0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DrCODW0umb true 0.13/0.35 % Computer : n019.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 : 1440 0.13/0.35 % WCLimit : 180 0.13/0.35 % DateTime : Mon Jul 3 10:33:05 EDT 2023 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 1440 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 0.13/0.36 % Running in HO mode 0.53/0.67 % Total configuration time : 828 0.53/0.67 % Estimated wc time : 1656 0.53/0.67 % Estimated cpu time (8 cpus) : 207.0 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 237.90/30.78 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 399.04/52.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 471.10/62.04 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s 605.54/80.23 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s 608.95/80.65 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s 609.72/80.77 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s 610.88/80.99 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s 690.68/91.19 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s 699.70/92.31 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s 817.44/107.22 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s 820.69/107.70 % Solved by lams/33_shallow_sine.sh. 820.69/107.70 % done 1006 iterations in 26.935s 820.69/107.70 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 820.69/107.70 % SZS output start Refutation 820.69/107.70 thf(setadjoinAx_type, type, setadjoinAx: $o). 820.69/107.70 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 820.69/107.70 thf(notdexE_type, type, notdexE: $o). 820.69/107.70 thf(setunionAx_type, type, setunionAx: $o). 820.69/107.70 thf(setminusELneg_type, type, setminusELneg: $o). 820.69/107.70 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 820.69/107.70 thf('#l_lift3423_type', type, '#l_lift3423': ($i > $i) > $i > $i > $o). 820.69/107.70 thf(ap2apEq1_type, type, ap2apEq1: $o). 820.69/107.70 thf(ex1E2_type, type, ex1E2: $o). 820.69/107.70 thf(powersetE_type, type, powersetE: $o). 820.69/107.70 thf(omegaSAx_type, type, omegaSAx: $o). 820.69/107.70 thf(exuI1_type, type, exuI1: $o). 820.69/107.70 thf(exuI2_type, type, exuI2: $o). 820.69/107.70 thf(notequalI2_type, type, notequalI2: $o). 820.69/107.70 thf(kpairiskpair_type, type, kpairiskpair: $o). 820.69/107.70 thf(upairsubunion_type, type, upairsubunion: $o). 820.69/107.70 thf(powerset__Cong_type, type, powerset__Cong: $o). 820.69/107.70 thf(setminusILneg_type, type, setminusILneg: $o). 820.69/107.70 thf(ap2p_type, type, ap2p: $o). 820.69/107.70 thf(wellorderingAx_type, type, wellorderingAx: $o). 820.69/107.70 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 820.69/107.70 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 820.69/107.70 thf(upairinpowunion_type, type, upairinpowunion: $o). 820.69/107.70 thf(setoftrueEq_type, type, setoftrueEq: $o). 820.69/107.70 thf(func_type, type, func: $i > $i > $i > $o). 820.69/107.70 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 820.69/107.70 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 820.69/107.70 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 820.69/107.70 thf(dpsetconstrER_type, type, dpsetconstrER: $o). 820.69/107.70 thf(sepInPowerset_type, type, sepInPowerset: $o). 820.69/107.70 thf(setukpairIR_type, type, setukpairIR: $o). 820.69/107.70 thf(lamp_type, type, lamp: $o). 820.69/107.70 thf(kpair_type, type, kpair: $i > $i > $i). 820.69/107.70 thf(binunionE_type, type, binunionE: $o). 820.69/107.70 thf(setext_type, type, setext: $o). 820.69/107.70 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 820.69/107.70 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 820.69/107.70 thf(funcSet_type, type, funcSet: $i > $i > $i). 820.69/107.70 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 820.69/107.70 thf(descr__Cong_type, type, descr__Cong: $o). 820.69/107.70 thf(subbreln_type, type, subbreln: $o). 820.69/107.70 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 820.69/107.70 thf(app_type, type, app: $o). 820.69/107.70 thf(in_type, type, in: $i > $i > $o). 820.69/107.70 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 820.69/107.70 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 820.69/107.70 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 820.69/107.70 thf(brelnall1_type, type, brelnall1: $o). 820.69/107.70 thf(funcGraphProp3_type, type, funcGraphProp3: $o). 820.69/107.70 thf(setadjoinIR_type, type, setadjoinIR: $o). 820.69/107.70 thf(funcGraphProp2_type, type, funcGraphProp2: $o). 820.69/107.70 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 820.69/107.70 thf(funcextLem_type, type, funcextLem: $o). 820.69/107.70 thf(symdiffI2_type, type, symdiffI2: $o). 820.69/107.70 thf(upairset2IR_type, type, upairset2IR: $o). 820.69/107.70 thf(brelnall2_type, type, brelnall2: $o). 820.69/107.70 thf(subsetE_type, type, subsetE: $o). 820.69/107.70 thf(prop2set2propI_type, type, prop2set2propI: $o). 820.69/107.70 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 820.69/107.70 thf(setbeta_type, type, setbeta: $o). 820.69/107.70 thf(eqinunit_type, type, eqinunit: $o). 820.69/107.70 thf(upairsetIL_type, type, upairsetIL: $o). 820.69/107.70 thf(powersetI1_type, type, powersetI1: $o). 820.69/107.70 thf(lamProp_type, type, lamProp: $o). 820.69/107.70 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 820.69/107.70 thf(setukpairinjR_type, type, setukpairinjR: $o). 820.69/107.70 thf(cartprodfstin_type, type, cartprodfstin: $o). 820.69/107.70 thf(setminusIRneg_type, type, setminusIRneg: $o). 820.69/107.70 thf(powersetAx_type, type, powersetAx: $o). 820.69/107.70 thf(singletonprop_type, type, singletonprop: $o). 820.69/107.70 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 820.69/107.70 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 820.69/107.70 thf(powersetI_type, type, powersetI: $o). 820.69/107.70 thf(sk__189_type, type, sk__189: $i > $i). 820.69/107.70 thf(cartprodmempair_type, type, cartprodmempair: $o). 820.69/107.70 thf(upairsetIR_type, type, upairsetIR: $o). 820.69/107.70 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 820.69/107.70 thf(inCongP_type, type, inCongP: $o). 820.69/107.70 thf(setukpairinjL_type, type, setukpairinjL: $o). 820.69/107.70 thf(setadjoinSub_type, type, setadjoinSub: $o). 820.69/107.70 thf(exuE3e_type, type, exuE3e: $o). 820.69/107.70 thf(emptysetE_type, type, emptysetE: $o). 820.69/107.70 thf(sk__190_type, type, sk__190: $i). 820.69/107.70 thf(upairequniteq_type, type, upairequniteq: $o). 820.69/107.70 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 820.69/107.70 thf(setunionI_type, type, setunionI: $o). 820.69/107.70 thf(setunion__Cong_type, type, setunion__Cong: $o). 820.69/107.70 thf(prop2setI_type, type, prop2setI: $o). 820.69/107.70 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 820.69/107.70 thf(funcinfuncset_type, type, funcinfuncset: $o). 820.69/107.70 thf(setminusER_type, type, setminusER: $o). 820.69/107.70 thf(exuE2_type, type, exuE2: $o). 820.69/107.70 thf(powersetsubset_type, type, powersetsubset: $o). 820.69/107.70 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 820.69/107.70 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 820.69/107.70 thf(subPowSU_type, type, subPowSU: $o). 820.69/107.70 thf(sk__193_type, type, sk__193: ($i > $i) > $i > $i > $i). 820.69/107.70 thf(notequalI1_type, type, notequalI1: $o). 820.69/107.70 thf(notinemptyset_type, type, notinemptyset: $o). 820.69/107.70 thf(nonemptyI1_type, type, nonemptyI1: $o). 820.69/107.70 thf(subsetTrans_type, type, subsetTrans: $o). 820.69/107.70 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 820.69/107.70 thf(kpairp_type, type, kpairp: $o). 820.69/107.70 thf(setminusI_type, type, setminusI: $o). 820.69/107.70 thf(binunionIL_type, type, binunionIL: $o). 820.69/107.70 thf(setunionsingleton_type, type, setunionsingleton: $o). 820.69/107.70 thf(subsetE2_type, type, subsetE2: $o). 820.69/107.70 thf(singletonsswitch_type, type, singletonsswitch: $o). 820.69/107.70 thf(kfstpairEq_type, type, kfstpairEq: $o). 820.69/107.70 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 820.69/107.70 thf(setextsub_type, type, setextsub: $o). 820.69/107.70 thf(lam_type, type, lam: $i > $i > ($i > $i) > $i). 820.69/107.70 thf(binunionLsub_type, type, binunionLsub: $o). 820.69/107.70 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 820.69/107.70 thf(emptysetsubset_type, type, emptysetsubset: $o). 820.69/107.70 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 820.69/107.70 thf(setunionE_type, type, setunionE: $o). 820.69/107.70 thf(setminusSubset1_type, type, setminusSubset1: $o). 820.69/107.70 thf(sk__188_type, type, sk__188: $i). 820.69/107.70 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 820.69/107.70 thf(binunionIR_type, type, binunionIR: $o). 820.69/107.70 thf(setadjoinE_type, type, setadjoinE: $o). 820.69/107.70 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 820.69/107.70 thf(singletonsuniq_type, type, singletonsuniq: $o). 820.69/107.70 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o). 820.69/107.70 thf(sk__184_type, type, sk__184: ($i > $i) > $i > $i > $i). 820.69/107.70 thf(setadjoinIL_type, type, setadjoinIL: $o). 820.69/107.70 thf(exuE1_type, type, exuE1: $o). 820.69/107.70 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 820.69/107.70 thf(binintersectRsub_type, type, binintersectRsub: $o). 820.69/107.70 thf(setminusLsub_type, type, setminusLsub: $o). 820.69/107.70 thf(notinsingleton_type, type, notinsingleton: $o). 820.69/107.70 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o). 820.69/107.70 thf(infuncsetfunc_type, type, infuncsetfunc: $o). 820.69/107.70 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 820.69/107.70 thf(exuEu_type, type, exuEu: $o). 820.69/107.70 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 820.69/107.70 thf(ex1I2_type, type, ex1I2: $o). 820.69/107.70 thf(upairsetE_type, type, upairsetE: $o). 820.69/107.70 thf(omega0Ax_type, type, omega0Ax: $o). 820.69/107.70 thf(ap_type, type, ap: $i > $i > $i > $i > $i). 820.69/107.70 thf(notsubsetI_type, type, notsubsetI: $o). 820.69/107.70 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 820.69/107.70 thf(setextAx_type, type, setextAx: $o). 820.69/107.70 thf(powersetE1_type, type, powersetE1: $o). 820.69/107.70 thf(bs114d_type, type, bs114d: $o). 820.69/107.70 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 820.69/107.70 thf(setunion_type, type, setunion: $i > $i). 820.69/107.70 thf(binintersectLsub_type, type, binintersectLsub: $o). 820.69/107.70 thf(subsetI1_type, type, subsetI1: $o). 820.69/107.70 thf(symdiffE_type, type, symdiffE: $o). 820.69/107.70 thf(descrp_type, type, descrp: $o). 820.69/107.70 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 820.69/107.70 thf(foundationAx_type, type, foundationAx: $o). 820.69/107.70 thf(emptysetAx_type, type, emptysetAx: $o). 820.69/107.70 thf(emptyI_type, type, emptyI: $o). 820.69/107.70 thf(setadjoinOr_type, type, setadjoinOr: $o). 820.69/107.70 thf(binintersectEL_type, type, binintersectEL: $o). 820.69/107.70 thf(emptyE1_type, type, emptyE1: $o). 820.69/107.70 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 820.69/107.70 thf(funcImageSingleton_type, type, funcImageSingleton: $o). 820.69/107.70 thf(vacuousDall_type, type, vacuousDall: $o). 820.69/107.70 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 820.69/107.70 thf(dsetconstrER_type, type, dsetconstrER: $o). 820.69/107.70 thf(funcGraphProp1_type, type, funcGraphProp1: $o). 820.69/107.70 thf(lam2p_type, type, lam2p: $o). 820.69/107.70 thf(binintersectI_type, type, binintersectI: $o). 820.69/107.70 thf(cartprodpairin_type, type, cartprodpairin: $o). 820.69/107.70 thf(ex1I_type, type, ex1I: $o). 820.69/107.70 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 820.69/107.70 thf(cartprodsndin_type, type, cartprodsndin: $o). 820.69/107.70 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 820.69/107.70 thf(dpsetconstr_type, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 820.69/107.70 thf(symdiffI1_type, type, symdiffI1: $o). 820.69/107.70 thf(sk__187_type, type, sk__187: $i). 820.69/107.70 thf(subsetI2_type, type, subsetI2: $o). 820.69/107.70 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 820.69/107.70 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 820.69/107.70 thf(theprop_type, type, theprop: $o). 820.69/107.70 thf(setminusERneg_type, type, setminusERneg: $o). 820.69/107.70 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 820.69/107.70 thf(omega__Cong_type, type, omega__Cong: $o). 820.69/107.70 thf(subsetRefl_type, type, subsetRefl: $o). 820.69/107.70 thf(uniqinunit_type, type, uniqinunit: $o). 820.69/107.70 thf(ap2apEq2_type, type, ap2apEq2: $o). 820.69/107.70 thf(funcGraphProp4_type, type, funcGraphProp4: $o). 820.69/107.70 thf(setminusSubset2_type, type, setminusSubset2: $o). 820.69/107.70 thf(prop2setE_type, type, prop2setE: $o). 820.69/107.70 thf(binunionEcases_type, type, binunionEcases: $o). 820.69/107.70 thf(nonemptyI_type, type, nonemptyI: $o). 820.69/107.70 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 820.69/107.70 thf(exuE3u_type, type, exuE3u: $o). 820.69/107.70 thf(setminusEL_type, type, setminusEL: $o). 820.69/107.70 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 820.69/107.70 thf(sepSubset_type, type, sepSubset: $o). 820.69/107.70 thf(upairset2E_type, type, upairset2E: $o). 820.69/107.70 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 820.69/107.70 thf(exuI3_type, type, exuI3: $o). 820.69/107.70 thf(funcext_type, type, funcext: $o). 820.69/107.70 thf(notdallE_type, type, notdallE: $o). 820.69/107.70 thf(binintersectER_type, type, binintersectER: $o). 820.69/107.70 thf(ksndsingleton_type, type, ksndsingleton: $o). 820.69/107.70 thf(kfstsingleton_type, type, kfstsingleton: $o). 820.69/107.70 thf(dsetconstrI_type, type, dsetconstrI: $o). 820.69/107.70 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 820.69/107.70 thf(exu__Cong_type, type, exu__Cong: $o). 820.69/107.70 thf(ksndpairEq_type, type, ksndpairEq: $o). 820.69/107.70 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 820.69/107.70 thf(ex1E1_type, type, ex1E1: $o). 820.69/107.70 thf(secondinupair_type, type, secondinupair: $o). 820.69/107.70 thf(singletonsubset_type, type, singletonsubset: $o). 820.69/107.70 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 820.69/107.70 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 820.69/107.70 thf(eqbreln_type, type, eqbreln: $o). 820.69/107.70 thf(replAx_type, type, replAx: $o). 820.69/107.70 thf(nonemptyE1_type, type, nonemptyE1: $o). 820.69/107.70 thf(omegaIndAx_type, type, omegaIndAx: $o). 820.69/107.70 thf(setukpairIL_type, type, setukpairIL: $o). 820.69/107.70 thf(setunionE2_type, type, setunionE2: $o). 820.69/107.70 thf(inPowerset_type, type, inPowerset: $o). 820.69/107.70 thf(funcext2_type, type, funcext2: $o). 820.69/107.70 thf(cartprod_type, type, cartprod: $i > $i > $i). 820.69/107.70 thf(subset_type, type, subset: $i > $i > $o). 820.69/107.70 thf(apProp_type, type, apProp: $o). 820.69/107.70 thf(in__Cong_type, type, in__Cong: $o). 820.69/107.70 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 820.69/107.70 thf(binunionRsub_type, type, binunionRsub: $o). 820.69/107.70 thf(subset2powerset_type, type, subset2powerset: $o). 820.69/107.70 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 820.69/107.70 thf(ap2apEq2, axiom, ap2apEq2 = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( func @ A @ B @ Xf ) => 820.69/107.70 ( ![Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( ( ap @ A @ B @ Xf @ Xx ) = ( ap @ A @ B @ Xf @ Xx ) ) ) ) ))). 820.69/107.70 thf('0', plain, 820.69/107.70 (( ap2apEq2 ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( func @ X4 @ X6 @ X8 ) => 820.69/107.70 ( ![X10:$i]: 820.69/107.70 ( ( in @ X10 @ X4 ) => 820.69/107.70 ( ( ap @ X4 @ X6 @ X8 @ X10 ) = ( ap @ X4 @ X6 @ X8 @ X10 ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(ap2apEq1, axiom, ap2apEq1 = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( in @ Xf @ ( funcSet @ A @ B ) ) => 820.69/107.70 ( ![Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( ( ap @ A @ B @ Xf @ Xx ) = ( ap @ A @ B @ Xf @ Xx ) ) ) ) ))). 820.69/107.70 thf('1', plain, 820.69/107.70 (( ap2apEq1 ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) => 820.69/107.70 ( ![X10:$i]: 820.69/107.70 ( ( in @ X10 @ X4 ) => 820.69/107.70 ( ( ap @ X4 @ X6 @ X8 @ X10 ) = ( ap @ X4 @ X6 @ X8 @ X10 ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(funcext2, axiom, funcext2 = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( in @ Xf @ ( funcSet @ A @ B ) ) => 820.69/107.70 ( ![Xg:$i]: 820.69/107.70 ( ( in @ Xg @ ( funcSet @ A @ B ) ) => 820.69/107.70 ( ( ![Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( ( ap @ A @ B @ Xf @ Xx ) = ( ap @ A @ B @ Xg @ Xx ) ) ) ) => 820.69/107.70 ( ( Xf ) = ( Xg ) ) ) ) ) ))). 820.69/107.70 thf('2', plain, 820.69/107.70 (( funcext2 ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) => 820.69/107.70 ( ![X10:$i]: 820.69/107.70 ( ( in @ X10 @ ( funcSet @ X4 @ X6 ) ) => 820.69/107.70 ( ( ![X12:$i]: 820.69/107.70 ( ( in @ X12 @ X4 ) => 820.69/107.70 ( ( ap @ X4 @ X6 @ X8 @ X12 ) = 820.69/107.70 ( ap @ X4 @ X6 @ X10 @ X12 ) ) ) ) => 820.69/107.70 ( ( X8 ) = ( X10 ) ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(funcext, axiom, funcext = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( func @ A @ B @ Xf ) => 820.69/107.70 ( ![Xg:$i]: 820.69/107.70 ( ( func @ A @ B @ Xg ) => 820.69/107.70 ( ( ![Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( ( ap @ A @ B @ Xf @ Xx ) = ( ap @ A @ B @ Xg @ Xx ) ) ) ) => 820.69/107.70 ( ( Xf ) = ( Xg ) ) ) ) ) ))). 820.69/107.70 thf('3', plain, 820.69/107.70 (( funcext ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( func @ X4 @ X6 @ X8 ) => 820.69/107.70 ( ![X10:$i]: 820.69/107.70 ( ( func @ X4 @ X6 @ X10 ) => 820.69/107.70 ( ( ![X12:$i]: 820.69/107.70 ( ( in @ X12 @ X4 ) => 820.69/107.70 ( ( ap @ X4 @ X6 @ X8 @ X12 ) = 820.69/107.70 ( ap @ X4 @ X6 @ X10 @ X12 ) ) ) ) => 820.69/107.70 ( ( X8 ) = ( X10 ) ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(funcGraphProp4, axiom, funcGraphProp4 = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( in @ Xf @ ( funcSet @ A @ B ) ) => 820.69/107.70 ( ![Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( ![Xy:$i]: 820.69/107.70 ( ( in @ Xy @ B ) => 820.69/107.70 ( ( in @ ( kpair @ Xx @ Xy ) @ Xf ) => 820.69/107.70 ( ( ap @ A @ B @ Xf @ Xx ) = ( Xy ) ) ) ) ) ) ) ))). 820.69/107.70 thf('4', plain, 820.69/107.70 (( funcGraphProp4 ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) => 820.69/107.70 ( ![X10:$i]: 820.69/107.70 ( ( in @ X10 @ X4 ) => 820.69/107.70 ( ![X12:$i]: 820.69/107.70 ( ( in @ X12 @ X6 ) => 820.69/107.70 ( ( in @ ( kpair @ X10 @ X12 ) @ X8 ) => 820.69/107.70 ( ( ap @ X4 @ X6 @ X8 @ X10 ) = ( X12 ) ) ) ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(funcextLem, axiom, funcextLem = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( func @ A @ B @ Xf ) => 820.69/107.70 ( ![Xg:$i]: 820.69/107.70 ( ( func @ A @ B @ Xg ) => 820.69/107.70 ( ( ![Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( ( ap @ A @ B @ Xf @ Xx ) = ( ap @ A @ B @ Xg @ Xx ) ) ) ) => 820.69/107.70 ( ![Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( ![Xy:$i]: 820.69/107.70 ( ( in @ Xy @ B ) => 820.69/107.70 ( ( in @ ( kpair @ Xx @ Xy ) @ Xg ) => 820.69/107.70 ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) ) ) ) ) ) ) ) ))). 820.69/107.70 thf('5', plain, 820.69/107.70 (( funcextLem ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( func @ X4 @ X6 @ X8 ) => 820.69/107.70 ( ![X10:$i]: 820.69/107.70 ( ( func @ X4 @ X6 @ X10 ) => 820.69/107.70 ( ( ![X12:$i]: 820.69/107.70 ( ( in @ X12 @ X4 ) => 820.69/107.70 ( ( ap @ X4 @ X6 @ X8 @ X12 ) = 820.69/107.70 ( ap @ X4 @ X6 @ X10 @ X12 ) ) ) ) => 820.69/107.70 ( ![X14:$i]: 820.69/107.70 ( ( in @ X14 @ X4 ) => 820.69/107.70 ( ![X16:$i]: 820.69/107.70 ( ( in @ X16 @ X6 ) => 820.69/107.70 ( ( in @ ( kpair @ X14 @ X16 ) @ X10 ) => 820.69/107.70 ( in @ ( kpair @ X14 @ X16 ) @ X8 ) ) ) ) ) ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(funcGraphProp2, axiom, funcGraphProp2 = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( func @ A @ B @ Xf ) => 820.69/107.70 ( ![Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( ![Xy:$i]: 820.69/107.70 ( ( in @ Xy @ B ) => 820.69/107.70 ( ( in @ ( kpair @ Xx @ Xy ) @ Xf ) => 820.69/107.70 ( ( ap @ A @ B @ Xf @ Xx ) = ( Xy ) ) ) ) ) ) ) ))). 820.69/107.70 thf('6', plain, 820.69/107.70 (( funcGraphProp2 ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( func @ X4 @ X6 @ X8 ) => 820.69/107.70 ( ![X10:$i]: 820.69/107.70 ( ( in @ X10 @ X4 ) => 820.69/107.70 ( ![X12:$i]: 820.69/107.70 ( ( in @ X12 @ X6 ) => 820.69/107.70 ( ( in @ ( kpair @ X10 @ X12 ) @ X8 ) => 820.69/107.70 ( ( ap @ X4 @ X6 @ X8 @ X10 ) = ( X12 ) ) ) ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(funcGraphProp3, axiom, funcGraphProp3 = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( in @ Xf @ ( funcSet @ A @ B ) ) => 820.69/107.70 ( ![Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( in @ ( kpair @ Xx @ ( ap @ A @ B @ Xf @ Xx ) ) @ Xf ) ) ) ))). 820.69/107.70 thf('7', plain, 820.69/107.70 (( funcGraphProp3 ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) => 820.69/107.70 ( ![X10:$i]: 820.69/107.70 ( ( in @ X10 @ X4 ) => 820.69/107.70 ( in @ ( kpair @ X10 @ ( ap @ X4 @ X6 @ X8 @ X10 ) ) @ X8 ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(funcGraphProp1, axiom, funcGraphProp1 = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( func @ A @ B @ Xf ) => 820.69/107.70 ( ![Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( in @ ( kpair @ Xx @ ( ap @ A @ B @ Xf @ Xx ) ) @ Xf ) ) ) ))). 820.69/107.70 thf('8', plain, 820.69/107.70 (( funcGraphProp1 ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( func @ X4 @ X6 @ X8 ) => 820.69/107.70 ( ![X10:$i]: 820.69/107.70 ( ( in @ X10 @ X4 ) => 820.69/107.70 ( in @ ( kpair @ X10 @ ( ap @ X4 @ X6 @ X8 @ X10 ) ) @ X8 ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(lam2p, axiom, lam2p = 820.69/107.70 (![A:$i,B:$i,Xf:( $i > $i )]: 820.69/107.70 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( Xf @ Xx ) @ B ) ) ) => 820.69/107.70 ( in @ ( lam @ A @ B @ ( ^[Xx:$i]: ( Xf @ Xx ) ) ) @ ( funcSet @ A @ B ) ) ))). 820.69/107.70 thf('9', plain, 820.69/107.70 (( lam2p ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:( $i > $i )]: 820.69/107.70 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 820.69/107.70 ( in @ 820.69/107.70 ( lam @ X4 @ X6 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) @ 820.69/107.70 ( funcSet @ X4 @ X6 ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(lamp, axiom, lamp = 820.69/107.70 (![A:$i,B:$i,Xf:( $i > $i )]: 820.69/107.70 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( Xf @ Xx ) @ B ) ) ) => 820.69/107.70 ( func @ A @ B @ ( lam @ A @ B @ ( ^[Xx:$i]: ( Xf @ Xx ) ) ) ) ))). 820.69/107.70 thf('10', plain, 820.69/107.70 (( lamp ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:( $i > $i )]: 820.69/107.70 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 820.69/107.70 ( func @ X4 @ X6 @ ( lam @ X4 @ X6 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(lam, axiom,(( lam ) = 820.69/107.70 (^[A:$i,B:$i,Xf:( $i > $i )]: 820.69/107.70 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) )))). 820.69/107.70 thf('11', plain, 820.69/107.70 (( lam ) = 820.69/107.70 ( ^[A:$i,B:$i,Xf:( $i > $i )]: 820.69/107.70 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) ) )), 820.69/107.70 inference('simplify_rw_rule', [status(thm)], [lam])). 820.69/107.70 thf('12', plain, 820.69/107.70 (( lam ) = 820.69/107.70 ( ^[V_1:$i,V_2:$i,V_3:( $i > $i )]: 820.69/107.70 ( dpsetconstr @ 820.69/107.70 V_1 @ V_2 @ ( ^[V_4:$i,V_5:$i]: ( ( V_3 @ V_4 ) = ( V_5 ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(lamProp, axiom, lamProp = 820.69/107.70 (![A:$i,B:$i,Xf:( $i > $i )]: 820.69/107.70 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( Xf @ Xx ) @ B ) ) ) => 820.69/107.70 ( func @ 820.69/107.70 A @ B @ 820.69/107.70 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) ) ) ))). 820.69/107.70 thf('13', plain, 820.69/107.70 (( lamProp ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:( $i > $i )]: 820.69/107.70 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 820.69/107.70 ( func @ 820.69/107.70 X4 @ X6 @ 820.69/107.70 ( dpsetconstr @ 820.69/107.70 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( ( X8 @ V_1 ) = ( V_2 ) ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(funcinfuncset, axiom, funcinfuncset = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( func @ A @ B @ Xf ) => ( in @ Xf @ ( funcSet @ A @ B ) ) ))). 820.69/107.70 thf('14', plain, 820.69/107.70 (( funcinfuncset ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( func @ X4 @ X6 @ X8 ) => ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(ap2p, axiom, ap2p = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( in @ Xf @ ( funcSet @ A @ B ) ) => 820.69/107.70 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ))). 820.69/107.70 thf('15', plain, 820.69/107.70 (( ap2p ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) => 820.69/107.70 ( ![X10:$i]: 820.69/107.70 ( ( in @ X10 @ X4 ) => ( in @ ( ap @ X4 @ X6 @ X8 @ X10 ) @ X6 ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(infuncsetfunc, axiom, infuncsetfunc = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( in @ Xf @ ( funcSet @ A @ B ) ) => ( func @ A @ B @ Xf ) ))). 820.69/107.70 thf('16', plain, 820.69/107.70 (( infuncsetfunc ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) => ( func @ X4 @ X6 @ X8 ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(app, axiom, app = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( func @ A @ B @ Xf ) => 820.69/107.70 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ))). 820.69/107.70 thf('17', plain, 820.69/107.70 (( app ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( func @ X4 @ X6 @ X8 ) => 820.69/107.70 ( ![X10:$i]: 820.69/107.70 ( ( in @ X10 @ X4 ) => ( in @ ( ap @ X4 @ X6 @ X8 @ X10 ) @ X6 ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(apProp, axiom, apProp = 820.69/107.70 (![A:$i,B:$i,Xf:$i]: 820.69/107.70 ( ( func @ A @ B @ Xf ) => 820.69/107.70 ( ![Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( in @ 820.69/107.70 ( setunion @ 820.69/107.70 ( dsetconstr @ 820.69/107.70 B @ ( ^[Xy:$i]: ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) ) ) @ 820.69/107.70 B ) ) ) ))). 820.69/107.70 thf('18', plain, 820.69/107.70 (( apProp ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( func @ X4 @ X6 @ X8 ) => 820.69/107.70 ( ![X10:$i]: 820.69/107.70 ( ( in @ X10 @ X4 ) => 820.69/107.70 ( in @ 820.69/107.70 ( setunion @ 820.69/107.70 ( dsetconstr @ 820.69/107.70 X6 @ ( ^[V_1:$i]: ( in @ ( kpair @ X10 @ V_1 ) @ X8 ) ) ) ) @ 820.69/107.70 X6 ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(dpsetconstrER, axiom, dpsetconstrER = 820.69/107.70 (![A:$i,B:$i,Xphi:( $i > $i > $o ),Xx:$i,Xy:$i]: 820.69/107.70 ( ( in @ 820.69/107.70 ( kpair @ Xx @ Xy ) @ 820.69/107.70 ( dpsetconstr @ A @ B @ ( ^[Xz:$i,Xu:$i]: ( Xphi @ Xz @ Xu ) ) ) ) => 820.69/107.70 ( Xphi @ Xx @ Xy ) ))). 820.69/107.70 thf('19', plain, 820.69/107.70 (( dpsetconstrER ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:( $i > $i > $o ),X10:$i,X12:$i]: 820.69/107.70 ( ( in @ 820.69/107.70 ( kpair @ X10 @ X12 ) @ 820.69/107.70 ( dpsetconstr @ X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) ) => 820.69/107.70 ( X8 @ X10 @ X12 ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(dpsetconstrEL2, axiom, dpsetconstrEL2 = 820.69/107.70 (![A:$i,B:$i,Xphi:( $i > $i > $o ),Xx:$i,Xy:$i]: 820.69/107.70 ( ( in @ 820.69/107.70 ( kpair @ Xx @ Xy ) @ 820.69/107.70 ( dpsetconstr @ A @ B @ ( ^[Xz:$i,Xu:$i]: ( Xphi @ Xz @ Xu ) ) ) ) => 820.69/107.70 ( in @ Xy @ B ) ))). 820.69/107.70 thf('20', plain, 820.69/107.70 (( dpsetconstrEL2 ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:( $i > $i > $o ),X10:$i,X12:$i]: 820.69/107.70 ( ( in @ 820.69/107.70 ( kpair @ X10 @ X12 ) @ 820.69/107.70 ( dpsetconstr @ X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) ) => 820.69/107.70 ( in @ X12 @ X6 ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(dpsetconstrEL1, axiom, dpsetconstrEL1 = 820.69/107.70 (![A:$i,B:$i,Xphi:( $i > $i > $o ),Xx:$i,Xy:$i]: 820.69/107.70 ( ( in @ 820.69/107.70 ( kpair @ Xx @ Xy ) @ 820.69/107.70 ( dpsetconstr @ A @ B @ ( ^[Xz:$i,Xu:$i]: ( Xphi @ Xz @ Xu ) ) ) ) => 820.69/107.70 ( in @ Xx @ A ) ))). 820.69/107.70 thf('21', plain, 820.69/107.70 (( dpsetconstrEL1 ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:( $i > $i > $o ),X10:$i,X12:$i]: 820.69/107.70 ( ( in @ 820.69/107.70 ( kpair @ X10 @ X12 ) @ 820.69/107.70 ( dpsetconstr @ X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) ) => 820.69/107.70 ( in @ X10 @ X4 ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(dpsetconstrERa, axiom, dpsetconstrERa = 820.69/107.70 (![A:$i,B:$i,Xphi:( $i > $i > $o ),Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( ![Xy:$i]: 820.69/107.70 ( ( in @ Xy @ B ) => 820.69/107.70 ( ( in @ 820.69/107.70 ( kpair @ Xx @ Xy ) @ 820.69/107.70 ( dpsetconstr @ A @ B @ ( ^[Xz:$i,Xu:$i]: ( Xphi @ Xz @ Xu ) ) ) ) => 820.69/107.70 ( Xphi @ Xx @ Xy ) ) ) ) ))). 820.69/107.70 thf('22', plain, 820.69/107.70 (( dpsetconstrERa ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:( $i > $i > $o ),X10:$i]: 820.69/107.70 ( ( in @ X10 @ X4 ) => 820.69/107.70 ( ![X12:$i]: 820.69/107.70 ( ( in @ X12 @ X6 ) => 820.69/107.70 ( ( in @ 820.69/107.70 ( kpair @ X10 @ X12 ) @ 820.69/107.70 ( dpsetconstr @ 820.69/107.70 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) ) => 820.69/107.70 ( X8 @ X10 @ X12 ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(dpsetconstrSub, axiom, dpsetconstrSub = 820.69/107.70 (![A:$i,B:$i,Xphi:( $i > $i > $o )]: 820.69/107.70 ( subset @ 820.69/107.70 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) @ 820.69/107.70 ( cartprod @ A @ B ) ))). 820.69/107.70 thf('23', plain, 820.69/107.70 (( dpsetconstrSub ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:( $i > $i > $o )]: 820.69/107.70 ( subset @ 820.69/107.70 ( dpsetconstr @ X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) @ 820.69/107.70 ( cartprod @ X4 @ X6 ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(dpsetconstrI, axiom, dpsetconstrI = 820.69/107.70 (![A:$i,B:$i,Xphi:( $i > $i > $o ),Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( ![Xy:$i]: 820.69/107.70 ( ( in @ Xy @ B ) => 820.69/107.70 ( ( Xphi @ Xx @ Xy ) => 820.69/107.70 ( in @ 820.69/107.70 ( kpair @ Xx @ Xy ) @ 820.69/107.70 ( dpsetconstr @ A @ B @ ( ^[Xz:$i,Xu:$i]: ( Xphi @ Xz @ Xu ) ) ) ) ) ) ) ))). 820.69/107.70 thf('24', plain, 820.69/107.70 (( dpsetconstrI ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:( $i > $i > $o ),X10:$i]: 820.69/107.70 ( ( in @ X10 @ X4 ) => 820.69/107.70 ( ![X12:$i]: 820.69/107.70 ( ( in @ X12 @ X6 ) => 820.69/107.70 ( ( X8 @ X10 @ X12 ) => 820.69/107.70 ( in @ 820.69/107.70 ( kpair @ X10 @ X12 ) @ 820.69/107.70 ( dpsetconstr @ 820.69/107.70 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(cartprodmempaircEq, axiom, cartprodmempaircEq = 820.69/107.70 (![A:$i,B:$i,Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => 820.69/107.70 ( ![Xy:$i]: 820.69/107.70 ( ( in @ Xy @ B ) => ( ( kpair @ Xx @ Xy ) = ( kpair @ Xx @ Xy ) ) ) ) ))). 820.69/107.70 thf('25', plain, 820.69/107.70 (( cartprodmempaircEq ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( in @ X8 @ X4 ) => 820.69/107.70 ( ![X10:$i]: 820.69/107.70 ( ( in @ X10 @ X6 ) => 820.69/107.70 ( ( kpair @ X8 @ X10 ) = ( kpair @ X8 @ X10 ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(setukpairinjR, axiom, setukpairinjR = 820.69/107.70 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 820.69/107.70 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xy ) = ( Xu ) ) ))). 820.69/107.70 thf('26', plain, 820.69/107.70 (( setukpairinjR ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 820.69/107.70 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 820.69/107.70 ( ( X6 ) = ( X10 ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(setukpairinjL, axiom, setukpairinjL = 820.69/107.70 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 820.69/107.70 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xx ) = ( Xz ) ) ))). 820.69/107.70 thf('27', plain, 820.69/107.70 (( setukpairinjL ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 820.69/107.70 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 820.69/107.70 ( ( X4 ) = ( X8 ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(notequalI2, axiom, notequalI2 = 820.69/107.70 (![A:$i,B:$i,Xx:$i]: 820.69/107.70 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))). 820.69/107.70 thf('28', plain, 820.69/107.70 (( notequalI2 ) = 820.69/107.70 ( ![X4:$i,X6:$i,X8:$i]: 820.69/107.70 ( ( in @ X8 @ X4 ) => 820.69/107.70 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(in__Cong, axiom, in__Cong = 820.69/107.70 (![A:$i,B:$i]: 820.69/107.70 ( ( ( A ) = ( B ) ) => 820.69/107.70 ( ![Xx:$i,Xy:$i]: 820.69/107.70 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))). 820.69/107.70 thf('29', plain, 820.69/107.70 (( in__Cong ) = 820.69/107.70 ( ![X4:$i,X6:$i]: 820.69/107.70 ( ( ( X4 ) = ( X6 ) ) => 820.69/107.70 ( ![X8:$i,X10:$i]: 820.69/107.70 ( ( ( X8 ) = ( X10 ) ) => 820.69/107.70 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(inCongP, axiom, inCongP = 820.69/107.70 (![A:$i,B:$i]: 820.69/107.70 ( ( ( A ) = ( B ) ) => 820.69/107.70 ( ![Xx:$i,Xy:$i]: 820.69/107.70 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))). 820.69/107.70 thf('30', plain, 820.69/107.70 (( inCongP ) = 820.69/107.70 ( ![X4:$i,X6:$i]: 820.69/107.70 ( ( ( X4 ) = ( X6 ) ) => 820.69/107.70 ( ![X8:$i,X10:$i]: 820.69/107.70 ( ( ( X8 ) = ( X10 ) ) => 820.69/107.70 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(notdallE, axiom, notdallE = 820.69/107.70 (![A:$i,Xphi:( $i > $o )]: 820.69/107.70 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 820.69/107.70 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 820.69/107.70 thf('31', plain, 820.69/107.70 (( notdallE ) = 820.69/107.70 ( ![X4:$i,X6:( $i > $o )]: 820.69/107.70 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 820.69/107.70 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(notdexE, axiom, notdexE = 820.69/107.70 (![A:$i,Xphi:( $i > $o )]: 820.69/107.70 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 820.69/107.70 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 820.69/107.70 thf('32', plain, 820.69/107.70 (( notdexE ) = 820.69/107.70 ( ![X4:$i,X6:( $i > $o )]: 820.69/107.70 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 820.69/107.70 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(quantDeMorgan4, axiom, quantDeMorgan4 = 820.69/107.70 (![A:$i,Xphi:( $i > $o )]: 820.69/107.70 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) => 820.69/107.70 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))). 820.69/107.70 thf('33', plain, 820.69/107.70 (( quantDeMorgan4 ) = 820.69/107.70 ( ![X4:$i,X6:( $i > $o )]: 820.69/107.70 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) => 820.69/107.70 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(quantDeMorgan3, axiom, quantDeMorgan3 = 820.69/107.70 (![A:$i,Xphi:( $i > $o )]: 820.69/107.70 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 820.69/107.70 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 820.69/107.70 thf('34', plain, 820.69/107.70 (( quantDeMorgan3 ) = 820.69/107.70 ( ![X4:$i,X6:( $i > $o )]: 820.69/107.70 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 820.69/107.70 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(quantDeMorgan2, axiom, quantDeMorgan2 = 820.69/107.70 (![A:$i,Xphi:( $i > $o )]: 820.69/107.70 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) => 820.69/107.70 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))). 820.69/107.70 thf('35', plain, 820.69/107.70 (( quantDeMorgan2 ) = 820.69/107.70 ( ![X4:$i,X6:( $i > $o )]: 820.69/107.70 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) => 820.69/107.70 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(quantDeMorgan1, axiom, quantDeMorgan1 = 820.69/107.70 (![A:$i,Xphi:( $i > $o )]: 820.69/107.70 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 820.69/107.70 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 820.69/107.70 thf('36', plain, 820.69/107.70 (( quantDeMorgan1 ) = 820.69/107.70 ( ![X4:$i,X6:( $i > $o )]: 820.69/107.70 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 820.69/107.70 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(setext, axiom, setext = 820.69/107.70 (![A:$i,B:$i]: 820.69/107.70 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 820.69/107.70 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 820.69/107.70 ( ( A ) = ( B ) ) ) ))). 820.69/107.70 thf('37', plain, 820.69/107.70 (( setext ) = 820.69/107.70 ( ![X4:$i,X6:$i]: 820.69/107.70 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 820.69/107.70 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) => 820.69/107.70 ( ( X4 ) = ( X6 ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(wellorderingAx, axiom, wellorderingAx = 820.69/107.70 (![A:$i]: 820.69/107.70 ( ?[B:$i]: 820.69/107.70 ( ( ![C:$i]: 820.69/107.70 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) & 820.69/107.70 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) => 820.69/107.70 ( ?[D:$i,Xx:$i]: 820.69/107.70 ( ( ![E:$i]: 820.69/107.70 ( ( in @ E @ B ) => 820.69/107.70 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) | 820.69/107.70 ( in @ Xx @ E ) ) ) ) & 820.69/107.70 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) & 820.69/107.70 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) & 820.69/107.70 ( ![C:$i,D:$i]: 820.69/107.70 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) => 820.69/107.70 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) | 820.69/107.70 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) & 820.69/107.70 ( ![Xx:$i,Xy:$i]: 820.69/107.70 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) => 820.69/107.70 ( ( ![C:$i]: 820.69/107.70 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) => 820.69/107.70 ( ( Xx ) = ( Xy ) ) ) ) ) & 820.69/107.70 ( ![C:$i]: 820.69/107.70 ( ( in @ C @ B ) => 820.69/107.70 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))). 820.69/107.70 thf('38', plain, 820.69/107.70 (( wellorderingAx ) = 820.69/107.70 ( ![X4:$i]: 820.69/107.70 ( ?[X6:$i]: 820.69/107.70 ( ( ![X8:$i]: 820.69/107.70 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) & 820.69/107.70 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) => 820.69/107.70 ( ?[X14:$i,X16:$i]: 820.69/107.70 ( ( ![X18:$i]: 820.69/107.70 ( ( in @ X18 @ X6 ) => 820.69/107.70 ( ( ![X20:$i]: 820.69/107.70 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) | 820.69/107.70 ( in @ X16 @ X18 ) ) ) ) & 820.69/107.70 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) & 820.69/107.70 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) & 820.69/107.70 ( ![X24:$i,X26:$i]: 820.69/107.70 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) => 820.69/107.70 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) | 820.69/107.70 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) & 820.69/107.70 ( ![X32:$i,X34:$i]: 820.69/107.70 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) => 820.69/107.70 ( ( ![X36:$i]: 820.69/107.70 ( ( in @ X36 @ X6 ) => 820.69/107.70 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) => 820.69/107.70 ( ( X32 ) = ( X34 ) ) ) ) ) & 820.69/107.70 ( ![X38:$i]: 820.69/107.70 ( ( in @ X38 @ X6 ) => 820.69/107.70 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(foundationAx, axiom, foundationAx = 820.69/107.70 (![A:$i]: 820.69/107.70 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => 820.69/107.70 ( ?[B:$i]: 820.69/107.70 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) & 820.69/107.70 ( in @ B @ A ) ) ) ))). 820.69/107.70 thf('39', plain, 820.69/107.70 (( foundationAx ) = 820.69/107.70 ( ![X4:$i]: 820.69/107.70 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => 820.69/107.70 ( ?[X8:$i]: 820.69/107.70 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) & 820.69/107.70 ( in @ X8 @ X4 ) ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(setextAx, axiom, setextAx = 820.69/107.70 (![A:$i,B:$i]: 820.69/107.70 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) => 820.69/107.70 ( ( A ) = ( B ) ) ))). 820.69/107.70 thf('40', plain, 820.69/107.70 (( setextAx ) = 820.69/107.70 ( ![X4:$i,X6:$i]: 820.69/107.70 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 820.69/107.70 ( ( X4 ) = ( X6 ) ) ) )), 820.69/107.70 define([status(thm)])). 820.69/107.70 thf(beta1, conjecture, 820.69/107.70 (( setextAx ) => 820.69/107.70 ( ( emptysetAx ) => 820.69/107.70 ( ( setadjoinAx ) => 820.69/107.70 ( ( powersetAx ) => 820.69/107.70 ( ( setunionAx ) => 820.69/107.70 ( ( omega0Ax ) => 820.69/107.70 ( ( omegaSAx ) => 820.69/107.70 ( ( omegaIndAx ) => 820.69/107.70 ( ( replAx ) => 820.69/107.70 ( ( foundationAx ) => 820.69/107.70 ( ( wellorderingAx ) => 820.69/107.70 ( ( descrp ) => 820.69/107.70 ( ( dsetconstrI ) => 820.69/107.70 ( ( dsetconstrEL ) => 820.69/107.70 ( ( dsetconstrER ) => 820.69/107.70 ( ( exuE1 ) => 820.69/107.70 ( ( prop2setE ) => 820.69/107.70 ( ( emptysetE ) => 820.69/107.70 ( ( emptysetimpfalse ) => 820.69/107.70 ( ( notinemptyset ) => 820.69/107.70 ( ( exuE3e ) => 820.69/107.70 ( ( setext ) => 820.69/107.70 ( ( emptyI ) => 820.69/107.70 ( ( noeltsimpempty ) => 820.69/107.70 ( ( setbeta ) => 820.69/107.70 ( ( nonemptyE1 ) => 820.69/107.70 ( ( nonemptyI ) => 820.69/107.70 ( ( nonemptyI1 ) => 820.69/107.70 ( ( setadjoinIL ) => 820.69/107.70 ( ( emptyinunitempty ) => 820.69/107.70 ( ( setadjoinIR ) => 820.69/107.70 ( ( setadjoinE ) => 820.69/107.70 ( ( 820.69/107.70 setadjoinOr ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setoftrueEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powersetI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptyinPowerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptyInPowerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powersetE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subPowSU ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuE2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 nonemptyImpWitness ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 uniqinunit ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 notinsingleton ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 eqinunit ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 singletonsswitch ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairsetE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairsetIL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairsetIR ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptyE1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 vacuousDall ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 quantDeMorgan1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 quantDeMorgan2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 quantDeMorgan3 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 quantDeMorgan4 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 prop2setI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 prop2set2propI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 notdexE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 notdallE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuI3 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuI2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 inCongP ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuE3u ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exu__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptyset__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setadjoin__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powerset__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunion__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 omega__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuEu ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 descr__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 dsetconstr__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 eqimpsubset2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 eqimpsubset1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetI2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptysetsubset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetE2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 notsubsetI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 notequalI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 notequalI2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetRefl ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetTrans ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setadjoinSub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setadjoinSub2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subset2powerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setextsub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetemptysetimpeq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powersetI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powersetE1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 inPowerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powersetsubset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 sepInPowerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 sepSubset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binunionIL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairset2IR ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binunionIR ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binunionEcases ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binunionE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binunionLsub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binunionRsub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectSubset5 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectEL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectLsub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectSubset2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectSubset3 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectER ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 disjointsetsI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectRsub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectSubset4 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectSubset1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 bs114d ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusEL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusER ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusSubset2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusERneg ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusELneg ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusILneg ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusIRneg ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusLsub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusSubset1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 symdiffE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 symdiffI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 symdiffI2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 symdiffIneg1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 symdiffIneg2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 secondinupair ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairIL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairIR ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 kpairiskpair ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 kpairp ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 singletonsubset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 singletoninpowerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 singletoninpowunion ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairset2E ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairsubunion ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairinpowunion ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ubforcartprodlem1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ubforcartprodlem2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ubforcartprodlem3 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodpairin ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodmempair1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodmempair ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionE2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionsingleton1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionsingleton2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionsingleton ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 singletonprop ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ex1E1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ex1I ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ex1I2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 singletonsuniq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjL1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 kfstsingleton ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 theprop ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 kfstpairEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodfstin ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjL2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjR11 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjR12 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjR1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairequniteq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjR2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjR ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ksndsingleton ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ksndpairEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 kpairsurjEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodsndin ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodpairmemEL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodpairmemER ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodmempaircEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodfstpairEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodsndpairEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodpairsurjEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 dpsetconstrI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 dpsetconstrSub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setOfPairsIsBReln ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 dpsetconstrERa ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 dpsetconstrEL1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 dpsetconstrEL2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 dpsetconstrER ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 funcImageSingleton ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 apProp ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 app ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 infuncsetfunc ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ap2p ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 funcinfuncset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 lamProp ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 lamp ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 lam2p ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 brelnall1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 brelnall2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ex1E2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 funcGraphProp1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 funcGraphProp3 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 funcGraphProp2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 funcextLem ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 funcGraphProp4 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subbreln ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 eqbreln ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 funcext ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 funcext2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ap2apEq1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ap2apEq2 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 A:$i,B:$i, 820.69/107.70 Xf:( 820.69/107.70 $i > $i )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 Xx:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 Xx @ A ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 Xf @ Xx ) @ 820.69/107.70 B ) ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 Xx:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 Xx @ A ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 A @ B @ 820.69/107.70 ( 820.69/107.70 lam @ 820.69/107.70 A @ B @ 820.69/107.70 ( 820.69/107.70 ^[ 820.69/107.70 Xy:$i]: 820.69/107.70 ( 820.69/107.70 Xf @ Xy ) ) ) @ 820.69/107.70 Xx ) = 820.69/107.70 ( 820.69/107.70 Xf @ Xx ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 820.69/107.70 thf(zf_stmt_0, conjecture, 820.69/107.70 (( ![X4:$i,X6:$i]: 820.69/107.70 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 820.69/107.70 ( ( X4 ) = ( X6 ) ) ) ) => 820.69/107.70 ( ( emptysetAx ) => 820.69/107.70 ( ( setadjoinAx ) => 820.69/107.70 ( ( powersetAx ) => 820.69/107.70 ( ( setunionAx ) => 820.69/107.70 ( ( omega0Ax ) => 820.69/107.70 ( ( omegaSAx ) => 820.69/107.70 ( ( omegaIndAx ) => 820.69/107.70 ( ( replAx ) => 820.69/107.70 ( ( ![X10:$i]: 820.69/107.70 ( ( ?[X12:$i]: ( in @ X12 @ X10 ) ) => 820.69/107.70 ( ?[X14:$i]: 820.69/107.70 ( ( ~( ?[X16:$i]: 820.69/107.70 ( ( in @ X16 @ X10 ) & ( in @ X16 @ X14 ) ) ) ) & 820.69/107.70 ( in @ X14 @ X10 ) ) ) ) ) => 820.69/107.70 ( ( ![X18:$i]: 820.69/107.70 ( ?[X20:$i]: 820.69/107.70 ( ( ![X22:$i]: 820.69/107.70 ( ( ( ![X24:$i]: 820.69/107.70 ( ( in @ X24 @ X22 ) => 820.69/107.70 ( in @ X24 @ X18 ) ) ) & 820.69/107.70 ( ?[X26:$i]: ( in @ X26 @ X22 ) ) ) => 820.69/107.70 ( ?[X28:$i,X30:$i]: 820.69/107.70 ( ( ![X32:$i]: 820.69/107.70 ( ( in @ X32 @ X20 ) => 820.69/107.70 ( ( ![X34:$i]: 820.69/107.70 ( ( in @ X34 @ X32 ) => 820.69/107.70 ( in @ X34 @ X28 ) ) ) | 820.69/107.70 ( in @ X30 @ X32 ) ) ) ) & 820.69/107.70 ( ~( ?[X36:$i]: 820.69/107.70 ( ( in @ X36 @ X22 ) & 820.69/107.70 ( in @ X36 @ X28 ) ) ) ) & 820.69/107.70 ( in @ X30 @ X22 ) & ( in @ X28 @ X20 ) ) ) ) ) & 820.69/107.70 ( ![X38:$i,X40:$i]: 820.69/107.70 ( ( ( in @ X38 @ X20 ) & ( in @ X40 @ X20 ) ) => 820.69/107.70 ( ( ![X42:$i]: 820.69/107.70 ( ( in @ X42 @ X38 ) => 820.69/107.70 ( in @ X42 @ X40 ) ) ) | 820.69/107.70 ( ![X44:$i]: 820.69/107.70 ( ( in @ X44 @ X40 ) => 820.69/107.70 ( in @ X44 @ X38 ) ) ) ) ) ) & 820.69/107.70 ( ![X46:$i,X48:$i]: 820.69/107.70 ( ( ( in @ X46 @ X18 ) & ( in @ X48 @ X18 ) ) => 820.69/107.70 ( ( ![X50:$i]: 820.69/107.70 ( ( in @ X50 @ X20 ) => 820.69/107.70 ( ( in @ X46 @ X50 ) <=> 820.69/107.70 ( in @ X48 @ X50 ) ) ) ) => 820.69/107.70 ( ( X46 ) = ( X48 ) ) ) ) ) & 820.69/107.70 ( ![X52:$i]: 820.69/107.70 ( ( in @ X52 @ X20 ) => 820.69/107.70 ( ![X54:$i]: 820.69/107.70 ( ( in @ X54 @ X52 ) => ( in @ X54 @ X18 ) ) ) ) ) ) ) ) => 820.69/107.70 ( ( descrp ) => 820.69/107.70 ( ( dsetconstrI ) => 820.69/107.70 ( ( dsetconstrEL ) => 820.69/107.70 ( ( dsetconstrER ) => 820.69/107.70 ( ( exuE1 ) => 820.69/107.70 ( ( prop2setE ) => 820.69/107.70 ( ( emptysetE ) => 820.69/107.70 ( ( emptysetimpfalse ) => 820.69/107.70 ( ( notinemptyset ) => 820.69/107.70 ( ( exuE3e ) => 820.69/107.70 ( ( ![X56:$i,X58:$i]: 820.69/107.70 ( ( ![X60:$i]: 820.69/107.70 ( ( in @ X60 @ X56 ) => 820.69/107.70 ( in @ X60 @ X58 ) ) ) => 820.69/107.70 ( ( ![X62:$i]: 820.69/107.70 ( ( in @ X62 @ X58 ) => 820.69/107.70 ( in @ X62 @ X56 ) ) ) => 820.69/107.70 ( ( X56 ) = ( X58 ) ) ) ) ) => 820.69/107.70 ( ( emptyI ) => 820.69/107.70 ( ( noeltsimpempty ) => 820.69/107.70 ( ( setbeta ) => 820.69/107.70 ( ( nonemptyE1 ) => 820.69/107.70 ( ( nonemptyI ) => 820.69/107.70 ( ( nonemptyI1 ) => 820.69/107.70 ( ( setadjoinIL ) => 820.69/107.70 ( ( emptyinunitempty ) => 820.69/107.70 ( ( setadjoinIR ) => 820.69/107.70 ( ( setadjoinE ) => 820.69/107.70 ( ( 820.69/107.70 setadjoinOr ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setoftrueEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powersetI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptyinPowerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptyInPowerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powersetE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subPowSU ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuE2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 nonemptyImpWitness ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 uniqinunit ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 notinsingleton ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 eqinunit ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 singletonsswitch ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairsetE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairsetIL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairsetIR ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptyE1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 vacuousDall ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X64:$i, 820.69/107.70 X66:( 820.69/107.70 $i > $o )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~( 820.69/107.70 ![ 820.69/107.70 X68:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X68 @ X64 ) => 820.69/107.70 ( 820.69/107.70 X66 @ X68 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ?[ 820.69/107.70 X70:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~( 820.69/107.70 X66 @ X70 ) ) & 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X70 @ X64 ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X72:$i, 820.69/107.70 X74:( 820.69/107.70 $i > $o )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X76:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X76 @ X72 ) => 820.69/107.70 ( 820.69/107.70 ~( 820.69/107.70 X74 @ X76 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ~( 820.69/107.70 ?[ 820.69/107.70 X78:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X74 @ X78 ) & 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X78 @ X72 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X80:$i, 820.69/107.70 X82:( 820.69/107.70 $i > $o )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~( 820.69/107.70 ?[ 820.69/107.70 X84:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X82 @ X84 ) & 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X84 @ X80 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X86:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X86 @ X80 ) => 820.69/107.70 ( 820.69/107.70 ~( 820.69/107.70 X82 @ X86 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X88:$i, 820.69/107.70 X90:( 820.69/107.70 $i > $o )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ?[ 820.69/107.70 X92:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~( 820.69/107.70 X90 @ X92 ) ) & 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X92 @ X88 ) ) ) => 820.69/107.70 ( 820.69/107.70 ~( 820.69/107.70 ![ 820.69/107.70 X94:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X94 @ X88 ) => 820.69/107.70 ( 820.69/107.70 X90 @ X94 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 prop2setI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 prop2set2propI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X96:$i, 820.69/107.70 X98:( 820.69/107.70 $i > $o )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~( 820.69/107.70 ?[ 820.69/107.70 X100:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X98 @ 820.69/107.70 X100 ) & 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X100 @ 820.69/107.70 X96 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X102:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X102 @ X96 ) => 820.69/107.70 ( 820.69/107.70 ~( 820.69/107.70 X98 @ 820.69/107.70 X102 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X104:$i, 820.69/107.70 X106:( 820.69/107.70 $i > $o )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~( 820.69/107.70 ![ 820.69/107.70 X108:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X108 @ 820.69/107.70 X104 ) => 820.69/107.70 ( 820.69/107.70 X106 @ 820.69/107.70 X108 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ?[ 820.69/107.70 X110:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~( 820.69/107.70 X106 @ 820.69/107.70 X110 ) ) & 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X110 @ 820.69/107.70 X104 ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuI3 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuI2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X112:$i, 820.69/107.70 X114:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X112 ) = 820.69/107.70 ( 820.69/107.70 X114 ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X116:$i, 820.69/107.70 X118:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X116 ) = 820.69/107.70 ( 820.69/107.70 X118 ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X116 @ 820.69/107.70 X112 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X118 @ 820.69/107.70 X114 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X120:$i, 820.69/107.70 X122:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X120 ) = 820.69/107.70 ( 820.69/107.70 X122 ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X124:$i, 820.69/107.70 X126:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X124 ) = 820.69/107.70 ( 820.69/107.70 X126 ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X124 @ 820.69/107.70 X120 ) <=> 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X126 @ 820.69/107.70 X122 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuE3u ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exu__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptyset__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setadjoin__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powerset__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunion__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 omega__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuEu ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 descr__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 dsetconstr__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 eqimpsubset2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 eqimpsubset1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetI2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptysetsubset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetE2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 notsubsetI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 notequalI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X128:$i, 820.69/107.70 X130:$i, 820.69/107.70 X132:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X132 @ 820.69/107.70 X128 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~( 820.69/107.70 in @ 820.69/107.70 X132 @ 820.69/107.70 X130 ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X128 ) != 820.69/107.70 ( 820.69/107.70 X130 ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetRefl ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetTrans ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setadjoinSub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setadjoinSub2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subset2powerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setextsub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetemptysetimpeq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powersetI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powersetE1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 inPowerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powersetsubset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 sepInPowerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 sepSubset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binunionIL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairset2IR ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binunionIR ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binunionEcases ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binunionE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binunionLsub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binunionRsub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectSubset5 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectEL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectLsub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectSubset2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectSubset3 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectER ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 disjointsetsI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectRsub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectSubset4 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 binintersectSubset1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 bs114d ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusEL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusER ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusSubset2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusERneg ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusELneg ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusILneg ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusIRneg ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusLsub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setminusSubset1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 symdiffE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 symdiffI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 symdiffI2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 symdiffIneg1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 symdiffIneg2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 secondinupair ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairIL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairIR ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 kpairiskpair ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 kpairp ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 singletonsubset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 singletoninpowerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 singletoninpowunion ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairset2E ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairsubunion ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairinpowunion ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ubforcartprodlem1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ubforcartprodlem2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ubforcartprodlem3 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodpairin ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodmempair1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodmempair ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionE2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionsingleton1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionsingleton2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionsingleton ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 singletonprop ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ex1E1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ex1I ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ex1I2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 singletonsuniq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjL1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 kfstsingleton ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 theprop ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 kfstpairEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodfstin ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjL2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X134:$i, 820.69/107.70 X136:$i, 820.69/107.70 X138:$i, 820.69/107.70 X140:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X134 @ 820.69/107.70 X136 ) = 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X138 @ 820.69/107.70 X140 ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X134 ) = 820.69/107.70 ( 820.69/107.70 X138 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjR11 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjR12 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjR1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairequniteq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setukpairinjR2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X142:$i, 820.69/107.70 X144:$i, 820.69/107.70 X146:$i, 820.69/107.70 X148:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X142 @ 820.69/107.70 X144 ) = 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X146 @ 820.69/107.70 X148 ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X144 ) = 820.69/107.70 ( 820.69/107.70 X148 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ksndsingleton ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ksndpairEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 kpairsurjEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodsndin ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodpairmemEL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodpairmemER ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X150:$i, 820.69/107.70 X152:$i, 820.69/107.70 X154:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X154 @ 820.69/107.70 X150 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X156:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X156 @ 820.69/107.70 X152 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X154 @ 820.69/107.70 X156 ) = 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X154 @ 820.69/107.70 X156 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodfstpairEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodsndpairEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 cartprodpairsurjEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X158:$i, 820.69/107.70 X160:$i, 820.69/107.70 X162:( 820.69/107.70 $i > $i > 820.69/107.70 $o ), 820.69/107.70 X164:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X164 @ 820.69/107.70 X158 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X166:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X166 @ 820.69/107.70 X160 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X162 @ 820.69/107.70 X164 @ 820.69/107.70 X166 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X164 @ 820.69/107.70 X166 ) @ 820.69/107.70 ( 820.69/107.70 dpsetconstr 820.69/107.70 @ 820.69/107.70 X158 @ 820.69/107.70 X160 @ 820.69/107.70 ( 820.69/107.70 ^[ 820.69/107.70 V_1:$i, 820.69/107.70 V_2:$i]: 820.69/107.70 ( 820.69/107.70 X162 @ 820.69/107.70 V_1 @ V_2 ) ) ) ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X168:$i, 820.69/107.70 X170:$i, 820.69/107.70 X172:( 820.69/107.70 $i > $i > 820.69/107.70 $o )]: 820.69/107.70 ( 820.69/107.70 subset @ 820.69/107.70 ( 820.69/107.70 dpsetconstr 820.69/107.70 @ 820.69/107.70 X168 @ 820.69/107.70 X170 @ 820.69/107.70 ( 820.69/107.70 ^[ 820.69/107.70 V_3:$i, 820.69/107.70 V_4:$i]: 820.69/107.70 ( 820.69/107.70 X172 @ 820.69/107.70 V_3 @ V_4 ) ) ) @ 820.69/107.70 ( 820.69/107.70 cartprod @ 820.69/107.70 X168 @ 820.69/107.70 X170 ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setOfPairsIsBReln ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X174:$i, 820.69/107.70 X176:$i, 820.69/107.70 X178:( 820.69/107.70 $i > $i > 820.69/107.70 $o ), 820.69/107.70 X180:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X180 @ 820.69/107.70 X174 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X182:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X182 @ 820.69/107.70 X176 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X180 @ 820.69/107.70 X182 ) @ 820.69/107.70 ( 820.69/107.70 dpsetconstr 820.69/107.70 @ 820.69/107.70 X174 @ 820.69/107.70 X176 @ 820.69/107.70 ( 820.69/107.70 ^[ 820.69/107.70 V_5:$i, 820.69/107.70 V_6:$i]: 820.69/107.70 ( 820.69/107.70 X178 @ 820.69/107.70 V_5 @ V_6 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 X178 @ 820.69/107.70 X180 @ 820.69/107.70 X182 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X184:$i, 820.69/107.70 X186:$i, 820.69/107.70 X188:( 820.69/107.70 $i > $i > 820.69/107.70 $o ), 820.69/107.70 X190:$i, 820.69/107.70 X192:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X190 @ 820.69/107.70 X192 ) @ 820.69/107.70 ( 820.69/107.70 dpsetconstr 820.69/107.70 @ 820.69/107.70 X184 @ 820.69/107.70 X186 @ 820.69/107.70 ( 820.69/107.70 ^[ 820.69/107.70 V_7:$i, 820.69/107.70 V_8:$i]: 820.69/107.70 ( 820.69/107.70 X188 @ 820.69/107.70 V_7 @ V_8 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X190 @ 820.69/107.70 X184 ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X194:$i, 820.69/107.70 X196:$i, 820.69/107.70 X198:( 820.69/107.70 $i > $i > 820.69/107.70 $o ), 820.69/107.70 X200:$i, 820.69/107.70 X202:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X200 @ 820.69/107.70 X202 ) @ 820.69/107.70 ( 820.69/107.70 dpsetconstr 820.69/107.70 @ 820.69/107.70 X194 @ 820.69/107.70 X196 @ 820.69/107.70 ( 820.69/107.70 ^[ 820.69/107.70 V_9:$i, 820.69/107.70 V_10:$i]: 820.69/107.70 ( 820.69/107.70 X198 @ 820.69/107.70 V_9 @ V_10 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X202 @ 820.69/107.70 X196 ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X204:$i, 820.69/107.70 X206:$i, 820.69/107.70 X208:( 820.69/107.70 $i > $i > 820.69/107.70 $o ), 820.69/107.70 X210:$i, 820.69/107.70 X212:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X210 @ 820.69/107.70 X212 ) @ 820.69/107.70 ( 820.69/107.70 dpsetconstr 820.69/107.70 @ 820.69/107.70 X204 @ 820.69/107.70 X206 @ 820.69/107.70 ( 820.69/107.70 ^[ 820.69/107.70 V_11:$i, 820.69/107.70 V_12:$i]: 820.69/107.70 ( 820.69/107.70 X208 @ 820.69/107.70 V_11 @ 820.69/107.70 V_12 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 X208 @ 820.69/107.70 X210 @ 820.69/107.70 X212 ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 funcImageSingleton ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X214:$i, 820.69/107.70 X216:$i, 820.69/107.70 X218:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 func @ 820.69/107.70 X214 @ 820.69/107.70 X216 @ 820.69/107.70 X218 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X220:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X220 @ 820.69/107.70 X214 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 setunion @ 820.69/107.70 ( 820.69/107.70 dsetconstr 820.69/107.70 @ 820.69/107.70 X216 @ 820.69/107.70 ( 820.69/107.70 ^[ 820.69/107.70 V_13:$i]: 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X220 @ 820.69/107.70 V_13 ) @ 820.69/107.70 X218 ) ) ) ) @ 820.69/107.70 X216 ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X222:$i, 820.69/107.70 X224:$i, 820.69/107.70 X226:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 func @ 820.69/107.70 X222 @ 820.69/107.70 X224 @ 820.69/107.70 X226 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X228:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X228 @ 820.69/107.70 X222 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X222 @ 820.69/107.70 X224 @ 820.69/107.70 X226 @ 820.69/107.70 X228 ) @ 820.69/107.70 X224 ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X230:$i, 820.69/107.70 X232:$i, 820.69/107.70 X234:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X234 @ 820.69/107.70 ( 820.69/107.70 funcSet @ 820.69/107.70 X230 @ 820.69/107.70 X232 ) ) => 820.69/107.70 ( 820.69/107.70 func @ 820.69/107.70 X230 @ 820.69/107.70 X232 @ 820.69/107.70 X234 ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X236:$i, 820.69/107.70 X238:$i, 820.69/107.70 X240:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X240 @ 820.69/107.70 ( 820.69/107.70 funcSet @ 820.69/107.70 X236 @ 820.69/107.70 X238 ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X242:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X242 @ 820.69/107.70 X236 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X236 @ 820.69/107.70 X238 @ 820.69/107.70 X240 @ 820.69/107.70 X242 ) @ 820.69/107.70 X238 ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X244:$i, 820.69/107.70 X246:$i, 820.69/107.70 X248:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 func @ 820.69/107.70 X244 @ 820.69/107.70 X246 @ 820.69/107.70 X248 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X248 @ 820.69/107.70 ( 820.69/107.70 funcSet @ 820.69/107.70 X244 @ 820.69/107.70 X246 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X250:$i, 820.69/107.70 X252:$i, 820.69/107.70 X254:( 820.69/107.70 $i > $i )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X256:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X256 @ 820.69/107.70 X250 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 X254 @ 820.69/107.70 X256 ) @ 820.69/107.70 X252 ) ) ) => 820.69/107.70 ( 820.69/107.70 func @ 820.69/107.70 X250 @ 820.69/107.70 X252 @ 820.69/107.70 ( 820.69/107.70 dpsetconstr 820.69/107.70 @ 820.69/107.70 X250 @ 820.69/107.70 X252 @ 820.69/107.70 ( 820.69/107.70 ^[ 820.69/107.70 V_14:$i, 820.69/107.70 V_15:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X254 @ 820.69/107.70 V_14 ) = 820.69/107.70 ( 820.69/107.70 V_15 ) ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X258:$i, 820.69/107.70 X260:$i, 820.69/107.70 X262:( 820.69/107.70 $i > $i )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X264:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X264 @ 820.69/107.70 X258 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 X262 @ 820.69/107.70 X264 ) @ 820.69/107.70 X260 ) ) ) => 820.69/107.70 ( 820.69/107.70 func @ 820.69/107.70 X258 @ 820.69/107.70 X260 @ 820.69/107.70 ( 820.69/107.70 dpsetconstr 820.69/107.70 @ 820.69/107.70 X258 @ 820.69/107.70 X260 @ 820.69/107.70 ( 820.69/107.70 ^[ 820.69/107.70 V_16:$i, 820.69/107.70 V_17:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X262 @ 820.69/107.70 V_16 ) = 820.69/107.70 ( 820.69/107.70 V_17 ) ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X266:$i, 820.69/107.70 X268:$i, 820.69/107.70 X270:( 820.69/107.70 $i > $i )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X272:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X272 @ 820.69/107.70 X266 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 X270 @ 820.69/107.70 X272 ) @ 820.69/107.70 X268 ) ) ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 dpsetconstr 820.69/107.70 @ 820.69/107.70 X266 @ 820.69/107.70 X268 @ 820.69/107.70 ( 820.69/107.70 ^[ 820.69/107.70 V_18:$i, 820.69/107.70 V_19:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X270 @ 820.69/107.70 V_18 ) = 820.69/107.70 ( 820.69/107.70 V_19 ) ) ) ) @ 820.69/107.70 ( 820.69/107.70 funcSet @ 820.69/107.70 X266 @ 820.69/107.70 X268 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 brelnall1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 brelnall2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ex1E2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X274:$i, 820.69/107.70 X276:$i, 820.69/107.70 X278:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 func @ 820.69/107.70 X274 @ 820.69/107.70 X276 @ 820.69/107.70 X278 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X280:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X280 @ 820.69/107.70 X274 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X280 @ 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X274 @ 820.69/107.70 X276 @ 820.69/107.70 X278 @ 820.69/107.70 X280 ) ) @ 820.69/107.70 X278 ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X282:$i, 820.69/107.70 X284:$i, 820.69/107.70 X286:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X286 @ 820.69/107.70 ( 820.69/107.70 funcSet @ 820.69/107.70 X282 @ 820.69/107.70 X284 ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X288:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X288 @ 820.69/107.70 X282 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X288 @ 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X282 @ 820.69/107.70 X284 @ 820.69/107.70 X286 @ 820.69/107.70 X288 ) ) @ 820.69/107.70 X286 ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X290:$i, 820.69/107.70 X292:$i, 820.69/107.70 X294:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 func @ 820.69/107.70 X290 @ 820.69/107.70 X292 @ 820.69/107.70 X294 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X296:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X296 @ 820.69/107.70 X290 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X298:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X298 @ 820.69/107.70 X292 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X296 @ 820.69/107.70 X298 ) @ 820.69/107.70 X294 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X290 @ 820.69/107.70 X292 @ 820.69/107.70 X294 @ 820.69/107.70 X296 ) = 820.69/107.70 ( 820.69/107.70 X298 ) ) ) ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X300:$i, 820.69/107.70 X302:$i, 820.69/107.70 X304:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 func @ 820.69/107.70 X300 @ 820.69/107.70 X302 @ 820.69/107.70 X304 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X306:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 func @ 820.69/107.70 X300 @ 820.69/107.70 X302 @ 820.69/107.70 X306 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X308:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X308 @ 820.69/107.70 X300 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X300 @ 820.69/107.70 X302 @ 820.69/107.70 X304 @ 820.69/107.70 X308 ) = 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X300 @ 820.69/107.70 X302 @ 820.69/107.70 X306 @ 820.69/107.70 X308 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X310:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X310 @ 820.69/107.70 X300 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X312:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X312 @ 820.69/107.70 X302 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X310 @ 820.69/107.70 X312 ) @ 820.69/107.70 X306 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X310 @ 820.69/107.70 X312 ) @ 820.69/107.70 X304 ) ) ) ) ) ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X314:$i, 820.69/107.70 X316:$i, 820.69/107.70 X318:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X318 @ 820.69/107.70 ( 820.69/107.70 funcSet @ 820.69/107.70 X314 @ 820.69/107.70 X316 ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X320:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X320 @ 820.69/107.70 X314 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X322:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X322 @ 820.69/107.70 X316 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 kpair @ 820.69/107.70 X320 @ 820.69/107.70 X322 ) @ 820.69/107.70 X318 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X314 @ 820.69/107.70 X316 @ 820.69/107.70 X318 @ 820.69/107.70 X320 ) = 820.69/107.70 ( 820.69/107.70 X322 ) ) ) ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subbreln ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 eqbreln ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X324:$i, 820.69/107.70 X326:$i, 820.69/107.70 X328:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 func @ 820.69/107.70 X324 @ 820.69/107.70 X326 @ 820.69/107.70 X328 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X330:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 func @ 820.69/107.70 X324 @ 820.69/107.70 X326 @ 820.69/107.70 X330 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X332:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X332 @ 820.69/107.70 X324 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X324 @ 820.69/107.70 X326 @ 820.69/107.70 X328 @ 820.69/107.70 X332 ) = 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X324 @ 820.69/107.70 X326 @ 820.69/107.70 X330 @ 820.69/107.70 X332 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X328 ) = 820.69/107.70 ( 820.69/107.70 X330 ) ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X334:$i, 820.69/107.70 X336:$i, 820.69/107.70 X338:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X338 @ 820.69/107.70 ( 820.69/107.70 funcSet @ 820.69/107.70 X334 @ 820.69/107.70 X336 ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X340:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X340 @ 820.69/107.70 ( 820.69/107.70 funcSet @ 820.69/107.70 X334 @ 820.69/107.70 X336 ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X342:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X342 @ 820.69/107.70 X334 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X334 @ 820.69/107.70 X336 @ 820.69/107.70 X338 @ 820.69/107.70 X342 ) = 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X334 @ 820.69/107.70 X336 @ 820.69/107.70 X340 @ 820.69/107.70 X342 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X338 ) = 820.69/107.70 ( 820.69/107.70 X340 ) ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X344:$i, 820.69/107.70 X346:$i, 820.69/107.70 X348:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X348 @ 820.69/107.70 ( 820.69/107.70 funcSet @ 820.69/107.70 X344 @ 820.69/107.70 X346 ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X350:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X350 @ 820.69/107.70 X344 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X344 @ 820.69/107.70 X346 @ 820.69/107.70 X348 @ 820.69/107.70 X350 ) = 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X344 @ 820.69/107.70 X346 @ 820.69/107.70 X348 @ 820.69/107.70 X350 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X352:$i, 820.69/107.70 X354:$i, 820.69/107.70 X356:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 func @ 820.69/107.70 X352 @ 820.69/107.70 X354 @ 820.69/107.70 X356 ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X358:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X358 @ 820.69/107.70 X352 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X352 @ 820.69/107.70 X354 @ 820.69/107.70 X356 @ 820.69/107.70 X358 ) = 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X352 @ 820.69/107.70 X354 @ 820.69/107.70 X356 @ 820.69/107.70 X358 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X360:$i, 820.69/107.70 X362:$i, 820.69/107.70 X364:( 820.69/107.70 $i > $i )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X366:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X366 @ 820.69/107.70 X360 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 ( 820.69/107.70 X364 @ 820.69/107.70 X366 ) @ 820.69/107.70 X362 ) ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X368:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X368 @ 820.69/107.70 X360 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ap @ 820.69/107.70 X360 @ 820.69/107.70 X362 @ 820.69/107.70 ( 820.69/107.70 dpsetconstr 820.69/107.70 @ 820.69/107.70 X360 @ 820.69/107.70 X362 @ 820.69/107.70 ( 820.69/107.70 ^[ 820.69/107.70 V_20:$i, 820.69/107.70 V_21:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X364 @ 820.69/107.70 V_20 ) = 820.69/107.70 ( 820.69/107.70 V_21 ) ) ) ) @ 820.69/107.70 X368 ) = 820.69/107.70 ( 820.69/107.70 X364 @ 820.69/107.70 X368 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 820.69/107.70 thf(zf_stmt_1, negated_conjecture, 820.69/107.70 (~( ( ![X4:$i,X6:$i]: 820.69/107.70 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 820.69/107.70 ( ( X4 ) = ( X6 ) ) ) ) => 820.69/107.70 ( ( emptysetAx ) => 820.69/107.70 ( ( setadjoinAx ) => 820.69/107.70 ( ( powersetAx ) => 820.69/107.70 ( ( setunionAx ) => 820.69/107.70 ( ( omega0Ax ) => 820.69/107.70 ( ( omegaSAx ) => 820.69/107.70 ( ( omegaIndAx ) => 820.69/107.70 ( ( replAx ) => 820.69/107.70 ( ( ![X10:$i]: 820.69/107.70 ( ( ?[X12:$i]: ( in @ X12 @ X10 ) ) => 820.69/107.70 ( ?[X14:$i]: 820.69/107.70 ( ( ~( ?[X16:$i]: 820.69/107.70 ( ( in @ X16 @ X10 ) & 820.69/107.70 ( in @ X16 @ X14 ) ) ) ) & 820.69/107.70 ( in @ X14 @ X10 ) ) ) ) ) => 820.69/107.70 ( ( ![X18:$i]: 820.69/107.70 ( ?[X20:$i]: 820.69/107.70 ( ( ![X22:$i]: 820.69/107.70 ( ( ( ![X24:$i]: 820.69/107.70 ( ( in @ X24 @ X22 ) => 820.69/107.70 ( in @ X24 @ X18 ) ) ) & 820.69/107.70 ( ?[X26:$i]: ( in @ X26 @ X22 ) ) ) => 820.69/107.70 ( ?[X28:$i,X30:$i]: 820.69/107.70 ( ( ![X32:$i]: 820.69/107.70 ( ( in @ X32 @ X20 ) => 820.69/107.70 ( ( ![X34:$i]: 820.69/107.70 ( ( in @ X34 @ X32 ) => 820.69/107.70 ( in @ X34 @ X28 ) ) ) | 820.69/107.70 ( in @ X30 @ X32 ) ) ) ) & 820.69/107.70 ( ~( ?[X36:$i]: 820.69/107.70 ( ( in @ X36 @ X22 ) & 820.69/107.70 ( in @ X36 @ X28 ) ) ) ) & 820.69/107.70 ( in @ X30 @ X22 ) & 820.69/107.70 ( in @ X28 @ X20 ) ) ) ) ) & 820.69/107.70 ( ![X38:$i,X40:$i]: 820.69/107.70 ( ( ( in @ X38 @ X20 ) & ( in @ X40 @ X20 ) ) => 820.69/107.70 ( ( ![X42:$i]: 820.69/107.70 ( ( in @ X42 @ X38 ) => 820.69/107.70 ( in @ X42 @ X40 ) ) ) | 820.69/107.70 ( ![X44:$i]: 820.69/107.70 ( ( in @ X44 @ X40 ) => 820.69/107.70 ( in @ X44 @ X38 ) ) ) ) ) ) & 820.69/107.70 ( ![X46:$i,X48:$i]: 820.69/107.70 ( ( ( in @ X46 @ X18 ) & ( in @ X48 @ X18 ) ) => 820.69/107.70 ( ( ![X50:$i]: 820.69/107.70 ( ( in @ X50 @ X20 ) => 820.69/107.70 ( ( in @ X46 @ X50 ) <=> 820.69/107.70 ( in @ X48 @ X50 ) ) ) ) => 820.69/107.70 ( ( X46 ) = ( X48 ) ) ) ) ) & 820.69/107.70 ( ![X52:$i]: 820.69/107.70 ( ( in @ X52 @ X20 ) => 820.69/107.70 ( ![X54:$i]: 820.69/107.70 ( ( in @ X54 @ X52 ) => 820.69/107.70 ( in @ X54 @ X18 ) ) ) ) ) ) ) ) => 820.69/107.70 ( ( descrp ) => 820.69/107.70 ( ( dsetconstrI ) => 820.69/107.70 ( ( dsetconstrEL ) => 820.69/107.70 ( ( dsetconstrER ) => 820.69/107.70 ( ( exuE1 ) => 820.69/107.70 ( ( prop2setE ) => 820.69/107.70 ( ( emptysetE ) => 820.69/107.70 ( ( emptysetimpfalse ) => 820.69/107.70 ( ( notinemptyset ) => 820.69/107.70 ( ( exuE3e ) => 820.69/107.70 ( ( ![X56:$i,X58:$i]: 820.69/107.70 ( ( ![X60:$i]: 820.69/107.70 ( ( in @ X60 @ X56 ) => 820.69/107.70 ( in @ X60 @ X58 ) ) ) => 820.69/107.70 ( ( ![X62:$i]: 820.69/107.70 ( ( in @ X62 @ X58 ) => 820.69/107.70 ( in @ X62 @ X56 ) ) ) => 820.69/107.70 ( ( X56 ) = ( X58 ) ) ) ) ) => 820.69/107.70 ( ( emptyI ) => 820.69/107.70 ( ( noeltsimpempty ) => 820.69/107.70 ( ( setbeta ) => 820.69/107.70 ( ( nonemptyE1 ) => 820.69/107.70 ( ( nonemptyI ) => 820.69/107.70 ( ( nonemptyI1 ) => 820.69/107.70 ( ( setadjoinIL ) => 820.69/107.70 ( ( emptyinunitempty ) => 820.69/107.70 ( ( setadjoinIR ) => 820.69/107.70 ( ( 820.69/107.70 setadjoinE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setadjoinOr ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setoftrueEq ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powersetI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptyinPowerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptyInPowerset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powersetE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunionE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subPowSU ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuE2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 nonemptyImpWitness ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 uniqinunit ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 notinsingleton ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 eqinunit ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 singletonsswitch ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairsetE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairsetIL ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 upairsetIR ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptyE1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 vacuousDall ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X64:$i, 820.69/107.70 X66:( 820.69/107.70 $i > $o )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~ 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X68:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X68 @ X64 ) => 820.69/107.70 ( 820.69/107.70 X66 @ X68 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ?[ 820.69/107.70 X70:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~ 820.69/107.70 ( 820.69/107.70 X66 @ X70 ) ) & 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X70 @ X64 ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X72:$i, 820.69/107.70 X74:( 820.69/107.70 $i > $o )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X76:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X76 @ X72 ) => 820.69/107.70 ( 820.69/107.70 ~ 820.69/107.70 ( 820.69/107.70 X74 @ X76 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ~ 820.69/107.70 ( 820.69/107.70 ?[ 820.69/107.70 X78:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X74 @ X78 ) & 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X78 @ X72 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X80:$i, 820.69/107.70 X82:( 820.69/107.70 $i > $o )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~ 820.69/107.70 ( 820.69/107.70 ?[ 820.69/107.70 X84:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X82 @ X84 ) & 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X84 @ X80 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X86:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X86 @ X80 ) => 820.69/107.70 ( 820.69/107.70 ~ 820.69/107.70 ( 820.69/107.70 X82 @ X86 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X88:$i, 820.69/107.70 X90:( 820.69/107.70 $i > $o )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ?[ 820.69/107.70 X92:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~ 820.69/107.70 ( 820.69/107.70 X90 @ X92 ) ) & 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X92 @ X88 ) ) ) => 820.69/107.70 ( 820.69/107.70 ~ 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X94:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X94 @ X88 ) => 820.69/107.70 ( 820.69/107.70 X90 @ X94 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 prop2setI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 prop2set2propI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X96:$i, 820.69/107.70 X98:( 820.69/107.70 $i > $o )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~ 820.69/107.70 ( 820.69/107.70 ?[ 820.69/107.70 X100:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X98 @ 820.69/107.70 X100 ) & 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X100 @ 820.69/107.70 X96 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X102:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X102 @ 820.69/107.70 X96 ) => 820.69/107.70 ( 820.69/107.70 ~ 820.69/107.70 ( 820.69/107.70 X98 @ 820.69/107.70 X102 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X104:$i, 820.69/107.70 X106:( 820.69/107.70 $i > $o )]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~ 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X108:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X108 @ 820.69/107.70 X104 ) => 820.69/107.70 ( 820.69/107.70 X106 @ 820.69/107.70 X108 ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ?[ 820.69/107.70 X110:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~ 820.69/107.70 ( 820.69/107.70 X106 @ 820.69/107.70 X110 ) ) & 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X110 @ 820.69/107.70 X104 ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuI3 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuI2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X112:$i, 820.69/107.70 X114:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X112 ) = 820.69/107.70 ( 820.69/107.70 X114 ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X116:$i, 820.69/107.70 X118:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X116 ) = 820.69/107.70 ( 820.69/107.70 X118 ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X116 @ 820.69/107.70 X112 ) => 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X118 @ 820.69/107.70 X114 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X120:$i, 820.69/107.70 X122:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X120 ) = 820.69/107.70 ( 820.69/107.70 X122 ) ) => 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X124:$i, 820.69/107.70 X126:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X124 ) = 820.69/107.70 ( 820.69/107.70 X126 ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X124 @ 820.69/107.70 X120 ) <=> 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X126 @ 820.69/107.70 X122 ) ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuE3u ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exu__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptyset__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setadjoin__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 powerset__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setunion__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 omega__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 exuEu ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 descr__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 dsetconstr__Cong ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 eqimpsubset2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 eqimpsubset1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetI2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 emptysetsubset ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetE ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetE2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 notsubsetI ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 notequalI1 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ![ 820.69/107.70 X128:$i, 820.69/107.70 X130:$i, 820.69/107.70 X132:$i]: 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X132 @ 820.69/107.70 X128 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 ~ 820.69/107.70 ( 820.69/107.70 in @ 820.69/107.70 X132 @ 820.69/107.70 X130 ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 X128 ) != 820.69/107.70 ( 820.69/107.70 X130 ) ) ) ) ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetRefl ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subsetTrans ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setadjoinSub ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 setadjoinSub2 ) => 820.69/107.70 ( 820.69/107.70 ( 820.69/107.70 subset2powerset ) => 820.69/107.70 ( 820.69/107.71 ( 820.69/107.71 setextsub ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 subsetemptysetimpeq ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 powersetI1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 powersetE1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 inPowerset ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 powersetsubset ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 sepInPowerset ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 sepSubset ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binunionIL ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 upairset2IR ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binunionIR ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binunionEcases ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binunionE ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binunionLsub ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binunionRsub ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binintersectI ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binintersectSubset5 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binintersectEL ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binintersectLsub ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binintersectSubset2 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binintersectSubset3 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binintersectER ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 disjointsetsI1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binintersectRsub ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binintersectSubset4 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 binintersectSubset1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 bs114d ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setminusI ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setminusEL ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setminusER ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setminusSubset2 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setminusERneg ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setminusELneg ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setminusILneg ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setminusIRneg ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setminusLsub ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setminusSubset1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 symdiffE ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 symdiffI1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 symdiffI2 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 symdiffIneg1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 symdiffIneg2 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 secondinupair ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setukpairIL ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setukpairIR ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 kpairiskpair ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 kpairp ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 singletonsubset ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 singletoninpowerset ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 singletoninpowunion ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 upairset2E ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 upairsubunion ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 upairinpowunion ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ubforcartprodlem1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ubforcartprodlem2 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ubforcartprodlem3 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 cartprodpairin ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 cartprodmempair1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 cartprodmempair ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setunionE2 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setunionsingleton1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setunionsingleton2 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setunionsingleton ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 singletonprop ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ex1E1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ex1I ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ex1I2 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 singletonsuniq ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setukpairinjL1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 kfstsingleton ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 theprop ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 kfstpairEq ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 cartprodfstin ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setukpairinjL2 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X134:$i, 820.69/107.71 X136:$i, 820.69/107.71 X138:$i, 820.69/107.71 X140:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X134 @ 820.69/107.71 X136 ) = 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X138 @ 820.69/107.71 X140 ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 X134 ) = 820.69/107.71 ( 820.69/107.71 X138 ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setukpairinjR11 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setukpairinjR12 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setukpairinjR1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 upairequniteq ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setukpairinjR2 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X142:$i, 820.69/107.71 X144:$i, 820.69/107.71 X146:$i, 820.69/107.71 X148:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X142 @ 820.69/107.71 X144 ) = 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X146 @ 820.69/107.71 X148 ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 X144 ) = 820.69/107.71 ( 820.69/107.71 X148 ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ksndsingleton ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ksndpairEq ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 kpairsurjEq ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 cartprodsndin ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 cartprodpairmemEL ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 cartprodpairmemER ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X150:$i, 820.69/107.71 X152:$i, 820.69/107.71 X154:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X154 @ 820.69/107.71 X150 ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X156:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X156 @ 820.69/107.71 X152 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X154 @ 820.69/107.71 X156 ) = 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X154 @ 820.69/107.71 X156 ) ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 cartprodfstpairEq ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 cartprodsndpairEq ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 cartprodpairsurjEq ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X158:$i, 820.69/107.71 X160:$i, 820.69/107.71 X162:( 820.69/107.71 $i > $i > 820.69/107.71 $o ), 820.69/107.71 X164:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X164 @ 820.69/107.71 X158 ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X166:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X166 @ 820.69/107.71 X160 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 X162 @ 820.69/107.71 X164 @ 820.69/107.71 X166 ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X164 @ 820.69/107.71 X166 ) @ 820.69/107.71 ( 820.69/107.71 dpsetconstr 820.69/107.71 @ 820.69/107.71 X158 @ 820.69/107.71 X160 @ 820.69/107.71 ( 820.69/107.71 ^[ 820.69/107.71 V_1:$i, 820.69/107.71 V_2:$i]: 820.69/107.71 ( 820.69/107.71 X162 @ 820.69/107.71 V_1 @ V_2 ) ) ) ) ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X168:$i, 820.69/107.71 X170:$i, 820.69/107.71 X172:( 820.69/107.71 $i > $i > 820.69/107.71 $o )]: 820.69/107.71 ( 820.69/107.71 subset @ 820.69/107.71 ( 820.69/107.71 dpsetconstr 820.69/107.71 @ 820.69/107.71 X168 @ 820.69/107.71 X170 @ 820.69/107.71 ( 820.69/107.71 ^[ 820.69/107.71 V_3:$i, 820.69/107.71 V_4:$i]: 820.69/107.71 ( 820.69/107.71 X172 @ 820.69/107.71 V_3 @ V_4 ) ) ) @ 820.69/107.71 ( 820.69/107.71 cartprod 820.69/107.71 @ 820.69/107.71 X168 @ 820.69/107.71 X170 ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 setOfPairsIsBReln ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X174:$i, 820.69/107.71 X176:$i, 820.69/107.71 X178:( 820.69/107.71 $i > $i > 820.69/107.71 $o ), 820.69/107.71 X180:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X180 @ 820.69/107.71 X174 ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X182:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X182 @ 820.69/107.71 X176 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X180 @ 820.69/107.71 X182 ) @ 820.69/107.71 ( 820.69/107.71 dpsetconstr 820.69/107.71 @ 820.69/107.71 X174 @ 820.69/107.71 X176 @ 820.69/107.71 ( 820.69/107.71 ^[ 820.69/107.71 V_5:$i, 820.69/107.71 V_6:$i]: 820.69/107.71 ( 820.69/107.71 X178 @ 820.69/107.71 V_5 @ V_6 ) ) ) ) => 820.69/107.71 ( 820.69/107.71 X178 @ 820.69/107.71 X180 @ 820.69/107.71 X182 ) ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X184:$i, 820.69/107.71 X186:$i, 820.69/107.71 X188:( 820.69/107.71 $i > $i > 820.69/107.71 $o ), 820.69/107.71 X190:$i, 820.69/107.71 X192:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X190 @ 820.69/107.71 X192 ) @ 820.69/107.71 ( 820.69/107.71 dpsetconstr 820.69/107.71 @ 820.69/107.71 X184 @ 820.69/107.71 X186 @ 820.69/107.71 ( 820.69/107.71 ^[ 820.69/107.71 V_7:$i, 820.69/107.71 V_8:$i]: 820.69/107.71 ( 820.69/107.71 X188 @ 820.69/107.71 V_7 @ V_8 ) ) ) ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X190 @ 820.69/107.71 X184 ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X194:$i, 820.69/107.71 X196:$i, 820.69/107.71 X198:( 820.69/107.71 $i > $i > 820.69/107.71 $o ), 820.69/107.71 X200:$i, 820.69/107.71 X202:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X200 @ 820.69/107.71 X202 ) @ 820.69/107.71 ( 820.69/107.71 dpsetconstr 820.69/107.71 @ 820.69/107.71 X194 @ 820.69/107.71 X196 @ 820.69/107.71 ( 820.69/107.71 ^[ 820.69/107.71 V_9:$i, 820.69/107.71 V_10:$i]: 820.69/107.71 ( 820.69/107.71 X198 @ 820.69/107.71 V_9 @ 820.69/107.71 V_10 ) ) ) ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X202 @ 820.69/107.71 X196 ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X204:$i, 820.69/107.71 X206:$i, 820.69/107.71 X208:( 820.69/107.71 $i > $i > 820.69/107.71 $o ), 820.69/107.71 X210:$i, 820.69/107.71 X212:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X210 @ 820.69/107.71 X212 ) @ 820.69/107.71 ( 820.69/107.71 dpsetconstr 820.69/107.71 @ 820.69/107.71 X204 @ 820.69/107.71 X206 @ 820.69/107.71 ( 820.69/107.71 ^[ 820.69/107.71 V_11:$i, 820.69/107.71 V_12:$i]: 820.69/107.71 ( 820.69/107.71 X208 @ 820.69/107.71 V_11 @ 820.69/107.71 V_12 ) ) ) ) => 820.69/107.71 ( 820.69/107.71 X208 @ 820.69/107.71 X210 @ 820.69/107.71 X212 ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 funcImageSingleton ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X214:$i, 820.69/107.71 X216:$i, 820.69/107.71 X218:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 func @ 820.69/107.71 X214 @ 820.69/107.71 X216 @ 820.69/107.71 X218 ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X220:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X220 @ 820.69/107.71 X214 ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 setunion 820.69/107.71 @ 820.69/107.71 ( 820.69/107.71 dsetconstr 820.69/107.71 @ 820.69/107.71 X216 @ 820.69/107.71 ( 820.69/107.71 ^[ 820.69/107.71 V_13:$i]: 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X220 @ 820.69/107.71 V_13 ) @ 820.69/107.71 X218 ) ) ) ) @ 820.69/107.71 X216 ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X222:$i, 820.69/107.71 X224:$i, 820.69/107.71 X226:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 func @ 820.69/107.71 X222 @ 820.69/107.71 X224 @ 820.69/107.71 X226 ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X228:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X228 @ 820.69/107.71 X222 ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X222 @ 820.69/107.71 X224 @ 820.69/107.71 X226 @ 820.69/107.71 X228 ) @ 820.69/107.71 X224 ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X230:$i, 820.69/107.71 X232:$i, 820.69/107.71 X234:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X234 @ 820.69/107.71 ( 820.69/107.71 funcSet @ 820.69/107.71 X230 @ 820.69/107.71 X232 ) ) => 820.69/107.71 ( 820.69/107.71 func @ 820.69/107.71 X230 @ 820.69/107.71 X232 @ 820.69/107.71 X234 ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X236:$i, 820.69/107.71 X238:$i, 820.69/107.71 X240:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X240 @ 820.69/107.71 ( 820.69/107.71 funcSet @ 820.69/107.71 X236 @ 820.69/107.71 X238 ) ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X242:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X242 @ 820.69/107.71 X236 ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X236 @ 820.69/107.71 X238 @ 820.69/107.71 X240 @ 820.69/107.71 X242 ) @ 820.69/107.71 X238 ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X244:$i, 820.69/107.71 X246:$i, 820.69/107.71 X248:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 func @ 820.69/107.71 X244 @ 820.69/107.71 X246 @ 820.69/107.71 X248 ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X248 @ 820.69/107.71 ( 820.69/107.71 funcSet @ 820.69/107.71 X244 @ 820.69/107.71 X246 ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X250:$i, 820.69/107.71 X252:$i, 820.69/107.71 X254:( 820.69/107.71 $i > $i )]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X256:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X256 @ 820.69/107.71 X250 ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 X254 @ 820.69/107.71 X256 ) @ 820.69/107.71 X252 ) ) ) => 820.69/107.71 ( 820.69/107.71 func @ 820.69/107.71 X250 @ 820.69/107.71 X252 @ 820.69/107.71 ( 820.69/107.71 dpsetconstr 820.69/107.71 @ 820.69/107.71 X250 @ 820.69/107.71 X252 @ 820.69/107.71 ( 820.69/107.71 ^[ 820.69/107.71 V_14:$i, 820.69/107.71 V_15:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 X254 @ 820.69/107.71 V_14 ) = 820.69/107.71 ( 820.69/107.71 V_15 ) ) ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X258:$i, 820.69/107.71 X260:$i, 820.69/107.71 X262:( 820.69/107.71 $i > $i )]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X264:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X264 @ 820.69/107.71 X258 ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 X262 @ 820.69/107.71 X264 ) @ 820.69/107.71 X260 ) ) ) => 820.69/107.71 ( 820.69/107.71 func @ 820.69/107.71 X258 @ 820.69/107.71 X260 @ 820.69/107.71 ( 820.69/107.71 dpsetconstr 820.69/107.71 @ 820.69/107.71 X258 @ 820.69/107.71 X260 @ 820.69/107.71 ( 820.69/107.71 ^[ 820.69/107.71 V_16:$i, 820.69/107.71 V_17:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 X262 @ 820.69/107.71 V_16 ) = 820.69/107.71 ( 820.69/107.71 V_17 ) ) ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X266:$i, 820.69/107.71 X268:$i, 820.69/107.71 X270:( 820.69/107.71 $i > $i )]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X272:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X272 @ 820.69/107.71 X266 ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 X270 @ 820.69/107.71 X272 ) @ 820.69/107.71 X268 ) ) ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 dpsetconstr 820.69/107.71 @ 820.69/107.71 X266 @ 820.69/107.71 X268 @ 820.69/107.71 ( 820.69/107.71 ^[ 820.69/107.71 V_18:$i, 820.69/107.71 V_19:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 X270 @ 820.69/107.71 V_18 ) = 820.69/107.71 ( 820.69/107.71 V_19 ) ) ) ) @ 820.69/107.71 ( 820.69/107.71 funcSet @ 820.69/107.71 X266 @ 820.69/107.71 X268 ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 brelnall1 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 brelnall2 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ex1E2 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X274:$i, 820.69/107.71 X276:$i, 820.69/107.71 X278:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 func @ 820.69/107.71 X274 @ 820.69/107.71 X276 @ 820.69/107.71 X278 ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X280:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X280 @ 820.69/107.71 X274 ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X280 @ 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X274 @ 820.69/107.71 X276 @ 820.69/107.71 X278 @ 820.69/107.71 X280 ) ) @ 820.69/107.71 X278 ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X282:$i, 820.69/107.71 X284:$i, 820.69/107.71 X286:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X286 @ 820.69/107.71 ( 820.69/107.71 funcSet @ 820.69/107.71 X282 @ 820.69/107.71 X284 ) ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X288:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X288 @ 820.69/107.71 X282 ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X288 @ 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X282 @ 820.69/107.71 X284 @ 820.69/107.71 X286 @ 820.69/107.71 X288 ) ) @ 820.69/107.71 X286 ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X290:$i, 820.69/107.71 X292:$i, 820.69/107.71 X294:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 func @ 820.69/107.71 X290 @ 820.69/107.71 X292 @ 820.69/107.71 X294 ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X296:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X296 @ 820.69/107.71 X290 ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X298:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X298 @ 820.69/107.71 X292 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X296 @ 820.69/107.71 X298 ) @ 820.69/107.71 X294 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X290 @ 820.69/107.71 X292 @ 820.69/107.71 X294 @ 820.69/107.71 X296 ) = 820.69/107.71 ( 820.69/107.71 X298 ) ) ) ) ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X300:$i, 820.69/107.71 X302:$i, 820.69/107.71 X304:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 func @ 820.69/107.71 X300 @ 820.69/107.71 X302 @ 820.69/107.71 X304 ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X306:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 func @ 820.69/107.71 X300 @ 820.69/107.71 X302 @ 820.69/107.71 X306 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X308:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X308 @ 820.69/107.71 X300 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X300 @ 820.69/107.71 X302 @ 820.69/107.71 X304 @ 820.69/107.71 X308 ) = 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X300 @ 820.69/107.71 X302 @ 820.69/107.71 X306 @ 820.69/107.71 X308 ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X310:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X310 @ 820.69/107.71 X300 ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X312:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X312 @ 820.69/107.71 X302 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X310 @ 820.69/107.71 X312 ) @ 820.69/107.71 X306 ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X310 @ 820.69/107.71 X312 ) @ 820.69/107.71 X304 ) ) ) ) ) ) ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X314:$i, 820.69/107.71 X316:$i, 820.69/107.71 X318:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X318 @ 820.69/107.71 ( 820.69/107.71 funcSet @ 820.69/107.71 X314 @ 820.69/107.71 X316 ) ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X320:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X320 @ 820.69/107.71 X314 ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X322:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X322 @ 820.69/107.71 X316 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 kpair @ 820.69/107.71 X320 @ 820.69/107.71 X322 ) @ 820.69/107.71 X318 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X314 @ 820.69/107.71 X316 @ 820.69/107.71 X318 @ 820.69/107.71 X320 ) = 820.69/107.71 ( 820.69/107.71 X322 ) ) ) ) ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 subbreln ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 eqbreln ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X324:$i, 820.69/107.71 X326:$i, 820.69/107.71 X328:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 func @ 820.69/107.71 X324 @ 820.69/107.71 X326 @ 820.69/107.71 X328 ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X330:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 func @ 820.69/107.71 X324 @ 820.69/107.71 X326 @ 820.69/107.71 X330 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X332:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X332 @ 820.69/107.71 X324 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X324 @ 820.69/107.71 X326 @ 820.69/107.71 X328 @ 820.69/107.71 X332 ) = 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X324 @ 820.69/107.71 X326 @ 820.69/107.71 X330 @ 820.69/107.71 X332 ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 X328 ) = 820.69/107.71 ( 820.69/107.71 X330 ) ) ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X334:$i, 820.69/107.71 X336:$i, 820.69/107.71 X338:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X338 @ 820.69/107.71 ( 820.69/107.71 funcSet @ 820.69/107.71 X334 @ 820.69/107.71 X336 ) ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X340:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X340 @ 820.69/107.71 ( 820.69/107.71 funcSet @ 820.69/107.71 X334 @ 820.69/107.71 X336 ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X342:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X342 @ 820.69/107.71 X334 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X334 @ 820.69/107.71 X336 @ 820.69/107.71 X338 @ 820.69/107.71 X342 ) = 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X334 @ 820.69/107.71 X336 @ 820.69/107.71 X340 @ 820.69/107.71 X342 ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 X338 ) = 820.69/107.71 ( 820.69/107.71 X340 ) ) ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X344:$i, 820.69/107.71 X346:$i, 820.69/107.71 X348:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X348 @ 820.69/107.71 ( 820.69/107.71 funcSet @ 820.69/107.71 X344 @ 820.69/107.71 X346 ) ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X350:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X350 @ 820.69/107.71 X344 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X344 @ 820.69/107.71 X346 @ 820.69/107.71 X348 @ 820.69/107.71 X350 ) = 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X344 @ 820.69/107.71 X346 @ 820.69/107.71 X348 @ 820.69/107.71 X350 ) ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X352:$i, 820.69/107.71 X354:$i, 820.69/107.71 X356:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 func @ 820.69/107.71 X352 @ 820.69/107.71 X354 @ 820.69/107.71 X356 ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X358:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X358 @ 820.69/107.71 X352 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X352 @ 820.69/107.71 X354 @ 820.69/107.71 X356 @ 820.69/107.71 X358 ) = 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X352 @ 820.69/107.71 X354 @ 820.69/107.71 X356 @ 820.69/107.71 X358 ) ) ) ) ) ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X360:$i, 820.69/107.71 X362:$i, 820.69/107.71 X364:( 820.69/107.71 $i > $i )]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X366:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X366 @ 820.69/107.71 X360 ) => 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 ( 820.69/107.71 X364 @ 820.69/107.71 X366 ) @ 820.69/107.71 X362 ) ) ) => 820.69/107.71 ( 820.69/107.71 ![ 820.69/107.71 X368:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 in @ 820.69/107.71 X368 @ 820.69/107.71 X360 ) => 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 ap @ 820.69/107.71 X360 @ 820.69/107.71 X362 @ 820.69/107.71 ( 820.69/107.71 dpsetconstr 820.69/107.71 @ 820.69/107.71 X360 @ 820.69/107.71 X362 @ 820.69/107.71 ( 820.69/107.71 ^[ 820.69/107.71 V_20:$i, 820.69/107.71 V_21:$i]: 820.69/107.71 ( 820.69/107.71 ( 820.69/107.71 X364 @ 820.69/107.71 V_20 ) = 820.69/107.71 ( 820.69/107.71 V_21 ) ) ) ) @ 820.69/107.71 X368 ) = 820.69/107.71 ( 820.69/107.71 X364 @ 820.69/107.71 X368 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 820.69/107.71 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 820.69/107.71 thf(zip_derived_cl13085, plain, 820.69/107.71 (![X108 : $i, X109 : $i, X110 : $i > $i]: 820.69/107.71 ( (func @ X108 @ X109 @ 820.69/107.71 (dpsetconstr @ X108 @ X109 @ (^[Y0 : $i]: ((($i) = (X110 @ Y0)))))) 820.69/107.71 | (in @ (sk__184 @ X110 @ X109 @ X108) @ X108))), 820.69/107.71 inference('cnf', [status(esa)], [zf_stmt_1])). 820.69/107.71 thf(zip_derived_cl13072, plain, 820.69/107.71 (![X61 : $i, X62 : $i, X63 : $i > $i]: 820.69/107.71 ( (func @ X61 @ X62 @ 820.69/107.71 (dpsetconstr @ X61 @ X62 @ (^[Y0 : $i]: ((($i) = (X63 @ Y0)))))) 820.69/107.71 | ~ (in @ (X63 @ (sk__193 @ X63 @ X62 @ X61)) @ X62))), 820.69/107.71 inference('cnf', [status(esa)], [zf_stmt_1])). 820.69/107.71 thf(zip_derived_cl13073, plain, 820.69/107.71 (![X63 : $i > $i, X64 : $i, X65 : $i]: 820.69/107.71 (('#l_lift3423' @ X63 @ X64 @ X65) = (((X63 @ X64) = (X65))))), 820.69/107.71 define([status(thm)])). 820.69/107.71 thf(zip_derived_cl13086, plain, 820.69/107.71 (![X108 : $i, X109 : $i, X110 : $i > $i]: 820.69/107.71 ( (func @ X108 @ X109 @ 820.69/107.71 (dpsetconstr @ X108 @ X109 @ ('#l_lift3423' @ X110))) 820.69/107.71 | (in @ (sk__184 @ X110 @ X109 @ X108) @ X108))), 820.69/107.71 inference('lambda_lifting', [status(thm)], 820.69/107.71 [zip_derived_cl13085, zip_derived_cl13073])). 820.69/107.71 thf(zip_derived_cl126, plain, ( (in @ sk__190 @ sk__187)), 820.69/107.71 inference('cnf', [status(esa)], [zf_stmt_1])). 820.69/107.71 thf(zip_derived_cl13081, plain, 820.69/107.71 (((ap @ sk__187 @ sk__188 @ 820.69/107.71 (dpsetconstr @ sk__187 @ sk__188 @ 820.69/107.71 (^[Y0 : $i]: ((($i) = (sk__189 @ Y0))))) @ 820.69/107.71 sk__190) != (sk__189 @ sk__190))), 820.69/107.71 inference('cnf', [status(esa)], [zf_stmt_1])). 820.69/107.71 thf(zip_derived_cl13073, plain, 820.69/107.71 (![X63 : $i > $i, X64 : $i, X65 : $i]: 820.69/107.71 (('#l_lift3423' @ X63 @ X64 @ X65) = (((X63 @ X64) = (X65))))), 820.69/107.71 define([status(thm)])). 820.69/107.71 thf(zip_derived_cl13082, plain, 820.69/107.71 (((ap @ sk__187 @ sk__188 @ 820.69/107.71 (dpsetconstr @ sk__187 @ sk__188 @ ('#l_lift3423' @ sk__189)) @ 820.69/107.71 sk__190) != (sk__189 @ sk__190))), 820.69/107.71 inference('lambda_lifting', [status(thm)], 820.69/107.71 [zip_derived_cl13081, zip_derived_cl13073])). 820.69/107.71 thf(zip_derived_cl128, plain, 820.69/107.71 (![X89 : $i]: 820.69/107.71 ( (in @ (sk__189 @ X89) @ sk__188) | ~ (in @ X89 @ sk__187))), 820.69/107.71 inference('cnf', [status(esa)], [zf_stmt_1])). 820.69/107.71 thf(zip_derived_cl13083, plain, 820.69/107.71 (![X108 : $i, X109 : $i, X110 : $i > $i]: 820.69/107.71 ( (func @ X108 @ X109 @ 820.69/107.71 (dpsetconstr @ X108 @ X109 @ (^[Y0 : $i]: ((($i) = (X110 @ Y0)))))) 820.69/107.71 | ~ (in @ (X110 @ (sk__184 @ X110 @ X109 @ X108)) @ X109))), 820.69/107.71 inference('cnf', [status(esa)], [zf_stmt_1])). 820.69/107.71 thf(zip_derived_cl13073, plain, 820.69/107.71 (![X63 : $i > $i, X64 : $i, X65 : $i]: 820.69/107.71 (('#l_lift3423' @ X63 @ X64 @ X65) = (((X63 @ X64) = (X65))))), 820.69/107.71 define([status(thm)])). 820.69/107.71 thf(zip_derived_cl13084, plain, 820.69/107.71 (![X108 : $i, X109 : $i, X110 : $i > $i]: 820.69/107.71 ( (func @ X108 @ X109 @ 820.69/107.71 (dpsetconstr @ X108 @ X109 @ ('#l_lift3423' @ X110))) 820.69/107.71 | ~ (in @ (X110 @ (sk__184 @ X110 @ X109 @ X108)) @ X109))), 820.69/107.71 inference('lambda_lifting', [status(thm)], 820.69/107.71 [zip_derived_cl13083, zip_derived_cl13073])). 820.69/107.71 thf(zip_derived_cl13073, plain, 820.69/107.71 (![X63 : $i > $i, X64 : $i, X65 : $i]: 820.69/107.71 (('#l_lift3423' @ X63 @ X64 @ X65) = (((X63 @ X64) = (X65))))), 820.69/107.71 define([status(thm)])). 820.69/107.71 thf(zip_derived_cl13091, plain, 820.69/107.71 (![X131 : $i, X132 : $i, X133 : $i, X134 : $i, X135 : $i > $i > $o]: 820.69/107.71 (~ (in @ X131 @ X132) 820.69/107.71 | (in @ (kpair @ X133 @ X131) @ (dpsetconstr @ X134 @ X132 @ X135)) 820.69/107.71 | ~ (X135 @ X133 @ X131) 820.69/107.71 | ~ (in @ X133 @ X134))), 820.69/107.71 inference('cnf', [status(esa)], [zf_stmt_1])). 820.69/107.71 thf(zip_derived_cl13071, plain, 820.69/107.71 (![X48 : $i, X49 : $i, X50 : $i, X51 : $i, X52 : $i > $i > $o]: 820.69/107.71 ( (in @ X48 @ X49) 820.69/107.71 | ~ (in @ (kpair @ X50 @ X48) @ (dpsetconstr @ X51 @ X49 @ X52)))), 820.69/107.71 inference('cnf', [status(esa)], [zf_stmt_1])). 820.69/107.71 thf(zip_derived_cl120, plain, 820.69/107.71 (![X71 : $i, X72 : $i, X73 : $i, X74 : $i, X75 : $i]: 820.69/107.71 (~ (in @ X71 @ X72) 820.69/107.71 | ~ (in @ (kpair @ X71 @ X73) @ X74) 820.69/107.71 | ((ap @ X72 @ X75 @ X74 @ X71) = (X73)) 820.69/107.71 | ~ (in @ X73 @ X75) 820.69/107.71 | ~ (func @ X72 @ X75 @ X74))), 820.69/107.71 inference('cnf', [status(esa)], [zf_stmt_1])). 820.69/107.71 thf(zip_derived_cl13092, plain, ($false), 820.69/107.71 inference('eprover', [status(thm)], 820.69/107.71 [zip_derived_cl13086, zip_derived_cl126, zip_derived_cl13082, 820.69/107.71 zip_derived_cl128, zip_derived_cl13084, zip_derived_cl13073, 820.69/107.71 zip_derived_cl13091, zip_derived_cl13071, zip_derived_cl120])). 820.69/107.71 820.69/107.71 % SZS output end Refutation 820.69/107.71 820.69/107.71 820.69/107.71 % Terminating... 820.85/107.86 % Runner terminated. 820.90/107.87 % Zipperpin 1.5 exiting 820.90/107.87 EOF