0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WGWY47RC9i true 0.15/0.37 % Computer : n017.cluster.edu 0.15/0.37 % Model : x86_64 x86_64 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.37 % Memory : 8042.1875MB 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.37 % CPULimit : 1440 0.15/0.37 % WCLimit : 180 0.15/0.37 % DateTime : Mon Jul 3 10:13:23 EDT 2023 0.15/0.37 % CPUTime : 0.15/0.37 % Running portfolio for 1440 s 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.37 % Number of cores: 8 0.15/0.37 % Python version: Python 3.6.8 0.15/0.38 % Running in HO mode 0.54/0.70 % Total configuration time : 828 0.54/0.70 % Estimated wc time : 1656 0.54/0.70 % Estimated cpu time (8 cpus) : 207.0 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 65.11/8.91 % Solved by lams/40_c_ic.sh. 65.11/8.91 % done 774 iterations in 8.122s 65.11/8.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 65.11/8.91 % SZS output start Refutation 65.11/8.91 thf(setadjoinAx_type, type, setadjoinAx: $o). 65.11/8.91 thf(notdexE_type, type, notdexE: $o). 65.11/8.91 thf(setunionAx_type, type, setunionAx: $o). 65.11/8.91 thf(powersetE_type, type, powersetE: $o). 65.11/8.91 thf(omegaSAx_type, type, omegaSAx: $o). 65.11/8.91 thf(exuI1_type, type, exuI1: $o). 65.11/8.91 thf(exuI2_type, type, exuI2: $o). 65.11/8.91 thf(notequalI2_type, type, notequalI2: $o). 65.11/8.91 thf(sk__35_type, type, sk__35: $i). 65.11/8.91 thf(powerset__Cong_type, type, powerset__Cong: $o). 65.11/8.91 thf(wellorderingAx_type, type, wellorderingAx: $o). 65.11/8.91 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 65.11/8.91 thf(setoftrueEq_type, type, setoftrueEq: $o). 65.11/8.91 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 65.11/8.91 thf(sepInPowerset_type, type, sepInPowerset: $o). 65.11/8.91 thf(sk__32_type, type, sk__32: $i > $i > $i). 65.11/8.91 thf(binunionE_type, type, binunionE: $o). 65.11/8.91 thf(setext_type, type, setext: $o). 65.11/8.91 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 65.11/8.91 thf(descr__Cong_type, type, descr__Cong: $o). 65.11/8.91 thf('#l_lift8931_type', type, '#l_lift8931': $i > $o). 65.11/8.91 thf(in_type, type, in: $i > $i > $o). 65.11/8.91 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 65.11/8.91 thf(setadjoinIR_type, type, setadjoinIR: $o). 65.11/8.91 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 65.11/8.91 thf(upairset2IR_type, type, upairset2IR: $o). 65.11/8.91 thf(subsetE_type, type, subsetE: $o). 65.11/8.91 thf(prop2set2propI_type, type, prop2set2propI: $o). 65.11/8.91 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 65.11/8.91 thf(setbeta_type, type, setbeta: $o). 65.11/8.91 thf(eqinunit_type, type, eqinunit: $o). 65.11/8.91 thf(upairsetIL_type, type, upairsetIL: $o). 65.11/8.91 thf(powersetI1_type, type, powersetI1: $o). 65.11/8.91 thf(powersetAx_type, type, powersetAx: $o). 65.11/8.91 thf(powersetI_type, type, powersetI: $o). 65.11/8.91 thf(upairsetIR_type, type, upairsetIR: $o). 65.11/8.91 thf(inCongP_type, type, inCongP: $o). 65.11/8.91 thf(setadjoinSub_type, type, setadjoinSub: $o). 65.11/8.91 thf(exuE3e_type, type, exuE3e: $o). 65.11/8.91 thf(emptysetE_type, type, emptysetE: $o). 65.11/8.91 thf(setunionI_type, type, setunionI: $o). 65.11/8.91 thf(setunion__Cong_type, type, setunion__Cong: $o). 65.11/8.91 thf(prop2setI_type, type, prop2setI: $o). 65.11/8.91 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 65.11/8.91 thf(exuE2_type, type, exuE2: $o). 65.11/8.91 thf(emptyset_type, type, emptyset: $i). 65.11/8.91 thf(powersetsubset_type, type, powersetsubset: $o). 65.11/8.91 thf(subPowSU_type, type, subPowSU: $o). 65.11/8.91 thf(notequalI1_type, type, notequalI1: $o). 65.11/8.91 thf(sk__34_type, type, sk__34: $i). 65.11/8.91 thf(notinemptyset_type, type, notinemptyset: $o). 65.11/8.91 thf(nonemptyI1_type, type, nonemptyI1: $o). 65.11/8.91 thf(subsetTrans_type, type, subsetTrans: $o). 65.11/8.91 thf(binunionIL_type, type, binunionIL: $o). 65.11/8.91 thf(subsetE2_type, type, subsetE2: $o). 65.11/8.91 thf(singletonsswitch_type, type, singletonsswitch: $o). 65.11/8.91 thf(setextsub_type, type, setextsub: $o). 65.11/8.91 thf(binunionLsub_type, type, binunionLsub: $o). 65.11/8.91 thf(binintersect_type, type, binintersect: $i > $i > $i). 65.11/8.91 thf(emptysetsubset_type, type, emptysetsubset: $o). 65.11/8.91 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 65.11/8.91 thf(setunionE_type, type, setunionE: $o). 65.11/8.91 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 65.11/8.91 thf(binunionIR_type, type, binunionIR: $o). 65.11/8.91 thf(setadjoinE_type, type, setadjoinE: $o). 65.11/8.91 thf(setadjoinIL_type, type, setadjoinIL: $o). 65.11/8.91 thf(exuE1_type, type, exuE1: $o). 65.11/8.91 thf(notinsingleton_type, type, notinsingleton: $o). 65.11/8.91 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 65.11/8.91 thf(exuEu_type, type, exuEu: $o). 65.11/8.91 thf(binintersectI_type, type, binintersectI: $o). 65.11/8.91 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 65.11/8.91 thf(upairsetE_type, type, upairsetE: $o). 65.11/8.91 thf(omega0Ax_type, type, omega0Ax: $o). 65.11/8.91 thf(notsubsetI_type, type, notsubsetI: $o). 65.11/8.91 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 65.11/8.91 thf(setextAx_type, type, setextAx: $o). 65.11/8.91 thf(powersetE1_type, type, powersetE1: $o). 65.11/8.91 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 65.11/8.91 thf(subsetI1_type, type, subsetI1: $o). 65.11/8.91 thf(descrp_type, type, descrp: $o). 65.11/8.91 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 65.11/8.91 thf(foundationAx_type, type, foundationAx: $o). 65.11/8.91 thf(emptysetAx_type, type, emptysetAx: $o). 65.11/8.91 thf(emptyI_type, type, emptyI: $o). 65.11/8.91 thf(setadjoinOr_type, type, setadjoinOr: $o). 65.11/8.91 thf(emptyE1_type, type, emptyE1: $o). 65.11/8.91 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 65.11/8.91 thf(vacuousDall_type, type, vacuousDall: $o). 65.11/8.91 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 65.11/8.91 thf(dsetconstrER_type, type, dsetconstrER: $o). 65.11/8.91 thf(subsetI2_type, type, subsetI2: $o). 65.11/8.91 thf('#l_lift8932_type', type, '#l_lift8932': $i > $i > $o). 65.11/8.91 thf(omega__Cong_type, type, omega__Cong: $o). 65.11/8.91 thf(subsetRefl_type, type, subsetRefl: $o). 65.11/8.91 thf(uniqinunit_type, type, uniqinunit: $o). 65.11/8.91 thf(prop2setE_type, type, prop2setE: $o). 65.11/8.91 thf(binunionEcases_type, type, binunionEcases: $o). 65.11/8.91 thf(nonemptyI_type, type, nonemptyI: $o). 65.11/8.91 thf(exuE3u_type, type, exuE3u: $o). 65.11/8.91 thf(sepSubset_type, type, sepSubset: $o). 65.11/8.91 thf(sk__33_type, type, sk__33: $i). 65.11/8.91 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 65.11/8.91 thf(exuI3_type, type, exuI3: $o). 65.11/8.91 thf(notdallE_type, type, notdallE: $o). 65.11/8.91 thf(dsetconstrI_type, type, dsetconstrI: $o). 65.11/8.91 thf(exu__Cong_type, type, exu__Cong: $o). 65.11/8.91 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 65.11/8.91 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 65.11/8.91 thf(replAx_type, type, replAx: $o). 65.11/8.91 thf(nonemptyE1_type, type, nonemptyE1: $o). 65.11/8.91 thf(omegaIndAx_type, type, omegaIndAx: $o). 65.11/8.91 thf(inPowerset_type, type, inPowerset: $o). 65.11/8.91 thf(subset_type, type, subset: $i > $i > $o). 65.11/8.91 thf(in__Cong_type, type, in__Cong: $o). 65.11/8.91 thf(binunionRsub_type, type, binunionRsub: $o). 65.11/8.91 thf(subset2powerset_type, type, subset2powerset: $o). 65.11/8.91 thf(binintersectI, axiom, binintersectI = 65.11/8.91 (![A:$i,B:$i,Xx:$i]: 65.11/8.91 ( ( in @ Xx @ A ) => 65.11/8.91 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))). 65.11/8.91 thf('0', plain, 65.11/8.91 (( binintersectI ) = 65.11/8.91 ( ![X4:$i,X6:$i,X8:$i]: 65.11/8.91 ( ( in @ X8 @ X4 ) => 65.11/8.91 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(binintersect, axiom,(( binintersect ) = 65.11/8.91 (^[A:$i,B:$i]: ( dsetconstr @ A @ ( ^[Xx:$i]: ( in @ Xx @ B ) ) )))). 65.11/8.91 thf('1', plain, 65.11/8.91 (( binintersect ) = 65.11/8.91 ( ^[A:$i,B:$i]: ( dsetconstr @ A @ ( ^[Xx:$i]: ( in @ Xx @ B ) ) ) )), 65.11/8.91 inference('simplify_rw_rule', [status(thm)], [binintersect])). 65.11/8.91 thf('2', plain, 65.11/8.91 (( binintersect ) = 65.11/8.91 ( ^[V_1:$i,V_2:$i]: 65.11/8.91 ( dsetconstr @ V_1 @ ( ^[V_3:$i]: ( in @ V_3 @ V_2 ) ) ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 65.11/8.91 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 65.11/8.91 thf('3', plain, 65.11/8.91 (( subsetemptysetimpeq ) = 65.11/8.91 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(setextsub, axiom, setextsub = 65.11/8.91 (![A:$i,B:$i]: 65.11/8.91 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 65.11/8.91 thf('4', plain, 65.11/8.91 (( setextsub ) = 65.11/8.91 ( ![X4:$i,X6:$i]: 65.11/8.91 ( ( subset @ X4 @ X6 ) => 65.11/8.91 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(subsetTrans, axiom, subsetTrans = 65.11/8.91 (![A:$i,B:$i,C:$i]: 65.11/8.91 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 65.11/8.91 thf('5', plain, 65.11/8.91 (( subsetTrans ) = 65.11/8.91 ( ![X4:$i,X6:$i,X8:$i]: 65.11/8.91 ( ( subset @ X4 @ X6 ) => 65.11/8.91 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 65.11/8.91 thf('6', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(notequalI1, axiom, notequalI1 = 65.11/8.91 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 65.11/8.91 thf('7', plain, 65.11/8.91 (( notequalI1 ) = 65.11/8.91 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(notsubsetI, axiom, notsubsetI = 65.11/8.91 (![A:$i,B:$i,Xx:$i]: 65.11/8.91 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 65.11/8.91 thf('8', plain, 65.11/8.91 (( notsubsetI ) = 65.11/8.91 ( ![X4:$i,X6:$i,X8:$i]: 65.11/8.91 ( ( in @ X8 @ X4 ) => 65.11/8.91 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(subsetE2, axiom, subsetE2 = 65.11/8.91 (![A:$i,B:$i,Xx:$i]: 65.11/8.91 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 65.11/8.91 thf('9', plain, 65.11/8.91 (( subsetE2 ) = 65.11/8.91 ( ![X4:$i,X6:$i,X8:$i]: 65.11/8.91 ( ( subset @ X4 @ X6 ) => 65.11/8.91 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(subsetE, axiom, subsetE = 65.11/8.91 (![A:$i,B:$i,Xx:$i]: 65.11/8.91 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 65.11/8.91 thf('10', plain, 65.11/8.91 (( subsetE ) = 65.11/8.91 ( ![X4:$i,X6:$i,X8:$i]: 65.11/8.91 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(emptysetsubset, axiom, emptysetsubset = 65.11/8.91 (![A:$i]: ( subset @ emptyset @ A ))). 65.11/8.91 thf('11', plain, 65.11/8.91 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(subsetI2, axiom, subsetI2 = 65.11/8.91 (![A:$i,B:$i]: 65.11/8.91 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 65.11/8.91 ( subset @ A @ B ) ))). 65.11/8.91 thf('12', plain, 65.11/8.91 (( subsetI2 ) = 65.11/8.91 ( ![X4:$i,X6:$i]: 65.11/8.91 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 65.11/8.91 ( subset @ X4 @ X6 ) ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(eqimpsubset1, axiom, eqimpsubset1 = 65.11/8.91 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 65.11/8.91 thf('13', plain, 65.11/8.91 (( eqimpsubset1 ) = 65.11/8.91 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(eqimpsubset2, axiom, eqimpsubset2 = 65.11/8.91 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 65.11/8.91 thf('14', plain, 65.11/8.91 (( eqimpsubset2 ) = 65.11/8.91 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(subsetI1, axiom, subsetI1 = 65.11/8.91 (![A:$i,B:$i]: 65.11/8.91 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 65.11/8.91 ( subset @ A @ B ) ))). 65.11/8.91 thf('15', plain, 65.11/8.91 (( subsetI1 ) = 65.11/8.91 ( ![X4:$i,X6:$i]: 65.11/8.91 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 65.11/8.91 ( subset @ X4 @ X6 ) ) )), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(binintersectSubset5, conjecture, 65.11/8.91 (( setextAx ) => 65.11/8.91 ( ( emptysetAx ) => 65.11/8.91 ( ( setadjoinAx ) => 65.11/8.91 ( ( powersetAx ) => 65.11/8.91 ( ( setunionAx ) => 65.11/8.91 ( ( omega0Ax ) => 65.11/8.91 ( ( omegaSAx ) => 65.11/8.91 ( ( omegaIndAx ) => 65.11/8.91 ( ( replAx ) => 65.11/8.91 ( ( foundationAx ) => 65.11/8.91 ( ( wellorderingAx ) => 65.11/8.91 ( ( descrp ) => 65.11/8.91 ( ( dsetconstrI ) => 65.11/8.91 ( ( dsetconstrEL ) => 65.11/8.91 ( ( dsetconstrER ) => 65.11/8.91 ( ( exuE1 ) => 65.11/8.91 ( ( prop2setE ) => 65.11/8.91 ( ( emptysetE ) => 65.11/8.91 ( ( emptysetimpfalse ) => 65.11/8.91 ( ( notinemptyset ) => 65.11/8.91 ( ( exuE3e ) => 65.11/8.91 ( ( setext ) => 65.11/8.91 ( ( emptyI ) => 65.11/8.91 ( ( noeltsimpempty ) => 65.11/8.91 ( ( setbeta ) => 65.11/8.91 ( ( nonemptyE1 ) => 65.11/8.91 ( ( nonemptyI ) => 65.11/8.91 ( ( nonemptyI1 ) => 65.11/8.91 ( ( setadjoinIL ) => 65.11/8.91 ( ( emptyinunitempty ) => 65.11/8.91 ( ( setadjoinIR ) => 65.11/8.91 ( ( setadjoinE ) => 65.11/8.91 ( ( 65.11/8.91 setadjoinOr ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setoftrueEq ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetI ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 emptyinPowerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 emptyInPowerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setunionI ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setunionE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subPowSU ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuE2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 nonemptyImpWitness ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 uniqinunit ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notinsingleton ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 eqinunit ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 singletonsswitch ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 upairsetE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 upairsetIL ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 upairsetIR ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 emptyE1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 vacuousDall ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 quantDeMorgan1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 quantDeMorgan2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 quantDeMorgan3 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 quantDeMorgan4 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 prop2setI ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 prop2set2propI ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notdexE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notdallE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuI1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuI3 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuI2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 inCongP ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuE3u ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exu__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 emptyset__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setadjoin__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powerset__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setunion__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 omega__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuEu ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 descr__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 dsetconstr__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subsetI1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 eqimpsubset2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 eqimpsubset1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subsetI2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 emptysetsubset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subsetE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subsetE2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notsubsetI ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notequalI1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notequalI2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subsetRefl ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subsetTrans ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setadjoinSub ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setadjoinSub2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset2powerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setextsub ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subsetemptysetimpeq ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetI1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetE1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 inPowerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetsubset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 sepInPowerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 sepSubset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionIL ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 upairset2IR ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionIR ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionEcases ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionLsub ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionRsub ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binintersectI ) => 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 A:$i,B:$i, 65.11/8.91 C:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 C @ A ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 C @ B ) => 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 C @ 65.11/8.91 ( 65.11/8.91 binintersect 65.11/8.91 @ 65.11/8.91 A @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 65.11/8.91 thf(zf_stmt_0, conjecture, 65.11/8.91 (( setextAx ) => 65.11/8.91 ( ( emptysetAx ) => 65.11/8.91 ( ( setadjoinAx ) => 65.11/8.91 ( ( powersetAx ) => 65.11/8.91 ( ( setunionAx ) => 65.11/8.91 ( ( omega0Ax ) => 65.11/8.91 ( ( omegaSAx ) => 65.11/8.91 ( ( omegaIndAx ) => 65.11/8.91 ( ( replAx ) => 65.11/8.91 ( ( foundationAx ) => 65.11/8.91 ( ( wellorderingAx ) => 65.11/8.91 ( ( descrp ) => 65.11/8.91 ( ( dsetconstrI ) => 65.11/8.91 ( ( dsetconstrEL ) => 65.11/8.91 ( ( dsetconstrER ) => 65.11/8.91 ( ( exuE1 ) => 65.11/8.91 ( ( prop2setE ) => 65.11/8.91 ( ( emptysetE ) => 65.11/8.91 ( ( emptysetimpfalse ) => 65.11/8.91 ( ( notinemptyset ) => 65.11/8.91 ( ( exuE3e ) => 65.11/8.91 ( ( setext ) => 65.11/8.91 ( ( emptyI ) => 65.11/8.91 ( ( noeltsimpempty ) => 65.11/8.91 ( ( setbeta ) => 65.11/8.91 ( ( nonemptyE1 ) => 65.11/8.91 ( ( nonemptyI ) => 65.11/8.91 ( ( nonemptyI1 ) => 65.11/8.91 ( ( setadjoinIL ) => 65.11/8.91 ( ( emptyinunitempty ) => 65.11/8.91 ( ( setadjoinIR ) => 65.11/8.91 ( ( setadjoinE ) => 65.11/8.91 ( ( 65.11/8.91 setadjoinOr ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setoftrueEq ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetI ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 emptyinPowerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 emptyInPowerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setunionI ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setunionE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subPowSU ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuE2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 nonemptyImpWitness ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 uniqinunit ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notinsingleton ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 eqinunit ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 singletonsswitch ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 upairsetE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 upairsetIL ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 upairsetIR ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 emptyE1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 vacuousDall ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 quantDeMorgan1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 quantDeMorgan2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 quantDeMorgan3 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 quantDeMorgan4 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 prop2setI ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 prop2set2propI ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notdexE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notdallE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuI1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuI3 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuI2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 inCongP ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuE3u ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exu__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 emptyset__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setadjoin__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powerset__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setunion__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 omega__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuEu ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 descr__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 dsetconstr__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X4:$i, 65.11/8.91 X6:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X8:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X8 @ X4 ) => 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X8 @ X6 ) ) ) => 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X4 @ X6 ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X10:$i, 65.11/8.91 X12:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 X10 ) = 65.11/8.91 ( 65.11/8.91 X12 ) ) => 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X12 @ X10 ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X14:$i, 65.11/8.91 X16:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 X14 ) = 65.11/8.91 ( 65.11/8.91 X16 ) ) => 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X14 @ X16 ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X18:$i, 65.11/8.91 X20:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X22:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X22 @ X18 ) => 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X22 @ X20 ) ) ) => 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X18 @ X20 ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X24:$i]: 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 emptyset @ 65.11/8.91 X24 ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X26:$i, 65.11/8.91 X28:$i, 65.11/8.91 X30:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X26 @ X28 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X30 @ X26 ) => 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X30 @ X28 ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X32:$i, 65.11/8.91 X34:$i, 65.11/8.91 X36:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X32 @ X34 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ~( 65.11/8.91 in @ 65.11/8.91 X36 @ X34 ) ) => 65.11/8.91 ( 65.11/8.91 ~( 65.11/8.91 in @ 65.11/8.91 X36 @ X32 ) ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X38:$i, 65.11/8.91 X40:$i, 65.11/8.91 X42:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X42 @ X38 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ~( 65.11/8.91 in @ 65.11/8.91 X42 @ X40 ) ) => 65.11/8.91 ( 65.11/8.91 ~( 65.11/8.91 subset @ 65.11/8.91 X38 @ X40 ) ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X44:$i, 65.11/8.91 X46:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ~( 65.11/8.91 subset @ 65.11/8.91 X44 @ X46 ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 X44 ) != 65.11/8.91 ( 65.11/8.91 X46 ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notequalI2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X48:$i]: 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X48 @ X48 ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X50:$i, 65.11/8.91 X52:$i, 65.11/8.91 X54:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X50 @ X52 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X52 @ X54 ) => 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X50 @ X54 ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setadjoinSub ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setadjoinSub2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset2powerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X56:$i, 65.11/8.91 X58:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X56 @ X58 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X58 @ X56 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 X56 ) = 65.11/8.91 ( 65.11/8.91 X58 ) ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X60:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X60 @ 65.11/8.91 emptyset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 X60 ) = 65.11/8.91 ( 65.11/8.91 emptyset ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetI1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetE1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 inPowerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetsubset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 sepInPowerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 sepSubset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionIL ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 upairset2IR ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionIR ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionEcases ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionLsub ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionRsub ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X62:$i, 65.11/8.91 X64:$i, 65.11/8.91 X66:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X66 @ X62 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X66 @ X64 ) => 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X66 @ 65.11/8.91 ( 65.11/8.91 dsetconstr 65.11/8.91 @ 65.11/8.91 X62 @ 65.11/8.91 ( 65.11/8.91 ^[ 65.11/8.91 V_1:$i]: 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 V_1 @ X64 ) ) ) ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X68:$i, 65.11/8.91 X70:$i, 65.11/8.91 X72:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X72 @ X68 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X72 @ X70 ) => 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X72 @ 65.11/8.91 ( 65.11/8.91 dsetconstr 65.11/8.91 @ 65.11/8.91 X68 @ 65.11/8.91 ( 65.11/8.91 ^[ 65.11/8.91 V_2:$i]: 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 V_2 @ X70 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 65.11/8.91 thf(zf_stmt_1, negated_conjecture, 65.11/8.91 (~( ( setextAx ) => 65.11/8.91 ( ( emptysetAx ) => 65.11/8.91 ( ( setadjoinAx ) => 65.11/8.91 ( ( powersetAx ) => 65.11/8.91 ( ( setunionAx ) => 65.11/8.91 ( ( omega0Ax ) => 65.11/8.91 ( ( omegaSAx ) => 65.11/8.91 ( ( omegaIndAx ) => 65.11/8.91 ( ( replAx ) => 65.11/8.91 ( ( foundationAx ) => 65.11/8.91 ( ( wellorderingAx ) => 65.11/8.91 ( ( descrp ) => 65.11/8.91 ( ( dsetconstrI ) => 65.11/8.91 ( ( dsetconstrEL ) => 65.11/8.91 ( ( dsetconstrER ) => 65.11/8.91 ( ( exuE1 ) => 65.11/8.91 ( ( prop2setE ) => 65.11/8.91 ( ( emptysetE ) => 65.11/8.91 ( ( emptysetimpfalse ) => 65.11/8.91 ( ( notinemptyset ) => 65.11/8.91 ( ( exuE3e ) => 65.11/8.91 ( ( setext ) => 65.11/8.91 ( ( emptyI ) => 65.11/8.91 ( ( noeltsimpempty ) => 65.11/8.91 ( ( setbeta ) => 65.11/8.91 ( ( nonemptyE1 ) => 65.11/8.91 ( ( nonemptyI ) => 65.11/8.91 ( ( nonemptyI1 ) => 65.11/8.91 ( ( setadjoinIL ) => 65.11/8.91 ( ( emptyinunitempty ) => 65.11/8.91 ( ( setadjoinIR ) => 65.11/8.91 ( ( 65.11/8.91 setadjoinE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setadjoinOr ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setoftrueEq ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetI ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 emptyinPowerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 emptyInPowerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setunionI ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setunionE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subPowSU ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuE2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 nonemptyImpWitness ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 uniqinunit ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notinsingleton ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 eqinunit ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 singletonsswitch ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 upairsetE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 upairsetIL ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 upairsetIR ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 emptyE1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 vacuousDall ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 quantDeMorgan1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 quantDeMorgan2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 quantDeMorgan3 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 quantDeMorgan4 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 prop2setI ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 prop2set2propI ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notdexE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notdallE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuI1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuI3 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuI2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 inCongP ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuE3u ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exu__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 emptyset__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setadjoin__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powerset__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setunion__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 omega__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 exuEu ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 descr__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 dsetconstr__Cong ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X4:$i, 65.11/8.91 X6:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X8:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X8 @ X4 ) => 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X8 @ X6 ) ) ) => 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X4 @ X6 ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X10:$i, 65.11/8.91 X12:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 X10 ) = 65.11/8.91 ( 65.11/8.91 X12 ) ) => 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X12 @ X10 ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X14:$i, 65.11/8.91 X16:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 X14 ) = 65.11/8.91 ( 65.11/8.91 X16 ) ) => 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X14 @ X16 ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X18:$i, 65.11/8.91 X20:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X22:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X22 @ X18 ) => 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X22 @ X20 ) ) ) => 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X18 @ X20 ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X24:$i]: 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 emptyset @ 65.11/8.91 X24 ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X26:$i, 65.11/8.91 X28:$i, 65.11/8.91 X30:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X26 @ X28 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X30 @ X26 ) => 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X30 @ X28 ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X32:$i, 65.11/8.91 X34:$i, 65.11/8.91 X36:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X32 @ X34 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ~ 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X36 @ X34 ) ) => 65.11/8.91 ( 65.11/8.91 ~ 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X36 @ X32 ) ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X38:$i, 65.11/8.91 X40:$i, 65.11/8.91 X42:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X42 @ X38 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ~ 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X42 @ X40 ) ) => 65.11/8.91 ( 65.11/8.91 ~ 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X38 @ X40 ) ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X44:$i, 65.11/8.91 X46:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ~ 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X44 @ X46 ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 X44 ) != 65.11/8.91 ( 65.11/8.91 X46 ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 notequalI2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X48:$i]: 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X48 @ X48 ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X50:$i, 65.11/8.91 X52:$i, 65.11/8.91 X54:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X50 @ X52 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X52 @ X54 ) => 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X50 @ X54 ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setadjoinSub ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 setadjoinSub2 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset2powerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X56:$i, 65.11/8.91 X58:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X56 @ X58 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X58 @ X56 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 X56 ) = 65.11/8.91 ( 65.11/8.91 X58 ) ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X60:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X60 @ 65.11/8.91 emptyset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 X60 ) = 65.11/8.91 ( 65.11/8.91 emptyset ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetI1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetE1 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 inPowerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 powersetsubset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 sepInPowerset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 sepSubset ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionIL ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 upairset2IR ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionIR ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionEcases ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionE ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionLsub ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 binunionRsub ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X62:$i, 65.11/8.91 X64:$i, 65.11/8.91 X66:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X66 @ X62 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X66 @ X64 ) => 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 X66 @ 65.11/8.91 ( 65.11/8.91 dsetconstr 65.11/8.91 @ 65.11/8.91 X62 @ 65.11/8.91 ( 65.11/8.91 ^[ 65.11/8.91 V_1:$i]: 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 V_1 @ X64 ) ) ) ) ) ) ) => 65.11/8.91 ( 65.11/8.91 ![ 65.11/8.91 X68:$i, 65.11/8.91 X70:$i, 65.11/8.91 X72:$i]: 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X72 @ X68 ) => 65.11/8.91 ( 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X72 @ X70 ) => 65.11/8.91 ( 65.11/8.91 subset @ 65.11/8.91 X72 @ 65.11/8.91 ( 65.11/8.91 dsetconstr 65.11/8.91 @ 65.11/8.91 X68 @ 65.11/8.91 ( 65.11/8.91 ^[ 65.11/8.91 V_2:$i]: 65.11/8.91 ( 65.11/8.91 in @ 65.11/8.91 V_2 @ X70 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 65.11/8.91 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 65.11/8.91 thf(zip_derived_cl57, plain, 65.11/8.91 (![X15 : $i, X16 : $i, X17 : $i]: 65.11/8.91 (~ (in @ X15 @ X16) 65.11/8.91 | (in @ X15 @ (dsetconstr @ X17 @ (^[Y0 : $i]: (in @ Y0 @ X16)))) 65.11/8.91 | ~ (in @ X15 @ X17))), 65.11/8.91 inference('cnf', [status(esa)], [zf_stmt_1])). 65.11/8.91 thf(zip_derived_cl55, plain, 65.11/8.91 (~ (subset @ sk__35 @ 65.11/8.91 (dsetconstr @ sk__33 @ (^[Y0 : $i]: (in @ Y0 @ sk__34))))), 65.11/8.91 inference('cnf', [status(esa)], [zf_stmt_1])). 65.11/8.91 thf(zip_derived_cl10370, plain, 65.11/8.91 (![X1 : $i]: (('#l_lift8931' @ X1) = (in @ X1 @ sk__34))), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(zip_derived_cl10373, plain, 65.11/8.91 ((('#l_lift8932' @ sk__34) = ('#l_lift8931'))), define([status(thm)])). 65.11/8.91 thf(zip_derived_cl55, plain, 65.11/8.91 (~ (subset @ sk__35 @ 65.11/8.91 (dsetconstr @ sk__33 @ (^[Y0 : $i]: (in @ Y0 @ sk__34))))), 65.11/8.91 inference('cnf', [status(esa)], [zf_stmt_1])). 65.11/8.91 thf(zip_derived_cl10370, plain, 65.11/8.91 (![X1 : $i]: (('#l_lift8931' @ X1) = (in @ X1 @ sk__34))), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(zip_derived_cl10371, plain, 65.11/8.91 (~ (subset @ sk__35 @ (dsetconstr @ sk__33 @ '#l_lift8931'))), 65.11/8.91 inference('lambda_lifting', [status(thm)], 65.11/8.91 [zip_derived_cl55, zip_derived_cl10370])). 65.11/8.91 thf(zip_derived_cl73, plain, 65.11/8.91 (![X28 : $i, X29 : $i]: 65.11/8.91 ( (subset @ X28 @ X29) | (in @ (sk__32 @ X29 @ X28) @ X28))), 65.11/8.91 inference('cnf', [status(esa)], [zf_stmt_1])). 65.11/8.91 thf(zip_derived_cl56, plain, ( (subset @ sk__35 @ sk__33)), 65.11/8.91 inference('cnf', [status(esa)], [zf_stmt_1])). 65.11/8.91 thf(zip_derived_cl41, plain, 65.11/8.91 (![X4 : $i, X5 : $i, X6 : $i]: 65.11/8.91 (~ (subset @ X4 @ X5) | (in @ X6 @ X5) | ~ (in @ X6 @ X4))), 65.11/8.91 inference('cnf', [status(esa)], [zf_stmt_1])). 65.11/8.91 thf(zip_derived_cl353, plain, 65.11/8.91 (![X0 : $i]: (~ (in @ X0 @ sk__35) | (in @ X0 @ sk__33))), 65.11/8.91 inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl41])). 65.11/8.91 thf(zip_derived_cl72, plain, 65.11/8.91 (![X28 : $i, X29 : $i]: 65.11/8.91 ( (subset @ X28 @ X29) | ~ (in @ (sk__32 @ X29 @ X28) @ X29))), 65.11/8.91 inference('cnf', [status(esa)], [zf_stmt_1])). 65.11/8.91 thf(zip_derived_cl57, plain, 65.11/8.91 (![X15 : $i, X16 : $i, X17 : $i]: 65.11/8.91 (~ (in @ X15 @ X16) 65.11/8.91 | (in @ X15 @ (dsetconstr @ X17 @ (^[Y0 : $i]: (in @ Y0 @ X16)))) 65.11/8.91 | ~ (in @ X15 @ X17))), 65.11/8.91 inference('cnf', [status(esa)], [zf_stmt_1])). 65.11/8.91 thf(zip_derived_cl628, plain, 65.11/8.91 (![X0 : $i, X1 : $i, X2 : $i]: 65.11/8.91 ( (subset @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (in @ Y0 @ X0)))) 65.11/8.91 | ~ (in @ 65.11/8.91 (sk__32 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (in @ Y0 @ X0))) @ X2) @ 65.11/8.91 X1) 65.11/8.91 | ~ (in @ 65.11/8.91 (sk__32 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (in @ Y0 @ X0))) @ X2) @ 65.11/8.91 X0))), 65.11/8.91 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl57])). 65.11/8.91 thf(zip_derived_cl54, plain, ( (subset @ sk__35 @ sk__34)), 65.11/8.91 inference('cnf', [status(esa)], [zf_stmt_1])). 65.11/8.91 thf(zip_derived_cl41, plain, 65.11/8.91 (![X4 : $i, X5 : $i, X6 : $i]: 65.11/8.91 (~ (subset @ X4 @ X5) | (in @ X6 @ X5) | ~ (in @ X6 @ X4))), 65.11/8.91 inference('cnf', [status(esa)], [zf_stmt_1])). 65.11/8.91 thf(zip_derived_cl351, plain, 65.11/8.91 (![X0 : $i]: (~ (in @ X0 @ sk__35) | (in @ X0 @ sk__34))), 65.11/8.91 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl41])). 65.11/8.91 thf(zip_derived_cl9923, plain, 65.11/8.91 (![X0 : $i, X1 : $i]: 65.11/8.91 (~ (in @ 65.11/8.91 (sk__32 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (in @ Y0 @ sk__34))) @ 65.11/8.91 X0) @ 65.11/8.91 X1) 65.11/8.91 | (subset @ X0 @ 65.11/8.91 (dsetconstr @ X1 @ (^[Y0 : $i]: (in @ Y0 @ sk__34)))) 65.11/8.91 | ~ (in @ 65.11/8.91 (sk__32 @ 65.11/8.91 (dsetconstr @ X1 @ (^[Y0 : $i]: (in @ Y0 @ sk__34))) @ X0) @ 65.11/8.91 sk__35))), 65.11/8.91 inference('sup+', [status(thm)], [zip_derived_cl628, zip_derived_cl351])). 65.11/8.91 thf(zip_derived_cl57, plain, 65.11/8.91 (![X15 : $i, X16 : $i, X17 : $i]: 65.11/8.91 (~ (in @ X15 @ X16) 65.11/8.91 | (in @ X15 @ (dsetconstr @ X17 @ (^[Y0 : $i]: (in @ Y0 @ X16)))) 65.11/8.91 | ~ (in @ X15 @ X17))), 65.11/8.91 inference('cnf', [status(esa)], [zf_stmt_1])). 65.11/8.91 thf(zip_derived_cl10372, plain, 65.11/8.91 (![X16 : $i, X18 : $i]: (('#l_lift8932' @ X16 @ X18) = (in @ X18 @ X16))), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(zip_derived_cl10372, plain, 65.11/8.91 (![X16 : $i, X18 : $i]: (('#l_lift8932' @ X16 @ X18) = (in @ X18 @ X16))), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(zip_derived_cl10372, plain, 65.11/8.91 (![X16 : $i, X18 : $i]: (('#l_lift8932' @ X16 @ X18) = (in @ X18 @ X16))), 65.11/8.91 define([status(thm)])). 65.11/8.91 thf(zip_derived_cl10414, plain, 65.11/8.91 (![X0 : $i, X1 : $i]: 65.11/8.91 (~ (in @ 65.11/8.91 (sk__32 @ (dsetconstr @ X1 @ ('#l_lift8932' @ sk__34)) @ X0) @ X1) 65.11/8.91 | (subset @ X0 @ (dsetconstr @ X1 @ ('#l_lift8932' @ sk__34))) 65.11/8.91 | ~ (in @ 65.11/8.91 (sk__32 @ (dsetconstr @ X1 @ ('#l_lift8932' @ sk__34)) @ X0) @ 65.11/8.91 sk__35))), 65.11/8.91 inference('lambda_lifting', [status(thm)], 65.11/8.91 [zip_derived_cl9923, zip_derived_cl10372, zip_derived_cl10372, 65.11/8.91 zip_derived_cl10372])). 65.11/8.91 thf(zip_derived_cl10428, plain, ($false), 65.11/8.91 inference('eprover', [status(thm)], 65.11/8.91 [zip_derived_cl10373, zip_derived_cl10371, zip_derived_cl73, 65.11/8.91 zip_derived_cl353, zip_derived_cl10414])). 65.11/8.91 65.11/8.91 % SZS output end Refutation 65.11/8.91 65.11/8.91 65.11/8.91 % Terminating... 65.30/9.01 % Runner terminated. 65.30/9.03 % Zipperpin 1.5 exiting 65.30/9.05 EOF