%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU621^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ntOsJFijgz true
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:55:24 PM UTC 2025
% Result : Theorem 2.94s 1.19s
% Output : Refutation 2.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU621^1 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ntOsJFijgz true
% 0.12/0.35 % Computer : n019.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 16:04:08 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.49/0.61 % Total configuration time : 828
% 0.49/0.61 % Estimated wc time : 1656
% 0.49/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 2.94/1.19 % Solved by lams/40_c_ic.sh.
% 2.94/1.19 % done 247 iterations in 0.286s
% 2.94/1.19 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.94/1.19 % SZS output start Refutation
% 2.94/1.19 thf(setadjoinAx_type, type, setadjoinAx: $o).
% 2.94/1.19 thf(notdexE_type, type, notdexE: $o).
% 2.94/1.19 thf(setunionAx_type, type, setunionAx: $o).
% 2.94/1.19 thf(setminusELneg_type, type, setminusELneg: $o).
% 2.94/1.19 thf(powersetE_type, type, powersetE: $o).
% 2.94/1.19 thf(omegaSAx_type, type, omegaSAx: $o).
% 2.94/1.19 thf(exuI1_type, type, exuI1: $o).
% 2.94/1.19 thf(exuI2_type, type, exuI2: $o).
% 2.94/1.19 thf(notequalI2_type, type, notequalI2: $o).
% 2.94/1.19 thf(setukpairIR_type, type, setukpairIR: $o).
% 2.94/1.19 thf(sk__75_type, type, sk__75: $i > $i > $i).
% 2.94/1.19 thf(powerset__Cong_type, type, powerset__Cong: $o).
% 2.94/1.19 thf(setminusILneg_type, type, setminusILneg: $o).
% 2.94/1.19 thf(wellorderingAx_type, type, wellorderingAx: $o).
% 2.94/1.19 thf(setadjoinSub2_type, type, setadjoinSub2: $o).
% 2.94/1.19 thf(binintersectSubset5_type, type, binintersectSubset5: $o).
% 2.94/1.19 thf(setoftrueEq_type, type, setoftrueEq: $o).
% 2.94/1.19 thf(emptyset__Cong_type, type, emptyset__Cong: $o).
% 2.94/1.19 thf(sepInPowerset_type, type, sepInPowerset: $o).
% 2.94/1.19 thf(setukpairIL_type, type, setukpairIL: $o).
% 2.94/1.19 thf(kpairiskpair_type, type, kpairiskpair: $o).
% 2.94/1.19 thf(binunionE_type, type, binunionE: $o).
% 2.94/1.19 thf(setext_type, type, setext: $o).
% 2.94/1.19 thf(emptyinPowerset_type, type, emptyinPowerset: $o).
% 2.94/1.19 thf(descr__Cong_type, type, descr__Cong: $o).
% 2.94/1.19 thf(binintersectSubset1_type, type, binintersectSubset1: $o).
% 2.94/1.19 thf(in_type, type, in: $i > $i > $o).
% 2.94/1.19 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o).
% 2.94/1.19 thf(setadjoinIR_type, type, setadjoinIR: $o).
% 2.94/1.19 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o).
% 2.94/1.19 thf(symdiffI2_type, type, symdiffI2: $o).
% 2.94/1.19 thf(upairset2IR_type, type, upairset2IR: $o).
% 2.94/1.19 thf(subsetE_type, type, subsetE: $o).
% 2.94/1.19 thf(prop2set2propI_type, type, prop2set2propI: $o).
% 2.94/1.19 thf(dsetconstrEL_type, type, dsetconstrEL: $o).
% 2.94/1.19 thf(setbeta_type, type, setbeta: $o).
% 2.94/1.19 thf(eqinunit_type, type, eqinunit: $o).
% 2.94/1.19 thf(upairsetIL_type, type, upairsetIL: $o).
% 2.94/1.19 thf(powersetI1_type, type, powersetI1: $o).
% 2.94/1.19 thf(binintersectSubset3_type, type, binintersectSubset3: $o).
% 2.94/1.19 thf(setminusIRneg_type, type, setminusIRneg: $o).
% 2.94/1.19 thf(powersetAx_type, type, powersetAx: $o).
% 2.94/1.19 thf(binintersectSubset4_type, type, binintersectSubset4: $o).
% 2.94/1.19 thf(powersetI_type, type, powersetI: $o).
% 2.94/1.19 thf(upairsetIR_type, type, upairsetIR: $o).
% 2.94/1.19 thf(inCongP_type, type, inCongP: $o).
% 2.94/1.19 thf(setadjoinSub_type, type, setadjoinSub: $o).
% 2.94/1.19 thf(exuE3e_type, type, exuE3e: $o).
% 2.94/1.19 thf(emptysetE_type, type, emptysetE: $o).
% 2.94/1.19 thf(binintersectSubset2_type, type, binintersectSubset2: $o).
% 2.94/1.19 thf(setunionI_type, type, setunionI: $o).
% 2.94/1.19 thf(setunion__Cong_type, type, setunion__Cong: $o).
% 2.94/1.19 thf(prop2setI_type, type, prop2setI: $o).
% 2.94/1.19 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o).
% 2.94/1.19 thf(setminusER_type, type, setminusER: $o).
% 2.94/1.19 thf(exuE2_type, type, exuE2: $o).
% 2.94/1.19 thf(emptyset_type, type, emptyset: $i).
% 2.94/1.19 thf(powersetsubset_type, type, powersetsubset: $o).
% 2.94/1.19 thf(subPowSU_type, type, subPowSU: $o).
% 2.94/1.19 thf(notequalI1_type, type, notequalI1: $o).
% 2.94/1.19 thf(notinemptyset_type, type, notinemptyset: $o).
% 2.94/1.19 thf(nonemptyI1_type, type, nonemptyI1: $o).
% 2.94/1.19 thf(subsetTrans_type, type, subsetTrans: $o).
% 2.94/1.19 thf(sk__73_type, type, sk__73: $i).
% 2.94/1.19 thf(setminusI_type, type, setminusI: $o).
% 2.94/1.19 thf(binunionIL_type, type, binunionIL: $o).
% 2.94/1.19 thf(subsetE2_type, type, subsetE2: $o).
% 2.94/1.19 thf(singletonsswitch_type, type, singletonsswitch: $o).
% 2.94/1.19 thf(setextsub_type, type, setextsub: $o).
% 2.94/1.19 thf(binunionLsub_type, type, binunionLsub: $o).
% 2.94/1.19 thf(emptysetsubset_type, type, emptysetsubset: $o).
% 2.94/1.19 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o).
% 2.94/1.19 thf(setunionE_type, type, setunionE: $o).
% 2.94/1.19 thf(setminusSubset1_type, type, setminusSubset1: $o).
% 2.94/1.19 thf(emptyinunitempty_type, type, emptyinunitempty: $o).
% 2.94/1.19 thf(binunionIR_type, type, binunionIR: $o).
% 2.94/1.19 thf(setadjoinE_type, type, setadjoinE: $o).
% 2.94/1.19 thf(setadjoinIL_type, type, setadjoinIL: $o).
% 2.94/1.19 thf(exuE1_type, type, exuE1: $o).
% 2.94/1.19 thf(binintersectRsub_type, type, binintersectRsub: $o).
% 2.94/1.19 thf(setminusLsub_type, type, setminusLsub: $o).
% 2.94/1.19 thf(notinsingleton_type, type, notinsingleton: $o).
% 2.94/1.19 thf(eqimpsubset2_type, type, eqimpsubset2: $o).
% 2.94/1.19 thf(exuEu_type, type, exuEu: $o).
% 2.94/1.19 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o).
% 2.94/1.19 thf(upairsetE_type, type, upairsetE: $o).
% 2.94/1.19 thf(omega0Ax_type, type, omega0Ax: $o).
% 2.94/1.19 thf(notsubsetI_type, type, notsubsetI: $o).
% 2.94/1.19 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o).
% 2.94/1.19 thf(setextAx_type, type, setextAx: $o).
% 2.94/1.19 thf(powersetE1_type, type, powersetE1: $o).
% 2.94/1.19 thf(bs114d_type, type, bs114d: $o).
% 2.94/1.19 thf(noeltsimpempty_type, type, noeltsimpempty: $o).
% 2.94/1.19 thf(binintersectLsub_type, type, binintersectLsub: $o).
% 2.94/1.19 thf(subsetI1_type, type, subsetI1: $o).
% 2.94/1.19 thf(symdiffE_type, type, symdiffE: $o).
% 2.94/1.19 thf(descrp_type, type, descrp: $o).
% 2.94/1.19 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o).
% 2.94/1.19 thf(foundationAx_type, type, foundationAx: $o).
% 2.94/1.19 thf(emptysetAx_type, type, emptysetAx: $o).
% 2.94/1.19 thf(emptyI_type, type, emptyI: $o).
% 2.94/1.19 thf(setadjoinOr_type, type, setadjoinOr: $o).
% 2.94/1.19 thf(binintersectEL_type, type, binintersectEL: $o).
% 2.94/1.19 thf(emptyE1_type, type, emptyE1: $o).
% 2.94/1.19 thf(emptyInPowerset_type, type, emptyInPowerset: $o).
% 2.94/1.19 thf(vacuousDall_type, type, vacuousDall: $o).
% 2.94/1.19 thf(dsetconstrER_type, type, dsetconstrER: $o).
% 2.94/1.19 thf(binintersectI_type, type, binintersectI: $o).
% 2.94/1.19 thf(symdiffI1_type, type, symdiffI1: $o).
% 2.94/1.19 thf(subsetI2_type, type, subsetI2: $o).
% 2.94/1.19 thf(symdiffIneg1_type, type, symdiffIneg1: $o).
% 2.94/1.19 thf(setminusERneg_type, type, setminusERneg: $o).
% 2.94/1.19 thf(symdiffIneg2_type, type, symdiffIneg2: $o).
% 2.94/1.19 thf(omega__Cong_type, type, omega__Cong: $o).
% 2.94/1.19 thf(subsetRefl_type, type, subsetRefl: $o).
% 2.94/1.19 thf(uniqinunit_type, type, uniqinunit: $o).
% 2.94/1.19 thf(setminusSubset2_type, type, setminusSubset2: $o).
% 2.94/1.19 thf(prop2setE_type, type, prop2setE: $o).
% 2.94/1.19 thf(binunionEcases_type, type, binunionEcases: $o).
% 2.94/1.19 thf(nonemptyI_type, type, nonemptyI: $o).
% 2.94/1.19 thf(sk__74_type, type, sk__74: $i).
% 2.94/1.19 thf(disjointsetsI1_type, type, disjointsetsI1: $o).
% 2.94/1.19 thf(exuE3u_type, type, exuE3u: $o).
% 2.94/1.19 thf(setminusEL_type, type, setminusEL: $o).
% 2.94/1.19 thf(sepSubset_type, type, sepSubset: $o).
% 2.94/1.19 thf(eqimpsubset1_type, type, eqimpsubset1: $o).
% 2.94/1.19 thf(exuI3_type, type, exuI3: $o).
% 2.94/1.19 thf(notdallE_type, type, notdallE: $o).
% 2.94/1.19 thf(binintersectER_type, type, binintersectER: $o).
% 2.94/1.19 thf(kpairp_type, type, kpairp: $o).
% 2.94/1.19 thf(dsetconstrI_type, type, dsetconstrI: $o).
% 2.94/1.19 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 2.94/1.19 thf(setadjoin_type, type, setadjoin: $i > $i > $i).
% 2.94/1.19 thf(exu__Cong_type, type, exu__Cong: $o).
% 2.94/1.19 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o).
% 2.94/1.19 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o).
% 2.94/1.19 thf(replAx_type, type, replAx: $o).
% 2.94/1.19 thf(nonemptyE1_type, type, nonemptyE1: $o).
% 2.94/1.19 thf(omegaIndAx_type, type, omegaIndAx: $o).
% 2.94/1.19 thf(secondinupair_type, type, secondinupair: $o).
% 2.94/1.19 thf(inPowerset_type, type, inPowerset: $o).
% 2.94/1.19 thf(subset_type, type, subset: $i > $i > $o).
% 2.94/1.19 thf(in__Cong_type, type, in__Cong: $o).
% 2.94/1.19 thf(binunionRsub_type, type, binunionRsub: $o).
% 2.94/1.19 thf(subset2powerset_type, type, subset2powerset: $o).
% 2.94/1.19 thf(secondinupair, axiom, secondinupair =
% 2.94/1.19 (![Xx:$i,Xy:$i]:
% 2.94/1.19 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))).
% 2.94/1.19 thf('0', plain,
% 2.94/1.19 (( secondinupair ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]:
% 2.94/1.19 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(upairset2IR, axiom, upairset2IR =
% 2.94/1.19 (![Xx:$i,Xy:$i]:
% 2.94/1.19 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))).
% 2.94/1.19 thf('1', plain,
% 2.94/1.19 (( upairset2IR ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]:
% 2.94/1.19 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq =
% 2.94/1.19 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))).
% 2.94/1.19 thf('2', plain,
% 2.94/1.19 (( subsetemptysetimpeq ) =
% 2.94/1.19 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(setextsub, axiom, setextsub =
% 2.94/1.19 (![A:$i,B:$i]:
% 2.94/1.19 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))).
% 2.94/1.19 thf('3', plain,
% 2.94/1.19 (( setextsub ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]:
% 2.94/1.19 ( ( subset @ X4 @ X6 ) =>
% 2.94/1.19 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(setadjoinSub2, axiom, setadjoinSub2 =
% 2.94/1.19 (![A:$i,Xx:$i,B:$i]:
% 2.94/1.19 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))).
% 2.94/1.19 thf('4', plain,
% 2.94/1.19 (( setadjoinSub2 ) =
% 2.94/1.19 ( ![X4:$i,X6:$i,X8:$i]:
% 2.94/1.19 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(setadjoinSub, axiom, setadjoinSub =
% 2.94/1.19 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))).
% 2.94/1.19 thf('5', plain,
% 2.94/1.19 (( setadjoinSub ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(subsetTrans, axiom, subsetTrans =
% 2.94/1.19 (![A:$i,B:$i,C:$i]:
% 2.94/1.19 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))).
% 2.94/1.19 thf('6', plain,
% 2.94/1.19 (( subsetTrans ) =
% 2.94/1.19 ( ![X4:$i,X6:$i,X8:$i]:
% 2.94/1.19 ( ( subset @ X4 @ X6 ) =>
% 2.94/1.19 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))).
% 2.94/1.19 thf('7', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(notequalI1, axiom, notequalI1 =
% 2.94/1.19 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))).
% 2.94/1.19 thf('8', plain,
% 2.94/1.19 (( notequalI1 ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(notsubsetI, axiom, notsubsetI =
% 2.94/1.19 (![A:$i,B:$i,Xx:$i]:
% 2.94/1.19 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))).
% 2.94/1.19 thf('9', plain,
% 2.94/1.19 (( notsubsetI ) =
% 2.94/1.19 ( ![X4:$i,X6:$i,X8:$i]:
% 2.94/1.19 ( ( in @ X8 @ X4 ) =>
% 2.94/1.19 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(subsetE2, axiom, subsetE2 =
% 2.94/1.19 (![A:$i,B:$i,Xx:$i]:
% 2.94/1.19 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))).
% 2.94/1.19 thf('10', plain,
% 2.94/1.19 (( subsetE2 ) =
% 2.94/1.19 ( ![X4:$i,X6:$i,X8:$i]:
% 2.94/1.19 ( ( subset @ X4 @ X6 ) =>
% 2.94/1.19 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(subsetE, axiom, subsetE =
% 2.94/1.19 (![A:$i,B:$i,Xx:$i]:
% 2.94/1.19 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))).
% 2.94/1.19 thf('11', plain,
% 2.94/1.19 (( subsetE ) =
% 2.94/1.19 ( ![X4:$i,X6:$i,X8:$i]:
% 2.94/1.19 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(emptysetsubset, axiom, emptysetsubset =
% 2.94/1.19 (![A:$i]: ( subset @ emptyset @ A ))).
% 2.94/1.19 thf('12', plain,
% 2.94/1.19 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(subsetI2, axiom, subsetI2 =
% 2.94/1.19 (![A:$i,B:$i]:
% 2.94/1.19 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) =>
% 2.94/1.19 ( subset @ A @ B ) ))).
% 2.94/1.19 thf('13', plain,
% 2.94/1.19 (( subsetI2 ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]:
% 2.94/1.19 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) =>
% 2.94/1.19 ( subset @ X4 @ X6 ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(eqimpsubset1, axiom, eqimpsubset1 =
% 2.94/1.19 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))).
% 2.94/1.19 thf('14', plain,
% 2.94/1.19 (( eqimpsubset1 ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(eqimpsubset2, axiom, eqimpsubset2 =
% 2.94/1.19 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))).
% 2.94/1.19 thf('15', plain,
% 2.94/1.19 (( eqimpsubset2 ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(subsetI1, axiom, subsetI1 =
% 2.94/1.19 (![A:$i,B:$i]:
% 2.94/1.19 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) =>
% 2.94/1.19 ( subset @ A @ B ) ))).
% 2.94/1.19 thf('16', plain,
% 2.94/1.19 (( subsetI1 ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]:
% 2.94/1.19 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) =>
% 2.94/1.19 ( subset @ X4 @ X6 ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(setadjoin__Cong, axiom, setadjoin__Cong =
% 2.94/1.19 (![Xx:$i,Xy:$i]:
% 2.94/1.19 ( ( ( Xx ) = ( Xy ) ) =>
% 2.94/1.19 ( ![Xz:$i,Xu:$i]:
% 2.94/1.19 ( ( ( Xz ) = ( Xu ) ) =>
% 2.94/1.19 ( ( setadjoin @ Xx @ Xz ) = ( setadjoin @ Xy @ Xu ) ) ) ) ))).
% 2.94/1.19 thf('17', plain,
% 2.94/1.19 (( setadjoin__Cong ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]:
% 2.94/1.19 ( ( ( X4 ) = ( X6 ) ) =>
% 2.94/1.19 ( ![X8:$i,X10:$i]:
% 2.94/1.19 ( ( ( X8 ) = ( X10 ) ) =>
% 2.94/1.19 ( ( setadjoin @ X4 @ X8 ) = ( setadjoin @ X6 @ X10 ) ) ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(upairsetIR, axiom, upairsetIR =
% 2.94/1.19 (![Xx:$i,Xy:$i]:
% 2.94/1.19 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))).
% 2.94/1.19 thf('18', plain,
% 2.94/1.19 (( upairsetIR ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]:
% 2.94/1.19 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(upairsetIL, axiom, upairsetIL =
% 2.94/1.19 (![Xx:$i,Xy:$i]:
% 2.94/1.19 ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))).
% 2.94/1.19 thf('19', plain,
% 2.94/1.19 (( upairsetIL ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]:
% 2.94/1.19 ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(upairsetE, axiom, upairsetE =
% 2.94/1.19 (![Xx:$i,Xy:$i,Xz:$i]:
% 2.94/1.19 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) =>
% 2.94/1.19 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))).
% 2.94/1.19 thf('20', plain,
% 2.94/1.19 (( upairsetE ) =
% 2.94/1.19 ( ![X4:$i,X6:$i,X8:$i]:
% 2.94/1.19 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) =>
% 2.94/1.19 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(singletonsswitch, axiom, singletonsswitch =
% 2.94/1.19 (![Xx:$i,Xy:$i]:
% 2.94/1.19 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) =>
% 2.94/1.19 ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ))).
% 2.94/1.19 thf('21', plain,
% 2.94/1.19 (( singletonsswitch ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]:
% 2.94/1.19 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) =>
% 2.94/1.19 ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(eqinunit, axiom, eqinunit =
% 2.94/1.19 (![Xx:$i,Xy:$i]:
% 2.94/1.19 ( ( ( Xx ) = ( Xy ) ) => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))).
% 2.94/1.19 thf('22', plain,
% 2.94/1.19 (( eqinunit ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]:
% 2.94/1.19 ( ( ( X4 ) = ( X6 ) ) => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(notinsingleton, axiom, notinsingleton =
% 2.94/1.19 (![Xx:$i,Xy:$i]:
% 2.94/1.19 ( ( ( Xx ) != ( Xy ) ) => ( ~( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ))).
% 2.94/1.19 thf('23', plain,
% 2.94/1.19 (( notinsingleton ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]:
% 2.94/1.19 ( ( ( X4 ) != ( X6 ) ) =>
% 2.94/1.19 ( ~( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(uniqinunit, axiom, uniqinunit =
% 2.94/1.19 (![Xx:$i,Xy:$i]:
% 2.94/1.19 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => ( ( Xx ) = ( Xy ) ) ))).
% 2.94/1.19 thf('24', plain,
% 2.94/1.19 (( uniqinunit ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]:
% 2.94/1.19 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => ( ( X4 ) = ( X6 ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(setadjoinOr, axiom, setadjoinOr =
% 2.94/1.19 (![Xx:$i,A:$i,Xy:$i]:
% 2.94/1.19 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) =>
% 2.94/1.19 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))).
% 2.94/1.19 thf('25', plain,
% 2.94/1.19 (( setadjoinOr ) =
% 2.94/1.19 ( ![X4:$i,X6:$i,X8:$i]:
% 2.94/1.19 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) =>
% 2.94/1.19 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(setadjoinE, axiom, setadjoinE =
% 2.94/1.19 (![Xx:$i,A:$i,Xy:$i]:
% 2.94/1.19 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) =>
% 2.94/1.19 ( ![Xphi:$o]:
% 2.94/1.19 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) =>
% 2.94/1.19 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))).
% 2.94/1.19 thf('26', plain,
% 2.94/1.19 (( setadjoinE ) =
% 2.94/1.19 ( ![X4:$i,X6:$i,X8:$i]:
% 2.94/1.19 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) =>
% 2.94/1.19 ( ![X10:$o]:
% 2.94/1.19 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) =>
% 2.94/1.19 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(setadjoinIR, axiom, setadjoinIR =
% 2.94/1.19 (![Xx:$i,A:$i,Xy:$i]:
% 2.94/1.19 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))).
% 2.94/1.19 thf('27', plain,
% 2.94/1.19 (( setadjoinIR ) =
% 2.94/1.19 ( ![X4:$i,X6:$i,X8:$i]:
% 2.94/1.19 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(emptyinunitempty, axiom,(( emptyinunitempty ) =
% 2.94/1.19 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))).
% 2.94/1.19 thf('28', plain,
% 2.94/1.19 (( emptyinunitempty ) =
% 2.94/1.19 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )),
% 2.94/1.19 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])).
% 2.94/1.19 thf('29', plain,
% 2.94/1.19 (( emptyinunitempty ) =
% 2.94/1.19 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(setadjoinIL, axiom, setadjoinIL =
% 2.94/1.19 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))).
% 2.94/1.19 thf('30', plain,
% 2.94/1.19 (( setadjoinIL ) =
% 2.94/1.19 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(setadjoinAx, axiom, setadjoinAx =
% 2.94/1.19 (![Xx:$i,A:$i,Xy:$i]:
% 2.94/1.19 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=>
% 2.94/1.19 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))).
% 2.94/1.19 thf('31', plain,
% 2.94/1.19 (( setadjoinAx ) =
% 2.94/1.19 ( ![X4:$i,X6:$i,X8:$i]:
% 2.94/1.19 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=>
% 2.94/1.19 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )),
% 2.94/1.19 define([status(thm)])).
% 2.94/1.19 thf(singletonsubset, conjecture,
% 2.94/1.19 (( setextAx ) =>
% 2.94/1.19 ( ( emptysetAx ) =>
% 2.94/1.19 ( ( setadjoinAx ) =>
% 2.94/1.19 ( ( powersetAx ) =>
% 2.94/1.19 ( ( setunionAx ) =>
% 2.94/1.19 ( ( omega0Ax ) =>
% 2.94/1.19 ( ( omegaSAx ) =>
% 2.94/1.19 ( ( omegaIndAx ) =>
% 2.94/1.19 ( ( replAx ) =>
% 2.94/1.19 ( ( foundationAx ) =>
% 2.94/1.19 ( ( wellorderingAx ) =>
% 2.94/1.19 ( ( descrp ) =>
% 2.94/1.19 ( ( dsetconstrI ) =>
% 2.94/1.19 ( ( dsetconstrEL ) =>
% 2.94/1.19 ( ( dsetconstrER ) =>
% 2.94/1.19 ( ( exuE1 ) =>
% 2.94/1.19 ( ( prop2setE ) =>
% 2.94/1.19 ( ( emptysetE ) =>
% 2.94/1.19 ( ( emptysetimpfalse ) =>
% 2.94/1.19 ( ( notinemptyset ) =>
% 2.94/1.19 ( ( exuE3e ) =>
% 2.94/1.19 ( ( setext ) =>
% 2.94/1.19 ( ( emptyI ) =>
% 2.94/1.19 ( ( noeltsimpempty ) =>
% 2.94/1.19 ( ( setbeta ) =>
% 2.94/1.19 ( ( nonemptyE1 ) =>
% 2.94/1.19 ( ( nonemptyI ) =>
% 2.94/1.19 ( ( nonemptyI1 ) =>
% 2.94/1.19 ( ( setadjoinIL ) =>
% 2.94/1.19 ( ( emptyinunitempty ) =>
% 2.94/1.19 ( ( setadjoinIR ) =>
% 2.94/1.19 ( ( setadjoinE ) =>
% 2.94/1.19 ( (
% 2.94/1.19 setadjoinOr ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setoftrueEq ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powersetI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 emptyinPowerset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 emptyInPowerset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powersetE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setunionI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setunionE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subPowSU ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exuE2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 nonemptyImpWitness ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 uniqinunit ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 notinsingleton ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 eqinunit ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 singletonsswitch ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 upairsetE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 upairsetIL ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 upairsetIR ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 emptyE1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 vacuousDall ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 quantDeMorgan1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 quantDeMorgan2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 quantDeMorgan3 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 quantDeMorgan4 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 prop2setI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 prop2set2propI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 notdexE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 notdallE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exuI1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exuI3 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exuI2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 inCongP ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exuE3u ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exu__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 emptyset__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setadjoin__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powerset__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setunion__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 omega__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exuEu ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 descr__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 dsetconstr__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subsetI1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 eqimpsubset2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 eqimpsubset1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subsetI2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 emptysetsubset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subsetE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subsetE2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 notsubsetI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 notequalI1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 notequalI2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subsetRefl ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subsetTrans ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setadjoinSub ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setadjoinSub2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subset2powerset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setextsub ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subsetemptysetimpeq ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powersetI1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powersetE1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 inPowerset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powersetsubset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 sepInPowerset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 sepSubset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binunionIL ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 upairset2IR ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binunionIR ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binunionEcases ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binunionE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binunionLsub ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binunionRsub ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectSubset5 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectEL ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectLsub ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectSubset2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectSubset3 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectER ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 disjointsetsI1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectRsub ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectSubset4 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectSubset1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 bs114d ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusEL ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusER ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusSubset2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusERneg ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusELneg ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusILneg ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusIRneg ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusLsub ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusSubset1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 symdiffE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 symdiffI1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 symdiffI2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 symdiffIneg1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 symdiffIneg2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 secondinupair ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setukpairIL ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setukpairIR ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 kpairiskpair ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 kpairp ) =>
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 A:$i,Xx:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 Xx @ A ) =>
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 Xx @
% 2.94/1.19 emptyset ) @
% 2.94/1.19 A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 2.94/1.19 thf(zf_stmt_0, conjecture,
% 2.94/1.19 (( setextAx ) =>
% 2.94/1.19 ( ( emptysetAx ) =>
% 2.94/1.19 ( ( ![X4:$i,X6:$i,X8:$i]:
% 2.94/1.19 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=>
% 2.94/1.19 ( ( in @ X8 @ X6 ) | ( ( X8 ) = ( X4 ) ) ) ) ) =>
% 2.94/1.19 ( ( powersetAx ) =>
% 2.94/1.19 ( ( setunionAx ) =>
% 2.94/1.19 ( ( omega0Ax ) =>
% 2.94/1.19 ( ( omegaSAx ) =>
% 2.94/1.19 ( ( omegaIndAx ) =>
% 2.94/1.19 ( ( replAx ) =>
% 2.94/1.19 ( ( foundationAx ) =>
% 2.94/1.19 ( ( wellorderingAx ) =>
% 2.94/1.19 ( ( descrp ) =>
% 2.94/1.19 ( ( dsetconstrI ) =>
% 2.94/1.19 ( ( dsetconstrEL ) =>
% 2.94/1.19 ( ( dsetconstrER ) =>
% 2.94/1.19 ( ( exuE1 ) =>
% 2.94/1.19 ( ( prop2setE ) =>
% 2.94/1.19 ( ( emptysetE ) =>
% 2.94/1.19 ( ( emptysetimpfalse ) =>
% 2.94/1.19 ( ( notinemptyset ) =>
% 2.94/1.19 ( ( exuE3e ) =>
% 2.94/1.19 ( ( setext ) =>
% 2.94/1.19 ( ( emptyI ) =>
% 2.94/1.19 ( ( noeltsimpempty ) =>
% 2.94/1.19 ( ( setbeta ) =>
% 2.94/1.19 ( ( nonemptyE1 ) =>
% 2.94/1.19 ( ( nonemptyI ) =>
% 2.94/1.19 ( ( nonemptyI1 ) =>
% 2.94/1.19 ( ( ![X10:$i,X12:$i]:
% 2.94/1.19 ( in @
% 2.94/1.19 X10 @
% 2.94/1.19 ( setadjoin @
% 2.94/1.19 X10 @ X12 ) ) ) =>
% 2.94/1.19 ( ( in @
% 2.94/1.19 emptyset @
% 2.94/1.19 ( setadjoin @
% 2.94/1.19 emptyset @
% 2.94/1.19 emptyset ) ) =>
% 2.94/1.19 ( ( ![X14:$i,
% 2.94/1.19 X16:$i,
% 2.94/1.19 X18:$i]:
% 2.94/1.19 ( (
% 2.94/1.19 in @
% 2.94/1.19 X18 @ X16 ) =>
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X18 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X14 @ X16 ) ) ) ) =>
% 2.94/1.19 ( ( ![
% 2.94/1.19 X20:$i,
% 2.94/1.19 X22:$i,
% 2.94/1.19 X24:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X24 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X20 @ X22 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X26:$o]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X24 ) =
% 2.94/1.19 (
% 2.94/1.19 X20 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 X26 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X24 @ X22 ) =>
% 2.94/1.19 (
% 2.94/1.19 X26 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 X26 ) ) ) ) ) ) =>
% 2.94/1.19 ( (
% 2.94/1.19 ![
% 2.94/1.19 X28:$i,
% 2.94/1.19 X30:$i,
% 2.94/1.19 X32:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X32 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X28 @ X30 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X32 @ X30 ) |
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X32 ) =
% 2.94/1.19 (
% 2.94/1.19 X28 ) ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setoftrueEq ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powersetI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 emptyinPowerset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 emptyInPowerset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powersetE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setunionI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setunionE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subPowSU ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exuE2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 nonemptyImpWitness ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X34:$i,
% 2.94/1.19 X36:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X34 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X36 @
% 2.94/1.19 emptyset ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X34 ) =
% 2.94/1.19 (
% 2.94/1.19 X36 ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X38:$i,
% 2.94/1.19 X40:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X38 ) !=
% 2.94/1.19 (
% 2.94/1.19 X40 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 ~(
% 2.94/1.19 in @
% 2.94/1.19 X40 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X38 @
% 2.94/1.19 emptyset ) ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X42:$i,
% 2.94/1.19 X44:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X42 ) =
% 2.94/1.19 (
% 2.94/1.19 X44 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X42 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X44 @
% 2.94/1.19 emptyset ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X46:$i,
% 2.94/1.19 X48:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X46 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X48 @
% 2.94/1.19 emptyset ) ) =>
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X48 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X46 @
% 2.94/1.19 emptyset ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X50:$i,
% 2.94/1.19 X52:$i,
% 2.94/1.19 X54:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X54 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X50 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X52 @
% 2.94/1.19 emptyset ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X54 ) =
% 2.94/1.19 (
% 2.94/1.19 X52 ) ) |
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X54 ) =
% 2.94/1.19 (
% 2.94/1.19 X50 ) ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X56:$i,
% 2.94/1.19 X58:$i]:
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X56 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X56 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X58 @
% 2.94/1.19 emptyset ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X60:$i,
% 2.94/1.19 X62:$i]:
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X62 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X60 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X62 @
% 2.94/1.19 emptyset ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 emptyE1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 vacuousDall ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 quantDeMorgan1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 quantDeMorgan2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 quantDeMorgan3 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 quantDeMorgan4 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 prop2setI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 prop2set2propI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 notdexE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 notdallE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exuI1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exuI3 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exuI2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 inCongP ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exuE3u ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exu__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 emptyset__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X64:$i,
% 2.94/1.19 X66:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X64 ) =
% 2.94/1.19 (
% 2.94/1.19 X66 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X68:$i,
% 2.94/1.19 X70:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X68 ) =
% 2.94/1.19 (
% 2.94/1.19 X70 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X64 @ X68 ) =
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X66 @ X70 ) ) ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powerset__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setunion__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 omega__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exuEu ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 descr__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 dsetconstr__Cong ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X72:$i,
% 2.94/1.19 X74:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X76:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X76 @ X72 ) =>
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X76 @ X74 ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 X72 @ X74 ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X78:$i,
% 2.94/1.19 X80:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X78 ) =
% 2.94/1.19 (
% 2.94/1.19 X80 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 X80 @ X78 ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X82:$i,
% 2.94/1.19 X84:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X82 ) =
% 2.94/1.19 (
% 2.94/1.19 X84 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 X82 @ X84 ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X86:$i,
% 2.94/1.19 X88:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X90:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X90 @ X86 ) =>
% 2.94/1.19 (
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% 2.94/1.19 (
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% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X92:$i]:
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 emptyset @
% 2.94/1.19 X92 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X94:$i,
% 2.94/1.19 X96:$i,
% 2.94/1.19 X98:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 X94 @ X96 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X98 @ X94 ) =>
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X98 @ X96 ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X100:$i,
% 2.94/1.19 X102:$i,
% 2.94/1.19 X104:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 X100 @
% 2.94/1.19 X102 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ~(
% 2.94/1.19 in @
% 2.94/1.19 X104 @
% 2.94/1.19 X102 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 ~(
% 2.94/1.19 in @
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% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X106:$i,
% 2.94/1.19 X108:$i,
% 2.94/1.19 X110:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X110 @
% 2.94/1.19 X106 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ~(
% 2.94/1.19 in @
% 2.94/1.19 X110 @
% 2.94/1.19 X108 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 ~(
% 2.94/1.19 subset @
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% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X112:$i,
% 2.94/1.19 X114:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ~(
% 2.94/1.19 subset @
% 2.94/1.19 X112 @
% 2.94/1.19 X114 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X112 ) !=
% 2.94/1.19 (
% 2.94/1.19 X114 ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 notequalI2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X116:$i]:
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 X116 @
% 2.94/1.19 X116 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X118:$i,
% 2.94/1.19 X120:$i,
% 2.94/1.19 X122:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subset @
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% 2.94/1.19 X120 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subset @
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% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 X118 @
% 2.94/1.19 X122 ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X124:$i,
% 2.94/1.19 X126:$i]:
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 X126 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X124 @
% 2.94/1.19 X126 ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X128:$i,
% 2.94/1.19 X130:$i,
% 2.94/1.19 X132:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 X128 @
% 2.94/1.19 X132 ) =>
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 X128 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X130 @
% 2.94/1.19 X132 ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subset2powerset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X134:$i,
% 2.94/1.19 X136:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 X134 @
% 2.94/1.19 X136 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 X136 @
% 2.94/1.19 X134 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X134 ) =
% 2.94/1.19 (
% 2.94/1.19 X136 ) ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X138:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 X138 @
% 2.94/1.19 emptyset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X138 ) =
% 2.94/1.19 (
% 2.94/1.19 emptyset ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powersetI1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powersetE1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 inPowerset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powersetsubset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 sepInPowerset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 sepSubset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binunionIL ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X140:$i,
% 2.94/1.19 X142:$i]:
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X142 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X140 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X142 @
% 2.94/1.19 emptyset ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binunionIR ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binunionEcases ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binunionE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binunionLsub ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binunionRsub ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectSubset5 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectEL ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectLsub ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectSubset2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectSubset3 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectER ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 disjointsetsI1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectRsub ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectSubset4 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 binintersectSubset1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 bs114d ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusEL ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusER ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusSubset2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusERneg ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusELneg ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusILneg ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusIRneg ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusLsub ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setminusSubset1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 symdiffE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 symdiffI1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 symdiffI2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 symdiffIneg1 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 symdiffIneg2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X144:$i,
% 2.94/1.19 X146:$i]:
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X146 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X144 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X146 @
% 2.94/1.19 emptyset ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setukpairIL ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setukpairIR ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 kpairiskpair ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 kpairp ) =>
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X148:$i,
% 2.94/1.19 X150:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X150 @
% 2.94/1.19 X148 ) =>
% 2.94/1.19 (
% 2.94/1.19 subset @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X150 @
% 2.94/1.19 emptyset ) @
% 2.94/1.19 X148 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 2.94/1.19 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o).
% 2.94/1.19 thf(zf_stmt_2, axiom,
% 2.94/1.19 (![X8:$i,X6:$i,X4:$i]:
% 2.94/1.19 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=>
% 2.94/1.19 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ))).
% 2.94/1.19 thf(zf_stmt_3, conjecture,
% 2.94/1.19 (( setextAx ) =>
% 2.94/1.19 ( ( emptysetAx ) =>
% 2.94/1.19 ( ( ![X4:$i,X6:$i,X8:$i]:
% 2.94/1.19 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=>
% 2.94/1.19 ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) =>
% 2.94/1.19 ( ( powersetAx ) =>
% 2.94/1.19 ( ( setunionAx ) =>
% 2.94/1.19 ( ( omega0Ax ) =>
% 2.94/1.19 ( ( omegaSAx ) =>
% 2.94/1.19 ( ( omegaIndAx ) =>
% 2.94/1.19 ( ( replAx ) =>
% 2.94/1.19 ( ( foundationAx ) =>
% 2.94/1.19 ( ( wellorderingAx ) =>
% 2.94/1.19 ( ( descrp ) =>
% 2.94/1.19 ( ( dsetconstrI ) =>
% 2.94/1.19 ( ( dsetconstrEL ) =>
% 2.94/1.19 ( ( dsetconstrER ) =>
% 2.94/1.19 ( ( exuE1 ) =>
% 2.94/1.19 ( ( prop2setE ) =>
% 2.94/1.19 ( ( emptysetE ) =>
% 2.94/1.19 ( ( emptysetimpfalse ) =>
% 2.94/1.19 ( ( notinemptyset ) =>
% 2.94/1.19 ( ( exuE3e ) =>
% 2.94/1.19 ( ( setext ) =>
% 2.94/1.19 ( ( emptyI ) =>
% 2.94/1.19 ( ( noeltsimpempty ) =>
% 2.94/1.19 ( ( setbeta ) =>
% 2.94/1.19 ( ( nonemptyE1 ) =>
% 2.94/1.19 ( ( nonemptyI ) =>
% 2.94/1.19 ( ( nonemptyI1 ) =>
% 2.94/1.19 ( ( ![X10:$i,X12:$i]:
% 2.94/1.19 ( in @
% 2.94/1.19 X10 @
% 2.94/1.19 ( setadjoin @
% 2.94/1.19 X10 @ X12 ) ) ) =>
% 2.94/1.19 ( ( in @
% 2.94/1.19 emptyset @
% 2.94/1.19 ( setadjoin @
% 2.94/1.19 emptyset @
% 2.94/1.19 emptyset ) ) =>
% 2.94/1.19 ( ( ![X14:$i,
% 2.94/1.19 X16:$i,
% 2.94/1.19 X18:$i]:
% 2.94/1.19 ( (
% 2.94/1.19 in @
% 2.94/1.19 X18 @ X16 ) =>
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X18 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X14 @ X16 ) ) ) ) =>
% 2.94/1.19 ( ( ![
% 2.94/1.19 X20:$i,
% 2.94/1.19 X22:$i,
% 2.94/1.19 X24:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X24 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X20 @ X22 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X26:$o]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X24 ) =
% 2.94/1.19 (
% 2.94/1.19 X20 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 X26 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X24 @ X22 ) =>
% 2.94/1.19 (
% 2.94/1.19 X26 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 X26 ) ) ) ) ) ) =>
% 2.94/1.19 ( (
% 2.94/1.19 ![
% 2.94/1.19 X28:$i,
% 2.94/1.19 X30:$i,
% 2.94/1.19 X32:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X32 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X28 @ X30 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X32 ) =
% 2.94/1.19 (
% 2.94/1.19 X28 ) ) |
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X32 @ X30 ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setoftrueEq ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powersetI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 emptyinPowerset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 emptyInPowerset ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 powersetE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setunionI ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 setunionE ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 subPowSU ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 exuE2 ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 nonemptyImpWitness ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X34:$i,
% 2.94/1.19 X36:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X34 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X36 @
% 2.94/1.19 emptyset ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X34 ) =
% 2.94/1.19 (
% 2.94/1.19 X36 ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X38:$i,
% 2.94/1.19 X40:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X38 ) !=
% 2.94/1.19 (
% 2.94/1.19 X40 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 ~(
% 2.94/1.19 in @
% 2.94/1.19 X40 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X38 @
% 2.94/1.19 emptyset ) ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X42:$i,
% 2.94/1.19 X44:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X42 ) =
% 2.94/1.19 (
% 2.94/1.19 X44 ) ) =>
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X42 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X44 @
% 2.94/1.19 emptyset ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X46:$i,
% 2.94/1.19 X48:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X46 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X48 @
% 2.94/1.19 emptyset ) ) =>
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X48 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X46 @
% 2.94/1.19 emptyset ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 ![
% 2.94/1.19 X50:$i,
% 2.94/1.19 X52:$i,
% 2.94/1.19 X54:$i]:
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 in @
% 2.94/1.19 X54 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X50 @
% 2.94/1.19 (
% 2.94/1.19 setadjoin
% 2.94/1.19 @
% 2.94/1.19 X52 @
% 2.94/1.19 emptyset ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X54 ) =
% 2.94/1.19 (
% 2.94/1.19 X50 ) ) |
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.19 X54 ) =
% 2.94/1.19 (
% 2.94/1.19 X52 ) ) ) ) ) =>
% 2.94/1.19 (
% 2.94/1.19 (
% 2.94/1.20 ![
% 2.94/1.20 X56:$i,
% 2.94/1.20 X58:$i]:
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X56 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X56 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X58 @
% 2.94/1.20 emptyset ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X60:$i,
% 2.94/1.20 X62:$i]:
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X62 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X60 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X62 @
% 2.94/1.20 emptyset ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 emptyE1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 vacuousDall ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 quantDeMorgan1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 quantDeMorgan2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 quantDeMorgan3 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 quantDeMorgan4 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 prop2setI ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 prop2set2propI ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 notdexE ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 notdallE ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 exuI1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 exuI3 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 exuI2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 inCongP ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 exuE3u ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 exu__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 emptyset__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X64:$i,
% 2.94/1.20 X66:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X64 ) =
% 2.94/1.20 (
% 2.94/1.20 X66 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X68:$i,
% 2.94/1.20 X70:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X68 ) =
% 2.94/1.20 (
% 2.94/1.20 X70 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X64 @ X68 ) =
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X66 @ X70 ) ) ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 powerset__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setunion__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 omega__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 exuEu ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 descr__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 dsetconstr__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X72:$i,
% 2.94/1.20 X74:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X76:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X76 @ X72 ) =>
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X76 @ X74 ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X72 @ X74 ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X78:$i,
% 2.94/1.20 X80:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X78 ) =
% 2.94/1.20 (
% 2.94/1.20 X80 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X80 @ X78 ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X82:$i,
% 2.94/1.20 X84:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X82 ) =
% 2.94/1.20 (
% 2.94/1.20 X84 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X82 @ X84 ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X86:$i,
% 2.94/1.20 X88:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X90:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X90 @ X86 ) =>
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X90 @ X88 ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X86 @ X88 ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X92:$i]:
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 emptyset @
% 2.94/1.20 X92 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X94:$i,
% 2.94/1.20 X96:$i,
% 2.94/1.20 X98:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X94 @ X96 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X98 @ X94 ) =>
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X98 @ X96 ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X100:$i,
% 2.94/1.20 X102:$i,
% 2.94/1.20 X104:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X100 @
% 2.94/1.20 X102 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ~(
% 2.94/1.20 in @
% 2.94/1.20 X104 @
% 2.94/1.20 X102 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 ~(
% 2.94/1.20 in @
% 2.94/1.20 X104 @
% 2.94/1.20 X100 ) ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X106:$i,
% 2.94/1.20 X108:$i,
% 2.94/1.20 X110:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X110 @
% 2.94/1.20 X106 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ~(
% 2.94/1.20 in @
% 2.94/1.20 X110 @
% 2.94/1.20 X108 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 ~(
% 2.94/1.20 subset @
% 2.94/1.20 X106 @
% 2.94/1.20 X108 ) ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X112:$i,
% 2.94/1.20 X114:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ~(
% 2.94/1.20 subset @
% 2.94/1.20 X112 @
% 2.94/1.20 X114 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X112 ) !=
% 2.94/1.20 (
% 2.94/1.20 X114 ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 notequalI2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X116:$i]:
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X116 @
% 2.94/1.20 X116 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X118:$i,
% 2.94/1.20 X120:$i,
% 2.94/1.20 X122:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X118 @
% 2.94/1.20 X120 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X120 @
% 2.94/1.20 X122 ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X118 @
% 2.94/1.20 X122 ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X124:$i,
% 2.94/1.20 X126:$i]:
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X126 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X124 @
% 2.94/1.20 X126 ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X128:$i,
% 2.94/1.20 X130:$i,
% 2.94/1.20 X132:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X128 @
% 2.94/1.20 X132 ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X128 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X130 @
% 2.94/1.20 X132 ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset2powerset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X134:$i,
% 2.94/1.20 X136:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X134 @
% 2.94/1.20 X136 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X136 @
% 2.94/1.20 X134 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X134 ) =
% 2.94/1.20 (
% 2.94/1.20 X136 ) ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X138:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X138 @
% 2.94/1.20 emptyset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X138 ) =
% 2.94/1.20 (
% 2.94/1.20 emptyset ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 powersetI1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 powersetE1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 inPowerset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 powersetsubset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 sepInPowerset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 sepSubset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binunionIL ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X140:$i,
% 2.94/1.20 X142:$i]:
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X142 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X140 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X142 @
% 2.94/1.20 emptyset ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binunionIR ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binunionEcases ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binunionE ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binunionLsub ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binunionRsub ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectI ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectSubset5 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectEL ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectLsub ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectSubset2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectSubset3 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectER ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 disjointsetsI1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectRsub ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectSubset4 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectSubset1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 bs114d ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusI ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusEL ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusER ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusSubset2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusERneg ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusELneg ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusILneg ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusIRneg ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusLsub ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusSubset1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 symdiffE ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 symdiffI1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 symdiffI2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 symdiffIneg1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 symdiffIneg2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X144:$i,
% 2.94/1.20 X146:$i]:
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X146 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X144 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X146 @
% 2.94/1.20 emptyset ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setukpairIL ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setukpairIR ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 kpairiskpair ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 kpairp ) =>
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X148:$i,
% 2.94/1.20 X150:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X150 @
% 2.94/1.20 X148 ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X150 @
% 2.94/1.20 emptyset ) @
% 2.94/1.20 X148 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 2.94/1.20 thf(zf_stmt_4, negated_conjecture,
% 2.94/1.20 (~( ( setextAx ) =>
% 2.94/1.20 ( ( emptysetAx ) =>
% 2.94/1.20 ( ( ![X4:$i,X6:$i,X8:$i]:
% 2.94/1.20 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=>
% 2.94/1.20 ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) =>
% 2.94/1.20 ( ( powersetAx ) =>
% 2.94/1.20 ( ( setunionAx ) =>
% 2.94/1.20 ( ( omega0Ax ) =>
% 2.94/1.20 ( ( omegaSAx ) =>
% 2.94/1.20 ( ( omegaIndAx ) =>
% 2.94/1.20 ( ( replAx ) =>
% 2.94/1.20 ( ( foundationAx ) =>
% 2.94/1.20 ( ( wellorderingAx ) =>
% 2.94/1.20 ( ( descrp ) =>
% 2.94/1.20 ( ( dsetconstrI ) =>
% 2.94/1.20 ( ( dsetconstrEL ) =>
% 2.94/1.20 ( ( dsetconstrER ) =>
% 2.94/1.20 ( ( exuE1 ) =>
% 2.94/1.20 ( ( prop2setE ) =>
% 2.94/1.20 ( ( emptysetE ) =>
% 2.94/1.20 ( ( emptysetimpfalse ) =>
% 2.94/1.20 ( ( notinemptyset ) =>
% 2.94/1.20 ( ( exuE3e ) =>
% 2.94/1.20 ( ( setext ) =>
% 2.94/1.20 ( ( emptyI ) =>
% 2.94/1.20 ( ( noeltsimpempty ) =>
% 2.94/1.20 ( ( setbeta ) =>
% 2.94/1.20 ( ( nonemptyE1 ) =>
% 2.94/1.20 ( ( nonemptyI ) =>
% 2.94/1.20 ( ( nonemptyI1 ) =>
% 2.94/1.20 ( ( ![X10:$i,
% 2.94/1.20 X12:$i]:
% 2.94/1.20 ( in @
% 2.94/1.20 X10 @
% 2.94/1.20 ( setadjoin
% 2.94/1.20 @
% 2.94/1.20 X10 @ X12 ) ) ) =>
% 2.94/1.20 ( ( in @
% 2.94/1.20 emptyset @
% 2.94/1.20 ( setadjoin
% 2.94/1.20 @
% 2.94/1.20 emptyset @
% 2.94/1.20 emptyset ) ) =>
% 2.94/1.20 ( ( ![
% 2.94/1.20 X14:$i,
% 2.94/1.20 X16:$i,
% 2.94/1.20 X18:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X18 @ X16 ) =>
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X18 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X14 @ X16 ) ) ) ) =>
% 2.94/1.20 ( (
% 2.94/1.20 ![
% 2.94/1.20 X20:$i,
% 2.94/1.20 X22:$i,
% 2.94/1.20 X24:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X24 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X20 @ X22 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X26:$o]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X24 ) =
% 2.94/1.20 (
% 2.94/1.20 X20 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 X26 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X24 @ X22 ) =>
% 2.94/1.20 (
% 2.94/1.20 X26 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 X26 ) ) ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X28:$i,
% 2.94/1.20 X30:$i,
% 2.94/1.20 X32:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X32 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X28 @ X30 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X32 ) =
% 2.94/1.20 (
% 2.94/1.20 X28 ) ) |
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X32 @ X30 ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setoftrueEq ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 powersetI ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 emptyinPowerset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 emptyInPowerset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 powersetE ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setunionI ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setunionE ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subPowSU ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 exuE2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 nonemptyImpWitness ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X34:$i,
% 2.94/1.20 X36:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X34 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X36 @
% 2.94/1.20 emptyset ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X34 ) =
% 2.94/1.20 (
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% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X38:$i,
% 2.94/1.20 X40:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X38 ) !=
% 2.94/1.20 (
% 2.94/1.20 X40 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 ~
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X40 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X38 @
% 2.94/1.20 emptyset ) ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X42:$i,
% 2.94/1.20 X44:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X42 ) =
% 2.94/1.20 (
% 2.94/1.20 X44 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X42 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X44 @
% 2.94/1.20 emptyset ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X46:$i,
% 2.94/1.20 X48:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X46 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X48 @
% 2.94/1.20 emptyset ) ) =>
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X48 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X46 @
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% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X50:$i,
% 2.94/1.20 X52:$i,
% 2.94/1.20 X54:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X54 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X50 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X52 @
% 2.94/1.20 emptyset ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X54 ) =
% 2.94/1.20 (
% 2.94/1.20 X50 ) ) |
% 2.94/1.20 (
% 2.94/1.20 (
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% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X56:$i,
% 2.94/1.20 X58:$i]:
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X56 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X56 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X58 @
% 2.94/1.20 emptyset ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X60:$i,
% 2.94/1.20 X62:$i]:
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X62 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X60 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X62 @
% 2.94/1.20 emptyset ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 emptyE1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 vacuousDall ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 quantDeMorgan1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 quantDeMorgan2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 quantDeMorgan3 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 quantDeMorgan4 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 prop2setI ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 prop2set2propI ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 notdexE ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 notdallE ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 exuI1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 exuI3 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 exuI2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 inCongP ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 exuE3u ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 exu__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 emptyset__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X64:$i,
% 2.94/1.20 X66:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X64 ) =
% 2.94/1.20 (
% 2.94/1.20 X66 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X68:$i,
% 2.94/1.20 X70:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X68 ) =
% 2.94/1.20 (
% 2.94/1.20 X70 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X64 @ X68 ) =
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X66 @ X70 ) ) ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 powerset__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setunion__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 omega__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 exuEu ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 descr__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 dsetconstr__Cong ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X72:$i,
% 2.94/1.20 X74:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X76:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X76 @ X72 ) =>
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X76 @ X74 ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
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% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X78:$i,
% 2.94/1.20 X80:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X78 ) =
% 2.94/1.20 (
% 2.94/1.20 X80 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
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% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X82:$i,
% 2.94/1.20 X84:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X82 ) =
% 2.94/1.20 (
% 2.94/1.20 X84 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
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% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X86:$i,
% 2.94/1.20 X88:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X90:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X90 @ X86 ) =>
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X90 @ X88 ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
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% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X92:$i]:
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 emptyset @
% 2.94/1.20 X92 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X94:$i,
% 2.94/1.20 X96:$i,
% 2.94/1.20 X98:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X94 @ X96 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X98 @ X94 ) =>
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X98 @ X96 ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X100:$i,
% 2.94/1.20 X102:$i,
% 2.94/1.20 X104:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X100 @
% 2.94/1.20 X102 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ~
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X104 @
% 2.94/1.20 X102 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 ~
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X104 @
% 2.94/1.20 X100 ) ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X106:$i,
% 2.94/1.20 X108:$i,
% 2.94/1.20 X110:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X110 @
% 2.94/1.20 X106 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ~
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X110 @
% 2.94/1.20 X108 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 ~
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X106 @
% 2.94/1.20 X108 ) ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X112:$i,
% 2.94/1.20 X114:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ~
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X112 @
% 2.94/1.20 X114 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X112 ) !=
% 2.94/1.20 (
% 2.94/1.20 X114 ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 notequalI2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X116:$i]:
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X116 @
% 2.94/1.20 X116 ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X118:$i,
% 2.94/1.20 X120:$i,
% 2.94/1.20 X122:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X118 @
% 2.94/1.20 X120 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X120 @
% 2.94/1.20 X122 ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X118 @
% 2.94/1.20 X122 ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X124:$i,
% 2.94/1.20 X126:$i]:
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X126 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X124 @
% 2.94/1.20 X126 ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X128:$i,
% 2.94/1.20 X130:$i,
% 2.94/1.20 X132:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X128 @
% 2.94/1.20 X132 ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X128 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X130 @
% 2.94/1.20 X132 ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset2powerset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X134:$i,
% 2.94/1.20 X136:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X134 @
% 2.94/1.20 X136 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X136 @
% 2.94/1.20 X134 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X134 ) =
% 2.94/1.20 (
% 2.94/1.20 X136 ) ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X138:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 X138 @
% 2.94/1.20 emptyset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 X138 ) =
% 2.94/1.20 (
% 2.94/1.20 emptyset ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 powersetI1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 powersetE1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 inPowerset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 powersetsubset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 sepInPowerset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 sepSubset ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binunionIL ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X140:$i,
% 2.94/1.20 X142:$i]:
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X142 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X140 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X142 @
% 2.94/1.20 emptyset ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binunionIR ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binunionEcases ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binunionE ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binunionLsub ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binunionRsub ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectI ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectSubset5 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectEL ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectLsub ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectSubset2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectSubset3 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectER ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 disjointsetsI1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectRsub ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectSubset4 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 binintersectSubset1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 bs114d ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusI ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusEL ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusER ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusSubset2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusERneg ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusELneg ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusILneg ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusIRneg ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusLsub ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setminusSubset1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 symdiffE ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 symdiffI1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 symdiffI2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 symdiffIneg1 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 symdiffIneg2 ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X144:$i,
% 2.94/1.20 X146:$i]:
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X146 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X144 @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X146 @
% 2.94/1.20 emptyset ) ) ) ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setukpairIL ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 setukpairIR ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 kpairiskpair ) =>
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 kpairp ) =>
% 2.94/1.20 (
% 2.94/1.20 ![
% 2.94/1.20 X148:$i,
% 2.94/1.20 X150:$i]:
% 2.94/1.20 (
% 2.94/1.20 (
% 2.94/1.20 in @
% 2.94/1.20 X150 @
% 2.94/1.20 X148 ) =>
% 2.94/1.20 (
% 2.94/1.20 subset @
% 2.94/1.20 (
% 2.94/1.20 setadjoin
% 2.94/1.20 @
% 2.94/1.20 X150 @
% 2.94/1.20 emptyset ) @
% 2.94/1.20 X148 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 2.94/1.20 inference('cnf.neg', [status(esa)], [zf_stmt_3])).
% 2.94/1.20 thf(zip_derived_cl44, plain,
% 2.94/1.20 (![X24 : $i, X25 : $i]:
% 2.94/1.20 ( (subset @ X24 @ X25) | (in @ (sk__75 @ X25 @ X24) @ X24))),
% 2.94/1.20 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.94/1.20 thf(zip_derived_cl26, plain,
% 2.94/1.20 (![X12 : $i, X13 : $i]:
% 2.94/1.20 (~ (in @ X12 @ (setadjoin @ X13 @ emptyset)) | ((X13) = (X12)))),
% 2.94/1.20 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.94/1.20 thf(zip_derived_cl210, plain,
% 2.94/1.20 (![X0 : $i, X1 : $i]:
% 2.94/1.20 ( (subset @ (setadjoin @ X0 @ emptyset) @ X1)
% 2.94/1.20 | ((X0) = (sk__75 @ X1 @ (setadjoin @ X0 @ emptyset))))),
% 2.94/1.20 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl26])).
% 2.94/1.20 thf(zip_derived_cl43, plain,
% 2.94/1.20 (![X24 : $i, X25 : $i]:
% 2.94/1.20 ( (subset @ X24 @ X25) | ~ (in @ (sk__75 @ X25 @ X24) @ X25))),
% 2.94/1.20 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.94/1.20 thf(zip_derived_cl425, plain,
% 2.94/1.20 (![X0 : $i, X1 : $i]:
% 2.94/1.20 (~ (in @ X0 @ X1)
% 2.94/1.20 | (subset @ (setadjoin @ X0 @ emptyset) @ X1)
% 2.94/1.20 | (subset @ (setadjoin @ X0 @ emptyset) @ X1))),
% 2.94/1.20 inference('sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl43])).
% 2.94/1.20 thf(zip_derived_cl444, plain,
% 2.94/1.20 (![X0 : $i, X1 : $i]:
% 2.94/1.20 ( (subset @ (setadjoin @ X0 @ emptyset) @ X1) | ~ (in @ X0 @ X1))),
% 2.94/1.20 inference('simplify', [status(thm)], [zip_derived_cl425])).
% 2.94/1.20 thf(zip_derived_cl74, plain,
% 2.94/1.20 (~ (subset @ (setadjoin @ sk__74 @ emptyset) @ sk__73)),
% 2.94/1.20 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.94/1.20 thf(zip_derived_cl608, plain, (~ (in @ sk__74 @ sk__73)),
% 2.94/1.20 inference('sup-', [status(thm)], [zip_derived_cl444, zip_derived_cl74])).
% 2.94/1.20 thf(zip_derived_cl75, plain, ( (in @ sk__74 @ sk__73)),
% 2.94/1.20 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.94/1.20 thf(zip_derived_cl629, plain, ($false),
% 2.94/1.20 inference('demod', [status(thm)], [zip_derived_cl608, zip_derived_cl75])).
% 2.94/1.20
% 2.94/1.20 % SZS output end Refutation
% 2.94/1.20
% 2.94/1.20
% 2.94/1.20 % Terminating...
% 3.13/1.35 % Runner terminated.
% 3.13/1.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------