0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.q1aPWhbKbr true 0.16/0.37 % Computer : n027.cluster.edu 0.16/0.37 % Model : x86_64 x86_64 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.37 % Memory : 8042.1875MB 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.37 % CPULimit : 1200 0.16/0.37 % WCLimit : 120 0.16/0.37 % DateTime : Tue Jul 13 12:25:40 EDT 2021 0.16/0.37 % CPUTime : 0.16/0.37 % Running portfolio for 120 s 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.37 % Number of cores: 8 0.16/0.37 % Python version: Python 3.6.8 0.16/0.38 % Running in HO mode 0.55/0.67 % Total configuration time : 828 0.55/0.67 % Estimated wc time : 983 0.55/0.67 % Estimated cpu time (8 cpus) : 122.875 0.60/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.60/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.60/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.60/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.60/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.60/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.60/0.86 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 0.61/1.07 % Solved by lams/40_c.s.sh. 0.61/1.07 % done 36 iterations in 0.204s 0.61/1.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.61/1.07 % SZS output start Refutation 0.61/1.07 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 0.61/1.07 thf(binintersectER_type, type, binintersectER: $o). 0.61/1.07 thf(setadjoinSub_type, type, setadjoinSub: $o). 0.61/1.07 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 0.61/1.07 thf(setunion_type, type, setunion: $i > $i). 0.61/1.07 thf(vacuousDall_type, type, vacuousDall: $o). 0.61/1.07 thf(setadjoinIR_type, type, setadjoinIR: $o). 0.61/1.07 thf(omega0Ax_type, type, omega0Ax: $o). 0.61/1.07 thf(subsetE_type, type, subsetE: $o). 0.61/1.07 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 0.61/1.07 thf(binunionE_type, type, binunionE: $o). 0.61/1.07 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 0.61/1.07 thf(powersetE_type, type, powersetE: $o). 0.61/1.07 thf(binunionRsub_type, type, binunionRsub: $o). 0.61/1.07 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 0.61/1.07 thf(powerset__Cong_type, type, powerset__Cong: $o). 0.61/1.07 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o). 0.61/1.07 thf(nonempty_type, type, nonempty: $i > $o). 0.61/1.07 thf(omegaIndAx_type, type, omegaIndAx: $o). 0.61/1.07 thf(uniqinunit_type, type, uniqinunit: $o). 0.61/1.07 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 0.61/1.07 thf(exu__Cong_type, type, exu__Cong: $o). 0.61/1.07 thf(subset2powerset_type, type, subset2powerset: $o). 0.61/1.07 thf(setoftrueEq_type, type, setoftrueEq: $o). 0.61/1.07 thf(upairsetIL_type, type, upairsetIL: $o). 0.61/1.07 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 0.61/1.07 thf(emptyI_type, type, emptyI: $o). 0.61/1.07 thf(exuI3_type, type, exuI3: $o). 0.61/1.07 thf(emptysetAx_type, type, emptysetAx: $o). 0.61/1.07 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 0.61/1.07 thf(setadjoinIL_type, type, setadjoinIL: $o). 0.61/1.07 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 0.61/1.07 thf(upairsetIR_type, type, upairsetIR: $o). 0.61/1.07 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 0.61/1.07 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o). 0.61/1.07 thf(descrp_type, type, descrp: $o). 0.61/1.07 thf(binintersectI_type, type, binintersectI: $o). 0.61/1.07 thf(nonemptyI1_type, type, nonemptyI1: $o). 0.61/1.07 thf(set2prop_type, type, set2prop: $i > $o). 0.61/1.07 thf(sk__347_type, type, sk__347: $i). 0.61/1.07 thf(sk__345_type, type, sk__345: $i). 0.61/1.07 thf(emptysetsubset_type, type, emptysetsubset: $o). 0.61/1.07 thf(setunionAx_type, type, setunionAx: $o). 0.61/1.07 thf(notsubsetI_type, type, notsubsetI: $o). 0.61/1.07 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 0.61/1.07 thf(upairset2IR_type, type, upairset2IR: $o). 0.61/1.07 thf(binunionLsub_type, type, binunionLsub: $o). 0.61/1.07 thf(subsetRefl_type, type, subsetRefl: $o). 0.61/1.07 thf(powerset_type, type, powerset: $i > $i). 0.61/1.07 thf(nonemptyI_type, type, nonemptyI: $o). 0.61/1.07 thf(emptysetE_type, type, emptysetE: $o). 0.61/1.07 thf(sepInPowerset_type, type, sepInPowerset: $o). 0.61/1.07 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o). 0.61/1.07 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 0.61/1.07 thf(powersetI_type, type, powersetI: $o). 0.61/1.07 thf(exuE2_type, type, exuE2: $o). 0.61/1.07 thf(exu_type, type, exu: ($i > $o) > $o). 0.61/1.07 thf(exuE3e_type, type, exuE3e: $o). 0.61/1.07 thf(notequalI2_type, type, notequalI2: $o). 0.61/1.07 thf(descr__Cong_type, type, descr__Cong: $o). 0.61/1.07 thf(setextAx_type, type, setextAx: $o). 0.61/1.07 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 0.61/1.07 thf(eqinunit_type, type, eqinunit: $o). 0.61/1.07 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 0.61/1.07 thf(powersetAx_type, type, powersetAx: $o). 0.61/1.07 thf(subsetI2_type, type, subsetI2: $o). 0.61/1.07 thf(setminus_type, type, setminus: $i > $i > $i). 0.61/1.07 thf(binunion_type, type, binunion: $i > $i > $i). 0.61/1.07 thf(subsetI1_type, type, subsetI1: $o). 0.61/1.07 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 0.61/1.07 thf(replAx_type, type, replAx: $o). 0.61/1.07 thf(subPowSU_type, type, subPowSU: $o). 0.61/1.07 thf(setunionE_type, type, setunionE: $o). 0.61/1.07 thf(setunion__Cong_type, type, setunion__Cong: $o). 0.61/1.07 thf(bs114d_type, type, bs114d: $o). 0.61/1.07 thf(powersetE1_type, type, powersetE1: $o). 0.61/1.07 thf(omegaSAx_type, type, omegaSAx: $o). 0.61/1.07 thf(setext_type, type, setext: $o). 0.61/1.07 thf(notequalI1_type, type, notequalI1: $o). 0.61/1.07 thf(setextsub_type, type, setextsub: $o). 0.61/1.07 thf(omega__Cong_type, type, omega__Cong: $o). 0.61/1.07 thf(omega_type, type, omega: $i). 0.61/1.07 thf(setbeta_type, type, setbeta: $o). 0.61/1.07 thf(dsetconstrER_type, type, dsetconstrER: $o). 0.61/1.07 thf(nonemptyE1_type, type, nonemptyE1: $o). 0.61/1.07 thf(binunionIL_type, type, binunionIL: $o). 0.61/1.07 thf(prop2setE_type, type, prop2setE: $o). 0.61/1.07 thf(prop2set2propI_type, type, prop2set2propI: $o). 0.61/1.07 thf(notdallE_type, type, notdallE: $o). 0.61/1.07 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 0.61/1.07 thf(exuEu_type, type, exuEu: $o). 0.61/1.07 thf(notinsingleton_type, type, notinsingleton: $o). 0.61/1.07 thf(upairsetE_type, type, upairsetE: $o). 0.61/1.07 thf(emptyE1_type, type, emptyE1: $o). 0.61/1.07 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 0.61/1.07 thf(binunionEcases_type, type, binunionEcases: $o). 0.61/1.07 thf(sk__346_type, type, sk__346: $i). 0.61/1.07 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 0.61/1.07 thf(wellorderingAx_type, type, wellorderingAx: $o). 0.61/1.07 thf(descr_type, type, descr: ($i > $o) > $i). 0.61/1.07 thf(binintersectLsub_type, type, binintersectLsub: $o). 0.61/1.07 thf(binintersectRsub_type, type, binintersectRsub: $o). 0.61/1.07 thf(powersetsubset_type, type, powersetsubset: $o). 0.61/1.07 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > ($i > $o) > $o). 0.61/1.07 thf(emptyset_type, type, emptyset: $i). 0.61/1.07 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 0.61/1.07 thf(exuE1_type, type, exuE1: $o). 0.61/1.07 thf(inPowerset_type, type, inPowerset: $o). 0.61/1.07 thf(in_type, type, in: $i > $i > $o). 0.61/1.07 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > ($i > $o) > $o). 0.61/1.07 thf(setunionI_type, type, setunionI: $o). 0.61/1.07 thf(in__Cong_type, type, in__Cong: $o). 0.61/1.07 thf(binintersect_type, type, binintersect: $i > $i > $i). 0.61/1.07 thf(setadjoinE_type, type, setadjoinE: $o). 0.61/1.07 thf(subsetTrans_type, type, subsetTrans: $o). 0.61/1.07 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 0.61/1.07 thf(foundationAx_type, type, foundationAx: $o). 0.61/1.07 thf(sepSubset_type, type, sepSubset: $o). 0.61/1.07 thf(exuE3u_type, type, exuE3u: $o). 0.61/1.07 thf(setadjoinOr_type, type, setadjoinOr: $o). 0.61/1.07 thf(exuI1_type, type, exuI1: $o). 0.61/1.07 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 0.61/1.07 thf(binunionIR_type, type, binunionIR: $o). 0.61/1.07 thf(inCongP_type, type, inCongP: $o). 0.61/1.07 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 0.61/1.07 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 0.61/1.07 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 0.61/1.07 thf(prop2set_type, type, prop2set: $o > $i). 0.61/1.07 thf(exuI2_type, type, exuI2: $o). 0.61/1.07 thf(powersetI1_type, type, powersetI1: $o). 0.61/1.07 thf(setminusI_type, type, setminusI: $o). 0.61/1.07 thf(dsetconstrI_type, type, dsetconstrI: $o). 0.61/1.07 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > ($i > $i > $o) > $o). 0.61/1.07 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 0.61/1.07 thf(subsetE2_type, type, subsetE2: $o). 0.61/1.07 thf(singletonsswitch_type, type, singletonsswitch: $o). 0.61/1.07 thf(binintersectEL_type, type, binintersectEL: $o). 0.61/1.07 thf(setadjoinAx_type, type, setadjoinAx: $o). 0.61/1.07 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 0.61/1.07 thf(notinemptyset_type, type, notinemptyset: $o). 0.61/1.07 thf(prop2setI_type, type, prop2setI: $o). 0.61/1.07 thf(subset_type, type, subset: $i > $i > $o). 0.61/1.07 thf(notdexE_type, type, notdexE: $o). 0.61/1.07 thf(setminusI, axiom, setminusI = 0.61/1.07 (![A:$i,B:$i,Xx:$i]: 0.61/1.07 ( ( in @ Xx @ A ) => 0.61/1.07 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 0.61/1.07 thf('0', plain, 0.61/1.07 (( setminusI ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ X4 ) => 0.61/1.07 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setminus, axiom,(( setminus ) = 0.61/1.07 (^[A:$i,B:$i]: ( dsetconstr @ A @ ( ^[Xx:$i]: ( ~( in @ Xx @ B ) ) ) )))). 0.61/1.07 thf('1', plain, 0.61/1.07 (( setminus ) = 0.61/1.07 ( ^[A:$i,B:$i]: ( dsetconstr @ A @ ( ^[Xx:$i]: ( ~( in @ Xx @ B ) ) ) ) )), 0.61/1.07 inference('simplify_rw_rule', [status(thm)], [setminus])). 0.61/1.07 thf('2', plain, 0.61/1.07 (( setminus ) = 0.61/1.07 ( ^[V_1:$i,V_2:$i]: 0.61/1.07 ( dsetconstr @ V_1 @ ( ^[V_3:$i]: ( ~( in @ V_3 @ V_2 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(bs114d, axiom, bs114d = 0.61/1.07 (![A:$i,B:$i,C:$i]: 0.61/1.07 ( ( binintersect @ A @ ( binunion @ B @ C ) ) = 0.61/1.07 ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ))). 0.61/1.07 thf('3', plain, 0.61/1.07 (( bs114d ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( binintersect @ X4 @ ( binunion @ X6 @ X8 ) ) = 0.61/1.07 ( binunion @ ( binintersect @ X4 @ X6 ) @ ( binintersect @ X4 @ X8 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binintersectSubset1, axiom, binintersectSubset1 = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( ( binintersect @ A @ B ) = ( A ) ) => ( subset @ A @ B ) ))). 0.61/1.07 thf('4', plain, 0.61/1.07 (( binintersectSubset1 ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) => ( subset @ X4 @ X6 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binintersectSubset4, axiom, binintersectSubset4 = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( subset @ B @ A ) => ( ( binintersect @ A @ B ) = ( B ) ) ))). 0.61/1.07 thf('5', plain, 0.61/1.07 (( binintersectSubset4 ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( subset @ X6 @ X4 ) => ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binintersectRsub, axiom, binintersectRsub = 0.61/1.07 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ B ))). 0.61/1.07 thf('6', plain, 0.61/1.07 (( binintersectRsub ) = 0.61/1.07 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X6 ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(disjointsetsI1, axiom, disjointsetsI1 = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ B ) & ( in @ Xx @ A ) ) ) ) => 0.61/1.07 ( ( binintersect @ A @ B ) = ( emptyset ) ) ))). 0.61/1.07 thf('7', plain, 0.61/1.07 (( disjointsetsI1 ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ~( ?[X8:$i]: ( ( in @ X8 @ X6 ) & ( in @ X8 @ X4 ) ) ) ) => 0.61/1.07 ( ( binintersect @ X4 @ X6 ) = ( emptyset ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binintersectER, axiom, binintersectER = 0.61/1.07 (![A:$i,B:$i,Xx:$i]: 0.61/1.07 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ B ) ))). 0.61/1.07 thf('8', plain, 0.61/1.07 (( binintersectER ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X6 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binintersectSubset3, axiom, binintersectSubset3 = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( ( binintersect @ A @ B ) = ( B ) ) => ( subset @ B @ A ) ))). 0.61/1.07 thf('9', plain, 0.61/1.07 (( binintersectSubset3 ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binintersectSubset2, axiom, binintersectSubset2 = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( subset @ A @ B ) => ( ( binintersect @ A @ B ) = ( A ) ) ))). 0.61/1.07 thf('10', plain, 0.61/1.07 (( binintersectSubset2 ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( subset @ X4 @ X6 ) => ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binintersectLsub, axiom, binintersectLsub = 0.61/1.07 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ A ))). 0.61/1.07 thf('11', plain, 0.61/1.07 (( binintersectLsub ) = 0.61/1.07 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binintersectEL, axiom, binintersectEL = 0.61/1.07 (![A:$i,B:$i,Xx:$i]: 0.61/1.07 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ A ) ))). 0.61/1.07 thf('12', plain, 0.61/1.07 (( binintersectEL ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binintersectSubset5, axiom, binintersectSubset5 = 0.61/1.07 (![A:$i,B:$i,C:$i]: 0.61/1.07 ( ( subset @ C @ A ) => 0.61/1.07 ( ( subset @ C @ B ) => ( subset @ C @ ( binintersect @ A @ B ) ) ) ))). 0.61/1.07 thf('13', plain, 0.61/1.07 (( binintersectSubset5 ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( subset @ X8 @ X4 ) => 0.61/1.07 ( ( subset @ X8 @ X6 ) => 0.61/1.07 ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binintersectI, axiom, binintersectI = 0.61/1.07 (![A:$i,B:$i,Xx:$i]: 0.61/1.07 ( ( in @ Xx @ A ) => 0.61/1.07 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))). 0.61/1.07 thf('14', plain, 0.61/1.07 (( binintersectI ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ X4 ) => 0.61/1.07 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binunionRsub, axiom, binunionRsub = 0.61/1.07 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 0.61/1.07 thf('15', plain, 0.61/1.07 (( binunionRsub ) = 0.61/1.07 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binunionLsub, axiom, binunionLsub = 0.61/1.07 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 0.61/1.07 thf('16', plain, 0.61/1.07 (( binunionLsub ) = 0.61/1.07 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binunionE, axiom, binunionE = 0.61/1.07 (![A:$i,B:$i,Xx:$i]: 0.61/1.07 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 0.61/1.07 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 0.61/1.07 thf('17', plain, 0.61/1.07 (( binunionE ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 0.61/1.07 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binunionEcases, axiom, binunionEcases = 0.61/1.07 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 0.61/1.07 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 0.61/1.07 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 0.61/1.07 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 0.61/1.07 thf('18', plain, 0.61/1.07 (( binunionEcases ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 0.61/1.07 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 0.61/1.07 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 0.61/1.07 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binunionIR, axiom, binunionIR = 0.61/1.07 (![A:$i,B:$i,Xx:$i]: 0.61/1.07 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 0.61/1.07 thf('19', plain, 0.61/1.07 (( binunionIR ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(upairset2IR, axiom, upairset2IR = 0.61/1.07 (![Xx:$i,Xy:$i]: 0.61/1.07 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 0.61/1.07 thf('20', plain, 0.61/1.07 (( upairset2IR ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(binunionIL, axiom, binunionIL = 0.61/1.07 (![A:$i,B:$i,Xx:$i]: 0.61/1.07 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 0.61/1.07 thf('21', plain, 0.61/1.07 (( binunionIL ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(sepSubset, axiom, sepSubset = 0.61/1.07 (![A:$i,Xphi:( $i > $o )]: 0.61/1.07 ( subset @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ A ))). 0.61/1.07 thf('22', plain, 0.61/1.07 (( sepSubset ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o )]: 0.61/1.07 ( subset @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ X4 ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(sepInPowerset, axiom, sepInPowerset = 0.61/1.07 (![A:$i,Xphi:( $i > $o )]: 0.61/1.07 ( in @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ ( powerset @ A ) ))). 0.61/1.07 thf('23', plain, 0.61/1.07 (( sepInPowerset ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o )]: 0.61/1.07 ( in @ 0.61/1.07 ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ 0.61/1.07 ( powerset @ X4 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(powersetsubset, axiom, powersetsubset = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 0.61/1.07 thf('24', plain, 0.61/1.07 (( powersetsubset ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( subset @ X4 @ X6 ) => 0.61/1.07 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 0.61/1.07 thf('25', plain, 0.61/1.07 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(powersetE1, axiom, powersetE1 = 0.61/1.07 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 0.61/1.07 thf('26', plain, 0.61/1.07 (( powersetE1 ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(powersetI1, axiom, powersetI1 = 0.61/1.07 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 0.61/1.07 thf('27', plain, 0.61/1.07 (( powersetI1 ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 0.61/1.07 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 0.61/1.07 thf('28', plain, 0.61/1.07 (( subsetemptysetimpeq ) = 0.61/1.07 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setextsub, axiom, setextsub = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 0.61/1.07 thf('29', plain, 0.61/1.07 (( setextsub ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( subset @ X4 @ X6 ) => 0.61/1.07 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(subset2powerset, axiom, subset2powerset = 0.61/1.07 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 0.61/1.07 thf('30', plain, 0.61/1.07 (( subset2powerset ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setadjoinSub2, axiom, setadjoinSub2 = 0.61/1.07 (![A:$i,Xx:$i,B:$i]: 0.61/1.07 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 0.61/1.07 thf('31', plain, 0.61/1.07 (( setadjoinSub2 ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setadjoinSub, axiom, setadjoinSub = 0.61/1.07 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 0.61/1.07 thf('32', plain, 0.61/1.07 (( setadjoinSub ) = 0.61/1.07 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(subsetTrans, axiom, subsetTrans = 0.61/1.07 (![A:$i,B:$i,C:$i]: 0.61/1.07 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 0.61/1.07 thf('33', plain, 0.61/1.07 (( subsetTrans ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( subset @ X4 @ X6 ) => 0.61/1.07 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 0.61/1.07 thf('34', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(notequalI2, axiom, notequalI2 = 0.61/1.07 (![A:$i,B:$i,Xx:$i]: 0.61/1.07 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))). 0.61/1.07 thf('35', plain, 0.61/1.07 (( notequalI2 ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ X4 ) => 0.61/1.07 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(notequalI1, axiom, notequalI1 = 0.61/1.07 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 0.61/1.07 thf('36', plain, 0.61/1.07 (( notequalI1 ) = 0.61/1.07 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(notsubsetI, axiom, notsubsetI = 0.61/1.07 (![A:$i,B:$i,Xx:$i]: 0.61/1.07 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 0.61/1.07 thf('37', plain, 0.61/1.07 (( notsubsetI ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ X4 ) => 0.61/1.07 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(subsetE2, axiom, subsetE2 = 0.61/1.07 (![A:$i,B:$i,Xx:$i]: 0.61/1.07 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 0.61/1.07 thf('38', plain, 0.61/1.07 (( subsetE2 ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( subset @ X4 @ X6 ) => 0.61/1.07 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(subsetE, axiom, subsetE = 0.61/1.07 (![A:$i,B:$i,Xx:$i]: 0.61/1.07 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 0.61/1.07 thf('39', plain, 0.61/1.07 (( subsetE ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(emptysetsubset, axiom, emptysetsubset = 0.61/1.07 (![A:$i]: ( subset @ emptyset @ A ))). 0.61/1.07 thf('40', plain, 0.61/1.07 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(subsetI2, axiom, subsetI2 = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 0.61/1.07 ( subset @ A @ B ) ))). 0.61/1.07 thf('41', plain, 0.61/1.07 (( subsetI2 ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 0.61/1.07 ( subset @ X4 @ X6 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(eqimpsubset1, axiom, eqimpsubset1 = 0.61/1.07 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 0.61/1.07 thf('42', plain, 0.61/1.07 (( eqimpsubset1 ) = 0.61/1.07 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(eqimpsubset2, axiom, eqimpsubset2 = 0.61/1.07 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 0.61/1.07 thf('43', plain, 0.61/1.07 (( eqimpsubset2 ) = 0.61/1.07 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(subsetI1, axiom, subsetI1 = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 0.61/1.07 ( subset @ A @ B ) ))). 0.61/1.07 thf('44', plain, 0.61/1.07 (( subsetI1 ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 0.61/1.07 ( subset @ X4 @ X6 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(dsetconstr__Cong, axiom, dsetconstr__Cong = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( ( A ) = ( B ) ) => 0.61/1.07 ( ![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 0.61/1.07 ( ( ![Xx:$i]: 0.61/1.07 ( ( in @ Xx @ A ) => 0.61/1.07 ( ![Xy:$i]: 0.61/1.07 ( ( in @ Xy @ B ) => 0.61/1.07 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) ) ) ) => 0.61/1.07 ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 0.61/1.07 ( dsetconstr @ B @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 0.61/1.07 thf('45', plain, 0.61/1.07 (( dsetconstr__Cong ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ( X4 ) = ( X6 ) ) => 0.61/1.07 ( ![X8:( $i > $o ),X10:( $i > $o )]: 0.61/1.07 ( ( ![X12:$i]: 0.61/1.07 ( ( in @ X12 @ X4 ) => 0.61/1.07 ( ![X14:$i]: 0.61/1.07 ( ( in @ X14 @ X6 ) => 0.61/1.07 ( ( ( X12 ) = ( X14 ) ) => 0.61/1.07 ( ( X8 @ X12 ) <=> ( X10 @ X14 ) ) ) ) ) ) ) => 0.61/1.07 ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) = 0.61/1.07 ( dsetconstr @ X6 @ ( ^[V_2:$i]: ( X10 @ V_2 ) ) ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(descr__Cong, axiom, descr__Cong = 0.61/1.07 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 0.61/1.07 ( ( ![Xx:$i,Xy:$i]: 0.61/1.07 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 0.61/1.07 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 0.61/1.07 ( ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) => 0.61/1.07 ( ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 0.61/1.07 ( descr @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 0.61/1.07 thf('46', plain, 0.61/1.07 (( descr__Cong ) = 0.61/1.07 ( ![X4:( $i > $o ),X6:( $i > $o )]: 0.61/1.07 ( ( ![X8:$i,X10:$i]: 0.61/1.07 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 0.61/1.07 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 0.61/1.07 ( ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) => 0.61/1.07 ( ( descr @ ( ^[V_3:$i]: ( X4 @ V_3 ) ) ) = 0.61/1.07 ( descr @ ( ^[V_4:$i]: ( X6 @ V_4 ) ) ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(exuEu, axiom, exuEu = 0.61/1.07 (![Xphi:( $i > $o )]: 0.61/1.07 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 0.61/1.07 ( ![Xx:$i,Xy:$i]: 0.61/1.07 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 0.61/1.07 thf('47', plain, 0.61/1.07 (( exuEu ) = 0.61/1.07 ( ![X4:( $i > $o )]: 0.61/1.07 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 0.61/1.07 ( ![X6:$i,X8:$i]: 0.61/1.07 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(omega__Cong, axiom, omega__Cong = (( omega ) = ( omega ))). 0.61/1.07 thf('48', plain, (( omega__Cong ) = ( ( omega ) = ( omega ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setunion__Cong, axiom, setunion__Cong = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( ( A ) = ( B ) ) => ( ( setunion @ A ) = ( setunion @ B ) ) ))). 0.61/1.07 thf('49', plain, 0.61/1.07 (( setunion__Cong ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ( X4 ) = ( X6 ) ) => ( ( setunion @ X4 ) = ( setunion @ X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(powerset__Cong, axiom, powerset__Cong = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 0.61/1.07 thf('50', plain, 0.61/1.07 (( powerset__Cong ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setadjoin__Cong, axiom, setadjoin__Cong = 0.61/1.07 (![Xx:$i,Xy:$i]: 0.61/1.07 ( ( ( Xx ) = ( Xy ) ) => 0.61/1.07 ( ![Xz:$i,Xu:$i]: 0.61/1.07 ( ( ( Xz ) = ( Xu ) ) => 0.61/1.07 ( ( setadjoin @ Xx @ Xz ) = ( setadjoin @ Xy @ Xu ) ) ) ) ))). 0.61/1.07 thf('51', plain, 0.61/1.07 (( setadjoin__Cong ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ( X4 ) = ( X6 ) ) => 0.61/1.07 ( ![X8:$i,X10:$i]: 0.61/1.07 ( ( ( X8 ) = ( X10 ) ) => 0.61/1.07 ( ( setadjoin @ X4 @ X8 ) = ( setadjoin @ X6 @ X10 ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(emptyset__Cong, axiom, emptyset__Cong = (( emptyset ) = ( emptyset ))). 0.61/1.07 thf('52', plain, (( emptyset__Cong ) = ( ( emptyset ) = ( emptyset ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(exu__Cong, axiom, exu__Cong = 0.61/1.07 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 0.61/1.07 ( ( ![Xx:$i,Xy:$i]: 0.61/1.07 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 0.61/1.07 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) <=> 0.61/1.07 ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ))). 0.61/1.07 thf('53', plain, 0.61/1.07 (( exu__Cong ) = 0.61/1.07 ( ![X4:( $i > $o ),X6:( $i > $o )]: 0.61/1.07 ( ( ![X8:$i,X10:$i]: 0.61/1.07 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 0.61/1.07 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) <=> 0.61/1.07 ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(exuE3u, axiom, exuE3u = 0.61/1.07 (![Xphi:( $i > $o )]: 0.61/1.07 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 0.61/1.07 ( ![Xx:$i,Xy:$i]: 0.61/1.07 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 0.61/1.07 thf('54', plain, 0.61/1.07 (( exuE3u ) = 0.61/1.07 ( ![X4:( $i > $o )]: 0.61/1.07 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 0.61/1.07 ( ![X6:$i,X8:$i]: 0.61/1.07 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(in__Cong, axiom, in__Cong = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( ( A ) = ( B ) ) => 0.61/1.07 ( ![Xx:$i,Xy:$i]: 0.61/1.07 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))). 0.61/1.07 thf('55', plain, 0.61/1.07 (( in__Cong ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ( X4 ) = ( X6 ) ) => 0.61/1.07 ( ![X8:$i,X10:$i]: 0.61/1.07 ( ( ( X8 ) = ( X10 ) ) => 0.61/1.07 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(inCongP, axiom, inCongP = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( ( A ) = ( B ) ) => 0.61/1.07 ( ![Xx:$i,Xy:$i]: 0.61/1.07 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))). 0.61/1.07 thf('56', plain, 0.61/1.07 (( inCongP ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ( X4 ) = ( X6 ) ) => 0.61/1.07 ( ![X8:$i,X10:$i]: 0.61/1.07 ( ( ( X8 ) = ( X10 ) ) => 0.61/1.07 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(exuI2, axiom, exuI2 = 0.61/1.07 (![Xphi:( $i > $o )]: 0.61/1.07 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) => 0.61/1.07 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 0.61/1.07 thf('57', plain, 0.61/1.07 (( exuI2 ) = 0.61/1.07 ( ![X4:( $i > $o )]: 0.61/1.07 ( ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) => 0.61/1.07 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(exuI3, axiom, exuI3 = 0.61/1.07 (![Xphi:( $i > $o )]: 0.61/1.07 ( ( ?[Xx:$i]: ( Xphi @ Xx ) ) => 0.61/1.07 ( ( ![Xx:$i,Xy:$i]: 0.61/1.07 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) => 0.61/1.07 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 0.61/1.07 thf('58', plain, 0.61/1.07 (( exuI3 ) = 0.61/1.07 ( ![X4:( $i > $o )]: 0.61/1.07 ( ( ?[X6:$i]: ( X4 @ X6 ) ) => 0.61/1.07 ( ( ![X8:$i,X10:$i]: 0.61/1.07 ( ( X4 @ X8 ) => ( ( X4 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) => 0.61/1.07 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(exuI1, axiom, exuI1 = 0.61/1.07 (![Xphi:( $i > $o )]: 0.61/1.07 ( ( ?[Xx:$i]: 0.61/1.07 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 0.61/1.07 ( Xphi @ Xx ) ) ) => 0.61/1.07 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 0.61/1.07 thf('59', plain, 0.61/1.07 (( exuI1 ) = 0.61/1.07 ( ![X4:( $i > $o )]: 0.61/1.07 ( ( ?[X6:$i]: 0.61/1.07 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 0.61/1.07 ( X4 @ X6 ) ) ) => 0.61/1.07 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(notdallE, axiom, notdallE = 0.61/1.07 (![A:$i,Xphi:( $i > $o )]: 0.61/1.07 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 0.61/1.07 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 0.61/1.07 thf('60', plain, 0.61/1.07 (( notdallE ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o )]: 0.61/1.07 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 0.61/1.07 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(notdexE, axiom, notdexE = 0.61/1.07 (![A:$i,Xphi:( $i > $o )]: 0.61/1.07 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 0.61/1.07 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 0.61/1.07 thf('61', plain, 0.61/1.07 (( notdexE ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o )]: 0.61/1.07 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 0.61/1.07 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(prop2set2propI, axiom, prop2set2propI = 0.61/1.07 (![Xphi:$o]: ( ( Xphi ) => ( set2prop @ ( prop2set @ Xphi ) ) ))). 0.61/1.07 thf('62', plain, 0.61/1.07 (( prop2set2propI ) = 0.61/1.07 ( ![X4:$o]: ( ( X4 ) => ( set2prop @ ( prop2set @ X4 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(prop2setI, axiom, prop2setI = 0.61/1.07 (![Xphi:$o]: ( ( Xphi ) => ( in @ emptyset @ ( prop2set @ Xphi ) ) ))). 0.61/1.07 thf('63', plain, 0.61/1.07 (( prop2setI ) = 0.61/1.07 ( ![X4:$o]: ( ( X4 ) => ( in @ emptyset @ ( prop2set @ X4 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(quantDeMorgan4, axiom, quantDeMorgan4 = 0.61/1.07 (![A:$i,Xphi:( $i > $o )]: 0.61/1.07 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) => 0.61/1.07 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))). 0.61/1.07 thf('64', plain, 0.61/1.07 (( quantDeMorgan4 ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o )]: 0.61/1.07 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) => 0.61/1.07 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(quantDeMorgan3, axiom, quantDeMorgan3 = 0.61/1.07 (![A:$i,Xphi:( $i > $o )]: 0.61/1.07 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 0.61/1.07 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 0.61/1.07 thf('65', plain, 0.61/1.07 (( quantDeMorgan3 ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o )]: 0.61/1.07 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 0.61/1.07 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(quantDeMorgan2, axiom, quantDeMorgan2 = 0.61/1.07 (![A:$i,Xphi:( $i > $o )]: 0.61/1.07 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) => 0.61/1.07 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))). 0.61/1.07 thf('66', plain, 0.61/1.07 (( quantDeMorgan2 ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o )]: 0.61/1.07 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) => 0.61/1.07 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(quantDeMorgan1, axiom, quantDeMorgan1 = 0.61/1.07 (![A:$i,Xphi:( $i > $o )]: 0.61/1.07 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 0.61/1.07 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 0.61/1.07 thf('67', plain, 0.61/1.07 (( quantDeMorgan1 ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o )]: 0.61/1.07 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 0.61/1.07 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(vacuousDall, axiom, vacuousDall = 0.61/1.07 (![Xphi:( $i > $o ),Xx:$i]: ( ( in @ Xx @ emptyset ) => ( Xphi @ Xx ) ))). 0.61/1.07 thf('68', plain, 0.61/1.07 (( vacuousDall ) = 0.61/1.07 ( ![X4:( $i > $o ),X6:$i]: ( ( in @ X6 @ emptyset ) => ( X4 @ X6 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(emptyE1, axiom, emptyE1 = 0.61/1.07 (![A:$i,Xphi:( $i > $o )]: 0.61/1.07 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 0.61/1.07 ( ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = ( emptyset ) ) => 0.61/1.07 ( $false ) ) ))). 0.61/1.07 thf('69', plain, 0.61/1.07 (( emptyE1 ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o )]: 0.61/1.07 ( ( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) => 0.61/1.07 ( ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) = ( emptyset ) ) => 0.61/1.07 ( $false ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(upairsetIR, axiom, upairsetIR = 0.61/1.07 (![Xx:$i,Xy:$i]: 0.61/1.07 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 0.61/1.07 thf('70', plain, 0.61/1.07 (( upairsetIR ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(upairsetIL, axiom, upairsetIL = 0.61/1.07 (![Xx:$i,Xy:$i]: 0.61/1.07 ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 0.61/1.07 thf('71', plain, 0.61/1.07 (( upairsetIL ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(upairsetE, axiom, upairsetE = 0.61/1.07 (![Xx:$i,Xy:$i,Xz:$i]: 0.61/1.07 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 0.61/1.07 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 0.61/1.07 thf('72', plain, 0.61/1.07 (( upairsetE ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 0.61/1.07 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(singletonsswitch, axiom, singletonsswitch = 0.61/1.07 (![Xx:$i,Xy:$i]: 0.61/1.07 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => 0.61/1.07 ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ))). 0.61/1.07 thf('73', plain, 0.61/1.07 (( singletonsswitch ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => 0.61/1.07 ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(eqinunit, axiom, eqinunit = 0.61/1.07 (![Xx:$i,Xy:$i]: 0.61/1.07 ( ( ( Xx ) = ( Xy ) ) => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 0.61/1.07 thf('74', plain, 0.61/1.07 (( eqinunit ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ( X4 ) = ( X6 ) ) => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(notinsingleton, axiom, notinsingleton = 0.61/1.07 (![Xx:$i,Xy:$i]: 0.61/1.07 ( ( ( Xx ) != ( Xy ) ) => ( ~( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ))). 0.61/1.07 thf('75', plain, 0.61/1.07 (( notinsingleton ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ( X4 ) != ( X6 ) ) => 0.61/1.07 ( ~( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(uniqinunit, axiom, uniqinunit = 0.61/1.07 (![Xx:$i,Xy:$i]: 0.61/1.07 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => ( ( Xx ) = ( Xy ) ) ))). 0.61/1.07 thf('76', plain, 0.61/1.07 (( uniqinunit ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => ( ( X4 ) = ( X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(nonemptyImpWitness, axiom, nonemptyImpWitness = 0.61/1.07 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 0.61/1.07 thf('77', plain, 0.61/1.07 (( nonemptyImpWitness ) = 0.61/1.07 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(exuE2, axiom, exuE2 = 0.61/1.07 (![Xphi:( $i > $o )]: 0.61/1.07 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 0.61/1.07 ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) ))). 0.61/1.07 thf('78', plain, 0.61/1.07 (( exuE2 ) = 0.61/1.07 ( ![X4:( $i > $o )]: 0.61/1.07 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 0.61/1.07 ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(subPowSU, axiom, subPowSU = 0.61/1.07 (![A:$i,Xx:$i]: 0.61/1.07 ( ( in @ Xx @ A ) => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ))). 0.61/1.07 thf('79', plain, 0.61/1.07 (( subPowSU ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( in @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ ( setunion @ X4 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setunionE, axiom, setunionE = 0.61/1.07 (![A:$i,Xx:$i]: 0.61/1.07 ( ( in @ Xx @ ( setunion @ A ) ) => 0.61/1.07 ( ![Xphi:$o]: 0.61/1.07 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) => 0.61/1.07 ( Xphi ) ) ) ))). 0.61/1.07 thf('80', plain, 0.61/1.07 (( setunionE ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( in @ X6 @ ( setunion @ X4 ) ) => 0.61/1.07 ( ![X8:$o]: 0.61/1.07 ( ( ![X10:$i]: 0.61/1.07 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) => 0.61/1.07 ( X8 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setunionI, axiom, setunionI = 0.61/1.07 (![A:$i,Xx:$i,B:$i]: 0.61/1.07 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))). 0.61/1.07 thf('81', plain, 0.61/1.07 (( setunionI ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X6 @ X8 ) => 0.61/1.07 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(powersetE, axiom, powersetE = 0.61/1.07 (![A:$i,B:$i,Xx:$i]: 0.61/1.07 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 0.61/1.07 thf('82', plain, 0.61/1.07 (( powersetE ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.61/1.07 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(emptyInPowerset, axiom, emptyInPowerset = 0.61/1.07 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 0.61/1.07 thf('83', plain, 0.61/1.07 (( emptyInPowerset ) = 0.61/1.07 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(emptyinPowerset, axiom, emptyinPowerset = 0.61/1.07 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 0.61/1.07 thf('84', plain, 0.61/1.07 (( emptyinPowerset ) = 0.61/1.07 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(powersetI, axiom, powersetI = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 0.61/1.07 ( in @ B @ ( powerset @ A ) ) ))). 0.61/1.07 thf('85', plain, 0.61/1.07 (( powersetI ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 0.61/1.07 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setoftrueEq, axiom, setoftrueEq = 0.61/1.07 (![A:$i]: ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( $true ) ) ) = ( A ) ))). 0.61/1.07 thf('86', plain, 0.61/1.07 (( setoftrueEq ) = 0.61/1.07 ( ![X4:$i]: ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( $true ) ) ) = ( X4 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setadjoinOr, axiom, setadjoinOr = 0.61/1.07 (![Xx:$i,A:$i,Xy:$i]: 0.61/1.07 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 0.61/1.07 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 0.61/1.07 thf('87', plain, 0.61/1.07 (( setadjoinOr ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 0.61/1.07 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setadjoinE, axiom, setadjoinE = 0.61/1.07 (![Xx:$i,A:$i,Xy:$i]: 0.61/1.07 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 0.61/1.07 ( ![Xphi:$o]: 0.61/1.07 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) => 0.61/1.07 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))). 0.61/1.07 thf('88', plain, 0.61/1.07 (( setadjoinE ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 0.61/1.07 ( ![X10:$o]: 0.61/1.07 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) => 0.61/1.07 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setadjoinIR, axiom, setadjoinIR = 0.61/1.07 (![Xx:$i,A:$i,Xy:$i]: 0.61/1.07 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))). 0.61/1.07 thf('89', plain, 0.61/1.07 (( setadjoinIR ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(emptyinunitempty, axiom,(( emptyinunitempty ) = 0.61/1.07 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))). 0.61/1.07 thf('90', plain, 0.61/1.07 (( emptyinunitempty ) = 0.61/1.07 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 0.61/1.07 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 0.61/1.07 thf('91', plain, 0.61/1.07 (( emptyinunitempty ) = 0.61/1.07 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setadjoinIL, axiom, setadjoinIL = 0.61/1.07 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))). 0.61/1.07 thf('92', plain, 0.61/1.07 (( setadjoinIL ) = 0.61/1.07 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(nonemptyI1, axiom, nonemptyI1 = 0.61/1.07 (![A:$i]: ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => ( nonempty @ A ) ))). 0.61/1.07 thf('93', plain, 0.61/1.07 (( nonemptyI1 ) = 0.61/1.07 ( ![X4:$i]: ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => ( nonempty @ X4 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(nonemptyI, axiom, nonemptyI = 0.61/1.07 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 0.61/1.07 ( ( in @ Xx @ A ) => 0.61/1.07 ( ( Xphi @ Xx ) => 0.61/1.07 ( nonempty @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 0.61/1.07 thf('94', plain, 0.61/1.07 (( nonemptyI ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 0.61/1.07 ( ( in @ X8 @ X4 ) => 0.61/1.07 ( ( X6 @ X8 ) => 0.61/1.07 ( nonempty @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(nonemptyE1, axiom, nonemptyE1 = 0.61/1.07 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 0.61/1.07 thf('95', plain, 0.61/1.07 (( nonemptyE1 ) = 0.61/1.07 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(nonempty, axiom,(( nonempty ) = (^[Xx:$i]: ( ( Xx ) != ( emptyset ) )))). 0.61/1.07 thf('96', plain, (( nonempty ) = ( ^[Xx:$i]: ( ( Xx ) != ( emptyset ) ) )), 0.61/1.07 inference('simplify_rw_rule', [status(thm)], [nonempty])). 0.61/1.07 thf('97', plain, (( nonempty ) = ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setbeta, axiom, setbeta = 0.61/1.07 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 0.61/1.07 ( ( in @ Xx @ A ) => 0.61/1.07 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) <=> 0.61/1.07 ( Xphi @ Xx ) ) ))). 0.61/1.07 thf('98', plain, 0.61/1.07 (( setbeta ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 0.61/1.07 ( ( in @ X8 @ X4 ) => 0.61/1.07 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=> 0.61/1.07 ( X6 @ X8 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(noeltsimpempty, axiom, noeltsimpempty = 0.61/1.07 (![A:$i]: 0.61/1.07 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 0.61/1.07 thf('99', plain, 0.61/1.07 (( noeltsimpempty ) = 0.61/1.07 ( ![X4:$i]: 0.61/1.07 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(emptyI, axiom, emptyI = 0.61/1.07 (![A:$i]: 0.61/1.07 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 0.61/1.07 thf('100', plain, 0.61/1.07 (( emptyI ) = 0.61/1.07 ( ![X4:$i]: 0.61/1.07 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setext, axiom, setext = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 0.61/1.07 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 0.61/1.07 ( ( A ) = ( B ) ) ) ))). 0.61/1.07 thf('101', plain, 0.61/1.07 (( setext ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 0.61/1.07 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) => 0.61/1.07 ( ( X4 ) = ( X6 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(exuE3e, axiom, exuE3e = 0.61/1.07 (![Xphi:( $i > $o )]: 0.61/1.07 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => ( ?[Xx:$i]: ( Xphi @ Xx ) ) ))). 0.61/1.07 thf('102', plain, 0.61/1.07 (( exuE3e ) = 0.61/1.07 ( ![X4:( $i > $o )]: 0.61/1.07 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => ( ?[X6:$i]: ( X4 @ X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(notinemptyset, axiom, notinemptyset = 0.61/1.07 (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 0.61/1.07 thf('103', plain, 0.61/1.07 (( notinemptyset ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(emptysetimpfalse, axiom, emptysetimpfalse = 0.61/1.07 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( $false ) ))). 0.61/1.07 thf('104', plain, 0.61/1.07 (( emptysetimpfalse ) = 0.61/1.07 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( $false ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(emptysetE, axiom, emptysetE = 0.61/1.07 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( ![Xphi:$o]: ( Xphi ) ) ))). 0.61/1.07 thf('105', plain, 0.61/1.07 (( emptysetE ) = 0.61/1.07 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( ![X6:$o]: ( X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(prop2setE, axiom, prop2setE = 0.61/1.07 (![Xphi:$o,Xx:$i]: ( ( in @ Xx @ ( prop2set @ Xphi ) ) => ( Xphi ) ))). 0.61/1.07 thf('106', plain, 0.61/1.07 (( prop2setE ) = 0.61/1.07 ( ![X4:$o,X6:$i]: ( ( in @ X6 @ ( prop2set @ X4 ) ) => ( X4 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(exuE1, axiom, exuE1 = 0.61/1.07 (![Xphi:( $i > $o )]: 0.61/1.07 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 0.61/1.07 ( ?[Xx:$i]: 0.61/1.07 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 0.61/1.07 ( Xphi @ Xx ) ) ) ))). 0.61/1.07 thf('107', plain, 0.61/1.07 (( exuE1 ) = 0.61/1.07 ( ![X4:( $i > $o )]: 0.61/1.07 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 0.61/1.07 ( ?[X6:$i]: 0.61/1.07 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 0.61/1.07 ( X4 @ X6 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(dsetconstrER, axiom, dsetconstrER = 0.61/1.07 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 0.61/1.07 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 0.61/1.07 ( Xphi @ Xx ) ))). 0.61/1.07 thf('108', plain, 0.61/1.07 (( dsetconstrER ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 0.61/1.07 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 0.61/1.07 ( X6 @ X8 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(dsetconstrEL, axiom, dsetconstrEL = 0.61/1.07 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 0.61/1.07 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 0.61/1.07 ( in @ Xx @ A ) ))). 0.61/1.07 thf('109', plain, 0.61/1.07 (( dsetconstrEL ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 0.61/1.07 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 0.61/1.07 ( in @ X8 @ X4 ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(dsetconstrI, axiom, dsetconstrI = 0.61/1.07 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 0.61/1.07 ( ( in @ Xx @ A ) => 0.61/1.07 ( ( Xphi @ Xx ) => 0.61/1.07 ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 0.61/1.07 thf('110', plain, 0.61/1.07 (( dsetconstrI ) = 0.61/1.07 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 0.61/1.07 ( ( in @ X8 @ X4 ) => 0.61/1.07 ( ( X6 @ X8 ) => 0.61/1.07 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(descrp, axiom, descrp = 0.61/1.07 (![Xphi:( $i > $o )]: 0.61/1.07 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 0.61/1.07 ( Xphi @ ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 0.61/1.07 thf('111', plain, 0.61/1.07 (( descrp ) = 0.61/1.07 ( ![X4:( $i > $o )]: 0.61/1.07 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 0.61/1.07 ( X4 @ ( descr @ ( ^[V_2:$i]: ( X4 @ V_2 ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(wellorderingAx, axiom, wellorderingAx = 0.61/1.07 (![A:$i]: 0.61/1.07 ( ?[B:$i]: 0.61/1.07 ( ( ![C:$i]: 0.61/1.07 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) & 0.61/1.07 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) => 0.61/1.07 ( ?[D:$i,Xx:$i]: 0.61/1.07 ( ( ![E:$i]: 0.61/1.07 ( ( in @ E @ B ) => 0.61/1.07 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) | 0.61/1.07 ( in @ Xx @ E ) ) ) ) & 0.61/1.07 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) & 0.61/1.07 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) & 0.61/1.07 ( ![C:$i,D:$i]: 0.61/1.07 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) => 0.61/1.07 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) | 0.61/1.07 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) & 0.61/1.07 ( ![Xx:$i,Xy:$i]: 0.61/1.07 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) => 0.61/1.07 ( ( ![C:$i]: 0.61/1.07 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) => 0.61/1.07 ( ( Xx ) = ( Xy ) ) ) ) ) & 0.61/1.07 ( ![C:$i]: 0.61/1.07 ( ( in @ C @ B ) => 0.61/1.07 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))). 0.61/1.07 thf('112', plain, 0.61/1.07 (( wellorderingAx ) = 0.61/1.07 ( ![X4:$i]: 0.61/1.07 ( ?[X6:$i]: 0.61/1.07 ( ( ![X8:$i]: 0.61/1.07 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) & 0.61/1.07 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) => 0.61/1.07 ( ?[X14:$i,X16:$i]: 0.61/1.07 ( ( ![X18:$i]: 0.61/1.07 ( ( in @ X18 @ X6 ) => 0.61/1.07 ( ( ![X20:$i]: 0.61/1.07 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) | 0.61/1.07 ( in @ X16 @ X18 ) ) ) ) & 0.61/1.07 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) & 0.61/1.07 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) & 0.61/1.07 ( ![X24:$i,X26:$i]: 0.61/1.07 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) => 0.61/1.07 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) | 0.61/1.07 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) & 0.61/1.07 ( ![X32:$i,X34:$i]: 0.61/1.07 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) => 0.61/1.07 ( ( ![X36:$i]: 0.61/1.07 ( ( in @ X36 @ X6 ) => 0.61/1.07 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) => 0.61/1.07 ( ( X32 ) = ( X34 ) ) ) ) ) & 0.61/1.07 ( ![X38:$i]: 0.61/1.07 ( ( in @ X38 @ X6 ) => 0.61/1.07 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(foundationAx, axiom, foundationAx = 0.61/1.07 (![A:$i]: 0.61/1.07 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => 0.61/1.07 ( ?[B:$i]: 0.61/1.07 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) & 0.61/1.07 ( in @ B @ A ) ) ) ))). 0.61/1.07 thf('113', plain, 0.61/1.07 (( foundationAx ) = 0.61/1.07 ( ![X4:$i]: 0.61/1.07 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => 0.61/1.07 ( ?[X8:$i]: 0.61/1.07 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) & 0.61/1.07 ( in @ X8 @ X4 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(replAx, axiom, replAx = 0.61/1.07 (![Xphi:( $i > $i > $o ),A:$i]: 0.61/1.07 ( ( ![Xx:$i]: 0.61/1.07 ( ( in @ Xx @ A ) => ( exu @ ( ^[Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ) ) => 0.61/1.07 ( ?[B:$i]: 0.61/1.07 ( ![Xx:$i]: 0.61/1.07 ( ( in @ Xx @ B ) <=> 0.61/1.07 ( ?[Xy:$i]: ( ( Xphi @ Xy @ Xx ) & ( in @ Xy @ A ) ) ) ) ) ) ))). 0.61/1.07 thf('114', plain, 0.61/1.07 (( replAx ) = 0.61/1.07 ( ![X4:( $i > $i > $o ),X6:$i]: 0.61/1.07 ( ( ![X8:$i]: 0.61/1.07 ( ( in @ X8 @ X6 ) => ( exu @ ( ^[V_1:$i]: ( X4 @ X8 @ V_1 ) ) ) ) ) => 0.61/1.07 ( ?[X10:$i]: 0.61/1.07 ( ![X12:$i]: 0.61/1.07 ( ( in @ X12 @ X10 ) <=> 0.61/1.07 ( ?[X14:$i]: ( ( X4 @ X14 @ X12 ) & ( in @ X14 @ X6 ) ) ) ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(omegaIndAx, axiom, omegaIndAx = 0.61/1.07 (![A:$i]: 0.61/1.07 ( ( ( in @ emptyset @ A ) & 0.61/1.07 ( ![Xx:$i]: 0.61/1.07 ( ( ( in @ Xx @ omega ) & ( in @ Xx @ A ) ) => 0.61/1.07 ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) ) ) => 0.61/1.07 ( ![Xx:$i]: ( ( in @ Xx @ omega ) => ( in @ Xx @ A ) ) ) ))). 0.61/1.07 thf('115', plain, 0.61/1.07 (( omegaIndAx ) = 0.61/1.07 ( ![X4:$i]: 0.61/1.07 ( ( ( in @ emptyset @ X4 ) & 0.61/1.07 ( ![X6:$i]: 0.61/1.07 ( ( ( in @ X6 @ omega ) & ( in @ X6 @ X4 ) ) => 0.61/1.07 ( in @ ( setadjoin @ X6 @ X6 ) @ X4 ) ) ) ) => 0.61/1.07 ( ![X8:$i]: ( ( in @ X8 @ omega ) => ( in @ X8 @ X4 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(omegaSAx, axiom, omegaSAx = 0.61/1.07 (![Xx:$i]: 0.61/1.07 ( ( in @ Xx @ omega ) => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ))). 0.61/1.07 thf('116', plain, 0.61/1.07 (( omegaSAx ) = 0.61/1.07 ( ![X4:$i]: 0.61/1.07 ( ( in @ X4 @ omega ) => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(omega0Ax, axiom,(( omega0Ax ) = (in @ emptyset @ omega))). 0.61/1.07 thf('117', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 0.61/1.07 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 0.61/1.07 thf('118', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setunionAx, axiom, setunionAx = 0.61/1.07 (![A:$i,Xx:$i]: 0.61/1.07 ( ( in @ Xx @ ( setunion @ A ) ) <=> 0.61/1.07 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))). 0.61/1.07 thf('119', plain, 0.61/1.07 (( setunionAx ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( in @ X6 @ ( setunion @ X4 ) ) <=> 0.61/1.07 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(powersetAx, axiom, powersetAx = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( in @ B @ ( powerset @ A ) ) <=> 0.61/1.07 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 0.61/1.07 thf('120', plain, 0.61/1.07 (( powersetAx ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 0.61/1.07 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setadjoinAx, axiom, setadjoinAx = 0.61/1.07 (![Xx:$i,A:$i,Xy:$i]: 0.61/1.07 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=> 0.61/1.07 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 0.61/1.07 thf('121', plain, 0.61/1.07 (( setadjoinAx ) = 0.61/1.07 ( ![X4:$i,X6:$i,X8:$i]: 0.61/1.07 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=> 0.61/1.07 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(emptysetAx, axiom, emptysetAx = (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 0.61/1.07 thf('122', plain, 0.61/1.07 (( emptysetAx ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setextAx, axiom, setextAx = 0.61/1.07 (![A:$i,B:$i]: 0.61/1.07 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) => 0.61/1.07 ( ( A ) = ( B ) ) ))). 0.61/1.07 thf('123', plain, 0.61/1.07 (( setextAx ) = 0.61/1.07 ( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 0.61/1.07 ( ( X4 ) = ( X6 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(exu, axiom,(( exu ) = 0.61/1.07 (^[Xphi:( $i > $o )]: 0.61/1.07 ( ?[Xx:$i]: 0.61/1.07 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & ( Xphi @ Xx ) ) )))). 0.61/1.07 thf('124', plain, 0.61/1.07 (( exu ) = 0.61/1.07 ( ^[Xphi:( $i > $o )]: 0.61/1.07 ( ?[Xx:$i]: 0.61/1.07 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 0.61/1.07 ( Xphi @ Xx ) ) ) )), 0.61/1.07 inference('simplify_rw_rule', [status(thm)], [exu])). 0.61/1.07 thf('125', plain, 0.61/1.07 (( exu ) = 0.61/1.07 ( ^[V_1:( $i > $o )]: 0.61/1.07 ( ?[X4:$i]: 0.61/1.07 ( ( ![X6:$i]: ( ( V_1 @ X6 ) => ( ( X4 ) = ( X6 ) ) ) ) & 0.61/1.07 ( V_1 @ X4 ) ) ) )), 0.61/1.07 define([status(thm)])). 0.61/1.07 thf(setminusEL, conjecture, 0.61/1.07 (( setextAx ) => 0.61/1.07 ( ( emptysetAx ) => 0.61/1.07 ( ( setadjoinAx ) => 0.61/1.07 ( ( powersetAx ) => 0.61/1.07 ( ( setunionAx ) => 0.61/1.07 ( ( omega0Ax ) => 0.61/1.07 ( ( omegaSAx ) => 0.61/1.07 ( ( omegaIndAx ) => 0.61/1.07 ( ( replAx ) => 0.61/1.07 ( ( foundationAx ) => 0.61/1.07 ( ( wellorderingAx ) => 0.61/1.07 ( ( descrp ) => 0.61/1.07 ( ( dsetconstrI ) => 0.61/1.07 ( ( dsetconstrEL ) => 0.61/1.07 ( ( dsetconstrER ) => 0.61/1.07 ( ( exuE1 ) => 0.61/1.07 ( ( prop2setE ) => 0.61/1.07 ( ( emptysetE ) => 0.61/1.07 ( ( emptysetimpfalse ) => 0.61/1.07 ( ( notinemptyset ) => 0.61/1.07 ( ( exuE3e ) => 0.61/1.07 ( ( setext ) => 0.61/1.07 ( ( emptyI ) => 0.61/1.07 ( ( noeltsimpempty ) => 0.61/1.07 ( ( setbeta ) => 0.61/1.07 ( ( nonemptyE1 ) => 0.61/1.07 ( ( nonemptyI ) => 0.61/1.07 ( ( nonemptyI1 ) => 0.61/1.07 ( ( setadjoinIL ) => 0.61/1.07 ( ( emptyinunitempty ) => 0.61/1.07 ( ( setadjoinIR ) => 0.61/1.07 ( ( setadjoinE ) => 0.61/1.07 ( ( 0.61/1.07 setadjoinOr ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 setoftrueEq ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 powersetI ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 emptyinPowerset ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 emptyInPowerset ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 powersetE ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 setunionI ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 setunionE ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subPowSU ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 exuE2 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 nonemptyImpWitness ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 uniqinunit ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 notinsingleton ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 eqinunit ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 singletonsswitch ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 upairsetE ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 upairsetIL ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 upairsetIR ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 emptyE1 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 vacuousDall ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 quantDeMorgan1 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 quantDeMorgan2 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 quantDeMorgan3 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 quantDeMorgan4 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 prop2setI ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 prop2set2propI ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 notdexE ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 notdallE ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 exuI1 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 exuI3 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 exuI2 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 inCongP ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in__Cong ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 exuE3u ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 exu__Cong ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 emptyset__Cong ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 setadjoin__Cong ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 powerset__Cong ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 setunion__Cong ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 omega__Cong ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 exuEu ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 descr__Cong ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 dsetconstr__Cong ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subsetI1 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 eqimpsubset2 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 eqimpsubset1 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subsetI2 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 emptysetsubset ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subsetE ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subsetE2 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 notsubsetI ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 notequalI1 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 notequalI2 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subsetRefl ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subsetTrans ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 setadjoinSub ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 setadjoinSub2 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset2powerset ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 setextsub ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subsetemptysetimpeq ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 powersetI1 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 powersetE1 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 inPowerset ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 powersetsubset ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 sepInPowerset ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 sepSubset ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binunionIL ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 upairset2IR ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binunionIR ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binunionEcases ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binunionE ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binunionLsub ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binunionRsub ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersectI ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersectSubset5 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersectEL ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersectLsub ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersectSubset2 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersectSubset3 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersectER ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 disjointsetsI1 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersectRsub ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersectSubset4 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersectSubset1 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 bs114d ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 setminusI ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 A:$i,B:$i, 0.61/1.07 Xx:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 Xx @ 0.61/1.07 ( 0.61/1.07 setminus @ 0.61/1.07 A @ B ) ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 Xx @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 0.61/1.07 thf(zf_stmt_0, conjecture, 0.61/1.07 (( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 0.61/1.07 ( ( X4 ) = ( X6 ) ) ) ) => 0.61/1.07 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 0.61/1.07 ( ( ![X12:$i,X14:$i,X16:$i]: 0.61/1.07 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 0.61/1.07 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 0.61/1.07 ( ( ![X18:$i,X20:$i]: 0.61/1.07 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 0.61/1.07 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 0.61/1.07 ( ( ![X24:$i,X26:$i]: 0.61/1.07 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 0.61/1.07 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 0.61/1.07 ( ( in @ emptyset @ omega ) => 0.61/1.07 ( ( ![X30:$i]: 0.61/1.07 ( ( in @ X30 @ omega ) => 0.61/1.07 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 0.61/1.07 ( ( ![X32:$i]: 0.61/1.07 ( ( ( ![X34:$i]: 0.61/1.07 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 0.61/1.07 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 0.61/1.07 ( in @ emptyset @ X32 ) ) => 0.61/1.07 ( ![X36:$i]: 0.61/1.07 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 0.61/1.07 ( ( ![X38:( $i > $i > $o ),X40:$i]: 0.61/1.07 ( ( ![X42:$i]: 0.61/1.07 ( ( in @ X42 @ X40 ) => 0.61/1.07 ( ?[X44:$i]: 0.61/1.07 ( ( X38 @ X42 @ X44 ) & 0.61/1.07 ( ![X46:$i]: 0.61/1.07 ( ( X38 @ X42 @ X46 ) => 0.61/1.07 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 0.61/1.07 ( ?[X48:$i]: 0.61/1.07 ( ![X50:$i]: 0.61/1.07 ( ( in @ X50 @ X48 ) <=> 0.61/1.07 ( ?[X52:$i]: 0.61/1.07 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 0.61/1.07 ( ( ![X54:$i]: 0.61/1.07 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 0.61/1.07 ( ?[X58:$i]: 0.61/1.07 ( ( in @ X58 @ X54 ) & 0.61/1.07 ( ~( ?[X60:$i]: 0.61/1.07 ( ( in @ X60 @ X58 ) & ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 0.61/1.07 ( ( ![X62:$i]: 0.61/1.07 ( ?[X64:$i]: 0.61/1.07 ( ( ![X96:$i]: 0.61/1.07 ( ( in @ X96 @ X64 ) => 0.61/1.07 ( ![X98:$i]: 0.61/1.07 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) & 0.61/1.07 ( ![X90:$i,X92:$i]: 0.61/1.07 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 0.61/1.07 ( ( ![X94:$i]: 0.61/1.07 ( ( in @ X94 @ X64 ) => 0.61/1.07 ( ( in @ X90 @ X94 ) <=> 0.61/1.07 ( in @ X92 @ X94 ) ) ) ) => 0.61/1.07 ( ( X90 ) = ( X92 ) ) ) ) ) & 0.61/1.07 ( ![X82:$i,X84:$i]: 0.61/1.07 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 0.61/1.07 ( ( ![X88:$i]: 0.61/1.07 ( ( in @ X88 @ X84 ) => 0.61/1.07 ( in @ X88 @ X82 ) ) ) | 0.61/1.07 ( ![X86:$i]: 0.61/1.07 ( ( in @ X86 @ X82 ) => 0.61/1.07 ( in @ X86 @ X84 ) ) ) ) ) ) & 0.61/1.07 ( ![X66:$i]: 0.61/1.07 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 0.61/1.07 ( ![X68:$i]: 0.61/1.07 ( ( in @ X68 @ X66 ) => 0.61/1.07 ( in @ X68 @ X62 ) ) ) ) => 0.61/1.07 ( ?[X72:$i,X74:$i]: 0.61/1.07 ( ( in @ X72 @ X64 ) & 0.61/1.07 ( in @ X74 @ X66 ) & 0.61/1.07 ( ~( ?[X80:$i]: 0.61/1.07 ( ( in @ X80 @ X72 ) & 0.61/1.07 ( in @ X80 @ X66 ) ) ) ) & 0.61/1.07 ( ![X76:$i]: 0.61/1.07 ( ( in @ X76 @ X64 ) => 0.61/1.07 ( ( in @ X74 @ X76 ) | 0.61/1.07 ( ![X78:$i]: 0.61/1.07 ( ( in @ X78 @ X76 ) => 0.61/1.07 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 0.61/1.07 ( ( ![X100:( $i > $o )]: 0.61/1.07 ( ( ?[X102:$i]: 0.61/1.07 ( ( X100 @ X102 ) & 0.61/1.07 ( ![X104:$i]: 0.61/1.07 ( ( X100 @ X104 ) => 0.61/1.07 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 0.61/1.07 ( X100 @ 0.61/1.07 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 0.61/1.07 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 0.61/1.07 ( ( in @ X110 @ X106 ) => 0.61/1.07 ( ( X108 @ X110 ) => 0.61/1.07 ( in @ 0.61/1.07 X110 @ 0.61/1.07 ( dsetconstr @ 0.61/1.07 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 0.61/1.07 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 0.61/1.07 ( ( in @ 0.61/1.07 X116 @ 0.61/1.07 ( dsetconstr @ 0.61/1.07 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 0.61/1.07 ( in @ X116 @ X112 ) ) ) => 0.61/1.07 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 0.61/1.07 ( ( in @ 0.61/1.07 X122 @ 0.61/1.07 ( dsetconstr @ 0.61/1.07 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 0.61/1.07 ( X120 @ X122 ) ) ) => 0.61/1.07 ( ( ![X124:( $i > $o )]: 0.61/1.07 ( ( ?[X126:$i]: 0.61/1.07 ( ( X124 @ X126 ) & 0.61/1.07 ( ![X128:$i]: 0.61/1.07 ( ( X124 @ X128 ) => 0.61/1.07 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 0.61/1.07 ( ?[X130:$i]: 0.61/1.07 ( ( X124 @ X130 ) & 0.61/1.07 ( ![X132:$i]: 0.61/1.07 ( ( X124 @ X132 ) => 0.61/1.07 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 0.61/1.07 ( ( ![X134:$o,X136:$i]: 0.61/1.07 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 0.61/1.07 ( X134 ) ) ) => 0.61/1.07 ( ( ![X138:$i]: 0.61/1.07 ( ( in @ X138 @ emptyset ) => 0.61/1.07 ( ![X140:$o]: ( X140 ) ) ) ) => 0.61/1.07 ( ( ![X142:$i]: 0.61/1.07 ( ( in @ X142 @ emptyset ) => 0.61/1.07 ( $false ) ) ) => 0.61/1.07 ( ( ![X144:$i]: 0.61/1.07 ( ~( in @ X144 @ emptyset ) ) ) => 0.61/1.07 ( ( ![X146:( $i > $o )]: 0.61/1.07 ( ( ?[X148:$i]: 0.61/1.07 ( ( X146 @ X148 ) & 0.61/1.07 ( ![X150:$i]: 0.61/1.07 ( ( X146 @ X150 ) => 0.61/1.07 ( ( X148 ) = ( X150 ) ) ) ) ) ) => 0.61/1.07 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 0.61/1.07 ( ( ![X154:$i,X156:$i]: 0.61/1.07 ( ( ![X158:$i]: 0.61/1.07 ( ( in @ X158 @ X154 ) => 0.61/1.07 ( in @ X158 @ X156 ) ) ) => 0.61/1.07 ( ( ![X160:$i]: 0.61/1.07 ( ( in @ X160 @ X156 ) => 0.61/1.07 ( in @ X160 @ X154 ) ) ) => 0.61/1.07 ( ( X154 ) = ( X156 ) ) ) ) ) => 0.61/1.07 ( ( ![X162:$i]: 0.61/1.07 ( ( ![X164:$i]: 0.61/1.07 ( ~( in @ X164 @ X162 ) ) ) => 0.61/1.07 ( ( X162 ) = ( emptyset ) ) ) ) => 0.61/1.07 ( ( ![X166:$i]: 0.61/1.07 ( ( ![X168:$i]: 0.61/1.07 ( ~( in @ X168 @ X166 ) ) ) => 0.61/1.07 ( ( X166 ) = 0.61/1.07 ( emptyset ) ) ) ) => 0.61/1.07 ( ( ![X170:$i, 0.61/1.07 X172:( $i > $o ), 0.61/1.07 X174:$i]: 0.61/1.07 ( ( in @ X174 @ X170 ) => 0.61/1.07 ( ( in @ 0.61/1.07 X174 @ 0.61/1.07 ( dsetconstr @ 0.61/1.07 X170 @ 0.61/1.07 ( ^[V_5:$i]: 0.61/1.07 ( X172 @ V_5 ) ) ) ) <=> 0.61/1.07 ( X172 @ X174 ) ) ) ) => 0.61/1.07 ( ( ![X176:$i]: 0.61/1.07 ( ( ( X176 ) != 0.61/1.07 ( emptyset ) ) => 0.61/1.07 ( ?[X178:$i]: 0.61/1.07 ( in @ X178 @ X176 ) ) ) ) => 0.61/1.07 ( ( ![X180:$i, 0.61/1.07 X182:( $i > $o ), 0.61/1.07 X184:$i]: 0.61/1.07 ( ( in @ X184 @ X180 ) => 0.61/1.07 ( ( X182 @ X184 ) => 0.61/1.07 ( ( dsetconstr @ 0.61/1.07 X180 @ 0.61/1.07 ( ^[ 0.61/1.07 V_6:$i]: 0.61/1.07 ( 0.61/1.07 X182 @ V_6 ) ) ) != 0.61/1.07 ( emptyset ) ) ) ) ) => 0.61/1.07 ( ( ![X186:$i]: 0.61/1.07 ( ( ?[X188:$i]: 0.61/1.07 ( in @ 0.61/1.07 X188 @ X186 ) ) => 0.61/1.07 ( ( X186 ) != 0.61/1.07 ( emptyset ) ) ) ) => 0.61/1.07 ( ( ![X190:$i, 0.61/1.07 X192:$i]: 0.61/1.07 ( in @ 0.61/1.07 X190 @ 0.61/1.07 ( setadjoin @ 0.61/1.07 X190 @ X192 ) ) ) => 0.61/1.07 ( ( in @ 0.61/1.07 emptyset @ 0.61/1.07 ( setadjoin @ 0.61/1.07 emptyset @ 0.61/1.07 emptyset ) ) => 0.61/1.07 ( ( ![X194:$i, 0.61/1.07 X196:$i, 0.61/1.07 X198:$i]: 0.61/1.07 ( ( 0.61/1.07 in @ 0.61/1.07 X198 @ 0.61/1.07 X196 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X198 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X194 @ 0.61/1.07 X196 ) ) ) ) => 0.61/1.07 ( ( ![ 0.61/1.07 X200:$i, 0.61/1.07 X202:$i, 0.61/1.07 X204:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X204 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X200 @ 0.61/1.07 X202 ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X206:$o]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X204 ) = 0.61/1.07 ( 0.61/1.07 X200 ) ) => 0.61/1.07 ( 0.61/1.07 X206 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X204 @ 0.61/1.07 X202 ) => 0.61/1.07 ( 0.61/1.07 X206 ) ) => 0.61/1.07 ( 0.61/1.07 X206 ) ) ) ) ) ) => 0.61/1.07 ( ( 0.61/1.07 ![ 0.61/1.07 X208:$i, 0.61/1.07 X210:$i, 0.61/1.07 X212:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X212 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X208 @ 0.61/1.07 X210 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X212 @ 0.61/1.07 X210 ) | 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X212 ) = 0.61/1.07 ( 0.61/1.07 X208 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X214:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 dsetconstr 0.61/1.07 @ 0.61/1.07 X214 @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_7:$i]: 0.61/1.07 ( 0.61/1.07 $true ) ) ) = 0.61/1.07 ( 0.61/1.07 X214 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X216:$i, 0.61/1.07 X218:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X220:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X220 @ 0.61/1.07 X218 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X220 @ 0.61/1.07 X216 ) ) ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X218 @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X216 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X222:$i]: 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 emptyset @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X222 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X224:$i]: 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 emptyset @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X224 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X226:$i, 0.61/1.07 X228:$i, 0.61/1.07 X230:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X228 @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X226 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X230 @ 0.61/1.07 X228 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X230 @ 0.61/1.07 X226 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X232:$i, 0.61/1.07 X234:$i, 0.61/1.07 X236:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X234 @ 0.61/1.07 X236 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X236 @ 0.61/1.07 X232 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X234 @ 0.61/1.07 ( 0.61/1.07 setunion @ 0.61/1.07 X232 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X238:$i, 0.61/1.07 X240:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X240 @ 0.61/1.07 ( 0.61/1.07 setunion @ 0.61/1.07 X238 ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X242:$o]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X244:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X240 @ 0.61/1.07 X244 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X244 @ 0.61/1.07 X238 ) => 0.61/1.07 ( 0.61/1.07 X242 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 X242 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X246:$i, 0.61/1.07 X248:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X248 @ 0.61/1.07 X246 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X248 @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 ( 0.61/1.07 setunion @ 0.61/1.07 X246 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X250:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X252:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X250 @ 0.61/1.07 X252 ) & 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X254:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X250 @ 0.61/1.07 X254 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X252 ) = 0.61/1.07 ( 0.61/1.07 X254 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X256:$i]: 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X258:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X250 @ 0.61/1.07 X258 ) <=> 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X258 ) = 0.61/1.07 ( 0.61/1.07 X256 ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X260:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X260 ) != 0.61/1.07 ( 0.61/1.07 emptyset ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X262:$i]: 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X262 @ 0.61/1.07 X260 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X264:$i, 0.61/1.07 X266:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X264 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X266 @ 0.61/1.07 emptyset ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X264 ) = 0.61/1.07 ( 0.61/1.07 X266 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X268:$i, 0.61/1.07 X270:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X268 ) != 0.61/1.07 ( 0.61/1.07 X270 ) ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 in @ 0.61/1.07 X270 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X268 @ 0.61/1.07 emptyset ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X272:$i, 0.61/1.07 X274:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X272 ) = 0.61/1.07 ( 0.61/1.07 X274 ) ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X272 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X274 @ 0.61/1.07 emptyset ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X276:$i, 0.61/1.07 X278:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X276 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X278 @ 0.61/1.07 emptyset ) ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X278 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X276 @ 0.61/1.07 emptyset ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X280:$i, 0.61/1.07 X282:$i, 0.61/1.07 X284:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X284 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X280 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X282 @ 0.61/1.07 emptyset ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X284 ) = 0.61/1.07 ( 0.61/1.07 X282 ) ) | 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X284 ) = 0.61/1.07 ( 0.61/1.07 X280 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X286:$i, 0.61/1.07 X288:$i]: 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X286 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X286 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X288 @ 0.61/1.07 emptyset ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X290:$i, 0.61/1.07 X292:$i]: 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X292 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X290 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X292 @ 0.61/1.07 emptyset ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X294:$i, 0.61/1.07 X296:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X298:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X298 @ 0.61/1.07 X294 ) & 0.61/1.07 ( 0.61/1.07 X296 @ 0.61/1.07 X298 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 dsetconstr 0.61/1.07 @ 0.61/1.07 X294 @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_8:$i]: 0.61/1.07 ( 0.61/1.07 X296 @ V_8 ) ) ) = 0.61/1.07 ( 0.61/1.07 emptyset ) ) => 0.61/1.07 ( 0.61/1.07 $false ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X300:( 0.61/1.07 $i > $o ), 0.61/1.07 X302:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X302 @ 0.61/1.07 emptyset ) => 0.61/1.07 ( 0.61/1.07 X300 @ 0.61/1.07 X302 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X304:$i, 0.61/1.07 X306:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 ![ 0.61/1.07 X308:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X308 @ 0.61/1.07 X304 ) => 0.61/1.07 ( 0.61/1.07 X306 @ 0.61/1.07 X308 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X310:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X310 @ 0.61/1.07 X304 ) & 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 X306 @ 0.61/1.07 X310 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X312:$i, 0.61/1.07 X314:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X316:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X316 @ 0.61/1.07 X312 ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 X314 @ 0.61/1.07 X316 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 ?[ 0.61/1.07 X318:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X318 @ 0.61/1.07 X312 ) & 0.61/1.07 ( 0.61/1.07 X314 @ 0.61/1.07 X318 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X320:$i, 0.61/1.07 X322:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 ?[ 0.61/1.07 X324:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X324 @ 0.61/1.07 X320 ) & 0.61/1.07 ( 0.61/1.07 X322 @ 0.61/1.07 X324 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X326:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X326 @ 0.61/1.07 X320 ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 X322 @ 0.61/1.07 X326 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X328:$i, 0.61/1.07 X330:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X332:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X332 @ 0.61/1.07 X328 ) & 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 X330 @ 0.61/1.07 X332 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 ![ 0.61/1.07 X334:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X334 @ 0.61/1.07 X328 ) => 0.61/1.07 ( 0.61/1.07 X330 @ 0.61/1.07 X334 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X336:$o]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X336 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 emptyset @ 0.61/1.07 ( 0.61/1.07 prop2set @ 0.61/1.07 X336 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X338:$o]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X338 ) => 0.61/1.07 ( 0.61/1.07 set2prop @ 0.61/1.07 ( 0.61/1.07 prop2set @ 0.61/1.07 X338 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X340:$i, 0.61/1.07 X342:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 ?[ 0.61/1.07 X344:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X344 @ 0.61/1.07 X340 ) & 0.61/1.07 ( 0.61/1.07 X342 @ 0.61/1.07 X344 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X346:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X346 @ 0.61/1.07 X340 ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 X342 @ 0.61/1.07 X346 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X348:$i, 0.61/1.07 X350:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 ![ 0.61/1.07 X352:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X352 @ 0.61/1.07 X348 ) => 0.61/1.07 ( 0.61/1.07 X350 @ 0.61/1.07 X352 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X354:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X354 @ 0.61/1.07 X348 ) & 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 X350 @ 0.61/1.07 X354 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X356:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X358:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X356 @ 0.61/1.07 X358 ) & 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X360:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X356 @ 0.61/1.07 X360 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X358 ) = 0.61/1.07 ( 0.61/1.07 X360 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X362:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X356 @ 0.61/1.07 X362 ) & 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X364:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X356 @ 0.61/1.07 X364 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X362 ) = 0.61/1.07 ( 0.61/1.07 X364 ) ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X366:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X368:$i]: 0.61/1.07 ( 0.61/1.07 X366 @ 0.61/1.07 X368 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X370:$i, 0.61/1.07 X372:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X366 @ 0.61/1.07 X370 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X366 @ 0.61/1.07 X372 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X370 ) = 0.61/1.07 ( 0.61/1.07 X372 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X374:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X366 @ 0.61/1.07 X374 ) & 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X376:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X366 @ 0.61/1.07 X376 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X374 ) = 0.61/1.07 ( 0.61/1.07 X376 ) ) ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X378:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X380:$i]: 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X382:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X378 @ 0.61/1.07 X382 ) <=> 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X382 ) = 0.61/1.07 ( 0.61/1.07 X380 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X384:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X378 @ 0.61/1.07 X384 ) & 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X386:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X378 @ 0.61/1.07 X386 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X384 ) = 0.61/1.07 ( 0.61/1.07 X386 ) ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X388:$i, 0.61/1.07 X390:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X388 ) = 0.61/1.07 ( 0.61/1.07 X390 ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X392:$i, 0.61/1.07 X394:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X392 ) = 0.61/1.07 ( 0.61/1.07 X394 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X392 @ 0.61/1.07 X388 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X394 @ 0.61/1.07 X390 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X396:$i, 0.61/1.07 X398:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X396 ) = 0.61/1.07 ( 0.61/1.07 X398 ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X400:$i, 0.61/1.07 X402:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X400 ) = 0.61/1.07 ( 0.61/1.07 X402 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X400 @ 0.61/1.07 X396 ) <=> 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X402 @ 0.61/1.07 X398 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X404:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X406:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X404 @ 0.61/1.07 X406 ) & 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X408:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X404 @ 0.61/1.07 X408 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X406 ) = 0.61/1.07 ( 0.61/1.07 X408 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X410:$i, 0.61/1.07 X412:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X404 @ 0.61/1.07 X410 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X404 @ 0.61/1.07 X412 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X410 ) = 0.61/1.07 ( 0.61/1.07 X412 ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X414:( 0.61/1.07 $i > $o ), 0.61/1.07 X416:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X418:$i, 0.61/1.07 X420:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X418 ) = 0.61/1.07 ( 0.61/1.07 X420 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X414 @ 0.61/1.07 X418 ) <=> 0.61/1.07 ( 0.61/1.07 X416 @ 0.61/1.07 X420 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X422:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X414 @ 0.61/1.07 X422 ) & 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X424:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X414 @ 0.61/1.07 X424 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X422 ) = 0.61/1.07 ( 0.61/1.07 X424 ) ) ) ) ) ) <=> 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X426:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X416 @ 0.61/1.07 X426 ) & 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X428:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X416 @ 0.61/1.07 X428 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X426 ) = 0.61/1.07 ( 0.61/1.07 X428 ) ) ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 emptyset ) = 0.61/1.07 ( 0.61/1.07 emptyset ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X430:$i, 0.61/1.07 X432:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X430 ) = 0.61/1.07 ( 0.61/1.07 X432 ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X434:$i, 0.61/1.07 X436:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X434 ) = 0.61/1.07 ( 0.61/1.07 X436 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X430 @ 0.61/1.07 X434 ) = 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X432 @ 0.61/1.07 X436 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X438:$i, 0.61/1.07 X440:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X438 ) = 0.61/1.07 ( 0.61/1.07 X440 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X438 ) = 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X440 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X442:$i, 0.61/1.07 X444:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X442 ) = 0.61/1.07 ( 0.61/1.07 X444 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 setunion @ 0.61/1.07 X442 ) = 0.61/1.07 ( 0.61/1.07 setunion @ 0.61/1.07 X444 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 omega ) = 0.61/1.07 ( 0.61/1.07 omega ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X446:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X448:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X446 @ 0.61/1.07 X448 ) & 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X450:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X446 @ 0.61/1.07 X450 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X448 ) = 0.61/1.07 ( 0.61/1.07 X450 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X452:$i, 0.61/1.07 X454:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X446 @ 0.61/1.07 X452 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X446 @ 0.61/1.07 X454 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X452 ) = 0.61/1.07 ( 0.61/1.07 X454 ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X456:( 0.61/1.07 $i > $o ), 0.61/1.07 X458:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X460:$i, 0.61/1.07 X462:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X460 ) = 0.61/1.07 ( 0.61/1.07 X462 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X456 @ 0.61/1.07 X460 ) <=> 0.61/1.07 ( 0.61/1.07 X458 @ 0.61/1.07 X462 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X464:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X456 @ 0.61/1.07 X464 ) & 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X466:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X456 @ 0.61/1.07 X466 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X464 ) = 0.61/1.07 ( 0.61/1.07 X466 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X468:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X458 @ 0.61/1.07 X468 ) & 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X470:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X458 @ 0.61/1.07 X470 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X468 ) = 0.61/1.07 ( 0.61/1.07 X470 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 descr @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_9:$i]: 0.61/1.07 ( 0.61/1.07 X456 @ V_9 ) ) ) = 0.61/1.07 ( 0.61/1.07 descr @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_10:$i]: 0.61/1.07 ( 0.61/1.07 X458 @ 0.61/1.07 V_10 ) ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X472:$i, 0.61/1.07 X474:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X472 ) = 0.61/1.07 ( 0.61/1.07 X474 ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X476:( 0.61/1.07 $i > $o ), 0.61/1.07 X478:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X480:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X480 @ 0.61/1.07 X472 ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X482:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X482 @ 0.61/1.07 X474 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X480 ) = 0.61/1.07 ( 0.61/1.07 X482 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X476 @ 0.61/1.07 X480 ) <=> 0.61/1.07 ( 0.61/1.07 X478 @ 0.61/1.07 X482 ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 dsetconstr 0.61/1.07 @ 0.61/1.07 X472 @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_11:$i]: 0.61/1.07 ( 0.61/1.07 X476 @ 0.61/1.07 V_11 ) ) ) = 0.61/1.07 ( 0.61/1.07 dsetconstr 0.61/1.07 @ 0.61/1.07 X474 @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_12:$i]: 0.61/1.07 ( 0.61/1.07 X478 @ 0.61/1.07 V_12 ) ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X484:$i, 0.61/1.07 X486:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X488:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X488 @ 0.61/1.07 X484 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X488 @ 0.61/1.07 X486 ) ) ) => 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X484 @ 0.61/1.07 X486 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X490:$i, 0.61/1.07 X492:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X490 ) = 0.61/1.07 ( 0.61/1.07 X492 ) ) => 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X492 @ 0.61/1.07 X490 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X494:$i, 0.61/1.07 X496:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X494 ) = 0.61/1.07 ( 0.61/1.07 X496 ) ) => 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X494 @ 0.61/1.07 X496 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X498:$i, 0.61/1.07 X500:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X502:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X502 @ 0.61/1.07 X498 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X502 @ 0.61/1.07 X500 ) ) ) => 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X498 @ 0.61/1.07 X500 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X504:$i]: 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 emptyset @ 0.61/1.07 X504 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X506:$i, 0.61/1.07 X508:$i, 0.61/1.07 X510:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X506 @ 0.61/1.07 X508 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X510 @ 0.61/1.07 X506 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X510 @ 0.61/1.07 X508 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X512:$i, 0.61/1.07 X514:$i, 0.61/1.07 X516:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X512 @ 0.61/1.07 X514 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 in @ 0.61/1.07 X516 @ 0.61/1.07 X514 ) ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 in @ 0.61/1.07 X516 @ 0.61/1.07 X512 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X518:$i, 0.61/1.07 X520:$i, 0.61/1.07 X522:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X522 @ 0.61/1.07 X518 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 in @ 0.61/1.07 X522 @ 0.61/1.07 X520 ) ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 subset @ 0.61/1.07 X518 @ 0.61/1.07 X520 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X524:$i, 0.61/1.07 X526:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 subset @ 0.61/1.07 X524 @ 0.61/1.07 X526 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X524 ) != 0.61/1.07 ( 0.61/1.07 X526 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X528:$i, 0.61/1.07 X530:$i, 0.61/1.07 X532:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X532 @ 0.61/1.07 X528 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 in @ 0.61/1.07 X532 @ 0.61/1.07 X530 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X528 ) != 0.61/1.07 ( 0.61/1.07 X530 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X534:$i]: 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X534 @ 0.61/1.07 X534 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X536:$i, 0.61/1.07 X538:$i, 0.61/1.07 X540:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X536 @ 0.61/1.07 X538 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X538 @ 0.61/1.07 X540 ) => 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X536 @ 0.61/1.07 X540 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X542:$i, 0.61/1.07 X544:$i]: 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X544 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X542 @ 0.61/1.07 X544 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X546:$i, 0.61/1.07 X548:$i, 0.61/1.07 X550:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X546 @ 0.61/1.07 X550 ) => 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X546 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X548 @ 0.61/1.07 X550 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X552:$i, 0.61/1.07 X554:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X552 @ 0.61/1.07 X554 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X552 @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X554 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X556:$i, 0.61/1.07 X558:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X556 @ 0.61/1.07 X558 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X558 @ 0.61/1.07 X556 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X556 ) = 0.61/1.07 ( 0.61/1.07 X558 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X560:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X560 @ 0.61/1.07 emptyset ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X560 ) = 0.61/1.07 ( 0.61/1.07 emptyset ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X562:$i, 0.61/1.07 X564:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X564 @ 0.61/1.07 X562 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X564 @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X562 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X566:$i, 0.61/1.07 X568:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X568 @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X566 ) ) => 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X568 @ 0.61/1.07 X566 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X570:$i]: 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X570 @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X570 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X572:$i, 0.61/1.07 X574:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X572 @ 0.61/1.07 X574 ) => 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X572 ) @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X574 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X576:$i, 0.61/1.07 X578:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 ( 0.61/1.07 dsetconstr 0.61/1.07 @ 0.61/1.07 X576 @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_13:$i]: 0.61/1.07 ( 0.61/1.07 X578 @ 0.61/1.07 V_13 ) ) ) @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X576 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X580:$i, 0.61/1.07 X582:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 ( 0.61/1.07 dsetconstr 0.61/1.07 @ 0.61/1.07 X580 @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_14:$i]: 0.61/1.07 ( 0.61/1.07 X582 @ 0.61/1.07 V_14 ) ) ) @ 0.61/1.07 X580 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X584:$i, 0.61/1.07 X586:$i, 0.61/1.07 X588:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X588 @ 0.61/1.07 X584 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X588 @ 0.61/1.07 ( 0.61/1.07 binunion @ 0.61/1.07 X584 @ 0.61/1.07 X586 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X590:$i, 0.61/1.07 X592:$i]: 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X592 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X590 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X592 @ 0.61/1.07 emptyset ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X594:$i, 0.61/1.07 X596:$i, 0.61/1.07 X598:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X598 @ 0.61/1.07 X596 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X598 @ 0.61/1.07 ( 0.61/1.07 binunion @ 0.61/1.07 X594 @ 0.61/1.07 X596 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X600:$i, 0.61/1.07 X602:$i, 0.61/1.07 X604:$i, 0.61/1.07 X606:$o]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X604 @ 0.61/1.07 ( 0.61/1.07 binunion @ 0.61/1.07 X600 @ 0.61/1.07 X602 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X604 @ 0.61/1.07 X600 ) => 0.61/1.07 ( 0.61/1.07 X606 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X604 @ 0.61/1.07 X602 ) => 0.61/1.07 ( 0.61/1.07 X606 ) ) => 0.61/1.07 ( 0.61/1.07 X606 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X608:$i, 0.61/1.07 X610:$i, 0.61/1.07 X612:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X612 @ 0.61/1.07 ( 0.61/1.07 binunion @ 0.61/1.07 X608 @ 0.61/1.07 X610 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X612 @ 0.61/1.07 X610 ) | 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X612 @ 0.61/1.07 X608 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X614:$i, 0.61/1.07 X616:$i]: 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X614 @ 0.61/1.07 ( 0.61/1.07 binunion @ 0.61/1.07 X614 @ 0.61/1.07 X616 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X618:$i, 0.61/1.07 X620:$i]: 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X620 @ 0.61/1.07 ( 0.61/1.07 binunion @ 0.61/1.07 X618 @ 0.61/1.07 X620 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X622:$i, 0.61/1.07 X624:$i, 0.61/1.07 X626:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X626 @ 0.61/1.07 X622 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X626 @ 0.61/1.07 X624 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X626 @ 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X622 @ 0.61/1.07 X624 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X628:$i, 0.61/1.07 X630:$i, 0.61/1.07 X632:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X632 @ 0.61/1.07 X628 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X632 @ 0.61/1.07 X630 ) => 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X632 @ 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X628 @ 0.61/1.07 X630 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X634:$i, 0.61/1.07 X636:$i, 0.61/1.07 X638:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X638 @ 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X634 @ 0.61/1.07 X636 ) ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X638 @ 0.61/1.07 X634 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X640:$i, 0.61/1.07 X642:$i]: 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X640 @ 0.61/1.07 X642 ) @ 0.61/1.07 X640 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X644:$i, 0.61/1.07 X646:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X644 @ 0.61/1.07 X646 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X644 @ 0.61/1.07 X646 ) = 0.61/1.07 ( 0.61/1.07 X644 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X648:$i, 0.61/1.07 X650:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X648 @ 0.61/1.07 X650 ) = 0.61/1.07 ( 0.61/1.07 X650 ) ) => 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X650 @ 0.61/1.07 X648 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X652:$i, 0.61/1.07 X654:$i, 0.61/1.07 X656:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X656 @ 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X652 @ 0.61/1.07 X654 ) ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X656 @ 0.61/1.07 X654 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X658:$i, 0.61/1.07 X660:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 ?[ 0.61/1.07 X662:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X662 @ 0.61/1.07 X658 ) & 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X662 @ 0.61/1.07 X660 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X658 @ 0.61/1.07 X660 ) = 0.61/1.07 ( 0.61/1.07 emptyset ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X664:$i, 0.61/1.07 X666:$i]: 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X664 @ 0.61/1.07 X666 ) @ 0.61/1.07 X666 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X668:$i, 0.61/1.07 X670:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X670 @ 0.61/1.07 X668 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X668 @ 0.61/1.07 X670 ) = 0.61/1.07 ( 0.61/1.07 X670 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X672:$i, 0.61/1.07 X674:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X672 @ 0.61/1.07 X674 ) = 0.61/1.07 ( 0.61/1.07 X672 ) ) => 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X672 @ 0.61/1.07 X674 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X676:$i, 0.61/1.07 X678:$i, 0.61/1.07 X680:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X676 @ 0.61/1.07 ( 0.61/1.07 binunion @ 0.61/1.07 X678 @ 0.61/1.07 X680 ) ) = 0.61/1.07 ( 0.61/1.07 binunion @ 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X676 @ 0.61/1.07 X678 ) @ 0.61/1.07 ( 0.61/1.07 binintersect 0.61/1.07 @ 0.61/1.07 X676 @ 0.61/1.07 X680 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X682:$i, 0.61/1.07 X684:$i, 0.61/1.07 X686:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X686 @ 0.61/1.07 X682 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 in @ 0.61/1.07 X686 @ 0.61/1.07 X684 ) ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X686 @ 0.61/1.07 ( 0.61/1.07 dsetconstr 0.61/1.07 @ 0.61/1.07 X682 @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_15:$i]: 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 in @ 0.61/1.07 V_15 @ 0.61/1.07 X684 ) ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X688:$i, 0.61/1.07 X690:$i, 0.61/1.07 X692:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X692 @ 0.61/1.07 ( 0.61/1.07 dsetconstr 0.61/1.07 @ 0.61/1.07 X688 @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_16:$i]: 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 in @ 0.61/1.07 V_16 @ 0.61/1.07 X690 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X692 @ 0.61/1.07 X688 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 0.61/1.07 thf(zf_stmt_1, type, zip_tseitin_5 : $i > ( $i > $o ) > $o). 0.61/1.07 thf(zf_stmt_2, axiom, 0.61/1.07 (![X422:$i,X414:( $i > $o )]: 0.61/1.07 ( ( zip_tseitin_5 @ X422 @ X414 ) <=> 0.61/1.07 ( ( ![X424:$i]: ( zip_tseitin_4 @ X424 @ X422 @ X414 ) ) & 0.61/1.07 ( X414 @ X422 ) ) ))). 0.61/1.07 thf(zf_stmt_3, type, zip_tseitin_4 : $i > $i > ( $i > $o ) > $o). 0.61/1.07 thf(zf_stmt_4, axiom, 0.61/1.07 (![X424:$i,X422:$i,X414:( $i > $o )]: 0.61/1.07 ( ( zip_tseitin_4 @ X424 @ X422 @ X414 ) <=> 0.61/1.07 ( ( X414 @ X424 ) => ( ( X422 ) = ( X424 ) ) ) ))). 0.61/1.07 thf(zf_stmt_5, type, zip_tseitin_3 : $i > $i > $i > ( $i > $i > $o ) > $o). 0.61/1.07 thf(zf_stmt_6, axiom, 0.61/1.07 (![X52:$i,X50:$i,X40:$i,X38:( $i > $i > $o )]: 0.61/1.07 ( ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) <=> 0.61/1.07 ( ( X38 @ X52 @ X50 ) & ( in @ X52 @ X40 ) ) ))). 0.61/1.07 thf(zf_stmt_7, type, zip_tseitin_2 : $i > $i > $i > $o). 0.61/1.07 thf(zf_stmt_8, axiom, 0.61/1.07 (![X28:$i,X26:$i,X24:$i]: 0.61/1.07 ( ( zip_tseitin_2 @ X28 @ X26 @ X24 ) <=> 0.61/1.07 ( ( in @ X28 @ X24 ) & ( in @ X26 @ X28 ) ) ))). 0.61/1.07 thf(zf_stmt_9, type, zip_tseitin_1 : $i > $i > $i > $o). 0.61/1.07 thf(zf_stmt_10, axiom, 0.61/1.07 (![X22:$i,X20:$i,X18:$i]: 0.61/1.07 ( ( zip_tseitin_1 @ X22 @ X20 @ X18 ) <=> 0.61/1.07 ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ))). 0.61/1.07 thf(zf_stmt_11, type, zip_tseitin_0 : $i > $i > $i > $o). 0.61/1.07 thf(zf_stmt_12, axiom, 0.61/1.07 (![X16:$i,X14:$i,X12:$i]: 0.61/1.07 ( ( zip_tseitin_0 @ X16 @ X14 @ X12 ) <=> 0.61/1.07 ( ( ( X16 ) = ( X12 ) ) | ( in @ X16 @ X14 ) ) ))). 0.61/1.07 thf(zf_stmt_13, conjecture, 0.61/1.07 (( ![X4:$i,X6:$i]: 0.61/1.07 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 0.61/1.07 ( ( X4 ) = ( X6 ) ) ) ) => 0.61/1.07 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 0.61/1.07 ( ( ![X12:$i,X14:$i,X16:$i]: 0.61/1.07 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 0.61/1.07 ( zip_tseitin_0 @ X16 @ X14 @ X12 ) ) ) => 0.61/1.07 ( ( ![X18:$i,X20:$i]: 0.61/1.07 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 0.61/1.07 ( ![X22:$i]: ( zip_tseitin_1 @ X22 @ X20 @ X18 ) ) ) ) => 0.61/1.07 ( ( ![X24:$i,X26:$i]: 0.61/1.07 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 0.61/1.07 ( ?[X28:$i]: ( zip_tseitin_2 @ X28 @ X26 @ X24 ) ) ) ) => 0.61/1.07 ( ( in @ emptyset @ omega ) => 0.61/1.07 ( ( ![X30:$i]: 0.61/1.07 ( ( in @ X30 @ omega ) => 0.61/1.07 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 0.61/1.07 ( ( ![X32:$i]: 0.61/1.07 ( ( ( in @ emptyset @ X32 ) & 0.61/1.07 ( ![X34:$i]: 0.61/1.07 ( ( ( in @ X34 @ omega ) & ( in @ X34 @ X32 ) ) => 0.61/1.07 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) ) => 0.61/1.07 ( ![X36:$i]: 0.61/1.07 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 0.61/1.07 ( ( ![X38:( $i > $i > $o ),X40:$i]: 0.61/1.07 ( ( ![X42:$i]: 0.61/1.07 ( ( in @ X42 @ X40 ) => 0.61/1.07 ( ?[X44:$i]: 0.61/1.07 ( ( ![X46:$i]: 0.61/1.07 ( ( X38 @ X42 @ X46 ) => 0.61/1.07 ( ( X44 ) = ( X46 ) ) ) ) & 0.61/1.07 ( X38 @ X42 @ X44 ) ) ) ) ) => 0.61/1.07 ( ?[X48:$i]: 0.61/1.07 ( ![X50:$i]: 0.61/1.07 ( ( in @ X50 @ X48 ) <=> 0.61/1.07 ( ?[X52:$i]: 0.61/1.07 ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) ) ) ) ) ) ) => 0.61/1.07 ( ( ![X54:$i]: 0.61/1.07 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 0.61/1.07 ( ?[X58:$i]: 0.61/1.07 ( ( ~( ?[X60:$i]: 0.61/1.07 ( ( in @ X60 @ X54 ) & ( in @ X60 @ X58 ) ) ) ) & 0.61/1.07 ( in @ X58 @ X54 ) ) ) ) ) => 0.61/1.07 ( ( ![X62:$i]: 0.61/1.07 ( ?[X64:$i]: 0.61/1.07 ( ( ![X66:$i]: 0.61/1.07 ( ( ( ![X68:$i]: 0.61/1.07 ( ( in @ X68 @ X66 ) => 0.61/1.07 ( in @ X68 @ X62 ) ) ) & 0.61/1.07 ( ?[X70:$i]: ( in @ X70 @ X66 ) ) ) => 0.61/1.07 ( ?[X72:$i,X74:$i]: 0.61/1.07 ( ( ![X76:$i]: 0.61/1.07 ( ( in @ X76 @ X64 ) => 0.61/1.07 ( ( ![X78:$i]: 0.61/1.07 ( ( in @ X78 @ X76 ) => 0.61/1.07 ( in @ X78 @ X72 ) ) ) | 0.61/1.07 ( in @ X74 @ X76 ) ) ) ) & 0.61/1.07 ( ~( ?[X80:$i]: 0.61/1.07 ( ( in @ X80 @ X66 ) & 0.61/1.07 ( in @ X80 @ X72 ) ) ) ) & 0.61/1.07 ( in @ X74 @ X66 ) & ( in @ X72 @ X64 ) ) ) ) ) & 0.61/1.07 ( ![X82:$i,X84:$i]: 0.61/1.07 ( ( ( in @ X82 @ X64 ) & ( in @ X84 @ X64 ) ) => 0.61/1.07 ( ( ![X86:$i]: 0.61/1.07 ( ( in @ X86 @ X82 ) => 0.61/1.07 ( in @ X86 @ X84 ) ) ) | 0.61/1.07 ( ![X88:$i]: 0.61/1.07 ( ( in @ X88 @ X84 ) => 0.61/1.07 ( in @ X88 @ X82 ) ) ) ) ) ) & 0.61/1.07 ( ![X90:$i,X92:$i]: 0.61/1.07 ( ( ( in @ X90 @ X62 ) & ( in @ X92 @ X62 ) ) => 0.61/1.07 ( ( ![X94:$i]: 0.61/1.07 ( ( in @ X94 @ X64 ) => 0.61/1.07 ( ( in @ X90 @ X94 ) <=> 0.61/1.07 ( in @ X92 @ X94 ) ) ) ) => 0.61/1.07 ( ( X90 ) = ( X92 ) ) ) ) ) & 0.61/1.07 ( ![X96:$i]: 0.61/1.07 ( ( in @ X96 @ X64 ) => 0.61/1.07 ( ![X98:$i]: 0.61/1.07 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) ) ) ) => 0.61/1.07 ( ( ![X100:( $i > $o )]: 0.61/1.07 ( ( ?[X102:$i]: 0.61/1.07 ( ( ![X104:$i]: 0.61/1.07 ( ( X100 @ X104 ) => 0.61/1.07 ( ( X102 ) = ( X104 ) ) ) ) & 0.61/1.07 ( X100 @ X102 ) ) ) => 0.61/1.07 ( X100 @ 0.61/1.07 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 0.61/1.07 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 0.61/1.07 ( ( in @ X110 @ X106 ) => 0.61/1.07 ( ( X108 @ X110 ) => 0.61/1.07 ( in @ 0.61/1.07 X110 @ 0.61/1.07 ( dsetconstr @ 0.61/1.07 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 0.61/1.07 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 0.61/1.07 ( ( in @ 0.61/1.07 X116 @ 0.61/1.07 ( dsetconstr @ 0.61/1.07 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 0.61/1.07 ( in @ X116 @ X112 ) ) ) => 0.61/1.07 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 0.61/1.07 ( ( in @ 0.61/1.07 X122 @ 0.61/1.07 ( dsetconstr @ 0.61/1.07 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 0.61/1.07 ( X120 @ X122 ) ) ) => 0.61/1.07 ( ( ![X124:( $i > $o )]: 0.61/1.07 ( ( ?[X126:$i]: 0.61/1.07 ( ( ![X128:$i]: 0.61/1.07 ( ( X124 @ X128 ) => 0.61/1.07 ( ( X126 ) = ( X128 ) ) ) ) & 0.61/1.07 ( X124 @ X126 ) ) ) => 0.61/1.07 ( ?[X130:$i]: 0.61/1.07 ( ( ![X132:$i]: 0.61/1.07 ( ( X124 @ X132 ) => 0.61/1.07 ( ( X130 ) = ( X132 ) ) ) ) & 0.61/1.07 ( X124 @ X130 ) ) ) ) ) => 0.61/1.07 ( ( ![X134:$o,X136:$i]: 0.61/1.07 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 0.61/1.07 ( X134 ) ) ) => 0.61/1.07 ( ( ![X138:$i]: 0.61/1.07 ( ( in @ X138 @ emptyset ) => 0.61/1.07 ( ![X140:$o]: ( X140 ) ) ) ) => 0.61/1.07 ( ( ![X142:$i]: 0.61/1.07 ( ~( in @ X142 @ emptyset ) ) ) => 0.61/1.07 ( ( ![X144:$i]: 0.61/1.07 ( ~( in @ X144 @ emptyset ) ) ) => 0.61/1.07 ( ( ![X146:( $i > $o )]: 0.61/1.07 ( ( ?[X148:$i]: 0.61/1.07 ( ( ![X150:$i]: 0.61/1.07 ( ( X146 @ X150 ) => 0.61/1.07 ( ( X148 ) = ( X150 ) ) ) ) & 0.61/1.07 ( X146 @ X148 ) ) ) => 0.61/1.07 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 0.61/1.07 ( ( ![X154:$i,X156:$i]: 0.61/1.07 ( ( ![X158:$i]: 0.61/1.07 ( ( in @ X158 @ X154 ) => 0.61/1.07 ( in @ X158 @ X156 ) ) ) => 0.61/1.07 ( ( ![X160:$i]: 0.61/1.07 ( ( in @ X160 @ X156 ) => 0.61/1.07 ( in @ X160 @ X154 ) ) ) => 0.61/1.07 ( ( X154 ) = ( X156 ) ) ) ) ) => 0.61/1.07 ( ( ![X162:$i]: 0.61/1.07 ( ( ![X164:$i]: 0.61/1.07 ( ~( in @ X164 @ X162 ) ) ) => 0.61/1.07 ( ( X162 ) = ( emptyset ) ) ) ) => 0.61/1.07 ( ( ![X166:$i]: 0.61/1.07 ( ( ![X168:$i]: 0.61/1.07 ( ~( in @ X168 @ X166 ) ) ) => 0.61/1.07 ( ( X166 ) = 0.61/1.07 ( emptyset ) ) ) ) => 0.61/1.07 ( ( ![X170:$i, 0.61/1.07 X172:( $i > $o ), 0.61/1.07 X174:$i]: 0.61/1.07 ( ( in @ X174 @ X170 ) => 0.61/1.07 ( ( in @ 0.61/1.07 X174 @ 0.61/1.07 ( dsetconstr @ 0.61/1.07 X170 @ 0.61/1.07 ( ^[V_5:$i]: 0.61/1.07 ( X172 @ V_5 ) ) ) ) <=> 0.61/1.07 ( X172 @ X174 ) ) ) ) => 0.61/1.07 ( ( ![X176:$i]: 0.61/1.07 ( ( ( X176 ) != 0.61/1.07 ( emptyset ) ) => 0.61/1.07 ( ?[X178:$i]: 0.61/1.07 ( in @ X178 @ X176 ) ) ) ) => 0.61/1.07 ( ( ![X180:$i, 0.61/1.07 X182:( $i > $o ), 0.61/1.07 X184:$i]: 0.61/1.07 ( ( in @ X184 @ X180 ) => 0.61/1.07 ( ( X182 @ X184 ) => 0.61/1.07 ( ( dsetconstr @ 0.61/1.07 X180 @ 0.61/1.07 ( ^[ 0.61/1.07 V_6:$i]: 0.61/1.07 ( 0.61/1.07 X182 @ V_6 ) ) ) != 0.61/1.07 ( emptyset ) ) ) ) ) => 0.61/1.07 ( ( ![X186:$i]: 0.61/1.07 ( ( ?[X188:$i]: 0.61/1.07 ( in @ 0.61/1.07 X188 @ X186 ) ) => 0.61/1.07 ( ( X186 ) != 0.61/1.07 ( emptyset ) ) ) ) => 0.61/1.07 ( ( ![X190:$i, 0.61/1.07 X192:$i]: 0.61/1.07 ( in @ 0.61/1.07 X190 @ 0.61/1.07 ( setadjoin @ 0.61/1.07 X190 @ X192 ) ) ) => 0.61/1.07 ( ( in @ 0.61/1.07 emptyset @ 0.61/1.07 ( setadjoin @ 0.61/1.07 emptyset @ 0.61/1.07 emptyset ) ) => 0.61/1.07 ( ( ![X194:$i, 0.61/1.07 X196:$i, 0.61/1.07 X198:$i]: 0.61/1.07 ( ( 0.61/1.07 in @ 0.61/1.07 X198 @ 0.61/1.07 X196 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X198 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X194 @ 0.61/1.07 X196 ) ) ) ) => 0.61/1.07 ( ( ![ 0.61/1.07 X200:$i, 0.61/1.07 X202:$i, 0.61/1.07 X204:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X204 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X200 @ 0.61/1.07 X202 ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X206:$o]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X204 ) = 0.61/1.07 ( 0.61/1.07 X200 ) ) => 0.61/1.07 ( 0.61/1.07 X206 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X204 @ 0.61/1.07 X202 ) => 0.61/1.07 ( 0.61/1.07 X206 ) ) => 0.61/1.07 ( 0.61/1.07 X206 ) ) ) ) ) ) => 0.61/1.07 ( ( 0.61/1.07 ![ 0.61/1.07 X208:$i, 0.61/1.07 X210:$i, 0.61/1.07 X212:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X212 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X208 @ 0.61/1.07 X210 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X212 ) = 0.61/1.07 ( 0.61/1.07 X208 ) ) | 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X212 @ 0.61/1.07 X210 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X214:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 dsetconstr 0.61/1.07 @ 0.61/1.07 X214 @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_7:$i]: 0.61/1.07 ( 0.61/1.07 $true ) ) ) = 0.61/1.07 ( 0.61/1.07 X214 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X216:$i, 0.61/1.07 X218:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X220:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X220 @ 0.61/1.07 X218 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X220 @ 0.61/1.07 X216 ) ) ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X218 @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X216 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X222:$i]: 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 emptyset @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X222 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X224:$i]: 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 emptyset @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X224 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X226:$i, 0.61/1.07 X228:$i, 0.61/1.07 X230:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X228 @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X226 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X230 @ 0.61/1.07 X228 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X230 @ 0.61/1.07 X226 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X232:$i, 0.61/1.07 X234:$i, 0.61/1.07 X236:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X234 @ 0.61/1.07 X236 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X236 @ 0.61/1.07 X232 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X234 @ 0.61/1.07 ( 0.61/1.07 setunion @ 0.61/1.07 X232 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X238:$i, 0.61/1.07 X240:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X240 @ 0.61/1.07 ( 0.61/1.07 setunion @ 0.61/1.07 X238 ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X242:$o]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X244:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X240 @ 0.61/1.07 X244 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X244 @ 0.61/1.07 X238 ) => 0.61/1.07 ( 0.61/1.07 X242 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 X242 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X246:$i, 0.61/1.07 X248:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X248 @ 0.61/1.07 X246 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X248 @ 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 ( 0.61/1.07 setunion @ 0.61/1.07 X246 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X250:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X252:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X254:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X250 @ 0.61/1.07 X254 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X252 ) = 0.61/1.07 ( 0.61/1.07 X254 ) ) ) ) & 0.61/1.07 ( 0.61/1.07 X250 @ 0.61/1.07 X252 ) ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X256:$i]: 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X258:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X250 @ 0.61/1.07 X258 ) <=> 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X258 ) = 0.61/1.07 ( 0.61/1.07 X256 ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X260:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X260 ) != 0.61/1.07 ( 0.61/1.07 emptyset ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X262:$i]: 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X262 @ 0.61/1.07 X260 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X264:$i, 0.61/1.07 X266:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X264 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X266 @ 0.61/1.07 emptyset ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X264 ) = 0.61/1.07 ( 0.61/1.07 X266 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X268:$i, 0.61/1.07 X270:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X268 ) != 0.61/1.07 ( 0.61/1.07 X270 ) ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 in @ 0.61/1.07 X270 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X268 @ 0.61/1.07 emptyset ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X272:$i, 0.61/1.07 X274:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X272 ) = 0.61/1.07 ( 0.61/1.07 X274 ) ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X272 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X274 @ 0.61/1.07 emptyset ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X276:$i, 0.61/1.07 X278:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X276 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X278 @ 0.61/1.07 emptyset ) ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X278 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X276 @ 0.61/1.07 emptyset ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X280:$i, 0.61/1.07 X282:$i, 0.61/1.07 X284:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X284 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X280 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X282 @ 0.61/1.07 emptyset ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X284 ) = 0.61/1.07 ( 0.61/1.07 X280 ) ) | 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X284 ) = 0.61/1.07 ( 0.61/1.07 X282 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X286:$i, 0.61/1.07 X288:$i]: 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X286 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X286 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X288 @ 0.61/1.07 emptyset ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X290:$i, 0.61/1.07 X292:$i]: 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X292 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X290 @ 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X292 @ 0.61/1.07 emptyset ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X294:$i, 0.61/1.07 X296:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X298:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X296 @ 0.61/1.07 X298 ) & 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X298 @ 0.61/1.07 X294 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 dsetconstr 0.61/1.07 @ 0.61/1.07 X294 @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_8:$i]: 0.61/1.07 ( 0.61/1.07 X296 @ V_8 ) ) ) != 0.61/1.07 ( 0.61/1.07 emptyset ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X300:( 0.61/1.07 $i > $o ), 0.61/1.07 X302:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X302 @ 0.61/1.07 emptyset ) => 0.61/1.07 ( 0.61/1.07 X300 @ 0.61/1.07 X302 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X304:$i, 0.61/1.07 X306:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 ![ 0.61/1.07 X308:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X308 @ 0.61/1.07 X304 ) => 0.61/1.07 ( 0.61/1.07 X306 @ 0.61/1.07 X308 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X310:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 X306 @ 0.61/1.07 X310 ) ) & 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X310 @ 0.61/1.07 X304 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X312:$i, 0.61/1.07 X314:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X316:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X316 @ 0.61/1.07 X312 ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 X314 @ 0.61/1.07 X316 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 ?[ 0.61/1.07 X318:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X314 @ 0.61/1.07 X318 ) & 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X318 @ 0.61/1.07 X312 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X320:$i, 0.61/1.07 X322:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 ?[ 0.61/1.07 X324:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X322 @ 0.61/1.07 X324 ) & 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X324 @ 0.61/1.07 X320 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X326:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X326 @ 0.61/1.07 X320 ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 X322 @ 0.61/1.07 X326 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X328:$i, 0.61/1.07 X330:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X332:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 X330 @ 0.61/1.07 X332 ) ) & 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X332 @ 0.61/1.07 X328 ) ) ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 ![ 0.61/1.07 X334:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X334 @ 0.61/1.07 X328 ) => 0.61/1.07 ( 0.61/1.07 X330 @ 0.61/1.07 X334 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X336:$o]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X336 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 emptyset @ 0.61/1.07 ( 0.61/1.07 prop2set @ 0.61/1.07 X336 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X338:$o]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X338 ) => 0.61/1.07 ( 0.61/1.07 set2prop @ 0.61/1.07 ( 0.61/1.07 prop2set @ 0.61/1.07 X338 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X340:$i, 0.61/1.07 X342:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 ?[ 0.61/1.07 X344:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X342 @ 0.61/1.07 X344 ) & 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X344 @ 0.61/1.07 X340 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X346:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X346 @ 0.61/1.07 X340 ) => 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 X342 @ 0.61/1.07 X346 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X348:$i, 0.61/1.07 X350:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 ![ 0.61/1.07 X352:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X352 @ 0.61/1.07 X348 ) => 0.61/1.07 ( 0.61/1.07 X350 @ 0.61/1.07 X352 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X354:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ~( 0.61/1.07 X350 @ 0.61/1.07 X354 ) ) & 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X354 @ 0.61/1.07 X348 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X356:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X358:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X360:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X356 @ 0.61/1.07 X360 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X358 ) = 0.61/1.07 ( 0.61/1.07 X360 ) ) ) ) & 0.61/1.07 ( 0.61/1.07 X356 @ 0.61/1.07 X358 ) ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X362:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X364:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X356 @ 0.61/1.07 X364 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X362 ) = 0.61/1.07 ( 0.61/1.07 X364 ) ) ) ) & 0.61/1.07 ( 0.61/1.07 X356 @ 0.61/1.07 X362 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X366:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X368:$i]: 0.61/1.07 ( 0.61/1.07 X366 @ 0.61/1.07 X368 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X370:$i, 0.61/1.07 X372:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X366 @ 0.61/1.07 X370 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X366 @ 0.61/1.07 X372 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X370 ) = 0.61/1.07 ( 0.61/1.07 X372 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X374:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X376:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X366 @ 0.61/1.07 X376 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X374 ) = 0.61/1.07 ( 0.61/1.07 X376 ) ) ) ) & 0.61/1.07 ( 0.61/1.07 X366 @ 0.61/1.07 X374 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X378:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X380:$i]: 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X382:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X378 @ 0.61/1.07 X382 ) <=> 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X382 ) = 0.61/1.07 ( 0.61/1.07 X380 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X384:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X386:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X378 @ 0.61/1.07 X386 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X384 ) = 0.61/1.07 ( 0.61/1.07 X386 ) ) ) ) & 0.61/1.07 ( 0.61/1.07 X378 @ 0.61/1.07 X384 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X388:$i, 0.61/1.07 X390:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X388 ) = 0.61/1.07 ( 0.61/1.07 X390 ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X392:$i, 0.61/1.07 X394:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X392 ) = 0.61/1.07 ( 0.61/1.07 X394 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X392 @ 0.61/1.07 X388 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X394 @ 0.61/1.07 X390 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X396:$i, 0.61/1.07 X398:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X396 ) = 0.61/1.07 ( 0.61/1.07 X398 ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X400:$i, 0.61/1.07 X402:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X400 ) = 0.61/1.07 ( 0.61/1.07 X402 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X400 @ 0.61/1.07 X396 ) <=> 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X402 @ 0.61/1.07 X398 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X404:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X406:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X408:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X404 @ 0.61/1.07 X408 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X406 ) = 0.61/1.07 ( 0.61/1.07 X408 ) ) ) ) & 0.61/1.07 ( 0.61/1.07 X404 @ 0.61/1.07 X406 ) ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X410:$i, 0.61/1.07 X412:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X404 @ 0.61/1.07 X410 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X404 @ 0.61/1.07 X412 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X410 ) = 0.61/1.07 ( 0.61/1.07 X412 ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X414:( 0.61/1.07 $i > $o ), 0.61/1.07 X416:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X418:$i, 0.61/1.07 X420:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X418 ) = 0.61/1.07 ( 0.61/1.07 X420 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X414 @ 0.61/1.07 X418 ) <=> 0.61/1.07 ( 0.61/1.07 X416 @ 0.61/1.07 X420 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X422:$i]: 0.61/1.07 ( 0.61/1.07 zip_tseitin_5 0.61/1.07 @ 0.61/1.07 X422 @ 0.61/1.07 X414 ) ) <=> 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X426:$i]: 0.61/1.07 ( 0.61/1.07 zip_tseitin_5 0.61/1.07 @ 0.61/1.07 X426 @ 0.61/1.07 X416 ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 emptyset ) = 0.61/1.07 ( 0.61/1.07 emptyset ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X430:$i, 0.61/1.07 X432:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X430 ) = 0.61/1.07 ( 0.61/1.07 X432 ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X434:$i, 0.61/1.07 X436:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X434 ) = 0.61/1.07 ( 0.61/1.07 X436 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X430 @ 0.61/1.07 X434 ) = 0.61/1.07 ( 0.61/1.07 setadjoin 0.61/1.07 @ 0.61/1.07 X432 @ 0.61/1.07 X436 ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X438:$i, 0.61/1.07 X440:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X438 ) = 0.61/1.07 ( 0.61/1.07 X440 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X438 ) = 0.61/1.07 ( 0.61/1.07 powerset @ 0.61/1.07 X440 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X442:$i, 0.61/1.07 X444:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X442 ) = 0.61/1.07 ( 0.61/1.07 X444 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 setunion @ 0.61/1.07 X442 ) = 0.61/1.07 ( 0.61/1.07 setunion @ 0.61/1.07 X444 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 omega ) = 0.61/1.07 ( 0.61/1.07 omega ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X446:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X448:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X450:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X446 @ 0.61/1.07 X450 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X448 ) = 0.61/1.07 ( 0.61/1.07 X450 ) ) ) ) & 0.61/1.07 ( 0.61/1.07 X446 @ 0.61/1.07 X448 ) ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X452:$i, 0.61/1.07 X454:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X446 @ 0.61/1.07 X452 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X446 @ 0.61/1.07 X454 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X452 ) = 0.61/1.07 ( 0.61/1.07 X454 ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X456:( 0.61/1.07 $i > $o ), 0.61/1.07 X458:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X460:$i, 0.61/1.07 X462:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X460 ) = 0.61/1.07 ( 0.61/1.07 X462 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X456 @ 0.61/1.07 X460 ) <=> 0.61/1.07 ( 0.61/1.07 X458 @ 0.61/1.07 X462 ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X464:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X466:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X456 @ 0.61/1.07 X466 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X464 ) = 0.61/1.07 ( 0.61/1.07 X466 ) ) ) ) & 0.61/1.07 ( 0.61/1.07 X456 @ 0.61/1.07 X464 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ?[ 0.61/1.07 X468:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X470:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X458 @ 0.61/1.07 X470 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X468 ) = 0.61/1.07 ( 0.61/1.07 X470 ) ) ) ) & 0.61/1.07 ( 0.61/1.07 X458 @ 0.61/1.07 X468 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 descr @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_9:$i]: 0.61/1.07 ( 0.61/1.07 X456 @ V_9 ) ) ) = 0.61/1.07 ( 0.61/1.07 descr @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_10:$i]: 0.61/1.07 ( 0.61/1.07 X458 @ 0.61/1.07 V_10 ) ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X472:$i, 0.61/1.07 X474:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X472 ) = 0.61/1.07 ( 0.61/1.07 X474 ) ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X476:( 0.61/1.07 $i > $o ), 0.61/1.07 X478:( 0.61/1.07 $i > $o )]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X480:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X480 @ 0.61/1.07 X472 ) => 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X482:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X482 @ 0.61/1.07 X474 ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X480 ) = 0.61/1.07 ( 0.61/1.07 X482 ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X476 @ 0.61/1.07 X480 ) <=> 0.61/1.07 ( 0.61/1.07 X478 @ 0.61/1.07 X482 ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 dsetconstr 0.61/1.07 @ 0.61/1.07 X472 @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_11:$i]: 0.61/1.07 ( 0.61/1.07 X476 @ 0.61/1.07 V_11 ) ) ) = 0.61/1.07 ( 0.61/1.07 dsetconstr 0.61/1.07 @ 0.61/1.07 X474 @ 0.61/1.07 ( 0.61/1.07 ^[ 0.61/1.07 V_12:$i]: 0.61/1.07 ( 0.61/1.07 X478 @ 0.61/1.07 V_12 ) ) ) ) ) ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X484:$i, 0.61/1.07 X486:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X488:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X488 @ 0.61/1.07 X484 ) => 0.61/1.07 ( 0.61/1.07 in @ 0.61/1.07 X488 @ 0.61/1.07 X486 ) ) ) => 0.61/1.07 ( 0.61/1.07 subset @ 0.61/1.07 X484 @ 0.61/1.07 X486 ) ) ) => 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ![ 0.61/1.07 X490:$i, 0.61/1.07 X492:$i]: 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 ( 0.61/1.07 X490 ) = 0.61/1.08 ( 0.61/1.08 X492 ) ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X492 @ 0.61/1.08 X490 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X494:$i, 0.61/1.08 X496:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X494 ) = 0.61/1.08 ( 0.61/1.08 X496 ) ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X494 @ 0.61/1.08 X496 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X498:$i, 0.61/1.08 X500:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X502:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X502 @ 0.61/1.08 X498 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X502 @ 0.61/1.08 X500 ) ) ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X498 @ 0.61/1.08 X500 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X504:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 emptyset @ 0.61/1.08 X504 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X506:$i, 0.61/1.08 X508:$i, 0.61/1.08 X510:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X506 @ 0.61/1.08 X508 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X510 @ 0.61/1.08 X506 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X510 @ 0.61/1.08 X508 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X512:$i, 0.61/1.08 X514:$i, 0.61/1.08 X516:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X512 @ 0.61/1.08 X514 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~( 0.61/1.08 in @ 0.61/1.08 X516 @ 0.61/1.08 X514 ) ) => 0.61/1.08 ( 0.61/1.08 ~( 0.61/1.08 in @ 0.61/1.08 X516 @ 0.61/1.08 X512 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X518:$i, 0.61/1.08 X520:$i, 0.61/1.08 X522:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X522 @ 0.61/1.08 X518 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~( 0.61/1.08 in @ 0.61/1.08 X522 @ 0.61/1.08 X520 ) ) => 0.61/1.08 ( 0.61/1.08 ~( 0.61/1.08 subset @ 0.61/1.08 X518 @ 0.61/1.08 X520 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X524:$i, 0.61/1.08 X526:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~( 0.61/1.08 subset @ 0.61/1.08 X524 @ 0.61/1.08 X526 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X524 ) != 0.61/1.08 ( 0.61/1.08 X526 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X528:$i, 0.61/1.08 X530:$i, 0.61/1.08 X532:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X532 @ 0.61/1.08 X528 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~( 0.61/1.08 in @ 0.61/1.08 X532 @ 0.61/1.08 X530 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X528 ) != 0.61/1.08 ( 0.61/1.08 X530 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X534:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X534 @ 0.61/1.08 X534 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X536:$i, 0.61/1.08 X538:$i, 0.61/1.08 X540:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X536 @ 0.61/1.08 X538 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X538 @ 0.61/1.08 X540 ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X536 @ 0.61/1.08 X540 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X542:$i, 0.61/1.08 X544:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X544 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X542 @ 0.61/1.08 X544 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X546:$i, 0.61/1.08 X548:$i, 0.61/1.08 X550:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X546 @ 0.61/1.08 X550 ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X546 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X548 @ 0.61/1.08 X550 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X552:$i, 0.61/1.08 X554:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X552 @ 0.61/1.08 X554 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X552 @ 0.61/1.08 ( 0.61/1.08 powerset @ 0.61/1.08 X554 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X556:$i, 0.61/1.08 X558:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X556 @ 0.61/1.08 X558 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X558 @ 0.61/1.08 X556 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X556 ) = 0.61/1.08 ( 0.61/1.08 X558 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X560:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X560 @ 0.61/1.08 emptyset ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X560 ) = 0.61/1.08 ( 0.61/1.08 emptyset ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X562:$i, 0.61/1.08 X564:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X564 @ 0.61/1.08 X562 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X564 @ 0.61/1.08 ( 0.61/1.08 powerset @ 0.61/1.08 X562 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X566:$i, 0.61/1.08 X568:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X568 @ 0.61/1.08 ( 0.61/1.08 powerset @ 0.61/1.08 X566 ) ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X568 @ 0.61/1.08 X566 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X570:$i]: 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X570 @ 0.61/1.08 ( 0.61/1.08 powerset @ 0.61/1.08 X570 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X572:$i, 0.61/1.08 X574:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X572 @ 0.61/1.08 X574 ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 ( 0.61/1.08 powerset @ 0.61/1.08 X572 ) @ 0.61/1.08 ( 0.61/1.08 powerset @ 0.61/1.08 X574 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X576:$i, 0.61/1.08 X578:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 ( 0.61/1.08 dsetconstr 0.61/1.08 @ 0.61/1.08 X576 @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_13:$i]: 0.61/1.08 ( 0.61/1.08 X578 @ 0.61/1.08 V_13 ) ) ) @ 0.61/1.08 ( 0.61/1.08 powerset @ 0.61/1.08 X576 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X580:$i, 0.61/1.08 X582:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 ( 0.61/1.08 dsetconstr 0.61/1.08 @ 0.61/1.08 X580 @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_14:$i]: 0.61/1.08 ( 0.61/1.08 X582 @ 0.61/1.08 V_14 ) ) ) @ 0.61/1.08 X580 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X584:$i, 0.61/1.08 X586:$i, 0.61/1.08 X588:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X588 @ 0.61/1.08 X584 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X588 @ 0.61/1.08 ( 0.61/1.08 binunion @ 0.61/1.08 X584 @ 0.61/1.08 X586 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X590:$i, 0.61/1.08 X592:$i]: 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X592 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X590 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X592 @ 0.61/1.08 emptyset ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X594:$i, 0.61/1.08 X596:$i, 0.61/1.08 X598:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X598 @ 0.61/1.08 X596 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X598 @ 0.61/1.08 ( 0.61/1.08 binunion @ 0.61/1.08 X594 @ 0.61/1.08 X596 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X600:$i, 0.61/1.08 X602:$i, 0.61/1.08 X604:$i, 0.61/1.08 X606:$o]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X604 @ 0.61/1.08 ( 0.61/1.08 binunion @ 0.61/1.08 X600 @ 0.61/1.08 X602 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X604 @ 0.61/1.08 X600 ) => 0.61/1.08 ( 0.61/1.08 X606 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X604 @ 0.61/1.08 X602 ) => 0.61/1.08 ( 0.61/1.08 X606 ) ) => 0.61/1.08 ( 0.61/1.08 X606 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X608:$i, 0.61/1.08 X610:$i, 0.61/1.08 X612:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X612 @ 0.61/1.08 ( 0.61/1.08 binunion @ 0.61/1.08 X608 @ 0.61/1.08 X610 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X612 @ 0.61/1.08 X608 ) | 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X612 @ 0.61/1.08 X610 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X614:$i, 0.61/1.08 X616:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X614 @ 0.61/1.08 ( 0.61/1.08 binunion @ 0.61/1.08 X614 @ 0.61/1.08 X616 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X618:$i, 0.61/1.08 X620:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X620 @ 0.61/1.08 ( 0.61/1.08 binunion @ 0.61/1.08 X618 @ 0.61/1.08 X620 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X622:$i, 0.61/1.08 X624:$i, 0.61/1.08 X626:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X626 @ 0.61/1.08 X622 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X626 @ 0.61/1.08 X624 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X626 @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X622 @ 0.61/1.08 X624 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X628:$i, 0.61/1.08 X630:$i, 0.61/1.08 X632:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X632 @ 0.61/1.08 X628 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X632 @ 0.61/1.08 X630 ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X632 @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X628 @ 0.61/1.08 X630 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X634:$i, 0.61/1.08 X636:$i, 0.61/1.08 X638:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X638 @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X634 @ 0.61/1.08 X636 ) ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X638 @ 0.61/1.08 X634 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X640:$i, 0.61/1.08 X642:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X640 @ 0.61/1.08 X642 ) @ 0.61/1.08 X640 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X644:$i, 0.61/1.08 X646:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X644 @ 0.61/1.08 X646 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X644 @ 0.61/1.08 X646 ) = 0.61/1.08 ( 0.61/1.08 X644 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X648:$i, 0.61/1.08 X650:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X648 @ 0.61/1.08 X650 ) = 0.61/1.08 ( 0.61/1.08 X650 ) ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X650 @ 0.61/1.08 X648 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X652:$i, 0.61/1.08 X654:$i, 0.61/1.08 X656:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X656 @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X652 @ 0.61/1.08 X654 ) ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X656 @ 0.61/1.08 X654 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X658:$i, 0.61/1.08 X660:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~( 0.61/1.08 ?[ 0.61/1.08 X662:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X662 @ 0.61/1.08 X660 ) & 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X662 @ 0.61/1.08 X658 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X658 @ 0.61/1.08 X660 ) = 0.61/1.08 ( 0.61/1.08 emptyset ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X664:$i, 0.61/1.08 X666:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X664 @ 0.61/1.08 X666 ) @ 0.61/1.08 X666 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X668:$i, 0.61/1.08 X670:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X670 @ 0.61/1.08 X668 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X668 @ 0.61/1.08 X670 ) = 0.61/1.08 ( 0.61/1.08 X670 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X672:$i, 0.61/1.08 X674:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X672 @ 0.61/1.08 X674 ) = 0.61/1.08 ( 0.61/1.08 X672 ) ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X672 @ 0.61/1.08 X674 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X676:$i, 0.61/1.08 X678:$i, 0.61/1.08 X680:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X676 @ 0.61/1.08 ( 0.61/1.08 binunion @ 0.61/1.08 X678 @ 0.61/1.08 X680 ) ) = 0.61/1.08 ( 0.61/1.08 binunion @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X676 @ 0.61/1.08 X678 ) @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X676 @ 0.61/1.08 X680 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X682:$i, 0.61/1.08 X684:$i, 0.61/1.08 X686:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X686 @ 0.61/1.08 X682 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~( 0.61/1.08 in @ 0.61/1.08 X686 @ 0.61/1.08 X684 ) ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X686 @ 0.61/1.08 ( 0.61/1.08 dsetconstr 0.61/1.08 @ 0.61/1.08 X682 @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_15:$i]: 0.61/1.08 ( 0.61/1.08 ~( 0.61/1.08 in @ 0.61/1.08 V_15 @ 0.61/1.08 X684 ) ) ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X688:$i, 0.61/1.08 X690:$i, 0.61/1.08 X692:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X692 @ 0.61/1.08 ( 0.61/1.08 dsetconstr 0.61/1.08 @ 0.61/1.08 X688 @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_16:$i]: 0.61/1.08 ( 0.61/1.08 ~( 0.61/1.08 in @ 0.61/1.08 V_16 @ 0.61/1.08 X690 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X692 @ 0.61/1.08 X688 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 0.61/1.08 thf(zf_stmt_14, negated_conjecture, 0.61/1.08 (~( ( ![X4:$i,X6:$i]: 0.61/1.08 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 0.61/1.08 ( ( X4 ) = ( X6 ) ) ) ) => 0.61/1.08 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 0.61/1.08 ( ( ![X12:$i,X14:$i,X16:$i]: 0.61/1.08 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 0.61/1.08 ( zip_tseitin_0 @ X16 @ X14 @ X12 ) ) ) => 0.61/1.08 ( ( ![X18:$i,X20:$i]: 0.61/1.08 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 0.61/1.08 ( ![X22:$i]: ( zip_tseitin_1 @ X22 @ X20 @ X18 ) ) ) ) => 0.61/1.08 ( ( ![X24:$i,X26:$i]: 0.61/1.08 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 0.61/1.08 ( ?[X28:$i]: ( zip_tseitin_2 @ X28 @ X26 @ X24 ) ) ) ) => 0.61/1.08 ( ( in @ emptyset @ omega ) => 0.61/1.08 ( ( ![X30:$i]: 0.61/1.08 ( ( in @ X30 @ omega ) => 0.61/1.08 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 0.61/1.08 ( ( ![X32:$i]: 0.61/1.08 ( ( ( in @ emptyset @ X32 ) & 0.61/1.08 ( ![X34:$i]: 0.61/1.08 ( ( ( in @ X34 @ omega ) & ( in @ X34 @ X32 ) ) => 0.61/1.08 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) ) => 0.61/1.08 ( ![X36:$i]: 0.61/1.08 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 0.61/1.08 ( ( ![X38:( $i > $i > $o ),X40:$i]: 0.61/1.08 ( ( ![X42:$i]: 0.61/1.08 ( ( in @ X42 @ X40 ) => 0.61/1.08 ( ?[X44:$i]: 0.61/1.08 ( ( ![X46:$i]: 0.61/1.08 ( ( X38 @ X42 @ X46 ) => 0.61/1.08 ( ( X44 ) = ( X46 ) ) ) ) & 0.61/1.08 ( X38 @ X42 @ X44 ) ) ) ) ) => 0.61/1.08 ( ?[X48:$i]: 0.61/1.08 ( ![X50:$i]: 0.61/1.08 ( ( in @ X50 @ X48 ) <=> 0.61/1.08 ( ?[X52:$i]: 0.61/1.08 ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) ) ) ) ) ) ) => 0.61/1.08 ( ( ![X54:$i]: 0.61/1.08 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 0.61/1.08 ( ?[X58:$i]: 0.61/1.08 ( ( ~( ?[X60:$i]: 0.61/1.08 ( ( in @ X60 @ X54 ) & 0.61/1.08 ( in @ X60 @ X58 ) ) ) ) & 0.61/1.08 ( in @ X58 @ X54 ) ) ) ) ) => 0.61/1.08 ( ( ![X62:$i]: 0.61/1.08 ( ?[X64:$i]: 0.61/1.08 ( ( ![X66:$i]: 0.61/1.08 ( ( ( ![X68:$i]: 0.61/1.08 ( ( in @ X68 @ X66 ) => 0.61/1.08 ( in @ X68 @ X62 ) ) ) & 0.61/1.08 ( ?[X70:$i]: ( in @ X70 @ X66 ) ) ) => 0.61/1.08 ( ?[X72:$i,X74:$i]: 0.61/1.08 ( ( ![X76:$i]: 0.61/1.08 ( ( in @ X76 @ X64 ) => 0.61/1.08 ( ( ![X78:$i]: 0.61/1.08 ( ( in @ X78 @ X76 ) => 0.61/1.08 ( in @ X78 @ X72 ) ) ) | 0.61/1.08 ( in @ X74 @ X76 ) ) ) ) & 0.61/1.08 ( ~( ?[X80:$i]: 0.61/1.08 ( ( in @ X80 @ X66 ) & 0.61/1.08 ( in @ X80 @ X72 ) ) ) ) & 0.61/1.08 ( in @ X74 @ X66 ) & 0.61/1.08 ( in @ X72 @ X64 ) ) ) ) ) & 0.61/1.08 ( ![X82:$i,X84:$i]: 0.61/1.08 ( ( ( in @ X82 @ X64 ) & ( in @ X84 @ X64 ) ) => 0.61/1.08 ( ( ![X86:$i]: 0.61/1.08 ( ( in @ X86 @ X82 ) => 0.61/1.08 ( in @ X86 @ X84 ) ) ) | 0.61/1.08 ( ![X88:$i]: 0.61/1.08 ( ( in @ X88 @ X84 ) => 0.61/1.08 ( in @ X88 @ X82 ) ) ) ) ) ) & 0.61/1.08 ( ![X90:$i,X92:$i]: 0.61/1.08 ( ( ( in @ X90 @ X62 ) & ( in @ X92 @ X62 ) ) => 0.61/1.08 ( ( ![X94:$i]: 0.61/1.08 ( ( in @ X94 @ X64 ) => 0.61/1.08 ( ( in @ X90 @ X94 ) <=> 0.61/1.08 ( in @ X92 @ X94 ) ) ) ) => 0.61/1.08 ( ( X90 ) = ( X92 ) ) ) ) ) & 0.61/1.08 ( ![X96:$i]: 0.61/1.08 ( ( in @ X96 @ X64 ) => 0.61/1.08 ( ![X98:$i]: 0.61/1.08 ( ( in @ X98 @ X96 ) => 0.61/1.08 ( in @ X98 @ X62 ) ) ) ) ) ) ) ) => 0.61/1.08 ( ( ![X100:( $i > $o )]: 0.61/1.08 ( ( ?[X102:$i]: 0.61/1.08 ( ( ![X104:$i]: 0.61/1.08 ( ( X100 @ X104 ) => 0.61/1.08 ( ( X102 ) = ( X104 ) ) ) ) & 0.61/1.08 ( X100 @ X102 ) ) ) => 0.61/1.08 ( X100 @ 0.61/1.08 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 0.61/1.08 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 0.61/1.08 ( ( in @ X110 @ X106 ) => 0.61/1.08 ( ( X108 @ X110 ) => 0.61/1.08 ( in @ 0.61/1.08 X110 @ 0.61/1.08 ( dsetconstr @ 0.61/1.08 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 0.61/1.08 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 0.61/1.08 ( ( in @ 0.61/1.08 X116 @ 0.61/1.08 ( dsetconstr @ 0.61/1.08 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 0.61/1.08 ( in @ X116 @ X112 ) ) ) => 0.61/1.08 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 0.61/1.08 ( ( in @ 0.61/1.08 X122 @ 0.61/1.08 ( dsetconstr @ 0.61/1.08 X118 @ 0.61/1.08 ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 0.61/1.08 ( X120 @ X122 ) ) ) => 0.61/1.08 ( ( ![X124:( $i > $o )]: 0.61/1.08 ( ( ?[X126:$i]: 0.61/1.08 ( ( ![X128:$i]: 0.61/1.08 ( ( X124 @ X128 ) => 0.61/1.08 ( ( X126 ) = ( X128 ) ) ) ) & 0.61/1.08 ( X124 @ X126 ) ) ) => 0.61/1.08 ( ?[X130:$i]: 0.61/1.08 ( ( ![X132:$i]: 0.61/1.08 ( ( X124 @ X132 ) => 0.61/1.08 ( ( X130 ) = ( X132 ) ) ) ) & 0.61/1.08 ( X124 @ X130 ) ) ) ) ) => 0.61/1.08 ( ( ![X134:$o,X136:$i]: 0.61/1.08 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 0.61/1.08 ( X134 ) ) ) => 0.61/1.08 ( ( ![X138:$i]: 0.61/1.08 ( ( in @ X138 @ emptyset ) => 0.61/1.08 ( ![X140:$o]: ( X140 ) ) ) ) => 0.61/1.08 ( ( ![X142:$i]: 0.61/1.08 ( ~( in @ X142 @ emptyset ) ) ) => 0.61/1.08 ( ( ![X144:$i]: 0.61/1.08 ( ~( in @ X144 @ emptyset ) ) ) => 0.61/1.08 ( ( ![X146:( $i > $o )]: 0.61/1.08 ( ( ?[X148:$i]: 0.61/1.08 ( ( ![X150:$i]: 0.61/1.08 ( ( X146 @ X150 ) => 0.61/1.08 ( ( X148 ) = 0.61/1.08 ( X150 ) ) ) ) & 0.61/1.08 ( X146 @ X148 ) ) ) => 0.61/1.08 ( ?[X152:$i]: 0.61/1.08 ( X146 @ X152 ) ) ) ) => 0.61/1.08 ( ( ![X154:$i,X156:$i]: 0.61/1.08 ( ( ![X158:$i]: 0.61/1.08 ( ( in @ X158 @ X154 ) => 0.61/1.08 ( in @ X158 @ X156 ) ) ) => 0.61/1.08 ( ( ![X160:$i]: 0.61/1.08 ( ( in @ X160 @ X156 ) => 0.61/1.08 ( in @ X160 @ X154 ) ) ) => 0.61/1.08 ( ( X154 ) = ( X156 ) ) ) ) ) => 0.61/1.08 ( ( ![X162:$i]: 0.61/1.08 ( ( ![X164:$i]: 0.61/1.08 ( ~( in @ X164 @ X162 ) ) ) => 0.61/1.08 ( ( X162 ) = 0.61/1.08 ( emptyset ) ) ) ) => 0.61/1.08 ( ( ![X166:$i]: 0.61/1.08 ( ( ![X168:$i]: 0.61/1.08 ( ~( in @ 0.61/1.08 X168 @ X166 ) ) ) => 0.61/1.08 ( ( X166 ) = 0.61/1.08 ( emptyset ) ) ) ) => 0.61/1.08 ( ( ![X170:$i, 0.61/1.08 X172:( $i > $o ), 0.61/1.08 X174:$i]: 0.61/1.08 ( ( in @ X174 @ X170 ) => 0.61/1.08 ( ( in @ 0.61/1.08 X174 @ 0.61/1.08 ( dsetconstr @ 0.61/1.08 X170 @ 0.61/1.08 ( ^[V_5:$i]: 0.61/1.08 ( X172 @ 0.61/1.08 V_5 ) ) ) ) <=> 0.61/1.08 ( X172 @ X174 ) ) ) ) => 0.61/1.08 ( ( ![X176:$i]: 0.61/1.08 ( ( ( X176 ) != 0.61/1.08 ( emptyset ) ) => 0.61/1.08 ( ?[X178:$i]: 0.61/1.08 ( in @ 0.61/1.08 X178 @ X176 ) ) ) ) => 0.61/1.08 ( ( ![X180:$i, 0.61/1.08 X182:( 0.61/1.08 $i > $o ), 0.61/1.08 X184:$i]: 0.61/1.08 ( ( in @ 0.61/1.08 X184 @ X180 ) => 0.61/1.08 ( ( X182 @ X184 ) => 0.61/1.08 ( ( dsetconstr 0.61/1.08 @ 0.61/1.08 X180 @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_6:$i]: 0.61/1.08 ( 0.61/1.08 X182 @ 0.61/1.08 V_6 ) ) ) != 0.61/1.08 ( emptyset ) ) ) ) ) => 0.61/1.08 ( ( ![X186:$i]: 0.61/1.08 ( ( ?[X188:$i]: 0.61/1.08 ( in @ 0.61/1.08 X188 @ 0.61/1.08 X186 ) ) => 0.61/1.08 ( ( X186 ) != 0.61/1.08 ( emptyset ) ) ) ) => 0.61/1.08 ( ( ![X190:$i, 0.61/1.08 X192:$i]: 0.61/1.08 ( in @ 0.61/1.08 X190 @ 0.61/1.08 ( setadjoin 0.61/1.08 @ 0.61/1.08 X190 @ 0.61/1.08 X192 ) ) ) => 0.61/1.08 ( ( in @ 0.61/1.08 emptyset @ 0.61/1.08 ( setadjoin 0.61/1.08 @ 0.61/1.08 emptyset @ 0.61/1.08 emptyset ) ) => 0.61/1.08 ( ( ![ 0.61/1.08 X194:$i, 0.61/1.08 X196:$i, 0.61/1.08 X198:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X198 @ 0.61/1.08 X196 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X198 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X194 @ 0.61/1.08 X196 ) ) ) ) => 0.61/1.08 ( ( 0.61/1.08 ![ 0.61/1.08 X200:$i, 0.61/1.08 X202:$i, 0.61/1.08 X204:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X204 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X200 @ 0.61/1.08 X202 ) ) => 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X206:$o]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X204 ) = 0.61/1.08 ( 0.61/1.08 X200 ) ) => 0.61/1.08 ( 0.61/1.08 X206 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X204 @ 0.61/1.08 X202 ) => 0.61/1.08 ( 0.61/1.08 X206 ) ) => 0.61/1.08 ( 0.61/1.08 X206 ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X208:$i, 0.61/1.08 X210:$i, 0.61/1.08 X212:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X212 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X208 @ 0.61/1.08 X210 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X212 ) = 0.61/1.08 ( 0.61/1.08 X208 ) ) | 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X212 @ 0.61/1.08 X210 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X214:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 dsetconstr 0.61/1.08 @ 0.61/1.08 X214 @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_7:$i]: 0.61/1.08 ( 0.61/1.08 $true ) ) ) = 0.61/1.08 ( 0.61/1.08 X214 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X216:$i, 0.61/1.08 X218:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X220:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X220 @ 0.61/1.08 X218 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X220 @ 0.61/1.08 X216 ) ) ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X218 @ 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 X216 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X222:$i]: 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 emptyset @ 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 X222 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X224:$i]: 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 emptyset @ 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 X224 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X226:$i, 0.61/1.08 X228:$i, 0.61/1.08 X230:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X228 @ 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 X226 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X230 @ 0.61/1.08 X228 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X230 @ 0.61/1.08 X226 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X232:$i, 0.61/1.08 X234:$i, 0.61/1.08 X236:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X234 @ 0.61/1.08 X236 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X236 @ 0.61/1.08 X232 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X234 @ 0.61/1.08 ( 0.61/1.08 setunion 0.61/1.08 @ 0.61/1.08 X232 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X238:$i, 0.61/1.08 X240:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X240 @ 0.61/1.08 ( 0.61/1.08 setunion 0.61/1.08 @ 0.61/1.08 X238 ) ) => 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X242:$o]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X244:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X240 @ 0.61/1.08 X244 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X244 @ 0.61/1.08 X238 ) => 0.61/1.08 ( 0.61/1.08 X242 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 X242 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X246:$i, 0.61/1.08 X248:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X248 @ 0.61/1.08 X246 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X248 @ 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 ( 0.61/1.08 setunion 0.61/1.08 @ 0.61/1.08 X246 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X250:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X252:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X254:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X250 @ 0.61/1.08 X254 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X252 ) = 0.61/1.08 ( 0.61/1.08 X254 ) ) ) ) & 0.61/1.08 ( 0.61/1.08 X250 @ 0.61/1.08 X252 ) ) ) => 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X256:$i]: 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X258:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X250 @ 0.61/1.08 X258 ) <=> 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X258 ) = 0.61/1.08 ( 0.61/1.08 X256 ) ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X260:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X260 ) != 0.61/1.08 ( 0.61/1.08 emptyset ) ) => 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X262:$i]: 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X262 @ 0.61/1.08 X260 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X264:$i, 0.61/1.08 X266:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X264 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X266 @ 0.61/1.08 emptyset ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X264 ) = 0.61/1.08 ( 0.61/1.08 X266 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X268:$i, 0.61/1.08 X270:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X268 ) != 0.61/1.08 ( 0.61/1.08 X270 ) ) => 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X270 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X268 @ 0.61/1.08 emptyset ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X272:$i, 0.61/1.08 X274:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X272 ) = 0.61/1.08 ( 0.61/1.08 X274 ) ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X272 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X274 @ 0.61/1.08 emptyset ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X276:$i, 0.61/1.08 X278:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X276 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X278 @ 0.61/1.08 emptyset ) ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X278 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X276 @ 0.61/1.08 emptyset ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X280:$i, 0.61/1.08 X282:$i, 0.61/1.08 X284:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X284 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X280 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X282 @ 0.61/1.08 emptyset ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X284 ) = 0.61/1.08 ( 0.61/1.08 X280 ) ) | 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X284 ) = 0.61/1.08 ( 0.61/1.08 X282 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X286:$i, 0.61/1.08 X288:$i]: 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X286 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X286 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X288 @ 0.61/1.08 emptyset ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X290:$i, 0.61/1.08 X292:$i]: 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X292 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X290 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X292 @ 0.61/1.08 emptyset ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X294:$i, 0.61/1.08 X296:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X298:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X296 @ 0.61/1.08 X298 ) & 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X298 @ 0.61/1.08 X294 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 dsetconstr 0.61/1.08 @ 0.61/1.08 X294 @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_8:$i]: 0.61/1.08 ( 0.61/1.08 X296 @ 0.61/1.08 V_8 ) ) ) != 0.61/1.08 ( 0.61/1.08 emptyset ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X300:( 0.61/1.08 $i > $o ), 0.61/1.08 X302:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X302 @ 0.61/1.08 emptyset ) => 0.61/1.08 ( 0.61/1.08 X300 @ 0.61/1.08 X302 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X304:$i, 0.61/1.08 X306:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X308:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X308 @ 0.61/1.08 X304 ) => 0.61/1.08 ( 0.61/1.08 X306 @ 0.61/1.08 X308 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X310:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 X306 @ 0.61/1.08 X310 ) ) & 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X310 @ 0.61/1.08 X304 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X312:$i, 0.61/1.08 X314:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X316:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X316 @ 0.61/1.08 X312 ) => 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 X314 @ 0.61/1.08 X316 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X318:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X314 @ 0.61/1.08 X318 ) & 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X318 @ 0.61/1.08 X312 ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X320:$i, 0.61/1.08 X322:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X324:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X322 @ 0.61/1.08 X324 ) & 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X324 @ 0.61/1.08 X320 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X326:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X326 @ 0.61/1.08 X320 ) => 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 X322 @ 0.61/1.08 X326 ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X328:$i, 0.61/1.08 X330:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X332:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 X330 @ 0.61/1.08 X332 ) ) & 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X332 @ 0.61/1.08 X328 ) ) ) => 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X334:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X334 @ 0.61/1.08 X328 ) => 0.61/1.08 ( 0.61/1.08 X330 @ 0.61/1.08 X334 ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X336:$o]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X336 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 emptyset @ 0.61/1.08 ( 0.61/1.08 prop2set 0.61/1.08 @ 0.61/1.08 X336 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X338:$o]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X338 ) => 0.61/1.08 ( 0.61/1.08 set2prop 0.61/1.08 @ 0.61/1.08 ( 0.61/1.08 prop2set 0.61/1.08 @ 0.61/1.08 X338 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X340:$i, 0.61/1.08 X342:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X344:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X342 @ 0.61/1.08 X344 ) & 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X344 @ 0.61/1.08 X340 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X346:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X346 @ 0.61/1.08 X340 ) => 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 X342 @ 0.61/1.08 X346 ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X348:$i, 0.61/1.08 X350:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X352:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X352 @ 0.61/1.08 X348 ) => 0.61/1.08 ( 0.61/1.08 X350 @ 0.61/1.08 X352 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X354:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 X350 @ 0.61/1.08 X354 ) ) & 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X354 @ 0.61/1.08 X348 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X356:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X358:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X360:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X356 @ 0.61/1.08 X360 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X358 ) = 0.61/1.08 ( 0.61/1.08 X360 ) ) ) ) & 0.61/1.08 ( 0.61/1.08 X356 @ 0.61/1.08 X358 ) ) ) => 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X362:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X364:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X356 @ 0.61/1.08 X364 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X362 ) = 0.61/1.08 ( 0.61/1.08 X364 ) ) ) ) & 0.61/1.08 ( 0.61/1.08 X356 @ 0.61/1.08 X362 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X366:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X368:$i]: 0.61/1.08 ( 0.61/1.08 X366 @ 0.61/1.08 X368 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X370:$i, 0.61/1.08 X372:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X366 @ 0.61/1.08 X370 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X366 @ 0.61/1.08 X372 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X370 ) = 0.61/1.08 ( 0.61/1.08 X372 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X374:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X376:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X366 @ 0.61/1.08 X376 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X374 ) = 0.61/1.08 ( 0.61/1.08 X376 ) ) ) ) & 0.61/1.08 ( 0.61/1.08 X366 @ 0.61/1.08 X374 ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X378:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X380:$i]: 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X382:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X378 @ 0.61/1.08 X382 ) <=> 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X382 ) = 0.61/1.08 ( 0.61/1.08 X380 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X384:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X386:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X378 @ 0.61/1.08 X386 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X384 ) = 0.61/1.08 ( 0.61/1.08 X386 ) ) ) ) & 0.61/1.08 ( 0.61/1.08 X378 @ 0.61/1.08 X384 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X388:$i, 0.61/1.08 X390:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X388 ) = 0.61/1.08 ( 0.61/1.08 X390 ) ) => 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X392:$i, 0.61/1.08 X394:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X392 ) = 0.61/1.08 ( 0.61/1.08 X394 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X392 @ 0.61/1.08 X388 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X394 @ 0.61/1.08 X390 ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X396:$i, 0.61/1.08 X398:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X396 ) = 0.61/1.08 ( 0.61/1.08 X398 ) ) => 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X400:$i, 0.61/1.08 X402:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X400 ) = 0.61/1.08 ( 0.61/1.08 X402 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X400 @ 0.61/1.08 X396 ) <=> 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X402 @ 0.61/1.08 X398 ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X404:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X406:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X408:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X404 @ 0.61/1.08 X408 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X406 ) = 0.61/1.08 ( 0.61/1.08 X408 ) ) ) ) & 0.61/1.08 ( 0.61/1.08 X404 @ 0.61/1.08 X406 ) ) ) => 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X410:$i, 0.61/1.08 X412:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X404 @ 0.61/1.08 X410 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X404 @ 0.61/1.08 X412 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X410 ) = 0.61/1.08 ( 0.61/1.08 X412 ) ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X414:( 0.61/1.08 $i > $o ), 0.61/1.08 X416:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X418:$i, 0.61/1.08 X420:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X418 ) = 0.61/1.08 ( 0.61/1.08 X420 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X414 @ 0.61/1.08 X418 ) <=> 0.61/1.08 ( 0.61/1.08 X416 @ 0.61/1.08 X420 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X422:$i]: 0.61/1.08 ( 0.61/1.08 zip_tseitin_5 0.61/1.08 @ 0.61/1.08 X422 @ 0.61/1.08 X414 ) ) <=> 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X426:$i]: 0.61/1.08 ( 0.61/1.08 zip_tseitin_5 0.61/1.08 @ 0.61/1.08 X426 @ 0.61/1.08 X416 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 emptyset ) = 0.61/1.08 ( 0.61/1.08 emptyset ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X430:$i, 0.61/1.08 X432:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X430 ) = 0.61/1.08 ( 0.61/1.08 X432 ) ) => 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X434:$i, 0.61/1.08 X436:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X434 ) = 0.61/1.08 ( 0.61/1.08 X436 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X430 @ 0.61/1.08 X434 ) = 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X432 @ 0.61/1.08 X436 ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X438:$i, 0.61/1.08 X440:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X438 ) = 0.61/1.08 ( 0.61/1.08 X440 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 X438 ) = 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 X440 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X442:$i, 0.61/1.08 X444:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X442 ) = 0.61/1.08 ( 0.61/1.08 X444 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 setunion 0.61/1.08 @ 0.61/1.08 X442 ) = 0.61/1.08 ( 0.61/1.08 setunion 0.61/1.08 @ 0.61/1.08 X444 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 omega ) = 0.61/1.08 ( 0.61/1.08 omega ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X446:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X448:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X450:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X446 @ 0.61/1.08 X450 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X448 ) = 0.61/1.08 ( 0.61/1.08 X450 ) ) ) ) & 0.61/1.08 ( 0.61/1.08 X446 @ 0.61/1.08 X448 ) ) ) => 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X452:$i, 0.61/1.08 X454:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X446 @ 0.61/1.08 X452 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X446 @ 0.61/1.08 X454 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X452 ) = 0.61/1.08 ( 0.61/1.08 X454 ) ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X456:( 0.61/1.08 $i > $o ), 0.61/1.08 X458:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X460:$i, 0.61/1.08 X462:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X460 ) = 0.61/1.08 ( 0.61/1.08 X462 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X456 @ 0.61/1.08 X460 ) <=> 0.61/1.08 ( 0.61/1.08 X458 @ 0.61/1.08 X462 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X464:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X466:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X456 @ 0.61/1.08 X466 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X464 ) = 0.61/1.08 ( 0.61/1.08 X466 ) ) ) ) & 0.61/1.08 ( 0.61/1.08 X456 @ 0.61/1.08 X464 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X468:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X470:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X458 @ 0.61/1.08 X470 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X468 ) = 0.61/1.08 ( 0.61/1.08 X470 ) ) ) ) & 0.61/1.08 ( 0.61/1.08 X458 @ 0.61/1.08 X468 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 descr @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_9:$i]: 0.61/1.08 ( 0.61/1.08 X456 @ 0.61/1.08 V_9 ) ) ) = 0.61/1.08 ( 0.61/1.08 descr @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_10:$i]: 0.61/1.08 ( 0.61/1.08 X458 @ 0.61/1.08 V_10 ) ) ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X472:$i, 0.61/1.08 X474:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X472 ) = 0.61/1.08 ( 0.61/1.08 X474 ) ) => 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X476:( 0.61/1.08 $i > $o ), 0.61/1.08 X478:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X480:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X480 @ 0.61/1.08 X472 ) => 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X482:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X482 @ 0.61/1.08 X474 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X480 ) = 0.61/1.08 ( 0.61/1.08 X482 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X476 @ 0.61/1.08 X480 ) <=> 0.61/1.08 ( 0.61/1.08 X478 @ 0.61/1.08 X482 ) ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 dsetconstr 0.61/1.08 @ 0.61/1.08 X472 @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_11:$i]: 0.61/1.08 ( 0.61/1.08 X476 @ 0.61/1.08 V_11 ) ) ) = 0.61/1.08 ( 0.61/1.08 dsetconstr 0.61/1.08 @ 0.61/1.08 X474 @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_12:$i]: 0.61/1.08 ( 0.61/1.08 X478 @ 0.61/1.08 V_12 ) ) ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X484:$i, 0.61/1.08 X486:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X488:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X488 @ 0.61/1.08 X484 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X488 @ 0.61/1.08 X486 ) ) ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X484 @ 0.61/1.08 X486 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X490:$i, 0.61/1.08 X492:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X490 ) = 0.61/1.08 ( 0.61/1.08 X492 ) ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X492 @ 0.61/1.08 X490 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X494:$i, 0.61/1.08 X496:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X494 ) = 0.61/1.08 ( 0.61/1.08 X496 ) ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X494 @ 0.61/1.08 X496 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X498:$i, 0.61/1.08 X500:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X502:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X502 @ 0.61/1.08 X498 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X502 @ 0.61/1.08 X500 ) ) ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X498 @ 0.61/1.08 X500 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X504:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 emptyset @ 0.61/1.08 X504 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X506:$i, 0.61/1.08 X508:$i, 0.61/1.08 X510:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X506 @ 0.61/1.08 X508 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X510 @ 0.61/1.08 X506 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X510 @ 0.61/1.08 X508 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X512:$i, 0.61/1.08 X514:$i, 0.61/1.08 X516:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X512 @ 0.61/1.08 X514 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X516 @ 0.61/1.08 X514 ) ) => 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X516 @ 0.61/1.08 X512 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X518:$i, 0.61/1.08 X520:$i, 0.61/1.08 X522:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X522 @ 0.61/1.08 X518 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X522 @ 0.61/1.08 X520 ) ) => 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X518 @ 0.61/1.08 X520 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X524:$i, 0.61/1.08 X526:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X524 @ 0.61/1.08 X526 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X524 ) != 0.61/1.08 ( 0.61/1.08 X526 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X528:$i, 0.61/1.08 X530:$i, 0.61/1.08 X532:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X532 @ 0.61/1.08 X528 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X532 @ 0.61/1.08 X530 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X528 ) != 0.61/1.08 ( 0.61/1.08 X530 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X534:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X534 @ 0.61/1.08 X534 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X536:$i, 0.61/1.08 X538:$i, 0.61/1.08 X540:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X536 @ 0.61/1.08 X538 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X538 @ 0.61/1.08 X540 ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X536 @ 0.61/1.08 X540 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X542:$i, 0.61/1.08 X544:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X544 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X542 @ 0.61/1.08 X544 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X546:$i, 0.61/1.08 X548:$i, 0.61/1.08 X550:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X546 @ 0.61/1.08 X550 ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X546 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X548 @ 0.61/1.08 X550 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X552:$i, 0.61/1.08 X554:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X552 @ 0.61/1.08 X554 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X552 @ 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 X554 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X556:$i, 0.61/1.08 X558:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X556 @ 0.61/1.08 X558 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X558 @ 0.61/1.08 X556 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X556 ) = 0.61/1.08 ( 0.61/1.08 X558 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X560:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X560 @ 0.61/1.08 emptyset ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 X560 ) = 0.61/1.08 ( 0.61/1.08 emptyset ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X562:$i, 0.61/1.08 X564:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X564 @ 0.61/1.08 X562 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X564 @ 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 X562 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X566:$i, 0.61/1.08 X568:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X568 @ 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 X566 ) ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X568 @ 0.61/1.08 X566 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X570:$i]: 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X570 @ 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 X570 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X572:$i, 0.61/1.08 X574:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X572 @ 0.61/1.08 X574 ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 X572 ) @ 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 X574 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X576:$i, 0.61/1.08 X578:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 ( 0.61/1.08 dsetconstr 0.61/1.08 @ 0.61/1.08 X576 @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_13:$i]: 0.61/1.08 ( 0.61/1.08 X578 @ 0.61/1.08 V_13 ) ) ) @ 0.61/1.08 ( 0.61/1.08 powerset 0.61/1.08 @ 0.61/1.08 X576 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X580:$i, 0.61/1.08 X582:( 0.61/1.08 $i > $o )]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 ( 0.61/1.08 dsetconstr 0.61/1.08 @ 0.61/1.08 X580 @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_14:$i]: 0.61/1.08 ( 0.61/1.08 X582 @ 0.61/1.08 V_14 ) ) ) @ 0.61/1.08 X580 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X584:$i, 0.61/1.08 X586:$i, 0.61/1.08 X588:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X588 @ 0.61/1.08 X584 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X588 @ 0.61/1.08 ( 0.61/1.08 binunion 0.61/1.08 @ 0.61/1.08 X584 @ 0.61/1.08 X586 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X590:$i, 0.61/1.08 X592:$i]: 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X592 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X590 @ 0.61/1.08 ( 0.61/1.08 setadjoin 0.61/1.08 @ 0.61/1.08 X592 @ 0.61/1.08 emptyset ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X594:$i, 0.61/1.08 X596:$i, 0.61/1.08 X598:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X598 @ 0.61/1.08 X596 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X598 @ 0.61/1.08 ( 0.61/1.08 binunion 0.61/1.08 @ 0.61/1.08 X594 @ 0.61/1.08 X596 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X600:$i, 0.61/1.08 X602:$i, 0.61/1.08 X604:$i, 0.61/1.08 X606:$o]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X604 @ 0.61/1.08 ( 0.61/1.08 binunion 0.61/1.08 @ 0.61/1.08 X600 @ 0.61/1.08 X602 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X604 @ 0.61/1.08 X600 ) => 0.61/1.08 ( 0.61/1.08 X606 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X604 @ 0.61/1.08 X602 ) => 0.61/1.08 ( 0.61/1.08 X606 ) ) => 0.61/1.08 ( 0.61/1.08 X606 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X608:$i, 0.61/1.08 X610:$i, 0.61/1.08 X612:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X612 @ 0.61/1.08 ( 0.61/1.08 binunion 0.61/1.08 @ 0.61/1.08 X608 @ 0.61/1.08 X610 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X612 @ 0.61/1.08 X608 ) | 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X612 @ 0.61/1.08 X610 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X614:$i, 0.61/1.08 X616:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X614 @ 0.61/1.08 ( 0.61/1.08 binunion 0.61/1.08 @ 0.61/1.08 X614 @ 0.61/1.08 X616 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X618:$i, 0.61/1.08 X620:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X620 @ 0.61/1.08 ( 0.61/1.08 binunion 0.61/1.08 @ 0.61/1.08 X618 @ 0.61/1.08 X620 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X622:$i, 0.61/1.08 X624:$i, 0.61/1.08 X626:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X626 @ 0.61/1.08 X622 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X626 @ 0.61/1.08 X624 ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X626 @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X622 @ 0.61/1.08 X624 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X628:$i, 0.61/1.08 X630:$i, 0.61/1.08 X632:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X632 @ 0.61/1.08 X628 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X632 @ 0.61/1.08 X630 ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X632 @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X628 @ 0.61/1.08 X630 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X634:$i, 0.61/1.08 X636:$i, 0.61/1.08 X638:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X638 @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X634 @ 0.61/1.08 X636 ) ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X638 @ 0.61/1.08 X634 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X640:$i, 0.61/1.08 X642:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X640 @ 0.61/1.08 X642 ) @ 0.61/1.08 X640 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X644:$i, 0.61/1.08 X646:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X644 @ 0.61/1.08 X646 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X644 @ 0.61/1.08 X646 ) = 0.61/1.08 ( 0.61/1.08 X644 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X648:$i, 0.61/1.08 X650:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X648 @ 0.61/1.08 X650 ) = 0.61/1.08 ( 0.61/1.08 X650 ) ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X650 @ 0.61/1.08 X648 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X652:$i, 0.61/1.08 X654:$i, 0.61/1.08 X656:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X656 @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X652 @ 0.61/1.08 X654 ) ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X656 @ 0.61/1.08 X654 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X658:$i, 0.61/1.08 X660:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 ?[ 0.61/1.08 X662:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X662 @ 0.61/1.08 X660 ) & 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X662 @ 0.61/1.08 X658 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X658 @ 0.61/1.08 X660 ) = 0.61/1.08 ( 0.61/1.08 emptyset ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X664:$i, 0.61/1.08 X666:$i]: 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X664 @ 0.61/1.08 X666 ) @ 0.61/1.08 X666 ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X668:$i, 0.61/1.08 X670:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X670 @ 0.61/1.08 X668 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X668 @ 0.61/1.08 X670 ) = 0.61/1.08 ( 0.61/1.08 X670 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X672:$i, 0.61/1.08 X674:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X672 @ 0.61/1.08 X674 ) = 0.61/1.08 ( 0.61/1.08 X672 ) ) => 0.61/1.08 ( 0.61/1.08 subset @ 0.61/1.08 X672 @ 0.61/1.08 X674 ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X676:$i, 0.61/1.08 X678:$i, 0.61/1.08 X680:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X676 @ 0.61/1.08 ( 0.61/1.08 binunion 0.61/1.08 @ 0.61/1.08 X678 @ 0.61/1.08 X680 ) ) = 0.61/1.08 ( 0.61/1.08 binunion 0.61/1.08 @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X676 @ 0.61/1.08 X678 ) @ 0.61/1.08 ( 0.61/1.08 binintersect 0.61/1.08 @ 0.61/1.08 X676 @ 0.61/1.08 X680 ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X682:$i, 0.61/1.08 X684:$i, 0.61/1.08 X686:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X686 @ 0.61/1.08 X682 ) => 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X686 @ 0.61/1.08 X684 ) ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X686 @ 0.61/1.08 ( 0.61/1.08 dsetconstr 0.61/1.08 @ 0.61/1.08 X682 @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_15:$i]: 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 V_15 @ 0.61/1.08 X684 ) ) ) ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 ![ 0.61/1.08 X688:$i, 0.61/1.08 X690:$i, 0.61/1.08 X692:$i]: 0.61/1.08 ( 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X692 @ 0.61/1.08 ( 0.61/1.08 dsetconstr 0.61/1.08 @ 0.61/1.08 X688 @ 0.61/1.08 ( 0.61/1.08 ^[ 0.61/1.08 V_16:$i]: 0.61/1.08 ( 0.61/1.08 ~ 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 V_16 @ 0.61/1.08 X690 ) ) ) ) ) => 0.61/1.08 ( 0.61/1.08 in @ 0.61/1.08 X692 @ 0.61/1.08 X688 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 0.61/1.08 inference('cnf.neg', [status(esa)], [zf_stmt_13])). 0.61/1.08 thf(zip_derived_cl122, plain, (~ (in @ sk__347 @ sk__345)), 0.61/1.08 inference('cnf', [status(esa)], [zf_stmt_14])). 0.61/1.08 thf(zip_derived_cl123, plain, 0.61/1.08 ( (in @ sk__347 @ 0.61/1.08 (dsetconstr @ sk__345 @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ sk__346))))))), 0.61/1.08 inference('cnf', [status(esa)], [zf_stmt_14])). 0.61/1.08 thf(zip_derived_cl212, plain, 0.61/1.08 (![X278 : $i, X279 : $i, X280 : $i > $o]: 0.61/1.08 ( (in @ X278 @ X279) 0.61/1.08 | ~ (in @ X278 @ (dsetconstr @ X279 @ (^[Y0 : $i]: (X280 @ Y0)))))), 0.61/1.08 inference('cnf', [status(esa)], [zf_stmt_14])). 0.61/1.08 thf(zip_derived_cl245, plain, 0.61/1.08 (![X278 : $i, X279 : $i, X280 : $i > $o]: 0.61/1.08 ( (in @ X278 @ X279) | ~ (in @ X278 @ (dsetconstr @ X279 @ X280)))), 0.61/1.08 inference('ho_norm', [status(thm)], [zip_derived_cl212])). 0.61/1.08 thf(zip_derived_cl292, plain, ( (in @ sk__347 @ sk__345)), 0.61/1.08 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl245])). 0.61/1.08 thf(zip_derived_cl310, plain, ($false), 0.61/1.08 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl292])). 0.61/1.08 0.61/1.08 % SZS output end Refutation 0.61/1.08 0.61/1.08 0.61/1.08 % Terminating... 3.84/1.29 % Runner terminated. 3.84/1.31 % Zipperpin 1.5 exiting 3.84/1.32 EOF