98 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 144.43/19.98 thf('100', plain, 144.43/19.98 (( subsetTrans ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( subset @ X4 @ X6 ) => 144.43/19.98 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 144.43/19.98 thf('101', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(notequalI2, axiom, notequalI2 = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))). 144.43/19.98 thf('102', plain, 144.43/19.98 (( notequalI2 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(notequalI1, axiom, notequalI1 = 144.43/19.98 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 144.43/19.98 thf('103', plain, 144.43/19.98 (( notequalI1 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(notsubsetI, axiom, notsubsetI = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 144.43/19.98 thf('104', plain, 144.43/19.98 (( notsubsetI ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( in @ X8 @ X4 ) => 144.43/19.98 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(subsetE2, axiom, subsetE2 = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 144.43/19.98 thf('105', plain, 144.43/19.98 (( subsetE2 ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( subset @ X4 @ X6 ) => 144.43/19.98 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(subsetE, axiom, subsetE = 144.43/19.98 (![A:$i,B:$i,Xx:$i]: 144.43/19.98 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 144.43/19.98 thf('106', plain, 144.43/19.98 (( subsetE ) = 144.43/19.98 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.98 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(emptysetsubset, axiom, emptysetsubset = 144.43/19.98 (![A:$i]: ( subset @ emptyset @ A ))). 144.43/19.98 thf('107', plain, 144.43/19.98 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(subsetI2, axiom, subsetI2 = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 144.43/19.98 ( subset @ A @ B ) ))). 144.43/19.98 thf('108', plain, 144.43/19.98 (( subsetI2 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 144.43/19.98 ( subset @ X4 @ X6 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(eqimpsubset1, axiom, eqimpsubset1 = 144.43/19.98 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 144.43/19.98 thf('109', plain, 144.43/19.98 (( eqimpsubset1 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(eqimpsubset2, axiom, eqimpsubset2 = 144.43/19.98 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 144.43/19.98 thf('110', plain, 144.43/19.98 (( eqimpsubset2 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(subsetI1, axiom, subsetI1 = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 144.43/19.98 ( subset @ A @ B ) ))). 144.43/19.98 thf('111', plain, 144.43/19.98 (( subsetI1 ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 144.43/19.98 ( subset @ X4 @ X6 ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(dsetconstr__Cong, axiom, dsetconstr__Cong = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( ( A ) = ( B ) ) => 144.43/19.98 ( ![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 144.43/19.98 ( ( ![Xx:$i]: 144.43/19.98 ( ( in @ Xx @ A ) => 144.43/19.98 ( ![Xy:$i]: 144.43/19.98 ( ( in @ Xy @ B ) => 144.43/19.98 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) ) ) ) => 144.43/19.98 ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 144.43/19.98 ( dsetconstr @ B @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 144.43/19.98 thf('112', plain, 144.43/19.98 (( dsetconstr__Cong ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ( X4 ) = ( X6 ) ) => 144.43/19.98 ( ![X8:( $i > $o ),X10:( $i > $o )]: 144.43/19.98 ( ( ![X12:$i]: 144.43/19.98 ( ( in @ X12 @ X4 ) => 144.43/19.98 ( ![X14:$i]: 144.43/19.98 ( ( in @ X14 @ X6 ) => 144.43/19.98 ( ( ( X12 ) = ( X14 ) ) => 144.43/19.98 ( ( X8 @ X12 ) <=> ( X10 @ X14 ) ) ) ) ) ) ) => 144.43/19.98 ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) = 144.43/19.98 ( dsetconstr @ X6 @ ( ^[V_2:$i]: ( X10 @ V_2 ) ) ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(descr__Cong, axiom, descr__Cong = 144.43/19.98 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 144.43/19.98 ( ( ![Xx:$i,Xy:$i]: 144.43/19.98 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 144.43/19.98 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 144.43/19.98 ( ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) => 144.43/19.98 ( ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 144.43/19.98 ( descr @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 144.43/19.98 thf('113', plain, 144.43/19.98 (( descr__Cong ) = 144.43/19.98 ( ![X4:( $i > $o ),X6:( $i > $o )]: 144.43/19.98 ( ( ![X8:$i,X10:$i]: 144.43/19.98 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 144.43/19.98 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 144.43/19.98 ( ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) => 144.43/19.98 ( ( descr @ ( ^[V_3:$i]: ( X4 @ V_3 ) ) ) = 144.43/19.98 ( descr @ ( ^[V_4:$i]: ( X6 @ V_4 ) ) ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(exuEu, axiom, exuEu = 144.43/19.98 (![Xphi:( $i > $o )]: 144.43/19.98 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 144.43/19.98 ( ![Xx:$i,Xy:$i]: 144.43/19.98 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 144.43/19.98 thf('114', plain, 144.43/19.98 (( exuEu ) = 144.43/19.98 ( ![X4:( $i > $o )]: 144.43/19.98 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 144.43/19.98 ( ![X6:$i,X8:$i]: 144.43/19.98 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(omega__Cong, axiom, omega__Cong = (( omega ) = ( omega ))). 144.43/19.98 thf('115', plain, (( omega__Cong ) = ( ( omega ) = ( omega ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setunion__Cong, axiom, setunion__Cong = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( ( A ) = ( B ) ) => ( ( setunion @ A ) = ( setunion @ B ) ) ))). 144.43/19.98 thf('116', plain, 144.43/19.98 (( setunion__Cong ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ( X4 ) = ( X6 ) ) => ( ( setunion @ X4 ) = ( setunion @ X6 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(powerset__Cong, axiom, powerset__Cong = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 144.43/19.98 thf('117', plain, 144.43/19.98 (( powerset__Cong ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(setadjoin__Cong, axiom, setadjoin__Cong = 144.43/19.98 (![Xx:$i,Xy:$i]: 144.43/19.98 ( ( ( Xx ) = ( Xy ) ) => 144.43/19.98 ( ![Xz:$i,Xu:$i]: 144.43/19.98 ( ( ( Xz ) = ( Xu ) ) => 144.43/19.98 ( ( setadjoin @ Xx @ Xz ) = ( setadjoin @ Xy @ Xu ) ) ) ) ))). 144.43/19.98 thf('118', plain, 144.43/19.98 (( setadjoin__Cong ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ( X4 ) = ( X6 ) ) => 144.43/19.98 ( ![X8:$i,X10:$i]: 144.43/19.98 ( ( ( X8 ) = ( X10 ) ) => 144.43/19.98 ( ( setadjoin @ X4 @ X8 ) = ( setadjoin @ X6 @ X10 ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(emptyset__Cong, axiom, emptyset__Cong = (( emptyset ) = ( emptyset ))). 144.43/19.98 thf('119', plain, (( emptyset__Cong ) = ( ( emptyset ) = ( emptyset ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(exu__Cong, axiom, exu__Cong = 144.43/19.98 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 144.43/19.98 ( ( ![Xx:$i,Xy:$i]: 144.43/19.98 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 144.43/19.98 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) <=> 144.43/19.98 ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ))). 144.43/19.98 thf('120', plain, 144.43/19.98 (( exu__Cong ) = 144.43/19.98 ( ![X4:( $i > $o ),X6:( $i > $o )]: 144.43/19.98 ( ( ![X8:$i,X10:$i]: 144.43/19.98 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 144.43/19.98 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) <=> 144.43/19.98 ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(exuE3u, axiom, exuE3u = 144.43/19.98 (![Xphi:( $i > $o )]: 144.43/19.98 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 144.43/19.98 ( ![Xx:$i,Xy:$i]: 144.43/19.98 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 144.43/19.98 thf('121', plain, 144.43/19.98 (( exuE3u ) = 144.43/19.98 ( ![X4:( $i > $o )]: 144.43/19.98 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 144.43/19.98 ( ![X6:$i,X8:$i]: 144.43/19.98 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(in__Cong, axiom, in__Cong = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( ( A ) = ( B ) ) => 144.43/19.98 ( ![Xx:$i,Xy:$i]: 144.43/19.98 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))). 144.43/19.98 thf('122', plain, 144.43/19.98 (( in__Cong ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ( X4 ) = ( X6 ) ) => 144.43/19.98 ( ![X8:$i,X10:$i]: 144.43/19.98 ( ( ( X8 ) = ( X10 ) ) => 144.43/19.98 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(inCongP, axiom, inCongP = 144.43/19.98 (![A:$i,B:$i]: 144.43/19.98 ( ( ( A ) = ( B ) ) => 144.43/19.98 ( ![Xx:$i,Xy:$i]: 144.43/19.98 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))). 144.43/19.98 thf('123', plain, 144.43/19.98 (( inCongP ) = 144.43/19.98 ( ![X4:$i,X6:$i]: 144.43/19.98 ( ( ( X4 ) = ( X6 ) ) => 144.43/19.98 ( ![X8:$i,X10:$i]: 144.43/19.98 ( ( ( X8 ) = ( X10 ) ) => 144.43/19.98 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(exuI2, axiom, exuI2 = 144.43/19.98 (![Xphi:( $i > $o )]: 144.43/19.98 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) => 144.43/19.98 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 144.43/19.98 thf('124', plain, 144.43/19.98 (( exuI2 ) = 144.43/19.98 ( ![X4:( $i > $o )]: 144.43/19.98 ( ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) => 144.43/19.98 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(exuI3, axiom, exuI3 = 144.43/19.98 (![Xphi:( $i > $o )]: 144.43/19.98 ( ( ?[Xx:$i]: ( Xphi @ Xx ) ) => 144.43/19.98 ( ( ![Xx:$i,Xy:$i]: 144.43/19.98 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) => 144.43/19.98 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 144.43/19.98 thf('125', plain, 144.43/19.98 (( exuI3 ) = 144.43/19.98 ( ![X4:( $i > $o )]: 144.43/19.98 ( ( ?[X6:$i]: ( X4 @ X6 ) ) => 144.43/19.98 ( ( ![X8:$i,X10:$i]: 144.43/19.98 ( ( X4 @ X8 ) => ( ( X4 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) => 144.43/19.98 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(exuI1, axiom, exuI1 = 144.43/19.98 (![Xphi:( $i > $o )]: 144.43/19.98 ( ( ?[Xx:$i]: 144.43/19.98 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 144.43/19.98 ( Xphi @ Xx ) ) ) => 144.43/19.98 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 144.43/19.98 thf('126', plain, 144.43/19.98 (( exuI1 ) = 144.43/19.98 ( ![X4:( $i > $o )]: 144.43/19.98 ( ( ?[X6:$i]: 144.43/19.98 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 144.43/19.98 ( X4 @ X6 ) ) ) => 144.43/19.98 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.98 thf(notdallE, axiom, notdallE = 144.43/19.98 (![A:$i,Xphi:( $i > $o )]: 144.43/19.98 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 144.43/19.98 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 144.43/19.98 thf('127', plain, 144.43/19.98 (( notdallE ) = 144.43/19.98 ( ![X4:$i,X6:( $i > $o )]: 144.43/19.98 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 144.43/19.98 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 144.43/19.98 define([status(thm)])). 144.43/19.99 thf(notdexE, axiom, notdexE = 144.43/19.99 (![A:$i,Xphi:( $i > $o )]: 144.43/19.99 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 144.43/19.99 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 144.43/19.99 thf('128', plain, 144.43/19.99 (( notdexE ) = 144.43/19.99 ( ![X4:$i,X6:( $i > $o )]: 144.43/19.99 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 144.43/19.99 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(prop2set2propI, axiom, prop2set2propI = 144.43/19.99 (![Xphi:$o]: ( ( Xphi ) => ( set2prop @ ( prop2set @ Xphi ) ) ))). 144.43/19.99 thf('129', plain, 144.43/19.99 (( prop2set2propI ) = 144.43/19.99 ( ![X4:$o]: ( ( X4 ) => ( set2prop @ ( prop2set @ X4 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(prop2setI, axiom, prop2setI = 144.43/19.99 (![Xphi:$o]: ( ( Xphi ) => ( in @ emptyset @ ( prop2set @ Xphi ) ) ))). 144.43/19.99 thf('130', plain, 144.43/19.99 (( prop2setI ) = 144.43/19.99 ( ![X4:$o]: ( ( X4 ) => ( in @ emptyset @ ( prop2set @ X4 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(quantDeMorgan4, axiom, quantDeMorgan4 = 144.43/19.99 (![A:$i,Xphi:( $i > $o )]: 144.43/19.99 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) => 144.43/19.99 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))). 144.43/19.99 thf('131', plain, 144.43/19.99 (( quantDeMorgan4 ) = 144.43/19.99 ( ![X4:$i,X6:( $i > $o )]: 144.43/19.99 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) => 144.43/19.99 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(quantDeMorgan3, axiom, quantDeMorgan3 = 144.43/19.99 (![A:$i,Xphi:( $i > $o )]: 144.43/19.99 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 144.43/19.99 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 144.43/19.99 thf('132', plain, 144.43/19.99 (( quantDeMorgan3 ) = 144.43/19.99 ( ![X4:$i,X6:( $i > $o )]: 144.43/19.99 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 144.43/19.99 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(quantDeMorgan2, axiom, quantDeMorgan2 = 144.43/19.99 (![A:$i,Xphi:( $i > $o )]: 144.43/19.99 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) => 144.43/19.99 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))). 144.43/19.99 thf('133', plain, 144.43/19.99 (( quantDeMorgan2 ) = 144.43/19.99 ( ![X4:$i,X6:( $i > $o )]: 144.43/19.99 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) => 144.43/19.99 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(quantDeMorgan1, axiom, quantDeMorgan1 = 144.43/19.99 (![A:$i,Xphi:( $i > $o )]: 144.43/19.99 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 144.43/19.99 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 144.43/19.99 thf('134', plain, 144.43/19.99 (( quantDeMorgan1 ) = 144.43/19.99 ( ![X4:$i,X6:( $i > $o )]: 144.43/19.99 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 144.43/19.99 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(vacuousDall, axiom, vacuousDall = 144.43/19.99 (![Xphi:( $i > $o ),Xx:$i]: ( ( in @ Xx @ emptyset ) => ( Xphi @ Xx ) ))). 144.43/19.99 thf('135', plain, 144.43/19.99 (( vacuousDall ) = 144.43/19.99 ( ![X4:( $i > $o ),X6:$i]: ( ( in @ X6 @ emptyset ) => ( X4 @ X6 ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(emptyE1, axiom, emptyE1 = 144.43/19.99 (![A:$i,Xphi:( $i > $o )]: 144.43/19.99 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 144.43/19.99 ( ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = ( emptyset ) ) => 144.43/19.99 ( $false ) ) ))). 144.43/19.99 thf('136', plain, 144.43/19.99 (( emptyE1 ) = 144.43/19.99 ( ![X4:$i,X6:( $i > $o )]: 144.43/19.99 ( ( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) => 144.43/19.99 ( ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) = ( emptyset ) ) => 144.43/19.99 ( $false ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(upairsetIR, axiom, upairsetIR = 144.43/19.99 (![Xx:$i,Xy:$i]: 144.43/19.99 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 144.43/19.99 thf('137', plain, 144.43/19.99 (( upairsetIR ) = 144.43/19.99 ( ![X4:$i,X6:$i]: 144.43/19.99 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(upairsetIL, axiom, upairsetIL = 144.43/19.99 (![Xx:$i,Xy:$i]: 144.43/19.99 ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 144.43/19.99 thf('138', plain, 144.43/19.99 (( upairsetIL ) = 144.43/19.99 ( ![X4:$i,X6:$i]: 144.43/19.99 ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(upairsetE, axiom, upairsetE = 144.43/19.99 (![Xx:$i,Xy:$i,Xz:$i]: 144.43/19.99 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 144.43/19.99 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 144.43/19.99 thf('139', plain, 144.43/19.99 (( upairsetE ) = 144.43/19.99 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.99 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 144.43/19.99 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(singletonsswitch, axiom, singletonsswitch = 144.43/19.99 (![Xx:$i,Xy:$i]: 144.43/19.99 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => 144.43/19.99 ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ))). 144.43/19.99 thf('140', plain, 144.43/19.99 (( singletonsswitch ) = 144.43/19.99 ( ![X4:$i,X6:$i]: 144.43/19.99 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => 144.43/19.99 ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(eqinunit, axiom, eqinunit = 144.43/19.99 (![Xx:$i,Xy:$i]: 144.43/19.99 ( ( ( Xx ) = ( Xy ) ) => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 144.43/19.99 thf('141', plain, 144.43/19.99 (( eqinunit ) = 144.43/19.99 ( ![X4:$i,X6:$i]: 144.43/19.99 ( ( ( X4 ) = ( X6 ) ) => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(notinsingleton, axiom, notinsingleton = 144.43/19.99 (![Xx:$i,Xy:$i]: 144.43/19.99 ( ( ( Xx ) != ( Xy ) ) => ( ~( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ))). 144.43/19.99 thf('142', plain, 144.43/19.99 (( notinsingleton ) = 144.43/19.99 ( ![X4:$i,X6:$i]: 144.43/19.99 ( ( ( X4 ) != ( X6 ) ) => 144.43/19.99 ( ~( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(uniqinunit, axiom, uniqinunit = 144.43/19.99 (![Xx:$i,Xy:$i]: 144.43/19.99 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => ( ( Xx ) = ( Xy ) ) ))). 144.43/19.99 thf('143', plain, 144.43/19.99 (( uniqinunit ) = 144.43/19.99 ( ![X4:$i,X6:$i]: 144.43/19.99 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => ( ( X4 ) = ( X6 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(nonemptyImpWitness, axiom, nonemptyImpWitness = 144.43/19.99 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 144.43/19.99 thf('144', plain, 144.43/19.99 (( nonemptyImpWitness ) = 144.43/19.99 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(exuE2, axiom, exuE2 = 144.43/19.99 (![Xphi:( $i > $o )]: 144.43/19.99 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 144.43/19.99 ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) ))). 144.43/19.99 thf('145', plain, 144.43/19.99 (( exuE2 ) = 144.43/19.99 ( ![X4:( $i > $o )]: 144.43/19.99 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 144.43/19.99 ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(subPowSU, axiom, subPowSU = 144.43/19.99 (![A:$i,Xx:$i]: 144.43/19.99 ( ( in @ Xx @ A ) => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ))). 144.43/19.99 thf('146', plain, 144.43/19.99 (( subPowSU ) = 144.43/19.99 ( ![X4:$i,X6:$i]: 144.43/19.99 ( ( in @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ ( setunion @ X4 ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(setunionE, axiom, setunionE = 144.43/19.99 (![A:$i,Xx:$i]: 144.43/19.99 ( ( in @ Xx @ ( setunion @ A ) ) => 144.43/19.99 ( ![Xphi:$o]: 144.43/19.99 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) => 144.43/19.99 ( Xphi ) ) ) ))). 144.43/19.99 thf('147', plain, 144.43/19.99 (( setunionE ) = 144.43/19.99 ( ![X4:$i,X6:$i]: 144.43/19.99 ( ( in @ X6 @ ( setunion @ X4 ) ) => 144.43/19.99 ( ![X8:$o]: 144.43/19.99 ( ( ![X10:$i]: 144.43/19.99 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) => 144.43/19.99 ( X8 ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(setunionI, axiom, setunionI = 144.43/19.99 (![A:$i,Xx:$i,B:$i]: 144.43/19.99 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))). 144.43/19.99 thf('148', plain, 144.43/19.99 (( setunionI ) = 144.43/19.99 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.99 ( ( in @ X6 @ X8 ) => 144.43/19.99 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(powersetE, axiom, powersetE = 144.43/19.99 (![A:$i,B:$i,Xx:$i]: 144.43/19.99 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 144.43/19.99 thf('149', plain, 144.43/19.99 (( powersetE ) = 144.43/19.99 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.99 ( ( in @ X6 @ ( powerset @ X4 ) ) => 144.43/19.99 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(emptyInPowerset, axiom, emptyInPowerset = 144.43/19.99 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 144.43/19.99 thf('150', plain, 144.43/19.99 (( emptyInPowerset ) = 144.43/19.99 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(emptyinPowerset, axiom, emptyinPowerset = 144.43/19.99 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 144.43/19.99 thf('151', plain, 144.43/19.99 (( emptyinPowerset ) = 144.43/19.99 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(powersetI, axiom, powersetI = 144.43/19.99 (![A:$i,B:$i]: 144.43/19.99 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 144.43/19.99 ( in @ B @ ( powerset @ A ) ) ))). 144.43/19.99 thf('152', plain, 144.43/19.99 (( powersetI ) = 144.43/19.99 ( ![X4:$i,X6:$i]: 144.43/19.99 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 144.43/19.99 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(setoftrueEq, axiom, setoftrueEq = 144.43/19.99 (![A:$i]: ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( $true ) ) ) = ( A ) ))). 144.43/19.99 thf('153', plain, 144.43/19.99 (( setoftrueEq ) = 144.43/19.99 ( ![X4:$i]: ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( $true ) ) ) = ( X4 ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(setadjoinOr, axiom, setadjoinOr = 144.43/19.99 (![Xx:$i,A:$i,Xy:$i]: 144.43/19.99 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 144.43/19.99 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 144.43/19.99 thf('154', plain, 144.43/19.99 (( setadjoinOr ) = 144.43/19.99 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.99 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 144.43/19.99 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(setadjoinE, axiom, setadjoinE = 144.43/19.99 (![Xx:$i,A:$i,Xy:$i]: 144.43/19.99 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 144.43/19.99 ( ![Xphi:$o]: 144.43/19.99 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) => 144.43/19.99 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))). 144.43/19.99 thf('155', plain, 144.43/19.99 (( setadjoinE ) = 144.43/19.99 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.99 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 144.43/19.99 ( ![X10:$o]: 144.43/19.99 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) => 144.43/19.99 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(setadjoinIR, axiom, setadjoinIR = 144.43/19.99 (![Xx:$i,A:$i,Xy:$i]: 144.43/19.99 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))). 144.43/19.99 thf('156', plain, 144.43/19.99 (( setadjoinIR ) = 144.43/19.99 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.99 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(emptyinunitempty, axiom,(( emptyinunitempty ) = 144.43/19.99 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))). 144.43/19.99 thf('157', plain, 144.43/19.99 (( emptyinunitempty ) = 144.43/19.99 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 144.43/19.99 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 144.43/19.99 thf('158', plain, 144.43/19.99 (( emptyinunitempty ) = 144.43/19.99 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(setadjoinIL, axiom, setadjoinIL = 144.43/19.99 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))). 144.43/19.99 thf('159', plain, 144.43/19.99 (( setadjoinIL ) = 144.43/19.99 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(nonemptyI1, axiom, nonemptyI1 = 144.43/19.99 (![A:$i]: ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => ( nonempty @ A ) ))). 144.43/19.99 thf('160', plain, 144.43/19.99 (( nonemptyI1 ) = 144.43/19.99 ( ![X4:$i]: ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => ( nonempty @ X4 ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(nonemptyI, axiom, nonemptyI = 144.43/19.99 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 144.43/19.99 ( ( in @ Xx @ A ) => 144.43/19.99 ( ( Xphi @ Xx ) => 144.43/19.99 ( nonempty @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 144.43/19.99 thf('161', plain, 144.43/19.99 (( nonemptyI ) = 144.43/19.99 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 144.43/19.99 ( ( in @ X8 @ X4 ) => 144.43/19.99 ( ( X6 @ X8 ) => 144.43/19.99 ( nonempty @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(nonemptyE1, axiom, nonemptyE1 = 144.43/19.99 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 144.43/19.99 thf('162', plain, 144.43/19.99 (( nonemptyE1 ) = 144.43/19.99 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(nonempty, axiom,(( nonempty ) = (^[Xx:$i]: ( ( Xx ) != ( emptyset ) )))). 144.43/19.99 thf('163', plain, (( nonempty ) = ( ^[Xx:$i]: ( ( Xx ) != ( emptyset ) ) )), 144.43/19.99 inference('simplify_rw_rule', [status(thm)], [nonempty])). 144.43/19.99 thf('164', plain, 144.43/19.99 (( nonempty ) = ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(setbeta, axiom, setbeta = 144.43/19.99 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 144.43/19.99 ( ( in @ Xx @ A ) => 144.43/19.99 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) <=> 144.43/19.99 ( Xphi @ Xx ) ) ))). 144.43/19.99 thf('165', plain, 144.43/19.99 (( setbeta ) = 144.43/19.99 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 144.43/19.99 ( ( in @ X8 @ X4 ) => 144.43/19.99 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=> 144.43/19.99 ( X6 @ X8 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(noeltsimpempty, axiom, noeltsimpempty = 144.43/19.99 (![A:$i]: 144.43/19.99 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 144.43/19.99 thf('166', plain, 144.43/19.99 (( noeltsimpempty ) = 144.43/19.99 ( ![X4:$i]: 144.43/19.99 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(emptyI, axiom, emptyI = 144.43/19.99 (![A:$i]: 144.43/19.99 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 144.43/19.99 thf('167', plain, 144.43/19.99 (( emptyI ) = 144.43/19.99 ( ![X4:$i]: 144.43/19.99 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(setext, axiom, setext = 144.43/19.99 (![A:$i,B:$i]: 144.43/19.99 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 144.43/19.99 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 144.43/19.99 ( ( A ) = ( B ) ) ) ))). 144.43/19.99 thf('168', plain, 144.43/19.99 (( setext ) = 144.43/19.99 ( ![X4:$i,X6:$i]: 144.43/19.99 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 144.43/19.99 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) => 144.43/19.99 ( ( X4 ) = ( X6 ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(exuE3e, axiom, exuE3e = 144.43/19.99 (![Xphi:( $i > $o )]: 144.43/19.99 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => ( ?[Xx:$i]: ( Xphi @ Xx ) ) ))). 144.43/19.99 thf('169', plain, 144.43/19.99 (( exuE3e ) = 144.43/19.99 ( ![X4:( $i > $o )]: 144.43/19.99 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => ( ?[X6:$i]: ( X4 @ X6 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(notinemptyset, axiom, notinemptyset = 144.43/19.99 (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 144.43/19.99 thf('170', plain, 144.43/19.99 (( notinemptyset ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(emptysetimpfalse, axiom, emptysetimpfalse = 144.43/19.99 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( $false ) ))). 144.43/19.99 thf('171', plain, 144.43/19.99 (( emptysetimpfalse ) = 144.43/19.99 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( $false ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(emptysetE, axiom, emptysetE = 144.43/19.99 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( ![Xphi:$o]: ( Xphi ) ) ))). 144.43/19.99 thf('172', plain, 144.43/19.99 (( emptysetE ) = 144.43/19.99 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( ![X6:$o]: ( X6 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(prop2setE, axiom, prop2setE = 144.43/19.99 (![Xphi:$o,Xx:$i]: ( ( in @ Xx @ ( prop2set @ Xphi ) ) => ( Xphi ) ))). 144.43/19.99 thf('173', plain, 144.43/19.99 (( prop2setE ) = 144.43/19.99 ( ![X4:$o,X6:$i]: ( ( in @ X6 @ ( prop2set @ X4 ) ) => ( X4 ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(exuE1, axiom, exuE1 = 144.43/19.99 (![Xphi:( $i > $o )]: 144.43/19.99 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 144.43/19.99 ( ?[Xx:$i]: 144.43/19.99 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 144.43/19.99 ( Xphi @ Xx ) ) ) ))). 144.43/19.99 thf('174', plain, 144.43/19.99 (( exuE1 ) = 144.43/19.99 ( ![X4:( $i > $o )]: 144.43/19.99 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 144.43/19.99 ( ?[X6:$i]: 144.43/19.99 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 144.43/19.99 ( X4 @ X6 ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(dsetconstrER, axiom, dsetconstrER = 144.43/19.99 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 144.43/19.99 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 144.43/19.99 ( Xphi @ Xx ) ))). 144.43/19.99 thf('175', plain, 144.43/19.99 (( dsetconstrER ) = 144.43/19.99 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 144.43/19.99 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 144.43/19.99 ( X6 @ X8 ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(dsetconstrEL, axiom, dsetconstrEL = 144.43/19.99 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 144.43/19.99 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 144.43/19.99 ( in @ Xx @ A ) ))). 144.43/19.99 thf('176', plain, 144.43/19.99 (( dsetconstrEL ) = 144.43/19.99 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 144.43/19.99 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 144.43/19.99 ( in @ X8 @ X4 ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(dsetconstrI, axiom, dsetconstrI = 144.43/19.99 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 144.43/19.99 ( ( in @ Xx @ A ) => 144.43/19.99 ( ( Xphi @ Xx ) => 144.43/19.99 ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 144.43/19.99 thf('177', plain, 144.43/19.99 (( dsetconstrI ) = 144.43/19.99 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 144.43/19.99 ( ( in @ X8 @ X4 ) => 144.43/19.99 ( ( X6 @ X8 ) => 144.43/19.99 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(descrp, axiom, descrp = 144.43/19.99 (![Xphi:( $i > $o )]: 144.43/19.99 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 144.43/19.99 ( Xphi @ ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 144.43/19.99 thf('178', plain, 144.43/19.99 (( descrp ) = 144.43/19.99 ( ![X4:( $i > $o )]: 144.43/19.99 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 144.43/19.99 ( X4 @ ( descr @ ( ^[V_2:$i]: ( X4 @ V_2 ) ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(wellorderingAx, axiom, wellorderingAx = 144.43/19.99 (![A:$i]: 144.43/19.99 ( ?[B:$i]: 144.43/19.99 ( ( ![C:$i]: 144.43/19.99 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) & 144.43/19.99 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) => 144.43/19.99 ( ?[D:$i,Xx:$i]: 144.43/19.99 ( ( ![E:$i]: 144.43/19.99 ( ( in @ E @ B ) => 144.43/19.99 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) | 144.43/19.99 ( in @ Xx @ E ) ) ) ) & 144.43/19.99 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) & 144.43/19.99 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) & 144.43/19.99 ( ![C:$i,D:$i]: 144.43/19.99 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) => 144.43/19.99 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) | 144.43/19.99 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) & 144.43/19.99 ( ![Xx:$i,Xy:$i]: 144.43/19.99 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) => 144.43/19.99 ( ( ![C:$i]: 144.43/19.99 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) => 144.43/19.99 ( ( Xx ) = ( Xy ) ) ) ) ) & 144.43/19.99 ( ![C:$i]: 144.43/19.99 ( ( in @ C @ B ) => 144.43/19.99 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))). 144.43/19.99 thf('179', plain, 144.43/19.99 (( wellorderingAx ) = 144.43/19.99 ( ![X4:$i]: 144.43/19.99 ( ?[X6:$i]: 144.43/19.99 ( ( ![X8:$i]: 144.43/19.99 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) & 144.43/19.99 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) => 144.43/19.99 ( ?[X14:$i,X16:$i]: 144.43/19.99 ( ( ![X18:$i]: 144.43/19.99 ( ( in @ X18 @ X6 ) => 144.43/19.99 ( ( ![X20:$i]: 144.43/19.99 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) | 144.43/19.99 ( in @ X16 @ X18 ) ) ) ) & 144.43/19.99 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) & 144.43/19.99 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) & 144.43/19.99 ( ![X24:$i,X26:$i]: 144.43/19.99 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) => 144.43/19.99 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) | 144.43/19.99 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) & 144.43/19.99 ( ![X32:$i,X34:$i]: 144.43/19.99 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) => 144.43/19.99 ( ( ![X36:$i]: 144.43/19.99 ( ( in @ X36 @ X6 ) => 144.43/19.99 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) => 144.43/19.99 ( ( X32 ) = ( X34 ) ) ) ) ) & 144.43/19.99 ( ![X38:$i]: 144.43/19.99 ( ( in @ X38 @ X6 ) => 144.43/19.99 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(foundationAx, axiom, foundationAx = 144.43/19.99 (![A:$i]: 144.43/19.99 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => 144.43/19.99 ( ?[B:$i]: 144.43/19.99 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) & 144.43/19.99 ( in @ B @ A ) ) ) ))). 144.43/19.99 thf('180', plain, 144.43/19.99 (( foundationAx ) = 144.43/19.99 ( ![X4:$i]: 144.43/19.99 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => 144.43/19.99 ( ?[X8:$i]: 144.43/19.99 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) & 144.43/19.99 ( in @ X8 @ X4 ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(replAx, axiom, replAx = 144.43/19.99 (![Xphi:( $i > $i > $o ),A:$i]: 144.43/19.99 ( ( ![Xx:$i]: 144.43/19.99 ( ( in @ Xx @ A ) => ( exu @ ( ^[Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ) ) => 144.43/19.99 ( ?[B:$i]: 144.43/19.99 ( ![Xx:$i]: 144.43/19.99 ( ( in @ Xx @ B ) <=> 144.43/19.99 ( ?[Xy:$i]: ( ( Xphi @ Xy @ Xx ) & ( in @ Xy @ A ) ) ) ) ) ) ))). 144.43/19.99 thf('181', plain, 144.43/19.99 (( replAx ) = 144.43/19.99 ( ![X4:( $i > $i > $o ),X6:$i]: 144.43/19.99 ( ( ![X8:$i]: 144.43/19.99 ( ( in @ X8 @ X6 ) => ( exu @ ( ^[V_1:$i]: ( X4 @ X8 @ V_1 ) ) ) ) ) => 144.43/19.99 ( ?[X10:$i]: 144.43/19.99 ( ![X12:$i]: 144.43/19.99 ( ( in @ X12 @ X10 ) <=> 144.43/19.99 ( ?[X14:$i]: ( ( X4 @ X14 @ X12 ) & ( in @ X14 @ X6 ) ) ) ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(omegaIndAx, axiom, omegaIndAx = 144.43/19.99 (![A:$i]: 144.43/19.99 ( ( ( in @ emptyset @ A ) & 144.43/19.99 ( ![Xx:$i]: 144.43/19.99 ( ( ( in @ Xx @ omega ) & ( in @ Xx @ A ) ) => 144.43/19.99 ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) ) ) => 144.43/19.99 ( ![Xx:$i]: ( ( in @ Xx @ omega ) => ( in @ Xx @ A ) ) ) ))). 144.43/19.99 thf('182', plain, 144.43/19.99 (( omegaIndAx ) = 144.43/19.99 ( ![X4:$i]: 144.43/19.99 ( ( ( in @ emptyset @ X4 ) & 144.43/19.99 ( ![X6:$i]: 144.43/19.99 ( ( ( in @ X6 @ omega ) & ( in @ X6 @ X4 ) ) => 144.43/19.99 ( in @ ( setadjoin @ X6 @ X6 ) @ X4 ) ) ) ) => 144.43/19.99 ( ![X8:$i]: ( ( in @ X8 @ omega ) => ( in @ X8 @ X4 ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(omegaSAx, axiom, omegaSAx = 144.43/19.99 (![Xx:$i]: 144.43/19.99 ( ( in @ Xx @ omega ) => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ))). 144.43/19.99 thf('183', plain, 144.43/19.99 (( omegaSAx ) = 144.43/19.99 ( ![X4:$i]: 144.43/19.99 ( ( in @ X4 @ omega ) => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(omega0Ax, axiom,(( omega0Ax ) = (in @ emptyset @ omega))). 144.43/19.99 thf('184', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 144.43/19.99 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 144.43/19.99 thf('185', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(setunionAx, axiom, setunionAx = 144.43/19.99 (![A:$i,Xx:$i]: 144.43/19.99 ( ( in @ Xx @ ( setunion @ A ) ) <=> 144.43/19.99 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))). 144.43/19.99 thf('186', plain, 144.43/19.99 (( setunionAx ) = 144.43/19.99 ( ![X4:$i,X6:$i]: 144.43/19.99 ( ( in @ X6 @ ( setunion @ X4 ) ) <=> 144.43/19.99 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(powersetAx, axiom, powersetAx = 144.43/19.99 (![A:$i,B:$i]: 144.43/19.99 ( ( in @ B @ ( powerset @ A ) ) <=> 144.43/19.99 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 144.43/19.99 thf('187', plain, 144.43/19.99 (( powersetAx ) = 144.43/19.99 ( ![X4:$i,X6:$i]: 144.43/19.99 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 144.43/19.99 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(setadjoinAx, axiom, setadjoinAx = 144.43/19.99 (![Xx:$i,A:$i,Xy:$i]: 144.43/19.99 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=> 144.43/19.99 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 144.43/19.99 thf('188', plain, 144.43/19.99 (( setadjoinAx ) = 144.43/19.99 ( ![X4:$i,X6:$i,X8:$i]: 144.43/19.99 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=> 144.43/19.99 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(emptysetAx, axiom, emptysetAx = (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 144.43/19.99 thf('189', plain, 144.43/19.99 (( emptysetAx ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(setextAx, axiom, setextAx = 144.43/19.99 (![A:$i,B:$i]: 144.43/19.99 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) => 144.43/19.99 ( ( A ) = ( B ) ) ))). 144.43/19.99 thf('190', plain, 144.43/19.99 (( setextAx ) = 144.43/19.99 ( ![X4:$i,X6:$i]: 144.43/19.99 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 144.43/19.99 ( ( X4 ) = ( X6 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(exu, axiom,(( exu ) = 144.43/19.99 (^[Xphi:( $i > $o )]: 144.43/19.99 ( ?[Xx:$i]: 144.43/19.99 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & ( Xphi @ Xx ) ) )))). 144.43/19.99 thf('191', plain, 144.43/19.99 (( exu ) = 144.43/19.99 ( ^[Xphi:( $i > $o )]: 144.43/19.99 ( ?[Xx:$i]: 144.43/19.99 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 144.43/19.99 ( Xphi @ Xx ) ) ) )), 144.43/19.99 inference('simplify_rw_rule', [status(thm)], [exu])). 144.43/19.99 thf('192', plain, 144.43/19.99 (( exu ) = 144.43/19.99 ( ^[V_1:( $i > $o )]: 144.43/19.99 ( ?[X4:$i]: 144.43/19.99 ( ( ![X6:$i]: ( ( V_1 @ X6 ) => ( ( X4 ) = ( X6 ) ) ) ) & 144.43/19.99 ( V_1 @ X4 ) ) ) )), 144.43/19.99 define([status(thm)])). 144.43/19.99 thf(dpsetconstrI, conjecture, 144.43/19.99 (( setextAx ) => 144.43/19.99 ( ( emptysetAx ) => 144.43/19.99 ( ( setadjoinAx ) => 144.43/19.99 ( ( powersetAx ) => 144.43/19.99 ( ( setunionAx ) => 144.43/19.99 ( ( omega0Ax ) => 144.43/19.99 ( ( omegaSAx ) => 144.43/19.99 ( ( omegaIndAx ) => 144.43/19.99 ( ( replAx ) => 144.43/19.99 ( ( foundationAx ) => 144.43/19.99 ( ( wellorderingAx ) => 144.43/19.99 ( ( descrp ) => 144.43/19.99 ( ( dsetconstrI ) => 144.43/19.99 ( ( dsetconstrEL ) => 144.43/19.99 ( ( dsetconstrER ) => 144.43/19.99 ( ( exuE1 ) => 144.43/19.99 ( ( prop2setE ) => 144.43/19.99 ( ( emptysetE ) => 144.43/19.99 ( ( emptysetimpfalse ) => 144.43/19.99 ( ( notinemptyset ) => 144.43/19.99 ( ( exuE3e ) => 144.43/19.99 ( ( setext ) => 144.43/19.99 ( ( emptyI ) => 144.43/19.99 ( ( noeltsimpempty ) => 144.43/19.99 ( ( setbeta ) => 144.43/19.99 ( ( nonemptyE1 ) => 144.43/19.99 ( ( nonemptyI ) => 144.43/19.99 ( ( nonemptyI1 ) => 144.43/19.99 ( ( setadjoinIL ) => 144.43/19.99 ( ( emptyinunitempty ) => 144.43/19.99 ( ( setadjoinIR ) => 144.43/19.99 ( ( setadjoinE ) => 144.43/19.99 ( ( 144.43/19.99 setadjoinOr ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setoftrueEq ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 powersetI ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 emptyinPowerset ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 emptyInPowerset ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 powersetE ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setunionI ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setunionE ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 subPowSU ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 exuE2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 nonemptyImpWitness ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 uniqinunit ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 notinsingleton ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 eqinunit ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 singletonsswitch ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 upairsetE ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 upairsetIL ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 upairsetIR ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 emptyE1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 vacuousDall ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 quantDeMorgan1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 quantDeMorgan2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 quantDeMorgan3 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 quantDeMorgan4 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 prop2setI ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 prop2set2propI ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 notdexE ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 notdallE ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 exuI1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 exuI3 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 exuI2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 inCongP ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 in__Cong ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 exuE3u ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 exu__Cong ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 emptyset__Cong ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setadjoin__Cong ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 powerset__Cong ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setunion__Cong ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 omega__Cong ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 exuEu ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 descr__Cong ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 dsetconstr__Cong ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 subsetI1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 eqimpsubset2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 eqimpsubset1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 subsetI2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 emptysetsubset ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 subsetE ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 subsetE2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 notsubsetI ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 notequalI1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 notequalI2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 subsetRefl ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 subsetTrans ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setadjoinSub ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setadjoinSub2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 subset2powerset ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setextsub ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 subsetemptysetimpeq ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 powersetI1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 powersetE1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 inPowerset ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 powersetsubset ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 sepInPowerset ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 sepSubset ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binunionIL ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 upairset2IR ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binunionIR ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binunionEcases ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binunionE ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binunionLsub ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binunionRsub ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binintersectI ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binintersectSubset5 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binintersectEL ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binintersectLsub ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binintersectSubset2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binintersectSubset3 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binintersectER ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 disjointsetsI1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binintersectRsub ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binintersectSubset4 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 binintersectSubset1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 bs114d ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setminusI ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setminusEL ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setminusER ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setminusSubset2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setminusERneg ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setminusELneg ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setminusILneg ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setminusIRneg ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setminusLsub ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setminusSubset1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 symdiffE ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 symdiffI1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 symdiffI2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 symdiffIneg1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 symdiffIneg2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 secondinupair ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setukpairIL ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setukpairIR ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 kpairiskpair ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 kpairp ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 singletonsubset ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 singletoninpowerset ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 singletoninpowunion ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 upairset2E ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 upairsubunion ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 upairinpowunion ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 ubforcartprodlem1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 ubforcartprodlem2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 ubforcartprodlem3 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 cartprodpairin ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 cartprodmempair1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 cartprodmempair ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setunionE2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setunionsingleton1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setunionsingleton2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setunionsingleton ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 singletonprop ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 ex1E1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 ex1I ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 ex1I2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 singletonsuniq ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setukpairinjL1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 kfstsingleton ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 theprop ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 kfstpairEq ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 cartprodfstin ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setukpairinjL2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setukpairinjL ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setukpairinjR11 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setukpairinjR12 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setukpairinjR1 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 upairequniteq ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setukpairinjR2 ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 setukpairinjR ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 ksndsingleton ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 ksndpairEq ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 kpairsurjEq ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 cartprodsndin ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 cartprodpairmemEL ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 cartprodpairmemER ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 cartprodmempaircEq ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 cartprodfstpairEq ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 cartprodsndpairEq ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 cartprodpairsurjEq ) => 144.43/19.99 ( 144.43/19.99 ![ 144.43/19.99 A:$i,B:$i, 144.43/19.99 Xphi:( 144.43/19.99 $i > $i > 144.43/19.99 $o ),Xx:$i]: 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 in @ 144.43/19.99 Xx @ A ) => 144.43/19.99 ( 144.43/19.99 ![ 144.43/19.99 Xy:$i]: 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 in @ 144.43/19.99 Xy @ B ) => 144.43/19.99 ( 144.43/19.99 ( 144.43/19.99 Xphi @ 144.43/19.99 Xx @ Xy ) => 144.43/19.99 ( 144.43/19.99 in @ 144.43/19.99 ( 144.43/19.99 kpair @ 144.43/19.99 Xx @ Xy ) @ 144.43/19.99 ( 144.43/19.99 dpsetconstr 144.43/19.99 @ 144.43/19.99 A @ B @ 144.43/19.99 ( 144.43/19.99 ^[ 144.43/19.99 Xz:$i, 144.43/19.99 Xu:$i]: 144.43/19.99 ( 144.43/19.99 Xphi @ 144.43/19.99 Xz @ Xu ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 144.43/19.99 thf(zf_stmt_0, conjecture, 144.43/19.99 (( ![X4:$i,X6:$i]: 144.43/19.99 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 144.43/19.99 ( ( X4 ) = ( X6 ) ) ) ) => 144.43/19.99 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 144.43/19.99 ( ( ![X12:$i,X14:$i,X16:$i]: 144.43/19.99 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 144.43/19.99 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 144.43/19.99 ( ( ![X18:$i,X20:$i]: 144.43/19.99 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 144.43/19.99 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 144.43/19.99 ( ( ![X24:$i,X26:$i]: 144.43/19.99 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 144.43/19.99 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 144.43/19.99 ( ( in @ emptyset @ omega ) => 144.43/19.99 ( ( ![X30:$i]: 144.43/19.99 ( ( in @ X30 @ omega ) => 144.43/19.99 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 144.43/19.99 ( ( ![X32:$i]: 144.43/19.99 ( ( ( ![X34:$i]: 144.43/19.99 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 144.43/19.99 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 144.43/19.99 ( in @ emptyset @ X32 ) ) => 144.43/19.99 ( ![X36:$i]: 144.43/19.99 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 144.43/19.99 ( ( ![X38:( $i > $i > $o ),X40:$i]: 144.43/19.99 ( ( ![X42:$i]: 144.43/19.99 ( ( in @ X42 @ X40 ) => 144.43/19.99 ( ?[X44:$i]: 144.43/19.99 ( ( X38 @ X42 @ X44 ) & 144.43/19.99 ( ![X46:$i]: 144.43/19.99 ( ( X38 @ X42 @ X46 ) => 144.43/19.99 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 144.43/19.99 ( ?[X48:$i]: 144.43/19.99 ( ![X50:$i]: 144.43/19.99 ( ( in @ X50 @ X48 ) <=> 144.43/19.99 ( ?[X52:$i]: 144.43/19.99 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 144.43/19.99 ( ( ![X54:$i]: 144.43/19.99 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 144.43/19.99 ( ?[X58:$i]: 144.43/19.99 ( ( in @ X58 @ X54 ) & 144.43/19.99 ( ~( ?[X60:$i]: 144.43/19.99 ( ( in @ X60 @ X58 ) & ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 144.43/19.99 ( ( ![X62:$i]: 144.43/19.99 ( ?[X64:$i]: 144.43/19.99 ( ( ![X96:$i]: 144.43/19.99 ( ( in @ X96 @ X64 ) => 144.43/19.99 ( ![X98:$i]: 144.43/19.99 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) & 144.43/19.99 ( ![X90:$i,X92:$i]: 144.43/19.99 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 144.43/19.99 ( ( ![X94:$i]: 144.43/19.99 ( ( in @ X94 @ X64 ) => 144.43/19.99 ( ( in @ X90 @ X94 ) <=> 144.43/19.99 ( in @ X92 @ X94 ) ) ) ) => 144.43/19.99 ( ( X90 ) = ( X92 ) ) ) ) ) & 144.43/19.99 ( ![X82:$i,X84:$i]: 144.43/19.99 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 144.43/19.99 ( ( ![X88:$i]: 144.43/19.99 ( ( in @ X88 @ X84 ) => 144.43/19.99 ( in @ X88 @ X82 ) ) ) | 144.43/19.99 ( ![X86:$i]: 144.43/19.99 ( ( in @ X86 @ X82 ) => 144.43/19.99 ( in @ X86 @ X84 ) ) ) ) ) ) & 144.43/19.99 ( ![X66:$i]: 144.43/19.99 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 144.43/19.99 ( ![X68:$i]: 144.43/19.99 ( ( in @ X68 @ X66 ) => 144.43/19.99 ( in @ X68 @ X62 ) ) ) ) => 144.43/19.99 ( ?[X72:$i,X74:$i]: 144.43/19.99 ( ( in @ X72 @ X64 ) & 144.43/19.99 ( in @ X74 @ X66 ) & 144.43/19.99 ( ~( ?[X80:$i]: 144.43/19.99 ( ( in @ X80 @ X72 ) & 144.43/19.99 ( in @ X80 @ X66 ) ) ) ) & 144.43/19.99 ( ![X76:$i]: 144.43/19.99 ( ( in @ X76 @ X64 ) => 144.43/19.99 ( ( in @ X74 @ X76 ) | 144.43/19.99 ( ![X78:$i]: 144.43/19.99 ( ( in @ X78 @ X76 ) => 144.43/19.99 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 144.43/19.99 ( ( ![X100:( $i > $o )]: 144.43/19.99 ( ( ?[X102:$i]: 144.43/19.99 ( ( X100 @ X102 ) & 144.43/19.99 ( ![X104:$i]: 144.43/19.99 ( ( X100 @ X104 ) => 144.43/19.99 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 144.43/19.99 ( X100 @ 144.43/19.99 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 144.43/19.99 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 144.43/19.99 ( ( in @ X110 @ X106 ) => 144.43/19.99 ( ( X108 @ X110 ) => 144.43/19.99 ( in @ 144.43/19.99 X110 @ 144.43/19.99 ( dsetconstr @ 144.43/19.99 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 144.43/19.99 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 144.43/20.00 ( ( in @ 144.43/20.00 X116 @ 144.43/20.00 ( dsetconstr @ 144.43/20.00 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 144.43/20.00 ( in @ X116 @ X112 ) ) ) => 144.43/20.00 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 144.43/20.00 ( ( in @ 144.43/20.00 X122 @ 144.43/20.00 ( dsetconstr @ 144.43/20.00 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 144.43/20.00 ( X120 @ X122 ) ) ) => 144.43/20.00 ( ( ![X124:( $i > $o )]: 144.43/20.00 ( ( ?[X126:$i]: 144.43/20.00 ( ( X124 @ X126 ) & 144.43/20.00 ( ![X128:$i]: 144.43/20.00 ( ( X124 @ X128 ) => 144.43/20.00 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 144.43/20.00 ( ?[X130:$i]: 144.43/20.00 ( ( X124 @ X130 ) & 144.43/20.00 ( ![X132:$i]: 144.43/20.00 ( ( X124 @ X132 ) => 144.43/20.00 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 144.43/20.00 ( ( ![X134:$o,X136:$i]: 144.43/20.00 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 144.43/20.00 ( X134 ) ) ) => 144.43/20.00 ( ( ![X138:$i]: 144.43/20.00 ( ( in @ X138 @ emptyset ) => 144.43/20.00 ( ![X140:$o]: ( X140 ) ) ) ) => 144.43/20.00 ( ( ![X142:$i]: 144.43/20.00 ( ( in @ X142 @ emptyset ) => 144.43/20.00 ( $false ) ) ) => 144.43/20.00 ( ( ![X144:$i]: 144.43/20.00 ( ~( in @ X144 @ emptyset ) ) ) => 144.43/20.00 ( ( ![X146:( $i > $o )]: 144.43/20.00 ( ( ?[X148:$i]: 144.43/20.00 ( ( X146 @ X148 ) & 144.43/20.00 ( ![X150:$i]: 144.43/20.00 ( ( X146 @ X150 ) => 144.43/20.00 ( ( X148 ) = ( X150 ) ) ) ) ) ) => 144.43/20.00 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 144.43/20.00 ( ( ![X154:$i,X156:$i]: 144.43/20.00 ( ( ![X158:$i]: 144.43/20.00 ( ( in @ X158 @ X154 ) => 144.43/20.00 ( in @ X158 @ X156 ) ) ) => 144.43/20.00 ( ( ![X160:$i]: 144.43/20.00 ( ( in @ X160 @ X156 ) => 144.43/20.00 ( in @ X160 @ X154 ) ) ) => 144.43/20.00 ( ( X154 ) = ( X156 ) ) ) ) ) => 144.43/20.00 ( ( ![X162:$i]: 144.43/20.00 ( ( ![X164:$i]: 144.43/20.00 ( ~( in @ X164 @ X162 ) ) ) => 144.43/20.00 ( ( X162 ) = ( emptyset ) ) ) ) => 144.43/20.00 ( ( ![X166:$i]: 144.43/20.00 ( ( ![X168:$i]: 144.43/20.00 ( ~( in @ X168 @ X166 ) ) ) => 144.43/20.00 ( ( X166 ) = 144.43/20.00 ( emptyset ) ) ) ) => 144.43/20.00 ( ( ![X170:$i, 144.43/20.00 X172:( $i > $o ), 144.43/20.00 X174:$i]: 144.43/20.00 ( ( in @ X174 @ X170 ) => 144.43/20.00 ( ( in @ 144.43/20.00 X174 @ 144.43/20.00 ( dsetconstr @ 144.43/20.00 X170 @ 144.43/20.00 ( ^[V_5:$i]: 144.43/20.00 ( X172 @ V_5 ) ) ) ) <=> 144.43/20.00 ( X172 @ X174 ) ) ) ) => 144.43/20.00 ( ( ![X176:$i]: 144.43/20.00 ( ( ( X176 ) != 144.43/20.00 ( emptyset ) ) => 144.43/20.00 ( ?[X178:$i]: 144.43/20.00 ( in @ X178 @ X176 ) ) ) ) => 144.43/20.00 ( ( ![X180:$i, 144.43/20.00 X182:( $i > $o ), 144.43/20.00 X184:$i]: 144.43/20.00 ( ( in @ X184 @ X180 ) => 144.43/20.00 ( ( X182 @ X184 ) => 144.43/20.00 ( ( dsetconstr @ 144.43/20.00 X180 @ 144.43/20.00 ( ^[ 144.43/20.00 V_6:$i]: 144.43/20.00 ( 144.43/20.00 X182 @ V_6 ) ) ) != 144.43/20.00 ( emptyset ) ) ) ) ) => 144.43/20.00 ( ( ![X186:$i]: 144.43/20.00 ( ( ?[X188:$i]: 144.43/20.00 ( in @ 144.43/20.00 X188 @ X186 ) ) => 144.43/20.00 ( ( X186 ) != 144.43/20.00 ( emptyset ) ) ) ) => 144.43/20.00 ( ( ![X190:$i, 144.43/20.00 X192:$i]: 144.43/20.00 ( in @ 144.43/20.00 X190 @ 144.43/20.00 ( setadjoin @ 144.43/20.00 X190 @ X192 ) ) ) => 144.43/20.00 ( ( in @ 144.43/20.00 emptyset @ 144.43/20.00 ( setadjoin @ 144.43/20.00 emptyset @ 144.43/20.00 emptyset ) ) => 144.43/20.00 ( ( ![X194:$i, 144.43/20.00 X196:$i, 144.43/20.00 X198:$i]: 144.43/20.00 ( ( 144.43/20.00 in @ 144.43/20.00 X198 @ 144.43/20.00 X196 ) => 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X198 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X194 @ 144.43/20.00 X196 ) ) ) ) => 144.43/20.00 ( ( ![ 144.43/20.00 X200:$i, 144.43/20.00 X202:$i, 144.43/20.00 X204:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X204 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X200 @ 144.43/20.00 X202 ) ) => 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X206:$o]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X204 ) = 144.43/20.00 ( 144.43/20.00 X200 ) ) => 144.43/20.00 ( 144.43/20.00 X206 ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X204 @ 144.43/20.00 X202 ) => 144.43/20.00 ( 144.43/20.00 X206 ) ) => 144.43/20.00 ( 144.43/20.00 X206 ) ) ) ) ) ) => 144.43/20.00 ( ( 144.43/20.00 ![ 144.43/20.00 X208:$i, 144.43/20.00 X210:$i, 144.43/20.00 X212:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X212 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X208 @ 144.43/20.00 X210 ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X212 @ 144.43/20.00 X210 ) | 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X212 ) = 144.43/20.00 ( 144.43/20.00 X208 ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X214:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 dsetconstr 144.43/20.00 @ 144.43/20.00 X214 @ 144.43/20.00 ( 144.43/20.00 ^[ 144.43/20.00 V_7:$i]: 144.43/20.00 ( 144.43/20.00 $true ) ) ) = 144.43/20.00 ( 144.43/20.00 X214 ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X216:$i, 144.43/20.00 X218:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X220:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X220 @ 144.43/20.00 X218 ) => 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X220 @ 144.43/20.00 X216 ) ) ) => 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X218 @ 144.43/20.00 ( 144.43/20.00 powerset @ 144.43/20.00 X216 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X222:$i]: 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 emptyset @ 144.43/20.00 ( 144.43/20.00 powerset @ 144.43/20.00 X222 ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X224:$i]: 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 emptyset @ 144.43/20.00 ( 144.43/20.00 powerset @ 144.43/20.00 X224 ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X226:$i, 144.43/20.00 X228:$i, 144.43/20.00 X230:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X228 @ 144.43/20.00 ( 144.43/20.00 powerset @ 144.43/20.00 X226 ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X230 @ 144.43/20.00 X228 ) => 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X230 @ 144.43/20.00 X226 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X232:$i, 144.43/20.00 X234:$i, 144.43/20.00 X236:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X234 @ 144.43/20.00 X236 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X236 @ 144.43/20.00 X232 ) => 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X234 @ 144.43/20.00 ( 144.43/20.00 setunion @ 144.43/20.00 X232 ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X238:$i, 144.43/20.00 X240:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X240 @ 144.43/20.00 ( 144.43/20.00 setunion @ 144.43/20.00 X238 ) ) => 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X242:$o]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X244:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X240 @ 144.43/20.00 X244 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X244 @ 144.43/20.00 X238 ) => 144.43/20.00 ( 144.43/20.00 X242 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 X242 ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X246:$i, 144.43/20.00 X248:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X248 @ 144.43/20.00 X246 ) => 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X248 @ 144.43/20.00 ( 144.43/20.00 powerset @ 144.43/20.00 ( 144.43/20.00 setunion @ 144.43/20.00 X246 ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X250:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X252:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X250 @ 144.43/20.00 X252 ) & 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X254:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X250 @ 144.43/20.00 X254 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X252 ) = 144.43/20.00 ( 144.43/20.00 X254 ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X256:$i]: 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X258:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X250 @ 144.43/20.00 X258 ) <=> 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X258 ) = 144.43/20.00 ( 144.43/20.00 X256 ) ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X260:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X260 ) != 144.43/20.00 ( 144.43/20.00 emptyset ) ) => 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X262:$i]: 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X262 @ 144.43/20.00 X260 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X264:$i, 144.43/20.00 X266:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X264 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X266 @ 144.43/20.00 emptyset ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X264 ) = 144.43/20.00 ( 144.43/20.00 X266 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X268:$i, 144.43/20.00 X270:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X268 ) != 144.43/20.00 ( 144.43/20.00 X270 ) ) => 144.43/20.00 ( 144.43/20.00 ~( 144.43/20.00 in @ 144.43/20.00 X270 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X268 @ 144.43/20.00 emptyset ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X272:$i, 144.43/20.00 X274:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X272 ) = 144.43/20.00 ( 144.43/20.00 X274 ) ) => 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X272 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X274 @ 144.43/20.00 emptyset ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X276:$i, 144.43/20.00 X278:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X276 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X278 @ 144.43/20.00 emptyset ) ) => 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X278 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X276 @ 144.43/20.00 emptyset ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X280:$i, 144.43/20.00 X282:$i, 144.43/20.00 X284:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X284 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X280 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X282 @ 144.43/20.00 emptyset ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X284 ) = 144.43/20.00 ( 144.43/20.00 X282 ) ) | 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X284 ) = 144.43/20.00 ( 144.43/20.00 X280 ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X286:$i, 144.43/20.00 X288:$i]: 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X286 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X286 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X288 @ 144.43/20.00 emptyset ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X290:$i, 144.43/20.00 X292:$i]: 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X292 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X290 @ 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X292 @ 144.43/20.00 emptyset ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X294:$i, 144.43/20.00 X296:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X298:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X298 @ 144.43/20.00 X294 ) & 144.43/20.00 ( 144.43/20.00 X296 @ 144.43/20.00 X298 ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 dsetconstr 144.43/20.00 @ 144.43/20.00 X294 @ 144.43/20.00 ( 144.43/20.00 ^[ 144.43/20.00 V_8:$i]: 144.43/20.00 ( 144.43/20.00 X296 @ V_8 ) ) ) = 144.43/20.00 ( 144.43/20.00 emptyset ) ) => 144.43/20.00 ( 144.43/20.00 $false ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X300:( 144.43/20.00 $i > $o ), 144.43/20.00 X302:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X302 @ 144.43/20.00 emptyset ) => 144.43/20.00 ( 144.43/20.00 X300 @ 144.43/20.00 X302 ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X304:$i, 144.43/20.00 X306:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ~( 144.43/20.00 ![ 144.43/20.00 X308:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X308 @ 144.43/20.00 X304 ) => 144.43/20.00 ( 144.43/20.00 X306 @ 144.43/20.00 X308 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X310:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X310 @ 144.43/20.00 X304 ) & 144.43/20.00 ( 144.43/20.00 ~( 144.43/20.00 X306 @ 144.43/20.00 X310 ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X312:$i, 144.43/20.00 X314:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X316:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X316 @ 144.43/20.00 X312 ) => 144.43/20.00 ( 144.43/20.00 ~( 144.43/20.00 X314 @ 144.43/20.00 X316 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ~( 144.43/20.00 ?[ 144.43/20.00 X318:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X318 @ 144.43/20.00 X312 ) & 144.43/20.00 ( 144.43/20.00 X314 @ 144.43/20.00 X318 ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X320:$i, 144.43/20.00 X322:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ~( 144.43/20.00 ?[ 144.43/20.00 X324:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X324 @ 144.43/20.00 X320 ) & 144.43/20.00 ( 144.43/20.00 X322 @ 144.43/20.00 X324 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X326:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X326 @ 144.43/20.00 X320 ) => 144.43/20.00 ( 144.43/20.00 ~( 144.43/20.00 X322 @ 144.43/20.00 X326 ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X328:$i, 144.43/20.00 X330:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X332:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X332 @ 144.43/20.00 X328 ) & 144.43/20.00 ( 144.43/20.00 ~( 144.43/20.00 X330 @ 144.43/20.00 X332 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ~( 144.43/20.00 ![ 144.43/20.00 X334:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X334 @ 144.43/20.00 X328 ) => 144.43/20.00 ( 144.43/20.00 X330 @ 144.43/20.00 X334 ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X336:$o]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X336 ) => 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 emptyset @ 144.43/20.00 ( 144.43/20.00 prop2set @ 144.43/20.00 X336 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X338:$o]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X338 ) => 144.43/20.00 ( 144.43/20.00 set2prop @ 144.43/20.00 ( 144.43/20.00 prop2set @ 144.43/20.00 X338 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X340:$i, 144.43/20.00 X342:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ~( 144.43/20.00 ?[ 144.43/20.00 X344:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X344 @ 144.43/20.00 X340 ) & 144.43/20.00 ( 144.43/20.00 X342 @ 144.43/20.00 X344 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X346:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X346 @ 144.43/20.00 X340 ) => 144.43/20.00 ( 144.43/20.00 ~( 144.43/20.00 X342 @ 144.43/20.00 X346 ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X348:$i, 144.43/20.00 X350:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ~( 144.43/20.00 ![ 144.43/20.00 X352:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X352 @ 144.43/20.00 X348 ) => 144.43/20.00 ( 144.43/20.00 X350 @ 144.43/20.00 X352 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X354:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X354 @ 144.43/20.00 X348 ) & 144.43/20.00 ( 144.43/20.00 ~( 144.43/20.00 X350 @ 144.43/20.00 X354 ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X356:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X358:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X356 @ 144.43/20.00 X358 ) & 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X360:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X356 @ 144.43/20.00 X360 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X358 ) = 144.43/20.00 ( 144.43/20.00 X360 ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X362:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X356 @ 144.43/20.00 X362 ) & 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X364:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X356 @ 144.43/20.00 X364 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X362 ) = 144.43/20.00 ( 144.43/20.00 X364 ) ) ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X366:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X368:$i]: 144.43/20.00 ( 144.43/20.00 X366 @ 144.43/20.00 X368 ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X370:$i, 144.43/20.00 X372:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X366 @ 144.43/20.00 X370 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X366 @ 144.43/20.00 X372 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X370 ) = 144.43/20.00 ( 144.43/20.00 X372 ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X374:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X366 @ 144.43/20.00 X374 ) & 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X376:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X366 @ 144.43/20.00 X376 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X374 ) = 144.43/20.00 ( 144.43/20.00 X376 ) ) ) ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X378:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X380:$i]: 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X382:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X378 @ 144.43/20.00 X382 ) <=> 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X382 ) = 144.43/20.00 ( 144.43/20.00 X380 ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X384:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X378 @ 144.43/20.00 X384 ) & 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X386:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X378 @ 144.43/20.00 X386 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X384 ) = 144.43/20.00 ( 144.43/20.00 X386 ) ) ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X388:$i, 144.43/20.00 X390:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X388 ) = 144.43/20.00 ( 144.43/20.00 X390 ) ) => 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X392:$i, 144.43/20.00 X394:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X392 ) = 144.43/20.00 ( 144.43/20.00 X394 ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X392 @ 144.43/20.00 X388 ) => 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X394 @ 144.43/20.00 X390 ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X396:$i, 144.43/20.00 X398:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X396 ) = 144.43/20.00 ( 144.43/20.00 X398 ) ) => 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X400:$i, 144.43/20.00 X402:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X400 ) = 144.43/20.00 ( 144.43/20.00 X402 ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X400 @ 144.43/20.00 X396 ) <=> 144.43/20.00 ( 144.43/20.00 in @ 144.43/20.00 X402 @ 144.43/20.00 X398 ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X404:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X406:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X404 @ 144.43/20.00 X406 ) & 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X408:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X404 @ 144.43/20.00 X408 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X406 ) = 144.43/20.00 ( 144.43/20.00 X408 ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X410:$i, 144.43/20.00 X412:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X404 @ 144.43/20.00 X410 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X404 @ 144.43/20.00 X412 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X410 ) = 144.43/20.00 ( 144.43/20.00 X412 ) ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X414:( 144.43/20.00 $i > $o ), 144.43/20.00 X416:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X418:$i, 144.43/20.00 X420:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X418 ) = 144.43/20.00 ( 144.43/20.00 X420 ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X414 @ 144.43/20.00 X418 ) <=> 144.43/20.00 ( 144.43/20.00 X416 @ 144.43/20.00 X420 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X422:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X414 @ 144.43/20.00 X422 ) & 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X424:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X414 @ 144.43/20.00 X424 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X422 ) = 144.43/20.00 ( 144.43/20.00 X424 ) ) ) ) ) ) <=> 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X426:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X416 @ 144.43/20.00 X426 ) & 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X428:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X416 @ 144.43/20.00 X428 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X426 ) = 144.43/20.00 ( 144.43/20.00 X428 ) ) ) ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 emptyset ) = 144.43/20.00 ( 144.43/20.00 emptyset ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X430:$i, 144.43/20.00 X432:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X430 ) = 144.43/20.00 ( 144.43/20.00 X432 ) ) => 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X434:$i, 144.43/20.00 X436:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X434 ) = 144.43/20.00 ( 144.43/20.00 X436 ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X430 @ 144.43/20.00 X434 ) = 144.43/20.00 ( 144.43/20.00 setadjoin 144.43/20.00 @ 144.43/20.00 X432 @ 144.43/20.00 X436 ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X438:$i, 144.43/20.00 X440:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X438 ) = 144.43/20.00 ( 144.43/20.00 X440 ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 powerset @ 144.43/20.00 X438 ) = 144.43/20.00 ( 144.43/20.00 powerset @ 144.43/20.00 X440 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X442:$i, 144.43/20.00 X444:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X442 ) = 144.43/20.00 ( 144.43/20.00 X444 ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 setunion @ 144.43/20.00 X442 ) = 144.43/20.00 ( 144.43/20.00 setunion @ 144.43/20.00 X444 ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 omega ) = 144.43/20.00 ( 144.43/20.00 omega ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X446:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ?[ 144.43/20.00 X448:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X446 @ 144.43/20.00 X448 ) & 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X450:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X446 @ 144.43/20.00 X450 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X448 ) = 144.43/20.00 ( 144.43/20.00 X450 ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X452:$i, 144.43/20.00 X454:$i]: 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X446 @ 144.43/20.00 X452 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X446 @ 144.43/20.00 X454 ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 X452 ) = 144.43/20.00 ( 144.43/20.00 X454 ) ) ) ) ) ) ) => 144.43/20.00 ( 144.43/20.00 ( 144.43/20.00 ![ 144.43/20.00 X456:( 144.43/20.00 $i > $o ), 144.43/20.00 X458:( 144.43/20.00 $i > $o )]: 144.43/20.00 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X460:$i, 144.43/20.01 X462:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X460 ) = 144.43/20.01 ( 144.43/20.01 X462 ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X456 @ 144.43/20.01 X460 ) <=> 144.43/20.01 ( 144.43/20.01 X458 @ 144.43/20.01 X462 ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ?[ 144.43/20.01 X464:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X456 @ 144.43/20.01 X464 ) & 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X466:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X456 @ 144.43/20.01 X466 ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X464 ) = 144.43/20.01 ( 144.43/20.01 X466 ) ) ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ?[ 144.43/20.01 X468:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X458 @ 144.43/20.01 X468 ) & 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X470:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X458 @ 144.43/20.01 X470 ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X468 ) = 144.43/20.01 ( 144.43/20.01 X470 ) ) ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 descr @ 144.43/20.01 ( 144.43/20.01 ^[ 144.43/20.01 V_9:$i]: 144.43/20.01 ( 144.43/20.01 X456 @ V_9 ) ) ) = 144.43/20.01 ( 144.43/20.01 descr @ 144.43/20.01 ( 144.43/20.01 ^[ 144.43/20.01 V_10:$i]: 144.43/20.01 ( 144.43/20.01 X458 @ 144.43/20.01 V_10 ) ) ) ) ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X472:$i, 144.43/20.01 X474:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X472 ) = 144.43/20.01 ( 144.43/20.01 X474 ) ) => 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X476:( 144.43/20.01 $i > $o ), 144.43/20.01 X478:( 144.43/20.01 $i > $o )]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X480:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X480 @ 144.43/20.01 X472 ) => 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X482:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X482 @ 144.43/20.01 X474 ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X480 ) = 144.43/20.01 ( 144.43/20.01 X482 ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X476 @ 144.43/20.01 X480 ) <=> 144.43/20.01 ( 144.43/20.01 X478 @ 144.43/20.01 X482 ) ) ) ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 dsetconstr 144.43/20.01 @ 144.43/20.01 X472 @ 144.43/20.01 ( 144.43/20.01 ^[ 144.43/20.01 V_11:$i]: 144.43/20.01 ( 144.43/20.01 X476 @ 144.43/20.01 V_11 ) ) ) = 144.43/20.01 ( 144.43/20.01 dsetconstr 144.43/20.01 @ 144.43/20.01 X474 @ 144.43/20.01 ( 144.43/20.01 ^[ 144.43/20.01 V_12:$i]: 144.43/20.01 ( 144.43/20.01 X478 @ 144.43/20.01 V_12 ) ) ) ) ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X484:$i, 144.43/20.01 X486:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X488:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X488 @ 144.43/20.01 X484 ) => 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X488 @ 144.43/20.01 X486 ) ) ) => 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X484 @ 144.43/20.01 X486 ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X490:$i, 144.43/20.01 X492:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X490 ) = 144.43/20.01 ( 144.43/20.01 X492 ) ) => 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X492 @ 144.43/20.01 X490 ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X494:$i, 144.43/20.01 X496:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X494 ) = 144.43/20.01 ( 144.43/20.01 X496 ) ) => 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X494 @ 144.43/20.01 X496 ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X498:$i, 144.43/20.01 X500:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X502:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X502 @ 144.43/20.01 X498 ) => 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X502 @ 144.43/20.01 X500 ) ) ) => 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X498 @ 144.43/20.01 X500 ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X504:$i]: 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 emptyset @ 144.43/20.01 X504 ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X506:$i, 144.43/20.01 X508:$i, 144.43/20.01 X510:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X506 @ 144.43/20.01 X508 ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X510 @ 144.43/20.01 X506 ) => 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X510 @ 144.43/20.01 X508 ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X512:$i, 144.43/20.01 X514:$i, 144.43/20.01 X516:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X512 @ 144.43/20.01 X514 ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ~( 144.43/20.01 in @ 144.43/20.01 X516 @ 144.43/20.01 X514 ) ) => 144.43/20.01 ( 144.43/20.01 ~( 144.43/20.01 in @ 144.43/20.01 X516 @ 144.43/20.01 X512 ) ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X518:$i, 144.43/20.01 X520:$i, 144.43/20.01 X522:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X522 @ 144.43/20.01 X518 ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ~( 144.43/20.01 in @ 144.43/20.01 X522 @ 144.43/20.01 X520 ) ) => 144.43/20.01 ( 144.43/20.01 ~( 144.43/20.01 subset @ 144.43/20.01 X518 @ 144.43/20.01 X520 ) ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X524:$i, 144.43/20.01 X526:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ~( 144.43/20.01 subset @ 144.43/20.01 X524 @ 144.43/20.01 X526 ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X524 ) != 144.43/20.01 ( 144.43/20.01 X526 ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X528:$i, 144.43/20.01 X530:$i, 144.43/20.01 X532:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X532 @ 144.43/20.01 X528 ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ~( 144.43/20.01 in @ 144.43/20.01 X532 @ 144.43/20.01 X530 ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X528 ) != 144.43/20.01 ( 144.43/20.01 X530 ) ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X534:$i]: 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X534 @ 144.43/20.01 X534 ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X536:$i, 144.43/20.01 X538:$i, 144.43/20.01 X540:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X536 @ 144.43/20.01 X538 ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X538 @ 144.43/20.01 X540 ) => 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X536 @ 144.43/20.01 X540 ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X542:$i, 144.43/20.01 X544:$i]: 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X544 @ 144.43/20.01 ( 144.43/20.01 setadjoin 144.43/20.01 @ 144.43/20.01 X542 @ 144.43/20.01 X544 ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X546:$i, 144.43/20.01 X548:$i, 144.43/20.01 X550:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X546 @ 144.43/20.01 X550 ) => 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X546 @ 144.43/20.01 ( 144.43/20.01 setadjoin 144.43/20.01 @ 144.43/20.01 X548 @ 144.43/20.01 X550 ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X552:$i, 144.43/20.01 X554:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X552 @ 144.43/20.01 X554 ) => 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X552 @ 144.43/20.01 ( 144.43/20.01 powerset @ 144.43/20.01 X554 ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X556:$i, 144.43/20.01 X558:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X556 @ 144.43/20.01 X558 ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X558 @ 144.43/20.01 X556 ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X556 ) = 144.43/20.01 ( 144.43/20.01 X558 ) ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X560:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X560 @ 144.43/20.01 emptyset ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 X560 ) = 144.43/20.01 ( 144.43/20.01 emptyset ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X562:$i, 144.43/20.01 X564:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X564 @ 144.43/20.01 X562 ) => 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X564 @ 144.43/20.01 ( 144.43/20.01 powerset @ 144.43/20.01 X562 ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X566:$i, 144.43/20.01 X568:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X568 @ 144.43/20.01 ( 144.43/20.01 powerset @ 144.43/20.01 X566 ) ) => 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X568 @ 144.43/20.01 X566 ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X570:$i]: 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X570 @ 144.43/20.01 ( 144.43/20.01 powerset @ 144.43/20.01 X570 ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X572:$i, 144.43/20.01 X574:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 X572 @ 144.43/20.01 X574 ) => 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 ( 144.43/20.01 powerset @ 144.43/20.01 X572 ) @ 144.43/20.01 ( 144.43/20.01 powerset @ 144.43/20.01 X574 ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X576:$i, 144.43/20.01 X578:( 144.43/20.01 $i > $o )]: 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 ( 144.43/20.01 dsetconstr 144.43/20.01 @ 144.43/20.01 X576 @ 144.43/20.01 ( 144.43/20.01 ^[ 144.43/20.01 V_13:$i]: 144.43/20.01 ( 144.43/20.01 X578 @ 144.43/20.01 V_13 ) ) ) @ 144.43/20.01 ( 144.43/20.01 powerset @ 144.43/20.01 X576 ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X580:$i, 144.43/20.01 X582:( 144.43/20.01 $i > $o )]: 144.43/20.01 ( 144.43/20.01 subset @ 144.43/20.01 ( 144.43/20.01 dsetconstr 144.43/20.01 @ 144.43/20.01 X580 @ 144.43/20.01 ( 144.43/20.01 ^[ 144.43/20.01 V_14:$i]: 144.43/20.01 ( 144.43/20.01 X582 @ 144.43/20.01 V_14 ) ) ) @ 144.43/20.01 X580 ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X584:$i, 144.43/20.01 X586:$i, 144.43/20.01 X588:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X588 @ 144.43/20.01 X584 ) => 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X588 @ 144.43/20.01 ( 144.43/20.01 binunion @ 144.43/20.01 X584 @ 144.43/20.01 X586 ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X590:$i, 144.43/20.01 X592:$i]: 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X592 @ 144.43/20.01 ( 144.43/20.01 setadjoin 144.43/20.01 @ 144.43/20.01 X590 @ 144.43/20.01 ( 144.43/20.01 setadjoin 144.43/20.01 @ 144.43/20.01 X592 @ 144.43/20.01 emptyset ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X594:$i, 144.43/20.01 X596:$i, 144.43/20.01 X598:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X598 @ 144.43/20.01 X596 ) => 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X598 @ 144.43/20.01 ( 144.43/20.01 binunion @ 144.43/20.01 X594 @ 144.43/20.01 X596 ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X600:$i, 144.43/20.01 X602:$i, 144.43/20.01 X604:$i, 144.43/20.01 X606:$o]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X604 @ 144.43/20.01 ( 144.43/20.01 binunion @ 144.43/20.01 X600 @ 144.43/20.01 X602 ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X604 @ 144.43/20.01 X600 ) => 144.43/20.01 ( 144.43/20.01 X606 ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X604 @ 144.43/20.01 X602 ) => 144.43/20.01 ( 144.43/20.01 X606 ) ) => 144.43/20.01 ( 144.43/20.01 X606 ) ) ) ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 ![ 144.43/20.01 X608:$i, 144.43/20.01 X610:$i, 144.43/20.01 X612:$i]: 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X612 @ 144.43/20.01 ( 144.43/20.01 binunion @ 144.43/20.01 X608 @ 144.43/20.01 X610 ) ) => 144.43/20.01 ( 144.43/20.01 ( 144.43/20.01 in @ 144.43/20.01 X612 @ 144.43/20.01 X610 ) | 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X612 @ 145.27/20.01 X608 ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X614:$i, 145.27/20.01 X616:$i]: 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 X614 @ 145.27/20.01 ( 145.27/20.01 binunion @ 145.27/20.01 X614 @ 145.27/20.01 X616 ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X618:$i, 145.27/20.01 X620:$i]: 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 X620 @ 145.27/20.01 ( 145.27/20.01 binunion @ 145.27/20.01 X618 @ 145.27/20.01 X620 ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X622:$i, 145.27/20.01 X624:$i, 145.27/20.01 X626:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X626 @ 145.27/20.01 X622 ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X626 @ 145.27/20.01 X624 ) => 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X626 @ 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X622 @ 145.27/20.01 X624 ) ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X628:$i, 145.27/20.01 X630:$i, 145.27/20.01 X632:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 X632 @ 145.27/20.01 X628 ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 X632 @ 145.27/20.01 X630 ) => 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 X632 @ 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X628 @ 145.27/20.01 X630 ) ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X634:$i, 145.27/20.01 X636:$i, 145.27/20.01 X638:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X638 @ 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X634 @ 145.27/20.01 X636 ) ) => 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X638 @ 145.27/20.01 X634 ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X640:$i, 145.27/20.01 X642:$i]: 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X640 @ 145.27/20.01 X642 ) @ 145.27/20.01 X640 ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X644:$i, 145.27/20.01 X646:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 X644 @ 145.27/20.01 X646 ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X644 @ 145.27/20.01 X646 ) = 145.27/20.01 ( 145.27/20.01 X644 ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X648:$i, 145.27/20.01 X650:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X648 @ 145.27/20.01 X650 ) = 145.27/20.01 ( 145.27/20.01 X650 ) ) => 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 X650 @ 145.27/20.01 X648 ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X652:$i, 145.27/20.01 X654:$i, 145.27/20.01 X656:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X656 @ 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X652 @ 145.27/20.01 X654 ) ) => 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X656 @ 145.27/20.01 X654 ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X658:$i, 145.27/20.01 X660:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ~( 145.27/20.01 ?[ 145.27/20.01 X662:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X662 @ 145.27/20.01 X658 ) & 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X662 @ 145.27/20.01 X660 ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X658 @ 145.27/20.01 X660 ) = 145.27/20.01 ( 145.27/20.01 emptyset ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X664:$i, 145.27/20.01 X666:$i]: 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X664 @ 145.27/20.01 X666 ) @ 145.27/20.01 X666 ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X668:$i, 145.27/20.01 X670:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 X670 @ 145.27/20.01 X668 ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X668 @ 145.27/20.01 X670 ) = 145.27/20.01 ( 145.27/20.01 X670 ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X672:$i, 145.27/20.01 X674:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X672 @ 145.27/20.01 X674 ) = 145.27/20.01 ( 145.27/20.01 X672 ) ) => 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 X672 @ 145.27/20.01 X674 ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X676:$i, 145.27/20.01 X678:$i, 145.27/20.01 X680:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X676 @ 145.27/20.01 ( 145.27/20.01 binunion @ 145.27/20.01 X678 @ 145.27/20.01 X680 ) ) = 145.27/20.01 ( 145.27/20.01 binunion @ 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X676 @ 145.27/20.01 X678 ) @ 145.27/20.01 ( 145.27/20.01 binintersect 145.27/20.01 @ 145.27/20.01 X676 @ 145.27/20.01 X680 ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X682:$i, 145.27/20.01 X684:$i, 145.27/20.01 X686:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X686 @ 145.27/20.01 X682 ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ~( 145.27/20.01 in @ 145.27/20.01 X686 @ 145.27/20.01 X684 ) ) => 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X686 @ 145.27/20.01 ( 145.27/20.01 setminus @ 145.27/20.01 X682 @ 145.27/20.01 X684 ) ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X688:$i, 145.27/20.01 X690:$i, 145.27/20.01 X692:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X692 @ 145.27/20.01 ( 145.27/20.01 setminus @ 145.27/20.01 X688 @ 145.27/20.01 X690 ) ) => 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X692 @ 145.27/20.01 X688 ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X694:$i, 145.27/20.01 X696:$i, 145.27/20.01 X698:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X698 @ 145.27/20.01 ( 145.27/20.01 setminus @ 145.27/20.01 X694 @ 145.27/20.01 X696 ) ) => 145.27/20.01 ( 145.27/20.01 ~( 145.27/20.01 in @ 145.27/20.01 X698 @ 145.27/20.01 X696 ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X700:$i, 145.27/20.01 X702:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 X700 @ 145.27/20.01 X702 ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 setminus @ 145.27/20.01 X700 @ 145.27/20.01 X702 ) = 145.27/20.01 ( 145.27/20.01 emptyset ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X704:$i, 145.27/20.01 X706:$i, 145.27/20.01 X708:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ~( 145.27/20.01 in @ 145.27/20.01 X708 @ 145.27/20.01 ( 145.27/20.01 setminus 145.27/20.01 @ 145.27/20.01 X704 @ 145.27/20.01 X706 ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X708 @ 145.27/20.01 X704 ) => 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X708 @ 145.27/20.01 X706 ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X710:$i, 145.27/20.01 X712:$i, 145.27/20.01 X714:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ~( 145.27/20.01 in @ 145.27/20.01 X714 @ 145.27/20.01 ( 145.27/20.01 setminus 145.27/20.01 @ 145.27/20.01 X710 @ 145.27/20.01 X712 ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ~( 145.27/20.01 in @ 145.27/20.01 X714 @ 145.27/20.01 X712 ) ) => 145.27/20.01 ( 145.27/20.01 ~( 145.27/20.01 in @ 145.27/20.01 X714 @ 145.27/20.01 X710 ) ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X716:$i, 145.27/20.01 X718:$i, 145.27/20.01 X720:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ~( 145.27/20.01 in @ 145.27/20.01 X720 @ 145.27/20.01 X716 ) ) => 145.27/20.01 ( 145.27/20.01 ~( 145.27/20.01 in @ 145.27/20.01 X720 @ 145.27/20.01 ( 145.27/20.01 setminus 145.27/20.01 @ 145.27/20.01 X716 @ 145.27/20.01 X718 ) ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X722:$i, 145.27/20.01 X724:$i, 145.27/20.01 X726:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X726 @ 145.27/20.01 X724 ) => 145.27/20.01 ( 145.27/20.01 ~( 145.27/20.01 in @ 145.27/20.01 X726 @ 145.27/20.01 ( 145.27/20.01 setminus 145.27/20.01 @ 145.27/20.01 X722 @ 145.27/20.01 X724 ) ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X728:$i, 145.27/20.01 X730:$i]: 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 ( 145.27/20.01 setminus @ 145.27/20.01 X728 @ 145.27/20.01 X730 ) @ 145.27/20.01 X728 ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X732:$i, 145.27/20.01 X734:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 setminus @ 145.27/20.01 X732 @ 145.27/20.01 X734 ) = 145.27/20.01 ( 145.27/20.01 emptyset ) ) => 145.27/20.01 ( 145.27/20.01 subset @ 145.27/20.01 X732 @ 145.27/20.01 X734 ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X736:$i, 145.27/20.01 X738:$i, 145.27/20.01 X740:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X740 @ 145.27/20.01 ( 145.27/20.01 symdiff @ 145.27/20.01 X736 @ 145.27/20.01 X738 ) ) => 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X742:$o]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X740 @ 145.27/20.01 X736 ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ~( 145.27/20.01 in @ 145.27/20.01 X740 @ 145.27/20.01 X738 ) ) => 145.27/20.01 ( 145.27/20.01 X742 ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ~( 145.27/20.01 in @ 145.27/20.01 X740 @ 145.27/20.01 X736 ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X740 @ 145.27/20.01 X738 ) => 145.27/20.01 ( 145.27/20.01 X742 ) ) ) => 145.27/20.01 ( 145.27/20.01 X742 ) ) ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X744:$i, 145.27/20.01 X746:$i, 145.27/20.01 X748:$i]: 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X748 @ 145.27/20.01 X744 ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ~( 145.27/20.01 in @ 145.27/20.01 X748 @ 145.27/20.01 X746 ) ) => 145.27/20.01 ( 145.27/20.01 in @ 145.27/20.01 X748 @ 145.27/20.01 ( 145.27/20.01 symdiff @ 145.27/20.01 X744 @ 145.27/20.01 X746 ) ) ) ) ) => 145.27/20.01 ( 145.27/20.01 ( 145.27/20.01 ![ 145.27/20.01 X750:$i, 145.27/20.01 X752:$i, 145.27/20.02 X754:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ~( 145.27/20.02 in @ 145.27/20.02 X754 @ 145.27/20.02 X750 ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X754 @ 145.27/20.02 X752 ) => 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X754 @ 145.27/20.02 ( 145.27/20.02 symdiff @ 145.27/20.02 X750 @ 145.27/20.02 X752 ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X756:$i, 145.27/20.02 X758:$i, 145.27/20.02 X760:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X760 @ 145.27/20.02 X756 ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X760 @ 145.27/20.02 X758 ) => 145.27/20.02 ( 145.27/20.02 ~( 145.27/20.02 in @ 145.27/20.02 X760 @ 145.27/20.02 ( 145.27/20.02 symdiff @ 145.27/20.02 X756 @ 145.27/20.02 X758 ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X762:$i, 145.27/20.02 X764:$i, 145.27/20.02 X766:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ~( 145.27/20.02 in @ 145.27/20.02 X766 @ 145.27/20.02 X762 ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ~( 145.27/20.02 in @ 145.27/20.02 X766 @ 145.27/20.02 X764 ) ) => 145.27/20.02 ( 145.27/20.02 ~( 145.27/20.02 in @ 145.27/20.02 X766 @ 145.27/20.02 ( 145.27/20.02 symdiff @ 145.27/20.02 X762 @ 145.27/20.02 X764 ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X768:$i, 145.27/20.02 X770:$i]: 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X770 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X768 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X770 @ 145.27/20.02 emptyset ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X772:$i, 145.27/20.02 X774:$i]: 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X772 @ 145.27/20.02 ( 145.27/20.02 setunion @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X772 @ 145.27/20.02 emptyset ) @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X772 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X774 @ 145.27/20.02 emptyset ) ) @ 145.27/20.02 emptyset ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X776:$i, 145.27/20.02 X778:$i]: 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X778 @ 145.27/20.02 ( 145.27/20.02 setunion @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X776 @ 145.27/20.02 emptyset ) @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X776 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X778 @ 145.27/20.02 emptyset ) ) @ 145.27/20.02 emptyset ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X780:$i, 145.27/20.02 X782:$i]: 145.27/20.02 ( 145.27/20.02 iskpair @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X780 @ 145.27/20.02 emptyset ) @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X780 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X782 @ 145.27/20.02 emptyset ) ) @ 145.27/20.02 emptyset ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X784:$i, 145.27/20.02 X786:$i]: 145.27/20.02 ( 145.27/20.02 iskpair @ 145.27/20.02 ( 145.27/20.02 kpair @ 145.27/20.02 X784 @ 145.27/20.02 X786 ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X788:$i, 145.27/20.02 X790:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X790 @ 145.27/20.02 X788 ) => 145.27/20.02 ( 145.27/20.02 subset @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X790 @ 145.27/20.02 emptyset ) @ 145.27/20.02 X788 ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X792:$i, 145.27/20.02 X794:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X794 @ 145.27/20.02 X792 ) => 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X794 @ 145.27/20.02 emptyset ) @ 145.27/20.02 ( 145.27/20.02 powerset @ 145.27/20.02 X792 ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X796:$i, 145.27/20.02 X798:$i, 145.27/20.02 X800:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X800 @ 145.27/20.02 X796 ) => 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X800 @ 145.27/20.02 emptyset ) @ 145.27/20.02 ( 145.27/20.02 powerset @ 145.27/20.02 ( 145.27/20.02 binunion @ 145.27/20.02 X796 @ 145.27/20.02 X798 ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X802:$i, 145.27/20.02 X804:$i, 145.27/20.02 X806:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X806 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X802 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X804 @ 145.27/20.02 emptyset ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X806 ) = 145.27/20.02 ( 145.27/20.02 X804 ) ) | 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X806 ) = 145.27/20.02 ( 145.27/20.02 X802 ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X808:$i, 145.27/20.02 X810:$i, 145.27/20.02 X812:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X812 @ 145.27/20.02 X808 ) => 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X814:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X814 @ 145.27/20.02 X810 ) => 145.27/20.02 ( 145.27/20.02 subset @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X812 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X814 @ 145.27/20.02 emptyset ) ) @ 145.27/20.02 ( 145.27/20.02 binunion @ 145.27/20.02 X808 @ 145.27/20.02 X810 ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X816:$i, 145.27/20.02 X818:$i, 145.27/20.02 X820:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X820 @ 145.27/20.02 X816 ) => 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X822:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X822 @ 145.27/20.02 X818 ) => 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X820 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X822 @ 145.27/20.02 emptyset ) ) @ 145.27/20.02 ( 145.27/20.02 powerset @ 145.27/20.02 ( 145.27/20.02 binunion @ 145.27/20.02 X816 @ 145.27/20.02 X818 ) ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X824:$i, 145.27/20.02 X826:$i, 145.27/20.02 X828:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X828 @ 145.27/20.02 X824 ) => 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X830:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X830 @ 145.27/20.02 X826 ) => 145.27/20.02 ( 145.27/20.02 subset @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X828 @ 145.27/20.02 emptyset ) @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X828 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X830 @ 145.27/20.02 emptyset ) ) @ 145.27/20.02 emptyset ) ) @ 145.27/20.02 ( 145.27/20.02 powerset @ 145.27/20.02 ( 145.27/20.02 binunion @ 145.27/20.02 X824 @ 145.27/20.02 X826 ) ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X832:$i, 145.27/20.02 X834:$i, 145.27/20.02 X836:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X836 @ 145.27/20.02 X832 ) => 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X838:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X838 @ 145.27/20.02 X834 ) => 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X836 @ 145.27/20.02 emptyset ) @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X836 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X838 @ 145.27/20.02 emptyset ) ) @ 145.27/20.02 emptyset ) ) @ 145.27/20.02 ( 145.27/20.02 powerset @ 145.27/20.02 ( 145.27/20.02 powerset @ 145.27/20.02 ( 145.27/20.02 binunion @ 145.27/20.02 X832 @ 145.27/20.02 X834 ) ) ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X840:$i, 145.27/20.02 X842:$i, 145.27/20.02 X844:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X844 @ 145.27/20.02 X840 ) => 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X846:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X846 @ 145.27/20.02 X842 ) => 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 ( 145.27/20.02 kpair @ 145.27/20.02 X844 @ 145.27/20.02 X846 ) @ 145.27/20.02 ( 145.27/20.02 powerset @ 145.27/20.02 ( 145.27/20.02 powerset @ 145.27/20.02 ( 145.27/20.02 binunion @ 145.27/20.02 X840 @ 145.27/20.02 X842 ) ) ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X848:$i, 145.27/20.02 X850:$i, 145.27/20.02 X852:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X852 @ 145.27/20.02 X848 ) => 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X854:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X854 @ 145.27/20.02 X850 ) => 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 ( 145.27/20.02 kpair @ 145.27/20.02 X852 @ 145.27/20.02 X854 ) @ 145.27/20.02 ( 145.27/20.02 cartprod @ 145.27/20.02 X848 @ 145.27/20.02 X850 ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X856:$i, 145.27/20.02 X858:$i, 145.27/20.02 X860:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X860 @ 145.27/20.02 ( 145.27/20.02 cartprod @ 145.27/20.02 X856 @ 145.27/20.02 X858 ) ) => 145.27/20.02 ( 145.27/20.02 ?[ 145.27/20.02 X862:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X862 @ 145.27/20.02 X856 ) & 145.27/20.02 ( 145.27/20.02 ?[ 145.27/20.02 X864:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X864 @ 145.27/20.02 X858 ) & 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X860 ) = 145.27/20.02 ( 145.27/20.02 kpair @ 145.27/20.02 X862 @ 145.27/20.02 X864 ) ) ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X866:$i, 145.27/20.02 X868:$i, 145.27/20.02 X870:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X870 @ 145.27/20.02 ( 145.27/20.02 cartprod @ 145.27/20.02 X866 @ 145.27/20.02 X868 ) ) => 145.27/20.02 ( 145.27/20.02 iskpair @ 145.27/20.02 X870 ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X872:$i, 145.27/20.02 X874:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X874 @ 145.27/20.02 ( 145.27/20.02 setunion @ 145.27/20.02 X872 ) ) => 145.27/20.02 ( 145.27/20.02 ?[ 145.27/20.02 X876:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X876 @ 145.27/20.02 X872 ) & 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X874 @ 145.27/20.02 X876 ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X878:$i]: 145.27/20.02 ( 145.27/20.02 subset @ 145.27/20.02 ( 145.27/20.02 setunion @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X878 @ 145.27/20.02 emptyset ) ) @ 145.27/20.02 X878 ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X880:$i]: 145.27/20.02 ( 145.27/20.02 subset @ 145.27/20.02 X880 @ 145.27/20.02 ( 145.27/20.02 setunion @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X880 @ 145.27/20.02 emptyset ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X882:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 setunion @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X882 @ 145.27/20.02 emptyset ) ) = 145.27/20.02 ( 145.27/20.02 X882 ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X884:$i, 145.27/20.02 X886:( 145.27/20.02 $i > $o )]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X888:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X888 @ 145.27/20.02 X884 ) => 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X890:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X890 @ 145.27/20.02 X884 ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X886 @ 145.27/20.02 X888 ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X886 @ 145.27/20.02 X890 ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X888 ) = 145.27/20.02 ( 145.27/20.02 X890 ) ) ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ?[ 145.27/20.02 X892:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X892 @ 145.27/20.02 X884 ) & 145.27/20.02 ( 145.27/20.02 X886 @ 145.27/20.02 X892 ) ) ) => 145.27/20.02 ( 145.27/20.02 ?[ 145.27/20.02 X894:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X894 @ 145.27/20.02 ( 145.27/20.02 dsetconstr 145.27/20.02 @ 145.27/20.02 X884 @ 145.27/20.02 ( 145.27/20.02 ^[ 145.27/20.02 V_16:$i]: 145.27/20.02 ( 145.27/20.02 X886 @ 145.27/20.02 V_16 ) ) ) ) & 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 dsetconstr 145.27/20.02 @ 145.27/20.02 X884 @ 145.27/20.02 ( 145.27/20.02 ^[ 145.27/20.02 V_15:$i]: 145.27/20.02 ( 145.27/20.02 X886 @ 145.27/20.02 V_15 ) ) ) = 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X894 @ 145.27/20.02 emptyset ) ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X896:$i, 145.27/20.02 X898:( 145.27/20.02 $i > $o )]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ?[ 145.27/20.02 X900:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X900 @ 145.27/20.02 ( 145.27/20.02 dsetconstr 145.27/20.02 @ 145.27/20.02 X896 @ 145.27/20.02 ( 145.27/20.02 ^[ 145.27/20.02 V_18:$i]: 145.27/20.02 ( 145.27/20.02 X898 @ 145.27/20.02 V_18 ) ) ) ) & 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 dsetconstr 145.27/20.02 @ 145.27/20.02 X896 @ 145.27/20.02 ( 145.27/20.02 ^[ 145.27/20.02 V_17:$i]: 145.27/20.02 ( 145.27/20.02 X898 @ 145.27/20.02 V_17 ) ) ) = 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X900 @ 145.27/20.02 emptyset ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ?[ 145.27/20.02 X902:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X902 @ 145.27/20.02 X896 ) & 145.27/20.02 ( 145.27/20.02 X898 @ 145.27/20.02 X902 ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X904:$i, 145.27/20.02 X906:( 145.27/20.02 $i > $o ), 145.27/20.02 X908:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X908 @ 145.27/20.02 X904 ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X906 @ 145.27/20.02 X908 ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X910:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X910 @ 145.27/20.02 X904 ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X906 @ 145.27/20.02 X910 ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X910 ) = 145.27/20.02 ( 145.27/20.02 X908 ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ?[ 145.27/20.02 X912:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X912 @ 145.27/20.02 ( 145.27/20.02 dsetconstr 145.27/20.02 @ 145.27/20.02 X904 @ 145.27/20.02 ( 145.27/20.02 ^[ 145.27/20.02 V_20:$i]: 145.27/20.02 ( 145.27/20.02 X906 @ 145.27/20.02 V_20 ) ) ) ) & 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 dsetconstr 145.27/20.02 @ 145.27/20.02 X904 @ 145.27/20.02 ( 145.27/20.02 ^[ 145.27/20.02 V_19:$i]: 145.27/20.02 ( 145.27/20.02 X906 @ 145.27/20.02 V_19 ) ) ) = 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X912 @ 145.27/20.02 emptyset ) ) ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X914:$i, 145.27/20.02 X916:( 145.27/20.02 $i > $o )]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X918:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X918 @ 145.27/20.02 X914 ) => 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X920:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X920 @ 145.27/20.02 X914 ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X916 @ 145.27/20.02 X918 ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X916 @ 145.27/20.02 X920 ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X918 ) = 145.27/20.02 ( 145.27/20.02 X920 ) ) ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ?[ 145.27/20.02 X922:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X922 @ 145.27/20.02 X914 ) & 145.27/20.02 ( 145.27/20.02 X916 @ 145.27/20.02 X922 ) ) ) => 145.27/20.02 ( 145.27/20.02 ?[ 145.27/20.02 X924:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X924 @ 145.27/20.02 ( 145.27/20.02 dsetconstr 145.27/20.02 @ 145.27/20.02 X914 @ 145.27/20.02 ( 145.27/20.02 ^[ 145.27/20.02 V_22:$i]: 145.27/20.02 ( 145.27/20.02 X916 @ 145.27/20.02 V_22 ) ) ) ) & 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 dsetconstr 145.27/20.02 @ 145.27/20.02 X914 @ 145.27/20.02 ( 145.27/20.02 ^[ 145.27/20.02 V_21:$i]: 145.27/20.02 ( 145.27/20.02 X916 @ 145.27/20.02 V_21 ) ) ) = 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X924 @ 145.27/20.02 emptyset ) ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X926:$i, 145.27/20.02 X928:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X926 @ 145.27/20.02 emptyset ) = 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X928 @ 145.27/20.02 emptyset ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X926 ) = 145.27/20.02 ( 145.27/20.02 X928 ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X930:$i, 145.27/20.02 X932:$i, 145.27/20.02 X934:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X934 @ 145.27/20.02 emptyset ) @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X930 @ 145.27/20.02 emptyset ) @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X930 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X932 @ 145.27/20.02 emptyset ) ) @ 145.27/20.02 emptyset ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X930 ) = 145.27/20.02 ( 145.27/20.02 X934 ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X936:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 iskpair @ 145.27/20.02 X936 ) => 145.27/20.02 ( 145.27/20.02 ?[ 145.27/20.02 X938:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X938 @ 145.27/20.02 ( 145.27/20.02 dsetconstr 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setunion @ 145.27/20.02 X936 ) @ 145.27/20.02 ( 145.27/20.02 ^[ 145.27/20.02 V_24:$i]: 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 V_24 @ 145.27/20.02 emptyset ) @ 145.27/20.02 X936 ) ) ) ) & 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 dsetconstr 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setunion @ 145.27/20.02 X936 ) @ 145.27/20.02 ( 145.27/20.02 ^[ 145.27/20.02 V_23:$i]: 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 V_23 @ 145.27/20.02 emptyset ) @ 145.27/20.02 X936 ) ) ) = 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X938 @ 145.27/20.02 emptyset ) ) ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X940:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ?[ 145.27/20.02 X942:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X942 @ 145.27/20.02 X940 ) & 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X940 ) = 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X942 @ 145.27/20.02 emptyset ) ) ) ) => 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 ( 145.27/20.02 setunion @ 145.27/20.02 X940 ) @ 145.27/20.02 X940 ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X944:$i, 145.27/20.02 X946:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 kfst @ 145.27/20.02 ( 145.27/20.02 kpair @ 145.27/20.02 X944 @ 145.27/20.02 X946 ) ) = 145.27/20.02 ( 145.27/20.02 X944 ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X948:$i, 145.27/20.02 X950:$i, 145.27/20.02 X952:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 X952 @ 145.27/20.02 ( 145.27/20.02 cartprod @ 145.27/20.02 X948 @ 145.27/20.02 X950 ) ) => 145.27/20.02 ( 145.27/20.02 in @ 145.27/20.02 ( 145.27/20.02 kfst @ 145.27/20.02 X952 ) @ 145.27/20.02 X948 ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X954:$i, 145.27/20.02 X956:$i, 145.27/20.02 X958:$i, 145.27/20.02 X960:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X954 @ 145.27/20.02 emptyset ) @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X954 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X956 @ 145.27/20.02 emptyset ) ) @ 145.27/20.02 emptyset ) ) = 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X958 @ 145.27/20.02 emptyset ) @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X958 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X960 @ 145.27/20.02 emptyset ) ) @ 145.27/20.02 emptyset ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X954 ) = 145.27/20.02 ( 145.27/20.02 X958 ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X962:$i, 145.27/20.02 X964:$i, 145.27/20.02 X966:$i, 145.27/20.02 X968:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 kpair @ 145.27/20.02 X962 @ 145.27/20.02 X964 ) = 145.27/20.02 ( 145.27/20.02 kpair @ 145.27/20.02 X966 @ 145.27/20.02 X968 ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X962 ) = 145.27/20.02 ( 145.27/20.02 X966 ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X970:$i, 145.27/20.02 X972:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 X970 ) = 145.27/20.02 ( 145.27/20.02 X972 ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X970 @ 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X972 @ 145.27/20.02 emptyset ) ) = 145.27/20.02 ( 145.27/20.02 setadjoin 145.27/20.02 @ 145.27/20.02 X970 @ 145.27/20.02 emptyset ) ) ) ) => 145.27/20.02 ( 145.27/20.02 ( 145.27/20.02 ![ 145.27/20.02 X974:$i, 145.27/20.02 X976:$i]: 145.27/20.02 ( 145.27/20.02 ( 145.27/20.03 ( 145.27/20.03 X974 ) = 145.27/20.03 ( 145.27/20.03 X976 ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X974 @ 145.27/20.03 emptyset ) @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X974 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X976 @ 145.27/20.03 emptyset ) ) @ 145.27/20.03 emptyset ) ) = 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X974 @ 145.27/20.03 emptyset ) @ 145.27/20.03 emptyset ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X978:$i, 145.27/20.03 X980:$i, 145.27/20.03 X982:$i, 145.27/20.03 X984:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X978 @ 145.27/20.03 emptyset ) @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X978 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X980 @ 145.27/20.03 emptyset ) ) @ 145.27/20.03 emptyset ) ) = 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X982 @ 145.27/20.03 emptyset ) @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X982 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X984 @ 145.27/20.03 emptyset ) ) @ 145.27/20.03 emptyset ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X982 ) = 145.27/20.03 ( 145.27/20.03 X984 ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X980 ) = 145.27/20.03 ( 145.27/20.03 X984 ) ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X986:$i, 145.27/20.03 X988:$i, 145.27/20.03 X990:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X986 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X988 @ 145.27/20.03 emptyset ) ) = 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X990 @ 145.27/20.03 emptyset ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X986 ) = 145.27/20.03 ( 145.27/20.03 X988 ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X992:$i, 145.27/20.03 X994:$i, 145.27/20.03 X996:$i, 145.27/20.03 X998:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X992 @ 145.27/20.03 emptyset ) @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X992 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X994 @ 145.27/20.03 emptyset ) ) @ 145.27/20.03 emptyset ) ) = 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X996 @ 145.27/20.03 emptyset ) @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X996 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X998 @ 145.27/20.03 emptyset ) ) @ 145.27/20.03 emptyset ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X994 ) = 145.27/20.03 ( 145.27/20.03 X998 ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1000:$i, 145.27/20.03 X1002:$i, 145.27/20.03 X1004:$i, 145.27/20.03 X1006:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 X1000 @ 145.27/20.03 X1002 ) = 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 X1004 @ 145.27/20.03 X1006 ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X1002 ) = 145.27/20.03 ( 145.27/20.03 X1006 ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1008:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 iskpair @ 145.27/20.03 X1008 ) => 145.27/20.03 ( 145.27/20.03 ?[ 145.27/20.03 X1010:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1010 @ 145.27/20.03 ( 145.27/20.03 dsetconstr 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 setunion @ 145.27/20.03 X1008 ) @ 145.27/20.03 ( 145.27/20.03 ^[ 145.27/20.03 V_26:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X1008 ) = 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 ( 145.27/20.03 kfst @ 145.27/20.03 X1008 ) @ 145.27/20.03 V_26 ) ) ) ) ) & 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 dsetconstr 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 setunion @ 145.27/20.03 X1008 ) @ 145.27/20.03 ( 145.27/20.03 ^[ 145.27/20.03 V_25:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X1008 ) = 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 ( 145.27/20.03 kfst @ 145.27/20.03 X1008 ) @ 145.27/20.03 V_25 ) ) ) ) = 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X1010 @ 145.27/20.03 emptyset ) ) ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1012:$i, 145.27/20.03 X1014:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ksnd @ 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 X1012 @ 145.27/20.03 X1014 ) ) = 145.27/20.03 ( 145.27/20.03 X1014 ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1016:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 iskpair @ 145.27/20.03 X1016 ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 ( 145.27/20.03 kfst @ 145.27/20.03 X1016 ) @ 145.27/20.03 ( 145.27/20.03 ksnd @ 145.27/20.03 X1016 ) ) = 145.27/20.03 ( 145.27/20.03 X1016 ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1018:$i, 145.27/20.03 X1020:$i, 145.27/20.03 X1022:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1022 @ 145.27/20.03 ( 145.27/20.03 cartprod @ 145.27/20.03 X1018 @ 145.27/20.03 X1020 ) ) => 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 ( 145.27/20.03 ksnd @ 145.27/20.03 X1022 ) @ 145.27/20.03 X1020 ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1024:$i, 145.27/20.03 X1026:$i, 145.27/20.03 X1028:$i, 145.27/20.03 X1030:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 X1028 @ 145.27/20.03 X1030 ) @ 145.27/20.03 ( 145.27/20.03 cartprod @ 145.27/20.03 X1024 @ 145.27/20.03 X1026 ) ) => 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1028 @ 145.27/20.03 X1024 ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1032:$i, 145.27/20.03 X1034:$i, 145.27/20.03 X1036:$i, 145.27/20.03 X1038:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 X1036 @ 145.27/20.03 X1038 ) @ 145.27/20.03 ( 145.27/20.03 cartprod @ 145.27/20.03 X1032 @ 145.27/20.03 X1034 ) ) => 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1038 @ 145.27/20.03 X1034 ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1040:$i, 145.27/20.03 X1042:$i, 145.27/20.03 X1044:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1044 @ 145.27/20.03 X1040 ) => 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1046:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1046 @ 145.27/20.03 X1042 ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 X1044 @ 145.27/20.03 X1046 ) = 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 X1044 @ 145.27/20.03 X1046 ) ) ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1048:$i, 145.27/20.03 X1050:$i, 145.27/20.03 X1052:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1052 @ 145.27/20.03 X1048 ) => 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1054:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1054 @ 145.27/20.03 X1050 ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 kfst @ 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 X1052 @ 145.27/20.03 X1054 ) ) = 145.27/20.03 ( 145.27/20.03 X1052 ) ) ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1056:$i, 145.27/20.03 X1058:$i, 145.27/20.03 X1060:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1060 @ 145.27/20.03 X1056 ) => 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1062:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1062 @ 145.27/20.03 X1058 ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ksnd @ 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 X1060 @ 145.27/20.03 X1062 ) ) = 145.27/20.03 ( 145.27/20.03 X1062 ) ) ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1064:$i, 145.27/20.03 X1066:$i, 145.27/20.03 X1068:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1068 @ 145.27/20.03 ( 145.27/20.03 cartprod @ 145.27/20.03 X1064 @ 145.27/20.03 X1066 ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 ( 145.27/20.03 kfst @ 145.27/20.03 X1068 ) @ 145.27/20.03 ( 145.27/20.03 ksnd @ 145.27/20.03 X1068 ) ) = 145.27/20.03 ( 145.27/20.03 X1068 ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1070:$i, 145.27/20.03 X1072:$i, 145.27/20.03 X1074:( 145.27/20.03 $i > $i > 145.27/20.03 $o ), 145.27/20.03 X1076:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1076 @ 145.27/20.03 X1070 ) => 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X1078:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1078 @ 145.27/20.03 X1072 ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X1074 @ 145.27/20.03 X1076 @ 145.27/20.03 X1078 ) => 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 X1076 @ 145.27/20.03 X1078 ) @ 145.27/20.03 ( 145.27/20.03 dsetconstr 145.27/20.03 @ 145.27/20.03 ( 145.27/20.03 cartprod @ 145.27/20.03 X1070 @ 145.27/20.03 X1072 ) @ 145.27/20.03 ( 145.27/20.03 ^[ 145.27/20.03 V_27:$i]: 145.27/20.03 ( 145.27/20.03 ?[ 145.27/20.03 X1080:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1080 @ 145.27/20.03 X1070 ) & 145.27/20.03 ( 145.27/20.03 ?[ 145.27/20.03 X1082:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X1082 @ 145.27/20.03 X1072 ) & 145.27/20.03 ( 145.27/20.03 X1074 @ 145.27/20.03 X1080 @ 145.27/20.03 X1082 ) & 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 V_27 ) = 145.27/20.03 ( 145.27/20.03 kpair @ 145.27/20.03 X1080 @ 145.27/20.03 X1082 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 145.27/20.03 thf(zf_stmt_1, type, zip_tseitin_5 : $i > ( $i > $o ) > $o). 145.27/20.03 thf(zf_stmt_2, axiom, 145.27/20.03 (![X422:$i,X414:( $i > $o )]: 145.27/20.03 ( ( zip_tseitin_5 @ X422 @ X414 ) <=> 145.27/20.03 ( ( ![X424:$i]: ( zip_tseitin_4 @ X424 @ X422 @ X414 ) ) & 145.27/20.03 ( X414 @ X422 ) ) ))). 145.27/20.03 thf(zf_stmt_3, type, zip_tseitin_4 : $i > $i > ( $i > $o ) > $o). 145.27/20.03 thf(zf_stmt_4, axiom, 145.27/20.03 (![X424:$i,X422:$i,X414:( $i > $o )]: 145.27/20.03 ( ( zip_tseitin_4 @ X424 @ X422 @ X414 ) <=> 145.27/20.03 ( ( X414 @ X424 ) => ( ( X422 ) = ( X424 ) ) ) ))). 145.27/20.03 thf(zf_stmt_5, type, zip_tseitin_3 : $i > $i > $i > ( $i > $i > $o ) > $o). 145.27/20.03 thf(zf_stmt_6, axiom, 145.27/20.03 (![X52:$i,X50:$i,X40:$i,X38:( $i > $i > $o )]: 145.27/20.03 ( ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) <=> 145.27/20.03 ( ( X38 @ X52 @ X50 ) & ( in @ X52 @ X40 ) ) ))). 145.27/20.03 thf(zf_stmt_7, type, zip_tseitin_2 : $i > $i > $i > $o). 145.27/20.03 thf(zf_stmt_8, axiom, 145.27/20.03 (![X28:$i,X26:$i,X24:$i]: 145.27/20.03 ( ( zip_tseitin_2 @ X28 @ X26 @ X24 ) <=> 145.27/20.03 ( ( in @ X28 @ X24 ) & ( in @ X26 @ X28 ) ) ))). 145.27/20.03 thf(zf_stmt_9, type, zip_tseitin_1 : $i > $i > $i > $o). 145.27/20.03 thf(zf_stmt_10, axiom, 145.27/20.03 (![X22:$i,X20:$i,X18:$i]: 145.27/20.03 ( ( zip_tseitin_1 @ X22 @ X20 @ X18 ) <=> 145.27/20.03 ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ))). 145.27/20.03 thf(zf_stmt_11, type, zip_tseitin_0 : $i > $i > $i > $o). 145.27/20.03 thf(zf_stmt_12, axiom, 145.27/20.03 (![X16:$i,X14:$i,X12:$i]: 145.27/20.03 ( ( zip_tseitin_0 @ X16 @ X14 @ X12 ) <=> 145.27/20.03 ( ( ( X16 ) = ( X12 ) ) | ( in @ X16 @ X14 ) ) ))). 145.27/20.03 thf(zf_stmt_13, conjecture, 145.27/20.03 (( ![X4:$i,X6:$i]: 145.27/20.03 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 145.27/20.03 ( ( X4 ) = ( X6 ) ) ) ) => 145.27/20.03 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 145.27/20.03 ( ( ![X12:$i,X14:$i,X16:$i]: 145.27/20.03 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 145.27/20.03 ( zip_tseitin_0 @ X16 @ X14 @ X12 ) ) ) => 145.27/20.03 ( ( ![X18:$i,X20:$i]: 145.27/20.03 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 145.27/20.03 ( ![X22:$i]: ( zip_tseitin_1 @ X22 @ X20 @ X18 ) ) ) ) => 145.27/20.03 ( ( ![X24:$i,X26:$i]: 145.27/20.03 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 145.27/20.03 ( ?[X28:$i]: ( zip_tseitin_2 @ X28 @ X26 @ X24 ) ) ) ) => 145.27/20.03 ( ( in @ emptyset @ omega ) => 145.27/20.03 ( ( ![X30:$i]: 145.27/20.03 ( ( in @ X30 @ omega ) => 145.27/20.03 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 145.27/20.03 ( ( ![X32:$i]: 145.27/20.03 ( ( ( in @ emptyset @ X32 ) & 145.27/20.03 ( ![X34:$i]: 145.27/20.03 ( ( ( in @ X34 @ omega ) & ( in @ X34 @ X32 ) ) => 145.27/20.03 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) ) => 145.27/20.03 ( ![X36:$i]: 145.27/20.03 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 145.27/20.03 ( ( ![X38:( $i > $i > $o ),X40:$i]: 145.27/20.03 ( ( ![X42:$i]: 145.27/20.03 ( ( in @ X42 @ X40 ) => 145.27/20.03 ( ?[X44:$i]: 145.27/20.03 ( ( ![X46:$i]: 145.27/20.03 ( ( X38 @ X42 @ X46 ) => 145.27/20.03 ( ( X44 ) = ( X46 ) ) ) ) & 145.27/20.03 ( X38 @ X42 @ X44 ) ) ) ) ) => 145.27/20.03 ( ?[X48:$i]: 145.27/20.03 ( ![X50:$i]: 145.27/20.03 ( ( in @ X50 @ X48 ) <=> 145.27/20.03 ( ?[X52:$i]: 145.27/20.03 ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) ) ) ) ) ) ) => 145.27/20.03 ( ( ![X54:$i]: 145.27/20.03 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 145.27/20.03 ( ?[X58:$i]: 145.27/20.03 ( ( ~( ?[X60:$i]: 145.27/20.03 ( ( in @ X60 @ X54 ) & ( in @ X60 @ X58 ) ) ) ) & 145.27/20.03 ( in @ X58 @ X54 ) ) ) ) ) => 145.27/20.03 ( ( ![X62:$i]: 145.27/20.03 ( ?[X64:$i]: 145.27/20.03 ( ( ![X66:$i]: 145.27/20.03 ( ( ( ![X68:$i]: 145.27/20.03 ( ( in @ X68 @ X66 ) => 145.27/20.03 ( in @ X68 @ X62 ) ) ) & 145.27/20.03 ( ?[X70:$i]: ( in @ X70 @ X66 ) ) ) => 145.27/20.03 ( ?[X72:$i,X74:$i]: 145.27/20.03 ( ( ![X76:$i]: 145.27/20.03 ( ( in @ X76 @ X64 ) => 145.27/20.03 ( ( ![X78:$i]: 145.27/20.03 ( ( in @ X78 @ X76 ) => 145.27/20.03 ( in @ X78 @ X72 ) ) ) | 145.27/20.03 ( in @ X74 @ X76 ) ) ) ) & 145.27/20.03 ( ~( ?[X80:$i]: 145.27/20.03 ( ( in @ X80 @ X66 ) & 145.27/20.03 ( in @ X80 @ X72 ) ) ) ) & 145.27/20.03 ( in @ X74 @ X66 ) & ( in @ X72 @ X64 ) ) ) ) ) & 145.27/20.03 ( ![X82:$i,X84:$i]: 145.27/20.03 ( ( ( in @ X82 @ X64 ) & ( in @ X84 @ X64 ) ) => 145.27/20.03 ( ( ![X86:$i]: 145.27/20.03 ( ( in @ X86 @ X82 ) => 145.27/20.03 ( in @ X86 @ X84 ) ) ) | 145.27/20.03 ( ![X88:$i]: 145.27/20.03 ( ( in @ X88 @ X84 ) => 145.27/20.03 ( in @ X88 @ X82 ) ) ) ) ) ) & 145.27/20.03 ( ![X90:$i,X92:$i]: 145.27/20.03 ( ( ( in @ X90 @ X62 ) & ( in @ X92 @ X62 ) ) => 145.27/20.03 ( ( ![X94:$i]: 145.27/20.03 ( ( in @ X94 @ X64 ) => 145.27/20.03 ( ( in @ X90 @ X94 ) <=> 145.27/20.03 ( in @ X92 @ X94 ) ) ) ) => 145.27/20.03 ( ( X90 ) = ( X92 ) ) ) ) ) & 145.27/20.03 ( ![X96:$i]: 145.27/20.03 ( ( in @ X96 @ X64 ) => 145.27/20.03 ( ![X98:$i]: 145.27/20.03 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) ) ) ) => 145.27/20.03 ( ( ![X100:( $i > $o )]: 145.27/20.03 ( ( ?[X102:$i]: 145.27/20.03 ( ( ![X104:$i]: 145.27/20.03 ( ( X100 @ X104 ) => 145.27/20.03 ( ( X102 ) = ( X104 ) ) ) ) & 145.27/20.03 ( X100 @ X102 ) ) ) => 145.27/20.03 ( X100 @ 145.27/20.03 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 145.27/20.03 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 145.27/20.03 ( ( in @ X110 @ X106 ) => 145.27/20.03 ( ( X108 @ X110 ) => 145.27/20.03 ( in @ 145.27/20.03 X110 @ 145.27/20.03 ( dsetconstr @ 145.27/20.03 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 145.27/20.03 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 145.27/20.03 ( ( in @ 145.27/20.03 X116 @ 145.27/20.03 ( dsetconstr @ 145.27/20.03 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 145.27/20.03 ( in @ X116 @ X112 ) ) ) => 145.27/20.03 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 145.27/20.03 ( ( in @ 145.27/20.03 X122 @ 145.27/20.03 ( dsetconstr @ 145.27/20.03 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 145.27/20.03 ( X120 @ X122 ) ) ) => 145.27/20.03 ( ( ![X124:( $i > $o )]: 145.27/20.03 ( ( ?[X126:$i]: 145.27/20.03 ( ( ![X128:$i]: 145.27/20.03 ( ( X124 @ X128 ) => 145.27/20.03 ( ( X126 ) = ( X128 ) ) ) ) & 145.27/20.03 ( X124 @ X126 ) ) ) => 145.27/20.03 ( ?[X130:$i]: 145.27/20.03 ( ( ![X132:$i]: 145.27/20.03 ( ( X124 @ X132 ) => 145.27/20.03 ( ( X130 ) = ( X132 ) ) ) ) & 145.27/20.03 ( X124 @ X130 ) ) ) ) ) => 145.27/20.03 ( ( ![X134:$o,X136:$i]: 145.27/20.03 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 145.27/20.03 ( X134 ) ) ) => 145.27/20.03 ( ( ![X138:$i]: 145.27/20.03 ( ( in @ X138 @ emptyset ) => 145.27/20.03 ( ![X140:$o]: ( X140 ) ) ) ) => 145.27/20.03 ( ( ![X142:$i]: 145.27/20.03 ( ~( in @ X142 @ emptyset ) ) ) => 145.27/20.03 ( ( ![X144:$i]: 145.27/20.03 ( ~( in @ X144 @ emptyset ) ) ) => 145.27/20.03 ( ( ![X146:( $i > $o )]: 145.27/20.03 ( ( ?[X148:$i]: 145.27/20.03 ( ( ![X150:$i]: 145.27/20.03 ( ( X146 @ X150 ) => 145.27/20.03 ( ( X148 ) = ( X150 ) ) ) ) & 145.27/20.03 ( X146 @ X148 ) ) ) => 145.27/20.03 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 145.27/20.03 ( ( ![X154:$i,X156:$i]: 145.27/20.03 ( ( ![X158:$i]: 145.27/20.03 ( ( in @ X158 @ X154 ) => 145.27/20.03 ( in @ X158 @ X156 ) ) ) => 145.27/20.03 ( ( ![X160:$i]: 145.27/20.03 ( ( in @ X160 @ X156 ) => 145.27/20.03 ( in @ X160 @ X154 ) ) ) => 145.27/20.03 ( ( X154 ) = ( X156 ) ) ) ) ) => 145.27/20.03 ( ( ![X162:$i]: 145.27/20.03 ( ( ![X164:$i]: 145.27/20.03 ( ~( in @ X164 @ X162 ) ) ) => 145.27/20.03 ( ( X162 ) = ( emptyset ) ) ) ) => 145.27/20.03 ( ( ![X166:$i]: 145.27/20.03 ( ( ![X168:$i]: 145.27/20.03 ( ~( in @ X168 @ X166 ) ) ) => 145.27/20.03 ( ( X166 ) = 145.27/20.03 ( emptyset ) ) ) ) => 145.27/20.03 ( ( ![X170:$i, 145.27/20.03 X172:( $i > $o ), 145.27/20.03 X174:$i]: 145.27/20.03 ( ( in @ X174 @ X170 ) => 145.27/20.03 ( ( in @ 145.27/20.03 X174 @ 145.27/20.03 ( dsetconstr @ 145.27/20.03 X170 @ 145.27/20.03 ( ^[V_5:$i]: 145.27/20.03 ( X172 @ V_5 ) ) ) ) <=> 145.27/20.03 ( X172 @ X174 ) ) ) ) => 145.27/20.03 ( ( ![X176:$i]: 145.27/20.03 ( ( ( X176 ) != 145.27/20.03 ( emptyset ) ) => 145.27/20.03 ( ?[X178:$i]: 145.27/20.03 ( in @ X178 @ X176 ) ) ) ) => 145.27/20.03 ( ( ![X180:$i, 145.27/20.03 X182:( $i > $o ), 145.27/20.03 X184:$i]: 145.27/20.03 ( ( in @ X184 @ X180 ) => 145.27/20.03 ( ( X182 @ X184 ) => 145.27/20.03 ( ( dsetconstr @ 145.27/20.03 X180 @ 145.27/20.03 ( ^[ 145.27/20.03 V_6:$i]: 145.27/20.03 ( 145.27/20.03 X182 @ V_6 ) ) ) != 145.27/20.03 ( emptyset ) ) ) ) ) => 145.27/20.03 ( ( ![X186:$i]: 145.27/20.03 ( ( ?[X188:$i]: 145.27/20.03 ( in @ 145.27/20.03 X188 @ X186 ) ) => 145.27/20.03 ( ( X186 ) != 145.27/20.03 ( emptyset ) ) ) ) => 145.27/20.03 ( ( ![X190:$i, 145.27/20.03 X192:$i]: 145.27/20.03 ( in @ 145.27/20.03 X190 @ 145.27/20.03 ( setadjoin @ 145.27/20.03 X190 @ X192 ) ) ) => 145.27/20.03 ( ( in @ 145.27/20.03 emptyset @ 145.27/20.03 ( setadjoin @ 145.27/20.03 emptyset @ 145.27/20.03 emptyset ) ) => 145.27/20.03 ( ( ![X194:$i, 145.27/20.03 X196:$i, 145.27/20.03 X198:$i]: 145.27/20.03 ( ( 145.27/20.03 in @ 145.27/20.03 X198 @ 145.27/20.03 X196 ) => 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X198 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X194 @ 145.27/20.03 X196 ) ) ) ) => 145.27/20.03 ( ( ![ 145.27/20.03 X200:$i, 145.27/20.03 X202:$i, 145.27/20.03 X204:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X204 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X200 @ 145.27/20.03 X202 ) ) => 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X206:$o]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X204 ) = 145.27/20.03 ( 145.27/20.03 X200 ) ) => 145.27/20.03 ( 145.27/20.03 X206 ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X204 @ 145.27/20.03 X202 ) => 145.27/20.03 ( 145.27/20.03 X206 ) ) => 145.27/20.03 ( 145.27/20.03 X206 ) ) ) ) ) ) => 145.27/20.03 ( ( 145.27/20.03 ![ 145.27/20.03 X208:$i, 145.27/20.03 X210:$i, 145.27/20.03 X212:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X212 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X208 @ 145.27/20.03 X210 ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X212 ) = 145.27/20.03 ( 145.27/20.03 X208 ) ) | 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X212 @ 145.27/20.03 X210 ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X214:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 dsetconstr 145.27/20.03 @ 145.27/20.03 X214 @ 145.27/20.03 ( 145.27/20.03 ^[ 145.27/20.03 V_7:$i]: 145.27/20.03 ( 145.27/20.03 $true ) ) ) = 145.27/20.03 ( 145.27/20.03 X214 ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X216:$i, 145.27/20.03 X218:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X220:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X220 @ 145.27/20.03 X218 ) => 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X220 @ 145.27/20.03 X216 ) ) ) => 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X218 @ 145.27/20.03 ( 145.27/20.03 powerset @ 145.27/20.03 X216 ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X222:$i]: 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 emptyset @ 145.27/20.03 ( 145.27/20.03 powerset @ 145.27/20.03 X222 ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X224:$i]: 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 emptyset @ 145.27/20.03 ( 145.27/20.03 powerset @ 145.27/20.03 X224 ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X226:$i, 145.27/20.03 X228:$i, 145.27/20.03 X230:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X228 @ 145.27/20.03 ( 145.27/20.03 powerset @ 145.27/20.03 X226 ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X230 @ 145.27/20.03 X228 ) => 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X230 @ 145.27/20.03 X226 ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X232:$i, 145.27/20.03 X234:$i, 145.27/20.03 X236:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X234 @ 145.27/20.03 X236 ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X236 @ 145.27/20.03 X232 ) => 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X234 @ 145.27/20.03 ( 145.27/20.03 setunion @ 145.27/20.03 X232 ) ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X238:$i, 145.27/20.03 X240:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X240 @ 145.27/20.03 ( 145.27/20.03 setunion @ 145.27/20.03 X238 ) ) => 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X242:$o]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X244:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X240 @ 145.27/20.03 X244 ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X244 @ 145.27/20.03 X238 ) => 145.27/20.03 ( 145.27/20.03 X242 ) ) ) ) => 145.27/20.03 ( 145.27/20.03 X242 ) ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X246:$i, 145.27/20.03 X248:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X248 @ 145.27/20.03 X246 ) => 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X248 @ 145.27/20.03 ( 145.27/20.03 powerset @ 145.27/20.03 ( 145.27/20.03 setunion @ 145.27/20.03 X246 ) ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X250:( 145.27/20.03 $i > $o )]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ?[ 145.27/20.03 X252:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X254:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X250 @ 145.27/20.03 X254 ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X252 ) = 145.27/20.03 ( 145.27/20.03 X254 ) ) ) ) & 145.27/20.03 ( 145.27/20.03 X250 @ 145.27/20.03 X252 ) ) ) => 145.27/20.03 ( 145.27/20.03 ?[ 145.27/20.03 X256:$i]: 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X258:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X250 @ 145.27/20.03 X258 ) <=> 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X258 ) = 145.27/20.03 ( 145.27/20.03 X256 ) ) ) ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X260:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X260 ) != 145.27/20.03 ( 145.27/20.03 emptyset ) ) => 145.27/20.03 ( 145.27/20.03 ?[ 145.27/20.03 X262:$i]: 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X262 @ 145.27/20.03 X260 ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X264:$i, 145.27/20.03 X266:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X264 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X266 @ 145.27/20.03 emptyset ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X264 ) = 145.27/20.03 ( 145.27/20.03 X266 ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X268:$i, 145.27/20.03 X270:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X268 ) != 145.27/20.03 ( 145.27/20.03 X270 ) ) => 145.27/20.03 ( 145.27/20.03 ~( 145.27/20.03 in @ 145.27/20.03 X270 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X268 @ 145.27/20.03 emptyset ) ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X272:$i, 145.27/20.03 X274:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X272 ) = 145.27/20.03 ( 145.27/20.03 X274 ) ) => 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X272 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X274 @ 145.27/20.03 emptyset ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X276:$i, 145.27/20.03 X278:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X276 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X278 @ 145.27/20.03 emptyset ) ) => 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X278 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X276 @ 145.27/20.03 emptyset ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X280:$i, 145.27/20.03 X282:$i, 145.27/20.03 X284:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X284 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X280 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X282 @ 145.27/20.03 emptyset ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X284 ) = 145.27/20.03 ( 145.27/20.03 X280 ) ) | 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 X284 ) = 145.27/20.03 ( 145.27/20.03 X282 ) ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X286:$i, 145.27/20.03 X288:$i]: 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X286 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X286 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X288 @ 145.27/20.03 emptyset ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X290:$i, 145.27/20.03 X292:$i]: 145.27/20.03 ( 145.27/20.03 in @ 145.27/20.03 X292 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X290 @ 145.27/20.03 ( 145.27/20.03 setadjoin 145.27/20.03 @ 145.27/20.03 X292 @ 145.27/20.03 emptyset ) ) ) ) => 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ![ 145.27/20.03 X294:$i, 145.27/20.03 X296:( 145.27/20.03 $i > $o )]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.03 ?[ 145.27/20.03 X298:$i]: 145.27/20.03 ( 145.27/20.03 ( 145.27/20.04 X296 @ 145.27/20.04 X298 ) & 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X298 @ 145.27/20.04 X294 ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 dsetconstr 145.27/20.04 @ 145.27/20.04 X294 @ 145.27/20.04 ( 145.27/20.04 ^[ 145.27/20.04 V_8:$i]: 145.27/20.04 ( 145.27/20.04 X296 @ V_8 ) ) ) != 145.27/20.04 ( 145.27/20.04 emptyset ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X300:( 145.27/20.04 $i > $o ), 145.27/20.04 X302:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X302 @ 145.27/20.04 emptyset ) => 145.27/20.04 ( 145.27/20.04 X300 @ 145.27/20.04 X302 ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X304:$i, 145.27/20.04 X306:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 ![ 145.27/20.04 X308:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X308 @ 145.27/20.04 X304 ) => 145.27/20.04 ( 145.27/20.04 X306 @ 145.27/20.04 X308 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X310:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 X306 @ 145.27/20.04 X310 ) ) & 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X310 @ 145.27/20.04 X304 ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X312:$i, 145.27/20.04 X314:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X316:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X316 @ 145.27/20.04 X312 ) => 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 X314 @ 145.27/20.04 X316 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 ?[ 145.27/20.04 X318:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X314 @ 145.27/20.04 X318 ) & 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X318 @ 145.27/20.04 X312 ) ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X320:$i, 145.27/20.04 X322:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 ?[ 145.27/20.04 X324:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X322 @ 145.27/20.04 X324 ) & 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X324 @ 145.27/20.04 X320 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X326:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X326 @ 145.27/20.04 X320 ) => 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 X322 @ 145.27/20.04 X326 ) ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X328:$i, 145.27/20.04 X330:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X332:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 X330 @ 145.27/20.04 X332 ) ) & 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X332 @ 145.27/20.04 X328 ) ) ) => 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 ![ 145.27/20.04 X334:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X334 @ 145.27/20.04 X328 ) => 145.27/20.04 ( 145.27/20.04 X330 @ 145.27/20.04 X334 ) ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X336:$o]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X336 ) => 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 emptyset @ 145.27/20.04 ( 145.27/20.04 prop2set @ 145.27/20.04 X336 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X338:$o]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X338 ) => 145.27/20.04 ( 145.27/20.04 set2prop @ 145.27/20.04 ( 145.27/20.04 prop2set @ 145.27/20.04 X338 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X340:$i, 145.27/20.04 X342:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 ?[ 145.27/20.04 X344:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X342 @ 145.27/20.04 X344 ) & 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X344 @ 145.27/20.04 X340 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X346:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X346 @ 145.27/20.04 X340 ) => 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 X342 @ 145.27/20.04 X346 ) ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X348:$i, 145.27/20.04 X350:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 ![ 145.27/20.04 X352:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X352 @ 145.27/20.04 X348 ) => 145.27/20.04 ( 145.27/20.04 X350 @ 145.27/20.04 X352 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X354:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 X350 @ 145.27/20.04 X354 ) ) & 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X354 @ 145.27/20.04 X348 ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X356:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X358:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X360:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X356 @ 145.27/20.04 X360 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X358 ) = 145.27/20.04 ( 145.27/20.04 X360 ) ) ) ) & 145.27/20.04 ( 145.27/20.04 X356 @ 145.27/20.04 X358 ) ) ) => 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X362:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X364:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X356 @ 145.27/20.04 X364 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X362 ) = 145.27/20.04 ( 145.27/20.04 X364 ) ) ) ) & 145.27/20.04 ( 145.27/20.04 X356 @ 145.27/20.04 X362 ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X366:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X368:$i]: 145.27/20.04 ( 145.27/20.04 X366 @ 145.27/20.04 X368 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X370:$i, 145.27/20.04 X372:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X366 @ 145.27/20.04 X370 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X366 @ 145.27/20.04 X372 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X370 ) = 145.27/20.04 ( 145.27/20.04 X372 ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X374:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X376:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X366 @ 145.27/20.04 X376 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X374 ) = 145.27/20.04 ( 145.27/20.04 X376 ) ) ) ) & 145.27/20.04 ( 145.27/20.04 X366 @ 145.27/20.04 X374 ) ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X378:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X380:$i]: 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X382:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X378 @ 145.27/20.04 X382 ) <=> 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X382 ) = 145.27/20.04 ( 145.27/20.04 X380 ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X384:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X386:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X378 @ 145.27/20.04 X386 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X384 ) = 145.27/20.04 ( 145.27/20.04 X386 ) ) ) ) & 145.27/20.04 ( 145.27/20.04 X378 @ 145.27/20.04 X384 ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X388:$i, 145.27/20.04 X390:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X388 ) = 145.27/20.04 ( 145.27/20.04 X390 ) ) => 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X392:$i, 145.27/20.04 X394:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X392 ) = 145.27/20.04 ( 145.27/20.04 X394 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X392 @ 145.27/20.04 X388 ) => 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X394 @ 145.27/20.04 X390 ) ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X396:$i, 145.27/20.04 X398:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X396 ) = 145.27/20.04 ( 145.27/20.04 X398 ) ) => 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X400:$i, 145.27/20.04 X402:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X400 ) = 145.27/20.04 ( 145.27/20.04 X402 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X400 @ 145.27/20.04 X396 ) <=> 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X402 @ 145.27/20.04 X398 ) ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X404:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X406:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X408:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X404 @ 145.27/20.04 X408 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X406 ) = 145.27/20.04 ( 145.27/20.04 X408 ) ) ) ) & 145.27/20.04 ( 145.27/20.04 X404 @ 145.27/20.04 X406 ) ) ) => 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X410:$i, 145.27/20.04 X412:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X404 @ 145.27/20.04 X410 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X404 @ 145.27/20.04 X412 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X410 ) = 145.27/20.04 ( 145.27/20.04 X412 ) ) ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X414:( 145.27/20.04 $i > $o ), 145.27/20.04 X416:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X418:$i, 145.27/20.04 X420:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X418 ) = 145.27/20.04 ( 145.27/20.04 X420 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X414 @ 145.27/20.04 X418 ) <=> 145.27/20.04 ( 145.27/20.04 X416 @ 145.27/20.04 X420 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X422:$i]: 145.27/20.04 ( 145.27/20.04 zip_tseitin_5 145.27/20.04 @ 145.27/20.04 X422 @ 145.27/20.04 X414 ) ) <=> 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X426:$i]: 145.27/20.04 ( 145.27/20.04 zip_tseitin_5 145.27/20.04 @ 145.27/20.04 X426 @ 145.27/20.04 X416 ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 emptyset ) = 145.27/20.04 ( 145.27/20.04 emptyset ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X430:$i, 145.27/20.04 X432:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X430 ) = 145.27/20.04 ( 145.27/20.04 X432 ) ) => 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X434:$i, 145.27/20.04 X436:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X434 ) = 145.27/20.04 ( 145.27/20.04 X436 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 setadjoin 145.27/20.04 @ 145.27/20.04 X430 @ 145.27/20.04 X434 ) = 145.27/20.04 ( 145.27/20.04 setadjoin 145.27/20.04 @ 145.27/20.04 X432 @ 145.27/20.04 X436 ) ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X438:$i, 145.27/20.04 X440:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X438 ) = 145.27/20.04 ( 145.27/20.04 X440 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 powerset @ 145.27/20.04 X438 ) = 145.27/20.04 ( 145.27/20.04 powerset @ 145.27/20.04 X440 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X442:$i, 145.27/20.04 X444:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X442 ) = 145.27/20.04 ( 145.27/20.04 X444 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 setunion @ 145.27/20.04 X442 ) = 145.27/20.04 ( 145.27/20.04 setunion @ 145.27/20.04 X444 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 omega ) = 145.27/20.04 ( 145.27/20.04 omega ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X446:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X448:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X450:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X446 @ 145.27/20.04 X450 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X448 ) = 145.27/20.04 ( 145.27/20.04 X450 ) ) ) ) & 145.27/20.04 ( 145.27/20.04 X446 @ 145.27/20.04 X448 ) ) ) => 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X452:$i, 145.27/20.04 X454:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X446 @ 145.27/20.04 X452 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X446 @ 145.27/20.04 X454 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X452 ) = 145.27/20.04 ( 145.27/20.04 X454 ) ) ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X456:( 145.27/20.04 $i > $o ), 145.27/20.04 X458:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X460:$i, 145.27/20.04 X462:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X460 ) = 145.27/20.04 ( 145.27/20.04 X462 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X456 @ 145.27/20.04 X460 ) <=> 145.27/20.04 ( 145.27/20.04 X458 @ 145.27/20.04 X462 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X464:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X466:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X456 @ 145.27/20.04 X466 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X464 ) = 145.27/20.04 ( 145.27/20.04 X466 ) ) ) ) & 145.27/20.04 ( 145.27/20.04 X456 @ 145.27/20.04 X464 ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ?[ 145.27/20.04 X468:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X470:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X458 @ 145.27/20.04 X470 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X468 ) = 145.27/20.04 ( 145.27/20.04 X470 ) ) ) ) & 145.27/20.04 ( 145.27/20.04 X458 @ 145.27/20.04 X468 ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 descr @ 145.27/20.04 ( 145.27/20.04 ^[ 145.27/20.04 V_9:$i]: 145.27/20.04 ( 145.27/20.04 X456 @ V_9 ) ) ) = 145.27/20.04 ( 145.27/20.04 descr @ 145.27/20.04 ( 145.27/20.04 ^[ 145.27/20.04 V_10:$i]: 145.27/20.04 ( 145.27/20.04 X458 @ 145.27/20.04 V_10 ) ) ) ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X472:$i, 145.27/20.04 X474:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X472 ) = 145.27/20.04 ( 145.27/20.04 X474 ) ) => 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X476:( 145.27/20.04 $i > $o ), 145.27/20.04 X478:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X480:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X480 @ 145.27/20.04 X472 ) => 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X482:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X482 @ 145.27/20.04 X474 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X480 ) = 145.27/20.04 ( 145.27/20.04 X482 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X476 @ 145.27/20.04 X480 ) <=> 145.27/20.04 ( 145.27/20.04 X478 @ 145.27/20.04 X482 ) ) ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 dsetconstr 145.27/20.04 @ 145.27/20.04 X472 @ 145.27/20.04 ( 145.27/20.04 ^[ 145.27/20.04 V_11:$i]: 145.27/20.04 ( 145.27/20.04 X476 @ 145.27/20.04 V_11 ) ) ) = 145.27/20.04 ( 145.27/20.04 dsetconstr 145.27/20.04 @ 145.27/20.04 X474 @ 145.27/20.04 ( 145.27/20.04 ^[ 145.27/20.04 V_12:$i]: 145.27/20.04 ( 145.27/20.04 X478 @ 145.27/20.04 V_12 ) ) ) ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X484:$i, 145.27/20.04 X486:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X488:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X488 @ 145.27/20.04 X484 ) => 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X488 @ 145.27/20.04 X486 ) ) ) => 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X484 @ 145.27/20.04 X486 ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X490:$i, 145.27/20.04 X492:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X490 ) = 145.27/20.04 ( 145.27/20.04 X492 ) ) => 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X492 @ 145.27/20.04 X490 ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X494:$i, 145.27/20.04 X496:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X494 ) = 145.27/20.04 ( 145.27/20.04 X496 ) ) => 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X494 @ 145.27/20.04 X496 ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X498:$i, 145.27/20.04 X500:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X502:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X502 @ 145.27/20.04 X498 ) => 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X502 @ 145.27/20.04 X500 ) ) ) => 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X498 @ 145.27/20.04 X500 ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X504:$i]: 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 emptyset @ 145.27/20.04 X504 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X506:$i, 145.27/20.04 X508:$i, 145.27/20.04 X510:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X506 @ 145.27/20.04 X508 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X510 @ 145.27/20.04 X506 ) => 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X510 @ 145.27/20.04 X508 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X512:$i, 145.27/20.04 X514:$i, 145.27/20.04 X516:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X512 @ 145.27/20.04 X514 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 in @ 145.27/20.04 X516 @ 145.27/20.04 X514 ) ) => 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 in @ 145.27/20.04 X516 @ 145.27/20.04 X512 ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X518:$i, 145.27/20.04 X520:$i, 145.27/20.04 X522:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X522 @ 145.27/20.04 X518 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 in @ 145.27/20.04 X522 @ 145.27/20.04 X520 ) ) => 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 subset @ 145.27/20.04 X518 @ 145.27/20.04 X520 ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X524:$i, 145.27/20.04 X526:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 subset @ 145.27/20.04 X524 @ 145.27/20.04 X526 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X524 ) != 145.27/20.04 ( 145.27/20.04 X526 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X528:$i, 145.27/20.04 X530:$i, 145.27/20.04 X532:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X532 @ 145.27/20.04 X528 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ~( 145.27/20.04 in @ 145.27/20.04 X532 @ 145.27/20.04 X530 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X528 ) != 145.27/20.04 ( 145.27/20.04 X530 ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X534:$i]: 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X534 @ 145.27/20.04 X534 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X536:$i, 145.27/20.04 X538:$i, 145.27/20.04 X540:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X536 @ 145.27/20.04 X538 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X538 @ 145.27/20.04 X540 ) => 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X536 @ 145.27/20.04 X540 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X542:$i, 145.27/20.04 X544:$i]: 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X544 @ 145.27/20.04 ( 145.27/20.04 setadjoin 145.27/20.04 @ 145.27/20.04 X542 @ 145.27/20.04 X544 ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X546:$i, 145.27/20.04 X548:$i, 145.27/20.04 X550:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X546 @ 145.27/20.04 X550 ) => 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X546 @ 145.27/20.04 ( 145.27/20.04 setadjoin 145.27/20.04 @ 145.27/20.04 X548 @ 145.27/20.04 X550 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X552:$i, 145.27/20.04 X554:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X552 @ 145.27/20.04 X554 ) => 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X552 @ 145.27/20.04 ( 145.27/20.04 powerset @ 145.27/20.04 X554 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X556:$i, 145.27/20.04 X558:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X556 @ 145.27/20.04 X558 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X558 @ 145.27/20.04 X556 ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X556 ) = 145.27/20.04 ( 145.27/20.04 X558 ) ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X560:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X560 @ 145.27/20.04 emptyset ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 X560 ) = 145.27/20.04 ( 145.27/20.04 emptyset ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X562:$i, 145.27/20.04 X564:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X564 @ 145.27/20.04 X562 ) => 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X564 @ 145.27/20.04 ( 145.27/20.04 powerset @ 145.27/20.04 X562 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X566:$i, 145.27/20.04 X568:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X568 @ 145.27/20.04 ( 145.27/20.04 powerset @ 145.27/20.04 X566 ) ) => 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X568 @ 145.27/20.04 X566 ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X570:$i]: 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X570 @ 145.27/20.04 ( 145.27/20.04 powerset @ 145.27/20.04 X570 ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X572:$i, 145.27/20.04 X574:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 X572 @ 145.27/20.04 X574 ) => 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 ( 145.27/20.04 powerset @ 145.27/20.04 X572 ) @ 145.27/20.04 ( 145.27/20.04 powerset @ 145.27/20.04 X574 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X576:$i, 145.27/20.04 X578:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 ( 145.27/20.04 dsetconstr 145.27/20.04 @ 145.27/20.04 X576 @ 145.27/20.04 ( 145.27/20.04 ^[ 145.27/20.04 V_13:$i]: 145.27/20.04 ( 145.27/20.04 X578 @ 145.27/20.04 V_13 ) ) ) @ 145.27/20.04 ( 145.27/20.04 powerset @ 145.27/20.04 X576 ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X580:$i, 145.27/20.04 X582:( 145.27/20.04 $i > $o )]: 145.27/20.04 ( 145.27/20.04 subset @ 145.27/20.04 ( 145.27/20.04 dsetconstr 145.27/20.04 @ 145.27/20.04 X580 @ 145.27/20.04 ( 145.27/20.04 ^[ 145.27/20.04 V_14:$i]: 145.27/20.04 ( 145.27/20.04 X582 @ 145.27/20.04 V_14 ) ) ) @ 145.27/20.04 X580 ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X584:$i, 145.27/20.04 X586:$i, 145.27/20.04 X588:$i]: 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X588 @ 145.27/20.04 X584 ) => 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X588 @ 145.27/20.04 ( 145.27/20.04 binunion @ 145.27/20.04 X584 @ 145.27/20.04 X586 ) ) ) ) => 145.27/20.04 ( 145.27/20.04 ( 145.27/20.04 ![ 145.27/20.04 X590:$i, 145.27/20.04 X592:$i]: 145.27/20.04 ( 145.27/20.04 in @ 145.27/20.04 X592 @ 145.27/20.04 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X590 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X592 @ 145.27/20.05 emptyset ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X594:$i, 145.27/20.05 X596:$i, 145.27/20.05 X598:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X598 @ 145.27/20.05 X596 ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X598 @ 145.27/20.05 ( 145.27/20.05 binunion @ 145.27/20.05 X594 @ 145.27/20.05 X596 ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X600:$i, 145.27/20.05 X602:$i, 145.27/20.05 X604:$i, 145.27/20.05 X606:$o]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X604 @ 145.27/20.05 ( 145.27/20.05 binunion @ 145.27/20.05 X600 @ 145.27/20.05 X602 ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X604 @ 145.27/20.05 X600 ) => 145.27/20.05 ( 145.27/20.05 X606 ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X604 @ 145.27/20.05 X602 ) => 145.27/20.05 ( 145.27/20.05 X606 ) ) => 145.27/20.05 ( 145.27/20.05 X606 ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X608:$i, 145.27/20.05 X610:$i, 145.27/20.05 X612:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X612 @ 145.27/20.05 ( 145.27/20.05 binunion @ 145.27/20.05 X608 @ 145.27/20.05 X610 ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X612 @ 145.27/20.05 X608 ) | 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X612 @ 145.27/20.05 X610 ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X614:$i, 145.27/20.05 X616:$i]: 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 X614 @ 145.27/20.05 ( 145.27/20.05 binunion @ 145.27/20.05 X614 @ 145.27/20.05 X616 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X618:$i, 145.27/20.05 X620:$i]: 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 X620 @ 145.27/20.05 ( 145.27/20.05 binunion @ 145.27/20.05 X618 @ 145.27/20.05 X620 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X622:$i, 145.27/20.05 X624:$i, 145.27/20.05 X626:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X626 @ 145.27/20.05 X622 ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X626 @ 145.27/20.05 X624 ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X626 @ 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X622 @ 145.27/20.05 X624 ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X628:$i, 145.27/20.05 X630:$i, 145.27/20.05 X632:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 X632 @ 145.27/20.05 X628 ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 X632 @ 145.27/20.05 X630 ) => 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 X632 @ 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X628 @ 145.27/20.05 X630 ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X634:$i, 145.27/20.05 X636:$i, 145.27/20.05 X638:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X638 @ 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X634 @ 145.27/20.05 X636 ) ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X638 @ 145.27/20.05 X634 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X640:$i, 145.27/20.05 X642:$i]: 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X640 @ 145.27/20.05 X642 ) @ 145.27/20.05 X640 ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X644:$i, 145.27/20.05 X646:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 X644 @ 145.27/20.05 X646 ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X644 @ 145.27/20.05 X646 ) = 145.27/20.05 ( 145.27/20.05 X644 ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X648:$i, 145.27/20.05 X650:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X648 @ 145.27/20.05 X650 ) = 145.27/20.05 ( 145.27/20.05 X650 ) ) => 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 X650 @ 145.27/20.05 X648 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X652:$i, 145.27/20.05 X654:$i, 145.27/20.05 X656:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X656 @ 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X652 @ 145.27/20.05 X654 ) ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X656 @ 145.27/20.05 X654 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X658:$i, 145.27/20.05 X660:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 ?[ 145.27/20.05 X662:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X662 @ 145.27/20.05 X660 ) & 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X662 @ 145.27/20.05 X658 ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X658 @ 145.27/20.05 X660 ) = 145.27/20.05 ( 145.27/20.05 emptyset ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X664:$i, 145.27/20.05 X666:$i]: 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X664 @ 145.27/20.05 X666 ) @ 145.27/20.05 X666 ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X668:$i, 145.27/20.05 X670:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 X670 @ 145.27/20.05 X668 ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X668 @ 145.27/20.05 X670 ) = 145.27/20.05 ( 145.27/20.05 X670 ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X672:$i, 145.27/20.05 X674:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X672 @ 145.27/20.05 X674 ) = 145.27/20.05 ( 145.27/20.05 X672 ) ) => 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 X672 @ 145.27/20.05 X674 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X676:$i, 145.27/20.05 X678:$i, 145.27/20.05 X680:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X676 @ 145.27/20.05 ( 145.27/20.05 binunion @ 145.27/20.05 X678 @ 145.27/20.05 X680 ) ) = 145.27/20.05 ( 145.27/20.05 binunion @ 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X676 @ 145.27/20.05 X678 ) @ 145.27/20.05 ( 145.27/20.05 binintersect 145.27/20.05 @ 145.27/20.05 X676 @ 145.27/20.05 X680 ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X682:$i, 145.27/20.05 X684:$i, 145.27/20.05 X686:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X686 @ 145.27/20.05 X682 ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X686 @ 145.27/20.05 X684 ) ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X686 @ 145.27/20.05 ( 145.27/20.05 setminus @ 145.27/20.05 X682 @ 145.27/20.05 X684 ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X688:$i, 145.27/20.05 X690:$i, 145.27/20.05 X692:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X692 @ 145.27/20.05 ( 145.27/20.05 setminus @ 145.27/20.05 X688 @ 145.27/20.05 X690 ) ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X692 @ 145.27/20.05 X688 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X694:$i, 145.27/20.05 X696:$i, 145.27/20.05 X698:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X698 @ 145.27/20.05 ( 145.27/20.05 setminus @ 145.27/20.05 X694 @ 145.27/20.05 X696 ) ) => 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X698 @ 145.27/20.05 X696 ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X700:$i, 145.27/20.05 X702:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 X700 @ 145.27/20.05 X702 ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 setminus @ 145.27/20.05 X700 @ 145.27/20.05 X702 ) = 145.27/20.05 ( 145.27/20.05 emptyset ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X704:$i, 145.27/20.05 X706:$i, 145.27/20.05 X708:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X708 @ 145.27/20.05 ( 145.27/20.05 setminus 145.27/20.05 @ 145.27/20.05 X704 @ 145.27/20.05 X706 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X708 @ 145.27/20.05 X704 ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X708 @ 145.27/20.05 X706 ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X710:$i, 145.27/20.05 X712:$i, 145.27/20.05 X714:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X714 @ 145.27/20.05 ( 145.27/20.05 setminus 145.27/20.05 @ 145.27/20.05 X710 @ 145.27/20.05 X712 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X714 @ 145.27/20.05 X712 ) ) => 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X714 @ 145.27/20.05 X710 ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X716:$i, 145.27/20.05 X718:$i, 145.27/20.05 X720:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X720 @ 145.27/20.05 X716 ) ) => 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X720 @ 145.27/20.05 ( 145.27/20.05 setminus 145.27/20.05 @ 145.27/20.05 X716 @ 145.27/20.05 X718 ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X722:$i, 145.27/20.05 X724:$i, 145.27/20.05 X726:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X726 @ 145.27/20.05 X724 ) => 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X726 @ 145.27/20.05 ( 145.27/20.05 setminus 145.27/20.05 @ 145.27/20.05 X722 @ 145.27/20.05 X724 ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X728:$i, 145.27/20.05 X730:$i]: 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 ( 145.27/20.05 setminus @ 145.27/20.05 X728 @ 145.27/20.05 X730 ) @ 145.27/20.05 X728 ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X732:$i, 145.27/20.05 X734:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 setminus @ 145.27/20.05 X732 @ 145.27/20.05 X734 ) = 145.27/20.05 ( 145.27/20.05 emptyset ) ) => 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 X732 @ 145.27/20.05 X734 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X736:$i, 145.27/20.05 X738:$i, 145.27/20.05 X740:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X740 @ 145.27/20.05 ( 145.27/20.05 symdiff @ 145.27/20.05 X736 @ 145.27/20.05 X738 ) ) => 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X742:$o]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X740 @ 145.27/20.05 X736 ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X740 @ 145.27/20.05 X738 ) ) => 145.27/20.05 ( 145.27/20.05 X742 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X740 @ 145.27/20.05 X736 ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X740 @ 145.27/20.05 X738 ) => 145.27/20.05 ( 145.27/20.05 X742 ) ) ) => 145.27/20.05 ( 145.27/20.05 X742 ) ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X744:$i, 145.27/20.05 X746:$i, 145.27/20.05 X748:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X748 @ 145.27/20.05 X744 ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X748 @ 145.27/20.05 X746 ) ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X748 @ 145.27/20.05 ( 145.27/20.05 symdiff @ 145.27/20.05 X744 @ 145.27/20.05 X746 ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X750:$i, 145.27/20.05 X752:$i, 145.27/20.05 X754:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X754 @ 145.27/20.05 X750 ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X754 @ 145.27/20.05 X752 ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X754 @ 145.27/20.05 ( 145.27/20.05 symdiff @ 145.27/20.05 X750 @ 145.27/20.05 X752 ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X756:$i, 145.27/20.05 X758:$i, 145.27/20.05 X760:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X760 @ 145.27/20.05 X756 ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X760 @ 145.27/20.05 X758 ) => 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X760 @ 145.27/20.05 ( 145.27/20.05 symdiff @ 145.27/20.05 X756 @ 145.27/20.05 X758 ) ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X762:$i, 145.27/20.05 X764:$i, 145.27/20.05 X766:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X766 @ 145.27/20.05 X762 ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X766 @ 145.27/20.05 X764 ) ) => 145.27/20.05 ( 145.27/20.05 ~( 145.27/20.05 in @ 145.27/20.05 X766 @ 145.27/20.05 ( 145.27/20.05 symdiff @ 145.27/20.05 X762 @ 145.27/20.05 X764 ) ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X768:$i, 145.27/20.05 X770:$i]: 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X770 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X768 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X770 @ 145.27/20.05 emptyset ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X772:$i, 145.27/20.05 X774:$i]: 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X772 @ 145.27/20.05 ( 145.27/20.05 setunion @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X772 @ 145.27/20.05 emptyset ) @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X772 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X774 @ 145.27/20.05 emptyset ) ) @ 145.27/20.05 emptyset ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X776:$i, 145.27/20.05 X778:$i]: 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X778 @ 145.27/20.05 ( 145.27/20.05 setunion @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X776 @ 145.27/20.05 emptyset ) @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X776 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X778 @ 145.27/20.05 emptyset ) ) @ 145.27/20.05 emptyset ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X780:$i, 145.27/20.05 X782:$i]: 145.27/20.05 ( 145.27/20.05 iskpair @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X780 @ 145.27/20.05 emptyset ) @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X780 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X782 @ 145.27/20.05 emptyset ) ) @ 145.27/20.05 emptyset ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X784:$i, 145.27/20.05 X786:$i]: 145.27/20.05 ( 145.27/20.05 iskpair @ 145.27/20.05 ( 145.27/20.05 kpair @ 145.27/20.05 X784 @ 145.27/20.05 X786 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X788:$i, 145.27/20.05 X790:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X790 @ 145.27/20.05 X788 ) => 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X790 @ 145.27/20.05 emptyset ) @ 145.27/20.05 X788 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X792:$i, 145.27/20.05 X794:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X794 @ 145.27/20.05 X792 ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X794 @ 145.27/20.05 emptyset ) @ 145.27/20.05 ( 145.27/20.05 powerset @ 145.27/20.05 X792 ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X796:$i, 145.27/20.05 X798:$i, 145.27/20.05 X800:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X800 @ 145.27/20.05 X796 ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X800 @ 145.27/20.05 emptyset ) @ 145.27/20.05 ( 145.27/20.05 powerset @ 145.27/20.05 ( 145.27/20.05 binunion @ 145.27/20.05 X796 @ 145.27/20.05 X798 ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X802:$i, 145.27/20.05 X804:$i, 145.27/20.05 X806:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X806 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X802 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X804 @ 145.27/20.05 emptyset ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 X806 ) = 145.27/20.05 ( 145.27/20.05 X802 ) ) | 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 X806 ) = 145.27/20.05 ( 145.27/20.05 X804 ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X808:$i, 145.27/20.05 X810:$i, 145.27/20.05 X812:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X812 @ 145.27/20.05 X808 ) => 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X814:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X814 @ 145.27/20.05 X810 ) => 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X812 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X814 @ 145.27/20.05 emptyset ) ) @ 145.27/20.05 ( 145.27/20.05 binunion @ 145.27/20.05 X808 @ 145.27/20.05 X810 ) ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X816:$i, 145.27/20.05 X818:$i, 145.27/20.05 X820:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X820 @ 145.27/20.05 X816 ) => 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X822:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X822 @ 145.27/20.05 X818 ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X820 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X822 @ 145.27/20.05 emptyset ) ) @ 145.27/20.05 ( 145.27/20.05 powerset @ 145.27/20.05 ( 145.27/20.05 binunion @ 145.27/20.05 X816 @ 145.27/20.05 X818 ) ) ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X824:$i, 145.27/20.05 X826:$i, 145.27/20.05 X828:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X828 @ 145.27/20.05 X824 ) => 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X830:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X830 @ 145.27/20.05 X826 ) => 145.27/20.05 ( 145.27/20.05 subset @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X828 @ 145.27/20.05 emptyset ) @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X828 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X830 @ 145.27/20.05 emptyset ) ) @ 145.27/20.05 emptyset ) ) @ 145.27/20.05 ( 145.27/20.05 powerset @ 145.27/20.05 ( 145.27/20.05 binunion @ 145.27/20.05 X824 @ 145.27/20.05 X826 ) ) ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X832:$i, 145.27/20.05 X834:$i, 145.27/20.05 X836:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X836 @ 145.27/20.05 X832 ) => 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X838:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X838 @ 145.27/20.05 X834 ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X836 @ 145.27/20.05 emptyset ) @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X836 @ 145.27/20.05 ( 145.27/20.05 setadjoin 145.27/20.05 @ 145.27/20.05 X838 @ 145.27/20.05 emptyset ) ) @ 145.27/20.05 emptyset ) ) @ 145.27/20.05 ( 145.27/20.05 powerset @ 145.27/20.05 ( 145.27/20.05 powerset @ 145.27/20.05 ( 145.27/20.05 binunion @ 145.27/20.05 X832 @ 145.27/20.05 X834 ) ) ) ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X840:$i, 145.27/20.05 X842:$i, 145.27/20.05 X844:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X844 @ 145.27/20.05 X840 ) => 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X846:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X846 @ 145.27/20.05 X842 ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 ( 145.27/20.05 kpair @ 145.27/20.05 X844 @ 145.27/20.05 X846 ) @ 145.27/20.05 ( 145.27/20.05 powerset @ 145.27/20.05 ( 145.27/20.05 powerset @ 145.27/20.05 ( 145.27/20.05 binunion @ 145.27/20.05 X840 @ 145.27/20.05 X842 ) ) ) ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X848:$i, 145.27/20.05 X850:$i, 145.27/20.05 X852:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X852 @ 145.27/20.05 X848 ) => 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X854:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X854 @ 145.27/20.05 X850 ) => 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 ( 145.27/20.05 kpair @ 145.27/20.05 X852 @ 145.27/20.05 X854 ) @ 145.27/20.05 ( 145.27/20.05 cartprod @ 145.27/20.05 X848 @ 145.27/20.05 X850 ) ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X856:$i, 145.27/20.05 X858:$i, 145.27/20.05 X860:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X860 @ 145.27/20.05 ( 145.27/20.05 cartprod @ 145.27/20.05 X856 @ 145.27/20.05 X858 ) ) => 145.27/20.05 ( 145.27/20.05 ?[ 145.27/20.05 X862:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ?[ 145.27/20.05 X864:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 X860 ) = 145.27/20.05 ( 145.27/20.05 kpair @ 145.27/20.05 X862 @ 145.27/20.05 X864 ) ) & 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X864 @ 145.27/20.05 X858 ) ) ) & 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X862 @ 145.27/20.05 X856 ) ) ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X866:$i, 145.27/20.05 X868:$i, 145.27/20.05 X870:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X870 @ 145.27/20.05 ( 145.27/20.05 cartprod @ 145.27/20.05 X866 @ 145.27/20.05 X868 ) ) => 145.27/20.05 ( 145.27/20.05 iskpair @ 145.27/20.05 X870 ) ) ) => 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 ![ 145.27/20.05 X872:$i, 145.27/20.05 X874:$i]: 145.27/20.05 ( 145.27/20.05 ( 145.27/20.05 in @ 145.27/20.05 X874 @ 145.27/20.05 ( 145.27/20.05 setunion @ 145.27/20.05 X872 ) ) => 145.27/20.05 ( 145.27/20.06 ?[ 145.27/20.06 X876:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X874 @ 145.27/20.06 X876 ) & 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X876 @ 145.27/20.06 X872 ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X878:$i]: 145.27/20.06 ( 145.27/20.06 subset @ 145.27/20.06 ( 145.27/20.06 setunion @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X878 @ 145.27/20.06 emptyset ) ) @ 145.27/20.06 X878 ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X880:$i]: 145.27/20.06 ( 145.27/20.06 subset @ 145.27/20.06 X880 @ 145.27/20.06 ( 145.27/20.06 setunion @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X880 @ 145.27/20.06 emptyset ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X882:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 setunion @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X882 @ 145.27/20.06 emptyset ) ) = 145.27/20.06 ( 145.27/20.06 X882 ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X884:$i, 145.27/20.06 X886:( 145.27/20.06 $i > $o )]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X888:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X888 @ 145.27/20.06 X884 ) => 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X890:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X890 @ 145.27/20.06 X884 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X886 @ 145.27/20.06 X888 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X886 @ 145.27/20.06 X890 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X888 ) = 145.27/20.06 ( 145.27/20.06 X890 ) ) ) ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ?[ 145.27/20.06 X892:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X886 @ 145.27/20.06 X892 ) & 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X892 @ 145.27/20.06 X884 ) ) ) => 145.27/20.06 ( 145.27/20.06 ?[ 145.27/20.06 X894:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 dsetconstr 145.27/20.06 @ 145.27/20.06 X884 @ 145.27/20.06 ( 145.27/20.06 ^[ 145.27/20.06 V_15:$i]: 145.27/20.06 ( 145.27/20.06 X886 @ 145.27/20.06 V_15 ) ) ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X894 @ 145.27/20.06 emptyset ) ) & 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X894 @ 145.27/20.06 ( 145.27/20.06 dsetconstr 145.27/20.06 @ 145.27/20.06 X884 @ 145.27/20.06 ( 145.27/20.06 ^[ 145.27/20.06 V_16:$i]: 145.27/20.06 ( 145.27/20.06 X886 @ 145.27/20.06 V_16 ) ) ) ) ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X896:$i, 145.27/20.06 X898:( 145.27/20.06 $i > $o )]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ?[ 145.27/20.06 X900:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 dsetconstr 145.27/20.06 @ 145.27/20.06 X896 @ 145.27/20.06 ( 145.27/20.06 ^[ 145.27/20.06 V_17:$i]: 145.27/20.06 ( 145.27/20.06 X898 @ 145.27/20.06 V_17 ) ) ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X900 @ 145.27/20.06 emptyset ) ) & 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X900 @ 145.27/20.06 ( 145.27/20.06 dsetconstr 145.27/20.06 @ 145.27/20.06 X896 @ 145.27/20.06 ( 145.27/20.06 ^[ 145.27/20.06 V_18:$i]: 145.27/20.06 ( 145.27/20.06 X898 @ 145.27/20.06 V_18 ) ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ?[ 145.27/20.06 X902:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X898 @ 145.27/20.06 X902 ) & 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X902 @ 145.27/20.06 X896 ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X904:$i, 145.27/20.06 X906:( 145.27/20.06 $i > $o ), 145.27/20.06 X908:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X908 @ 145.27/20.06 X904 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X906 @ 145.27/20.06 X908 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X910:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X910 @ 145.27/20.06 X904 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X906 @ 145.27/20.06 X910 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X910 ) = 145.27/20.06 ( 145.27/20.06 X908 ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ?[ 145.27/20.06 X912:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 dsetconstr 145.27/20.06 @ 145.27/20.06 X904 @ 145.27/20.06 ( 145.27/20.06 ^[ 145.27/20.06 V_19:$i]: 145.27/20.06 ( 145.27/20.06 X906 @ 145.27/20.06 V_19 ) ) ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X912 @ 145.27/20.06 emptyset ) ) & 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X912 @ 145.27/20.06 ( 145.27/20.06 dsetconstr 145.27/20.06 @ 145.27/20.06 X904 @ 145.27/20.06 ( 145.27/20.06 ^[ 145.27/20.06 V_20:$i]: 145.27/20.06 ( 145.27/20.06 X906 @ 145.27/20.06 V_20 ) ) ) ) ) ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X914:$i, 145.27/20.06 X916:( 145.27/20.06 $i > $o )]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X918:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X918 @ 145.27/20.06 X914 ) => 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X920:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X920 @ 145.27/20.06 X914 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X916 @ 145.27/20.06 X918 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X916 @ 145.27/20.06 X920 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X918 ) = 145.27/20.06 ( 145.27/20.06 X920 ) ) ) ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ?[ 145.27/20.06 X922:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X916 @ 145.27/20.06 X922 ) & 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X922 @ 145.27/20.06 X914 ) ) ) => 145.27/20.06 ( 145.27/20.06 ?[ 145.27/20.06 X924:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 dsetconstr 145.27/20.06 @ 145.27/20.06 X914 @ 145.27/20.06 ( 145.27/20.06 ^[ 145.27/20.06 V_21:$i]: 145.27/20.06 ( 145.27/20.06 X916 @ 145.27/20.06 V_21 ) ) ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X924 @ 145.27/20.06 emptyset ) ) & 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X924 @ 145.27/20.06 ( 145.27/20.06 dsetconstr 145.27/20.06 @ 145.27/20.06 X914 @ 145.27/20.06 ( 145.27/20.06 ^[ 145.27/20.06 V_22:$i]: 145.27/20.06 ( 145.27/20.06 X916 @ 145.27/20.06 V_22 ) ) ) ) ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X926:$i, 145.27/20.06 X928:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X926 @ 145.27/20.06 emptyset ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X928 @ 145.27/20.06 emptyset ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X926 ) = 145.27/20.06 ( 145.27/20.06 X928 ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X930:$i, 145.27/20.06 X932:$i, 145.27/20.06 X934:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X934 @ 145.27/20.06 emptyset ) @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X930 @ 145.27/20.06 emptyset ) @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X930 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X932 @ 145.27/20.06 emptyset ) ) @ 145.27/20.06 emptyset ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X930 ) = 145.27/20.06 ( 145.27/20.06 X934 ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X936:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 iskpair @ 145.27/20.06 X936 ) => 145.27/20.06 ( 145.27/20.06 ?[ 145.27/20.06 X938:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 dsetconstr 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setunion @ 145.27/20.06 X936 ) @ 145.27/20.06 ( 145.27/20.06 ^[ 145.27/20.06 V_23:$i]: 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 V_23 @ 145.27/20.06 emptyset ) @ 145.27/20.06 X936 ) ) ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X938 @ 145.27/20.06 emptyset ) ) & 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X938 @ 145.27/20.06 ( 145.27/20.06 dsetconstr 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setunion @ 145.27/20.06 X936 ) @ 145.27/20.06 ( 145.27/20.06 ^[ 145.27/20.06 V_24:$i]: 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 V_24 @ 145.27/20.06 emptyset ) @ 145.27/20.06 X936 ) ) ) ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X940:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ?[ 145.27/20.06 X942:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X940 ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X942 @ 145.27/20.06 emptyset ) ) & 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X942 @ 145.27/20.06 X940 ) ) ) => 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 ( 145.27/20.06 setunion @ 145.27/20.06 X940 ) @ 145.27/20.06 X940 ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X944:$i, 145.27/20.06 X946:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 kfst @ 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X944 @ 145.27/20.06 X946 ) ) = 145.27/20.06 ( 145.27/20.06 X944 ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X948:$i, 145.27/20.06 X950:$i, 145.27/20.06 X952:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X952 @ 145.27/20.06 ( 145.27/20.06 cartprod @ 145.27/20.06 X948 @ 145.27/20.06 X950 ) ) => 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 ( 145.27/20.06 kfst @ 145.27/20.06 X952 ) @ 145.27/20.06 X948 ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X954:$i, 145.27/20.06 X956:$i, 145.27/20.06 X958:$i, 145.27/20.06 X960:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X954 @ 145.27/20.06 emptyset ) @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X954 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X956 @ 145.27/20.06 emptyset ) ) @ 145.27/20.06 emptyset ) ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X958 @ 145.27/20.06 emptyset ) @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X958 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X960 @ 145.27/20.06 emptyset ) ) @ 145.27/20.06 emptyset ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X954 ) = 145.27/20.06 ( 145.27/20.06 X958 ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X962:$i, 145.27/20.06 X964:$i, 145.27/20.06 X966:$i, 145.27/20.06 X968:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X962 @ 145.27/20.06 X964 ) = 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X966 @ 145.27/20.06 X968 ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X962 ) = 145.27/20.06 ( 145.27/20.06 X966 ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X970:$i, 145.27/20.06 X972:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X970 ) = 145.27/20.06 ( 145.27/20.06 X972 ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X970 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X972 @ 145.27/20.06 emptyset ) ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X970 @ 145.27/20.06 emptyset ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X974:$i, 145.27/20.06 X976:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X974 ) = 145.27/20.06 ( 145.27/20.06 X976 ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X974 @ 145.27/20.06 emptyset ) @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X974 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X976 @ 145.27/20.06 emptyset ) ) @ 145.27/20.06 emptyset ) ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X974 @ 145.27/20.06 emptyset ) @ 145.27/20.06 emptyset ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X978:$i, 145.27/20.06 X980:$i, 145.27/20.06 X982:$i, 145.27/20.06 X984:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X978 @ 145.27/20.06 emptyset ) @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X978 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X980 @ 145.27/20.06 emptyset ) ) @ 145.27/20.06 emptyset ) ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X982 @ 145.27/20.06 emptyset ) @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X982 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X984 @ 145.27/20.06 emptyset ) ) @ 145.27/20.06 emptyset ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X982 ) = 145.27/20.06 ( 145.27/20.06 X984 ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X980 ) = 145.27/20.06 ( 145.27/20.06 X984 ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X986:$i, 145.27/20.06 X988:$i, 145.27/20.06 X990:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X986 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X988 @ 145.27/20.06 emptyset ) ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X990 @ 145.27/20.06 emptyset ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X986 ) = 145.27/20.06 ( 145.27/20.06 X988 ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X992:$i, 145.27/20.06 X994:$i, 145.27/20.06 X996:$i, 145.27/20.06 X998:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X992 @ 145.27/20.06 emptyset ) @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X992 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X994 @ 145.27/20.06 emptyset ) ) @ 145.27/20.06 emptyset ) ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X996 @ 145.27/20.06 emptyset ) @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X996 @ 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X998 @ 145.27/20.06 emptyset ) ) @ 145.27/20.06 emptyset ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X994 ) = 145.27/20.06 ( 145.27/20.06 X998 ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1000:$i, 145.27/20.06 X1002:$i, 145.27/20.06 X1004:$i, 145.27/20.06 X1006:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X1000 @ 145.27/20.06 X1002 ) = 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X1004 @ 145.27/20.06 X1006 ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X1002 ) = 145.27/20.06 ( 145.27/20.06 X1006 ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1008:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 iskpair @ 145.27/20.06 X1008 ) => 145.27/20.06 ( 145.27/20.06 ?[ 145.27/20.06 X1010:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 dsetconstr 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setunion @ 145.27/20.06 X1008 ) @ 145.27/20.06 ( 145.27/20.06 ^[ 145.27/20.06 V_25:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X1008 ) = 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 ( 145.27/20.06 kfst @ 145.27/20.06 X1008 ) @ 145.27/20.06 V_25 ) ) ) ) = 145.27/20.06 ( 145.27/20.06 setadjoin 145.27/20.06 @ 145.27/20.06 X1010 @ 145.27/20.06 emptyset ) ) & 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1010 @ 145.27/20.06 ( 145.27/20.06 dsetconstr 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 setunion @ 145.27/20.06 X1008 ) @ 145.27/20.06 ( 145.27/20.06 ^[ 145.27/20.06 V_26:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X1008 ) = 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 ( 145.27/20.06 kfst @ 145.27/20.06 X1008 ) @ 145.27/20.06 V_26 ) ) ) ) ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1012:$i, 145.27/20.06 X1014:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ksnd @ 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X1012 @ 145.27/20.06 X1014 ) ) = 145.27/20.06 ( 145.27/20.06 X1014 ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1016:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 iskpair @ 145.27/20.06 X1016 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 ( 145.27/20.06 kfst @ 145.27/20.06 X1016 ) @ 145.27/20.06 ( 145.27/20.06 ksnd @ 145.27/20.06 X1016 ) ) = 145.27/20.06 ( 145.27/20.06 X1016 ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1018:$i, 145.27/20.06 X1020:$i, 145.27/20.06 X1022:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1022 @ 145.27/20.06 ( 145.27/20.06 cartprod @ 145.27/20.06 X1018 @ 145.27/20.06 X1020 ) ) => 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 ( 145.27/20.06 ksnd @ 145.27/20.06 X1022 ) @ 145.27/20.06 X1020 ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1024:$i, 145.27/20.06 X1026:$i, 145.27/20.06 X1028:$i, 145.27/20.06 X1030:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X1028 @ 145.27/20.06 X1030 ) @ 145.27/20.06 ( 145.27/20.06 cartprod @ 145.27/20.06 X1024 @ 145.27/20.06 X1026 ) ) => 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1028 @ 145.27/20.06 X1024 ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1032:$i, 145.27/20.06 X1034:$i, 145.27/20.06 X1036:$i, 145.27/20.06 X1038:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X1036 @ 145.27/20.06 X1038 ) @ 145.27/20.06 ( 145.27/20.06 cartprod @ 145.27/20.06 X1032 @ 145.27/20.06 X1034 ) ) => 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1038 @ 145.27/20.06 X1034 ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1040:$i, 145.27/20.06 X1042:$i, 145.27/20.06 X1044:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1044 @ 145.27/20.06 X1040 ) => 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1046:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1046 @ 145.27/20.06 X1042 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X1044 @ 145.27/20.06 X1046 ) = 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X1044 @ 145.27/20.06 X1046 ) ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1048:$i, 145.27/20.06 X1050:$i, 145.27/20.06 X1052:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1052 @ 145.27/20.06 X1048 ) => 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1054:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1054 @ 145.27/20.06 X1050 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 kfst @ 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X1052 @ 145.27/20.06 X1054 ) ) = 145.27/20.06 ( 145.27/20.06 X1052 ) ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1056:$i, 145.27/20.06 X1058:$i, 145.27/20.06 X1060:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1060 @ 145.27/20.06 X1056 ) => 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1062:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1062 @ 145.27/20.06 X1058 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ksnd @ 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X1060 @ 145.27/20.06 X1062 ) ) = 145.27/20.06 ( 145.27/20.06 X1062 ) ) ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1064:$i, 145.27/20.06 X1066:$i, 145.27/20.06 X1068:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1068 @ 145.27/20.06 ( 145.27/20.06 cartprod @ 145.27/20.06 X1064 @ 145.27/20.06 X1066 ) ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 ( 145.27/20.06 kfst @ 145.27/20.06 X1068 ) @ 145.27/20.06 ( 145.27/20.06 ksnd @ 145.27/20.06 X1068 ) ) = 145.27/20.06 ( 145.27/20.06 X1068 ) ) ) ) => 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1070:$i, 145.27/20.06 X1072:$i, 145.27/20.06 X1074:( 145.27/20.06 $i > $i > 145.27/20.06 $o ), 145.27/20.06 X1076:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1076 @ 145.27/20.06 X1070 ) => 145.27/20.06 ( 145.27/20.06 ![ 145.27/20.06 X1078:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1078 @ 145.27/20.06 X1072 ) => 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 X1074 @ 145.27/20.06 X1076 @ 145.27/20.06 X1078 ) => 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X1076 @ 145.27/20.06 X1078 ) @ 145.27/20.06 ( 145.27/20.06 dsetconstr 145.27/20.06 @ 145.27/20.06 ( 145.27/20.06 cartprod @ 145.27/20.06 X1070 @ 145.27/20.06 X1072 ) @ 145.27/20.06 ( 145.27/20.06 ^[ 145.27/20.06 V_27:$i]: 145.27/20.06 ( 145.27/20.06 ?[ 145.27/20.06 X1080:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1080 @ 145.27/20.06 X1070 ) & 145.27/20.06 ( 145.27/20.06 ?[ 145.27/20.06 X1082:$i]: 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 in @ 145.27/20.06 X1082 @ 145.27/20.06 X1072 ) & 145.27/20.06 ( 145.27/20.06 X1074 @ 145.27/20.06 X1080 @ 145.27/20.06 X1082 ) & 145.27/20.06 ( 145.27/20.06 ( 145.27/20.06 V_27 ) = 145.27/20.06 ( 145.27/20.06 kpair @ 145.27/20.06 X1080 @ 145.27/20.06 X1082 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 145.27/20.06 thf(zf_stmt_14, negated_conjecture, 145.27/20.06 (~( ( ![X4:$i,X6:$i]: 145.27/20.06 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 145.27/20.06 ( ( X4 ) = ( X6 ) ) ) ) => 145.27/20.06 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 145.27/20.06 ( ( ![X12:$i,X14:$i,X16:$i]: 145.27/20.06 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 145.27/20.06 ( zip_tseitin_0 @ X16 @ X14 @ X12 ) ) ) => 145.27/20.06 ( ( ![X18:$i,X20:$i]: 145.27/20.06 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 145.27/20.06 ( ![X22:$i]: ( zip_tseitin_1 @ X22 @ X20 @ X18 ) ) ) ) => 145.27/20.06 ( ( ![X24:$i,X26:$i]: 145.27/20.06 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 145.27/20.06 ( ?[X28:$i]: ( zip_tseitin_2 @ X28 @ X26 @ X24 ) ) ) ) => 145.27/20.06 ( ( in @ emptyset @ omega ) => 145.27/20.06 ( ( ![X30:$i]: 145.27/20.06 ( ( in @ X30 @ omega ) => 145.27/20.06 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 145.27/20.06 ( ( ![X32:$i]: 145.27/20.06 ( ( ( in @ emptyset @ X32 ) & 145.27/20.06 ( ![X34:$i]: 145.27/20.06 ( ( ( in @ X34 @ omega ) & ( in @ X34 @ X32 ) ) => 145.27/20.06 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) ) => 145.27/20.06 ( ![X36:$i]: 145.27/20.06 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 145.27/20.06 ( ( ![X38:( $i > $i > $o ),X40:$i]: 145.27/20.06 ( ( ![X42:$i]: 145.27/20.06 ( ( in @ X42 @ X40 ) => 145.27/20.06 ( ?[X44:$i]: 145.27/20.06 ( ( ![X46:$i]: 145.27/20.06 ( ( X38 @ X42 @ X46 ) => 145.27/20.06 ( ( X44 ) = ( X46 ) ) ) ) & 145.27/20.06 ( X38 @ X42 @ X44 ) ) ) ) ) => 145.27/20.06 ( ?[X48:$i]: 145.27/20.06 ( ![X50:$i]: 145.27/20.06 ( ( in @ X50 @ X48 ) <=> 145.27/20.06 ( ?[X52:$i]: 145.27/20.06 ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) ) ) ) ) ) ) => 145.27/20.06 ( ( ![X54:$i]: 145.27/20.06 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 145.27/20.06 ( ?[X58:$i]: 145.27/20.06 ( ( ~( ?[X60:$i]: 145.27/20.06 ( ( in @ X60 @ X54 ) & 145.27/20.06 ( in @ X60 @ X58 ) ) ) ) & 145.27/20.06 ( in @ X58 @ X54 ) ) ) ) ) => 145.27/20.06 ( ( ![X62:$i]: 145.27/20.06 ( ?[X64:$i]: 145.27/20.06 ( ( ![X66:$i]: 145.27/20.06 ( ( ( ![X68:$i]: 145.27/20.07 ( ( in @ X68 @ X66 ) => 145.27/20.07 ( in @ X68 @ X62 ) ) ) & 145.27/20.07 ( ?[X70:$i]: ( in @ X70 @ X66 ) ) ) => 145.27/20.07 ( ?[X72:$i,X74:$i]: 145.27/20.07 ( ( ![X76:$i]: 145.27/20.07 ( ( in @ X76 @ X64 ) => 145.27/20.07 ( ( ![X78:$i]: 145.27/20.07 ( ( in @ X78 @ X76 ) => 145.27/20.07 ( in @ X78 @ X72 ) ) ) | 145.27/20.07 ( in @ X74 @ X76 ) ) ) ) & 145.27/20.07 ( ~( ?[X80:$i]: 145.27/20.07 ( ( in @ X80 @ X66 ) & 145.27/20.07 ( in @ X80 @ X72 ) ) ) ) & 145.27/20.07 ( in @ X74 @ X66 ) & 145.27/20.07 ( in @ X72 @ X64 ) ) ) ) ) & 145.27/20.07 ( ![X82:$i,X84:$i]: 145.27/20.07 ( ( ( in @ X82 @ X64 ) & ( in @ X84 @ X64 ) ) => 145.27/20.07 ( ( ![X86:$i]: 145.27/20.07 ( ( in @ X86 @ X82 ) => 145.27/20.07 ( in @ X86 @ X84 ) ) ) | 145.27/20.07 ( ![X88:$i]: 145.27/20.07 ( ( in @ X88 @ X84 ) => 145.27/20.07 ( in @ X88 @ X82 ) ) ) ) ) ) & 145.27/20.07 ( ![X90:$i,X92:$i]: 145.27/20.07 ( ( ( in @ X90 @ X62 ) & ( in @ X92 @ X62 ) ) => 145.27/20.07 ( ( ![X94:$i]: 145.27/20.07 ( ( in @ X94 @ X64 ) => 145.27/20.07 ( ( in @ X90 @ X94 ) <=> 145.27/20.07 ( in @ X92 @ X94 ) ) ) ) => 145.27/20.07 ( ( X90 ) = ( X92 ) ) ) ) ) & 145.27/20.07 ( ![X96:$i]: 145.27/20.07 ( ( in @ X96 @ X64 ) => 145.27/20.07 ( ![X98:$i]: 145.27/20.07 ( ( in @ X98 @ X96 ) => 145.27/20.07 ( in @ X98 @ X62 ) ) ) ) ) ) ) ) => 145.27/20.07 ( ( ![X100:( $i > $o )]: 145.27/20.07 ( ( ?[X102:$i]: 145.27/20.07 ( ( ![X104:$i]: 145.27/20.07 ( ( X100 @ X104 ) => 145.27/20.07 ( ( X102 ) = ( X104 ) ) ) ) & 145.27/20.07 ( X100 @ X102 ) ) ) => 145.27/20.07 ( X100 @ 145.27/20.07 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 145.27/20.07 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 145.27/20.07 ( ( in @ X110 @ X106 ) => 145.27/20.07 ( ( X108 @ X110 ) => 145.27/20.07 ( in @ 145.27/20.07 X110 @ 145.27/20.07 ( dsetconstr @ 145.27/20.07 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 145.27/20.07 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 145.27/20.07 ( ( in @ 145.27/20.07 X116 @ 145.27/20.07 ( dsetconstr @ 145.27/20.07 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 145.27/20.07 ( in @ X116 @ X112 ) ) ) => 145.27/20.07 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 145.27/20.07 ( ( in @ 145.27/20.07 X122 @ 145.27/20.07 ( dsetconstr @ 145.27/20.07 X118 @ 145.27/20.07 ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 145.27/20.07 ( X120 @ X122 ) ) ) => 145.27/20.07 ( ( ![X124:( $i > $o )]: 145.27/20.07 ( ( ?[X126:$i]: 145.27/20.07 ( ( ![X128:$i]: 145.27/20.07 ( ( X124 @ X128 ) => 145.27/20.07 ( ( X126 ) = ( X128 ) ) ) ) & 145.27/20.07 ( X124 @ X126 ) ) ) => 145.27/20.07 ( ?[X130:$i]: 145.27/20.07 ( ( ![X132:$i]: 145.27/20.07 ( ( X124 @ X132 ) => 145.27/20.07 ( ( X130 ) = ( X132 ) ) ) ) & 145.27/20.07 ( X124 @ X130 ) ) ) ) ) => 145.27/20.07 ( ( ![X134:$o,X136:$i]: 145.27/20.07 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 145.27/20.07 ( X134 ) ) ) => 145.27/20.07 ( ( ![X138:$i]: 145.27/20.07 ( ( in @ X138 @ emptyset ) => 145.27/20.07 ( ![X140:$o]: ( X140 ) ) ) ) => 145.27/20.07 ( ( ![X142:$i]: 145.27/20.07 ( ~( in @ X142 @ emptyset ) ) ) => 145.27/20.07 ( ( ![X144:$i]: 145.27/20.07 ( ~( in @ X144 @ emptyset ) ) ) => 145.27/20.07 ( ( ![X146:( $i > $o )]: 145.27/20.07 ( ( ?[X148:$i]: 145.27/20.07 ( ( ![X150:$i]: 145.27/20.07 ( ( X146 @ X150 ) => 145.27/20.07 ( ( X148 ) = 145.27/20.07 ( X150 ) ) ) ) & 145.27/20.07 ( X146 @ X148 ) ) ) => 145.27/20.07 ( ?[X152:$i]: 145.27/20.07 ( X146 @ X152 ) ) ) ) => 145.27/20.07 ( ( ![X154:$i,X156:$i]: 145.27/20.07 ( ( ![X158:$i]: 145.27/20.07 ( ( in @ X158 @ X154 ) => 145.27/20.07 ( in @ X158 @ X156 ) ) ) => 145.27/20.07 ( ( ![X160:$i]: 145.27/20.07 ( ( in @ X160 @ X156 ) => 145.27/20.07 ( in @ X160 @ X154 ) ) ) => 145.27/20.07 ( ( X154 ) = ( X156 ) ) ) ) ) => 145.27/20.07 ( ( ![X162:$i]: 145.27/20.07 ( ( ![X164:$i]: 145.27/20.07 ( ~( in @ X164 @ X162 ) ) ) => 145.27/20.07 ( ( X162 ) = 145.27/20.07 ( emptyset ) ) ) ) => 145.27/20.07 ( ( ![X166:$i]: 145.27/20.07 ( ( ![X168:$i]: 145.27/20.07 ( ~( in @ 145.27/20.07 X168 @ X166 ) ) ) => 145.27/20.07 ( ( X166 ) = 145.27/20.07 ( emptyset ) ) ) ) => 145.27/20.07 ( ( ![X170:$i, 145.27/20.07 X172:( $i > $o ), 145.27/20.07 X174:$i]: 145.27/20.07 ( ( in @ X174 @ X170 ) => 145.27/20.07 ( ( in @ 145.27/20.07 X174 @ 145.27/20.07 ( dsetconstr @ 145.27/20.07 X170 @ 145.27/20.07 ( ^[V_5:$i]: 145.27/20.07 ( X172 @ 145.27/20.07 V_5 ) ) ) ) <=> 145.27/20.07 ( X172 @ X174 ) ) ) ) => 145.27/20.07 ( ( ![X176:$i]: 145.27/20.07 ( ( ( X176 ) != 145.27/20.07 ( emptyset ) ) => 145.27/20.07 ( ?[X178:$i]: 145.27/20.07 ( in @ 145.27/20.07 X178 @ X176 ) ) ) ) => 145.27/20.07 ( ( ![X180:$i, 145.27/20.07 X182:( 145.27/20.07 $i > $o ), 145.27/20.07 X184:$i]: 145.27/20.07 ( ( in @ 145.27/20.07 X184 @ X180 ) => 145.27/20.07 ( ( X182 @ X184 ) => 145.27/20.07 ( ( dsetconstr 145.27/20.07 @ 145.27/20.07 X180 @ 145.27/20.07 ( 145.27/20.07 ^[ 145.27/20.07 V_6:$i]: 145.27/20.07 ( 145.27/20.07 X182 @ 145.27/20.07 V_6 ) ) ) != 145.27/20.07 ( emptyset ) ) ) ) ) => 145.27/20.07 ( ( ![X186:$i]: 145.27/20.07 ( ( ?[X188:$i]: 145.27/20.07 ( in @ 145.27/20.07 X188 @ 145.27/20.07 X186 ) ) => 145.27/20.07 ( ( X186 ) != 145.27/20.07 ( emptyset ) ) ) ) => 145.27/20.07 ( ( ![X190:$i, 145.27/20.07 X192:$i]: 145.27/20.07 ( in @ 145.27/20.07 X190 @ 145.27/20.07 ( setadjoin 145.27/20.07 @ 145.27/20.07 X190 @ 145.27/20.07 X192 ) ) ) => 145.27/20.07 ( ( in @ 145.27/20.07 emptyset @ 145.27/20.07 ( setadjoin 145.27/20.07 @ 145.27/20.07 emptyset @ 145.27/20.07 emptyset ) ) => 145.27/20.07 ( ( ![ 145.27/20.07 X194:$i, 145.27/20.07 X196:$i, 145.27/20.07 X198:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X198 @ 145.27/20.07 X196 ) => 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X198 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X194 @ 145.27/20.07 X196 ) ) ) ) => 145.27/20.07 ( ( 145.27/20.07 ![ 145.27/20.07 X200:$i, 145.27/20.07 X202:$i, 145.27/20.07 X204:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X204 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X200 @ 145.27/20.07 X202 ) ) => 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X206:$o]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X204 ) = 145.27/20.07 ( 145.27/20.07 X200 ) ) => 145.27/20.07 ( 145.27/20.07 X206 ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X204 @ 145.27/20.07 X202 ) => 145.27/20.07 ( 145.27/20.07 X206 ) ) => 145.27/20.07 ( 145.27/20.07 X206 ) ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X208:$i, 145.27/20.07 X210:$i, 145.27/20.07 X212:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X212 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X208 @ 145.27/20.07 X210 ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X212 ) = 145.27/20.07 ( 145.27/20.07 X208 ) ) | 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X212 @ 145.27/20.07 X210 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X214:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 dsetconstr 145.27/20.07 @ 145.27/20.07 X214 @ 145.27/20.07 ( 145.27/20.07 ^[ 145.27/20.07 V_7:$i]: 145.27/20.07 ( 145.27/20.07 $true ) ) ) = 145.27/20.07 ( 145.27/20.07 X214 ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X216:$i, 145.27/20.07 X218:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X220:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X220 @ 145.27/20.07 X218 ) => 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X220 @ 145.27/20.07 X216 ) ) ) => 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X218 @ 145.27/20.07 ( 145.27/20.07 powerset 145.27/20.07 @ 145.27/20.07 X216 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X222:$i]: 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 emptyset @ 145.27/20.07 ( 145.27/20.07 powerset 145.27/20.07 @ 145.27/20.07 X222 ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X224:$i]: 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 emptyset @ 145.27/20.07 ( 145.27/20.07 powerset 145.27/20.07 @ 145.27/20.07 X224 ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X226:$i, 145.27/20.07 X228:$i, 145.27/20.07 X230:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X228 @ 145.27/20.07 ( 145.27/20.07 powerset 145.27/20.07 @ 145.27/20.07 X226 ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X230 @ 145.27/20.07 X228 ) => 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X230 @ 145.27/20.07 X226 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X232:$i, 145.27/20.07 X234:$i, 145.27/20.07 X236:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X234 @ 145.27/20.07 X236 ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X236 @ 145.27/20.07 X232 ) => 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X234 @ 145.27/20.07 ( 145.27/20.07 setunion 145.27/20.07 @ 145.27/20.07 X232 ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X238:$i, 145.27/20.07 X240:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X240 @ 145.27/20.07 ( 145.27/20.07 setunion 145.27/20.07 @ 145.27/20.07 X238 ) ) => 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X242:$o]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X244:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X240 @ 145.27/20.07 X244 ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X244 @ 145.27/20.07 X238 ) => 145.27/20.07 ( 145.27/20.07 X242 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 X242 ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X246:$i, 145.27/20.07 X248:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X248 @ 145.27/20.07 X246 ) => 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X248 @ 145.27/20.07 ( 145.27/20.07 powerset 145.27/20.07 @ 145.27/20.07 ( 145.27/20.07 setunion 145.27/20.07 @ 145.27/20.07 X246 ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X250:( 145.27/20.07 $i > $o )]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X252:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X254:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X250 @ 145.27/20.07 X254 ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X252 ) = 145.27/20.07 ( 145.27/20.07 X254 ) ) ) ) & 145.27/20.07 ( 145.27/20.07 X250 @ 145.27/20.07 X252 ) ) ) => 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X256:$i]: 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X258:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X250 @ 145.27/20.07 X258 ) <=> 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X258 ) = 145.27/20.07 ( 145.27/20.07 X256 ) ) ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X260:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X260 ) != 145.27/20.07 ( 145.27/20.07 emptyset ) ) => 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X262:$i]: 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X262 @ 145.27/20.07 X260 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X264:$i, 145.27/20.07 X266:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X264 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X266 @ 145.27/20.07 emptyset ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X264 ) = 145.27/20.07 ( 145.27/20.07 X266 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X268:$i, 145.27/20.07 X270:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X268 ) != 145.27/20.07 ( 145.27/20.07 X270 ) ) => 145.27/20.07 ( 145.27/20.07 ~ 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X270 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X268 @ 145.27/20.07 emptyset ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X272:$i, 145.27/20.07 X274:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X272 ) = 145.27/20.07 ( 145.27/20.07 X274 ) ) => 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X272 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X274 @ 145.27/20.07 emptyset ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X276:$i, 145.27/20.07 X278:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X276 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X278 @ 145.27/20.07 emptyset ) ) => 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X278 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X276 @ 145.27/20.07 emptyset ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X280:$i, 145.27/20.07 X282:$i, 145.27/20.07 X284:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X284 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X280 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X282 @ 145.27/20.07 emptyset ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X284 ) = 145.27/20.07 ( 145.27/20.07 X280 ) ) | 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X284 ) = 145.27/20.07 ( 145.27/20.07 X282 ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X286:$i, 145.27/20.07 X288:$i]: 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X286 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X286 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X288 @ 145.27/20.07 emptyset ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X290:$i, 145.27/20.07 X292:$i]: 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X292 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X290 @ 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X292 @ 145.27/20.07 emptyset ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X294:$i, 145.27/20.07 X296:( 145.27/20.07 $i > $o )]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X298:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X296 @ 145.27/20.07 X298 ) & 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X298 @ 145.27/20.07 X294 ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 dsetconstr 145.27/20.07 @ 145.27/20.07 X294 @ 145.27/20.07 ( 145.27/20.07 ^[ 145.27/20.07 V_8:$i]: 145.27/20.07 ( 145.27/20.07 X296 @ 145.27/20.07 V_8 ) ) ) != 145.27/20.07 ( 145.27/20.07 emptyset ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X300:( 145.27/20.07 $i > $o ), 145.27/20.07 X302:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X302 @ 145.27/20.07 emptyset ) => 145.27/20.07 ( 145.27/20.07 X300 @ 145.27/20.07 X302 ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X304:$i, 145.27/20.07 X306:( 145.27/20.07 $i > $o )]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ~ 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X308:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X308 @ 145.27/20.07 X304 ) => 145.27/20.07 ( 145.27/20.07 X306 @ 145.27/20.07 X308 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X310:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ~ 145.27/20.07 ( 145.27/20.07 X306 @ 145.27/20.07 X310 ) ) & 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X310 @ 145.27/20.07 X304 ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X312:$i, 145.27/20.07 X314:( 145.27/20.07 $i > $o )]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X316:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X316 @ 145.27/20.07 X312 ) => 145.27/20.07 ( 145.27/20.07 ~ 145.27/20.07 ( 145.27/20.07 X314 @ 145.27/20.07 X316 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ~ 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X318:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X314 @ 145.27/20.07 X318 ) & 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X318 @ 145.27/20.07 X312 ) ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X320:$i, 145.27/20.07 X322:( 145.27/20.07 $i > $o )]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ~ 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X324:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X322 @ 145.27/20.07 X324 ) & 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X324 @ 145.27/20.07 X320 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X326:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X326 @ 145.27/20.07 X320 ) => 145.27/20.07 ( 145.27/20.07 ~ 145.27/20.07 ( 145.27/20.07 X322 @ 145.27/20.07 X326 ) ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X328:$i, 145.27/20.07 X330:( 145.27/20.07 $i > $o )]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X332:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ~ 145.27/20.07 ( 145.27/20.07 X330 @ 145.27/20.07 X332 ) ) & 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X332 @ 145.27/20.07 X328 ) ) ) => 145.27/20.07 ( 145.27/20.07 ~ 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X334:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X334 @ 145.27/20.07 X328 ) => 145.27/20.07 ( 145.27/20.07 X330 @ 145.27/20.07 X334 ) ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X336:$o]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X336 ) => 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 emptyset @ 145.27/20.07 ( 145.27/20.07 prop2set 145.27/20.07 @ 145.27/20.07 X336 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X338:$o]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X338 ) => 145.27/20.07 ( 145.27/20.07 set2prop 145.27/20.07 @ 145.27/20.07 ( 145.27/20.07 prop2set 145.27/20.07 @ 145.27/20.07 X338 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X340:$i, 145.27/20.07 X342:( 145.27/20.07 $i > $o )]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ~ 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X344:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X342 @ 145.27/20.07 X344 ) & 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X344 @ 145.27/20.07 X340 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X346:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X346 @ 145.27/20.07 X340 ) => 145.27/20.07 ( 145.27/20.07 ~ 145.27/20.07 ( 145.27/20.07 X342 @ 145.27/20.07 X346 ) ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X348:$i, 145.27/20.07 X350:( 145.27/20.07 $i > $o )]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ~ 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X352:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X352 @ 145.27/20.07 X348 ) => 145.27/20.07 ( 145.27/20.07 X350 @ 145.27/20.07 X352 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X354:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ~ 145.27/20.07 ( 145.27/20.07 X350 @ 145.27/20.07 X354 ) ) & 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X354 @ 145.27/20.07 X348 ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X356:( 145.27/20.07 $i > $o )]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X358:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X360:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X356 @ 145.27/20.07 X360 ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X358 ) = 145.27/20.07 ( 145.27/20.07 X360 ) ) ) ) & 145.27/20.07 ( 145.27/20.07 X356 @ 145.27/20.07 X358 ) ) ) => 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X362:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X364:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X356 @ 145.27/20.07 X364 ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X362 ) = 145.27/20.07 ( 145.27/20.07 X364 ) ) ) ) & 145.27/20.07 ( 145.27/20.07 X356 @ 145.27/20.07 X362 ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X366:( 145.27/20.07 $i > $o )]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X368:$i]: 145.27/20.07 ( 145.27/20.07 X366 @ 145.27/20.07 X368 ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X370:$i, 145.27/20.07 X372:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X366 @ 145.27/20.07 X370 ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X366 @ 145.27/20.07 X372 ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X370 ) = 145.27/20.07 ( 145.27/20.07 X372 ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X374:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X376:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X366 @ 145.27/20.07 X376 ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X374 ) = 145.27/20.07 ( 145.27/20.07 X376 ) ) ) ) & 145.27/20.07 ( 145.27/20.07 X366 @ 145.27/20.07 X374 ) ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X378:( 145.27/20.07 $i > $o )]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X380:$i]: 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X382:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X378 @ 145.27/20.07 X382 ) <=> 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X382 ) = 145.27/20.07 ( 145.27/20.07 X380 ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X384:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X386:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X378 @ 145.27/20.07 X386 ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X384 ) = 145.27/20.07 ( 145.27/20.07 X386 ) ) ) ) & 145.27/20.07 ( 145.27/20.07 X378 @ 145.27/20.07 X384 ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X388:$i, 145.27/20.07 X390:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X388 ) = 145.27/20.07 ( 145.27/20.07 X390 ) ) => 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X392:$i, 145.27/20.07 X394:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X392 ) = 145.27/20.07 ( 145.27/20.07 X394 ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X392 @ 145.27/20.07 X388 ) => 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X394 @ 145.27/20.07 X390 ) ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X396:$i, 145.27/20.07 X398:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X396 ) = 145.27/20.07 ( 145.27/20.07 X398 ) ) => 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X400:$i, 145.27/20.07 X402:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X400 ) = 145.27/20.07 ( 145.27/20.07 X402 ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X400 @ 145.27/20.07 X396 ) <=> 145.27/20.07 ( 145.27/20.07 in @ 145.27/20.07 X402 @ 145.27/20.07 X398 ) ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X404:( 145.27/20.07 $i > $o )]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X406:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X408:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X404 @ 145.27/20.07 X408 ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X406 ) = 145.27/20.07 ( 145.27/20.07 X408 ) ) ) ) & 145.27/20.07 ( 145.27/20.07 X404 @ 145.27/20.07 X406 ) ) ) => 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X410:$i, 145.27/20.07 X412:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X404 @ 145.27/20.07 X410 ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X404 @ 145.27/20.07 X412 ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X410 ) = 145.27/20.07 ( 145.27/20.07 X412 ) ) ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X414:( 145.27/20.07 $i > $o ), 145.27/20.07 X416:( 145.27/20.07 $i > $o )]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X418:$i, 145.27/20.07 X420:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X418 ) = 145.27/20.07 ( 145.27/20.07 X420 ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X414 @ 145.27/20.07 X418 ) <=> 145.27/20.07 ( 145.27/20.07 X416 @ 145.27/20.07 X420 ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X422:$i]: 145.27/20.07 ( 145.27/20.07 zip_tseitin_5 145.27/20.07 @ 145.27/20.07 X422 @ 145.27/20.07 X414 ) ) <=> 145.27/20.07 ( 145.27/20.07 ?[ 145.27/20.07 X426:$i]: 145.27/20.07 ( 145.27/20.07 zip_tseitin_5 145.27/20.07 @ 145.27/20.07 X426 @ 145.27/20.07 X416 ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 emptyset ) = 145.27/20.07 ( 145.27/20.07 emptyset ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X430:$i, 145.27/20.07 X432:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X430 ) = 145.27/20.07 ( 145.27/20.07 X432 ) ) => 145.27/20.07 ( 145.27/20.07 ![ 145.27/20.07 X434:$i, 145.27/20.07 X436:$i]: 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 X434 ) = 145.27/20.07 ( 145.27/20.07 X436 ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X430 @ 145.27/20.07 X434 ) = 145.27/20.07 ( 145.27/20.07 setadjoin 145.27/20.07 @ 145.27/20.07 X432 @ 145.27/20.07 X436 ) ) ) ) ) ) => 145.27/20.07 ( 145.27/20.07 ( 145.27/20.08 ![ 145.27/20.08 X438:$i, 145.27/20.08 X440:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X438 ) = 145.27/20.08 ( 145.27/20.08 X440 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 powerset 145.27/20.08 @ 145.27/20.08 X438 ) = 145.27/20.08 ( 145.27/20.08 powerset 145.27/20.08 @ 145.27/20.08 X440 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X442:$i, 145.27/20.08 X444:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X442 ) = 145.27/20.08 ( 145.27/20.08 X444 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 setunion 145.27/20.08 @ 145.27/20.08 X442 ) = 145.27/20.08 ( 145.27/20.08 setunion 145.27/20.08 @ 145.27/20.08 X444 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 omega ) = 145.27/20.08 ( 145.27/20.08 omega ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X446:( 145.27/20.08 $i > $o )]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ?[ 145.27/20.08 X448:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X450:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X446 @ 145.27/20.08 X450 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X448 ) = 145.27/20.08 ( 145.27/20.08 X450 ) ) ) ) & 145.27/20.08 ( 145.27/20.08 X446 @ 145.27/20.08 X448 ) ) ) => 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X452:$i, 145.27/20.08 X454:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X446 @ 145.27/20.08 X452 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X446 @ 145.27/20.08 X454 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X452 ) = 145.27/20.08 ( 145.27/20.08 X454 ) ) ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X456:( 145.27/20.08 $i > $o ), 145.27/20.08 X458:( 145.27/20.08 $i > $o )]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X460:$i, 145.27/20.08 X462:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X460 ) = 145.27/20.08 ( 145.27/20.08 X462 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X456 @ 145.27/20.08 X460 ) <=> 145.27/20.08 ( 145.27/20.08 X458 @ 145.27/20.08 X462 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ?[ 145.27/20.08 X464:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X466:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X456 @ 145.27/20.08 X466 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X464 ) = 145.27/20.08 ( 145.27/20.08 X466 ) ) ) ) & 145.27/20.08 ( 145.27/20.08 X456 @ 145.27/20.08 X464 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ?[ 145.27/20.08 X468:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X470:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X458 @ 145.27/20.08 X470 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X468 ) = 145.27/20.08 ( 145.27/20.08 X470 ) ) ) ) & 145.27/20.08 ( 145.27/20.08 X458 @ 145.27/20.08 X468 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 descr @ 145.27/20.08 ( 145.27/20.08 ^[ 145.27/20.08 V_9:$i]: 145.27/20.08 ( 145.27/20.08 X456 @ 145.27/20.08 V_9 ) ) ) = 145.27/20.08 ( 145.27/20.08 descr @ 145.27/20.08 ( 145.27/20.08 ^[ 145.27/20.08 V_10:$i]: 145.27/20.08 ( 145.27/20.08 X458 @ 145.27/20.08 V_10 ) ) ) ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X472:$i, 145.27/20.08 X474:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X472 ) = 145.27/20.08 ( 145.27/20.08 X474 ) ) => 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X476:( 145.27/20.08 $i > $o ), 145.27/20.08 X478:( 145.27/20.08 $i > $o )]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X480:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X480 @ 145.27/20.08 X472 ) => 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X482:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X482 @ 145.27/20.08 X474 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X480 ) = 145.27/20.08 ( 145.27/20.08 X482 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X476 @ 145.27/20.08 X480 ) <=> 145.27/20.08 ( 145.27/20.08 X478 @ 145.27/20.08 X482 ) ) ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 dsetconstr 145.27/20.08 @ 145.27/20.08 X472 @ 145.27/20.08 ( 145.27/20.08 ^[ 145.27/20.08 V_11:$i]: 145.27/20.08 ( 145.27/20.08 X476 @ 145.27/20.08 V_11 ) ) ) = 145.27/20.08 ( 145.27/20.08 dsetconstr 145.27/20.08 @ 145.27/20.08 X474 @ 145.27/20.08 ( 145.27/20.08 ^[ 145.27/20.08 V_12:$i]: 145.27/20.08 ( 145.27/20.08 X478 @ 145.27/20.08 V_12 ) ) ) ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X484:$i, 145.27/20.08 X486:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X488:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X488 @ 145.27/20.08 X484 ) => 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X488 @ 145.27/20.08 X486 ) ) ) => 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X484 @ 145.27/20.08 X486 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X490:$i, 145.27/20.08 X492:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X490 ) = 145.27/20.08 ( 145.27/20.08 X492 ) ) => 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X492 @ 145.27/20.08 X490 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X494:$i, 145.27/20.08 X496:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X494 ) = 145.27/20.08 ( 145.27/20.08 X496 ) ) => 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X494 @ 145.27/20.08 X496 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X498:$i, 145.27/20.08 X500:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X502:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X502 @ 145.27/20.08 X498 ) => 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X502 @ 145.27/20.08 X500 ) ) ) => 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X498 @ 145.27/20.08 X500 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X504:$i]: 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 emptyset @ 145.27/20.08 X504 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X506:$i, 145.27/20.08 X508:$i, 145.27/20.08 X510:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X506 @ 145.27/20.08 X508 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X510 @ 145.27/20.08 X506 ) => 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X510 @ 145.27/20.08 X508 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X512:$i, 145.27/20.08 X514:$i, 145.27/20.08 X516:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X512 @ 145.27/20.08 X514 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X516 @ 145.27/20.08 X514 ) ) => 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X516 @ 145.27/20.08 X512 ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X518:$i, 145.27/20.08 X520:$i, 145.27/20.08 X522:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X522 @ 145.27/20.08 X518 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X522 @ 145.27/20.08 X520 ) ) => 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X518 @ 145.27/20.08 X520 ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X524:$i, 145.27/20.08 X526:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X524 @ 145.27/20.08 X526 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X524 ) != 145.27/20.08 ( 145.27/20.08 X526 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X528:$i, 145.27/20.08 X530:$i, 145.27/20.08 X532:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X532 @ 145.27/20.08 X528 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X532 @ 145.27/20.08 X530 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X528 ) != 145.27/20.08 ( 145.27/20.08 X530 ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X534:$i]: 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X534 @ 145.27/20.08 X534 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X536:$i, 145.27/20.08 X538:$i, 145.27/20.08 X540:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X536 @ 145.27/20.08 X538 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X538 @ 145.27/20.08 X540 ) => 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X536 @ 145.27/20.08 X540 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X542:$i, 145.27/20.08 X544:$i]: 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X544 @ 145.27/20.08 ( 145.27/20.08 setadjoin 145.27/20.08 @ 145.27/20.08 X542 @ 145.27/20.08 X544 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X546:$i, 145.27/20.08 X548:$i, 145.27/20.08 X550:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X546 @ 145.27/20.08 X550 ) => 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X546 @ 145.27/20.08 ( 145.27/20.08 setadjoin 145.27/20.08 @ 145.27/20.08 X548 @ 145.27/20.08 X550 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X552:$i, 145.27/20.08 X554:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X552 @ 145.27/20.08 X554 ) => 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X552 @ 145.27/20.08 ( 145.27/20.08 powerset 145.27/20.08 @ 145.27/20.08 X554 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X556:$i, 145.27/20.08 X558:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X556 @ 145.27/20.08 X558 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X558 @ 145.27/20.08 X556 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X556 ) = 145.27/20.08 ( 145.27/20.08 X558 ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X560:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X560 @ 145.27/20.08 emptyset ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 X560 ) = 145.27/20.08 ( 145.27/20.08 emptyset ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X562:$i, 145.27/20.08 X564:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X564 @ 145.27/20.08 X562 ) => 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X564 @ 145.27/20.08 ( 145.27/20.08 powerset 145.27/20.08 @ 145.27/20.08 X562 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X566:$i, 145.27/20.08 X568:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X568 @ 145.27/20.08 ( 145.27/20.08 powerset 145.27/20.08 @ 145.27/20.08 X566 ) ) => 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X568 @ 145.27/20.08 X566 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X570:$i]: 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X570 @ 145.27/20.08 ( 145.27/20.08 powerset 145.27/20.08 @ 145.27/20.08 X570 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X572:$i, 145.27/20.08 X574:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X572 @ 145.27/20.08 X574 ) => 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 ( 145.27/20.08 powerset 145.27/20.08 @ 145.27/20.08 X572 ) @ 145.27/20.08 ( 145.27/20.08 powerset 145.27/20.08 @ 145.27/20.08 X574 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X576:$i, 145.27/20.08 X578:( 145.27/20.08 $i > $o )]: 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 ( 145.27/20.08 dsetconstr 145.27/20.08 @ 145.27/20.08 X576 @ 145.27/20.08 ( 145.27/20.08 ^[ 145.27/20.08 V_13:$i]: 145.27/20.08 ( 145.27/20.08 X578 @ 145.27/20.08 V_13 ) ) ) @ 145.27/20.08 ( 145.27/20.08 powerset 145.27/20.08 @ 145.27/20.08 X576 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X580:$i, 145.27/20.08 X582:( 145.27/20.08 $i > $o )]: 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 ( 145.27/20.08 dsetconstr 145.27/20.08 @ 145.27/20.08 X580 @ 145.27/20.08 ( 145.27/20.08 ^[ 145.27/20.08 V_14:$i]: 145.27/20.08 ( 145.27/20.08 X582 @ 145.27/20.08 V_14 ) ) ) @ 145.27/20.08 X580 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X584:$i, 145.27/20.08 X586:$i, 145.27/20.08 X588:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X588 @ 145.27/20.08 X584 ) => 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X588 @ 145.27/20.08 ( 145.27/20.08 binunion 145.27/20.08 @ 145.27/20.08 X584 @ 145.27/20.08 X586 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X590:$i, 145.27/20.08 X592:$i]: 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X592 @ 145.27/20.08 ( 145.27/20.08 setadjoin 145.27/20.08 @ 145.27/20.08 X590 @ 145.27/20.08 ( 145.27/20.08 setadjoin 145.27/20.08 @ 145.27/20.08 X592 @ 145.27/20.08 emptyset ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X594:$i, 145.27/20.08 X596:$i, 145.27/20.08 X598:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X598 @ 145.27/20.08 X596 ) => 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X598 @ 145.27/20.08 ( 145.27/20.08 binunion 145.27/20.08 @ 145.27/20.08 X594 @ 145.27/20.08 X596 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X600:$i, 145.27/20.08 X602:$i, 145.27/20.08 X604:$i, 145.27/20.08 X606:$o]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X604 @ 145.27/20.08 ( 145.27/20.08 binunion 145.27/20.08 @ 145.27/20.08 X600 @ 145.27/20.08 X602 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X604 @ 145.27/20.08 X600 ) => 145.27/20.08 ( 145.27/20.08 X606 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X604 @ 145.27/20.08 X602 ) => 145.27/20.08 ( 145.27/20.08 X606 ) ) => 145.27/20.08 ( 145.27/20.08 X606 ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X608:$i, 145.27/20.08 X610:$i, 145.27/20.08 X612:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X612 @ 145.27/20.08 ( 145.27/20.08 binunion 145.27/20.08 @ 145.27/20.08 X608 @ 145.27/20.08 X610 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X612 @ 145.27/20.08 X608 ) | 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X612 @ 145.27/20.08 X610 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X614:$i, 145.27/20.08 X616:$i]: 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X614 @ 145.27/20.08 ( 145.27/20.08 binunion 145.27/20.08 @ 145.27/20.08 X614 @ 145.27/20.08 X616 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X618:$i, 145.27/20.08 X620:$i]: 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X620 @ 145.27/20.08 ( 145.27/20.08 binunion 145.27/20.08 @ 145.27/20.08 X618 @ 145.27/20.08 X620 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X622:$i, 145.27/20.08 X624:$i, 145.27/20.08 X626:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X626 @ 145.27/20.08 X622 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X626 @ 145.27/20.08 X624 ) => 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X626 @ 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X622 @ 145.27/20.08 X624 ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X628:$i, 145.27/20.08 X630:$i, 145.27/20.08 X632:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X632 @ 145.27/20.08 X628 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X632 @ 145.27/20.08 X630 ) => 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X632 @ 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X628 @ 145.27/20.08 X630 ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X634:$i, 145.27/20.08 X636:$i, 145.27/20.08 X638:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X638 @ 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X634 @ 145.27/20.08 X636 ) ) => 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X638 @ 145.27/20.08 X634 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X640:$i, 145.27/20.08 X642:$i]: 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X640 @ 145.27/20.08 X642 ) @ 145.27/20.08 X640 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X644:$i, 145.27/20.08 X646:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X644 @ 145.27/20.08 X646 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X644 @ 145.27/20.08 X646 ) = 145.27/20.08 ( 145.27/20.08 X644 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X648:$i, 145.27/20.08 X650:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X648 @ 145.27/20.08 X650 ) = 145.27/20.08 ( 145.27/20.08 X650 ) ) => 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X650 @ 145.27/20.08 X648 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X652:$i, 145.27/20.08 X654:$i, 145.27/20.08 X656:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X656 @ 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X652 @ 145.27/20.08 X654 ) ) => 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X656 @ 145.27/20.08 X654 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X658:$i, 145.27/20.08 X660:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 ?[ 145.27/20.08 X662:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X662 @ 145.27/20.08 X660 ) & 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X662 @ 145.27/20.08 X658 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X658 @ 145.27/20.08 X660 ) = 145.27/20.08 ( 145.27/20.08 emptyset ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X664:$i, 145.27/20.08 X666:$i]: 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X664 @ 145.27/20.08 X666 ) @ 145.27/20.08 X666 ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X668:$i, 145.27/20.08 X670:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X670 @ 145.27/20.08 X668 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X668 @ 145.27/20.08 X670 ) = 145.27/20.08 ( 145.27/20.08 X670 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X672:$i, 145.27/20.08 X674:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X672 @ 145.27/20.08 X674 ) = 145.27/20.08 ( 145.27/20.08 X672 ) ) => 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X672 @ 145.27/20.08 X674 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X676:$i, 145.27/20.08 X678:$i, 145.27/20.08 X680:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X676 @ 145.27/20.08 ( 145.27/20.08 binunion 145.27/20.08 @ 145.27/20.08 X678 @ 145.27/20.08 X680 ) ) = 145.27/20.08 ( 145.27/20.08 binunion 145.27/20.08 @ 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X676 @ 145.27/20.08 X678 ) @ 145.27/20.08 ( 145.27/20.08 binintersect 145.27/20.08 @ 145.27/20.08 X676 @ 145.27/20.08 X680 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X682:$i, 145.27/20.08 X684:$i, 145.27/20.08 X686:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X686 @ 145.27/20.08 X682 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X686 @ 145.27/20.08 X684 ) ) => 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X686 @ 145.27/20.08 ( 145.27/20.08 setminus 145.27/20.08 @ 145.27/20.08 X682 @ 145.27/20.08 X684 ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X688:$i, 145.27/20.08 X690:$i, 145.27/20.08 X692:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X692 @ 145.27/20.08 ( 145.27/20.08 setminus 145.27/20.08 @ 145.27/20.08 X688 @ 145.27/20.08 X690 ) ) => 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X692 @ 145.27/20.08 X688 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X694:$i, 145.27/20.08 X696:$i, 145.27/20.08 X698:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X698 @ 145.27/20.08 ( 145.27/20.08 setminus 145.27/20.08 @ 145.27/20.08 X694 @ 145.27/20.08 X696 ) ) => 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X698 @ 145.27/20.08 X696 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X700:$i, 145.27/20.08 X702:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 subset @ 145.27/20.08 X700 @ 145.27/20.08 X702 ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 setminus 145.27/20.08 @ 145.27/20.08 X700 @ 145.27/20.08 X702 ) = 145.27/20.08 ( 145.27/20.08 emptyset ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X704:$i, 145.27/20.08 X706:$i, 145.27/20.08 X708:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X708 @ 145.27/20.08 ( 145.27/20.08 setminus 145.27/20.08 @ 145.27/20.08 X704 @ 145.27/20.08 X706 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X708 @ 145.27/20.08 X704 ) => 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X708 @ 145.27/20.08 X706 ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X710:$i, 145.27/20.08 X712:$i, 145.27/20.08 X714:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X714 @ 145.27/20.08 ( 145.27/20.08 setminus 145.27/20.08 @ 145.27/20.08 X710 @ 145.27/20.08 X712 ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X714 @ 145.27/20.08 X712 ) ) => 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X714 @ 145.27/20.08 X710 ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X716:$i, 145.27/20.08 X718:$i, 145.27/20.08 X720:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X720 @ 145.27/20.08 X716 ) ) => 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X720 @ 145.27/20.08 ( 145.27/20.08 setminus 145.27/20.08 @ 145.27/20.08 X716 @ 145.27/20.08 X718 ) ) ) ) ) => 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 ![ 145.27/20.08 X722:$i, 145.27/20.08 X724:$i, 145.27/20.08 X726:$i]: 145.27/20.08 ( 145.27/20.08 ( 145.27/20.08 in @ 145.27/20.08 X726 @ 145.27/20.08 X724 ) => 145.27/20.08 ( 145.27/20.08 ~ 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X726 @ 145.27/20.09 ( 145.27/20.09 setminus 145.27/20.09 @ 145.27/20.09 X722 @ 145.27/20.09 X724 ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X728:$i, 145.27/20.09 X730:$i]: 145.27/20.09 ( 145.27/20.09 subset @ 145.27/20.09 ( 145.27/20.09 setminus 145.27/20.09 @ 145.27/20.09 X728 @ 145.27/20.09 X730 ) @ 145.27/20.09 X728 ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X732:$i, 145.27/20.09 X734:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 setminus 145.27/20.09 @ 145.27/20.09 X732 @ 145.27/20.09 X734 ) = 145.27/20.09 ( 145.27/20.09 emptyset ) ) => 145.27/20.09 ( 145.27/20.09 subset @ 145.27/20.09 X732 @ 145.27/20.09 X734 ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X736:$i, 145.27/20.09 X738:$i, 145.27/20.09 X740:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X740 @ 145.27/20.09 ( 145.27/20.09 symdiff @ 145.27/20.09 X736 @ 145.27/20.09 X738 ) ) => 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X742:$o]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X740 @ 145.27/20.09 X736 ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ~ 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X740 @ 145.27/20.09 X738 ) ) => 145.27/20.09 ( 145.27/20.09 X742 ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ~ 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X740 @ 145.27/20.09 X736 ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X740 @ 145.27/20.09 X738 ) => 145.27/20.09 ( 145.27/20.09 X742 ) ) ) => 145.27/20.09 ( 145.27/20.09 X742 ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X744:$i, 145.27/20.09 X746:$i, 145.27/20.09 X748:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X748 @ 145.27/20.09 X744 ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ~ 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X748 @ 145.27/20.09 X746 ) ) => 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X748 @ 145.27/20.09 ( 145.27/20.09 symdiff @ 145.27/20.09 X744 @ 145.27/20.09 X746 ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X750:$i, 145.27/20.09 X752:$i, 145.27/20.09 X754:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ~ 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X754 @ 145.27/20.09 X750 ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X754 @ 145.27/20.09 X752 ) => 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X754 @ 145.27/20.09 ( 145.27/20.09 symdiff @ 145.27/20.09 X750 @ 145.27/20.09 X752 ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X756:$i, 145.27/20.09 X758:$i, 145.27/20.09 X760:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X760 @ 145.27/20.09 X756 ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X760 @ 145.27/20.09 X758 ) => 145.27/20.09 ( 145.27/20.09 ~ 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X760 @ 145.27/20.09 ( 145.27/20.09 symdiff @ 145.27/20.09 X756 @ 145.27/20.09 X758 ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X762:$i, 145.27/20.09 X764:$i, 145.27/20.09 X766:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ~ 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X766 @ 145.27/20.09 X762 ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ~ 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X766 @ 145.27/20.09 X764 ) ) => 145.27/20.09 ( 145.27/20.09 ~ 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X766 @ 145.27/20.09 ( 145.27/20.09 symdiff @ 145.27/20.09 X762 @ 145.27/20.09 X764 ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X768:$i, 145.27/20.09 X770:$i]: 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X770 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X768 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X770 @ 145.27/20.09 emptyset ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X772:$i, 145.27/20.09 X774:$i]: 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X772 @ 145.27/20.09 ( 145.27/20.09 setunion 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X772 @ 145.27/20.09 emptyset ) @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X772 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X774 @ 145.27/20.09 emptyset ) ) @ 145.27/20.09 emptyset ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X776:$i, 145.27/20.09 X778:$i]: 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X778 @ 145.27/20.09 ( 145.27/20.09 setunion 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X776 @ 145.27/20.09 emptyset ) @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X776 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X778 @ 145.27/20.09 emptyset ) ) @ 145.27/20.09 emptyset ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X780:$i, 145.27/20.09 X782:$i]: 145.27/20.09 ( 145.27/20.09 iskpair @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X780 @ 145.27/20.09 emptyset ) @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X780 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X782 @ 145.27/20.09 emptyset ) ) @ 145.27/20.09 emptyset ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X784:$i, 145.27/20.09 X786:$i]: 145.27/20.09 ( 145.27/20.09 iskpair @ 145.27/20.09 ( 145.27/20.09 kpair @ 145.27/20.09 X784 @ 145.27/20.09 X786 ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X788:$i, 145.27/20.09 X790:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X790 @ 145.27/20.09 X788 ) => 145.27/20.09 ( 145.27/20.09 subset @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X790 @ 145.27/20.09 emptyset ) @ 145.27/20.09 X788 ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X792:$i, 145.27/20.09 X794:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X794 @ 145.27/20.09 X792 ) => 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X794 @ 145.27/20.09 emptyset ) @ 145.27/20.09 ( 145.27/20.09 powerset 145.27/20.09 @ 145.27/20.09 X792 ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X796:$i, 145.27/20.09 X798:$i, 145.27/20.09 X800:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X800 @ 145.27/20.09 X796 ) => 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X800 @ 145.27/20.09 emptyset ) @ 145.27/20.09 ( 145.27/20.09 powerset 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 binunion 145.27/20.09 @ 145.27/20.09 X796 @ 145.27/20.09 X798 ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X802:$i, 145.27/20.09 X804:$i, 145.27/20.09 X806:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X806 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X802 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X804 @ 145.27/20.09 emptyset ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X806 ) = 145.27/20.09 ( 145.27/20.09 X802 ) ) | 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X806 ) = 145.27/20.09 ( 145.27/20.09 X804 ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X808:$i, 145.27/20.09 X810:$i, 145.27/20.09 X812:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X812 @ 145.27/20.09 X808 ) => 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X814:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X814 @ 145.27/20.09 X810 ) => 145.27/20.09 ( 145.27/20.09 subset @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X812 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X814 @ 145.27/20.09 emptyset ) ) @ 145.27/20.09 ( 145.27/20.09 binunion 145.27/20.09 @ 145.27/20.09 X808 @ 145.27/20.09 X810 ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X816:$i, 145.27/20.09 X818:$i, 145.27/20.09 X820:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X820 @ 145.27/20.09 X816 ) => 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X822:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X822 @ 145.27/20.09 X818 ) => 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X820 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X822 @ 145.27/20.09 emptyset ) ) @ 145.27/20.09 ( 145.27/20.09 powerset 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 binunion 145.27/20.09 @ 145.27/20.09 X816 @ 145.27/20.09 X818 ) ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X824:$i, 145.27/20.09 X826:$i, 145.27/20.09 X828:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X828 @ 145.27/20.09 X824 ) => 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X830:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X830 @ 145.27/20.09 X826 ) => 145.27/20.09 ( 145.27/20.09 subset @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X828 @ 145.27/20.09 emptyset ) @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X828 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X830 @ 145.27/20.09 emptyset ) ) @ 145.27/20.09 emptyset ) ) @ 145.27/20.09 ( 145.27/20.09 powerset 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 binunion 145.27/20.09 @ 145.27/20.09 X824 @ 145.27/20.09 X826 ) ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X832:$i, 145.27/20.09 X834:$i, 145.27/20.09 X836:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X836 @ 145.27/20.09 X832 ) => 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X838:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X838 @ 145.27/20.09 X834 ) => 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X836 @ 145.27/20.09 emptyset ) @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X836 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X838 @ 145.27/20.09 emptyset ) ) @ 145.27/20.09 emptyset ) ) @ 145.27/20.09 ( 145.27/20.09 powerset 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 powerset 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 binunion 145.27/20.09 @ 145.27/20.09 X832 @ 145.27/20.09 X834 ) ) ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X840:$i, 145.27/20.09 X842:$i, 145.27/20.09 X844:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X844 @ 145.27/20.09 X840 ) => 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X846:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X846 @ 145.27/20.09 X842 ) => 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 ( 145.27/20.09 kpair @ 145.27/20.09 X844 @ 145.27/20.09 X846 ) @ 145.27/20.09 ( 145.27/20.09 powerset 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 powerset 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 binunion 145.27/20.09 @ 145.27/20.09 X840 @ 145.27/20.09 X842 ) ) ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X848:$i, 145.27/20.09 X850:$i, 145.27/20.09 X852:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X852 @ 145.27/20.09 X848 ) => 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X854:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X854 @ 145.27/20.09 X850 ) => 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 ( 145.27/20.09 kpair @ 145.27/20.09 X852 @ 145.27/20.09 X854 ) @ 145.27/20.09 ( 145.27/20.09 cartprod 145.27/20.09 @ 145.27/20.09 X848 @ 145.27/20.09 X850 ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X856:$i, 145.27/20.09 X858:$i, 145.27/20.09 X860:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X860 @ 145.27/20.09 ( 145.27/20.09 cartprod 145.27/20.09 @ 145.27/20.09 X856 @ 145.27/20.09 X858 ) ) => 145.27/20.09 ( 145.27/20.09 ?[ 145.27/20.09 X862:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ?[ 145.27/20.09 X864:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X860 ) = 145.27/20.09 ( 145.27/20.09 kpair @ 145.27/20.09 X862 @ 145.27/20.09 X864 ) ) & 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X864 @ 145.27/20.09 X858 ) ) ) & 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X862 @ 145.27/20.09 X856 ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X866:$i, 145.27/20.09 X868:$i, 145.27/20.09 X870:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X870 @ 145.27/20.09 ( 145.27/20.09 cartprod 145.27/20.09 @ 145.27/20.09 X866 @ 145.27/20.09 X868 ) ) => 145.27/20.09 ( 145.27/20.09 iskpair @ 145.27/20.09 X870 ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X872:$i, 145.27/20.09 X874:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X874 @ 145.27/20.09 ( 145.27/20.09 setunion 145.27/20.09 @ 145.27/20.09 X872 ) ) => 145.27/20.09 ( 145.27/20.09 ?[ 145.27/20.09 X876:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X874 @ 145.27/20.09 X876 ) & 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X876 @ 145.27/20.09 X872 ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X878:$i]: 145.27/20.09 ( 145.27/20.09 subset @ 145.27/20.09 ( 145.27/20.09 setunion 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X878 @ 145.27/20.09 emptyset ) ) @ 145.27/20.09 X878 ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X880:$i]: 145.27/20.09 ( 145.27/20.09 subset @ 145.27/20.09 X880 @ 145.27/20.09 ( 145.27/20.09 setunion 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X880 @ 145.27/20.09 emptyset ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X882:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 setunion 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X882 @ 145.27/20.09 emptyset ) ) = 145.27/20.09 ( 145.27/20.09 X882 ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X884:$i, 145.27/20.09 X886:( 145.27/20.09 $i > $o )]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X888:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X888 @ 145.27/20.09 X884 ) => 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X890:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X890 @ 145.27/20.09 X884 ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X886 @ 145.27/20.09 X888 ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X886 @ 145.27/20.09 X890 ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X888 ) = 145.27/20.09 ( 145.27/20.09 X890 ) ) ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ?[ 145.27/20.09 X892:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X886 @ 145.27/20.09 X892 ) & 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X892 @ 145.27/20.09 X884 ) ) ) => 145.27/20.09 ( 145.27/20.09 ?[ 145.27/20.09 X894:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 dsetconstr 145.27/20.09 @ 145.27/20.09 X884 @ 145.27/20.09 ( 145.27/20.09 ^[ 145.27/20.09 V_15:$i]: 145.27/20.09 ( 145.27/20.09 X886 @ 145.27/20.09 V_15 ) ) ) = 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X894 @ 145.27/20.09 emptyset ) ) & 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X894 @ 145.27/20.09 ( 145.27/20.09 dsetconstr 145.27/20.09 @ 145.27/20.09 X884 @ 145.27/20.09 ( 145.27/20.09 ^[ 145.27/20.09 V_16:$i]: 145.27/20.09 ( 145.27/20.09 X886 @ 145.27/20.09 V_16 ) ) ) ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X896:$i, 145.27/20.09 X898:( 145.27/20.09 $i > $o )]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ?[ 145.27/20.09 X900:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 dsetconstr 145.27/20.09 @ 145.27/20.09 X896 @ 145.27/20.09 ( 145.27/20.09 ^[ 145.27/20.09 V_17:$i]: 145.27/20.09 ( 145.27/20.09 X898 @ 145.27/20.09 V_17 ) ) ) = 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X900 @ 145.27/20.09 emptyset ) ) & 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X900 @ 145.27/20.09 ( 145.27/20.09 dsetconstr 145.27/20.09 @ 145.27/20.09 X896 @ 145.27/20.09 ( 145.27/20.09 ^[ 145.27/20.09 V_18:$i]: 145.27/20.09 ( 145.27/20.09 X898 @ 145.27/20.09 V_18 ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ?[ 145.27/20.09 X902:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X898 @ 145.27/20.09 X902 ) & 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X902 @ 145.27/20.09 X896 ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X904:$i, 145.27/20.09 X906:( 145.27/20.09 $i > $o ), 145.27/20.09 X908:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X908 @ 145.27/20.09 X904 ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X906 @ 145.27/20.09 X908 ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X910:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X910 @ 145.27/20.09 X904 ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X906 @ 145.27/20.09 X910 ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X910 ) = 145.27/20.09 ( 145.27/20.09 X908 ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ?[ 145.27/20.09 X912:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 dsetconstr 145.27/20.09 @ 145.27/20.09 X904 @ 145.27/20.09 ( 145.27/20.09 ^[ 145.27/20.09 V_19:$i]: 145.27/20.09 ( 145.27/20.09 X906 @ 145.27/20.09 V_19 ) ) ) = 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X912 @ 145.27/20.09 emptyset ) ) & 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X912 @ 145.27/20.09 ( 145.27/20.09 dsetconstr 145.27/20.09 @ 145.27/20.09 X904 @ 145.27/20.09 ( 145.27/20.09 ^[ 145.27/20.09 V_20:$i]: 145.27/20.09 ( 145.27/20.09 X906 @ 145.27/20.09 V_20 ) ) ) ) ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X914:$i, 145.27/20.09 X916:( 145.27/20.09 $i > $o )]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X918:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X918 @ 145.27/20.09 X914 ) => 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X920:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X920 @ 145.27/20.09 X914 ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X916 @ 145.27/20.09 X918 ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X916 @ 145.27/20.09 X920 ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X918 ) = 145.27/20.09 ( 145.27/20.09 X920 ) ) ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ?[ 145.27/20.09 X922:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X916 @ 145.27/20.09 X922 ) & 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X922 @ 145.27/20.09 X914 ) ) ) => 145.27/20.09 ( 145.27/20.09 ?[ 145.27/20.09 X924:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 dsetconstr 145.27/20.09 @ 145.27/20.09 X914 @ 145.27/20.09 ( 145.27/20.09 ^[ 145.27/20.09 V_21:$i]: 145.27/20.09 ( 145.27/20.09 X916 @ 145.27/20.09 V_21 ) ) ) = 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X924 @ 145.27/20.09 emptyset ) ) & 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X924 @ 145.27/20.09 ( 145.27/20.09 dsetconstr 145.27/20.09 @ 145.27/20.09 X914 @ 145.27/20.09 ( 145.27/20.09 ^[ 145.27/20.09 V_22:$i]: 145.27/20.09 ( 145.27/20.09 X916 @ 145.27/20.09 V_22 ) ) ) ) ) ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X926:$i, 145.27/20.09 X928:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X926 @ 145.27/20.09 emptyset ) = 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X928 @ 145.27/20.09 emptyset ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X926 ) = 145.27/20.09 ( 145.27/20.09 X928 ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X930:$i, 145.27/20.09 X932:$i, 145.27/20.09 X934:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X934 @ 145.27/20.09 emptyset ) @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X930 @ 145.27/20.09 emptyset ) @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X930 @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X932 @ 145.27/20.09 emptyset ) ) @ 145.27/20.09 emptyset ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 X930 ) = 145.27/20.09 ( 145.27/20.09 X934 ) ) ) ) => 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ![ 145.27/20.09 X936:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 iskpair @ 145.27/20.09 X936 ) => 145.27/20.09 ( 145.27/20.09 ?[ 145.27/20.09 X938:$i]: 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 ( 145.27/20.09 dsetconstr 145.27/20.09 @ 145.27/20.09 ( 145.27/20.09 setunion 145.27/20.09 @ 145.27/20.09 X936 ) @ 145.27/20.09 ( 145.27/20.09 ^[ 145.27/20.09 V_23:$i]: 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 V_23 @ 145.27/20.09 emptyset ) @ 145.27/20.09 X936 ) ) ) = 145.27/20.09 ( 145.27/20.09 setadjoin 145.27/20.09 @ 145.27/20.09 X938 @ 145.27/20.09 emptyset ) ) & 145.27/20.09 ( 145.27/20.09 in @ 145.27/20.09 X938 @ 145.27/20.09 ( 145.27/20.10 dsetconstr 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setunion 145.27/20.10 @ 145.27/20.10 X936 ) @ 145.27/20.10 ( 145.27/20.10 ^[ 145.27/20.10 V_24:$i]: 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 V_24 @ 145.27/20.10 emptyset ) @ 145.27/20.10 X936 ) ) ) ) ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X940:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ?[ 145.27/20.10 X942:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 X940 ) = 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X942 @ 145.27/20.10 emptyset ) ) & 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X942 @ 145.27/20.10 X940 ) ) ) => 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 ( 145.27/20.10 setunion 145.27/20.10 @ 145.27/20.10 X940 ) @ 145.27/20.10 X940 ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X944:$i, 145.27/20.10 X946:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 kfst @ 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X944 @ 145.27/20.10 X946 ) ) = 145.27/20.10 ( 145.27/20.10 X944 ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X948:$i, 145.27/20.10 X950:$i, 145.27/20.10 X952:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X952 @ 145.27/20.10 ( 145.27/20.10 cartprod 145.27/20.10 @ 145.27/20.10 X948 @ 145.27/20.10 X950 ) ) => 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 ( 145.27/20.10 kfst @ 145.27/20.10 X952 ) @ 145.27/20.10 X948 ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X954:$i, 145.27/20.10 X956:$i, 145.27/20.10 X958:$i, 145.27/20.10 X960:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X954 @ 145.27/20.10 emptyset ) @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X954 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X956 @ 145.27/20.10 emptyset ) ) @ 145.27/20.10 emptyset ) ) = 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X958 @ 145.27/20.10 emptyset ) @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X958 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X960 @ 145.27/20.10 emptyset ) ) @ 145.27/20.10 emptyset ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 X954 ) = 145.27/20.10 ( 145.27/20.10 X958 ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X962:$i, 145.27/20.10 X964:$i, 145.27/20.10 X966:$i, 145.27/20.10 X968:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X962 @ 145.27/20.10 X964 ) = 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X966 @ 145.27/20.10 X968 ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 X962 ) = 145.27/20.10 ( 145.27/20.10 X966 ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X970:$i, 145.27/20.10 X972:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 X970 ) = 145.27/20.10 ( 145.27/20.10 X972 ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X970 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X972 @ 145.27/20.10 emptyset ) ) = 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X970 @ 145.27/20.10 emptyset ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X974:$i, 145.27/20.10 X976:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 X974 ) = 145.27/20.10 ( 145.27/20.10 X976 ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X974 @ 145.27/20.10 emptyset ) @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X974 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X976 @ 145.27/20.10 emptyset ) ) @ 145.27/20.10 emptyset ) ) = 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X974 @ 145.27/20.10 emptyset ) @ 145.27/20.10 emptyset ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X978:$i, 145.27/20.10 X980:$i, 145.27/20.10 X982:$i, 145.27/20.10 X984:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X978 @ 145.27/20.10 emptyset ) @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X978 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X980 @ 145.27/20.10 emptyset ) ) @ 145.27/20.10 emptyset ) ) = 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X982 @ 145.27/20.10 emptyset ) @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X982 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X984 @ 145.27/20.10 emptyset ) ) @ 145.27/20.10 emptyset ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 X982 ) = 145.27/20.10 ( 145.27/20.10 X984 ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 X980 ) = 145.27/20.10 ( 145.27/20.10 X984 ) ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X986:$i, 145.27/20.10 X988:$i, 145.27/20.10 X990:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X986 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X988 @ 145.27/20.10 emptyset ) ) = 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X990 @ 145.27/20.10 emptyset ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 X986 ) = 145.27/20.10 ( 145.27/20.10 X988 ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X992:$i, 145.27/20.10 X994:$i, 145.27/20.10 X996:$i, 145.27/20.10 X998:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X992 @ 145.27/20.10 emptyset ) @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X992 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X994 @ 145.27/20.10 emptyset ) ) @ 145.27/20.10 emptyset ) ) = 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X996 @ 145.27/20.10 emptyset ) @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X996 @ 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X998 @ 145.27/20.10 emptyset ) ) @ 145.27/20.10 emptyset ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 X994 ) = 145.27/20.10 ( 145.27/20.10 X998 ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1000:$i, 145.27/20.10 X1002:$i, 145.27/20.10 X1004:$i, 145.27/20.10 X1006:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X1000 @ 145.27/20.10 X1002 ) = 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X1004 @ 145.27/20.10 X1006 ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 X1002 ) = 145.27/20.10 ( 145.27/20.10 X1006 ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1008:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 iskpair @ 145.27/20.10 X1008 ) => 145.27/20.10 ( 145.27/20.10 ?[ 145.27/20.10 X1010:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 dsetconstr 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setunion 145.27/20.10 @ 145.27/20.10 X1008 ) @ 145.27/20.10 ( 145.27/20.10 ^[ 145.27/20.10 V_25:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 X1008 ) = 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 ( 145.27/20.10 kfst @ 145.27/20.10 X1008 ) @ 145.27/20.10 V_25 ) ) ) ) = 145.27/20.10 ( 145.27/20.10 setadjoin 145.27/20.10 @ 145.27/20.10 X1010 @ 145.27/20.10 emptyset ) ) & 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1010 @ 145.27/20.10 ( 145.27/20.10 dsetconstr 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 setunion 145.27/20.10 @ 145.27/20.10 X1008 ) @ 145.27/20.10 ( 145.27/20.10 ^[ 145.27/20.10 V_26:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 X1008 ) = 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 ( 145.27/20.10 kfst @ 145.27/20.10 X1008 ) @ 145.27/20.10 V_26 ) ) ) ) ) ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1012:$i, 145.27/20.10 X1014:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ksnd @ 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X1012 @ 145.27/20.10 X1014 ) ) = 145.27/20.10 ( 145.27/20.10 X1014 ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1016:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 iskpair @ 145.27/20.10 X1016 ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 ( 145.27/20.10 kfst @ 145.27/20.10 X1016 ) @ 145.27/20.10 ( 145.27/20.10 ksnd @ 145.27/20.10 X1016 ) ) = 145.27/20.10 ( 145.27/20.10 X1016 ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1018:$i, 145.27/20.10 X1020:$i, 145.27/20.10 X1022:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1022 @ 145.27/20.10 ( 145.27/20.10 cartprod 145.27/20.10 @ 145.27/20.10 X1018 @ 145.27/20.10 X1020 ) ) => 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 ( 145.27/20.10 ksnd @ 145.27/20.10 X1022 ) @ 145.27/20.10 X1020 ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1024:$i, 145.27/20.10 X1026:$i, 145.27/20.10 X1028:$i, 145.27/20.10 X1030:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X1028 @ 145.27/20.10 X1030 ) @ 145.27/20.10 ( 145.27/20.10 cartprod 145.27/20.10 @ 145.27/20.10 X1024 @ 145.27/20.10 X1026 ) ) => 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1028 @ 145.27/20.10 X1024 ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1032:$i, 145.27/20.10 X1034:$i, 145.27/20.10 X1036:$i, 145.27/20.10 X1038:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X1036 @ 145.27/20.10 X1038 ) @ 145.27/20.10 ( 145.27/20.10 cartprod 145.27/20.10 @ 145.27/20.10 X1032 @ 145.27/20.10 X1034 ) ) => 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1038 @ 145.27/20.10 X1034 ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1040:$i, 145.27/20.10 X1042:$i, 145.27/20.10 X1044:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1044 @ 145.27/20.10 X1040 ) => 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1046:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1046 @ 145.27/20.10 X1042 ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X1044 @ 145.27/20.10 X1046 ) = 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X1044 @ 145.27/20.10 X1046 ) ) ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1048:$i, 145.27/20.10 X1050:$i, 145.27/20.10 X1052:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1052 @ 145.27/20.10 X1048 ) => 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1054:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1054 @ 145.27/20.10 X1050 ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 kfst @ 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X1052 @ 145.27/20.10 X1054 ) ) = 145.27/20.10 ( 145.27/20.10 X1052 ) ) ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1056:$i, 145.27/20.10 X1058:$i, 145.27/20.10 X1060:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1060 @ 145.27/20.10 X1056 ) => 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1062:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1062 @ 145.27/20.10 X1058 ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ksnd @ 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X1060 @ 145.27/20.10 X1062 ) ) = 145.27/20.10 ( 145.27/20.10 X1062 ) ) ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1064:$i, 145.27/20.10 X1066:$i, 145.27/20.10 X1068:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1068 @ 145.27/20.10 ( 145.27/20.10 cartprod 145.27/20.10 @ 145.27/20.10 X1064 @ 145.27/20.10 X1066 ) ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 ( 145.27/20.10 kfst @ 145.27/20.10 X1068 ) @ 145.27/20.10 ( 145.27/20.10 ksnd @ 145.27/20.10 X1068 ) ) = 145.27/20.10 ( 145.27/20.10 X1068 ) ) ) ) => 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1070:$i, 145.27/20.10 X1072:$i, 145.27/20.10 X1074:( 145.27/20.10 $i > $i > 145.27/20.10 $o ), 145.27/20.10 X1076:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1076 @ 145.27/20.10 X1070 ) => 145.27/20.10 ( 145.27/20.10 ![ 145.27/20.10 X1078:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1078 @ 145.27/20.10 X1072 ) => 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 X1074 @ 145.27/20.10 X1076 @ 145.27/20.10 X1078 ) => 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X1076 @ 145.27/20.10 X1078 ) @ 145.27/20.10 ( 145.27/20.10 dsetconstr 145.27/20.10 @ 145.27/20.10 ( 145.27/20.10 cartprod 145.27/20.10 @ 145.27/20.10 X1070 @ 145.27/20.10 X1072 ) @ 145.27/20.10 ( 145.27/20.10 ^[ 145.27/20.10 V_27:$i]: 145.27/20.10 ( 145.27/20.10 ?[ 145.27/20.10 X1080:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1080 @ 145.27/20.10 X1070 ) & 145.27/20.10 ( 145.27/20.10 ?[ 145.27/20.10 X1082:$i]: 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 in @ 145.27/20.10 X1082 @ 145.27/20.10 X1072 ) & 145.27/20.10 ( 145.27/20.10 X1074 @ 145.27/20.10 X1080 @ 145.27/20.10 X1082 ) & 145.27/20.10 ( 145.27/20.10 ( 145.27/20.10 V_27 ) = 145.27/20.10 ( 145.27/20.10 kpair @ 145.27/20.10 X1080 @ 145.27/20.10 X1082 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 145.27/20.10 inference('cnf.neg', [status(esa)], [zf_stmt_13])). 145.27/20.10 thf(zip_derived_cl136, plain, 145.27/20.10 (![X202 : $i, X203 : $i, X204 : $i, X205 : $i]: 145.27/20.10 (~ (in @ X202 @ X203) 145.27/20.10 | (in @ (kpair @ X204 @ X202) @ (cartprod @ X205 @ X203)) 145.27/20.10 | ~ (in @ X204 @ X205))), 145.27/20.10 inference('cnf', [status(esa)], [zf_stmt_14])). 145.27/20.10 thf(zip_derived_cl167, plain, ( (in @ sk__543 @ sk__540)), 145.27/20.10 inference('cnf', [status(esa)], [zf_stmt_14])). 145.27/20.10 thf(zip_derived_cl164, plain, ( (in @ sk__544 @ sk__541)), 145.27/20.10 inference('cnf', [status(esa)], [zf_stmt_14])). 145.27/20.10 thf(zip_derived_cl166, plain, ( (sk__542 @ sk__543 @ sk__544)), 145.27/20.10 inference('cnf', [status(esa)], [zf_stmt_14])). 145.27/20.10 thf(zip_derived_cl165, plain, 145.27/20.10 (~ (in @ (kpair @ sk__543 @ sk__544) @ 145.27/20.10 (dsetconstr @ (cartprod @ sk__540 @ sk__541) @ 145.27/20.10 (^[Y0 : $i]: 145.27/20.10 (((??) @ (^[Y1 : $i]: 145.27/20.10 (((in @ Y1 @ sk__540) & 145.27/20.10 (((??) @ (^[Y2 : $i]: 145.27/20.10 (((in @ Y2 @ sk__541) & 145.27/20.10 (sk__542 @ Y1 @ Y2) & 145.27/20.10 (((Y0) = (kpair @ Y1 @ Y2))))))))))))))))), 145.27/20.10 inference('cnf', [status(esa)], [zf_stmt_14])). 145.27/20.10 thf(zip_derived_cl165, plain, 145.27/20.10 (~ (in @ (kpair @ sk__543 @ sk__544) @ 145.27/20.10 (dsetconstr @ (cartprod @ sk__540 @ sk__541) @ 145.27/20.10 (^[Y0 : $i]: 145.27/20.10 (((??) @ (^[Y1 : $i]: 145.27/20.10 (((in @ Y1 @ sk__540) & 145.27/20.10 (((??) @ (^[Y2 : $i]: 145.27/20.10 (((in @ Y2 @ sk__541) & 145.27/20.10 (sk__542 @ Y1 @ Y2) & 145.27/20.10 (((Y0) = (kpair @ Y1 @ Y2))))))))))))))))), 145.27/20.10 inference('cnf', [status(esa)], [zf_stmt_14])). 145.27/20.10 thf(zip_derived_cl5890, plain, 145.27/20.10 (![X1 : $i]: 145.27/20.10 (('#l_lift7352' @ X1) 145.27/20.10 = (((??) @ (^[Y0 : $i]: 145.27/20.10 (((in @ Y0 @ sk__540) & 145.27/20.10 (((??) @ (^[Y1 : $i]: 145.27/20.10 (((in @ Y1 @ sk__541) & 145.27/20.10 (sk__542 @ Y0 @ Y1) & 145.27/20.10 (((X1) = (kpair @ Y0 @ Y1))))))))))))))), 145.27/20.10 define([status(thm)])). 145.27/20.10 thf(zip_derived_cl5891, plain, 145.27/20.10 (~ (in @ (kpair @ sk__543 @ sk__544) @ 145.27/20.10 (dsetconstr @ (cartprod @ sk__540 @ sk__541) @ '#l_lift7352'))), 145.27/20.10 inference('lambda_lifting', [status(thm)], 145.27/20.10 [zip_derived_cl165, zip_derived_cl5890])). 145.27/20.10 thf(zip_derived_cl5868, plain, 145.27/20.10 (![X43 : $i > $o, X44 : $i, X45 : $i]: 145.27/20.10 (~ (X43 @ X44) 145.27/20.10 | (in @ X44 @ (dsetconstr @ X45 @ X43)) 145.27/20.10 | ~ (in @ X44 @ X45))), 145.27/20.10 inference('cnf', [status(esa)], [zf_stmt_14])). 145.27/20.10 thf(zip_derived_cl5890, plain, 145.27/20.10 (![X1 : $i]: 145.27/20.10 (('#l_lift7352' @ X1) 145.27/20.10 = (((??) @ (^[Y0 : $i]: 145.27/20.10 (((in @ Y0 @ sk__540) & 145.27/20.10 (((??) @ (^[Y1 : $i]: 145.27/20.10 (((in @ Y1 @ sk__541) & 145.27/20.10 (sk__542 @ Y0 @ Y1) & 145.27/20.10 (((X1) = (kpair @ Y0 @ Y1))))))))))))))), 145.27/20.10 define([status(thm)])). 145.27/20.10 thf(zip_derived_cl5943, plain, ($false), 145.27/20.10 inference('eprover', [status(thm)], 145.27/20.10 [zip_derived_cl136, zip_derived_cl167, zip_derived_cl164, 145.27/20.10 zip_derived_cl166, zip_derived_cl5891, zip_derived_cl5868, 145.27/20.10 zip_derived_cl5890])). 145.27/20.10 145.27/20.10 % SZS output end Refutation 145.27/20.10 145.27/20.10 145.27/20.10 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 145.27/20.10 % Terminating... 145.74/20.18 % Runner terminated. 145.74/20.21 % Zipperpin 1.5 exiting 145.74/20.23 EOF