%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU633^1 : 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.2zKmAr2TLI true
% Computer : n018.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 04:55:28 PM UTC 2025
% Result : Theorem 0.60s 0.95s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SEU633^1 : TPTP v9.2.0. Released v3.7.0.
% 0.10/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2zKmAr2TLI true
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:08:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.58/0.66 % Total configuration time : 828
% 0.58/0.66 % Estimated wc time : 1656
% 0.58/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.95 % Solved by lams/40_c_ic.sh.
% 0.60/0.95 % done 168 iterations in 0.110s
% 0.60/0.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.95 % SZS output start Refutation
% 0.60/0.95 thf(setadjoinAx_type, type, setadjoinAx: $o).
% 0.60/0.95 thf(notdexE_type, type, notdexE: $o).
% 0.60/0.95 thf(setunionAx_type, type, setunionAx: $o).
% 0.60/0.95 thf(setminusELneg_type, type, setminusELneg: $o).
% 0.60/0.95 thf(powersetE_type, type, powersetE: $o).
% 0.60/0.95 thf(omegaSAx_type, type, omegaSAx: $o).
% 0.60/0.95 thf(exuI1_type, type, exuI1: $o).
% 0.60/0.95 thf(exuI2_type, type, exuI2: $o).
% 0.60/0.95 thf(notequalI2_type, type, notequalI2: $o).
% 0.60/0.95 thf(setukpairIR_type, type, setukpairIR: $o).
% 0.60/0.95 thf(powerset__Cong_type, type, powerset__Cong: $o).
% 0.60/0.95 thf(setminusILneg_type, type, setminusILneg: $o).
% 0.60/0.95 thf(wellorderingAx_type, type, wellorderingAx: $o).
% 0.60/0.95 thf(setadjoinSub2_type, type, setadjoinSub2: $o).
% 0.60/0.95 thf(binintersectSubset5_type, type, binintersectSubset5: $o).
% 0.60/0.95 thf(upairsubunion_type, type, upairsubunion: $o).
% 0.60/0.95 thf(setoftrueEq_type, type, setoftrueEq: $o).
% 0.60/0.95 thf(emptyset__Cong_type, type, emptyset__Cong: $o).
% 0.60/0.95 thf(sepInPowerset_type, type, sepInPowerset: $o).
% 0.60/0.95 thf(setukpairIL_type, type, setukpairIL: $o).
% 0.60/0.95 thf(sk__21_type, type, sk__21: $i).
% 0.60/0.95 thf(kpairiskpair_type, type, kpairiskpair: $o).
% 0.60/0.95 thf(binunionE_type, type, binunionE: $o).
% 0.60/0.95 thf(setext_type, type, setext: $o).
% 0.60/0.95 thf(emptyinPowerset_type, type, emptyinPowerset: $o).
% 0.60/0.95 thf(upairinpowunion_type, type, upairinpowunion: $o).
% 0.60/0.95 thf(sk__20_type, type, sk__20: $i).
% 0.60/0.95 thf(descr__Cong_type, type, descr__Cong: $o).
% 0.60/0.95 thf(binintersectSubset1_type, type, binintersectSubset1: $o).
% 0.60/0.95 thf(in_type, type, in: $i > $i > $o).
% 0.60/0.95 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o).
% 0.60/0.95 thf(upairset2E_type, type, upairset2E: $o).
% 0.60/0.95 thf(setadjoinIR_type, type, setadjoinIR: $o).
% 0.60/0.95 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o).
% 0.60/0.95 thf(symdiffI2_type, type, symdiffI2: $o).
% 0.60/0.95 thf(upairset2IR_type, type, upairset2IR: $o).
% 0.60/0.95 thf(subsetE_type, type, subsetE: $o).
% 0.60/0.95 thf(prop2set2propI_type, type, prop2set2propI: $o).
% 0.60/0.95 thf(dsetconstrEL_type, type, dsetconstrEL: $o).
% 0.60/0.95 thf(setbeta_type, type, setbeta: $o).
% 0.60/0.95 thf(eqinunit_type, type, eqinunit: $o).
% 0.60/0.95 thf(upairsetIL_type, type, upairsetIL: $o).
% 0.60/0.95 thf(powersetI1_type, type, powersetI1: $o).
% 0.60/0.95 thf(binintersectSubset3_type, type, binintersectSubset3: $o).
% 0.60/0.95 thf(singletoninpowerset_type, type, singletoninpowerset: $o).
% 0.60/0.95 thf(setminusIRneg_type, type, setminusIRneg: $o).
% 0.60/0.95 thf(powersetAx_type, type, powersetAx: $o).
% 0.60/0.95 thf(binintersectSubset4_type, type, binintersectSubset4: $o).
% 0.60/0.95 thf(powersetI_type, type, powersetI: $o).
% 0.60/0.95 thf(upairsetIR_type, type, upairsetIR: $o).
% 0.60/0.95 thf(inCongP_type, type, inCongP: $o).
% 0.60/0.95 thf(setadjoinSub_type, type, setadjoinSub: $o).
% 0.60/0.95 thf(exuE3e_type, type, exuE3e: $o).
% 0.60/0.95 thf(emptysetE_type, type, emptysetE: $o).
% 0.60/0.95 thf(binintersectSubset2_type, type, binintersectSubset2: $o).
% 0.60/0.95 thf(setunionI_type, type, setunionI: $o).
% 0.60/0.95 thf(setunion__Cong_type, type, setunion__Cong: $o).
% 0.60/0.95 thf(prop2setI_type, type, prop2setI: $o).
% 0.60/0.95 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o).
% 0.60/0.95 thf(setminusER_type, type, setminusER: $o).
% 0.60/0.95 thf(exuE2_type, type, exuE2: $o).
% 0.60/0.95 thf(emptyset_type, type, emptyset: $i).
% 0.60/0.95 thf(powersetsubset_type, type, powersetsubset: $o).
% 0.60/0.95 thf(subPowSU_type, type, subPowSU: $o).
% 0.60/0.95 thf(notequalI1_type, type, notequalI1: $o).
% 0.60/0.95 thf(singletoninpowunion_type, type, singletoninpowunion: $o).
% 0.60/0.95 thf(notinemptyset_type, type, notinemptyset: $o).
% 0.60/0.95 thf(nonemptyI1_type, type, nonemptyI1: $o).
% 0.60/0.95 thf(subsetTrans_type, type, subsetTrans: $o).
% 0.60/0.95 thf(setminusI_type, type, setminusI: $o).
% 0.60/0.95 thf(binunionIL_type, type, binunionIL: $o).
% 0.60/0.95 thf(subsetE2_type, type, subsetE2: $o).
% 0.60/0.95 thf(singletonsswitch_type, type, singletonsswitch: $o).
% 0.60/0.95 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o).
% 0.60/0.95 thf(setextsub_type, type, setextsub: $o).
% 0.60/0.95 thf(binunionLsub_type, type, binunionLsub: $o).
% 0.60/0.95 thf(emptysetsubset_type, type, emptysetsubset: $o).
% 0.60/0.95 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o).
% 0.60/0.95 thf(setunionE_type, type, setunionE: $o).
% 0.60/0.95 thf(setminusSubset1_type, type, setminusSubset1: $o).
% 0.60/0.95 thf(emptyinunitempty_type, type, emptyinunitempty: $o).
% 0.60/0.95 thf(binunionIR_type, type, binunionIR: $o).
% 0.60/0.95 thf(setadjoinE_type, type, setadjoinE: $o).
% 0.60/0.95 thf(setadjoinIL_type, type, setadjoinIL: $o).
% 0.60/0.95 thf(exuE1_type, type, exuE1: $o).
% 0.60/0.95 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o).
% 0.60/0.95 thf(binintersectRsub_type, type, binintersectRsub: $o).
% 0.60/0.95 thf(setminusLsub_type, type, setminusLsub: $o).
% 0.60/0.95 thf(notinsingleton_type, type, notinsingleton: $o).
% 0.60/0.95 thf(sk__22_type, type, sk__22: $i > $i > $i).
% 0.60/0.95 thf(eqimpsubset2_type, type, eqimpsubset2: $o).
% 0.60/0.95 thf(exuEu_type, type, exuEu: $o).
% 0.60/0.95 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o).
% 0.60/0.95 thf(upairsetE_type, type, upairsetE: $o).
% 0.60/0.95 thf(omega0Ax_type, type, omega0Ax: $o).
% 0.60/0.95 thf(notsubsetI_type, type, notsubsetI: $o).
% 0.60/0.95 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o).
% 0.60/0.95 thf(setextAx_type, type, setextAx: $o).
% 0.60/0.95 thf(powersetE1_type, type, powersetE1: $o).
% 0.60/0.95 thf(bs114d_type, type, bs114d: $o).
% 0.60/0.95 thf(noeltsimpempty_type, type, noeltsimpempty: $o).
% 0.60/0.95 thf(setunion_type, type, setunion: $i > $i).
% 0.60/0.95 thf(binintersectLsub_type, type, binintersectLsub: $o).
% 0.60/0.95 thf(subsetI1_type, type, subsetI1: $o).
% 0.60/0.95 thf(symdiffE_type, type, symdiffE: $o).
% 0.60/0.95 thf(descrp_type, type, descrp: $o).
% 0.60/0.95 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o).
% 0.60/0.95 thf(foundationAx_type, type, foundationAx: $o).
% 0.60/0.95 thf(emptysetAx_type, type, emptysetAx: $o).
% 0.60/0.95 thf(emptyI_type, type, emptyI: $o).
% 0.60/0.95 thf(setadjoinOr_type, type, setadjoinOr: $o).
% 0.60/0.95 thf(binintersectEL_type, type, binintersectEL: $o).
% 0.60/0.95 thf(emptyE1_type, type, emptyE1: $o).
% 0.60/0.95 thf(emptyInPowerset_type, type, emptyInPowerset: $o).
% 0.60/0.95 thf(vacuousDall_type, type, vacuousDall: $o).
% 0.60/0.95 thf(dsetconstrER_type, type, dsetconstrER: $o).
% 0.60/0.95 thf(cartprodmempair1_type, type, cartprodmempair1: $o).
% 0.60/0.95 thf(binintersectI_type, type, binintersectI: $o).
% 0.60/0.95 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o).
% 0.60/0.95 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.60/0.95 thf(cartprodpairin_type, type, cartprodpairin: $o).
% 0.60/0.95 thf(symdiffI1_type, type, symdiffI1: $o).
% 0.60/0.95 thf(subsetI2_type, type, subsetI2: $o).
% 0.60/0.95 thf(symdiffIneg1_type, type, symdiffIneg1: $o).
% 0.60/0.95 thf(setminusERneg_type, type, setminusERneg: $o).
% 0.60/0.95 thf(symdiffIneg2_type, type, symdiffIneg2: $o).
% 0.60/0.95 thf(omega__Cong_type, type, omega__Cong: $o).
% 0.60/0.95 thf(subsetRefl_type, type, subsetRefl: $o).
% 0.60/0.95 thf(uniqinunit_type, type, uniqinunit: $o).
% 0.60/0.95 thf(setminusSubset2_type, type, setminusSubset2: $o).
% 0.60/0.95 thf(prop2setE_type, type, prop2setE: $o).
% 0.60/0.95 thf(binunionEcases_type, type, binunionEcases: $o).
% 0.60/0.95 thf(nonemptyI_type, type, nonemptyI: $o).
% 0.60/0.95 thf(disjointsetsI1_type, type, disjointsetsI1: $o).
% 0.60/0.95 thf(exuE3u_type, type, exuE3u: $o).
% 0.60/0.95 thf(setminusEL_type, type, setminusEL: $o).
% 0.60/0.95 thf(singletonsubset_type, type, singletonsubset: $o).
% 0.60/0.95 thf(sepSubset_type, type, sepSubset: $o).
% 0.60/0.95 thf(eqimpsubset1_type, type, eqimpsubset1: $o).
% 0.60/0.95 thf(exuI3_type, type, exuI3: $o).
% 0.60/0.95 thf(notdallE_type, type, notdallE: $o).
% 0.60/0.95 thf(binintersectER_type, type, binintersectER: $o).
% 0.60/0.95 thf(powerset_type, type, powerset: $i > $i).
% 0.60/0.95 thf(kpairp_type, type, kpairp: $o).
% 0.60/0.95 thf(dsetconstrI_type, type, dsetconstrI: $o).
% 0.60/0.95 thf(setadjoin_type, type, setadjoin: $i > $i > $i).
% 0.60/0.95 thf(exu__Cong_type, type, exu__Cong: $o).
% 0.60/0.95 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o).
% 0.60/0.95 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o).
% 0.60/0.95 thf(replAx_type, type, replAx: $o).
% 0.60/0.95 thf(nonemptyE1_type, type, nonemptyE1: $o).
% 0.60/0.95 thf(omegaIndAx_type, type, omegaIndAx: $o).
% 0.60/0.95 thf(secondinupair_type, type, secondinupair: $o).
% 0.60/0.95 thf(inPowerset_type, type, inPowerset: $o).
% 0.60/0.95 thf(cartprodmempair_type, type, cartprodmempair: $o).
% 0.60/0.95 thf(in__Cong_type, type, in__Cong: $o).
% 0.60/0.95 thf(binunionRsub_type, type, binunionRsub: $o).
% 0.60/0.95 thf(subset2powerset_type, type, subset2powerset: $o).
% 0.60/0.95 thf(setukpairIR, axiom, setukpairIR =
% 0.60/0.95 (![Xx:$i,Xy:$i]:
% 0.60/0.95 ( in @
% 0.60/0.95 Xy @
% 0.60/0.95 ( setunion @
% 0.60/0.95 ( setadjoin @
% 0.60/0.95 ( setadjoin @ Xx @ emptyset ) @
% 0.60/0.95 ( setadjoin @
% 0.60/0.95 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ))).
% 0.60/0.95 thf('0', plain,
% 0.60/0.95 (( setukpairIR ) =
% 0.60/0.95 ( ![X4:$i,X6:$i]:
% 0.60/0.95 ( in @
% 0.60/0.95 X6 @
% 0.60/0.95 ( setunion @
% 0.60/0.95 ( setadjoin @
% 0.60/0.95 ( setadjoin @ X4 @ emptyset ) @
% 0.60/0.95 ( setadjoin @
% 0.60/0.95 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )),
% 0.60/0.95 define([status(thm)])).
% 0.60/0.95 thf(setukpairIL, axiom, setukpairIL =
% 0.60/0.95 (![Xx:$i,Xy:$i]:
% 0.60/0.95 ( in @
% 0.60/0.95 Xx @
% 0.60/0.95 ( setunion @
% 0.60/0.95 ( setadjoin @
% 0.60/0.95 ( setadjoin @ Xx @ emptyset ) @
% 0.60/0.95 ( setadjoin @
% 0.60/0.95 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ))).
% 0.60/0.95 thf('1', plain,
% 0.60/0.95 (( setukpairIL ) =
% 0.60/0.95 ( ![X4:$i,X6:$i]:
% 0.60/0.95 ( in @
% 0.60/0.95 X4 @
% 0.60/0.95 ( setunion @
% 0.60/0.95 ( setadjoin @
% 0.60/0.95 ( setadjoin @ X4 @ emptyset ) @
% 0.60/0.95 ( setadjoin @
% 0.60/0.95 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )),
% 0.60/0.95 define([status(thm)])).
% 0.60/0.95 thf(setunion__Cong, axiom, setunion__Cong =
% 0.60/0.95 (![A:$i,B:$i]:
% 0.60/0.95 ( ( ( A ) = ( B ) ) => ( ( setunion @ A ) = ( setunion @ B ) ) ))).
% 0.60/0.95 thf('2', plain,
% 0.60/0.95 (( setunion__Cong ) =
% 0.60/0.95 ( ![X4:$i,X6:$i]:
% 0.60/0.95 ( ( ( X4 ) = ( X6 ) ) => ( ( setunion @ X4 ) = ( setunion @ X6 ) ) ) )),
% 0.60/0.95 define([status(thm)])).
% 0.60/0.95 thf(subPowSU, axiom, subPowSU =
% 0.60/0.95 (![A:$i,Xx:$i]:
% 0.60/0.95 ( ( in @ Xx @ A ) => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ))).
% 0.60/0.95 thf('3', plain,
% 0.60/0.95 (( subPowSU ) =
% 0.60/0.95 ( ![X4:$i,X6:$i]:
% 0.60/0.95 ( ( in @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ ( setunion @ X4 ) ) ) ) )),
% 0.60/0.95 define([status(thm)])).
% 0.60/0.95 thf(setunionE, axiom, setunionE =
% 0.60/0.95 (![A:$i,Xx:$i]:
% 0.60/0.95 ( ( in @ Xx @ ( setunion @ A ) ) =>
% 0.60/0.95 ( ![Xphi:$o]:
% 0.60/0.95 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) =>
% 0.60/0.95 ( Xphi ) ) ) ))).
% 0.60/0.95 thf('4', plain,
% 0.60/0.95 (( setunionE ) =
% 0.60/0.95 ( ![X4:$i,X6:$i]:
% 0.60/0.95 ( ( in @ X6 @ ( setunion @ X4 ) ) =>
% 0.60/0.95 ( ![X8:$o]:
% 0.60/0.95 ( ( ![X10:$i]:
% 0.60/0.95 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) =>
% 0.60/0.95 ( X8 ) ) ) ) )),
% 0.60/0.95 define([status(thm)])).
% 0.60/0.95 thf(setunionI, axiom, setunionI =
% 0.60/0.95 (![A:$i,Xx:$i,B:$i]:
% 0.60/0.95 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))).
% 0.60/0.95 thf('5', plain,
% 0.60/0.95 (( setunionI ) =
% 0.60/0.95 ( ![X4:$i,X6:$i,X8:$i]:
% 0.60/0.95 ( ( in @ X6 @ X8 ) =>
% 0.60/0.95 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )),
% 0.60/0.95 define([status(thm)])).
% 0.60/0.95 thf(setunionAx, axiom, setunionAx =
% 0.60/0.95 (![A:$i,Xx:$i]:
% 0.60/0.95 ( ( in @ Xx @ ( setunion @ A ) ) <=>
% 0.60/0.95 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))).
% 0.60/0.95 thf('6', plain,
% 0.60/0.95 (( setunionAx ) =
% 0.60/0.95 ( ![X4:$i,X6:$i]:
% 0.60/0.95 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.60/0.95 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )),
% 0.60/0.95 define([status(thm)])).
% 0.60/0.95 thf(setunionE2, conjecture,
% 0.60/0.95 (( setextAx ) =>
% 0.60/0.95 ( ( emptysetAx ) =>
% 0.60/0.95 ( ( setadjoinAx ) =>
% 0.60/0.95 ( ( powersetAx ) =>
% 0.60/0.95 ( ( setunionAx ) =>
% 0.60/0.95 ( ( omega0Ax ) =>
% 0.60/0.95 ( ( omegaSAx ) =>
% 0.60/0.95 ( ( omegaIndAx ) =>
% 0.60/0.95 ( ( replAx ) =>
% 0.60/0.95 ( ( foundationAx ) =>
% 0.60/0.95 ( ( wellorderingAx ) =>
% 0.60/0.95 ( ( descrp ) =>
% 0.60/0.95 ( ( dsetconstrI ) =>
% 0.60/0.95 ( ( dsetconstrEL ) =>
% 0.60/0.95 ( ( dsetconstrER ) =>
% 0.60/0.95 ( ( exuE1 ) =>
% 0.60/0.95 ( ( prop2setE ) =>
% 0.60/0.95 ( ( emptysetE ) =>
% 0.60/0.95 ( ( emptysetimpfalse ) =>
% 0.60/0.95 ( ( notinemptyset ) =>
% 0.60/0.95 ( ( exuE3e ) =>
% 0.60/0.95 ( ( setext ) =>
% 0.60/0.95 ( ( emptyI ) =>
% 0.60/0.95 ( ( noeltsimpempty ) =>
% 0.60/0.95 ( ( setbeta ) =>
% 0.60/0.95 ( ( nonemptyE1 ) =>
% 0.60/0.95 ( ( nonemptyI ) =>
% 0.60/0.95 ( ( nonemptyI1 ) =>
% 0.60/0.95 ( ( setadjoinIL ) =>
% 0.60/0.95 ( ( emptyinunitempty ) =>
% 0.60/0.95 ( ( setadjoinIR ) =>
% 0.60/0.95 ( ( setadjoinE ) =>
% 0.60/0.95 ( (
% 0.60/0.95 setadjoinOr ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setoftrueEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyinPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyInPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subPowSU ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 nonemptyImpWitness ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 uniqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notinsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsswitch ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 vacuousDall ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2setI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2set2propI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdexE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdallE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 inCongP ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE3u ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exu__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyset__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoin__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powerset__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunion__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 omega__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuEu ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 descr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dsetconstr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqimpsubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqimpsubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptysetsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notsubsetI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notequalI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notequalI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetRefl ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetTrans ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoinSub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoinSub2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset2powerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setextsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetemptysetimpeq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 inPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepInPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepSubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2IR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionEcases ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset5 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 disjointsetsI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 bs114d ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusERneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusELneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusILneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusIRneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 secondinupair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairiskpair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletoninpowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletoninpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2E ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsubunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairinpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 A:$i,Xx:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 Xx @
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 A ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ?[
% 0.60/0.95 X:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 Xx @ X ) &
% 0.60/0.95 (
% 0.60/0.95 in @ X @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.60/0.95 thf(zf_stmt_0, conjecture,
% 0.60/0.95 (( setextAx ) =>
% 0.60/0.95 ( ( emptysetAx ) =>
% 0.60/0.95 ( ( setadjoinAx ) =>
% 0.60/0.95 ( ( powersetAx ) =>
% 0.60/0.95 ( ( ![X4:$i,X6:$i]:
% 0.60/0.95 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.60/0.95 ( ?[X8:$i]: ( ( in @ X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) ) =>
% 0.60/0.95 ( ( omega0Ax ) =>
% 0.60/0.95 ( ( omegaSAx ) =>
% 0.60/0.95 ( ( omegaIndAx ) =>
% 0.60/0.95 ( ( replAx ) =>
% 0.60/0.95 ( ( foundationAx ) =>
% 0.60/0.95 ( ( wellorderingAx ) =>
% 0.60/0.95 ( ( descrp ) =>
% 0.60/0.95 ( ( dsetconstrI ) =>
% 0.60/0.95 ( ( dsetconstrEL ) =>
% 0.60/0.95 ( ( dsetconstrER ) =>
% 0.60/0.95 ( ( exuE1 ) =>
% 0.60/0.95 ( ( prop2setE ) =>
% 0.60/0.95 ( ( emptysetE ) =>
% 0.60/0.95 ( ( emptysetimpfalse ) =>
% 0.60/0.95 ( ( notinemptyset ) =>
% 0.60/0.95 ( ( exuE3e ) =>
% 0.60/0.95 ( ( setext ) =>
% 0.60/0.95 ( ( emptyI ) =>
% 0.60/0.95 ( ( noeltsimpempty ) =>
% 0.60/0.95 ( ( setbeta ) =>
% 0.60/0.95 ( ( nonemptyE1 ) =>
% 0.60/0.95 ( ( nonemptyI ) =>
% 0.60/0.95 ( ( nonemptyI1 ) =>
% 0.60/0.95 ( ( setadjoinIL ) =>
% 0.60/0.95 ( ( emptyinunitempty ) =>
% 0.60/0.95 ( ( setadjoinIR ) =>
% 0.60/0.95 ( ( setadjoinE ) =>
% 0.60/0.95 ( (
% 0.60/0.95 setadjoinOr ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setoftrueEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyinPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyInPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X10:$i,
% 0.60/0.95 X12:$i,
% 0.60/0.95 X14:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X12 @ X14 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X14 @ X10 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X12 @
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 X10 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X16:$i,
% 0.60/0.95 X18:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X18 @
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 X16 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X20:$o]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X22:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X18 @ X22 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X22 @ X16 ) =>
% 0.60/0.95 (
% 0.60/0.95 X20 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 X20 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X24:$i,
% 0.60/0.95 X26:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X26 @ X24 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X26 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 X24 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 nonemptyImpWitness ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 uniqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notinsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsswitch ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 vacuousDall ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2setI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2set2propI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdexE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdallE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 inCongP ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE3u ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exu__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyset__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoin__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powerset__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X28:$i,
% 0.60/0.95 X30:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X28 ) =
% 0.60/0.95 (
% 0.60/0.95 X30 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 X28 ) =
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 X30 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 omega__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuEu ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 descr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dsetconstr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqimpsubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqimpsubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptysetsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notsubsetI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notequalI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notequalI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetRefl ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetTrans ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoinSub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoinSub2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset2powerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setextsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetemptysetimpeq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 inPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepInPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepSubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2IR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionEcases ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset5 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 disjointsetsI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 bs114d ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusERneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusELneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusILneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusIRneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 secondinupair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X32:$i,
% 0.60/0.95 X34:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X32 @
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X32 @
% 0.60/0.95 emptyset ) @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X32 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X34 @
% 0.60/0.95 emptyset ) ) @
% 0.60/0.95 emptyset ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X36:$i,
% 0.60/0.95 X38:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X38 @
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X36 @
% 0.60/0.95 emptyset ) @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X36 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X38 @
% 0.60/0.95 emptyset ) ) @
% 0.60/0.95 emptyset ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairiskpair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletoninpowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletoninpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2E ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsubunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairinpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X40:$i,
% 0.60/0.95 X42:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X42 @
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 X40 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ?[
% 0.60/0.95 X44:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X44 @ X40 ) &
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X42 @ X44 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.60/0.95 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.60/0.95 thf(zf_stmt_2, axiom,
% 0.60/0.95 (![X8:$i,X6:$i,X4:$i]:
% 0.60/0.95 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=>
% 0.60/0.95 ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ))).
% 0.60/0.95 thf(zf_stmt_3, conjecture,
% 0.60/0.95 (( setextAx ) =>
% 0.60/0.95 ( ( emptysetAx ) =>
% 0.60/0.95 ( ( setadjoinAx ) =>
% 0.60/0.95 ( ( powersetAx ) =>
% 0.60/0.95 ( ( ![X4:$i,X6:$i]:
% 0.60/0.95 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.60/0.95 ( ?[X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
% 0.60/0.95 ( ( omega0Ax ) =>
% 0.60/0.95 ( ( omegaSAx ) =>
% 0.60/0.95 ( ( omegaIndAx ) =>
% 0.60/0.95 ( ( replAx ) =>
% 0.60/0.95 ( ( foundationAx ) =>
% 0.60/0.95 ( ( wellorderingAx ) =>
% 0.60/0.95 ( ( descrp ) =>
% 0.60/0.95 ( ( dsetconstrI ) =>
% 0.60/0.95 ( ( dsetconstrEL ) =>
% 0.60/0.95 ( ( dsetconstrER ) =>
% 0.60/0.95 ( ( exuE1 ) =>
% 0.60/0.95 ( ( prop2setE ) =>
% 0.60/0.95 ( ( emptysetE ) =>
% 0.60/0.95 ( ( emptysetimpfalse ) =>
% 0.60/0.95 ( ( notinemptyset ) =>
% 0.60/0.95 ( ( exuE3e ) =>
% 0.60/0.95 ( ( setext ) =>
% 0.60/0.95 ( ( emptyI ) =>
% 0.60/0.95 ( ( noeltsimpempty ) =>
% 0.60/0.95 ( ( setbeta ) =>
% 0.60/0.95 ( ( nonemptyE1 ) =>
% 0.60/0.95 ( ( nonemptyI ) =>
% 0.60/0.95 ( ( nonemptyI1 ) =>
% 0.60/0.95 ( ( setadjoinIL ) =>
% 0.60/0.95 ( ( emptyinunitempty ) =>
% 0.60/0.95 ( ( setadjoinIR ) =>
% 0.60/0.95 ( ( setadjoinE ) =>
% 0.60/0.95 ( (
% 0.60/0.95 setadjoinOr ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setoftrueEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyinPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyInPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X10:$i,
% 0.60/0.95 X12:$i,
% 0.60/0.95 X14:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X12 @ X14 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X14 @ X10 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X12 @
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 X10 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X16:$i,
% 0.60/0.95 X18:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X18 @
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 X16 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X20:$o]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X22:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X18 @ X22 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X22 @ X16 ) =>
% 0.60/0.95 (
% 0.60/0.95 X20 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 X20 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X24:$i,
% 0.60/0.95 X26:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X26 @ X24 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X26 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 X24 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 nonemptyImpWitness ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 uniqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notinsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsswitch ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 vacuousDall ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2setI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2set2propI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdexE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdallE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 inCongP ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE3u ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exu__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyset__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoin__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powerset__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X28:$i,
% 0.60/0.95 X30:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X28 ) =
% 0.60/0.95 (
% 0.60/0.95 X30 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 X28 ) =
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 X30 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 omega__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuEu ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 descr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dsetconstr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqimpsubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqimpsubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptysetsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notsubsetI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notequalI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notequalI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetRefl ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetTrans ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoinSub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoinSub2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset2powerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setextsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetemptysetimpeq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 inPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepInPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepSubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2IR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionEcases ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset5 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 disjointsetsI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 bs114d ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusERneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusELneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusILneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusIRneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 secondinupair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X32:$i,
% 0.60/0.95 X34:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X32 @
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X32 @
% 0.60/0.95 emptyset ) @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X32 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X34 @
% 0.60/0.95 emptyset ) ) @
% 0.60/0.95 emptyset ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X36:$i,
% 0.60/0.95 X38:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X38 @
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X36 @
% 0.60/0.95 emptyset ) @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X36 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X38 @
% 0.60/0.95 emptyset ) ) @
% 0.60/0.95 emptyset ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairiskpair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletoninpowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletoninpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2E ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsubunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairinpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X40:$i,
% 0.60/0.95 X42:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X42 @
% 0.60/0.95 (
% 0.60/0.95 setunion @
% 0.60/0.95 X40 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ?[
% 0.60/0.95 X44:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X42 @ X44 ) &
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X44 @ X40 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.60/0.95 thf(zf_stmt_4, negated_conjecture,
% 0.60/0.95 (~( ( setextAx ) =>
% 0.60/0.95 ( ( emptysetAx ) =>
% 0.60/0.95 ( ( setadjoinAx ) =>
% 0.60/0.95 ( ( powersetAx ) =>
% 0.60/0.95 ( ( ![X4:$i,X6:$i]:
% 0.60/0.95 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.60/0.95 ( ?[X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
% 0.60/0.95 ( ( omega0Ax ) =>
% 0.60/0.95 ( ( omegaSAx ) =>
% 0.60/0.95 ( ( omegaIndAx ) =>
% 0.60/0.95 ( ( replAx ) =>
% 0.60/0.95 ( ( foundationAx ) =>
% 0.60/0.95 ( ( wellorderingAx ) =>
% 0.60/0.95 ( ( descrp ) =>
% 0.60/0.95 ( ( dsetconstrI ) =>
% 0.60/0.95 ( ( dsetconstrEL ) =>
% 0.60/0.95 ( ( dsetconstrER ) =>
% 0.60/0.95 ( ( exuE1 ) =>
% 0.60/0.95 ( ( prop2setE ) =>
% 0.60/0.95 ( ( emptysetE ) =>
% 0.60/0.95 ( ( emptysetimpfalse ) =>
% 0.60/0.95 ( ( notinemptyset ) =>
% 0.60/0.95 ( ( exuE3e ) =>
% 0.60/0.95 ( ( setext ) =>
% 0.60/0.95 ( ( emptyI ) =>
% 0.60/0.95 ( ( noeltsimpempty ) =>
% 0.60/0.95 ( ( setbeta ) =>
% 0.60/0.95 ( ( nonemptyE1 ) =>
% 0.60/0.95 ( ( nonemptyI ) =>
% 0.60/0.95 ( ( nonemptyI1 ) =>
% 0.60/0.95 ( ( setadjoinIL ) =>
% 0.60/0.95 ( ( emptyinunitempty ) =>
% 0.60/0.95 ( ( setadjoinIR ) =>
% 0.60/0.95 ( (
% 0.60/0.95 setadjoinE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoinOr ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setoftrueEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyinPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyInPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X10:$i,
% 0.60/0.95 X12:$i,
% 0.60/0.95 X14:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X12 @ X14 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X14 @ X10 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X12 @
% 0.60/0.95 (
% 0.60/0.95 setunion
% 0.60/0.95 @
% 0.60/0.95 X10 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X16:$i,
% 0.60/0.95 X18:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X18 @
% 0.60/0.95 (
% 0.60/0.95 setunion
% 0.60/0.95 @
% 0.60/0.95 X16 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X20:$o]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X22:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X18 @ X22 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X22 @ X16 ) =>
% 0.60/0.95 (
% 0.60/0.95 X20 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 X20 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X24:$i,
% 0.60/0.95 X26:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X26 @ X24 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X26 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setunion
% 0.60/0.95 @
% 0.60/0.95 X24 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 nonemptyImpWitness ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 uniqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notinsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsswitch ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 vacuousDall ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2setI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2set2propI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdexE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdallE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 inCongP ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE3u ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exu__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyset__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoin__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powerset__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X28:$i,
% 0.60/0.95 X30:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X28 ) =
% 0.60/0.95 (
% 0.60/0.95 X30 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunion
% 0.60/0.95 @
% 0.60/0.95 X28 ) =
% 0.60/0.95 (
% 0.60/0.95 setunion
% 0.60/0.95 @
% 0.60/0.95 X30 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 omega__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuEu ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 descr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dsetconstr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqimpsubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqimpsubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptysetsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notsubsetI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notequalI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notequalI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetRefl ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetTrans ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoinSub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoinSub2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset2powerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setextsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetemptysetimpeq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 inPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepInPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepSubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2IR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionEcases ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset5 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 disjointsetsI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 bs114d ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusERneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusELneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusILneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusIRneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 secondinupair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X32:$i,
% 0.60/0.95 X34:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X32 @
% 0.60/0.95 (
% 0.60/0.95 setunion
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X32 @
% 0.60/0.95 emptyset ) @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X32 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X34 @
% 0.60/0.95 emptyset ) ) @
% 0.60/0.95 emptyset ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X36:$i,
% 0.60/0.95 X38:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X38 @
% 0.60/0.95 (
% 0.60/0.95 setunion
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X36 @
% 0.60/0.95 emptyset ) @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X36 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X38 @
% 0.60/0.95 emptyset ) ) @
% 0.60/0.95 emptyset ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairiskpair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletoninpowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletoninpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2E ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsubunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairinpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X40:$i,
% 0.60/0.95 X42:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X42 @
% 0.60/0.95 (
% 0.60/0.95 setunion
% 0.60/0.95 @
% 0.60/0.95 X40 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ?[
% 0.60/0.95 X44:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X42 @ X44 ) &
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X44 @ X40 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 0.60/0.95 inference('cnf.neg', [status(esa)], [zf_stmt_3])).
% 0.60/0.95 thf(zip_derived_cl6, plain,
% 0.60/0.95 (![X1 : $i, X3 : $i]:
% 0.60/0.95 ( (zip_tseitin_0 @ (sk__22 @ X3 @ X1) @ X3 @ X1)
% 0.60/0.95 | ~ (in @ X3 @ (setunion @ X1)))),
% 0.60/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.95 thf(zip_derived_cl0, plain,
% 0.60/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.95 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X2 @ X1))),
% 0.60/0.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.60/0.95 thf(zip_derived_cl165, plain,
% 0.60/0.95 (![X0 : $i, X1 : $i]:
% 0.60/0.95 (~ (in @ X1 @ (setunion @ X0)) | (in @ (sk__22 @ X1 @ X0) @ X0))),
% 0.60/0.95 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 0.60/0.95 thf(zip_derived_cl6, plain,
% 0.60/0.95 (![X1 : $i, X3 : $i]:
% 0.60/0.95 ( (zip_tseitin_0 @ (sk__22 @ X3 @ X1) @ X3 @ X1)
% 0.60/0.95 | ~ (in @ X3 @ (setunion @ X1)))),
% 0.60/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.95 thf(zip_derived_cl1, plain,
% 0.60/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.95 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X1 @ X0 @ X2))),
% 0.60/0.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.60/0.95 thf(zip_derived_cl164, plain,
% 0.60/0.95 (![X0 : $i, X1 : $i]:
% 0.60/0.95 (~ (in @ X1 @ (setunion @ X0)) | (in @ X1 @ (sk__22 @ X1 @ X0)))),
% 0.60/0.95 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.60/0.95 thf(zip_derived_cl79, plain,
% 0.60/0.95 (![X13 : $i]: (~ (in @ sk__21 @ X13) | ~ (in @ X13 @ sk__20))),
% 0.60/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.95 thf(zip_derived_cl192, plain,
% 0.60/0.95 (![X0 : $i]:
% 0.60/0.95 (~ (in @ sk__21 @ (setunion @ X0))
% 0.60/0.95 | ~ (in @ (sk__22 @ sk__21 @ X0) @ sk__20))),
% 0.60/0.95 inference('sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl79])).
% 0.60/0.95 thf(zip_derived_cl206, plain,
% 0.60/0.95 ((~ (in @ sk__21 @ (setunion @ sk__20))
% 0.60/0.95 | ~ (in @ sk__21 @ (setunion @ sk__20)))),
% 0.60/0.95 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl192])).
% 0.60/0.95 thf(zip_derived_cl80, plain, ( (in @ sk__21 @ (setunion @ sk__20))),
% 0.60/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.95 thf(zip_derived_cl80, plain, ( (in @ sk__21 @ (setunion @ sk__20))),
% 0.60/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.95 thf(zip_derived_cl208, plain, ($false),
% 0.60/0.95 inference('demod', [status(thm)],
% 0.60/0.95 [zip_derived_cl206, zip_derived_cl80, zip_derived_cl80])).
% 0.60/0.95
% 0.60/0.95 % SZS output end Refutation
% 0.60/0.95
% 0.60/0.95
% 0.60/0.95 % Terminating...
% 0.61/1.00 % Runner terminated.
% 1.91/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------