0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dqp85BsjSJ true 0.14/0.35 % Computer : n011.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1440 0.14/0.35 % WCLimit : 180 0.14/0.35 % DateTime : Mon Jul 3 07:57:09 EDT 2023 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 1440 s 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.35 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in HO mode 0.54/0.66 % Total configuration time : 828 0.54/0.66 % Estimated wc time : 1656 0.54/0.66 % Estimated cpu time (8 cpus) : 207.0 0.55/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.55/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.55/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.56/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 5.87/1.36 % Solved by lams/40_c.s.sh. 5.87/1.36 % done 129 iterations in 0.533s 5.87/1.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 5.87/1.36 % SZS output start Refutation 5.87/1.36 thf(setadjoinAx_type, type, setadjoinAx: $o). 5.87/1.36 thf(notdexE_type, type, notdexE: $o). 5.87/1.36 thf(setunionAx_type, type, setunionAx: $o). 5.87/1.36 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > ($i > $o) > $o). 5.87/1.36 thf(powersetE_type, type, powersetE: $o). 5.87/1.36 thf(omegaSAx_type, type, omegaSAx: $o). 5.87/1.36 thf(exuI1_type, type, exuI1: $o). 5.87/1.36 thf(exuI2_type, type, exuI2: $o). 5.87/1.36 thf(notequalI2_type, type, notequalI2: $o). 5.87/1.36 thf(sk__291_type, type, sk__291: $i). 5.87/1.36 thf(powerset__Cong_type, type, powerset__Cong: $o). 5.87/1.36 thf(wellorderingAx_type, type, wellorderingAx: $o). 5.87/1.36 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 5.87/1.36 thf(setoftrueEq_type, type, setoftrueEq: $o). 5.87/1.36 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 5.87/1.36 thf(sepInPowerset_type, type, sepInPowerset: $o). 5.87/1.36 thf(setext_type, type, setext: $o). 5.87/1.36 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 5.87/1.36 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o). 5.87/1.36 thf(descr__Cong_type, type, descr__Cong: $o). 5.87/1.36 thf(sk__292_type, type, sk__292: $i > $o). 5.87/1.36 thf(in_type, type, in: $i > $i > $o). 5.87/1.36 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 5.87/1.36 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o). 5.87/1.36 thf(setadjoinIR_type, type, setadjoinIR: $o). 5.87/1.36 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 5.87/1.36 thf(subsetE_type, type, subsetE: $o). 5.87/1.36 thf(prop2set2propI_type, type, prop2set2propI: $o). 5.87/1.36 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 5.87/1.36 thf(setbeta_type, type, setbeta: $o). 5.87/1.36 thf(eqinunit_type, type, eqinunit: $o). 5.87/1.36 thf(upairsetIL_type, type, upairsetIL: $o). 5.87/1.36 thf(powersetI1_type, type, powersetI1: $o). 5.87/1.36 thf(powersetAx_type, type, powersetAx: $o). 5.87/1.36 thf(powersetI_type, type, powersetI: $o). 5.87/1.36 thf(upairsetIR_type, type, upairsetIR: $o). 5.87/1.36 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > ($i > $o) > $o). 5.87/1.36 thf(inCongP_type, type, inCongP: $o). 5.87/1.36 thf(setadjoinSub_type, type, setadjoinSub: $o). 5.87/1.36 thf(exuE3e_type, type, exuE3e: $o). 5.87/1.36 thf(emptysetE_type, type, emptysetE: $o). 5.87/1.36 thf(setunionI_type, type, setunionI: $o). 5.87/1.36 thf(setunion__Cong_type, type, setunion__Cong: $o). 5.87/1.36 thf(prop2setI_type, type, prop2setI: $o). 5.87/1.36 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 5.87/1.36 thf(exuE2_type, type, exuE2: $o). 5.87/1.36 thf(emptyset_type, type, emptyset: $i). 5.87/1.36 thf(powersetsubset_type, type, powersetsubset: $o). 5.87/1.36 thf(subPowSU_type, type, subPowSU: $o). 5.87/1.36 thf(notequalI1_type, type, notequalI1: $o). 5.87/1.36 thf(notinemptyset_type, type, notinemptyset: $o). 5.87/1.36 thf(nonemptyI1_type, type, nonemptyI1: $o). 5.87/1.36 thf(subsetTrans_type, type, subsetTrans: $o). 5.87/1.36 thf(subsetE2_type, type, subsetE2: $o). 5.87/1.36 thf(singletonsswitch_type, type, singletonsswitch: $o). 5.87/1.36 thf(setextsub_type, type, setextsub: $o). 5.87/1.36 thf(emptysetsubset_type, type, emptysetsubset: $o). 5.87/1.36 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 5.87/1.36 thf(setunionE_type, type, setunionE: $o). 5.87/1.36 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 5.87/1.36 thf(setadjoinE_type, type, setadjoinE: $o). 5.87/1.36 thf(descr_type, type, descr: ($i > $o) > $i). 5.87/1.36 thf(setadjoinIL_type, type, setadjoinIL: $o). 5.87/1.36 thf(exuE1_type, type, exuE1: $o). 5.87/1.36 thf(prop2set_type, type, prop2set: $o > $i). 5.87/1.36 thf(notinsingleton_type, type, notinsingleton: $o). 5.87/1.36 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 5.87/1.36 thf(exuEu_type, type, exuEu: $o). 5.87/1.36 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 5.87/1.36 thf(upairsetE_type, type, upairsetE: $o). 5.87/1.36 thf(omega0Ax_type, type, omega0Ax: $o). 5.87/1.36 thf(notsubsetI_type, type, notsubsetI: $o). 5.87/1.36 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 5.87/1.36 thf(setextAx_type, type, setextAx: $o). 5.87/1.36 thf(powersetE1_type, type, powersetE1: $o). 5.87/1.36 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 5.87/1.36 thf(setunion_type, type, setunion: $i > $i). 5.87/1.36 thf(subsetI1_type, type, subsetI1: $o). 5.87/1.36 thf(descrp_type, type, descrp: $o). 5.87/1.36 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 5.87/1.36 thf(foundationAx_type, type, foundationAx: $o). 5.87/1.36 thf(emptysetAx_type, type, emptysetAx: $o). 5.87/1.36 thf(emptyI_type, type, emptyI: $o). 5.87/1.36 thf(setadjoinOr_type, type, setadjoinOr: $o). 5.87/1.36 thf(emptyE1_type, type, emptyE1: $o). 5.87/1.36 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 5.87/1.36 thf(vacuousDall_type, type, vacuousDall: $o). 5.87/1.36 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 5.87/1.36 thf(dsetconstrER_type, type, dsetconstrER: $o). 5.87/1.36 thf(exu_type, type, exu: ($i > $o) > $o). 5.87/1.36 thf(subsetI2_type, type, subsetI2: $o). 5.87/1.36 thf(omega__Cong_type, type, omega__Cong: $o). 5.87/1.36 thf(subsetRefl_type, type, subsetRefl: $o). 5.87/1.36 thf(uniqinunit_type, type, uniqinunit: $o). 5.87/1.36 thf(prop2setE_type, type, prop2setE: $o). 5.87/1.36 thf(omega_type, type, omega: $i). 5.87/1.36 thf(nonemptyI_type, type, nonemptyI: $o). 5.87/1.36 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > ($i > $i > $o) > $o). 5.87/1.36 thf(exuE3u_type, type, exuE3u: $o). 5.87/1.36 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 5.87/1.36 thf(exuI3_type, type, exuI3: $o). 5.87/1.36 thf(notdallE_type, type, notdallE: $o). 5.87/1.36 thf(powerset_type, type, powerset: $i > $i). 5.87/1.36 thf(dsetconstrI_type, type, dsetconstrI: $o). 5.87/1.36 thf(nonempty_type, type, nonempty: $i > $o). 5.87/1.36 thf(set2prop_type, type, set2prop: $i > $o). 5.87/1.36 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 5.87/1.36 thf(exu__Cong_type, type, exu__Cong: $o). 5.87/1.36 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o). 5.87/1.36 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 5.87/1.36 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 5.87/1.36 thf(replAx_type, type, replAx: $o). 5.87/1.36 thf(nonemptyE1_type, type, nonemptyE1: $o). 5.87/1.36 thf(omegaIndAx_type, type, omegaIndAx: $o). 5.87/1.36 thf(inPowerset_type, type, inPowerset: $o). 5.87/1.36 thf(subset_type, type, subset: $i > $i > $o). 5.87/1.36 thf(in__Cong_type, type, in__Cong: $o). 5.87/1.36 thf(subset2powerset_type, type, subset2powerset: $o). 5.87/1.36 thf(sepInPowerset, axiom, sepInPowerset = 5.87/1.36 (![A:$i,Xphi:( $i > $o )]: 5.87/1.36 ( in @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ ( powerset @ A ) ))). 5.87/1.36 thf('0', plain, 5.87/1.36 (( sepInPowerset ) = 5.87/1.36 ( ![X4:$i,X6:( $i > $o )]: 5.87/1.36 ( in @ 5.87/1.36 ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ 5.87/1.36 ( powerset @ X4 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(powersetsubset, axiom, powersetsubset = 5.87/1.36 (![A:$i,B:$i]: 5.87/1.36 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 5.87/1.36 thf('1', plain, 5.87/1.36 (( powersetsubset ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( subset @ X4 @ X6 ) => 5.87/1.36 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 5.87/1.36 thf('2', plain, 5.87/1.36 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(powersetE1, axiom, powersetE1 = 5.87/1.36 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 5.87/1.36 thf('3', plain, 5.87/1.36 (( powersetE1 ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(powersetI1, axiom, powersetI1 = 5.87/1.36 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 5.87/1.36 thf('4', plain, 5.87/1.36 (( powersetI1 ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 5.87/1.36 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 5.87/1.36 thf('5', plain, 5.87/1.36 (( subsetemptysetimpeq ) = 5.87/1.36 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setextsub, axiom, setextsub = 5.87/1.36 (![A:$i,B:$i]: 5.87/1.36 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 5.87/1.36 thf('6', plain, 5.87/1.36 (( setextsub ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( subset @ X4 @ X6 ) => 5.87/1.36 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(subset2powerset, axiom, subset2powerset = 5.87/1.36 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 5.87/1.36 thf('7', plain, 5.87/1.36 (( subset2powerset ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setadjoinSub2, axiom, setadjoinSub2 = 5.87/1.36 (![A:$i,Xx:$i,B:$i]: 5.87/1.36 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 5.87/1.36 thf('8', plain, 5.87/1.36 (( setadjoinSub2 ) = 5.87/1.36 ( ![X4:$i,X6:$i,X8:$i]: 5.87/1.36 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setadjoinSub, axiom, setadjoinSub = 5.87/1.36 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 5.87/1.36 thf('9', plain, 5.87/1.36 (( setadjoinSub ) = 5.87/1.36 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(subsetTrans, axiom, subsetTrans = 5.87/1.36 (![A:$i,B:$i,C:$i]: 5.87/1.36 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 5.87/1.36 thf('10', plain, 5.87/1.36 (( subsetTrans ) = 5.87/1.36 ( ![X4:$i,X6:$i,X8:$i]: 5.87/1.36 ( ( subset @ X4 @ X6 ) => 5.87/1.36 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 5.87/1.36 thf('11', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(notequalI2, axiom, notequalI2 = 5.87/1.36 (![A:$i,B:$i,Xx:$i]: 5.87/1.36 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))). 5.87/1.36 thf('12', plain, 5.87/1.36 (( notequalI2 ) = 5.87/1.36 ( ![X4:$i,X6:$i,X8:$i]: 5.87/1.36 ( ( in @ X8 @ X4 ) => 5.87/1.36 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(notequalI1, axiom, notequalI1 = 5.87/1.36 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 5.87/1.36 thf('13', plain, 5.87/1.36 (( notequalI1 ) = 5.87/1.36 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(notsubsetI, axiom, notsubsetI = 5.87/1.36 (![A:$i,B:$i,Xx:$i]: 5.87/1.36 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 5.87/1.36 thf('14', plain, 5.87/1.36 (( notsubsetI ) = 5.87/1.36 ( ![X4:$i,X6:$i,X8:$i]: 5.87/1.36 ( ( in @ X8 @ X4 ) => 5.87/1.36 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(subsetE2, axiom, subsetE2 = 5.87/1.36 (![A:$i,B:$i,Xx:$i]: 5.87/1.36 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 5.87/1.36 thf('15', plain, 5.87/1.36 (( subsetE2 ) = 5.87/1.36 ( ![X4:$i,X6:$i,X8:$i]: 5.87/1.36 ( ( subset @ X4 @ X6 ) => 5.87/1.36 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(subsetE, axiom, subsetE = 5.87/1.36 (![A:$i,B:$i,Xx:$i]: 5.87/1.36 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 5.87/1.36 thf('16', plain, 5.87/1.36 (( subsetE ) = 5.87/1.36 ( ![X4:$i,X6:$i,X8:$i]: 5.87/1.36 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(emptysetsubset, axiom, emptysetsubset = 5.87/1.36 (![A:$i]: ( subset @ emptyset @ A ))). 5.87/1.36 thf('17', plain, 5.87/1.36 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(subsetI2, axiom, subsetI2 = 5.87/1.36 (![A:$i,B:$i]: 5.87/1.36 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 5.87/1.36 ( subset @ A @ B ) ))). 5.87/1.36 thf('18', plain, 5.87/1.36 (( subsetI2 ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 5.87/1.36 ( subset @ X4 @ X6 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(eqimpsubset1, axiom, eqimpsubset1 = 5.87/1.36 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 5.87/1.36 thf('19', plain, 5.87/1.36 (( eqimpsubset1 ) = 5.87/1.36 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(eqimpsubset2, axiom, eqimpsubset2 = 5.87/1.36 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 5.87/1.36 thf('20', plain, 5.87/1.36 (( eqimpsubset2 ) = 5.87/1.36 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(subsetI1, axiom, subsetI1 = 5.87/1.36 (![A:$i,B:$i]: 5.87/1.36 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 5.87/1.36 ( subset @ A @ B ) ))). 5.87/1.36 thf('21', plain, 5.87/1.36 (( subsetI1 ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 5.87/1.36 ( subset @ X4 @ X6 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(dsetconstr__Cong, axiom, dsetconstr__Cong = 5.87/1.36 (![A:$i,B:$i]: 5.87/1.36 ( ( ( A ) = ( B ) ) => 5.87/1.36 ( ![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 5.87/1.36 ( ( ![Xx:$i]: 5.87/1.36 ( ( in @ Xx @ A ) => 5.87/1.36 ( ![Xy:$i]: 5.87/1.36 ( ( in @ Xy @ B ) => 5.87/1.36 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) ) ) ) => 5.87/1.36 ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 5.87/1.36 ( dsetconstr @ B @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 5.87/1.36 thf('22', plain, 5.87/1.36 (( dsetconstr__Cong ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ( X4 ) = ( X6 ) ) => 5.87/1.36 ( ![X8:( $i > $o ),X10:( $i > $o )]: 5.87/1.36 ( ( ![X12:$i]: 5.87/1.36 ( ( in @ X12 @ X4 ) => 5.87/1.36 ( ![X14:$i]: 5.87/1.36 ( ( in @ X14 @ X6 ) => 5.87/1.36 ( ( ( X12 ) = ( X14 ) ) => 5.87/1.36 ( ( X8 @ X12 ) <=> ( X10 @ X14 ) ) ) ) ) ) ) => 5.87/1.36 ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) = 5.87/1.36 ( dsetconstr @ X6 @ ( ^[V_2:$i]: ( X10 @ V_2 ) ) ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(descr__Cong, axiom, descr__Cong = 5.87/1.36 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 5.87/1.36 ( ( ![Xx:$i,Xy:$i]: 5.87/1.36 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 5.87/1.36 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 5.87/1.36 ( ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) => 5.87/1.36 ( ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 5.87/1.36 ( descr @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 5.87/1.36 thf('23', plain, 5.87/1.36 (( descr__Cong ) = 5.87/1.36 ( ![X4:( $i > $o ),X6:( $i > $o )]: 5.87/1.36 ( ( ![X8:$i,X10:$i]: 5.87/1.36 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 5.87/1.36 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 5.87/1.36 ( ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) => 5.87/1.36 ( ( descr @ ( ^[V_3:$i]: ( X4 @ V_3 ) ) ) = 5.87/1.36 ( descr @ ( ^[V_4:$i]: ( X6 @ V_4 ) ) ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(exuEu, axiom, exuEu = 5.87/1.36 (![Xphi:( $i > $o )]: 5.87/1.36 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 5.87/1.36 ( ![Xx:$i,Xy:$i]: 5.87/1.36 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 5.87/1.36 thf('24', plain, 5.87/1.36 (( exuEu ) = 5.87/1.36 ( ![X4:( $i > $o )]: 5.87/1.36 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 5.87/1.36 ( ![X6:$i,X8:$i]: 5.87/1.36 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(omega__Cong, axiom, omega__Cong = (( omega ) = ( omega ))). 5.87/1.36 thf('25', plain, (( omega__Cong ) = ( ( omega ) = ( omega ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setunion__Cong, axiom, setunion__Cong = 5.87/1.36 (![A:$i,B:$i]: 5.87/1.36 ( ( ( A ) = ( B ) ) => ( ( setunion @ A ) = ( setunion @ B ) ) ))). 5.87/1.36 thf('26', plain, 5.87/1.36 (( setunion__Cong ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ( X4 ) = ( X6 ) ) => ( ( setunion @ X4 ) = ( setunion @ X6 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(powerset__Cong, axiom, powerset__Cong = 5.87/1.36 (![A:$i,B:$i]: 5.87/1.36 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 5.87/1.36 thf('27', plain, 5.87/1.36 (( powerset__Cong ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setadjoin__Cong, axiom, setadjoin__Cong = 5.87/1.36 (![Xx:$i,Xy:$i]: 5.87/1.36 ( ( ( Xx ) = ( Xy ) ) => 5.87/1.36 ( ![Xz:$i,Xu:$i]: 5.87/1.36 ( ( ( Xz ) = ( Xu ) ) => 5.87/1.36 ( ( setadjoin @ Xx @ Xz ) = ( setadjoin @ Xy @ Xu ) ) ) ) ))). 5.87/1.36 thf('28', plain, 5.87/1.36 (( setadjoin__Cong ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ( X4 ) = ( X6 ) ) => 5.87/1.36 ( ![X8:$i,X10:$i]: 5.87/1.36 ( ( ( X8 ) = ( X10 ) ) => 5.87/1.36 ( ( setadjoin @ X4 @ X8 ) = ( setadjoin @ X6 @ X10 ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(emptyset__Cong, axiom, emptyset__Cong = (( emptyset ) = ( emptyset ))). 5.87/1.36 thf('29', plain, (( emptyset__Cong ) = ( ( emptyset ) = ( emptyset ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(exu__Cong, axiom, exu__Cong = 5.87/1.36 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 5.87/1.36 ( ( ![Xx:$i,Xy:$i]: 5.87/1.36 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 5.87/1.36 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) <=> 5.87/1.36 ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ))). 5.87/1.36 thf('30', plain, 5.87/1.36 (( exu__Cong ) = 5.87/1.36 ( ![X4:( $i > $o ),X6:( $i > $o )]: 5.87/1.36 ( ( ![X8:$i,X10:$i]: 5.87/1.36 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 5.87/1.36 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) <=> 5.87/1.36 ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(exuE3u, axiom, exuE3u = 5.87/1.36 (![Xphi:( $i > $o )]: 5.87/1.36 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 5.87/1.36 ( ![Xx:$i,Xy:$i]: 5.87/1.36 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 5.87/1.36 thf('31', plain, 5.87/1.36 (( exuE3u ) = 5.87/1.36 ( ![X4:( $i > $o )]: 5.87/1.36 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 5.87/1.36 ( ![X6:$i,X8:$i]: 5.87/1.36 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(in__Cong, axiom, in__Cong = 5.87/1.36 (![A:$i,B:$i]: 5.87/1.36 ( ( ( A ) = ( B ) ) => 5.87/1.36 ( ![Xx:$i,Xy:$i]: 5.87/1.36 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))). 5.87/1.36 thf('32', plain, 5.87/1.36 (( in__Cong ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ( X4 ) = ( X6 ) ) => 5.87/1.36 ( ![X8:$i,X10:$i]: 5.87/1.36 ( ( ( X8 ) = ( X10 ) ) => 5.87/1.36 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(inCongP, axiom, inCongP = 5.87/1.36 (![A:$i,B:$i]: 5.87/1.36 ( ( ( A ) = ( B ) ) => 5.87/1.36 ( ![Xx:$i,Xy:$i]: 5.87/1.36 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))). 5.87/1.36 thf('33', plain, 5.87/1.36 (( inCongP ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ( X4 ) = ( X6 ) ) => 5.87/1.36 ( ![X8:$i,X10:$i]: 5.87/1.36 ( ( ( X8 ) = ( X10 ) ) => 5.87/1.36 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(exuI2, axiom, exuI2 = 5.87/1.36 (![Xphi:( $i > $o )]: 5.87/1.36 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) => 5.87/1.36 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 5.87/1.36 thf('34', plain, 5.87/1.36 (( exuI2 ) = 5.87/1.36 ( ![X4:( $i > $o )]: 5.87/1.36 ( ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) => 5.87/1.36 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(exuI3, axiom, exuI3 = 5.87/1.36 (![Xphi:( $i > $o )]: 5.87/1.36 ( ( ?[Xx:$i]: ( Xphi @ Xx ) ) => 5.87/1.36 ( ( ![Xx:$i,Xy:$i]: 5.87/1.36 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) => 5.87/1.36 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 5.87/1.36 thf('35', plain, 5.87/1.36 (( exuI3 ) = 5.87/1.36 ( ![X4:( $i > $o )]: 5.87/1.36 ( ( ?[X6:$i]: ( X4 @ X6 ) ) => 5.87/1.36 ( ( ![X8:$i,X10:$i]: 5.87/1.36 ( ( X4 @ X8 ) => ( ( X4 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) => 5.87/1.36 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(exuI1, axiom, exuI1 = 5.87/1.36 (![Xphi:( $i > $o )]: 5.87/1.36 ( ( ?[Xx:$i]: 5.87/1.36 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 5.87/1.36 ( Xphi @ Xx ) ) ) => 5.87/1.36 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 5.87/1.36 thf('36', plain, 5.87/1.36 (( exuI1 ) = 5.87/1.36 ( ![X4:( $i > $o )]: 5.87/1.36 ( ( ?[X6:$i]: 5.87/1.36 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 5.87/1.36 ( X4 @ X6 ) ) ) => 5.87/1.36 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(notdallE, axiom, notdallE = 5.87/1.36 (![A:$i,Xphi:( $i > $o )]: 5.87/1.36 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 5.87/1.36 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 5.87/1.36 thf('37', plain, 5.87/1.36 (( notdallE ) = 5.87/1.36 ( ![X4:$i,X6:( $i > $o )]: 5.87/1.36 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 5.87/1.36 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(notdexE, axiom, notdexE = 5.87/1.36 (![A:$i,Xphi:( $i > $o )]: 5.87/1.36 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 5.87/1.36 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 5.87/1.36 thf('38', plain, 5.87/1.36 (( notdexE ) = 5.87/1.36 ( ![X4:$i,X6:( $i > $o )]: 5.87/1.36 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 5.87/1.36 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(prop2set2propI, axiom, prop2set2propI = 5.87/1.36 (![Xphi:$o]: ( ( Xphi ) => ( set2prop @ ( prop2set @ Xphi ) ) ))). 5.87/1.36 thf('39', plain, 5.87/1.36 (( prop2set2propI ) = 5.87/1.36 ( ![X4:$o]: ( ( X4 ) => ( set2prop @ ( prop2set @ X4 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(prop2setI, axiom, prop2setI = 5.87/1.36 (![Xphi:$o]: ( ( Xphi ) => ( in @ emptyset @ ( prop2set @ Xphi ) ) ))). 5.87/1.36 thf('40', plain, 5.87/1.36 (( prop2setI ) = 5.87/1.36 ( ![X4:$o]: ( ( X4 ) => ( in @ emptyset @ ( prop2set @ X4 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(quantDeMorgan4, axiom, quantDeMorgan4 = 5.87/1.36 (![A:$i,Xphi:( $i > $o )]: 5.87/1.36 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) => 5.87/1.36 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))). 5.87/1.36 thf('41', plain, 5.87/1.36 (( quantDeMorgan4 ) = 5.87/1.36 ( ![X4:$i,X6:( $i > $o )]: 5.87/1.36 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) => 5.87/1.36 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(quantDeMorgan3, axiom, quantDeMorgan3 = 5.87/1.36 (![A:$i,Xphi:( $i > $o )]: 5.87/1.36 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 5.87/1.36 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 5.87/1.36 thf('42', plain, 5.87/1.36 (( quantDeMorgan3 ) = 5.87/1.36 ( ![X4:$i,X6:( $i > $o )]: 5.87/1.36 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 5.87/1.36 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(quantDeMorgan2, axiom, quantDeMorgan2 = 5.87/1.36 (![A:$i,Xphi:( $i > $o )]: 5.87/1.36 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) => 5.87/1.36 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))). 5.87/1.36 thf('43', plain, 5.87/1.36 (( quantDeMorgan2 ) = 5.87/1.36 ( ![X4:$i,X6:( $i > $o )]: 5.87/1.36 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) => 5.87/1.36 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(quantDeMorgan1, axiom, quantDeMorgan1 = 5.87/1.36 (![A:$i,Xphi:( $i > $o )]: 5.87/1.36 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 5.87/1.36 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 5.87/1.36 thf('44', plain, 5.87/1.36 (( quantDeMorgan1 ) = 5.87/1.36 ( ![X4:$i,X6:( $i > $o )]: 5.87/1.36 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 5.87/1.36 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(vacuousDall, axiom, vacuousDall = 5.87/1.36 (![Xphi:( $i > $o ),Xx:$i]: ( ( in @ Xx @ emptyset ) => ( Xphi @ Xx ) ))). 5.87/1.36 thf('45', plain, 5.87/1.36 (( vacuousDall ) = 5.87/1.36 ( ![X4:( $i > $o ),X6:$i]: ( ( in @ X6 @ emptyset ) => ( X4 @ X6 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(emptyE1, axiom, emptyE1 = 5.87/1.36 (![A:$i,Xphi:( $i > $o )]: 5.87/1.36 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 5.87/1.36 ( ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = ( emptyset ) ) => 5.87/1.36 ( $false ) ) ))). 5.87/1.36 thf('46', plain, 5.87/1.36 (( emptyE1 ) = 5.87/1.36 ( ![X4:$i,X6:( $i > $o )]: 5.87/1.36 ( ( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) => 5.87/1.36 ( ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) = ( emptyset ) ) => 5.87/1.36 ( $false ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(upairsetIR, axiom, upairsetIR = 5.87/1.36 (![Xx:$i,Xy:$i]: 5.87/1.36 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 5.87/1.36 thf('47', plain, 5.87/1.36 (( upairsetIR ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(upairsetIL, axiom, upairsetIL = 5.87/1.36 (![Xx:$i,Xy:$i]: 5.87/1.36 ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 5.87/1.36 thf('48', plain, 5.87/1.36 (( upairsetIL ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(upairsetE, axiom, upairsetE = 5.87/1.36 (![Xx:$i,Xy:$i,Xz:$i]: 5.87/1.36 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 5.87/1.36 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 5.87/1.36 thf('49', plain, 5.87/1.36 (( upairsetE ) = 5.87/1.36 ( ![X4:$i,X6:$i,X8:$i]: 5.87/1.36 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 5.87/1.36 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(singletonsswitch, axiom, singletonsswitch = 5.87/1.36 (![Xx:$i,Xy:$i]: 5.87/1.36 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => 5.87/1.36 ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ))). 5.87/1.36 thf('50', plain, 5.87/1.36 (( singletonsswitch ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => 5.87/1.36 ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(eqinunit, axiom, eqinunit = 5.87/1.36 (![Xx:$i,Xy:$i]: 5.87/1.36 ( ( ( Xx ) = ( Xy ) ) => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 5.87/1.36 thf('51', plain, 5.87/1.36 (( eqinunit ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ( X4 ) = ( X6 ) ) => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(notinsingleton, axiom, notinsingleton = 5.87/1.36 (![Xx:$i,Xy:$i]: 5.87/1.36 ( ( ( Xx ) != ( Xy ) ) => ( ~( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ))). 5.87/1.36 thf('52', plain, 5.87/1.36 (( notinsingleton ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ( X4 ) != ( X6 ) ) => 5.87/1.36 ( ~( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(uniqinunit, axiom, uniqinunit = 5.87/1.36 (![Xx:$i,Xy:$i]: 5.87/1.36 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => ( ( Xx ) = ( Xy ) ) ))). 5.87/1.36 thf('53', plain, 5.87/1.36 (( uniqinunit ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => ( ( X4 ) = ( X6 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(nonemptyImpWitness, axiom, nonemptyImpWitness = 5.87/1.36 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 5.87/1.36 thf('54', plain, 5.87/1.36 (( nonemptyImpWitness ) = 5.87/1.36 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(exuE2, axiom, exuE2 = 5.87/1.36 (![Xphi:( $i > $o )]: 5.87/1.36 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 5.87/1.36 ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) ))). 5.87/1.36 thf('55', plain, 5.87/1.36 (( exuE2 ) = 5.87/1.36 ( ![X4:( $i > $o )]: 5.87/1.36 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 5.87/1.36 ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(subPowSU, axiom, subPowSU = 5.87/1.36 (![A:$i,Xx:$i]: 5.87/1.36 ( ( in @ Xx @ A ) => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ))). 5.87/1.36 thf('56', plain, 5.87/1.36 (( subPowSU ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( in @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ ( setunion @ X4 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setunionE, axiom, setunionE = 5.87/1.36 (![A:$i,Xx:$i]: 5.87/1.36 ( ( in @ Xx @ ( setunion @ A ) ) => 5.87/1.36 ( ![Xphi:$o]: 5.87/1.36 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) => 5.87/1.36 ( Xphi ) ) ) ))). 5.87/1.36 thf('57', plain, 5.87/1.36 (( setunionE ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( in @ X6 @ ( setunion @ X4 ) ) => 5.87/1.36 ( ![X8:$o]: 5.87/1.36 ( ( ![X10:$i]: 5.87/1.36 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) => 5.87/1.36 ( X8 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setunionI, axiom, setunionI = 5.87/1.36 (![A:$i,Xx:$i,B:$i]: 5.87/1.36 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))). 5.87/1.36 thf('58', plain, 5.87/1.36 (( setunionI ) = 5.87/1.36 ( ![X4:$i,X6:$i,X8:$i]: 5.87/1.36 ( ( in @ X6 @ X8 ) => 5.87/1.36 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(powersetE, axiom, powersetE = 5.87/1.36 (![A:$i,B:$i,Xx:$i]: 5.87/1.36 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 5.87/1.36 thf('59', plain, 5.87/1.36 (( powersetE ) = 5.87/1.36 ( ![X4:$i,X6:$i,X8:$i]: 5.87/1.36 ( ( in @ X6 @ ( powerset @ X4 ) ) => 5.87/1.36 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(emptyInPowerset, axiom, emptyInPowerset = 5.87/1.36 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 5.87/1.36 thf('60', plain, 5.87/1.36 (( emptyInPowerset ) = 5.87/1.36 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(emptyinPowerset, axiom, emptyinPowerset = 5.87/1.36 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 5.87/1.36 thf('61', plain, 5.87/1.36 (( emptyinPowerset ) = 5.87/1.36 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(powersetI, axiom, powersetI = 5.87/1.36 (![A:$i,B:$i]: 5.87/1.36 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 5.87/1.36 ( in @ B @ ( powerset @ A ) ) ))). 5.87/1.36 thf('62', plain, 5.87/1.36 (( powersetI ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 5.87/1.36 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setoftrueEq, axiom, setoftrueEq = 5.87/1.36 (![A:$i]: ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( $true ) ) ) = ( A ) ))). 5.87/1.36 thf('63', plain, 5.87/1.36 (( setoftrueEq ) = 5.87/1.36 ( ![X4:$i]: ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( $true ) ) ) = ( X4 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setadjoinOr, axiom, setadjoinOr = 5.87/1.36 (![Xx:$i,A:$i,Xy:$i]: 5.87/1.36 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 5.87/1.36 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 5.87/1.36 thf('64', plain, 5.87/1.36 (( setadjoinOr ) = 5.87/1.36 ( ![X4:$i,X6:$i,X8:$i]: 5.87/1.36 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 5.87/1.36 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setadjoinE, axiom, setadjoinE = 5.87/1.36 (![Xx:$i,A:$i,Xy:$i]: 5.87/1.36 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 5.87/1.36 ( ![Xphi:$o]: 5.87/1.36 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) => 5.87/1.36 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))). 5.87/1.36 thf('65', plain, 5.87/1.36 (( setadjoinE ) = 5.87/1.36 ( ![X4:$i,X6:$i,X8:$i]: 5.87/1.36 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 5.87/1.36 ( ![X10:$o]: 5.87/1.36 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) => 5.87/1.36 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setadjoinIR, axiom, setadjoinIR = 5.87/1.36 (![Xx:$i,A:$i,Xy:$i]: 5.87/1.36 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))). 5.87/1.36 thf('66', plain, 5.87/1.36 (( setadjoinIR ) = 5.87/1.36 ( ![X4:$i,X6:$i,X8:$i]: 5.87/1.36 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(emptyinunitempty, axiom,(( emptyinunitempty ) = 5.87/1.36 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))). 5.87/1.36 thf('67', plain, 5.87/1.36 (( emptyinunitempty ) = 5.87/1.36 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 5.87/1.36 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 5.87/1.36 thf('68', plain, 5.87/1.36 (( emptyinunitempty ) = 5.87/1.36 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setadjoinIL, axiom, setadjoinIL = 5.87/1.36 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))). 5.87/1.36 thf('69', plain, 5.87/1.36 (( setadjoinIL ) = 5.87/1.36 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(nonemptyI1, axiom, nonemptyI1 = 5.87/1.36 (![A:$i]: ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => ( nonempty @ A ) ))). 5.87/1.36 thf('70', plain, 5.87/1.36 (( nonemptyI1 ) = 5.87/1.36 ( ![X4:$i]: ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => ( nonempty @ X4 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(nonemptyI, axiom, nonemptyI = 5.87/1.36 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 5.87/1.36 ( ( in @ Xx @ A ) => 5.87/1.36 ( ( Xphi @ Xx ) => 5.87/1.36 ( nonempty @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 5.87/1.36 thf('71', plain, 5.87/1.36 (( nonemptyI ) = 5.87/1.36 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 5.87/1.36 ( ( in @ X8 @ X4 ) => 5.87/1.36 ( ( X6 @ X8 ) => 5.87/1.36 ( nonempty @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(nonemptyE1, axiom, nonemptyE1 = 5.87/1.36 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 5.87/1.36 thf('72', plain, 5.87/1.36 (( nonemptyE1 ) = 5.87/1.36 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(nonempty, axiom,(( nonempty ) = (^[Xx:$i]: ( ( Xx ) != ( emptyset ) )))). 5.87/1.36 thf('73', plain, (( nonempty ) = ( ^[Xx:$i]: ( ( Xx ) != ( emptyset ) ) )), 5.87/1.36 inference('simplify_rw_rule', [status(thm)], [nonempty])). 5.87/1.36 thf('74', plain, (( nonempty ) = ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setbeta, axiom, setbeta = 5.87/1.36 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 5.87/1.36 ( ( in @ Xx @ A ) => 5.87/1.36 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) <=> 5.87/1.36 ( Xphi @ Xx ) ) ))). 5.87/1.36 thf('75', plain, 5.87/1.36 (( setbeta ) = 5.87/1.36 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 5.87/1.36 ( ( in @ X8 @ X4 ) => 5.87/1.36 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=> 5.87/1.36 ( X6 @ X8 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(noeltsimpempty, axiom, noeltsimpempty = 5.87/1.36 (![A:$i]: 5.87/1.36 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 5.87/1.36 thf('76', plain, 5.87/1.36 (( noeltsimpempty ) = 5.87/1.36 ( ![X4:$i]: 5.87/1.36 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(emptyI, axiom, emptyI = 5.87/1.36 (![A:$i]: 5.87/1.36 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 5.87/1.36 thf('77', plain, 5.87/1.36 (( emptyI ) = 5.87/1.36 ( ![X4:$i]: 5.87/1.36 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setext, axiom, setext = 5.87/1.36 (![A:$i,B:$i]: 5.87/1.36 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 5.87/1.36 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 5.87/1.36 ( ( A ) = ( B ) ) ) ))). 5.87/1.36 thf('78', plain, 5.87/1.36 (( setext ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 5.87/1.36 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) => 5.87/1.36 ( ( X4 ) = ( X6 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(exuE3e, axiom, exuE3e = 5.87/1.36 (![Xphi:( $i > $o )]: 5.87/1.36 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => ( ?[Xx:$i]: ( Xphi @ Xx ) ) ))). 5.87/1.36 thf('79', plain, 5.87/1.36 (( exuE3e ) = 5.87/1.36 ( ![X4:( $i > $o )]: 5.87/1.36 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => ( ?[X6:$i]: ( X4 @ X6 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(notinemptyset, axiom, notinemptyset = 5.87/1.36 (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 5.87/1.36 thf('80', plain, 5.87/1.36 (( notinemptyset ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(emptysetimpfalse, axiom, emptysetimpfalse = 5.87/1.36 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( $false ) ))). 5.87/1.36 thf('81', plain, 5.87/1.36 (( emptysetimpfalse ) = 5.87/1.36 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( $false ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(emptysetE, axiom, emptysetE = 5.87/1.36 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( ![Xphi:$o]: ( Xphi ) ) ))). 5.87/1.36 thf('82', plain, 5.87/1.36 (( emptysetE ) = 5.87/1.36 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( ![X6:$o]: ( X6 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(prop2setE, axiom, prop2setE = 5.87/1.36 (![Xphi:$o,Xx:$i]: ( ( in @ Xx @ ( prop2set @ Xphi ) ) => ( Xphi ) ))). 5.87/1.36 thf('83', plain, 5.87/1.36 (( prop2setE ) = 5.87/1.36 ( ![X4:$o,X6:$i]: ( ( in @ X6 @ ( prop2set @ X4 ) ) => ( X4 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(exuE1, axiom, exuE1 = 5.87/1.36 (![Xphi:( $i > $o )]: 5.87/1.36 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 5.87/1.36 ( ?[Xx:$i]: 5.87/1.36 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 5.87/1.36 ( Xphi @ Xx ) ) ) ))). 5.87/1.36 thf('84', plain, 5.87/1.36 (( exuE1 ) = 5.87/1.36 ( ![X4:( $i > $o )]: 5.87/1.36 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 5.87/1.36 ( ?[X6:$i]: 5.87/1.36 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 5.87/1.36 ( X4 @ X6 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(dsetconstrER, axiom, dsetconstrER = 5.87/1.36 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 5.87/1.36 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 5.87/1.36 ( Xphi @ Xx ) ))). 5.87/1.36 thf('85', plain, 5.87/1.36 (( dsetconstrER ) = 5.87/1.36 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 5.87/1.36 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 5.87/1.36 ( X6 @ X8 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(dsetconstrEL, axiom, dsetconstrEL = 5.87/1.36 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 5.87/1.36 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 5.87/1.36 ( in @ Xx @ A ) ))). 5.87/1.36 thf('86', plain, 5.87/1.36 (( dsetconstrEL ) = 5.87/1.36 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 5.87/1.36 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 5.87/1.36 ( in @ X8 @ X4 ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(dsetconstrI, axiom, dsetconstrI = 5.87/1.36 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 5.87/1.36 ( ( in @ Xx @ A ) => 5.87/1.36 ( ( Xphi @ Xx ) => 5.87/1.36 ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 5.87/1.36 thf('87', plain, 5.87/1.36 (( dsetconstrI ) = 5.87/1.36 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 5.87/1.36 ( ( in @ X8 @ X4 ) => 5.87/1.36 ( ( X6 @ X8 ) => 5.87/1.36 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(descrp, axiom, descrp = 5.87/1.36 (![Xphi:( $i > $o )]: 5.87/1.36 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 5.87/1.36 ( Xphi @ ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 5.87/1.36 thf('88', plain, 5.87/1.36 (( descrp ) = 5.87/1.36 ( ![X4:( $i > $o )]: 5.87/1.36 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 5.87/1.36 ( X4 @ ( descr @ ( ^[V_2:$i]: ( X4 @ V_2 ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(wellorderingAx, axiom, wellorderingAx = 5.87/1.36 (![A:$i]: 5.87/1.36 ( ?[B:$i]: 5.87/1.36 ( ( ![C:$i]: 5.87/1.36 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) & 5.87/1.36 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) => 5.87/1.36 ( ?[D:$i,Xx:$i]: 5.87/1.36 ( ( ![E:$i]: 5.87/1.36 ( ( in @ E @ B ) => 5.87/1.36 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) | 5.87/1.36 ( in @ Xx @ E ) ) ) ) & 5.87/1.36 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) & 5.87/1.36 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) & 5.87/1.36 ( ![C:$i,D:$i]: 5.87/1.36 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) => 5.87/1.36 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) | 5.87/1.36 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) & 5.87/1.36 ( ![Xx:$i,Xy:$i]: 5.87/1.36 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) => 5.87/1.36 ( ( ![C:$i]: 5.87/1.36 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) => 5.87/1.36 ( ( Xx ) = ( Xy ) ) ) ) ) & 5.87/1.36 ( ![C:$i]: 5.87/1.36 ( ( in @ C @ B ) => 5.87/1.36 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))). 5.87/1.36 thf('89', plain, 5.87/1.36 (( wellorderingAx ) = 5.87/1.36 ( ![X4:$i]: 5.87/1.36 ( ?[X6:$i]: 5.87/1.36 ( ( ![X8:$i]: 5.87/1.36 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) & 5.87/1.36 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) => 5.87/1.36 ( ?[X14:$i,X16:$i]: 5.87/1.36 ( ( ![X18:$i]: 5.87/1.36 ( ( in @ X18 @ X6 ) => 5.87/1.36 ( ( ![X20:$i]: 5.87/1.36 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) | 5.87/1.36 ( in @ X16 @ X18 ) ) ) ) & 5.87/1.36 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) & 5.87/1.36 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) & 5.87/1.36 ( ![X24:$i,X26:$i]: 5.87/1.36 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) => 5.87/1.36 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) | 5.87/1.36 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) & 5.87/1.36 ( ![X32:$i,X34:$i]: 5.87/1.36 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) => 5.87/1.36 ( ( ![X36:$i]: 5.87/1.36 ( ( in @ X36 @ X6 ) => 5.87/1.36 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) => 5.87/1.36 ( ( X32 ) = ( X34 ) ) ) ) ) & 5.87/1.36 ( ![X38:$i]: 5.87/1.36 ( ( in @ X38 @ X6 ) => 5.87/1.36 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(foundationAx, axiom, foundationAx = 5.87/1.36 (![A:$i]: 5.87/1.36 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => 5.87/1.36 ( ?[B:$i]: 5.87/1.36 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) & 5.87/1.36 ( in @ B @ A ) ) ) ))). 5.87/1.36 thf('90', plain, 5.87/1.36 (( foundationAx ) = 5.87/1.36 ( ![X4:$i]: 5.87/1.36 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => 5.87/1.36 ( ?[X8:$i]: 5.87/1.36 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) & 5.87/1.36 ( in @ X8 @ X4 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(replAx, axiom, replAx = 5.87/1.36 (![Xphi:( $i > $i > $o ),A:$i]: 5.87/1.36 ( ( ![Xx:$i]: 5.87/1.36 ( ( in @ Xx @ A ) => ( exu @ ( ^[Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ) ) => 5.87/1.36 ( ?[B:$i]: 5.87/1.36 ( ![Xx:$i]: 5.87/1.36 ( ( in @ Xx @ B ) <=> 5.87/1.36 ( ?[Xy:$i]: ( ( Xphi @ Xy @ Xx ) & ( in @ Xy @ A ) ) ) ) ) ) ))). 5.87/1.36 thf('91', plain, 5.87/1.36 (( replAx ) = 5.87/1.36 ( ![X4:( $i > $i > $o ),X6:$i]: 5.87/1.36 ( ( ![X8:$i]: 5.87/1.36 ( ( in @ X8 @ X6 ) => ( exu @ ( ^[V_1:$i]: ( X4 @ X8 @ V_1 ) ) ) ) ) => 5.87/1.36 ( ?[X10:$i]: 5.87/1.36 ( ![X12:$i]: 5.87/1.36 ( ( in @ X12 @ X10 ) <=> 5.87/1.36 ( ?[X14:$i]: ( ( X4 @ X14 @ X12 ) & ( in @ X14 @ X6 ) ) ) ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(omegaIndAx, axiom, omegaIndAx = 5.87/1.36 (![A:$i]: 5.87/1.36 ( ( ( in @ emptyset @ A ) & 5.87/1.36 ( ![Xx:$i]: 5.87/1.36 ( ( ( in @ Xx @ omega ) & ( in @ Xx @ A ) ) => 5.87/1.36 ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) ) ) => 5.87/1.36 ( ![Xx:$i]: ( ( in @ Xx @ omega ) => ( in @ Xx @ A ) ) ) ))). 5.87/1.36 thf('92', plain, 5.87/1.36 (( omegaIndAx ) = 5.87/1.36 ( ![X4:$i]: 5.87/1.36 ( ( ( in @ emptyset @ X4 ) & 5.87/1.36 ( ![X6:$i]: 5.87/1.36 ( ( ( in @ X6 @ omega ) & ( in @ X6 @ X4 ) ) => 5.87/1.36 ( in @ ( setadjoin @ X6 @ X6 ) @ X4 ) ) ) ) => 5.87/1.36 ( ![X8:$i]: ( ( in @ X8 @ omega ) => ( in @ X8 @ X4 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(omegaSAx, axiom, omegaSAx = 5.87/1.36 (![Xx:$i]: 5.87/1.36 ( ( in @ Xx @ omega ) => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ))). 5.87/1.36 thf('93', plain, 5.87/1.36 (( omegaSAx ) = 5.87/1.36 ( ![X4:$i]: 5.87/1.36 ( ( in @ X4 @ omega ) => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(omega0Ax, axiom,(( omega0Ax ) = (in @ emptyset @ omega))). 5.87/1.36 thf('94', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 5.87/1.36 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 5.87/1.36 thf('95', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setunionAx, axiom, setunionAx = 5.87/1.36 (![A:$i,Xx:$i]: 5.87/1.36 ( ( in @ Xx @ ( setunion @ A ) ) <=> 5.87/1.36 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))). 5.87/1.36 thf('96', plain, 5.87/1.36 (( setunionAx ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( in @ X6 @ ( setunion @ X4 ) ) <=> 5.87/1.36 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(powersetAx, axiom, powersetAx = 5.87/1.36 (![A:$i,B:$i]: 5.87/1.36 ( ( in @ B @ ( powerset @ A ) ) <=> 5.87/1.36 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 5.87/1.36 thf('97', plain, 5.87/1.36 (( powersetAx ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 5.87/1.36 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setadjoinAx, axiom, setadjoinAx = 5.87/1.36 (![Xx:$i,A:$i,Xy:$i]: 5.87/1.36 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=> 5.87/1.36 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 5.87/1.36 thf('98', plain, 5.87/1.36 (( setadjoinAx ) = 5.87/1.36 ( ![X4:$i,X6:$i,X8:$i]: 5.87/1.36 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=> 5.87/1.36 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(emptysetAx, axiom, emptysetAx = (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 5.87/1.36 thf('99', plain, 5.87/1.36 (( emptysetAx ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(setextAx, axiom, setextAx = 5.87/1.36 (![A:$i,B:$i]: 5.87/1.36 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) => 5.87/1.36 ( ( A ) = ( B ) ) ))). 5.87/1.36 thf('100', plain, 5.87/1.36 (( setextAx ) = 5.87/1.36 ( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 5.87/1.36 ( ( X4 ) = ( X6 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(exu, axiom,(( exu ) = 5.87/1.36 (^[Xphi:( $i > $o )]: 5.87/1.36 ( ?[Xx:$i]: 5.87/1.36 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & ( Xphi @ Xx ) ) )))). 5.87/1.36 thf('101', plain, 5.87/1.36 (( exu ) = 5.87/1.36 ( ^[Xphi:( $i > $o )]: 5.87/1.36 ( ?[Xx:$i]: 5.87/1.36 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 5.87/1.36 ( Xphi @ Xx ) ) ) )), 5.87/1.36 inference('simplify_rw_rule', [status(thm)], [exu])). 5.87/1.36 thf('102', plain, 5.87/1.36 (( exu ) = 5.87/1.36 ( ^[V_1:( $i > $o )]: 5.87/1.36 ( ?[X4:$i]: 5.87/1.36 ( ( ![X6:$i]: ( ( V_1 @ X6 ) => ( ( X4 ) = ( X6 ) ) ) ) & 5.87/1.36 ( V_1 @ X4 ) ) ) )), 5.87/1.36 define([status(thm)])). 5.87/1.36 thf(sepSubset, conjecture, 5.87/1.36 (( setextAx ) => 5.87/1.36 ( ( emptysetAx ) => 5.87/1.36 ( ( setadjoinAx ) => 5.87/1.36 ( ( powersetAx ) => 5.87/1.36 ( ( setunionAx ) => 5.87/1.36 ( ( omega0Ax ) => 5.87/1.36 ( ( omegaSAx ) => 5.87/1.36 ( ( omegaIndAx ) => 5.87/1.36 ( ( replAx ) => 5.87/1.36 ( ( foundationAx ) => 5.87/1.36 ( ( wellorderingAx ) => 5.87/1.36 ( ( descrp ) => 5.87/1.36 ( ( dsetconstrI ) => 5.87/1.36 ( ( dsetconstrEL ) => 5.87/1.36 ( ( dsetconstrER ) => 5.87/1.36 ( ( exuE1 ) => 5.87/1.36 ( ( prop2setE ) => 5.87/1.36 ( ( emptysetE ) => 5.87/1.36 ( ( emptysetimpfalse ) => 5.87/1.36 ( ( notinemptyset ) => 5.87/1.36 ( ( exuE3e ) => 5.87/1.36 ( ( setext ) => 5.87/1.36 ( ( emptyI ) => 5.87/1.36 ( ( noeltsimpempty ) => 5.87/1.36 ( ( setbeta ) => 5.87/1.36 ( ( nonemptyE1 ) => 5.87/1.36 ( ( nonemptyI ) => 5.87/1.36 ( ( nonemptyI1 ) => 5.87/1.36 ( ( setadjoinIL ) => 5.87/1.36 ( ( emptyinunitempty ) => 5.87/1.36 ( ( setadjoinIR ) => 5.87/1.36 ( ( setadjoinE ) => 5.87/1.36 ( ( 5.87/1.36 setadjoinOr ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 setoftrueEq ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 powersetI ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 emptyinPowerset ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 emptyInPowerset ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 powersetE ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 setunionI ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 setunionE ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subPowSU ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 exuE2 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 nonemptyImpWitness ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 uniqinunit ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 notinsingleton ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 eqinunit ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 singletonsswitch ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 upairsetE ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 upairsetIL ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 upairsetIR ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 emptyE1 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 vacuousDall ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 quantDeMorgan1 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 quantDeMorgan2 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 quantDeMorgan3 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 quantDeMorgan4 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 prop2setI ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 prop2set2propI ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 notdexE ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 notdallE ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 exuI1 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 exuI3 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 exuI2 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 inCongP ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in__Cong ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 exuE3u ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 exu__Cong ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 emptyset__Cong ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 setadjoin__Cong ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 powerset__Cong ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 setunion__Cong ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 omega__Cong ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 exuEu ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 descr__Cong ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 dsetconstr__Cong ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subsetI1 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 eqimpsubset2 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 eqimpsubset1 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subsetI2 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 emptysetsubset ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subsetE ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subsetE2 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 notsubsetI ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 notequalI1 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 notequalI2 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subsetRefl ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subsetTrans ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 setadjoinSub ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 setadjoinSub2 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subset2powerset ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 setextsub ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subsetemptysetimpeq ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 powersetI1 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 powersetE1 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 inPowerset ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 powersetsubset ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 sepInPowerset ) => 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 A:$i, 5.87/1.36 Xphi:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 ( 5.87/1.36 dsetconstr 5.87/1.36 @ 5.87/1.36 A @ 5.87/1.36 ( 5.87/1.36 ^[ 5.87/1.36 Xx:$i]: 5.87/1.36 ( 5.87/1.36 Xphi @ Xx ) ) ) @ 5.87/1.36 A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 5.87/1.36 thf(zf_stmt_0, conjecture, 5.87/1.36 (( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 5.87/1.36 ( ( X4 ) = ( X6 ) ) ) ) => 5.87/1.36 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 5.87/1.36 ( ( ![X12:$i,X14:$i,X16:$i]: 5.87/1.36 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 5.87/1.36 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 5.87/1.36 ( ( ![X18:$i,X20:$i]: 5.87/1.36 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 5.87/1.36 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 5.87/1.36 ( ( ![X24:$i,X26:$i]: 5.87/1.36 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 5.87/1.36 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 5.87/1.36 ( ( in @ emptyset @ omega ) => 5.87/1.36 ( ( ![X30:$i]: 5.87/1.36 ( ( in @ X30 @ omega ) => 5.87/1.36 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 5.87/1.36 ( ( ![X32:$i]: 5.87/1.36 ( ( ( ![X34:$i]: 5.87/1.36 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 5.87/1.36 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 5.87/1.36 ( in @ emptyset @ X32 ) ) => 5.87/1.36 ( ![X36:$i]: 5.87/1.36 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 5.87/1.36 ( ( ![X38:( $i > $i > $o ),X40:$i]: 5.87/1.36 ( ( ![X42:$i]: 5.87/1.36 ( ( in @ X42 @ X40 ) => 5.87/1.36 ( ?[X44:$i]: 5.87/1.36 ( ( X38 @ X42 @ X44 ) & 5.87/1.36 ( ![X46:$i]: 5.87/1.36 ( ( X38 @ X42 @ X46 ) => 5.87/1.36 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 5.87/1.36 ( ?[X48:$i]: 5.87/1.36 ( ![X50:$i]: 5.87/1.36 ( ( in @ X50 @ X48 ) <=> 5.87/1.36 ( ?[X52:$i]: 5.87/1.36 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 5.87/1.36 ( ( ![X54:$i]: 5.87/1.36 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 5.87/1.36 ( ?[X58:$i]: 5.87/1.36 ( ( in @ X58 @ X54 ) & 5.87/1.36 ( ~( ?[X60:$i]: 5.87/1.36 ( ( in @ X60 @ X58 ) & ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 5.87/1.36 ( ( ![X62:$i]: 5.87/1.36 ( ?[X64:$i]: 5.87/1.36 ( ( ![X96:$i]: 5.87/1.36 ( ( in @ X96 @ X64 ) => 5.87/1.36 ( ![X98:$i]: 5.87/1.36 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) & 5.87/1.36 ( ![X90:$i,X92:$i]: 5.87/1.36 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 5.87/1.36 ( ( ![X94:$i]: 5.87/1.36 ( ( in @ X94 @ X64 ) => 5.87/1.36 ( ( in @ X90 @ X94 ) <=> 5.87/1.36 ( in @ X92 @ X94 ) ) ) ) => 5.87/1.36 ( ( X90 ) = ( X92 ) ) ) ) ) & 5.87/1.36 ( ![X82:$i,X84:$i]: 5.87/1.36 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 5.87/1.36 ( ( ![X88:$i]: 5.87/1.36 ( ( in @ X88 @ X84 ) => 5.87/1.36 ( in @ X88 @ X82 ) ) ) | 5.87/1.36 ( ![X86:$i]: 5.87/1.36 ( ( in @ X86 @ X82 ) => 5.87/1.36 ( in @ X86 @ X84 ) ) ) ) ) ) & 5.87/1.36 ( ![X66:$i]: 5.87/1.36 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 5.87/1.36 ( ![X68:$i]: 5.87/1.36 ( ( in @ X68 @ X66 ) => 5.87/1.36 ( in @ X68 @ X62 ) ) ) ) => 5.87/1.36 ( ?[X72:$i,X74:$i]: 5.87/1.36 ( ( in @ X72 @ X64 ) & 5.87/1.36 ( in @ X74 @ X66 ) & 5.87/1.36 ( ~( ?[X80:$i]: 5.87/1.36 ( ( in @ X80 @ X72 ) & 5.87/1.36 ( in @ X80 @ X66 ) ) ) ) & 5.87/1.36 ( ![X76:$i]: 5.87/1.36 ( ( in @ X76 @ X64 ) => 5.87/1.36 ( ( in @ X74 @ X76 ) | 5.87/1.36 ( ![X78:$i]: 5.87/1.36 ( ( in @ X78 @ X76 ) => 5.87/1.36 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 5.87/1.36 ( ( ![X100:( $i > $o )]: 5.87/1.36 ( ( ?[X102:$i]: 5.87/1.36 ( ( X100 @ X102 ) & 5.87/1.36 ( ![X104:$i]: 5.87/1.36 ( ( X100 @ X104 ) => 5.87/1.36 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 5.87/1.36 ( X100 @ 5.87/1.36 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 5.87/1.36 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 5.87/1.36 ( ( in @ X110 @ X106 ) => 5.87/1.36 ( ( X108 @ X110 ) => 5.87/1.36 ( in @ 5.87/1.36 X110 @ 5.87/1.36 ( dsetconstr @ 5.87/1.36 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 5.87/1.36 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 5.87/1.36 ( ( in @ 5.87/1.36 X116 @ 5.87/1.36 ( dsetconstr @ 5.87/1.36 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 5.87/1.36 ( in @ X116 @ X112 ) ) ) => 5.87/1.36 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 5.87/1.36 ( ( in @ 5.87/1.36 X122 @ 5.87/1.36 ( dsetconstr @ 5.87/1.36 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 5.87/1.36 ( X120 @ X122 ) ) ) => 5.87/1.36 ( ( ![X124:( $i > $o )]: 5.87/1.36 ( ( ?[X126:$i]: 5.87/1.36 ( ( X124 @ X126 ) & 5.87/1.36 ( ![X128:$i]: 5.87/1.36 ( ( X124 @ X128 ) => 5.87/1.36 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 5.87/1.36 ( ?[X130:$i]: 5.87/1.36 ( ( X124 @ X130 ) & 5.87/1.36 ( ![X132:$i]: 5.87/1.36 ( ( X124 @ X132 ) => 5.87/1.36 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 5.87/1.36 ( ( ![X134:$o,X136:$i]: 5.87/1.36 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 5.87/1.36 ( X134 ) ) ) => 5.87/1.36 ( ( ![X138:$i]: 5.87/1.36 ( ( in @ X138 @ emptyset ) => 5.87/1.36 ( ![X140:$o]: ( X140 ) ) ) ) => 5.87/1.36 ( ( ![X142:$i]: 5.87/1.36 ( ( in @ X142 @ emptyset ) => 5.87/1.36 ( $false ) ) ) => 5.87/1.36 ( ( ![X144:$i]: 5.87/1.36 ( ~( in @ X144 @ emptyset ) ) ) => 5.87/1.36 ( ( ![X146:( $i > $o )]: 5.87/1.36 ( ( ?[X148:$i]: 5.87/1.36 ( ( X146 @ X148 ) & 5.87/1.36 ( ![X150:$i]: 5.87/1.36 ( ( X146 @ X150 ) => 5.87/1.36 ( ( X148 ) = ( X150 ) ) ) ) ) ) => 5.87/1.36 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 5.87/1.36 ( ( ![X154:$i,X156:$i]: 5.87/1.36 ( ( ![X158:$i]: 5.87/1.36 ( ( in @ X158 @ X154 ) => 5.87/1.36 ( in @ X158 @ X156 ) ) ) => 5.87/1.36 ( ( ![X160:$i]: 5.87/1.36 ( ( in @ X160 @ X156 ) => 5.87/1.36 ( in @ X160 @ X154 ) ) ) => 5.87/1.36 ( ( X154 ) = ( X156 ) ) ) ) ) => 5.87/1.36 ( ( ![X162:$i]: 5.87/1.36 ( ( ![X164:$i]: 5.87/1.36 ( ~( in @ X164 @ X162 ) ) ) => 5.87/1.36 ( ( X162 ) = ( emptyset ) ) ) ) => 5.87/1.36 ( ( ![X166:$i]: 5.87/1.36 ( ( ![X168:$i]: 5.87/1.36 ( ~( in @ X168 @ X166 ) ) ) => 5.87/1.36 ( ( X166 ) = 5.87/1.36 ( emptyset ) ) ) ) => 5.87/1.36 ( ( ![X170:$i, 5.87/1.36 X172:( $i > $o ), 5.87/1.36 X174:$i]: 5.87/1.36 ( ( in @ X174 @ X170 ) => 5.87/1.36 ( ( in @ 5.87/1.36 X174 @ 5.87/1.36 ( dsetconstr @ 5.87/1.36 X170 @ 5.87/1.36 ( ^[V_5:$i]: 5.87/1.36 ( X172 @ V_5 ) ) ) ) <=> 5.87/1.36 ( X172 @ X174 ) ) ) ) => 5.87/1.36 ( ( ![X176:$i]: 5.87/1.36 ( ( ( X176 ) != 5.87/1.36 ( emptyset ) ) => 5.87/1.36 ( ?[X178:$i]: 5.87/1.36 ( in @ X178 @ X176 ) ) ) ) => 5.87/1.36 ( ( ![X180:$i, 5.87/1.36 X182:( $i > $o ), 5.87/1.36 X184:$i]: 5.87/1.36 ( ( in @ X184 @ X180 ) => 5.87/1.36 ( ( X182 @ X184 ) => 5.87/1.36 ( ( dsetconstr @ 5.87/1.36 X180 @ 5.87/1.36 ( ^[ 5.87/1.36 V_6:$i]: 5.87/1.36 ( 5.87/1.36 X182 @ V_6 ) ) ) != 5.87/1.36 ( emptyset ) ) ) ) ) => 5.87/1.36 ( ( ![X186:$i]: 5.87/1.36 ( ( ?[X188:$i]: 5.87/1.36 ( in @ 5.87/1.36 X188 @ X186 ) ) => 5.87/1.36 ( ( X186 ) != 5.87/1.36 ( emptyset ) ) ) ) => 5.87/1.36 ( ( ![X190:$i, 5.87/1.36 X192:$i]: 5.87/1.36 ( in @ 5.87/1.36 X190 @ 5.87/1.36 ( setadjoin @ 5.87/1.36 X190 @ X192 ) ) ) => 5.87/1.36 ( ( in @ 5.87/1.36 emptyset @ 5.87/1.36 ( setadjoin @ 5.87/1.36 emptyset @ 5.87/1.36 emptyset ) ) => 5.87/1.36 ( ( ![X194:$i, 5.87/1.36 X196:$i, 5.87/1.36 X198:$i]: 5.87/1.36 ( ( 5.87/1.36 in @ 5.87/1.36 X198 @ 5.87/1.36 X196 ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X198 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X194 @ 5.87/1.36 X196 ) ) ) ) => 5.87/1.36 ( ( ![ 5.87/1.36 X200:$i, 5.87/1.36 X202:$i, 5.87/1.36 X204:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X204 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X200 @ 5.87/1.36 X202 ) ) => 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X206:$o]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X204 ) = 5.87/1.36 ( 5.87/1.36 X200 ) ) => 5.87/1.36 ( 5.87/1.36 X206 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X204 @ 5.87/1.36 X202 ) => 5.87/1.36 ( 5.87/1.36 X206 ) ) => 5.87/1.36 ( 5.87/1.36 X206 ) ) ) ) ) ) => 5.87/1.36 ( ( 5.87/1.36 ![ 5.87/1.36 X208:$i, 5.87/1.36 X210:$i, 5.87/1.36 X212:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X212 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X208 @ 5.87/1.36 X210 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X212 @ 5.87/1.36 X210 ) | 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X212 ) = 5.87/1.36 ( 5.87/1.36 X208 ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X214:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 dsetconstr 5.87/1.36 @ 5.87/1.36 X214 @ 5.87/1.36 ( 5.87/1.36 ^[ 5.87/1.36 V_7:$i]: 5.87/1.36 ( 5.87/1.36 $true ) ) ) = 5.87/1.36 ( 5.87/1.36 X214 ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X216:$i, 5.87/1.36 X218:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X220:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X220 @ 5.87/1.36 X218 ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X220 @ 5.87/1.36 X216 ) ) ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X218 @ 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 X216 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X222:$i]: 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 emptyset @ 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 X222 ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X224:$i]: 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 emptyset @ 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 X224 ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X226:$i, 5.87/1.36 X228:$i, 5.87/1.36 X230:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X228 @ 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 X226 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X230 @ 5.87/1.36 X228 ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X230 @ 5.87/1.36 X226 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X232:$i, 5.87/1.36 X234:$i, 5.87/1.36 X236:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X234 @ 5.87/1.36 X236 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X236 @ 5.87/1.36 X232 ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X234 @ 5.87/1.36 ( 5.87/1.36 setunion @ 5.87/1.36 X232 ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X238:$i, 5.87/1.36 X240:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X240 @ 5.87/1.36 ( 5.87/1.36 setunion @ 5.87/1.36 X238 ) ) => 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X242:$o]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X244:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X240 @ 5.87/1.36 X244 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X244 @ 5.87/1.36 X238 ) => 5.87/1.36 ( 5.87/1.36 X242 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 X242 ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X246:$i, 5.87/1.36 X248:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X248 @ 5.87/1.36 X246 ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X248 @ 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 ( 5.87/1.36 setunion @ 5.87/1.36 X246 ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X250:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X252:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X250 @ 5.87/1.36 X252 ) & 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X254:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X250 @ 5.87/1.36 X254 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X252 ) = 5.87/1.36 ( 5.87/1.36 X254 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X256:$i]: 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X258:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X250 @ 5.87/1.36 X258 ) <=> 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X258 ) = 5.87/1.36 ( 5.87/1.36 X256 ) ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X260:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X260 ) != 5.87/1.36 ( 5.87/1.36 emptyset ) ) => 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X262:$i]: 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X262 @ 5.87/1.36 X260 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X264:$i, 5.87/1.36 X266:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X264 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X266 @ 5.87/1.36 emptyset ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X264 ) = 5.87/1.36 ( 5.87/1.36 X266 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X268:$i, 5.87/1.36 X270:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X268 ) != 5.87/1.36 ( 5.87/1.36 X270 ) ) => 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 in @ 5.87/1.36 X270 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X268 @ 5.87/1.36 emptyset ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X272:$i, 5.87/1.36 X274:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X272 ) = 5.87/1.36 ( 5.87/1.36 X274 ) ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X272 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X274 @ 5.87/1.36 emptyset ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X276:$i, 5.87/1.36 X278:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X276 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X278 @ 5.87/1.36 emptyset ) ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X278 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X276 @ 5.87/1.36 emptyset ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X280:$i, 5.87/1.36 X282:$i, 5.87/1.36 X284:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X284 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X280 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X282 @ 5.87/1.36 emptyset ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X284 ) = 5.87/1.36 ( 5.87/1.36 X282 ) ) | 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X284 ) = 5.87/1.36 ( 5.87/1.36 X280 ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X286:$i, 5.87/1.36 X288:$i]: 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X286 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X286 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X288 @ 5.87/1.36 emptyset ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X290:$i, 5.87/1.36 X292:$i]: 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X292 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X290 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X292 @ 5.87/1.36 emptyset ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X294:$i, 5.87/1.36 X296:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X298:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X298 @ 5.87/1.36 X294 ) & 5.87/1.36 ( 5.87/1.36 X296 @ 5.87/1.36 X298 ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 dsetconstr 5.87/1.36 @ 5.87/1.36 X294 @ 5.87/1.36 ( 5.87/1.36 ^[ 5.87/1.36 V_8:$i]: 5.87/1.36 ( 5.87/1.36 X296 @ V_8 ) ) ) = 5.87/1.36 ( 5.87/1.36 emptyset ) ) => 5.87/1.36 ( 5.87/1.36 $false ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X300:( 5.87/1.36 $i > $o ), 5.87/1.36 X302:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X302 @ 5.87/1.36 emptyset ) => 5.87/1.36 ( 5.87/1.36 X300 @ 5.87/1.36 X302 ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X304:$i, 5.87/1.36 X306:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 ![ 5.87/1.36 X308:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X308 @ 5.87/1.36 X304 ) => 5.87/1.36 ( 5.87/1.36 X306 @ 5.87/1.36 X308 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X310:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X310 @ 5.87/1.36 X304 ) & 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 X306 @ 5.87/1.36 X310 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X312:$i, 5.87/1.36 X314:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X316:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X316 @ 5.87/1.36 X312 ) => 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 X314 @ 5.87/1.36 X316 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 ?[ 5.87/1.36 X318:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X318 @ 5.87/1.36 X312 ) & 5.87/1.36 ( 5.87/1.36 X314 @ 5.87/1.36 X318 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X320:$i, 5.87/1.36 X322:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 ?[ 5.87/1.36 X324:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X324 @ 5.87/1.36 X320 ) & 5.87/1.36 ( 5.87/1.36 X322 @ 5.87/1.36 X324 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X326:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X326 @ 5.87/1.36 X320 ) => 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 X322 @ 5.87/1.36 X326 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X328:$i, 5.87/1.36 X330:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X332:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X332 @ 5.87/1.36 X328 ) & 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 X330 @ 5.87/1.36 X332 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 ![ 5.87/1.36 X334:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X334 @ 5.87/1.36 X328 ) => 5.87/1.36 ( 5.87/1.36 X330 @ 5.87/1.36 X334 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X336:$o]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X336 ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 emptyset @ 5.87/1.36 ( 5.87/1.36 prop2set @ 5.87/1.36 X336 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X338:$o]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X338 ) => 5.87/1.36 ( 5.87/1.36 set2prop @ 5.87/1.36 ( 5.87/1.36 prop2set @ 5.87/1.36 X338 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X340:$i, 5.87/1.36 X342:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 ?[ 5.87/1.36 X344:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X344 @ 5.87/1.36 X340 ) & 5.87/1.36 ( 5.87/1.36 X342 @ 5.87/1.36 X344 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X346:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X346 @ 5.87/1.36 X340 ) => 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 X342 @ 5.87/1.36 X346 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X348:$i, 5.87/1.36 X350:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 ![ 5.87/1.36 X352:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X352 @ 5.87/1.36 X348 ) => 5.87/1.36 ( 5.87/1.36 X350 @ 5.87/1.36 X352 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X354:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X354 @ 5.87/1.36 X348 ) & 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 X350 @ 5.87/1.36 X354 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X356:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X358:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X356 @ 5.87/1.36 X358 ) & 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X360:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X356 @ 5.87/1.36 X360 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X358 ) = 5.87/1.36 ( 5.87/1.36 X360 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X362:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X356 @ 5.87/1.36 X362 ) & 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X364:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X356 @ 5.87/1.36 X364 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X362 ) = 5.87/1.36 ( 5.87/1.36 X364 ) ) ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X366:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X368:$i]: 5.87/1.36 ( 5.87/1.36 X366 @ 5.87/1.36 X368 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X370:$i, 5.87/1.36 X372:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X366 @ 5.87/1.36 X370 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X366 @ 5.87/1.36 X372 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X370 ) = 5.87/1.36 ( 5.87/1.36 X372 ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X374:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X366 @ 5.87/1.36 X374 ) & 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X376:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X366 @ 5.87/1.36 X376 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X374 ) = 5.87/1.36 ( 5.87/1.36 X376 ) ) ) ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X378:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X380:$i]: 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X382:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X378 @ 5.87/1.36 X382 ) <=> 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X382 ) = 5.87/1.36 ( 5.87/1.36 X380 ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X384:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X378 @ 5.87/1.36 X384 ) & 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X386:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X378 @ 5.87/1.36 X386 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X384 ) = 5.87/1.36 ( 5.87/1.36 X386 ) ) ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X388:$i, 5.87/1.36 X390:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X388 ) = 5.87/1.36 ( 5.87/1.36 X390 ) ) => 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X392:$i, 5.87/1.36 X394:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X392 ) = 5.87/1.36 ( 5.87/1.36 X394 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X392 @ 5.87/1.36 X388 ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X394 @ 5.87/1.36 X390 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X396:$i, 5.87/1.36 X398:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X396 ) = 5.87/1.36 ( 5.87/1.36 X398 ) ) => 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X400:$i, 5.87/1.36 X402:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X400 ) = 5.87/1.36 ( 5.87/1.36 X402 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X400 @ 5.87/1.36 X396 ) <=> 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X402 @ 5.87/1.36 X398 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X404:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X406:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X404 @ 5.87/1.36 X406 ) & 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X408:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X404 @ 5.87/1.36 X408 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X406 ) = 5.87/1.36 ( 5.87/1.36 X408 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X410:$i, 5.87/1.36 X412:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X404 @ 5.87/1.36 X410 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X404 @ 5.87/1.36 X412 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X410 ) = 5.87/1.36 ( 5.87/1.36 X412 ) ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X414:( 5.87/1.36 $i > $o ), 5.87/1.36 X416:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X418:$i, 5.87/1.36 X420:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X418 ) = 5.87/1.36 ( 5.87/1.36 X420 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X414 @ 5.87/1.36 X418 ) <=> 5.87/1.36 ( 5.87/1.36 X416 @ 5.87/1.36 X420 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X422:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X414 @ 5.87/1.36 X422 ) & 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X424:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X414 @ 5.87/1.36 X424 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X422 ) = 5.87/1.36 ( 5.87/1.36 X424 ) ) ) ) ) ) <=> 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X426:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X416 @ 5.87/1.36 X426 ) & 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X428:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X416 @ 5.87/1.36 X428 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X426 ) = 5.87/1.36 ( 5.87/1.36 X428 ) ) ) ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 emptyset ) = 5.87/1.36 ( 5.87/1.36 emptyset ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X430:$i, 5.87/1.36 X432:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X430 ) = 5.87/1.36 ( 5.87/1.36 X432 ) ) => 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X434:$i, 5.87/1.36 X436:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X434 ) = 5.87/1.36 ( 5.87/1.36 X436 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X430 @ 5.87/1.36 X434 ) = 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X432 @ 5.87/1.36 X436 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X438:$i, 5.87/1.36 X440:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X438 ) = 5.87/1.36 ( 5.87/1.36 X440 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 X438 ) = 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 X440 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X442:$i, 5.87/1.36 X444:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X442 ) = 5.87/1.36 ( 5.87/1.36 X444 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 setunion @ 5.87/1.36 X442 ) = 5.87/1.36 ( 5.87/1.36 setunion @ 5.87/1.36 X444 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 omega ) = 5.87/1.36 ( 5.87/1.36 omega ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X446:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X448:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X446 @ 5.87/1.36 X448 ) & 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X450:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X446 @ 5.87/1.36 X450 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X448 ) = 5.87/1.36 ( 5.87/1.36 X450 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X452:$i, 5.87/1.36 X454:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X446 @ 5.87/1.36 X452 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X446 @ 5.87/1.36 X454 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X452 ) = 5.87/1.36 ( 5.87/1.36 X454 ) ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X456:( 5.87/1.36 $i > $o ), 5.87/1.36 X458:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X460:$i, 5.87/1.36 X462:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X460 ) = 5.87/1.36 ( 5.87/1.36 X462 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X456 @ 5.87/1.36 X460 ) <=> 5.87/1.36 ( 5.87/1.36 X458 @ 5.87/1.36 X462 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X464:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X456 @ 5.87/1.36 X464 ) & 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X466:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X456 @ 5.87/1.36 X466 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X464 ) = 5.87/1.36 ( 5.87/1.36 X466 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ?[ 5.87/1.36 X468:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X458 @ 5.87/1.36 X468 ) & 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X470:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X458 @ 5.87/1.36 X470 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X468 ) = 5.87/1.36 ( 5.87/1.36 X470 ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 descr @ 5.87/1.36 ( 5.87/1.36 ^[ 5.87/1.36 V_9:$i]: 5.87/1.36 ( 5.87/1.36 X456 @ V_9 ) ) ) = 5.87/1.36 ( 5.87/1.36 descr @ 5.87/1.36 ( 5.87/1.36 ^[ 5.87/1.36 V_10:$i]: 5.87/1.36 ( 5.87/1.36 X458 @ 5.87/1.36 V_10 ) ) ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X472:$i, 5.87/1.36 X474:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X472 ) = 5.87/1.36 ( 5.87/1.36 X474 ) ) => 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X476:( 5.87/1.36 $i > $o ), 5.87/1.36 X478:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X480:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X480 @ 5.87/1.36 X472 ) => 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X482:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X482 @ 5.87/1.36 X474 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X480 ) = 5.87/1.36 ( 5.87/1.36 X482 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X476 @ 5.87/1.36 X480 ) <=> 5.87/1.36 ( 5.87/1.36 X478 @ 5.87/1.36 X482 ) ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 dsetconstr 5.87/1.36 @ 5.87/1.36 X472 @ 5.87/1.36 ( 5.87/1.36 ^[ 5.87/1.36 V_11:$i]: 5.87/1.36 ( 5.87/1.36 X476 @ 5.87/1.36 V_11 ) ) ) = 5.87/1.36 ( 5.87/1.36 dsetconstr 5.87/1.36 @ 5.87/1.36 X474 @ 5.87/1.36 ( 5.87/1.36 ^[ 5.87/1.36 V_12:$i]: 5.87/1.36 ( 5.87/1.36 X478 @ 5.87/1.36 V_12 ) ) ) ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X484:$i, 5.87/1.36 X486:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X488:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X488 @ 5.87/1.36 X484 ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X488 @ 5.87/1.36 X486 ) ) ) => 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X484 @ 5.87/1.36 X486 ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X490:$i, 5.87/1.36 X492:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X490 ) = 5.87/1.36 ( 5.87/1.36 X492 ) ) => 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X492 @ 5.87/1.36 X490 ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X494:$i, 5.87/1.36 X496:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X494 ) = 5.87/1.36 ( 5.87/1.36 X496 ) ) => 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X494 @ 5.87/1.36 X496 ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X498:$i, 5.87/1.36 X500:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X502:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X502 @ 5.87/1.36 X498 ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X502 @ 5.87/1.36 X500 ) ) ) => 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X498 @ 5.87/1.36 X500 ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X504:$i]: 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 emptyset @ 5.87/1.36 X504 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X506:$i, 5.87/1.36 X508:$i, 5.87/1.36 X510:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X506 @ 5.87/1.36 X508 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X510 @ 5.87/1.36 X506 ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X510 @ 5.87/1.36 X508 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X512:$i, 5.87/1.36 X514:$i, 5.87/1.36 X516:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X512 @ 5.87/1.36 X514 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 in @ 5.87/1.36 X516 @ 5.87/1.36 X514 ) ) => 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 in @ 5.87/1.36 X516 @ 5.87/1.36 X512 ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X518:$i, 5.87/1.36 X520:$i, 5.87/1.36 X522:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X522 @ 5.87/1.36 X518 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 in @ 5.87/1.36 X522 @ 5.87/1.36 X520 ) ) => 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 subset @ 5.87/1.36 X518 @ 5.87/1.36 X520 ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X524:$i, 5.87/1.36 X526:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 subset @ 5.87/1.36 X524 @ 5.87/1.36 X526 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X524 ) != 5.87/1.36 ( 5.87/1.36 X526 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X528:$i, 5.87/1.36 X530:$i, 5.87/1.36 X532:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X532 @ 5.87/1.36 X528 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ~( 5.87/1.36 in @ 5.87/1.36 X532 @ 5.87/1.36 X530 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X528 ) != 5.87/1.36 ( 5.87/1.36 X530 ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X534:$i]: 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X534 @ 5.87/1.36 X534 ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X536:$i, 5.87/1.36 X538:$i, 5.87/1.36 X540:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X536 @ 5.87/1.36 X538 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X538 @ 5.87/1.36 X540 ) => 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X536 @ 5.87/1.36 X540 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X542:$i, 5.87/1.36 X544:$i]: 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X544 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X542 @ 5.87/1.36 X544 ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X546:$i, 5.87/1.36 X548:$i, 5.87/1.36 X550:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X546 @ 5.87/1.36 X550 ) => 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X546 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X548 @ 5.87/1.36 X550 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X552:$i, 5.87/1.36 X554:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X552 @ 5.87/1.36 X554 ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X552 @ 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 X554 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X556:$i, 5.87/1.36 X558:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X556 @ 5.87/1.36 X558 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X558 @ 5.87/1.36 X556 ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X556 ) = 5.87/1.36 ( 5.87/1.36 X558 ) ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X560:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X560 @ 5.87/1.36 emptyset ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 X560 ) = 5.87/1.36 ( 5.87/1.36 emptyset ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X562:$i, 5.87/1.36 X564:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X564 @ 5.87/1.36 X562 ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X564 @ 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 X562 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X566:$i, 5.87/1.36 X568:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X568 @ 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 X566 ) ) => 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X568 @ 5.87/1.36 X566 ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X570:$i]: 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X570 @ 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 X570 ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X572:$i, 5.87/1.36 X574:$i]: 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 X572 @ 5.87/1.36 X574 ) => 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 X572 ) @ 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 X574 ) ) ) ) => 5.87/1.36 ( 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X576:$i, 5.87/1.36 X578:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 ( 5.87/1.36 dsetconstr 5.87/1.36 @ 5.87/1.36 X576 @ 5.87/1.36 ( 5.87/1.36 ^[ 5.87/1.36 V_13:$i]: 5.87/1.36 ( 5.87/1.36 X578 @ 5.87/1.36 V_13 ) ) ) @ 5.87/1.36 ( 5.87/1.36 powerset @ 5.87/1.36 X576 ) ) ) => 5.87/1.36 ( 5.87/1.36 ![ 5.87/1.36 X580:$i, 5.87/1.36 X582:( 5.87/1.36 $i > $o )]: 5.87/1.36 ( 5.87/1.36 subset @ 5.87/1.36 ( 5.87/1.36 dsetconstr 5.87/1.36 @ 5.87/1.36 X580 @ 5.87/1.36 ( 5.87/1.36 ^[ 5.87/1.36 V_14:$i]: 5.87/1.36 ( 5.87/1.36 X582 @ 5.87/1.36 V_14 ) ) ) @ 5.87/1.36 X580 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 5.87/1.36 thf(zf_stmt_1, type, zip_tseitin_5 : $i > ( $i > $o ) > $o). 5.87/1.36 thf(zf_stmt_2, axiom, 5.87/1.36 (![X422:$i,X414:( $i > $o )]: 5.87/1.36 ( ( zip_tseitin_5 @ X422 @ X414 ) <=> 5.87/1.36 ( ( ![X424:$i]: ( zip_tseitin_4 @ X424 @ X422 @ X414 ) ) & 5.87/1.36 ( X414 @ X422 ) ) ))). 5.87/1.36 thf(zf_stmt_3, type, zip_tseitin_4 : $i > $i > ( $i > $o ) > $o). 5.87/1.36 thf(zf_stmt_4, axiom, 5.87/1.36 (![X424:$i,X422:$i,X414:( $i > $o )]: 5.87/1.36 ( ( zip_tseitin_4 @ X424 @ X422 @ X414 ) <=> 5.87/1.36 ( ( X414 @ X424 ) => ( ( X422 ) = ( X424 ) ) ) ))). 5.87/1.36 thf(zf_stmt_5, type, zip_tseitin_3 : $i > $i > $i > ( $i > $i > $o ) > $o). 5.87/1.36 thf(zf_stmt_6, axiom, 5.87/1.36 (![X52:$i,X50:$i,X40:$i,X38:( $i > $i > $o )]: 5.87/1.36 ( ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) <=> 5.87/1.36 ( ( X38 @ X52 @ X50 ) & ( in @ X52 @ X40 ) ) ))). 5.87/1.36 thf(zf_stmt_7, type, zip_tseitin_2 : $i > $i > $i > $o). 5.87/1.36 thf(zf_stmt_8, axiom, 5.87/1.36 (![X28:$i,X26:$i,X24:$i]: 5.87/1.36 ( ( zip_tseitin_2 @ X28 @ X26 @ X24 ) <=> 5.87/1.36 ( ( in @ X28 @ X24 ) & ( in @ X26 @ X28 ) ) ))). 5.87/1.36 thf(zf_stmt_9, type, zip_tseitin_1 : $i > $i > $i > $o). 5.87/1.36 thf(zf_stmt_10, axiom, 5.87/1.36 (![X22:$i,X20:$i,X18:$i]: 5.87/1.36 ( ( zip_tseitin_1 @ X22 @ X20 @ X18 ) <=> 5.87/1.36 ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ))). 5.87/1.36 thf(zf_stmt_11, type, zip_tseitin_0 : $i > $i > $i > $o). 5.87/1.36 thf(zf_stmt_12, axiom, 5.87/1.36 (![X16:$i,X14:$i,X12:$i]: 5.87/1.36 ( ( zip_tseitin_0 @ X16 @ X14 @ X12 ) <=> 5.87/1.36 ( ( ( X16 ) = ( X12 ) ) | ( in @ X16 @ X14 ) ) ))). 5.87/1.36 thf(zf_stmt_13, conjecture, 5.87/1.36 (( ![X4:$i,X6:$i]: 5.87/1.36 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 5.87/1.36 ( ( X4 ) = ( X6 ) ) ) ) => 5.87/1.36 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 5.87/1.36 ( ( ![X12:$i,X14:$i,X16:$i]: 5.87/1.36 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 5.87/1.36 ( zip_tseitin_0 @ X16 @ X14 @ X12 ) ) ) => 5.87/1.36 ( ( ![X18:$i,X20:$i]: 5.87/1.36 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 5.87/1.36 ( ![X22:$i]: ( zip_tseitin_1 @ X22 @ X20 @ X18 ) ) ) ) => 5.87/1.36 ( ( ![X24:$i,X26:$i]: 5.87/1.36 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 5.87/1.36 ( ?[X28:$i]: ( zip_tseitin_2 @ X28 @ X26 @ X24 ) ) ) ) => 5.87/1.36 ( ( in @ emptyset @ omega ) => 5.87/1.36 ( ( ![X30:$i]: 5.87/1.36 ( ( in @ X30 @ omega ) => 5.87/1.36 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 5.87/1.36 ( ( ![X32:$i]: 5.87/1.36 ( ( ( in @ emptyset @ X32 ) & 5.87/1.36 ( ![X34:$i]: 5.87/1.36 ( ( ( in @ X34 @ omega ) & ( in @ X34 @ X32 ) ) => 5.87/1.36 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) ) => 5.87/1.36 ( ![X36:$i]: 5.87/1.36 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 5.87/1.36 ( ( ![X38:( $i > $i > $o ),X40:$i]: 5.87/1.36 ( ( ![X42:$i]: 5.87/1.36 ( ( in @ X42 @ X40 ) => 5.87/1.36 ( ?[X44:$i]: 5.87/1.36 ( ( ![X46:$i]: 5.87/1.36 ( ( X38 @ X42 @ X46 ) => 5.87/1.36 ( ( X44 ) = ( X46 ) ) ) ) & 5.87/1.36 ( X38 @ X42 @ X44 ) ) ) ) ) => 5.87/1.36 ( ?[X48:$i]: 5.87/1.36 ( ![X50:$i]: 5.87/1.36 ( ( in @ X50 @ X48 ) <=> 5.87/1.36 ( ?[X52:$i]: 5.87/1.36 ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) ) ) ) ) ) ) => 5.87/1.36 ( ( ![X54:$i]: 5.87/1.36 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 5.87/1.36 ( ?[X58:$i]: 5.87/1.36 ( ( ~( ?[X60:$i]: 5.87/1.36 ( ( in @ X60 @ X54 ) & ( in @ X60 @ X58 ) ) ) ) & 5.87/1.36 ( in @ X58 @ X54 ) ) ) ) ) => 5.87/1.36 ( ( ![X62:$i]: 5.87/1.36 ( ?[X64:$i]: 5.87/1.36 ( ( ![X66:$i]: 5.87/1.36 ( ( ( ![X68:$i]: 5.87/1.36 ( ( in @ X68 @ X66 ) => 5.87/1.36 ( in @ X68 @ X62 ) ) ) & 5.87/1.36 ( ?[X70:$i]: ( in @ X70 @ X66 ) ) ) => 5.87/1.36 ( ?[X72:$i,X74:$i]: 5.87/1.36 ( ( ![X76:$i]: 5.87/1.36 ( ( in @ X76 @ X64 ) => 5.87/1.36 ( ( ![X78:$i]: 5.87/1.36 ( ( in @ X78 @ X76 ) => 5.87/1.36 ( in @ X78 @ X72 ) ) ) | 5.87/1.36 ( in @ X74 @ X76 ) ) ) ) & 5.87/1.36 ( ~( ?[X80:$i]: 5.87/1.36 ( ( in @ X80 @ X66 ) & 5.87/1.36 ( in @ X80 @ X72 ) ) ) ) & 5.87/1.36 ( in @ X74 @ X66 ) & ( in @ X72 @ X64 ) ) ) ) ) & 5.87/1.36 ( ![X82:$i,X84:$i]: 5.87/1.36 ( ( ( in @ X82 @ X64 ) & ( in @ X84 @ X64 ) ) => 5.87/1.36 ( ( ![X86:$i]: 5.87/1.36 ( ( in @ X86 @ X82 ) => 5.87/1.36 ( in @ X86 @ X84 ) ) ) | 5.87/1.36 ( ![X88:$i]: 5.87/1.36 ( ( in @ X88 @ X84 ) => 5.87/1.36 ( in @ X88 @ X82 ) ) ) ) ) ) & 5.87/1.36 ( ![X90:$i,X92:$i]: 5.87/1.36 ( ( ( in @ X90 @ X62 ) & ( in @ X92 @ X62 ) ) => 5.87/1.36 ( ( ![X94:$i]: 5.87/1.36 ( ( in @ X94 @ X64 ) => 5.87/1.36 ( ( in @ X90 @ X94 ) <=> 5.87/1.36 ( in @ X92 @ X94 ) ) ) ) => 5.87/1.36 ( ( X90 ) = ( X92 ) ) ) ) ) & 5.87/1.36 ( ![X96:$i]: 5.87/1.36 ( ( in @ X96 @ X64 ) => 5.87/1.36 ( ![X98:$i]: 5.87/1.36 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) ) ) ) => 5.87/1.36 ( ( ![X100:( $i > $o )]: 5.87/1.36 ( ( ?[X102:$i]: 5.87/1.36 ( ( ![X104:$i]: 5.87/1.36 ( ( X100 @ X104 ) => 5.87/1.36 ( ( X102 ) = ( X104 ) ) ) ) & 5.87/1.36 ( X100 @ X102 ) ) ) => 5.87/1.36 ( X100 @ 5.87/1.36 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 5.87/1.36 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 5.87/1.36 ( ( in @ X110 @ X106 ) => 5.87/1.36 ( ( X108 @ X110 ) => 5.87/1.36 ( in @ 5.87/1.36 X110 @ 5.87/1.36 ( dsetconstr @ 5.87/1.36 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 5.87/1.36 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 5.87/1.36 ( ( in @ 5.87/1.36 X116 @ 5.87/1.36 ( dsetconstr @ 5.87/1.36 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 5.87/1.36 ( in @ X116 @ X112 ) ) ) => 5.87/1.36 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 5.87/1.36 ( ( in @ 5.87/1.36 X122 @ 5.87/1.36 ( dsetconstr @ 5.87/1.36 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 5.87/1.36 ( X120 @ X122 ) ) ) => 5.87/1.36 ( ( ![X124:( $i > $o )]: 5.87/1.36 ( ( ?[X126:$i]: 5.87/1.36 ( ( ![X128:$i]: 5.87/1.36 ( ( X124 @ X128 ) => 5.87/1.36 ( ( X126 ) = ( X128 ) ) ) ) & 5.87/1.36 ( X124 @ X126 ) ) ) => 5.87/1.36 ( ?[X130:$i]: 5.87/1.36 ( ( ![X132:$i]: 5.87/1.36 ( ( X124 @ X132 ) => 5.87/1.36 ( ( X130 ) = ( X132 ) ) ) ) & 5.87/1.36 ( X124 @ X130 ) ) ) ) ) => 5.87/1.36 ( ( ![X134:$o,X136:$i]: 5.87/1.36 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 5.87/1.36 ( X134 ) ) ) => 5.87/1.36 ( ( ![X138:$i]: 5.87/1.36 ( ( in @ X138 @ emptyset ) => 5.87/1.36 ( ![X140:$o]: ( X140 ) ) ) ) => 5.87/1.36 ( ( ![X142:$i]: 5.87/1.36 ( ~( in @ X142 @ emptyset ) ) ) => 5.87/1.36 ( ( ![X144:$i]: 5.87/1.36 ( ~( in @ X144 @ emptyset ) ) ) => 5.87/1.36 ( ( ![X146:( $i > $o )]: 5.87/1.36 ( ( ?[X148:$i]: 5.87/1.36 ( ( ![X150:$i]: 5.87/1.36 ( ( X146 @ X150 ) => 5.87/1.36 ( ( X148 ) = ( X150 ) ) ) ) & 5.87/1.36 ( X146 @ X148 ) ) ) => 5.87/1.36 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 5.87/1.36 ( ( ![X154:$i,X156:$i]: 5.87/1.36 ( ( ![X158:$i]: 5.87/1.36 ( ( in @ X158 @ X154 ) => 5.87/1.36 ( in @ X158 @ X156 ) ) ) => 5.87/1.36 ( ( ![X160:$i]: 5.87/1.36 ( ( in @ X160 @ X156 ) => 5.87/1.36 ( in @ X160 @ X154 ) ) ) => 5.87/1.36 ( ( X154 ) = ( X156 ) ) ) ) ) => 5.87/1.36 ( ( ![X162:$i]: 5.87/1.36 ( ( ![X164:$i]: 5.87/1.36 ( ~( in @ X164 @ X162 ) ) ) => 5.87/1.36 ( ( X162 ) = ( emptyset ) ) ) ) => 5.87/1.36 ( ( ![X166:$i]: 5.87/1.36 ( ( ![X168:$i]: 5.87/1.36 ( ~( in @ X168 @ X166 ) ) ) => 5.87/1.36 ( ( X166 ) = 5.87/1.36 ( emptyset ) ) ) ) => 5.87/1.36 ( ( ![X170:$i, 5.87/1.36 X172:( $i > $o ), 5.87/1.36 X174:$i]: 5.87/1.36 ( ( in @ X174 @ X170 ) => 5.87/1.36 ( ( in @ 5.87/1.36 X174 @ 5.87/1.36 ( dsetconstr @ 5.87/1.36 X170 @ 5.87/1.36 ( ^[V_5:$i]: 5.87/1.36 ( X172 @ V_5 ) ) ) ) <=> 5.87/1.36 ( X172 @ X174 ) ) ) ) => 5.87/1.36 ( ( ![X176:$i]: 5.87/1.36 ( ( ( X176 ) != 5.87/1.36 ( emptyset ) ) => 5.87/1.36 ( ?[X178:$i]: 5.87/1.36 ( in @ X178 @ X176 ) ) ) ) => 5.87/1.36 ( ( ![X180:$i, 5.87/1.36 X182:( $i > $o ), 5.87/1.36 X184:$i]: 5.87/1.36 ( ( in @ X184 @ X180 ) => 5.87/1.36 ( ( X182 @ X184 ) => 5.87/1.36 ( ( dsetconstr @ 5.87/1.36 X180 @ 5.87/1.36 ( ^[ 5.87/1.36 V_6:$i]: 5.87/1.36 ( 5.87/1.36 X182 @ V_6 ) ) ) != 5.87/1.36 ( emptyset ) ) ) ) ) => 5.87/1.36 ( ( ![X186:$i]: 5.87/1.36 ( ( ?[X188:$i]: 5.87/1.36 ( in @ 5.87/1.36 X188 @ X186 ) ) => 5.87/1.36 ( ( X186 ) != 5.87/1.36 ( emptyset ) ) ) ) => 5.87/1.36 ( ( ![X190:$i, 5.87/1.36 X192:$i]: 5.87/1.36 ( in @ 5.87/1.36 X190 @ 5.87/1.36 ( setadjoin @ 5.87/1.36 X190 @ X192 ) ) ) => 5.87/1.36 ( ( in @ 5.87/1.36 emptyset @ 5.87/1.36 ( setadjoin @ 5.87/1.36 emptyset @ 5.87/1.36 emptyset ) ) => 5.87/1.36 ( ( ![X194:$i, 5.87/1.36 X196:$i, 5.87/1.36 X198:$i]: 5.87/1.36 ( ( 5.87/1.36 in @ 5.87/1.36 X198 @ 5.87/1.36 X196 ) => 5.87/1.36 ( 5.87/1.36 in @ 5.87/1.36 X198 @ 5.87/1.36 ( 5.87/1.36 setadjoin 5.87/1.36 @ 5.87/1.36 X194 @ 5.87/1.36 X196 ) ) ) ) => 5.87/1.36 ( ( ![ 5.87/1.36 X200:$i, 5.87/1.36 X202:$i, 5.87/1.36 X204:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X204 @ 6.07/1.36 ( 6.07/1.36 setadjoin 6.07/1.36 @ 6.07/1.36 X200 @ 6.07/1.36 X202 ) ) => 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X206:$o]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X204 ) = 6.07/1.36 ( 6.07/1.36 X200 ) ) => 6.07/1.36 ( 6.07/1.36 X206 ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X204 @ 6.07/1.36 X202 ) => 6.07/1.36 ( 6.07/1.36 X206 ) ) => 6.07/1.36 ( 6.07/1.36 X206 ) ) ) ) ) ) => 6.07/1.36 ( ( 6.07/1.36 ![ 6.07/1.36 X208:$i, 6.07/1.36 X210:$i, 6.07/1.36 X212:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X212 @ 6.07/1.36 ( 6.07/1.36 setadjoin 6.07/1.36 @ 6.07/1.36 X208 @ 6.07/1.36 X210 ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X212 ) = 6.07/1.36 ( 6.07/1.36 X208 ) ) | 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X212 @ 6.07/1.36 X210 ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X214:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 dsetconstr 6.07/1.36 @ 6.07/1.36 X214 @ 6.07/1.36 ( 6.07/1.36 ^[ 6.07/1.36 V_7:$i]: 6.07/1.36 ( 6.07/1.36 $true ) ) ) = 6.07/1.36 ( 6.07/1.36 X214 ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X216:$i, 6.07/1.36 X218:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X220:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X220 @ 6.07/1.36 X218 ) => 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X220 @ 6.07/1.36 X216 ) ) ) => 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X218 @ 6.07/1.36 ( 6.07/1.36 powerset @ 6.07/1.36 X216 ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X222:$i]: 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 emptyset @ 6.07/1.36 ( 6.07/1.36 powerset @ 6.07/1.36 X222 ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X224:$i]: 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 emptyset @ 6.07/1.36 ( 6.07/1.36 powerset @ 6.07/1.36 X224 ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X226:$i, 6.07/1.36 X228:$i, 6.07/1.36 X230:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X228 @ 6.07/1.36 ( 6.07/1.36 powerset @ 6.07/1.36 X226 ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X230 @ 6.07/1.36 X228 ) => 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X230 @ 6.07/1.36 X226 ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X232:$i, 6.07/1.36 X234:$i, 6.07/1.36 X236:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X234 @ 6.07/1.36 X236 ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X236 @ 6.07/1.36 X232 ) => 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X234 @ 6.07/1.36 ( 6.07/1.36 setunion @ 6.07/1.36 X232 ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X238:$i, 6.07/1.36 X240:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X240 @ 6.07/1.36 ( 6.07/1.36 setunion @ 6.07/1.36 X238 ) ) => 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X242:$o]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X244:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X240 @ 6.07/1.36 X244 ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X244 @ 6.07/1.36 X238 ) => 6.07/1.36 ( 6.07/1.36 X242 ) ) ) ) => 6.07/1.36 ( 6.07/1.36 X242 ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X246:$i, 6.07/1.36 X248:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X248 @ 6.07/1.36 X246 ) => 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X248 @ 6.07/1.36 ( 6.07/1.36 powerset @ 6.07/1.36 ( 6.07/1.36 setunion @ 6.07/1.36 X246 ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X250:( 6.07/1.36 $i > $o )]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X252:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X254:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X250 @ 6.07/1.36 X254 ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X252 ) = 6.07/1.36 ( 6.07/1.36 X254 ) ) ) ) & 6.07/1.36 ( 6.07/1.36 X250 @ 6.07/1.36 X252 ) ) ) => 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X256:$i]: 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X258:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X250 @ 6.07/1.36 X258 ) <=> 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X258 ) = 6.07/1.36 ( 6.07/1.36 X256 ) ) ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X260:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X260 ) != 6.07/1.36 ( 6.07/1.36 emptyset ) ) => 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X262:$i]: 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X262 @ 6.07/1.36 X260 ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X264:$i, 6.07/1.36 X266:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X264 @ 6.07/1.36 ( 6.07/1.36 setadjoin 6.07/1.36 @ 6.07/1.36 X266 @ 6.07/1.36 emptyset ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X264 ) = 6.07/1.36 ( 6.07/1.36 X266 ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X268:$i, 6.07/1.36 X270:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X268 ) != 6.07/1.36 ( 6.07/1.36 X270 ) ) => 6.07/1.36 ( 6.07/1.36 ~( 6.07/1.36 in @ 6.07/1.36 X270 @ 6.07/1.36 ( 6.07/1.36 setadjoin 6.07/1.36 @ 6.07/1.36 X268 @ 6.07/1.36 emptyset ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X272:$i, 6.07/1.36 X274:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X272 ) = 6.07/1.36 ( 6.07/1.36 X274 ) ) => 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X272 @ 6.07/1.36 ( 6.07/1.36 setadjoin 6.07/1.36 @ 6.07/1.36 X274 @ 6.07/1.36 emptyset ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X276:$i, 6.07/1.36 X278:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X276 @ 6.07/1.36 ( 6.07/1.36 setadjoin 6.07/1.36 @ 6.07/1.36 X278 @ 6.07/1.36 emptyset ) ) => 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X278 @ 6.07/1.36 ( 6.07/1.36 setadjoin 6.07/1.36 @ 6.07/1.36 X276 @ 6.07/1.36 emptyset ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X280:$i, 6.07/1.36 X282:$i, 6.07/1.36 X284:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X284 @ 6.07/1.36 ( 6.07/1.36 setadjoin 6.07/1.36 @ 6.07/1.36 X280 @ 6.07/1.36 ( 6.07/1.36 setadjoin 6.07/1.36 @ 6.07/1.36 X282 @ 6.07/1.36 emptyset ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X284 ) = 6.07/1.36 ( 6.07/1.36 X280 ) ) | 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X284 ) = 6.07/1.36 ( 6.07/1.36 X282 ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X286:$i, 6.07/1.36 X288:$i]: 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X286 @ 6.07/1.36 ( 6.07/1.36 setadjoin 6.07/1.36 @ 6.07/1.36 X286 @ 6.07/1.36 ( 6.07/1.36 setadjoin 6.07/1.36 @ 6.07/1.36 X288 @ 6.07/1.36 emptyset ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X290:$i, 6.07/1.36 X292:$i]: 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X292 @ 6.07/1.36 ( 6.07/1.36 setadjoin 6.07/1.36 @ 6.07/1.36 X290 @ 6.07/1.36 ( 6.07/1.36 setadjoin 6.07/1.36 @ 6.07/1.36 X292 @ 6.07/1.36 emptyset ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X294:$i, 6.07/1.36 X296:( 6.07/1.36 $i > $o )]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X298:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X296 @ 6.07/1.36 X298 ) & 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X298 @ 6.07/1.36 X294 ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 dsetconstr 6.07/1.36 @ 6.07/1.36 X294 @ 6.07/1.36 ( 6.07/1.36 ^[ 6.07/1.36 V_8:$i]: 6.07/1.36 ( 6.07/1.36 X296 @ V_8 ) ) ) != 6.07/1.36 ( 6.07/1.36 emptyset ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X300:( 6.07/1.36 $i > $o ), 6.07/1.36 X302:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X302 @ 6.07/1.36 emptyset ) => 6.07/1.36 ( 6.07/1.36 X300 @ 6.07/1.36 X302 ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X304:$i, 6.07/1.36 X306:( 6.07/1.36 $i > $o )]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ~( 6.07/1.36 ![ 6.07/1.36 X308:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X308 @ 6.07/1.36 X304 ) => 6.07/1.36 ( 6.07/1.36 X306 @ 6.07/1.36 X308 ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X310:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ~( 6.07/1.36 X306 @ 6.07/1.36 X310 ) ) & 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X310 @ 6.07/1.36 X304 ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X312:$i, 6.07/1.36 X314:( 6.07/1.36 $i > $o )]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X316:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X316 @ 6.07/1.36 X312 ) => 6.07/1.36 ( 6.07/1.36 ~( 6.07/1.36 X314 @ 6.07/1.36 X316 ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ~( 6.07/1.36 ?[ 6.07/1.36 X318:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X314 @ 6.07/1.36 X318 ) & 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X318 @ 6.07/1.36 X312 ) ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X320:$i, 6.07/1.36 X322:( 6.07/1.36 $i > $o )]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ~( 6.07/1.36 ?[ 6.07/1.36 X324:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X322 @ 6.07/1.36 X324 ) & 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X324 @ 6.07/1.36 X320 ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X326:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X326 @ 6.07/1.36 X320 ) => 6.07/1.36 ( 6.07/1.36 ~( 6.07/1.36 X322 @ 6.07/1.36 X326 ) ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X328:$i, 6.07/1.36 X330:( 6.07/1.36 $i > $o )]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X332:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ~( 6.07/1.36 X330 @ 6.07/1.36 X332 ) ) & 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X332 @ 6.07/1.36 X328 ) ) ) => 6.07/1.36 ( 6.07/1.36 ~( 6.07/1.36 ![ 6.07/1.36 X334:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X334 @ 6.07/1.36 X328 ) => 6.07/1.36 ( 6.07/1.36 X330 @ 6.07/1.36 X334 ) ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X336:$o]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X336 ) => 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 emptyset @ 6.07/1.36 ( 6.07/1.36 prop2set @ 6.07/1.36 X336 ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X338:$o]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X338 ) => 6.07/1.36 ( 6.07/1.36 set2prop @ 6.07/1.36 ( 6.07/1.36 prop2set @ 6.07/1.36 X338 ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X340:$i, 6.07/1.36 X342:( 6.07/1.36 $i > $o )]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ~( 6.07/1.36 ?[ 6.07/1.36 X344:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X342 @ 6.07/1.36 X344 ) & 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X344 @ 6.07/1.36 X340 ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X346:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X346 @ 6.07/1.36 X340 ) => 6.07/1.36 ( 6.07/1.36 ~( 6.07/1.36 X342 @ 6.07/1.36 X346 ) ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X348:$i, 6.07/1.36 X350:( 6.07/1.36 $i > $o )]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ~( 6.07/1.36 ![ 6.07/1.36 X352:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X352 @ 6.07/1.36 X348 ) => 6.07/1.36 ( 6.07/1.36 X350 @ 6.07/1.36 X352 ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X354:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ~( 6.07/1.36 X350 @ 6.07/1.36 X354 ) ) & 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X354 @ 6.07/1.36 X348 ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X356:( 6.07/1.36 $i > $o )]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X358:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X360:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X356 @ 6.07/1.36 X360 ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X358 ) = 6.07/1.36 ( 6.07/1.36 X360 ) ) ) ) & 6.07/1.36 ( 6.07/1.36 X356 @ 6.07/1.36 X358 ) ) ) => 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X362:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X364:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X356 @ 6.07/1.36 X364 ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X362 ) = 6.07/1.36 ( 6.07/1.36 X364 ) ) ) ) & 6.07/1.36 ( 6.07/1.36 X356 @ 6.07/1.36 X362 ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X366:( 6.07/1.36 $i > $o )]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X368:$i]: 6.07/1.36 ( 6.07/1.36 X366 @ 6.07/1.36 X368 ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X370:$i, 6.07/1.36 X372:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X366 @ 6.07/1.36 X370 ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X366 @ 6.07/1.36 X372 ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X370 ) = 6.07/1.36 ( 6.07/1.36 X372 ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X374:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X376:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X366 @ 6.07/1.36 X376 ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X374 ) = 6.07/1.36 ( 6.07/1.36 X376 ) ) ) ) & 6.07/1.36 ( 6.07/1.36 X366 @ 6.07/1.36 X374 ) ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X378:( 6.07/1.36 $i > $o )]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X380:$i]: 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X382:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X378 @ 6.07/1.36 X382 ) <=> 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X382 ) = 6.07/1.36 ( 6.07/1.36 X380 ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X384:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X386:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X378 @ 6.07/1.36 X386 ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X384 ) = 6.07/1.36 ( 6.07/1.36 X386 ) ) ) ) & 6.07/1.36 ( 6.07/1.36 X378 @ 6.07/1.36 X384 ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X388:$i, 6.07/1.36 X390:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X388 ) = 6.07/1.36 ( 6.07/1.36 X390 ) ) => 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X392:$i, 6.07/1.36 X394:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X392 ) = 6.07/1.36 ( 6.07/1.36 X394 ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X392 @ 6.07/1.36 X388 ) => 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X394 @ 6.07/1.36 X390 ) ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X396:$i, 6.07/1.36 X398:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X396 ) = 6.07/1.36 ( 6.07/1.36 X398 ) ) => 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X400:$i, 6.07/1.36 X402:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X400 ) = 6.07/1.36 ( 6.07/1.36 X402 ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X400 @ 6.07/1.36 X396 ) <=> 6.07/1.36 ( 6.07/1.36 in @ 6.07/1.36 X402 @ 6.07/1.36 X398 ) ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X404:( 6.07/1.36 $i > $o )]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ?[ 6.07/1.36 X406:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X408:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X404 @ 6.07/1.36 X408 ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X406 ) = 6.07/1.36 ( 6.07/1.36 X408 ) ) ) ) & 6.07/1.36 ( 6.07/1.36 X404 @ 6.07/1.36 X406 ) ) ) => 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X410:$i, 6.07/1.36 X412:$i]: 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X404 @ 6.07/1.36 X410 ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X404 @ 6.07/1.36 X412 ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 X410 ) = 6.07/1.36 ( 6.07/1.36 X412 ) ) ) ) ) ) ) => 6.07/1.36 ( 6.07/1.36 ( 6.07/1.36 ![ 6.07/1.36 X414:( 6.07/1.36 $i > $o ), 6.07/1.36 X416:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X418:$i, 6.07/1.37 X420:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X418 ) = 6.07/1.37 ( 6.07/1.37 X420 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X414 @ 6.07/1.37 X418 ) <=> 6.07/1.37 ( 6.07/1.37 X416 @ 6.07/1.37 X420 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X422:$i]: 6.07/1.37 ( 6.07/1.37 zip_tseitin_5 6.07/1.37 @ 6.07/1.37 X422 @ 6.07/1.37 X414 ) ) <=> 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X426:$i]: 6.07/1.37 ( 6.07/1.37 zip_tseitin_5 6.07/1.37 @ 6.07/1.37 X426 @ 6.07/1.37 X416 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 emptyset ) = 6.07/1.37 ( 6.07/1.37 emptyset ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X430:$i, 6.07/1.37 X432:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X430 ) = 6.07/1.37 ( 6.07/1.37 X432 ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X434:$i, 6.07/1.37 X436:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X434 ) = 6.07/1.37 ( 6.07/1.37 X436 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X430 @ 6.07/1.37 X434 ) = 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X432 @ 6.07/1.37 X436 ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X438:$i, 6.07/1.37 X440:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X438 ) = 6.07/1.37 ( 6.07/1.37 X440 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 powerset @ 6.07/1.37 X438 ) = 6.07/1.37 ( 6.07/1.37 powerset @ 6.07/1.37 X440 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X442:$i, 6.07/1.37 X444:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X442 ) = 6.07/1.37 ( 6.07/1.37 X444 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 setunion @ 6.07/1.37 X442 ) = 6.07/1.37 ( 6.07/1.37 setunion @ 6.07/1.37 X444 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 omega ) = 6.07/1.37 ( 6.07/1.37 omega ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X446:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X448:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X450:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X446 @ 6.07/1.37 X450 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X448 ) = 6.07/1.37 ( 6.07/1.37 X450 ) ) ) ) & 6.07/1.37 ( 6.07/1.37 X446 @ 6.07/1.37 X448 ) ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X452:$i, 6.07/1.37 X454:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X446 @ 6.07/1.37 X452 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X446 @ 6.07/1.37 X454 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X452 ) = 6.07/1.37 ( 6.07/1.37 X454 ) ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X456:( 6.07/1.37 $i > $o ), 6.07/1.37 X458:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X460:$i, 6.07/1.37 X462:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X460 ) = 6.07/1.37 ( 6.07/1.37 X462 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X456 @ 6.07/1.37 X460 ) <=> 6.07/1.37 ( 6.07/1.37 X458 @ 6.07/1.37 X462 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X464:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X466:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X456 @ 6.07/1.37 X466 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X464 ) = 6.07/1.37 ( 6.07/1.37 X466 ) ) ) ) & 6.07/1.37 ( 6.07/1.37 X456 @ 6.07/1.37 X464 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X468:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X470:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X458 @ 6.07/1.37 X470 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X468 ) = 6.07/1.37 ( 6.07/1.37 X470 ) ) ) ) & 6.07/1.37 ( 6.07/1.37 X458 @ 6.07/1.37 X468 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 descr @ 6.07/1.37 ( 6.07/1.37 ^[ 6.07/1.37 V_9:$i]: 6.07/1.37 ( 6.07/1.37 X456 @ V_9 ) ) ) = 6.07/1.37 ( 6.07/1.37 descr @ 6.07/1.37 ( 6.07/1.37 ^[ 6.07/1.37 V_10:$i]: 6.07/1.37 ( 6.07/1.37 X458 @ 6.07/1.37 V_10 ) ) ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X472:$i, 6.07/1.37 X474:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X472 ) = 6.07/1.37 ( 6.07/1.37 X474 ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X476:( 6.07/1.37 $i > $o ), 6.07/1.37 X478:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X480:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X480 @ 6.07/1.37 X472 ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X482:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X482 @ 6.07/1.37 X474 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X480 ) = 6.07/1.37 ( 6.07/1.37 X482 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X476 @ 6.07/1.37 X480 ) <=> 6.07/1.37 ( 6.07/1.37 X478 @ 6.07/1.37 X482 ) ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 dsetconstr 6.07/1.37 @ 6.07/1.37 X472 @ 6.07/1.37 ( 6.07/1.37 ^[ 6.07/1.37 V_11:$i]: 6.07/1.37 ( 6.07/1.37 X476 @ 6.07/1.37 V_11 ) ) ) = 6.07/1.37 ( 6.07/1.37 dsetconstr 6.07/1.37 @ 6.07/1.37 X474 @ 6.07/1.37 ( 6.07/1.37 ^[ 6.07/1.37 V_12:$i]: 6.07/1.37 ( 6.07/1.37 X478 @ 6.07/1.37 V_12 ) ) ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X484:$i, 6.07/1.37 X486:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X488:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X488 @ 6.07/1.37 X484 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X488 @ 6.07/1.37 X486 ) ) ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X484 @ 6.07/1.37 X486 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X490:$i, 6.07/1.37 X492:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X490 ) = 6.07/1.37 ( 6.07/1.37 X492 ) ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X492 @ 6.07/1.37 X490 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X494:$i, 6.07/1.37 X496:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X494 ) = 6.07/1.37 ( 6.07/1.37 X496 ) ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X494 @ 6.07/1.37 X496 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X498:$i, 6.07/1.37 X500:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X502:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X502 @ 6.07/1.37 X498 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X502 @ 6.07/1.37 X500 ) ) ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X498 @ 6.07/1.37 X500 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X504:$i]: 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 emptyset @ 6.07/1.37 X504 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X506:$i, 6.07/1.37 X508:$i, 6.07/1.37 X510:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X506 @ 6.07/1.37 X508 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X510 @ 6.07/1.37 X506 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X510 @ 6.07/1.37 X508 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X512:$i, 6.07/1.37 X514:$i, 6.07/1.37 X516:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X512 @ 6.07/1.37 X514 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~( 6.07/1.37 in @ 6.07/1.37 X516 @ 6.07/1.37 X514 ) ) => 6.07/1.37 ( 6.07/1.37 ~( 6.07/1.37 in @ 6.07/1.37 X516 @ 6.07/1.37 X512 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X518:$i, 6.07/1.37 X520:$i, 6.07/1.37 X522:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X522 @ 6.07/1.37 X518 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~( 6.07/1.37 in @ 6.07/1.37 X522 @ 6.07/1.37 X520 ) ) => 6.07/1.37 ( 6.07/1.37 ~( 6.07/1.37 subset @ 6.07/1.37 X518 @ 6.07/1.37 X520 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X524:$i, 6.07/1.37 X526:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~( 6.07/1.37 subset @ 6.07/1.37 X524 @ 6.07/1.37 X526 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X524 ) != 6.07/1.37 ( 6.07/1.37 X526 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X528:$i, 6.07/1.37 X530:$i, 6.07/1.37 X532:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X532 @ 6.07/1.37 X528 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~( 6.07/1.37 in @ 6.07/1.37 X532 @ 6.07/1.37 X530 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X528 ) != 6.07/1.37 ( 6.07/1.37 X530 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X534:$i]: 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X534 @ 6.07/1.37 X534 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X536:$i, 6.07/1.37 X538:$i, 6.07/1.37 X540:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X536 @ 6.07/1.37 X538 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X538 @ 6.07/1.37 X540 ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X536 @ 6.07/1.37 X540 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X542:$i, 6.07/1.37 X544:$i]: 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X544 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X542 @ 6.07/1.37 X544 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X546:$i, 6.07/1.37 X548:$i, 6.07/1.37 X550:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X546 @ 6.07/1.37 X550 ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X546 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X548 @ 6.07/1.37 X550 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X552:$i, 6.07/1.37 X554:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X552 @ 6.07/1.37 X554 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X552 @ 6.07/1.37 ( 6.07/1.37 powerset @ 6.07/1.37 X554 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X556:$i, 6.07/1.37 X558:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X556 @ 6.07/1.37 X558 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X558 @ 6.07/1.37 X556 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X556 ) = 6.07/1.37 ( 6.07/1.37 X558 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X560:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X560 @ 6.07/1.37 emptyset ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X560 ) = 6.07/1.37 ( 6.07/1.37 emptyset ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X562:$i, 6.07/1.37 X564:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X564 @ 6.07/1.37 X562 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X564 @ 6.07/1.37 ( 6.07/1.37 powerset @ 6.07/1.37 X562 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X566:$i, 6.07/1.37 X568:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X568 @ 6.07/1.37 ( 6.07/1.37 powerset @ 6.07/1.37 X566 ) ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X568 @ 6.07/1.37 X566 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X570:$i]: 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X570 @ 6.07/1.37 ( 6.07/1.37 powerset @ 6.07/1.37 X570 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X572:$i, 6.07/1.37 X574:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X572 @ 6.07/1.37 X574 ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 ( 6.07/1.37 powerset @ 6.07/1.37 X572 ) @ 6.07/1.37 ( 6.07/1.37 powerset @ 6.07/1.37 X574 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X576:$i, 6.07/1.37 X578:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 ( 6.07/1.37 dsetconstr 6.07/1.37 @ 6.07/1.37 X576 @ 6.07/1.37 ( 6.07/1.37 ^[ 6.07/1.37 V_13:$i]: 6.07/1.37 ( 6.07/1.37 X578 @ 6.07/1.37 V_13 ) ) ) @ 6.07/1.37 ( 6.07/1.37 powerset @ 6.07/1.37 X576 ) ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X580:$i, 6.07/1.37 X582:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 ( 6.07/1.37 dsetconstr 6.07/1.37 @ 6.07/1.37 X580 @ 6.07/1.37 ( 6.07/1.37 ^[ 6.07/1.37 V_14:$i]: 6.07/1.37 ( 6.07/1.37 X582 @ 6.07/1.37 V_14 ) ) ) @ 6.07/1.37 X580 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 6.07/1.37 thf(zf_stmt_14, negated_conjecture, 6.07/1.37 (~( ( ![X4:$i,X6:$i]: 6.07/1.37 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 6.07/1.37 ( ( X4 ) = ( X6 ) ) ) ) => 6.07/1.37 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 6.07/1.37 ( ( ![X12:$i,X14:$i,X16:$i]: 6.07/1.37 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 6.07/1.37 ( zip_tseitin_0 @ X16 @ X14 @ X12 ) ) ) => 6.07/1.37 ( ( ![X18:$i,X20:$i]: 6.07/1.37 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 6.07/1.37 ( ![X22:$i]: ( zip_tseitin_1 @ X22 @ X20 @ X18 ) ) ) ) => 6.07/1.37 ( ( ![X24:$i,X26:$i]: 6.07/1.37 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 6.07/1.37 ( ?[X28:$i]: ( zip_tseitin_2 @ X28 @ X26 @ X24 ) ) ) ) => 6.07/1.37 ( ( in @ emptyset @ omega ) => 6.07/1.37 ( ( ![X30:$i]: 6.07/1.37 ( ( in @ X30 @ omega ) => 6.07/1.37 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 6.07/1.37 ( ( ![X32:$i]: 6.07/1.37 ( ( ( in @ emptyset @ X32 ) & 6.07/1.37 ( ![X34:$i]: 6.07/1.37 ( ( ( in @ X34 @ omega ) & ( in @ X34 @ X32 ) ) => 6.07/1.37 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) ) => 6.07/1.37 ( ![X36:$i]: 6.07/1.37 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 6.07/1.37 ( ( ![X38:( $i > $i > $o ),X40:$i]: 6.07/1.37 ( ( ![X42:$i]: 6.07/1.37 ( ( in @ X42 @ X40 ) => 6.07/1.37 ( ?[X44:$i]: 6.07/1.37 ( ( ![X46:$i]: 6.07/1.37 ( ( X38 @ X42 @ X46 ) => 6.07/1.37 ( ( X44 ) = ( X46 ) ) ) ) & 6.07/1.37 ( X38 @ X42 @ X44 ) ) ) ) ) => 6.07/1.37 ( ?[X48:$i]: 6.07/1.37 ( ![X50:$i]: 6.07/1.37 ( ( in @ X50 @ X48 ) <=> 6.07/1.37 ( ?[X52:$i]: 6.07/1.37 ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) ) ) ) ) ) ) => 6.07/1.37 ( ( ![X54:$i]: 6.07/1.37 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 6.07/1.37 ( ?[X58:$i]: 6.07/1.37 ( ( ~( ?[X60:$i]: 6.07/1.37 ( ( in @ X60 @ X54 ) & 6.07/1.37 ( in @ X60 @ X58 ) ) ) ) & 6.07/1.37 ( in @ X58 @ X54 ) ) ) ) ) => 6.07/1.37 ( ( ![X62:$i]: 6.07/1.37 ( ?[X64:$i]: 6.07/1.37 ( ( ![X66:$i]: 6.07/1.37 ( ( ( ![X68:$i]: 6.07/1.37 ( ( in @ X68 @ X66 ) => 6.07/1.37 ( in @ X68 @ X62 ) ) ) & 6.07/1.37 ( ?[X70:$i]: ( in @ X70 @ X66 ) ) ) => 6.07/1.37 ( ?[X72:$i,X74:$i]: 6.07/1.37 ( ( ![X76:$i]: 6.07/1.37 ( ( in @ X76 @ X64 ) => 6.07/1.37 ( ( ![X78:$i]: 6.07/1.37 ( ( in @ X78 @ X76 ) => 6.07/1.37 ( in @ X78 @ X72 ) ) ) | 6.07/1.37 ( in @ X74 @ X76 ) ) ) ) & 6.07/1.37 ( ~( ?[X80:$i]: 6.07/1.37 ( ( in @ X80 @ X66 ) & 6.07/1.37 ( in @ X80 @ X72 ) ) ) ) & 6.07/1.37 ( in @ X74 @ X66 ) & 6.07/1.37 ( in @ X72 @ X64 ) ) ) ) ) & 6.07/1.37 ( ![X82:$i,X84:$i]: 6.07/1.37 ( ( ( in @ X82 @ X64 ) & ( in @ X84 @ X64 ) ) => 6.07/1.37 ( ( ![X86:$i]: 6.07/1.37 ( ( in @ X86 @ X82 ) => 6.07/1.37 ( in @ X86 @ X84 ) ) ) | 6.07/1.37 ( ![X88:$i]: 6.07/1.37 ( ( in @ X88 @ X84 ) => 6.07/1.37 ( in @ X88 @ X82 ) ) ) ) ) ) & 6.07/1.37 ( ![X90:$i,X92:$i]: 6.07/1.37 ( ( ( in @ X90 @ X62 ) & ( in @ X92 @ X62 ) ) => 6.07/1.37 ( ( ![X94:$i]: 6.07/1.37 ( ( in @ X94 @ X64 ) => 6.07/1.37 ( ( in @ X90 @ X94 ) <=> 6.07/1.37 ( in @ X92 @ X94 ) ) ) ) => 6.07/1.37 ( ( X90 ) = ( X92 ) ) ) ) ) & 6.07/1.37 ( ![X96:$i]: 6.07/1.37 ( ( in @ X96 @ X64 ) => 6.07/1.37 ( ![X98:$i]: 6.07/1.37 ( ( in @ X98 @ X96 ) => 6.07/1.37 ( in @ X98 @ X62 ) ) ) ) ) ) ) ) => 6.07/1.37 ( ( ![X100:( $i > $o )]: 6.07/1.37 ( ( ?[X102:$i]: 6.07/1.37 ( ( ![X104:$i]: 6.07/1.37 ( ( X100 @ X104 ) => 6.07/1.37 ( ( X102 ) = ( X104 ) ) ) ) & 6.07/1.37 ( X100 @ X102 ) ) ) => 6.07/1.37 ( X100 @ 6.07/1.37 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 6.07/1.37 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 6.07/1.37 ( ( in @ X110 @ X106 ) => 6.07/1.37 ( ( X108 @ X110 ) => 6.07/1.37 ( in @ 6.07/1.37 X110 @ 6.07/1.37 ( dsetconstr @ 6.07/1.37 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 6.07/1.37 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 6.07/1.37 ( ( in @ 6.07/1.37 X116 @ 6.07/1.37 ( dsetconstr @ 6.07/1.37 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 6.07/1.37 ( in @ X116 @ X112 ) ) ) => 6.07/1.37 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 6.07/1.37 ( ( in @ 6.07/1.37 X122 @ 6.07/1.37 ( dsetconstr @ 6.07/1.37 X118 @ 6.07/1.37 ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 6.07/1.37 ( X120 @ X122 ) ) ) => 6.07/1.37 ( ( ![X124:( $i > $o )]: 6.07/1.37 ( ( ?[X126:$i]: 6.07/1.37 ( ( ![X128:$i]: 6.07/1.37 ( ( X124 @ X128 ) => 6.07/1.37 ( ( X126 ) = ( X128 ) ) ) ) & 6.07/1.37 ( X124 @ X126 ) ) ) => 6.07/1.37 ( ?[X130:$i]: 6.07/1.37 ( ( ![X132:$i]: 6.07/1.37 ( ( X124 @ X132 ) => 6.07/1.37 ( ( X130 ) = ( X132 ) ) ) ) & 6.07/1.37 ( X124 @ X130 ) ) ) ) ) => 6.07/1.37 ( ( ![X134:$o,X136:$i]: 6.07/1.37 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 6.07/1.37 ( X134 ) ) ) => 6.07/1.37 ( ( ![X138:$i]: 6.07/1.37 ( ( in @ X138 @ emptyset ) => 6.07/1.37 ( ![X140:$o]: ( X140 ) ) ) ) => 6.07/1.37 ( ( ![X142:$i]: 6.07/1.37 ( ~( in @ X142 @ emptyset ) ) ) => 6.07/1.37 ( ( ![X144:$i]: 6.07/1.37 ( ~( in @ X144 @ emptyset ) ) ) => 6.07/1.37 ( ( ![X146:( $i > $o )]: 6.07/1.37 ( ( ?[X148:$i]: 6.07/1.37 ( ( ![X150:$i]: 6.07/1.37 ( ( X146 @ X150 ) => 6.07/1.37 ( ( X148 ) = 6.07/1.37 ( X150 ) ) ) ) & 6.07/1.37 ( X146 @ X148 ) ) ) => 6.07/1.37 ( ?[X152:$i]: 6.07/1.37 ( X146 @ X152 ) ) ) ) => 6.07/1.37 ( ( ![X154:$i,X156:$i]: 6.07/1.37 ( ( ![X158:$i]: 6.07/1.37 ( ( in @ X158 @ X154 ) => 6.07/1.37 ( in @ X158 @ X156 ) ) ) => 6.07/1.37 ( ( ![X160:$i]: 6.07/1.37 ( ( in @ X160 @ X156 ) => 6.07/1.37 ( in @ X160 @ X154 ) ) ) => 6.07/1.37 ( ( X154 ) = ( X156 ) ) ) ) ) => 6.07/1.37 ( ( ![X162:$i]: 6.07/1.37 ( ( ![X164:$i]: 6.07/1.37 ( ~( in @ X164 @ X162 ) ) ) => 6.07/1.37 ( ( X162 ) = 6.07/1.37 ( emptyset ) ) ) ) => 6.07/1.37 ( ( ![X166:$i]: 6.07/1.37 ( ( ![X168:$i]: 6.07/1.37 ( ~( in @ 6.07/1.37 X168 @ X166 ) ) ) => 6.07/1.37 ( ( X166 ) = 6.07/1.37 ( emptyset ) ) ) ) => 6.07/1.37 ( ( ![X170:$i, 6.07/1.37 X172:( $i > $o ), 6.07/1.37 X174:$i]: 6.07/1.37 ( ( in @ X174 @ X170 ) => 6.07/1.37 ( ( in @ 6.07/1.37 X174 @ 6.07/1.37 ( dsetconstr @ 6.07/1.37 X170 @ 6.07/1.37 ( ^[V_5:$i]: 6.07/1.37 ( X172 @ 6.07/1.37 V_5 ) ) ) ) <=> 6.07/1.37 ( X172 @ X174 ) ) ) ) => 6.07/1.37 ( ( ![X176:$i]: 6.07/1.37 ( ( ( X176 ) != 6.07/1.37 ( emptyset ) ) => 6.07/1.37 ( ?[X178:$i]: 6.07/1.37 ( in @ 6.07/1.37 X178 @ X176 ) ) ) ) => 6.07/1.37 ( ( ![X180:$i, 6.07/1.37 X182:( 6.07/1.37 $i > $o ), 6.07/1.37 X184:$i]: 6.07/1.37 ( ( in @ 6.07/1.37 X184 @ X180 ) => 6.07/1.37 ( ( X182 @ X184 ) => 6.07/1.37 ( ( dsetconstr 6.07/1.37 @ 6.07/1.37 X180 @ 6.07/1.37 ( 6.07/1.37 ^[ 6.07/1.37 V_6:$i]: 6.07/1.37 ( 6.07/1.37 X182 @ 6.07/1.37 V_6 ) ) ) != 6.07/1.37 ( emptyset ) ) ) ) ) => 6.07/1.37 ( ( ![X186:$i]: 6.07/1.37 ( ( ?[X188:$i]: 6.07/1.37 ( in @ 6.07/1.37 X188 @ 6.07/1.37 X186 ) ) => 6.07/1.37 ( ( X186 ) != 6.07/1.37 ( emptyset ) ) ) ) => 6.07/1.37 ( ( ![X190:$i, 6.07/1.37 X192:$i]: 6.07/1.37 ( in @ 6.07/1.37 X190 @ 6.07/1.37 ( setadjoin 6.07/1.37 @ 6.07/1.37 X190 @ 6.07/1.37 X192 ) ) ) => 6.07/1.37 ( ( in @ 6.07/1.37 emptyset @ 6.07/1.37 ( setadjoin 6.07/1.37 @ 6.07/1.37 emptyset @ 6.07/1.37 emptyset ) ) => 6.07/1.37 ( ( ![ 6.07/1.37 X194:$i, 6.07/1.37 X196:$i, 6.07/1.37 X198:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X198 @ 6.07/1.37 X196 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X198 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X194 @ 6.07/1.37 X196 ) ) ) ) => 6.07/1.37 ( ( 6.07/1.37 ![ 6.07/1.37 X200:$i, 6.07/1.37 X202:$i, 6.07/1.37 X204:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X204 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X200 @ 6.07/1.37 X202 ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X206:$o]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X204 ) = 6.07/1.37 ( 6.07/1.37 X200 ) ) => 6.07/1.37 ( 6.07/1.37 X206 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X204 @ 6.07/1.37 X202 ) => 6.07/1.37 ( 6.07/1.37 X206 ) ) => 6.07/1.37 ( 6.07/1.37 X206 ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X208:$i, 6.07/1.37 X210:$i, 6.07/1.37 X212:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X212 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X208 @ 6.07/1.37 X210 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X212 ) = 6.07/1.37 ( 6.07/1.37 X208 ) ) | 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X212 @ 6.07/1.37 X210 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X214:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 dsetconstr 6.07/1.37 @ 6.07/1.37 X214 @ 6.07/1.37 ( 6.07/1.37 ^[ 6.07/1.37 V_7:$i]: 6.07/1.37 ( 6.07/1.37 $true ) ) ) = 6.07/1.37 ( 6.07/1.37 X214 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X216:$i, 6.07/1.37 X218:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X220:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X220 @ 6.07/1.37 X218 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X220 @ 6.07/1.37 X216 ) ) ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X218 @ 6.07/1.37 ( 6.07/1.37 powerset 6.07/1.37 @ 6.07/1.37 X216 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X222:$i]: 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 emptyset @ 6.07/1.37 ( 6.07/1.37 powerset 6.07/1.37 @ 6.07/1.37 X222 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X224:$i]: 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 emptyset @ 6.07/1.37 ( 6.07/1.37 powerset 6.07/1.37 @ 6.07/1.37 X224 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X226:$i, 6.07/1.37 X228:$i, 6.07/1.37 X230:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X228 @ 6.07/1.37 ( 6.07/1.37 powerset 6.07/1.37 @ 6.07/1.37 X226 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X230 @ 6.07/1.37 X228 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X230 @ 6.07/1.37 X226 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X232:$i, 6.07/1.37 X234:$i, 6.07/1.37 X236:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X234 @ 6.07/1.37 X236 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X236 @ 6.07/1.37 X232 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X234 @ 6.07/1.37 ( 6.07/1.37 setunion 6.07/1.37 @ 6.07/1.37 X232 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X238:$i, 6.07/1.37 X240:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X240 @ 6.07/1.37 ( 6.07/1.37 setunion 6.07/1.37 @ 6.07/1.37 X238 ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X242:$o]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X244:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X240 @ 6.07/1.37 X244 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X244 @ 6.07/1.37 X238 ) => 6.07/1.37 ( 6.07/1.37 X242 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 X242 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X246:$i, 6.07/1.37 X248:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X248 @ 6.07/1.37 X246 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X248 @ 6.07/1.37 ( 6.07/1.37 powerset 6.07/1.37 @ 6.07/1.37 ( 6.07/1.37 setunion 6.07/1.37 @ 6.07/1.37 X246 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X250:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X252:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X254:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X250 @ 6.07/1.37 X254 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X252 ) = 6.07/1.37 ( 6.07/1.37 X254 ) ) ) ) & 6.07/1.37 ( 6.07/1.37 X250 @ 6.07/1.37 X252 ) ) ) => 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X256:$i]: 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X258:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X250 @ 6.07/1.37 X258 ) <=> 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X258 ) = 6.07/1.37 ( 6.07/1.37 X256 ) ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X260:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X260 ) != 6.07/1.37 ( 6.07/1.37 emptyset ) ) => 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X262:$i]: 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X262 @ 6.07/1.37 X260 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X264:$i, 6.07/1.37 X266:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X264 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X266 @ 6.07/1.37 emptyset ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X264 ) = 6.07/1.37 ( 6.07/1.37 X266 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X268:$i, 6.07/1.37 X270:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X268 ) != 6.07/1.37 ( 6.07/1.37 X270 ) ) => 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X270 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X268 @ 6.07/1.37 emptyset ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X272:$i, 6.07/1.37 X274:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X272 ) = 6.07/1.37 ( 6.07/1.37 X274 ) ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X272 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X274 @ 6.07/1.37 emptyset ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X276:$i, 6.07/1.37 X278:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X276 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X278 @ 6.07/1.37 emptyset ) ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X278 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X276 @ 6.07/1.37 emptyset ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X280:$i, 6.07/1.37 X282:$i, 6.07/1.37 X284:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X284 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X280 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X282 @ 6.07/1.37 emptyset ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X284 ) = 6.07/1.37 ( 6.07/1.37 X280 ) ) | 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X284 ) = 6.07/1.37 ( 6.07/1.37 X282 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X286:$i, 6.07/1.37 X288:$i]: 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X286 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X286 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X288 @ 6.07/1.37 emptyset ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X290:$i, 6.07/1.37 X292:$i]: 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X292 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X290 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X292 @ 6.07/1.37 emptyset ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X294:$i, 6.07/1.37 X296:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X298:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X296 @ 6.07/1.37 X298 ) & 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X298 @ 6.07/1.37 X294 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 dsetconstr 6.07/1.37 @ 6.07/1.37 X294 @ 6.07/1.37 ( 6.07/1.37 ^[ 6.07/1.37 V_8:$i]: 6.07/1.37 ( 6.07/1.37 X296 @ 6.07/1.37 V_8 ) ) ) != 6.07/1.37 ( 6.07/1.37 emptyset ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X300:( 6.07/1.37 $i > $o ), 6.07/1.37 X302:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X302 @ 6.07/1.37 emptyset ) => 6.07/1.37 ( 6.07/1.37 X300 @ 6.07/1.37 X302 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X304:$i, 6.07/1.37 X306:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X308:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X308 @ 6.07/1.37 X304 ) => 6.07/1.37 ( 6.07/1.37 X306 @ 6.07/1.37 X308 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X310:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 X306 @ 6.07/1.37 X310 ) ) & 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X310 @ 6.07/1.37 X304 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X312:$i, 6.07/1.37 X314:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X316:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X316 @ 6.07/1.37 X312 ) => 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 X314 @ 6.07/1.37 X316 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X318:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X314 @ 6.07/1.37 X318 ) & 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X318 @ 6.07/1.37 X312 ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X320:$i, 6.07/1.37 X322:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X324:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X322 @ 6.07/1.37 X324 ) & 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X324 @ 6.07/1.37 X320 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X326:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X326 @ 6.07/1.37 X320 ) => 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 X322 @ 6.07/1.37 X326 ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X328:$i, 6.07/1.37 X330:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X332:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 X330 @ 6.07/1.37 X332 ) ) & 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X332 @ 6.07/1.37 X328 ) ) ) => 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X334:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X334 @ 6.07/1.37 X328 ) => 6.07/1.37 ( 6.07/1.37 X330 @ 6.07/1.37 X334 ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X336:$o]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X336 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 emptyset @ 6.07/1.37 ( 6.07/1.37 prop2set 6.07/1.37 @ 6.07/1.37 X336 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X338:$o]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X338 ) => 6.07/1.37 ( 6.07/1.37 set2prop 6.07/1.37 @ 6.07/1.37 ( 6.07/1.37 prop2set 6.07/1.37 @ 6.07/1.37 X338 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X340:$i, 6.07/1.37 X342:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X344:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X342 @ 6.07/1.37 X344 ) & 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X344 @ 6.07/1.37 X340 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X346:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X346 @ 6.07/1.37 X340 ) => 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 X342 @ 6.07/1.37 X346 ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X348:$i, 6.07/1.37 X350:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X352:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X352 @ 6.07/1.37 X348 ) => 6.07/1.37 ( 6.07/1.37 X350 @ 6.07/1.37 X352 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X354:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 X350 @ 6.07/1.37 X354 ) ) & 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X354 @ 6.07/1.37 X348 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X356:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X358:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X360:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X356 @ 6.07/1.37 X360 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X358 ) = 6.07/1.37 ( 6.07/1.37 X360 ) ) ) ) & 6.07/1.37 ( 6.07/1.37 X356 @ 6.07/1.37 X358 ) ) ) => 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X362:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X364:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X356 @ 6.07/1.37 X364 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X362 ) = 6.07/1.37 ( 6.07/1.37 X364 ) ) ) ) & 6.07/1.37 ( 6.07/1.37 X356 @ 6.07/1.37 X362 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X366:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X368:$i]: 6.07/1.37 ( 6.07/1.37 X366 @ 6.07/1.37 X368 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X370:$i, 6.07/1.37 X372:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X366 @ 6.07/1.37 X370 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X366 @ 6.07/1.37 X372 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X370 ) = 6.07/1.37 ( 6.07/1.37 X372 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X374:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X376:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X366 @ 6.07/1.37 X376 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X374 ) = 6.07/1.37 ( 6.07/1.37 X376 ) ) ) ) & 6.07/1.37 ( 6.07/1.37 X366 @ 6.07/1.37 X374 ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X378:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X380:$i]: 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X382:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X378 @ 6.07/1.37 X382 ) <=> 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X382 ) = 6.07/1.37 ( 6.07/1.37 X380 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X384:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X386:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X378 @ 6.07/1.37 X386 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X384 ) = 6.07/1.37 ( 6.07/1.37 X386 ) ) ) ) & 6.07/1.37 ( 6.07/1.37 X378 @ 6.07/1.37 X384 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X388:$i, 6.07/1.37 X390:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X388 ) = 6.07/1.37 ( 6.07/1.37 X390 ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X392:$i, 6.07/1.37 X394:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X392 ) = 6.07/1.37 ( 6.07/1.37 X394 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X392 @ 6.07/1.37 X388 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X394 @ 6.07/1.37 X390 ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X396:$i, 6.07/1.37 X398:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X396 ) = 6.07/1.37 ( 6.07/1.37 X398 ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X400:$i, 6.07/1.37 X402:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X400 ) = 6.07/1.37 ( 6.07/1.37 X402 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X400 @ 6.07/1.37 X396 ) <=> 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X402 @ 6.07/1.37 X398 ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X404:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X406:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X408:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X404 @ 6.07/1.37 X408 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X406 ) = 6.07/1.37 ( 6.07/1.37 X408 ) ) ) ) & 6.07/1.37 ( 6.07/1.37 X404 @ 6.07/1.37 X406 ) ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X410:$i, 6.07/1.37 X412:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X404 @ 6.07/1.37 X410 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X404 @ 6.07/1.37 X412 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X410 ) = 6.07/1.37 ( 6.07/1.37 X412 ) ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X414:( 6.07/1.37 $i > $o ), 6.07/1.37 X416:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X418:$i, 6.07/1.37 X420:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X418 ) = 6.07/1.37 ( 6.07/1.37 X420 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X414 @ 6.07/1.37 X418 ) <=> 6.07/1.37 ( 6.07/1.37 X416 @ 6.07/1.37 X420 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X422:$i]: 6.07/1.37 ( 6.07/1.37 zip_tseitin_5 6.07/1.37 @ 6.07/1.37 X422 @ 6.07/1.37 X414 ) ) <=> 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X426:$i]: 6.07/1.37 ( 6.07/1.37 zip_tseitin_5 6.07/1.37 @ 6.07/1.37 X426 @ 6.07/1.37 X416 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 emptyset ) = 6.07/1.37 ( 6.07/1.37 emptyset ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X430:$i, 6.07/1.37 X432:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X430 ) = 6.07/1.37 ( 6.07/1.37 X432 ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X434:$i, 6.07/1.37 X436:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X434 ) = 6.07/1.37 ( 6.07/1.37 X436 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X430 @ 6.07/1.37 X434 ) = 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X432 @ 6.07/1.37 X436 ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X438:$i, 6.07/1.37 X440:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X438 ) = 6.07/1.37 ( 6.07/1.37 X440 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 powerset 6.07/1.37 @ 6.07/1.37 X438 ) = 6.07/1.37 ( 6.07/1.37 powerset 6.07/1.37 @ 6.07/1.37 X440 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X442:$i, 6.07/1.37 X444:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X442 ) = 6.07/1.37 ( 6.07/1.37 X444 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 setunion 6.07/1.37 @ 6.07/1.37 X442 ) = 6.07/1.37 ( 6.07/1.37 setunion 6.07/1.37 @ 6.07/1.37 X444 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 omega ) = 6.07/1.37 ( 6.07/1.37 omega ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X446:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X448:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X450:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X446 @ 6.07/1.37 X450 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X448 ) = 6.07/1.37 ( 6.07/1.37 X450 ) ) ) ) & 6.07/1.37 ( 6.07/1.37 X446 @ 6.07/1.37 X448 ) ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X452:$i, 6.07/1.37 X454:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X446 @ 6.07/1.37 X452 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X446 @ 6.07/1.37 X454 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X452 ) = 6.07/1.37 ( 6.07/1.37 X454 ) ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X456:( 6.07/1.37 $i > $o ), 6.07/1.37 X458:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X460:$i, 6.07/1.37 X462:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X460 ) = 6.07/1.37 ( 6.07/1.37 X462 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X456 @ 6.07/1.37 X460 ) <=> 6.07/1.37 ( 6.07/1.37 X458 @ 6.07/1.37 X462 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X464:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X466:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X456 @ 6.07/1.37 X466 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X464 ) = 6.07/1.37 ( 6.07/1.37 X466 ) ) ) ) & 6.07/1.37 ( 6.07/1.37 X456 @ 6.07/1.37 X464 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ?[ 6.07/1.37 X468:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X470:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X458 @ 6.07/1.37 X470 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X468 ) = 6.07/1.37 ( 6.07/1.37 X470 ) ) ) ) & 6.07/1.37 ( 6.07/1.37 X458 @ 6.07/1.37 X468 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 descr @ 6.07/1.37 ( 6.07/1.37 ^[ 6.07/1.37 V_9:$i]: 6.07/1.37 ( 6.07/1.37 X456 @ 6.07/1.37 V_9 ) ) ) = 6.07/1.37 ( 6.07/1.37 descr @ 6.07/1.37 ( 6.07/1.37 ^[ 6.07/1.37 V_10:$i]: 6.07/1.37 ( 6.07/1.37 X458 @ 6.07/1.37 V_10 ) ) ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X472:$i, 6.07/1.37 X474:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X472 ) = 6.07/1.37 ( 6.07/1.37 X474 ) ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X476:( 6.07/1.37 $i > $o ), 6.07/1.37 X478:( 6.07/1.37 $i > $o )]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X480:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X480 @ 6.07/1.37 X472 ) => 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X482:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X482 @ 6.07/1.37 X474 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X480 ) = 6.07/1.37 ( 6.07/1.37 X482 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X476 @ 6.07/1.37 X480 ) <=> 6.07/1.37 ( 6.07/1.37 X478 @ 6.07/1.37 X482 ) ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 dsetconstr 6.07/1.37 @ 6.07/1.37 X472 @ 6.07/1.37 ( 6.07/1.37 ^[ 6.07/1.37 V_11:$i]: 6.07/1.37 ( 6.07/1.37 X476 @ 6.07/1.37 V_11 ) ) ) = 6.07/1.37 ( 6.07/1.37 dsetconstr 6.07/1.37 @ 6.07/1.37 X474 @ 6.07/1.37 ( 6.07/1.37 ^[ 6.07/1.37 V_12:$i]: 6.07/1.37 ( 6.07/1.37 X478 @ 6.07/1.37 V_12 ) ) ) ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X484:$i, 6.07/1.37 X486:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X488:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X488 @ 6.07/1.37 X484 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X488 @ 6.07/1.37 X486 ) ) ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X484 @ 6.07/1.37 X486 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X490:$i, 6.07/1.37 X492:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X490 ) = 6.07/1.37 ( 6.07/1.37 X492 ) ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X492 @ 6.07/1.37 X490 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X494:$i, 6.07/1.37 X496:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X494 ) = 6.07/1.37 ( 6.07/1.37 X496 ) ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X494 @ 6.07/1.37 X496 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X498:$i, 6.07/1.37 X500:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X502:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X502 @ 6.07/1.37 X498 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X502 @ 6.07/1.37 X500 ) ) ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X498 @ 6.07/1.37 X500 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X504:$i]: 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 emptyset @ 6.07/1.37 X504 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X506:$i, 6.07/1.37 X508:$i, 6.07/1.37 X510:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X506 @ 6.07/1.37 X508 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X510 @ 6.07/1.37 X506 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X510 @ 6.07/1.37 X508 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X512:$i, 6.07/1.37 X514:$i, 6.07/1.37 X516:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X512 @ 6.07/1.37 X514 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X516 @ 6.07/1.37 X514 ) ) => 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X516 @ 6.07/1.37 X512 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X518:$i, 6.07/1.37 X520:$i, 6.07/1.37 X522:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X522 @ 6.07/1.37 X518 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X522 @ 6.07/1.37 X520 ) ) => 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X518 @ 6.07/1.37 X520 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X524:$i, 6.07/1.37 X526:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X524 @ 6.07/1.37 X526 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X524 ) != 6.07/1.37 ( 6.07/1.37 X526 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X528:$i, 6.07/1.37 X530:$i, 6.07/1.37 X532:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X532 @ 6.07/1.37 X528 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ~ 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X532 @ 6.07/1.37 X530 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X528 ) != 6.07/1.37 ( 6.07/1.37 X530 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X534:$i]: 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X534 @ 6.07/1.37 X534 ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X536:$i, 6.07/1.37 X538:$i, 6.07/1.37 X540:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X536 @ 6.07/1.37 X538 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X538 @ 6.07/1.37 X540 ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X536 @ 6.07/1.37 X540 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X542:$i, 6.07/1.37 X544:$i]: 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X544 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X542 @ 6.07/1.37 X544 ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X546:$i, 6.07/1.37 X548:$i, 6.07/1.37 X550:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X546 @ 6.07/1.37 X550 ) => 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X546 @ 6.07/1.37 ( 6.07/1.37 setadjoin 6.07/1.37 @ 6.07/1.37 X548 @ 6.07/1.37 X550 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X552:$i, 6.07/1.37 X554:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X552 @ 6.07/1.37 X554 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X552 @ 6.07/1.37 ( 6.07/1.37 powerset 6.07/1.37 @ 6.07/1.37 X554 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X556:$i, 6.07/1.37 X558:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X556 @ 6.07/1.37 X558 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X558 @ 6.07/1.37 X556 ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X556 ) = 6.07/1.37 ( 6.07/1.37 X558 ) ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X560:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X560 @ 6.07/1.37 emptyset ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 X560 ) = 6.07/1.37 ( 6.07/1.37 emptyset ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X562:$i, 6.07/1.37 X564:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 subset @ 6.07/1.37 X564 @ 6.07/1.37 X562 ) => 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X564 @ 6.07/1.37 ( 6.07/1.37 powerset 6.07/1.37 @ 6.07/1.37 X562 ) ) ) ) => 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 ![ 6.07/1.37 X566:$i, 6.07/1.37 X568:$i]: 6.07/1.37 ( 6.07/1.37 ( 6.07/1.37 in @ 6.07/1.37 X568 @ 6.07/1.37 ( 6.07/1.37 powerset 6.07/1.38 @ 6.07/1.38 X566 ) ) => 6.07/1.38 ( 6.07/1.38 subset @ 6.07/1.38 X568 @ 6.07/1.38 X566 ) ) ) => 6.07/1.38 ( 6.07/1.38 ( 6.07/1.38 ![ 6.07/1.38 X570:$i]: 6.07/1.38 ( 6.07/1.38 in @ 6.07/1.38 X570 @ 6.07/1.38 ( 6.07/1.38 powerset 6.07/1.38 @ 6.07/1.38 X570 ) ) ) => 6.07/1.38 ( 6.07/1.38 ( 6.07/1.38 ![ 6.07/1.38 X572:$i, 6.07/1.38 X574:$i]: 6.07/1.38 ( 6.07/1.38 ( 6.07/1.38 subset @ 6.07/1.38 X572 @ 6.07/1.38 X574 ) => 6.07/1.38 ( 6.07/1.38 subset @ 6.07/1.38 ( 6.07/1.38 powerset 6.07/1.38 @ 6.07/1.38 X572 ) @ 6.07/1.38 ( 6.07/1.38 powerset 6.07/1.38 @ 6.07/1.38 X574 ) ) ) ) => 6.07/1.38 ( 6.07/1.38 ( 6.07/1.38 ![ 6.07/1.38 X576:$i, 6.07/1.38 X578:( 6.07/1.38 $i > $o )]: 6.07/1.38 ( 6.07/1.38 in @ 6.07/1.38 ( 6.07/1.38 dsetconstr 6.07/1.38 @ 6.07/1.38 X576 @ 6.07/1.38 ( 6.07/1.38 ^[ 6.07/1.38 V_13:$i]: 6.07/1.38 ( 6.07/1.38 X578 @ 6.07/1.38 V_13 ) ) ) @ 6.07/1.38 ( 6.07/1.38 powerset 6.07/1.38 @ 6.07/1.38 X576 ) ) ) => 6.07/1.38 ( 6.07/1.38 ![ 6.07/1.38 X580:$i, 6.07/1.38 X582:( 6.07/1.38 $i > $o )]: 6.07/1.38 ( 6.07/1.38 subset @ 6.07/1.38 ( 6.07/1.38 dsetconstr 6.07/1.38 @ 6.07/1.38 X580 @ 6.07/1.38 ( 6.07/1.38 ^[ 6.07/1.38 V_14:$i]: 6.07/1.38 ( 6.07/1.38 X582 @ 6.07/1.38 V_14 ) ) ) @ 6.07/1.38 X580 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 6.07/1.38 inference('cnf.neg', [status(esa)], [zf_stmt_13])). 6.07/1.38 thf(zip_derived_cl111, plain, 6.07/1.38 (~ (subset @ (dsetconstr @ sk__291 @ (^[Y0 : $i]: (sk__292 @ Y0))) @ 6.07/1.38 sk__291)), 6.07/1.38 inference('cnf', [status(esa)], [zf_stmt_14])). 6.07/1.38 thf(zip_derived_cl207, plain, 6.07/1.38 (~ (subset @ (dsetconstr @ sk__291 @ sk__292) @ sk__291)), 6.07/1.38 inference('ho_norm', [status(thm)], [zip_derived_cl111])). 6.07/1.38 thf(zip_derived_cl113, plain, 6.07/1.38 (![X141 : $i, X142 : $i]: 6.07/1.38 ( (subset @ X141 @ X142) | ~ (in @ X141 @ (powerset @ X142)))), 6.07/1.38 inference('cnf', [status(esa)], [zf_stmt_14])). 6.07/1.38 thf(zip_derived_cl110, plain, 6.07/1.38 (![X137 : $i, X138 : $i > $o]: 6.07/1.38 (in @ (dsetconstr @ X137 @ (^[Y0 : $i]: (X138 @ Y0))) @ 6.07/1.38 (powerset @ X137))), 6.07/1.38 inference('cnf', [status(esa)], [zf_stmt_14])). 6.07/1.38 thf(zip_derived_cl226, plain, 6.07/1.38 (![X137 : $i, X138 : $i > $o]: 6.07/1.38 (in @ (dsetconstr @ X137 @ X138) @ (powerset @ X137))), 6.07/1.38 inference('ho_norm', [status(thm)], [zip_derived_cl110])). 6.07/1.38 thf(zip_derived_cl753, plain, 6.07/1.38 (![X0 : $i, X1 : $i > $o]: (subset @ (dsetconstr @ X0 @ X1) @ X0)), 6.07/1.38 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl226])). 6.07/1.38 thf(zip_derived_cl916, plain, ($false), 6.07/1.38 inference('demod', [status(thm)], [zip_derived_cl207, zip_derived_cl753])). 6.07/1.38 6.07/1.38 % SZS output end Refutation 6.07/1.38 6.07/1.38 6.07/1.38 % Terminating... 6.48/1.50 % Runner terminated. 6.48/1.51 % Zipperpin 1.5 exiting 6.48/1.51 EOF