0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.28Eb1jxBs6 true 0.12/0.32 % Computer : n008.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 1440 0.12/0.32 % WCLimit : 180 0.12/0.32 % DateTime : Thu Jul 4 10:34:54 EDT 2024 0.12/0.33 % CPUTime : 0.12/0.33 % Running portfolio for 1440 s 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.12/0.33 % Number of cores: 8 0.12/0.33 % Python version: Python 3.6.8 0.12/0.33 % Running in HO mode 0.67/0.62 % Total configuration time : 828 0.67/0.62 % Estimated wc time : 1656 0.67/0.62 % Estimated cpu time (8 cpus) : 207.0 0.89/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.89/0.68 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.89/0.69 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.89/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.89/0.70 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.89/0.70 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.89/0.70 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 1.37/0.72 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 238.89/30.71 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 399.52/52.60 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s 464.26/60.77 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s 602.70/79.31 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s 614.45/80.76 % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s 614.45/80.79 % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s 615.59/80.99 % /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s 693.30/90.80 % /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s 693.65/90.90 % /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s 819.95/106.83 % /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s 828.92/108.00 % Solved by lams/33_shallow_sine.sh. 828.92/108.00 % done 1080 iterations in 27.100s 828.92/108.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 828.92/108.00 % SZS output start Refutation 828.92/108.00 thf(setadjoinAx_type, type, setadjoinAx: $o). 828.92/108.00 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 828.92/108.00 thf(notdexE_type, type, notdexE: $o). 828.92/108.00 thf(setunionAx_type, type, setunionAx: $o). 828.92/108.00 thf(setminusELneg_type, type, setminusELneg: $o). 828.92/108.00 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 828.92/108.00 thf(ap2apEq1_type, type, ap2apEq1: $o). 828.92/108.00 thf(ex1E2_type, type, ex1E2: $o). 828.92/108.00 thf(powersetE_type, type, powersetE: $o). 828.92/108.00 thf(omegaSAx_type, type, omegaSAx: $o). 828.92/108.00 thf(exuI1_type, type, exuI1: $o). 828.92/108.00 thf(exuI2_type, type, exuI2: $o). 828.92/108.00 thf(notequalI2_type, type, notequalI2: $o). 828.92/108.00 thf(kpairiskpair_type, type, kpairiskpair: $o). 828.92/108.00 thf(upairsubunion_type, type, upairsubunion: $o). 828.92/108.00 thf(powerset__Cong_type, type, powerset__Cong: $o). 828.92/108.00 thf(setminusILneg_type, type, setminusILneg: $o). 828.92/108.00 thf(ap2p_type, type, ap2p: $o). 828.92/108.00 thf(wellorderingAx_type, type, wellorderingAx: $o). 828.92/108.00 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 828.92/108.00 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 828.92/108.00 thf(upairinpowunion_type, type, upairinpowunion: $o). 828.92/108.00 thf(setoftrueEq_type, type, setoftrueEq: $o). 828.92/108.00 thf(func_type, type, func: $i > $i > $i > $o). 828.92/108.00 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 828.92/108.00 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 828.92/108.00 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 828.92/108.00 thf(dpsetconstrER_type, type, dpsetconstrER: $o). 828.92/108.00 thf(sepInPowerset_type, type, sepInPowerset: $o). 828.92/108.00 thf(setukpairIR_type, type, setukpairIR: $o). 828.92/108.00 thf(lamp_type, type, lamp: $o). 828.92/108.00 thf(kpair_type, type, kpair: $i > $i > $i). 828.92/108.00 thf(binunionE_type, type, binunionE: $o). 828.92/108.00 thf(setext_type, type, setext: $o). 828.92/108.00 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 828.92/108.00 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 828.92/108.00 thf(funcSet_type, type, funcSet: $i > $i > $i). 828.92/108.00 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 828.92/108.00 thf(descr__Cong_type, type, descr__Cong: $o). 828.92/108.00 thf(subbreln_type, type, subbreln: $o). 828.92/108.00 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 828.92/108.00 thf(app_type, type, app: $o). 828.92/108.00 thf(in_type, type, in: $i > $i > $o). 828.92/108.00 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 828.92/108.00 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 828.92/108.00 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 828.92/108.00 thf(brelnall1_type, type, brelnall1: $o). 828.92/108.00 thf(funcGraphProp3_type, type, funcGraphProp3: $o). 828.92/108.00 thf(setadjoinIR_type, type, setadjoinIR: $o). 828.92/108.00 thf(funcGraphProp2_type, type, funcGraphProp2: $o). 828.92/108.00 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 828.92/108.00 thf(funcextLem_type, type, funcextLem: $o). 828.92/108.00 thf(symdiffI2_type, type, symdiffI2: $o). 828.92/108.00 thf(upairset2IR_type, type, upairset2IR: $o). 828.92/108.00 thf(brelnall2_type, type, brelnall2: $o). 828.92/108.00 thf(subsetE_type, type, subsetE: $o). 828.92/108.00 thf(prop2set2propI_type, type, prop2set2propI: $o). 828.92/108.00 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 828.92/108.00 thf(setbeta_type, type, setbeta: $o). 828.92/108.00 thf(eqinunit_type, type, eqinunit: $o). 828.92/108.00 thf(upairsetIL_type, type, upairsetIL: $o). 828.92/108.00 thf(powersetI1_type, type, powersetI1: $o). 828.92/108.00 thf(lamProp_type, type, lamProp: $o). 828.92/108.00 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 828.92/108.00 thf(setukpairinjR_type, type, setukpairinjR: $o). 828.92/108.00 thf(cartprodfstin_type, type, cartprodfstin: $o). 828.92/108.00 thf(setminusIRneg_type, type, setminusIRneg: $o). 828.92/108.00 thf(powersetAx_type, type, powersetAx: $o). 828.92/108.00 thf(singletonprop_type, type, singletonprop: $o). 828.92/108.00 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 828.92/108.00 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 828.92/108.00 thf(powersetI_type, type, powersetI: $o). 828.92/108.00 thf(sk__189_type, type, sk__189: $i > $i). 828.92/108.00 thf(cartprodmempair_type, type, cartprodmempair: $o). 828.92/108.00 thf(upairsetIR_type, type, upairsetIR: $o). 828.92/108.00 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 828.92/108.00 thf(inCongP_type, type, inCongP: $o). 828.92/108.00 thf(setukpairinjL_type, type, setukpairinjL: $o). 828.92/108.00 thf(setadjoinSub_type, type, setadjoinSub: $o). 828.92/108.00 thf(exuE3e_type, type, exuE3e: $o). 828.92/108.00 thf(emptysetE_type, type, emptysetE: $o). 828.92/108.00 thf(sk__190_type, type, sk__190: $i). 828.92/108.00 thf(upairequniteq_type, type, upairequniteq: $o). 828.92/108.00 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 828.92/108.00 thf(setunionI_type, type, setunionI: $o). 828.92/108.00 thf(setunion__Cong_type, type, setunion__Cong: $o). 828.92/108.00 thf(prop2setI_type, type, prop2setI: $o). 828.92/108.00 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 828.92/108.00 thf(funcinfuncset_type, type, funcinfuncset: $o). 828.92/108.00 thf(setminusER_type, type, setminusER: $o). 828.92/108.00 thf(exuE2_type, type, exuE2: $o). 828.92/108.00 thf(powersetsubset_type, type, powersetsubset: $o). 828.92/108.00 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 828.92/108.00 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 828.92/108.00 thf(subPowSU_type, type, subPowSU: $o). 828.92/108.00 thf(sk__193_type, type, sk__193: ($i > $i) > $i > $i > $i). 828.92/108.00 thf(notequalI1_type, type, notequalI1: $o). 828.92/108.00 thf(notinemptyset_type, type, notinemptyset: $o). 828.92/108.00 thf(nonemptyI1_type, type, nonemptyI1: $o). 828.92/108.00 thf(subsetTrans_type, type, subsetTrans: $o). 828.92/108.00 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 828.92/108.00 thf(kpairp_type, type, kpairp: $o). 828.92/108.00 thf(setminusI_type, type, setminusI: $o). 828.92/108.00 thf(binunionIL_type, type, binunionIL: $o). 828.92/108.00 thf(setunionsingleton_type, type, setunionsingleton: $o). 828.92/108.00 thf(subsetE2_type, type, subsetE2: $o). 828.92/108.00 thf(singletonsswitch_type, type, singletonsswitch: $o). 828.92/108.00 thf(kfstpairEq_type, type, kfstpairEq: $o). 828.92/108.00 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 828.92/108.00 thf(setextsub_type, type, setextsub: $o). 828.92/108.00 thf(lam_type, type, lam: $i > $i > ($i > $i) > $i). 828.92/108.00 thf(binunionLsub_type, type, binunionLsub: $o). 828.92/108.00 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 828.92/108.00 thf(emptysetsubset_type, type, emptysetsubset: $o). 828.92/108.00 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 828.92/108.00 thf(setunionE_type, type, setunionE: $o). 828.92/108.00 thf(setminusSubset1_type, type, setminusSubset1: $o). 828.92/108.00 thf(sk__188_type, type, sk__188: $i). 828.92/108.00 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 828.92/108.00 thf(binunionIR_type, type, binunionIR: $o). 828.92/108.00 thf(setadjoinE_type, type, setadjoinE: $o). 828.92/108.00 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 828.92/108.00 thf(singletonsuniq_type, type, singletonsuniq: $o). 828.92/108.00 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o). 828.92/108.00 thf(sk__184_type, type, sk__184: ($i > $i) > $i > $i > $i). 828.92/108.00 thf(setadjoinIL_type, type, setadjoinIL: $o). 828.92/108.00 thf(exuE1_type, type, exuE1: $o). 828.92/108.00 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 828.92/108.00 thf(binintersectRsub_type, type, binintersectRsub: $o). 828.92/108.00 thf(setminusLsub_type, type, setminusLsub: $o). 828.92/108.00 thf(notinsingleton_type, type, notinsingleton: $o). 828.92/108.00 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o). 828.92/108.00 thf(infuncsetfunc_type, type, infuncsetfunc: $o). 828.92/108.00 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 828.92/108.00 thf(exuEu_type, type, exuEu: $o). 828.92/108.00 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 828.92/108.00 thf(ex1I2_type, type, ex1I2: $o). 828.92/108.00 thf(upairsetE_type, type, upairsetE: $o). 828.92/108.00 thf(omega0Ax_type, type, omega0Ax: $o). 828.92/108.00 thf(ap_type, type, ap: $i > $i > $i > $i > $i). 828.92/108.00 thf(notsubsetI_type, type, notsubsetI: $o). 828.92/108.00 thf('#l_lift3625_type', type, '#l_lift3625': ($i > $i) > $i > $i > $o). 828.92/108.00 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 828.92/108.00 thf(setextAx_type, type, setextAx: $o). 828.92/108.00 thf(powersetE1_type, type, powersetE1: $o). 828.92/108.00 thf(bs114d_type, type, bs114d: $o). 828.92/108.00 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 828.92/108.00 thf(setunion_type, type, setunion: $i > $i). 828.92/108.00 thf(binintersectLsub_type, type, binintersectLsub: $o). 828.92/108.00 thf(subsetI1_type, type, subsetI1: $o). 828.92/108.00 thf(symdiffE_type, type, symdiffE: $o). 828.92/108.00 thf(descrp_type, type, descrp: $o). 828.92/108.00 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 828.92/108.00 thf(foundationAx_type, type, foundationAx: $o). 828.92/108.00 thf(emptysetAx_type, type, emptysetAx: $o). 828.92/108.00 thf(emptyI_type, type, emptyI: $o). 828.92/108.00 thf(setadjoinOr_type, type, setadjoinOr: $o). 828.92/108.00 thf(binintersectEL_type, type, binintersectEL: $o). 828.92/108.00 thf(emptyE1_type, type, emptyE1: $o). 828.92/108.00 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 828.92/108.00 thf(funcImageSingleton_type, type, funcImageSingleton: $o). 828.92/108.00 thf(vacuousDall_type, type, vacuousDall: $o). 828.92/108.00 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 828.92/108.00 thf(dsetconstrER_type, type, dsetconstrER: $o). 828.92/108.00 thf(funcGraphProp1_type, type, funcGraphProp1: $o). 828.92/108.00 thf(lam2p_type, type, lam2p: $o). 828.92/108.00 thf(binintersectI_type, type, binintersectI: $o). 828.92/108.00 thf(cartprodpairin_type, type, cartprodpairin: $o). 828.92/108.00 thf(ex1I_type, type, ex1I: $o). 828.92/108.00 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 828.92/108.00 thf(cartprodsndin_type, type, cartprodsndin: $o). 828.92/108.00 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 828.92/108.00 thf(dpsetconstr_type, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 828.92/108.00 thf(symdiffI1_type, type, symdiffI1: $o). 828.92/108.00 thf(sk__187_type, type, sk__187: $i). 828.92/108.00 thf(subsetI2_type, type, subsetI2: $o). 828.92/108.00 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 828.92/108.00 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 828.92/108.00 thf(theprop_type, type, theprop: $o). 828.92/108.00 thf(setminusERneg_type, type, setminusERneg: $o). 828.92/108.00 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 828.92/108.00 thf(omega__Cong_type, type, omega__Cong: $o). 828.92/108.00 thf(subsetRefl_type, type, subsetRefl: $o). 828.92/108.00 thf(uniqinunit_type, type, uniqinunit: $o). 828.92/108.00 thf(ap2apEq2_type, type, ap2apEq2: $o). 828.92/108.00 thf(funcGraphProp4_type, type, funcGraphProp4: $o). 828.92/108.00 thf(setminusSubset2_type, type, setminusSubset2: $o). 828.92/108.00 thf(prop2setE_type, type, prop2setE: $o). 828.92/108.00 thf(binunionEcases_type, type, binunionEcases: $o). 828.92/108.00 thf(nonemptyI_type, type, nonemptyI: $o). 828.92/108.00 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 828.92/108.00 thf(exuE3u_type, type, exuE3u: $o). 828.92/108.00 thf(setminusEL_type, type, setminusEL: $o). 828.92/108.00 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 828.92/108.00 thf(sepSubset_type, type, sepSubset: $o). 828.92/108.00 thf(upairset2E_type, type, upairset2E: $o). 828.92/108.00 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 828.92/108.00 thf(exuI3_type, type, exuI3: $o). 828.92/108.00 thf(funcext_type, type, funcext: $o). 828.92/108.00 thf(notdallE_type, type, notdallE: $o). 828.92/108.00 thf(binintersectER_type, type, binintersectER: $o). 828.92/108.00 thf(ksndsingleton_type, type, ksndsingleton: $o). 828.92/108.00 thf(kfstsingleton_type, type, kfstsingleton: $o). 828.92/108.00 thf(dsetconstrI_type, type, dsetconstrI: $o). 828.92/108.00 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 828.92/108.00 thf(exu__Cong_type, type, exu__Cong: $o). 828.92/108.00 thf(ksndpairEq_type, type, ksndpairEq: $o). 828.92/108.00 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 828.92/108.00 thf(ex1E1_type, type, ex1E1: $o). 828.92/108.00 thf(secondinupair_type, type, secondinupair: $o). 828.92/108.00 thf(singletonsubset_type, type, singletonsubset: $o). 828.92/108.00 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 828.92/108.00 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 828.92/108.00 thf(eqbreln_type, type, eqbreln: $o). 828.92/108.00 thf(replAx_type, type, replAx: $o). 828.92/108.00 thf(nonemptyE1_type, type, nonemptyE1: $o). 828.92/108.00 thf(omegaIndAx_type, type, omegaIndAx: $o). 828.92/108.00 thf(setukpairIL_type, type, setukpairIL: $o). 828.92/108.00 thf(setunionE2_type, type, setunionE2: $o). 828.92/108.00 thf(inPowerset_type, type, inPowerset: $o). 828.92/108.00 thf(funcext2_type, type, funcext2: $o). 828.92/108.00 thf(cartprod_type, type, cartprod: $i > $i > $i). 828.92/108.00 thf(subset_type, type, subset: $i > $i > $o). 828.92/108.00 thf(apProp_type, type, apProp: $o). 828.92/108.00 thf(in__Cong_type, type, in__Cong: $o). 828.92/108.00 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 828.92/108.00 thf(binunionRsub_type, type, binunionRsub: $o). 828.92/108.00 thf(subset2powerset_type, type, subset2powerset: $o). 828.92/108.00 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 828.92/108.00 thf(ap2apEq2, axiom, ap2apEq2 = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( func @ A @ B @ Xf ) => 828.92/108.00 ( ![Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( ( ap @ A @ B @ Xf @ Xx ) = ( ap @ A @ B @ Xf @ Xx ) ) ) ) ))). 828.92/108.00 thf('0', plain, 828.92/108.00 (( ap2apEq2 ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( func @ X4 @ X6 @ X8 ) => 828.92/108.00 ( ![X10:$i]: 828.92/108.00 ( ( in @ X10 @ X4 ) => 828.92/108.00 ( ( ap @ X4 @ X6 @ X8 @ X10 ) = ( ap @ X4 @ X6 @ X8 @ X10 ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(ap2apEq1, axiom, ap2apEq1 = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( in @ Xf @ ( funcSet @ A @ B ) ) => 828.92/108.00 ( ![Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( ( ap @ A @ B @ Xf @ Xx ) = ( ap @ A @ B @ Xf @ Xx ) ) ) ) ))). 828.92/108.00 thf('1', plain, 828.92/108.00 (( ap2apEq1 ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) => 828.92/108.00 ( ![X10:$i]: 828.92/108.00 ( ( in @ X10 @ X4 ) => 828.92/108.00 ( ( ap @ X4 @ X6 @ X8 @ X10 ) = ( ap @ X4 @ X6 @ X8 @ X10 ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(funcext2, axiom, funcext2 = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( in @ Xf @ ( funcSet @ A @ B ) ) => 828.92/108.00 ( ![Xg:$i]: 828.92/108.00 ( ( in @ Xg @ ( funcSet @ A @ B ) ) => 828.92/108.00 ( ( ![Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( ( ap @ A @ B @ Xf @ Xx ) = ( ap @ A @ B @ Xg @ Xx ) ) ) ) => 828.92/108.00 ( ( Xf ) = ( Xg ) ) ) ) ) ))). 828.92/108.00 thf('2', plain, 828.92/108.00 (( funcext2 ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) => 828.92/108.00 ( ![X10:$i]: 828.92/108.00 ( ( in @ X10 @ ( funcSet @ X4 @ X6 ) ) => 828.92/108.00 ( ( ![X12:$i]: 828.92/108.00 ( ( in @ X12 @ X4 ) => 828.92/108.00 ( ( ap @ X4 @ X6 @ X8 @ X12 ) = 828.92/108.00 ( ap @ X4 @ X6 @ X10 @ X12 ) ) ) ) => 828.92/108.00 ( ( X8 ) = ( X10 ) ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(funcext, axiom, funcext = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( func @ A @ B @ Xf ) => 828.92/108.00 ( ![Xg:$i]: 828.92/108.00 ( ( func @ A @ B @ Xg ) => 828.92/108.00 ( ( ![Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( ( ap @ A @ B @ Xf @ Xx ) = ( ap @ A @ B @ Xg @ Xx ) ) ) ) => 828.92/108.00 ( ( Xf ) = ( Xg ) ) ) ) ) ))). 828.92/108.00 thf('3', plain, 828.92/108.00 (( funcext ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( func @ X4 @ X6 @ X8 ) => 828.92/108.00 ( ![X10:$i]: 828.92/108.00 ( ( func @ X4 @ X6 @ X10 ) => 828.92/108.00 ( ( ![X12:$i]: 828.92/108.00 ( ( in @ X12 @ X4 ) => 828.92/108.00 ( ( ap @ X4 @ X6 @ X8 @ X12 ) = 828.92/108.00 ( ap @ X4 @ X6 @ X10 @ X12 ) ) ) ) => 828.92/108.00 ( ( X8 ) = ( X10 ) ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(funcGraphProp4, axiom, funcGraphProp4 = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( in @ Xf @ ( funcSet @ A @ B ) ) => 828.92/108.00 ( ![Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( ![Xy:$i]: 828.92/108.00 ( ( in @ Xy @ B ) => 828.92/108.00 ( ( in @ ( kpair @ Xx @ Xy ) @ Xf ) => 828.92/108.00 ( ( ap @ A @ B @ Xf @ Xx ) = ( Xy ) ) ) ) ) ) ) ))). 828.92/108.00 thf('4', plain, 828.92/108.00 (( funcGraphProp4 ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) => 828.92/108.00 ( ![X10:$i]: 828.92/108.00 ( ( in @ X10 @ X4 ) => 828.92/108.00 ( ![X12:$i]: 828.92/108.00 ( ( in @ X12 @ X6 ) => 828.92/108.00 ( ( in @ ( kpair @ X10 @ X12 ) @ X8 ) => 828.92/108.00 ( ( ap @ X4 @ X6 @ X8 @ X10 ) = ( X12 ) ) ) ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(funcextLem, axiom, funcextLem = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( func @ A @ B @ Xf ) => 828.92/108.00 ( ![Xg:$i]: 828.92/108.00 ( ( func @ A @ B @ Xg ) => 828.92/108.00 ( ( ![Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( ( ap @ A @ B @ Xf @ Xx ) = ( ap @ A @ B @ Xg @ Xx ) ) ) ) => 828.92/108.00 ( ![Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( ![Xy:$i]: 828.92/108.00 ( ( in @ Xy @ B ) => 828.92/108.00 ( ( in @ ( kpair @ Xx @ Xy ) @ Xg ) => 828.92/108.00 ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) ) ) ) ) ) ) ) ))). 828.92/108.00 thf('5', plain, 828.92/108.00 (( funcextLem ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( func @ X4 @ X6 @ X8 ) => 828.92/108.00 ( ![X10:$i]: 828.92/108.00 ( ( func @ X4 @ X6 @ X10 ) => 828.92/108.00 ( ( ![X12:$i]: 828.92/108.00 ( ( in @ X12 @ X4 ) => 828.92/108.00 ( ( ap @ X4 @ X6 @ X8 @ X12 ) = 828.92/108.00 ( ap @ X4 @ X6 @ X10 @ X12 ) ) ) ) => 828.92/108.00 ( ![X14:$i]: 828.92/108.00 ( ( in @ X14 @ X4 ) => 828.92/108.00 ( ![X16:$i]: 828.92/108.00 ( ( in @ X16 @ X6 ) => 828.92/108.00 ( ( in @ ( kpair @ X14 @ X16 ) @ X10 ) => 828.92/108.00 ( in @ ( kpair @ X14 @ X16 ) @ X8 ) ) ) ) ) ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(funcGraphProp2, axiom, funcGraphProp2 = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( func @ A @ B @ Xf ) => 828.92/108.00 ( ![Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( ![Xy:$i]: 828.92/108.00 ( ( in @ Xy @ B ) => 828.92/108.00 ( ( in @ ( kpair @ Xx @ Xy ) @ Xf ) => 828.92/108.00 ( ( ap @ A @ B @ Xf @ Xx ) = ( Xy ) ) ) ) ) ) ) ))). 828.92/108.00 thf('6', plain, 828.92/108.00 (( funcGraphProp2 ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( func @ X4 @ X6 @ X8 ) => 828.92/108.00 ( ![X10:$i]: 828.92/108.00 ( ( in @ X10 @ X4 ) => 828.92/108.00 ( ![X12:$i]: 828.92/108.00 ( ( in @ X12 @ X6 ) => 828.92/108.00 ( ( in @ ( kpair @ X10 @ X12 ) @ X8 ) => 828.92/108.00 ( ( ap @ X4 @ X6 @ X8 @ X10 ) = ( X12 ) ) ) ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(funcGraphProp3, axiom, funcGraphProp3 = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( in @ Xf @ ( funcSet @ A @ B ) ) => 828.92/108.00 ( ![Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( in @ ( kpair @ Xx @ ( ap @ A @ B @ Xf @ Xx ) ) @ Xf ) ) ) ))). 828.92/108.00 thf('7', plain, 828.92/108.00 (( funcGraphProp3 ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) => 828.92/108.00 ( ![X10:$i]: 828.92/108.00 ( ( in @ X10 @ X4 ) => 828.92/108.00 ( in @ ( kpair @ X10 @ ( ap @ X4 @ X6 @ X8 @ X10 ) ) @ X8 ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(funcGraphProp1, axiom, funcGraphProp1 = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( func @ A @ B @ Xf ) => 828.92/108.00 ( ![Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( in @ ( kpair @ Xx @ ( ap @ A @ B @ Xf @ Xx ) ) @ Xf ) ) ) ))). 828.92/108.00 thf('8', plain, 828.92/108.00 (( funcGraphProp1 ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( func @ X4 @ X6 @ X8 ) => 828.92/108.00 ( ![X10:$i]: 828.92/108.00 ( ( in @ X10 @ X4 ) => 828.92/108.00 ( in @ ( kpair @ X10 @ ( ap @ X4 @ X6 @ X8 @ X10 ) ) @ X8 ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(lam2p, axiom, lam2p = 828.92/108.00 (![A:$i,B:$i,Xf:( $i > $i )]: 828.92/108.00 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( Xf @ Xx ) @ B ) ) ) => 828.92/108.00 ( in @ ( lam @ A @ B @ ( ^[Xx:$i]: ( Xf @ Xx ) ) ) @ ( funcSet @ A @ B ) ) ))). 828.92/108.00 thf('9', plain, 828.92/108.00 (( lam2p ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:( $i > $i )]: 828.92/108.00 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 828.92/108.00 ( in @ 828.92/108.00 ( lam @ X4 @ X6 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) @ 828.92/108.00 ( funcSet @ X4 @ X6 ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(lamp, axiom, lamp = 828.92/108.00 (![A:$i,B:$i,Xf:( $i > $i )]: 828.92/108.00 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( Xf @ Xx ) @ B ) ) ) => 828.92/108.00 ( func @ A @ B @ ( lam @ A @ B @ ( ^[Xx:$i]: ( Xf @ Xx ) ) ) ) ))). 828.92/108.00 thf('10', plain, 828.92/108.00 (( lamp ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:( $i > $i )]: 828.92/108.00 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 828.92/108.00 ( func @ X4 @ X6 @ ( lam @ X4 @ X6 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(lam, axiom,(( lam ) = 828.92/108.00 (^[A:$i,B:$i,Xf:( $i > $i )]: 828.92/108.00 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) )))). 828.92/108.00 thf('11', plain, 828.92/108.00 (( lam ) = 828.92/108.00 ( ^[A:$i,B:$i,Xf:( $i > $i )]: 828.92/108.00 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) ) )), 828.92/108.00 inference('simplify_rw_rule', [status(thm)], [lam])). 828.92/108.00 thf('12', plain, 828.92/108.00 (( lam ) = 828.92/108.00 ( ^[V_1:$i,V_2:$i,V_3:( $i > $i )]: 828.92/108.00 ( dpsetconstr @ 828.92/108.00 V_1 @ V_2 @ ( ^[V_4:$i,V_5:$i]: ( ( V_3 @ V_4 ) = ( V_5 ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(lamProp, axiom, lamProp = 828.92/108.00 (![A:$i,B:$i,Xf:( $i > $i )]: 828.92/108.00 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( Xf @ Xx ) @ B ) ) ) => 828.92/108.00 ( func @ 828.92/108.00 A @ B @ 828.92/108.00 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) ) ) ))). 828.92/108.00 thf('13', plain, 828.92/108.00 (( lamProp ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:( $i > $i )]: 828.92/108.00 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 828.92/108.00 ( func @ 828.92/108.00 X4 @ X6 @ 828.92/108.00 ( dpsetconstr @ 828.92/108.00 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( ( X8 @ V_1 ) = ( V_2 ) ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(funcinfuncset, axiom, funcinfuncset = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( func @ A @ B @ Xf ) => ( in @ Xf @ ( funcSet @ A @ B ) ) ))). 828.92/108.00 thf('14', plain, 828.92/108.00 (( funcinfuncset ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( func @ X4 @ X6 @ X8 ) => ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(ap2p, axiom, ap2p = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( in @ Xf @ ( funcSet @ A @ B ) ) => 828.92/108.00 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ))). 828.92/108.00 thf('15', plain, 828.92/108.00 (( ap2p ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) => 828.92/108.00 ( ![X10:$i]: 828.92/108.00 ( ( in @ X10 @ X4 ) => ( in @ ( ap @ X4 @ X6 @ X8 @ X10 ) @ X6 ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(infuncsetfunc, axiom, infuncsetfunc = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( in @ Xf @ ( funcSet @ A @ B ) ) => ( func @ A @ B @ Xf ) ))). 828.92/108.00 thf('16', plain, 828.92/108.00 (( infuncsetfunc ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( in @ X8 @ ( funcSet @ X4 @ X6 ) ) => ( func @ X4 @ X6 @ X8 ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(app, axiom, app = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( func @ A @ B @ Xf ) => 828.92/108.00 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ))). 828.92/108.00 thf('17', plain, 828.92/108.00 (( app ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( func @ X4 @ X6 @ X8 ) => 828.92/108.00 ( ![X10:$i]: 828.92/108.00 ( ( in @ X10 @ X4 ) => ( in @ ( ap @ X4 @ X6 @ X8 @ X10 ) @ X6 ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(apProp, axiom, apProp = 828.92/108.00 (![A:$i,B:$i,Xf:$i]: 828.92/108.00 ( ( func @ A @ B @ Xf ) => 828.92/108.00 ( ![Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( in @ 828.92/108.00 ( setunion @ 828.92/108.00 ( dsetconstr @ 828.92/108.00 B @ ( ^[Xy:$i]: ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) ) ) @ 828.92/108.00 B ) ) ) ))). 828.92/108.00 thf('18', plain, 828.92/108.00 (( apProp ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( func @ X4 @ X6 @ X8 ) => 828.92/108.00 ( ![X10:$i]: 828.92/108.00 ( ( in @ X10 @ X4 ) => 828.92/108.00 ( in @ 828.92/108.00 ( setunion @ 828.92/108.00 ( dsetconstr @ 828.92/108.00 X6 @ ( ^[V_1:$i]: ( in @ ( kpair @ X10 @ V_1 ) @ X8 ) ) ) ) @ 828.92/108.00 X6 ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(dpsetconstrER, axiom, dpsetconstrER = 828.92/108.00 (![A:$i,B:$i,Xphi:( $i > $i > $o ),Xx:$i,Xy:$i]: 828.92/108.00 ( ( in @ 828.92/108.00 ( kpair @ Xx @ Xy ) @ 828.92/108.00 ( dpsetconstr @ A @ B @ ( ^[Xz:$i,Xu:$i]: ( Xphi @ Xz @ Xu ) ) ) ) => 828.92/108.00 ( Xphi @ Xx @ Xy ) ))). 828.92/108.00 thf('19', plain, 828.92/108.00 (( dpsetconstrER ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:( $i > $i > $o ),X10:$i,X12:$i]: 828.92/108.00 ( ( in @ 828.92/108.00 ( kpair @ X10 @ X12 ) @ 828.92/108.00 ( dpsetconstr @ X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) ) => 828.92/108.00 ( X8 @ X10 @ X12 ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(dpsetconstrEL2, axiom, dpsetconstrEL2 = 828.92/108.00 (![A:$i,B:$i,Xphi:( $i > $i > $o ),Xx:$i,Xy:$i]: 828.92/108.00 ( ( in @ 828.92/108.00 ( kpair @ Xx @ Xy ) @ 828.92/108.00 ( dpsetconstr @ A @ B @ ( ^[Xz:$i,Xu:$i]: ( Xphi @ Xz @ Xu ) ) ) ) => 828.92/108.00 ( in @ Xy @ B ) ))). 828.92/108.00 thf('20', plain, 828.92/108.00 (( dpsetconstrEL2 ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:( $i > $i > $o ),X10:$i,X12:$i]: 828.92/108.00 ( ( in @ 828.92/108.00 ( kpair @ X10 @ X12 ) @ 828.92/108.00 ( dpsetconstr @ X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) ) => 828.92/108.00 ( in @ X12 @ X6 ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(dpsetconstrEL1, axiom, dpsetconstrEL1 = 828.92/108.00 (![A:$i,B:$i,Xphi:( $i > $i > $o ),Xx:$i,Xy:$i]: 828.92/108.00 ( ( in @ 828.92/108.00 ( kpair @ Xx @ Xy ) @ 828.92/108.00 ( dpsetconstr @ A @ B @ ( ^[Xz:$i,Xu:$i]: ( Xphi @ Xz @ Xu ) ) ) ) => 828.92/108.00 ( in @ Xx @ A ) ))). 828.92/108.00 thf('21', plain, 828.92/108.00 (( dpsetconstrEL1 ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:( $i > $i > $o ),X10:$i,X12:$i]: 828.92/108.00 ( ( in @ 828.92/108.00 ( kpair @ X10 @ X12 ) @ 828.92/108.00 ( dpsetconstr @ X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) ) => 828.92/108.00 ( in @ X10 @ X4 ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(dpsetconstrERa, axiom, dpsetconstrERa = 828.92/108.00 (![A:$i,B:$i,Xphi:( $i > $i > $o ),Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( ![Xy:$i]: 828.92/108.00 ( ( in @ Xy @ B ) => 828.92/108.00 ( ( in @ 828.92/108.00 ( kpair @ Xx @ Xy ) @ 828.92/108.00 ( dpsetconstr @ A @ B @ ( ^[Xz:$i,Xu:$i]: ( Xphi @ Xz @ Xu ) ) ) ) => 828.92/108.00 ( Xphi @ Xx @ Xy ) ) ) ) ))). 828.92/108.00 thf('22', plain, 828.92/108.00 (( dpsetconstrERa ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:( $i > $i > $o ),X10:$i]: 828.92/108.00 ( ( in @ X10 @ X4 ) => 828.92/108.00 ( ![X12:$i]: 828.92/108.00 ( ( in @ X12 @ X6 ) => 828.92/108.00 ( ( in @ 828.92/108.00 ( kpair @ X10 @ X12 ) @ 828.92/108.00 ( dpsetconstr @ 828.92/108.00 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) ) => 828.92/108.00 ( X8 @ X10 @ X12 ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(dpsetconstrSub, axiom, dpsetconstrSub = 828.92/108.00 (![A:$i,B:$i,Xphi:( $i > $i > $o )]: 828.92/108.00 ( subset @ 828.92/108.00 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) @ 828.92/108.00 ( cartprod @ A @ B ) ))). 828.92/108.00 thf('23', plain, 828.92/108.00 (( dpsetconstrSub ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:( $i > $i > $o )]: 828.92/108.00 ( subset @ 828.92/108.00 ( dpsetconstr @ X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) @ 828.92/108.00 ( cartprod @ X4 @ X6 ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(dpsetconstrI, axiom, dpsetconstrI = 828.92/108.00 (![A:$i,B:$i,Xphi:( $i > $i > $o ),Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( ![Xy:$i]: 828.92/108.00 ( ( in @ Xy @ B ) => 828.92/108.00 ( ( Xphi @ Xx @ Xy ) => 828.92/108.00 ( in @ 828.92/108.00 ( kpair @ Xx @ Xy ) @ 828.92/108.00 ( dpsetconstr @ A @ B @ ( ^[Xz:$i,Xu:$i]: ( Xphi @ Xz @ Xu ) ) ) ) ) ) ) ))). 828.92/108.00 thf('24', plain, 828.92/108.00 (( dpsetconstrI ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:( $i > $i > $o ),X10:$i]: 828.92/108.00 ( ( in @ X10 @ X4 ) => 828.92/108.00 ( ![X12:$i]: 828.92/108.00 ( ( in @ X12 @ X6 ) => 828.92/108.00 ( ( X8 @ X10 @ X12 ) => 828.92/108.00 ( in @ 828.92/108.00 ( kpair @ X10 @ X12 ) @ 828.92/108.00 ( dpsetconstr @ 828.92/108.00 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(cartprodmempaircEq, axiom, cartprodmempaircEq = 828.92/108.00 (![A:$i,B:$i,Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => 828.92/108.00 ( ![Xy:$i]: 828.92/108.00 ( ( in @ Xy @ B ) => ( ( kpair @ Xx @ Xy ) = ( kpair @ Xx @ Xy ) ) ) ) ))). 828.92/108.00 thf('25', plain, 828.92/108.00 (( cartprodmempaircEq ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( in @ X8 @ X4 ) => 828.92/108.00 ( ![X10:$i]: 828.92/108.00 ( ( in @ X10 @ X6 ) => 828.92/108.00 ( ( kpair @ X8 @ X10 ) = ( kpair @ X8 @ X10 ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(setukpairinjR, axiom, setukpairinjR = 828.92/108.00 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 828.92/108.00 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xy ) = ( Xu ) ) ))). 828.92/108.00 thf('26', plain, 828.92/108.00 (( setukpairinjR ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 828.92/108.00 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 828.92/108.00 ( ( X6 ) = ( X10 ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(setukpairinjL, axiom, setukpairinjL = 828.92/108.00 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 828.92/108.00 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xx ) = ( Xz ) ) ))). 828.92/108.00 thf('27', plain, 828.92/108.00 (( setukpairinjL ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 828.92/108.00 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 828.92/108.00 ( ( X4 ) = ( X8 ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(notequalI2, axiom, notequalI2 = 828.92/108.00 (![A:$i,B:$i,Xx:$i]: 828.92/108.00 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))). 828.92/108.00 thf('28', plain, 828.92/108.00 (( notequalI2 ) = 828.92/108.00 ( ![X4:$i,X6:$i,X8:$i]: 828.92/108.00 ( ( in @ X8 @ X4 ) => 828.92/108.00 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(in__Cong, axiom, in__Cong = 828.92/108.00 (![A:$i,B:$i]: 828.92/108.00 ( ( ( A ) = ( B ) ) => 828.92/108.00 ( ![Xx:$i,Xy:$i]: 828.92/108.00 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))). 828.92/108.00 thf('29', plain, 828.92/108.00 (( in__Cong ) = 828.92/108.00 ( ![X4:$i,X6:$i]: 828.92/108.00 ( ( ( X4 ) = ( X6 ) ) => 828.92/108.00 ( ![X8:$i,X10:$i]: 828.92/108.00 ( ( ( X8 ) = ( X10 ) ) => 828.92/108.00 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(inCongP, axiom, inCongP = 828.92/108.00 (![A:$i,B:$i]: 828.92/108.00 ( ( ( A ) = ( B ) ) => 828.92/108.00 ( ![Xx:$i,Xy:$i]: 828.92/108.00 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))). 828.92/108.00 thf('30', plain, 828.92/108.00 (( inCongP ) = 828.92/108.00 ( ![X4:$i,X6:$i]: 828.92/108.00 ( ( ( X4 ) = ( X6 ) ) => 828.92/108.00 ( ![X8:$i,X10:$i]: 828.92/108.00 ( ( ( X8 ) = ( X10 ) ) => 828.92/108.00 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(notdallE, axiom, notdallE = 828.92/108.00 (![A:$i,Xphi:( $i > $o )]: 828.92/108.00 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 828.92/108.00 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 828.92/108.00 thf('31', plain, 828.92/108.00 (( notdallE ) = 828.92/108.00 ( ![X4:$i,X6:( $i > $o )]: 828.92/108.00 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 828.92/108.00 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(notdexE, axiom, notdexE = 828.92/108.00 (![A:$i,Xphi:( $i > $o )]: 828.92/108.00 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 828.92/108.00 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 828.92/108.00 thf('32', plain, 828.92/108.00 (( notdexE ) = 828.92/108.00 ( ![X4:$i,X6:( $i > $o )]: 828.92/108.00 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 828.92/108.00 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(quantDeMorgan4, axiom, quantDeMorgan4 = 828.92/108.00 (![A:$i,Xphi:( $i > $o )]: 828.92/108.00 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) => 828.92/108.00 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))). 828.92/108.00 thf('33', plain, 828.92/108.00 (( quantDeMorgan4 ) = 828.92/108.00 ( ![X4:$i,X6:( $i > $o )]: 828.92/108.00 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) => 828.92/108.00 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(quantDeMorgan3, axiom, quantDeMorgan3 = 828.92/108.00 (![A:$i,Xphi:( $i > $o )]: 828.92/108.00 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 828.92/108.00 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 828.92/108.00 thf('34', plain, 828.92/108.00 (( quantDeMorgan3 ) = 828.92/108.00 ( ![X4:$i,X6:( $i > $o )]: 828.92/108.00 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 828.92/108.00 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(quantDeMorgan2, axiom, quantDeMorgan2 = 828.92/108.00 (![A:$i,Xphi:( $i > $o )]: 828.92/108.00 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) => 828.92/108.00 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))). 828.92/108.00 thf('35', plain, 828.92/108.00 (( quantDeMorgan2 ) = 828.92/108.00 ( ![X4:$i,X6:( $i > $o )]: 828.92/108.00 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) => 828.92/108.00 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(quantDeMorgan1, axiom, quantDeMorgan1 = 828.92/108.00 (![A:$i,Xphi:( $i > $o )]: 828.92/108.00 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 828.92/108.00 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 828.92/108.00 thf('36', plain, 828.92/108.00 (( quantDeMorgan1 ) = 828.92/108.00 ( ![X4:$i,X6:( $i > $o )]: 828.92/108.00 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 828.92/108.00 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(setext, axiom, setext = 828.92/108.00 (![A:$i,B:$i]: 828.92/108.00 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 828.92/108.00 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 828.92/108.00 ( ( A ) = ( B ) ) ) ))). 828.92/108.00 thf('37', plain, 828.92/108.00 (( setext ) = 828.92/108.00 ( ![X4:$i,X6:$i]: 828.92/108.00 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 828.92/108.00 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) => 828.92/108.00 ( ( X4 ) = ( X6 ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(wellorderingAx, axiom, wellorderingAx = 828.92/108.00 (![A:$i]: 828.92/108.00 ( ?[B:$i]: 828.92/108.00 ( ( ![C:$i]: 828.92/108.00 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) & 828.92/108.00 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) => 828.92/108.00 ( ?[D:$i,Xx:$i]: 828.92/108.00 ( ( ![E:$i]: 828.92/108.00 ( ( in @ E @ B ) => 828.92/108.00 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) | 828.92/108.00 ( in @ Xx @ E ) ) ) ) & 828.92/108.00 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) & 828.92/108.00 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) & 828.92/108.00 ( ![C:$i,D:$i]: 828.92/108.00 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) => 828.92/108.00 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) | 828.92/108.00 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) & 828.92/108.00 ( ![Xx:$i,Xy:$i]: 828.92/108.00 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) => 828.92/108.00 ( ( ![C:$i]: 828.92/108.00 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) => 828.92/108.00 ( ( Xx ) = ( Xy ) ) ) ) ) & 828.92/108.00 ( ![C:$i]: 828.92/108.00 ( ( in @ C @ B ) => 828.92/108.00 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))). 828.92/108.00 thf('38', plain, 828.92/108.00 (( wellorderingAx ) = 828.92/108.00 ( ![X4:$i]: 828.92/108.00 ( ?[X6:$i]: 828.92/108.00 ( ( ![X8:$i]: 828.92/108.00 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) & 828.92/108.00 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) => 828.92/108.00 ( ?[X14:$i,X16:$i]: 828.92/108.00 ( ( ![X18:$i]: 828.92/108.00 ( ( in @ X18 @ X6 ) => 828.92/108.00 ( ( ![X20:$i]: 828.92/108.00 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) | 828.92/108.00 ( in @ X16 @ X18 ) ) ) ) & 828.92/108.00 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) & 828.92/108.00 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) & 828.92/108.00 ( ![X24:$i,X26:$i]: 828.92/108.00 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) => 828.92/108.00 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) | 828.92/108.00 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) & 828.92/108.00 ( ![X32:$i,X34:$i]: 828.92/108.00 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) => 828.92/108.00 ( ( ![X36:$i]: 828.92/108.00 ( ( in @ X36 @ X6 ) => 828.92/108.00 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) => 828.92/108.00 ( ( X32 ) = ( X34 ) ) ) ) ) & 828.92/108.00 ( ![X38:$i]: 828.92/108.00 ( ( in @ X38 @ X6 ) => 828.92/108.00 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(foundationAx, axiom, foundationAx = 828.92/108.00 (![A:$i]: 828.92/108.00 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => 828.92/108.00 ( ?[B:$i]: 828.92/108.00 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) & 828.92/108.00 ( in @ B @ A ) ) ) ))). 828.92/108.00 thf('39', plain, 828.92/108.00 (( foundationAx ) = 828.92/108.00 ( ![X4:$i]: 828.92/108.00 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => 828.92/108.00 ( ?[X8:$i]: 828.92/108.00 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) & 828.92/108.00 ( in @ X8 @ X4 ) ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(setextAx, axiom, setextAx = 828.92/108.00 (![A:$i,B:$i]: 828.92/108.00 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) => 828.92/108.00 ( ( A ) = ( B ) ) ))). 828.92/108.00 thf('40', plain, 828.92/108.00 (( setextAx ) = 828.92/108.00 ( ![X4:$i,X6:$i]: 828.92/108.00 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 828.92/108.00 ( ( X4 ) = ( X6 ) ) ) )), 828.92/108.00 define([status(thm)])). 828.92/108.00 thf(beta1, conjecture, 828.92/108.00 (( setextAx ) => 828.92/108.00 ( ( emptysetAx ) => 828.92/108.00 ( ( setadjoinAx ) => 828.92/108.00 ( ( powersetAx ) => 828.92/108.00 ( ( setunionAx ) => 828.92/108.00 ( ( omega0Ax ) => 828.92/108.00 ( ( omegaSAx ) => 828.92/108.00 ( ( omegaIndAx ) => 828.92/108.00 ( ( replAx ) => 828.92/108.00 ( ( foundationAx ) => 828.92/108.00 ( ( wellorderingAx ) => 828.92/108.00 ( ( descrp ) => 828.92/108.00 ( ( dsetconstrI ) => 828.92/108.00 ( ( dsetconstrEL ) => 828.92/108.00 ( ( dsetconstrER ) => 828.92/108.00 ( ( exuE1 ) => 828.92/108.00 ( ( prop2setE ) => 828.92/108.00 ( ( emptysetE ) => 828.92/108.00 ( ( emptysetimpfalse ) => 828.92/108.00 ( ( notinemptyset ) => 828.92/108.00 ( ( exuE3e ) => 828.92/108.00 ( ( setext ) => 828.92/108.00 ( ( emptyI ) => 828.92/108.00 ( ( noeltsimpempty ) => 828.92/108.00 ( ( setbeta ) => 828.92/108.00 ( ( nonemptyE1 ) => 828.92/108.00 ( ( nonemptyI ) => 828.92/108.00 ( ( nonemptyI1 ) => 828.92/108.00 ( ( setadjoinIL ) => 828.92/108.00 ( ( emptyinunitempty ) => 828.92/108.00 ( ( setadjoinIR ) => 828.92/108.00 ( ( setadjoinE ) => 828.92/108.00 ( ( 828.92/108.00 setadjoinOr ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setoftrueEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 powersetI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 emptyinPowerset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 emptyInPowerset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 powersetE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunionI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunionE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subPowSU ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exuE2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 nonemptyImpWitness ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 uniqinunit ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 notinsingleton ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 eqinunit ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 singletonsswitch ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairsetE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairsetIL ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairsetIR ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 emptyE1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 vacuousDall ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 quantDeMorgan1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 quantDeMorgan2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 quantDeMorgan3 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 quantDeMorgan4 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 prop2setI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 prop2set2propI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 notdexE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 notdallE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exuI1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exuI3 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exuI2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 inCongP ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exuE3u ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exu__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 emptyset__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setadjoin__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 powerset__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunion__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 omega__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exuEu ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 descr__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 dsetconstr__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetI1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 eqimpsubset2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 eqimpsubset1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetI2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 emptysetsubset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetE2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 notsubsetI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 notequalI1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 notequalI2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetRefl ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetTrans ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setadjoinSub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setadjoinSub2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subset2powerset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setextsub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetemptysetimpeq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 powersetI1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 powersetE1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 inPowerset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 powersetsubset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 sepInPowerset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 sepSubset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binunionIL ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairset2IR ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binunionIR ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binunionEcases ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binunionE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binunionLsub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binunionRsub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectSubset5 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectEL ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectLsub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectSubset2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectSubset3 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectER ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 disjointsetsI1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectRsub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectSubset4 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectSubset1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 bs114d ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusEL ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusER ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusSubset2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusERneg ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusELneg ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusILneg ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusIRneg ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusLsub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusSubset1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 symdiffE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 symdiffI1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 symdiffI2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 symdiffIneg1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 symdiffIneg2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 secondinupair ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairIL ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairIR ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 kpairiskpair ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 kpairp ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 singletonsubset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 singletoninpowerset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 singletoninpowunion ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairset2E ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairsubunion ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairinpowunion ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ubforcartprodlem1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ubforcartprodlem2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ubforcartprodlem3 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodpairin ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodmempair1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodmempair ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunionE2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunionsingleton1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunionsingleton2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunionsingleton ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 singletonprop ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ex1E1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ex1I ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ex1I2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 singletonsuniq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjL1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 kfstsingleton ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 theprop ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 kfstpairEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodfstin ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjL2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjL ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjR11 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjR12 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjR1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairequniteq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjR2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjR ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ksndsingleton ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ksndpairEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 kpairsurjEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodsndin ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodpairmemEL ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodpairmemER ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodmempaircEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodfstpairEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodsndpairEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodpairsurjEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 dpsetconstrI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 dpsetconstrSub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setOfPairsIsBReln ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 dpsetconstrERa ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 dpsetconstrEL1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 dpsetconstrEL2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 dpsetconstrER ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 funcImageSingleton ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 apProp ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 app ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 infuncsetfunc ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ap2p ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 funcinfuncset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 lamProp ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 lamp ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 lam2p ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 brelnall1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 brelnall2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ex1E2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 funcGraphProp1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 funcGraphProp3 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 funcGraphProp2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 funcextLem ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 funcGraphProp4 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subbreln ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 eqbreln ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 funcext ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 funcext2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ap2apEq1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ap2apEq2 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 A:$i,B:$i, 828.92/108.00 Xf:( 828.92/108.00 $i > $i )]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 Xx:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 Xx @ A ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 Xf @ Xx ) @ 828.92/108.00 B ) ) ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 Xx:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 Xx @ A ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 A @ B @ 828.92/108.00 ( 828.92/108.00 lam @ 828.92/108.00 A @ B @ 828.92/108.00 ( 828.92/108.00 ^[ 828.92/108.00 Xy:$i]: 828.92/108.00 ( 828.92/108.00 Xf @ Xy ) ) ) @ 828.92/108.00 Xx ) = 828.92/108.00 ( 828.92/108.00 Xf @ Xx ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 828.92/108.00 thf(zf_stmt_0, conjecture, 828.92/108.00 (( ![X4:$i,X6:$i]: 828.92/108.00 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 828.92/108.00 ( ( X4 ) = ( X6 ) ) ) ) => 828.92/108.00 ( ( emptysetAx ) => 828.92/108.00 ( ( setadjoinAx ) => 828.92/108.00 ( ( powersetAx ) => 828.92/108.00 ( ( setunionAx ) => 828.92/108.00 ( ( omega0Ax ) => 828.92/108.00 ( ( omegaSAx ) => 828.92/108.00 ( ( omegaIndAx ) => 828.92/108.00 ( ( replAx ) => 828.92/108.00 ( ( ![X10:$i]: 828.92/108.00 ( ( ?[X12:$i]: ( in @ X12 @ X10 ) ) => 828.92/108.00 ( ?[X14:$i]: 828.92/108.00 ( ( ~( ?[X16:$i]: 828.92/108.00 ( ( in @ X16 @ X10 ) & ( in @ X16 @ X14 ) ) ) ) & 828.92/108.00 ( in @ X14 @ X10 ) ) ) ) ) => 828.92/108.00 ( ( ![X18:$i]: 828.92/108.00 ( ?[X20:$i]: 828.92/108.00 ( ( ![X22:$i]: 828.92/108.00 ( ( ( ![X24:$i]: 828.92/108.00 ( ( in @ X24 @ X22 ) => 828.92/108.00 ( in @ X24 @ X18 ) ) ) & 828.92/108.00 ( ?[X26:$i]: ( in @ X26 @ X22 ) ) ) => 828.92/108.00 ( ?[X28:$i,X30:$i]: 828.92/108.00 ( ( ![X32:$i]: 828.92/108.00 ( ( in @ X32 @ X20 ) => 828.92/108.00 ( ( ![X34:$i]: 828.92/108.00 ( ( in @ X34 @ X32 ) => 828.92/108.00 ( in @ X34 @ X28 ) ) ) | 828.92/108.00 ( in @ X30 @ X32 ) ) ) ) & 828.92/108.00 ( ~( ?[X36:$i]: 828.92/108.00 ( ( in @ X36 @ X22 ) & 828.92/108.00 ( in @ X36 @ X28 ) ) ) ) & 828.92/108.00 ( in @ X30 @ X22 ) & ( in @ X28 @ X20 ) ) ) ) ) & 828.92/108.00 ( ![X38:$i,X40:$i]: 828.92/108.00 ( ( ( in @ X38 @ X20 ) & ( in @ X40 @ X20 ) ) => 828.92/108.00 ( ( ![X42:$i]: 828.92/108.00 ( ( in @ X42 @ X38 ) => 828.92/108.00 ( in @ X42 @ X40 ) ) ) | 828.92/108.00 ( ![X44:$i]: 828.92/108.00 ( ( in @ X44 @ X40 ) => 828.92/108.00 ( in @ X44 @ X38 ) ) ) ) ) ) & 828.92/108.00 ( ![X46:$i,X48:$i]: 828.92/108.00 ( ( ( in @ X46 @ X18 ) & ( in @ X48 @ X18 ) ) => 828.92/108.00 ( ( ![X50:$i]: 828.92/108.00 ( ( in @ X50 @ X20 ) => 828.92/108.00 ( ( in @ X46 @ X50 ) <=> 828.92/108.00 ( in @ X48 @ X50 ) ) ) ) => 828.92/108.00 ( ( X46 ) = ( X48 ) ) ) ) ) & 828.92/108.00 ( ![X52:$i]: 828.92/108.00 ( ( in @ X52 @ X20 ) => 828.92/108.00 ( ![X54:$i]: 828.92/108.00 ( ( in @ X54 @ X52 ) => ( in @ X54 @ X18 ) ) ) ) ) ) ) ) => 828.92/108.00 ( ( descrp ) => 828.92/108.00 ( ( dsetconstrI ) => 828.92/108.00 ( ( dsetconstrEL ) => 828.92/108.00 ( ( dsetconstrER ) => 828.92/108.00 ( ( exuE1 ) => 828.92/108.00 ( ( prop2setE ) => 828.92/108.00 ( ( emptysetE ) => 828.92/108.00 ( ( emptysetimpfalse ) => 828.92/108.00 ( ( notinemptyset ) => 828.92/108.00 ( ( exuE3e ) => 828.92/108.00 ( ( ![X56:$i,X58:$i]: 828.92/108.00 ( ( ![X60:$i]: 828.92/108.00 ( ( in @ X60 @ X56 ) => 828.92/108.00 ( in @ X60 @ X58 ) ) ) => 828.92/108.00 ( ( ![X62:$i]: 828.92/108.00 ( ( in @ X62 @ X58 ) => 828.92/108.00 ( in @ X62 @ X56 ) ) ) => 828.92/108.00 ( ( X56 ) = ( X58 ) ) ) ) ) => 828.92/108.00 ( ( emptyI ) => 828.92/108.00 ( ( noeltsimpempty ) => 828.92/108.00 ( ( setbeta ) => 828.92/108.00 ( ( nonemptyE1 ) => 828.92/108.00 ( ( nonemptyI ) => 828.92/108.00 ( ( nonemptyI1 ) => 828.92/108.00 ( ( setadjoinIL ) => 828.92/108.00 ( ( emptyinunitempty ) => 828.92/108.00 ( ( setadjoinIR ) => 828.92/108.00 ( ( setadjoinE ) => 828.92/108.00 ( ( 828.92/108.00 setadjoinOr ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setoftrueEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 powersetI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 emptyinPowerset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 emptyInPowerset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 powersetE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunionI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunionE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subPowSU ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exuE2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 nonemptyImpWitness ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 uniqinunit ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 notinsingleton ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 eqinunit ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 singletonsswitch ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairsetE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairsetIL ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairsetIR ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 emptyE1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 vacuousDall ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X64:$i, 828.92/108.00 X66:( 828.92/108.00 $i > $o )]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ~( 828.92/108.00 ![ 828.92/108.00 X68:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X68 @ X64 ) => 828.92/108.00 ( 828.92/108.00 X66 @ X68 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ?[ 828.92/108.00 X70:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ~( 828.92/108.00 X66 @ X70 ) ) & 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X70 @ X64 ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X72:$i, 828.92/108.00 X74:( 828.92/108.00 $i > $o )]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X76:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X76 @ X72 ) => 828.92/108.00 ( 828.92/108.00 ~( 828.92/108.00 X74 @ X76 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ~( 828.92/108.00 ?[ 828.92/108.00 X78:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X74 @ X78 ) & 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X78 @ X72 ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X80:$i, 828.92/108.00 X82:( 828.92/108.00 $i > $o )]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ~( 828.92/108.00 ?[ 828.92/108.00 X84:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X82 @ X84 ) & 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X84 @ X80 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X86:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X86 @ X80 ) => 828.92/108.00 ( 828.92/108.00 ~( 828.92/108.00 X82 @ X86 ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X88:$i, 828.92/108.00 X90:( 828.92/108.00 $i > $o )]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ?[ 828.92/108.00 X92:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ~( 828.92/108.00 X90 @ X92 ) ) & 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X92 @ X88 ) ) ) => 828.92/108.00 ( 828.92/108.00 ~( 828.92/108.00 ![ 828.92/108.00 X94:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X94 @ X88 ) => 828.92/108.00 ( 828.92/108.00 X90 @ X94 ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 prop2setI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 prop2set2propI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X96:$i, 828.92/108.00 X98:( 828.92/108.00 $i > $o )]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ~( 828.92/108.00 ?[ 828.92/108.00 X100:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X98 @ 828.92/108.00 X100 ) & 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X100 @ 828.92/108.00 X96 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X102:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X102 @ X96 ) => 828.92/108.00 ( 828.92/108.00 ~( 828.92/108.00 X98 @ 828.92/108.00 X102 ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X104:$i, 828.92/108.00 X106:( 828.92/108.00 $i > $o )]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ~( 828.92/108.00 ![ 828.92/108.00 X108:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X108 @ 828.92/108.00 X104 ) => 828.92/108.00 ( 828.92/108.00 X106 @ 828.92/108.00 X108 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ?[ 828.92/108.00 X110:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ~( 828.92/108.00 X106 @ 828.92/108.00 X110 ) ) & 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X110 @ 828.92/108.00 X104 ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exuI1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exuI3 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exuI2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X112:$i, 828.92/108.00 X114:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X112 ) = 828.92/108.00 ( 828.92/108.00 X114 ) ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X116:$i, 828.92/108.00 X118:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X116 ) = 828.92/108.00 ( 828.92/108.00 X118 ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X116 @ 828.92/108.00 X112 ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X118 @ 828.92/108.00 X114 ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X120:$i, 828.92/108.00 X122:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X120 ) = 828.92/108.00 ( 828.92/108.00 X122 ) ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X124:$i, 828.92/108.00 X126:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X124 ) = 828.92/108.00 ( 828.92/108.00 X126 ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X124 @ 828.92/108.00 X120 ) <=> 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X126 @ 828.92/108.00 X122 ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exuE3u ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exu__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 emptyset__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setadjoin__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 powerset__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunion__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 omega__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 exuEu ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 descr__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 dsetconstr__Cong ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetI1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 eqimpsubset2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 eqimpsubset1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetI2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 emptysetsubset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetE2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 notsubsetI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 notequalI1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X128:$i, 828.92/108.00 X130:$i, 828.92/108.00 X132:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X132 @ 828.92/108.00 X128 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ~( 828.92/108.00 in @ 828.92/108.00 X132 @ 828.92/108.00 X130 ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X128 ) != 828.92/108.00 ( 828.92/108.00 X130 ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetRefl ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetTrans ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setadjoinSub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setadjoinSub2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subset2powerset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setextsub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subsetemptysetimpeq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 powersetI1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 powersetE1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 inPowerset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 powersetsubset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 sepInPowerset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 sepSubset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binunionIL ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairset2IR ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binunionIR ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binunionEcases ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binunionE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binunionLsub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binunionRsub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectSubset5 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectEL ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectLsub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectSubset2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectSubset3 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectER ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 disjointsetsI1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectRsub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectSubset4 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 binintersectSubset1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 bs114d ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusEL ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusER ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusSubset2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusERneg ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusELneg ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusILneg ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusIRneg ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusLsub ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setminusSubset1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 symdiffE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 symdiffI1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 symdiffI2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 symdiffIneg1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 symdiffIneg2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 secondinupair ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairIL ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairIR ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 kpairiskpair ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 kpairp ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 singletonsubset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 singletoninpowerset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 singletoninpowunion ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairset2E ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairsubunion ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairinpowunion ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ubforcartprodlem1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ubforcartprodlem2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ubforcartprodlem3 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodpairin ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodmempair1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodmempair ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunionE2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunionsingleton1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunionsingleton2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setunionsingleton ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 singletonprop ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ex1E1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ex1I ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ex1I2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 singletonsuniq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjL1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 kfstsingleton ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 theprop ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 kfstpairEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodfstin ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjL2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X134:$i, 828.92/108.00 X136:$i, 828.92/108.00 X138:$i, 828.92/108.00 X140:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X134 @ 828.92/108.00 X136 ) = 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X138 @ 828.92/108.00 X140 ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X134 ) = 828.92/108.00 ( 828.92/108.00 X138 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjR11 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjR12 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjR1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 upairequniteq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setukpairinjR2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X142:$i, 828.92/108.00 X144:$i, 828.92/108.00 X146:$i, 828.92/108.00 X148:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X142 @ 828.92/108.00 X144 ) = 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X146 @ 828.92/108.00 X148 ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X144 ) = 828.92/108.00 ( 828.92/108.00 X148 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ksndsingleton ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ksndpairEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 kpairsurjEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodsndin ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodpairmemEL ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodpairmemER ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X150:$i, 828.92/108.00 X152:$i, 828.92/108.00 X154:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X154 @ 828.92/108.00 X150 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X156:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X156 @ 828.92/108.00 X152 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X154 @ 828.92/108.00 X156 ) = 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X154 @ 828.92/108.00 X156 ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodfstpairEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodsndpairEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 cartprodpairsurjEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X158:$i, 828.92/108.00 X160:$i, 828.92/108.00 X162:( 828.92/108.00 $i > $i > 828.92/108.00 $o ), 828.92/108.00 X164:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X164 @ 828.92/108.00 X158 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X166:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X166 @ 828.92/108.00 X160 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X162 @ 828.92/108.00 X164 @ 828.92/108.00 X166 ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X164 @ 828.92/108.00 X166 ) @ 828.92/108.00 ( 828.92/108.00 dpsetconstr 828.92/108.00 @ 828.92/108.00 X158 @ 828.92/108.00 X160 @ 828.92/108.00 ( 828.92/108.00 ^[ 828.92/108.00 V_1:$i, 828.92/108.00 V_2:$i]: 828.92/108.00 ( 828.92/108.00 X162 @ 828.92/108.00 V_1 @ V_2 ) ) ) ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X168:$i, 828.92/108.00 X170:$i, 828.92/108.00 X172:( 828.92/108.00 $i > $i > 828.92/108.00 $o )]: 828.92/108.00 ( 828.92/108.00 subset @ 828.92/108.00 ( 828.92/108.00 dpsetconstr 828.92/108.00 @ 828.92/108.00 X168 @ 828.92/108.00 X170 @ 828.92/108.00 ( 828.92/108.00 ^[ 828.92/108.00 V_3:$i, 828.92/108.00 V_4:$i]: 828.92/108.00 ( 828.92/108.00 X172 @ 828.92/108.00 V_3 @ V_4 ) ) ) @ 828.92/108.00 ( 828.92/108.00 cartprod @ 828.92/108.00 X168 @ 828.92/108.00 X170 ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setOfPairsIsBReln ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X174:$i, 828.92/108.00 X176:$i, 828.92/108.00 X178:( 828.92/108.00 $i > $i > 828.92/108.00 $o ), 828.92/108.00 X180:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X180 @ 828.92/108.00 X174 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X182:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X182 @ 828.92/108.00 X176 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X180 @ 828.92/108.00 X182 ) @ 828.92/108.00 ( 828.92/108.00 dpsetconstr 828.92/108.00 @ 828.92/108.00 X174 @ 828.92/108.00 X176 @ 828.92/108.00 ( 828.92/108.00 ^[ 828.92/108.00 V_5:$i, 828.92/108.00 V_6:$i]: 828.92/108.00 ( 828.92/108.00 X178 @ 828.92/108.00 V_5 @ V_6 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 X178 @ 828.92/108.00 X180 @ 828.92/108.00 X182 ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X184:$i, 828.92/108.00 X186:$i, 828.92/108.00 X188:( 828.92/108.00 $i > $i > 828.92/108.00 $o ), 828.92/108.00 X190:$i, 828.92/108.00 X192:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X190 @ 828.92/108.00 X192 ) @ 828.92/108.00 ( 828.92/108.00 dpsetconstr 828.92/108.00 @ 828.92/108.00 X184 @ 828.92/108.00 X186 @ 828.92/108.00 ( 828.92/108.00 ^[ 828.92/108.00 V_7:$i, 828.92/108.00 V_8:$i]: 828.92/108.00 ( 828.92/108.00 X188 @ 828.92/108.00 V_7 @ V_8 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X190 @ 828.92/108.00 X184 ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X194:$i, 828.92/108.00 X196:$i, 828.92/108.00 X198:( 828.92/108.00 $i > $i > 828.92/108.00 $o ), 828.92/108.00 X200:$i, 828.92/108.00 X202:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X200 @ 828.92/108.00 X202 ) @ 828.92/108.00 ( 828.92/108.00 dpsetconstr 828.92/108.00 @ 828.92/108.00 X194 @ 828.92/108.00 X196 @ 828.92/108.00 ( 828.92/108.00 ^[ 828.92/108.00 V_9:$i, 828.92/108.00 V_10:$i]: 828.92/108.00 ( 828.92/108.00 X198 @ 828.92/108.00 V_9 @ V_10 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X202 @ 828.92/108.00 X196 ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X204:$i, 828.92/108.00 X206:$i, 828.92/108.00 X208:( 828.92/108.00 $i > $i > 828.92/108.00 $o ), 828.92/108.00 X210:$i, 828.92/108.00 X212:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X210 @ 828.92/108.00 X212 ) @ 828.92/108.00 ( 828.92/108.00 dpsetconstr 828.92/108.00 @ 828.92/108.00 X204 @ 828.92/108.00 X206 @ 828.92/108.00 ( 828.92/108.00 ^[ 828.92/108.00 V_11:$i, 828.92/108.00 V_12:$i]: 828.92/108.00 ( 828.92/108.00 X208 @ 828.92/108.00 V_11 @ 828.92/108.00 V_12 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 X208 @ 828.92/108.00 X210 @ 828.92/108.00 X212 ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 funcImageSingleton ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X214:$i, 828.92/108.00 X216:$i, 828.92/108.00 X218:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 func @ 828.92/108.00 X214 @ 828.92/108.00 X216 @ 828.92/108.00 X218 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X220:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X220 @ 828.92/108.00 X214 ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 setunion @ 828.92/108.00 ( 828.92/108.00 dsetconstr 828.92/108.00 @ 828.92/108.00 X216 @ 828.92/108.00 ( 828.92/108.00 ^[ 828.92/108.00 V_13:$i]: 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X220 @ 828.92/108.00 V_13 ) @ 828.92/108.00 X218 ) ) ) ) @ 828.92/108.00 X216 ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X222:$i, 828.92/108.00 X224:$i, 828.92/108.00 X226:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 func @ 828.92/108.00 X222 @ 828.92/108.00 X224 @ 828.92/108.00 X226 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X228:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X228 @ 828.92/108.00 X222 ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X222 @ 828.92/108.00 X224 @ 828.92/108.00 X226 @ 828.92/108.00 X228 ) @ 828.92/108.00 X224 ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X230:$i, 828.92/108.00 X232:$i, 828.92/108.00 X234:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X234 @ 828.92/108.00 ( 828.92/108.00 funcSet @ 828.92/108.00 X230 @ 828.92/108.00 X232 ) ) => 828.92/108.00 ( 828.92/108.00 func @ 828.92/108.00 X230 @ 828.92/108.00 X232 @ 828.92/108.00 X234 ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X236:$i, 828.92/108.00 X238:$i, 828.92/108.00 X240:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X240 @ 828.92/108.00 ( 828.92/108.00 funcSet @ 828.92/108.00 X236 @ 828.92/108.00 X238 ) ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X242:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X242 @ 828.92/108.00 X236 ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X236 @ 828.92/108.00 X238 @ 828.92/108.00 X240 @ 828.92/108.00 X242 ) @ 828.92/108.00 X238 ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X244:$i, 828.92/108.00 X246:$i, 828.92/108.00 X248:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 func @ 828.92/108.00 X244 @ 828.92/108.00 X246 @ 828.92/108.00 X248 ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X248 @ 828.92/108.00 ( 828.92/108.00 funcSet @ 828.92/108.00 X244 @ 828.92/108.00 X246 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X250:$i, 828.92/108.00 X252:$i, 828.92/108.00 X254:( 828.92/108.00 $i > $i )]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X256:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X256 @ 828.92/108.00 X250 ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 X254 @ 828.92/108.00 X256 ) @ 828.92/108.00 X252 ) ) ) => 828.92/108.00 ( 828.92/108.00 func @ 828.92/108.00 X250 @ 828.92/108.00 X252 @ 828.92/108.00 ( 828.92/108.00 dpsetconstr 828.92/108.00 @ 828.92/108.00 X250 @ 828.92/108.00 X252 @ 828.92/108.00 ( 828.92/108.00 ^[ 828.92/108.00 V_14:$i, 828.92/108.00 V_15:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X254 @ 828.92/108.00 V_14 ) = 828.92/108.00 ( 828.92/108.00 V_15 ) ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X258:$i, 828.92/108.00 X260:$i, 828.92/108.00 X262:( 828.92/108.00 $i > $i )]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X264:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X264 @ 828.92/108.00 X258 ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 X262 @ 828.92/108.00 X264 ) @ 828.92/108.00 X260 ) ) ) => 828.92/108.00 ( 828.92/108.00 func @ 828.92/108.00 X258 @ 828.92/108.00 X260 @ 828.92/108.00 ( 828.92/108.00 dpsetconstr 828.92/108.00 @ 828.92/108.00 X258 @ 828.92/108.00 X260 @ 828.92/108.00 ( 828.92/108.00 ^[ 828.92/108.00 V_16:$i, 828.92/108.00 V_17:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X262 @ 828.92/108.00 V_16 ) = 828.92/108.00 ( 828.92/108.00 V_17 ) ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X266:$i, 828.92/108.00 X268:$i, 828.92/108.00 X270:( 828.92/108.00 $i > $i )]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X272:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X272 @ 828.92/108.00 X266 ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 X270 @ 828.92/108.00 X272 ) @ 828.92/108.00 X268 ) ) ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 dpsetconstr 828.92/108.00 @ 828.92/108.00 X266 @ 828.92/108.00 X268 @ 828.92/108.00 ( 828.92/108.00 ^[ 828.92/108.00 V_18:$i, 828.92/108.00 V_19:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X270 @ 828.92/108.00 V_18 ) = 828.92/108.00 ( 828.92/108.00 V_19 ) ) ) ) @ 828.92/108.00 ( 828.92/108.00 funcSet @ 828.92/108.00 X266 @ 828.92/108.00 X268 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 brelnall1 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 brelnall2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ex1E2 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X274:$i, 828.92/108.00 X276:$i, 828.92/108.00 X278:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 func @ 828.92/108.00 X274 @ 828.92/108.00 X276 @ 828.92/108.00 X278 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X280:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X280 @ 828.92/108.00 X274 ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X280 @ 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X274 @ 828.92/108.00 X276 @ 828.92/108.00 X278 @ 828.92/108.00 X280 ) ) @ 828.92/108.00 X278 ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X282:$i, 828.92/108.00 X284:$i, 828.92/108.00 X286:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X286 @ 828.92/108.00 ( 828.92/108.00 funcSet @ 828.92/108.00 X282 @ 828.92/108.00 X284 ) ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X288:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X288 @ 828.92/108.00 X282 ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X288 @ 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X282 @ 828.92/108.00 X284 @ 828.92/108.00 X286 @ 828.92/108.00 X288 ) ) @ 828.92/108.00 X286 ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X290:$i, 828.92/108.00 X292:$i, 828.92/108.00 X294:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 func @ 828.92/108.00 X290 @ 828.92/108.00 X292 @ 828.92/108.00 X294 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X296:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X296 @ 828.92/108.00 X290 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X298:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X298 @ 828.92/108.00 X292 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X296 @ 828.92/108.00 X298 ) @ 828.92/108.00 X294 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X290 @ 828.92/108.00 X292 @ 828.92/108.00 X294 @ 828.92/108.00 X296 ) = 828.92/108.00 ( 828.92/108.00 X298 ) ) ) ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X300:$i, 828.92/108.00 X302:$i, 828.92/108.00 X304:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 func @ 828.92/108.00 X300 @ 828.92/108.00 X302 @ 828.92/108.00 X304 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X306:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 func @ 828.92/108.00 X300 @ 828.92/108.00 X302 @ 828.92/108.00 X306 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X308:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X308 @ 828.92/108.00 X300 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X300 @ 828.92/108.00 X302 @ 828.92/108.00 X304 @ 828.92/108.00 X308 ) = 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X300 @ 828.92/108.00 X302 @ 828.92/108.00 X306 @ 828.92/108.00 X308 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X310:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X310 @ 828.92/108.00 X300 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X312:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X312 @ 828.92/108.00 X302 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X310 @ 828.92/108.00 X312 ) @ 828.92/108.00 X306 ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X310 @ 828.92/108.00 X312 ) @ 828.92/108.00 X304 ) ) ) ) ) ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X314:$i, 828.92/108.00 X316:$i, 828.92/108.00 X318:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X318 @ 828.92/108.00 ( 828.92/108.00 funcSet @ 828.92/108.00 X314 @ 828.92/108.00 X316 ) ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X320:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X320 @ 828.92/108.00 X314 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X322:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X322 @ 828.92/108.00 X316 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 kpair @ 828.92/108.00 X320 @ 828.92/108.00 X322 ) @ 828.92/108.00 X318 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X314 @ 828.92/108.00 X316 @ 828.92/108.00 X318 @ 828.92/108.00 X320 ) = 828.92/108.00 ( 828.92/108.00 X322 ) ) ) ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 subbreln ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 eqbreln ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X324:$i, 828.92/108.00 X326:$i, 828.92/108.00 X328:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 func @ 828.92/108.00 X324 @ 828.92/108.00 X326 @ 828.92/108.00 X328 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X330:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 func @ 828.92/108.00 X324 @ 828.92/108.00 X326 @ 828.92/108.00 X330 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X332:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X332 @ 828.92/108.00 X324 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X324 @ 828.92/108.00 X326 @ 828.92/108.00 X328 @ 828.92/108.00 X332 ) = 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X324 @ 828.92/108.00 X326 @ 828.92/108.00 X330 @ 828.92/108.00 X332 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X328 ) = 828.92/108.00 ( 828.92/108.00 X330 ) ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X334:$i, 828.92/108.00 X336:$i, 828.92/108.00 X338:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X338 @ 828.92/108.00 ( 828.92/108.00 funcSet @ 828.92/108.00 X334 @ 828.92/108.00 X336 ) ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X340:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X340 @ 828.92/108.00 ( 828.92/108.00 funcSet @ 828.92/108.00 X334 @ 828.92/108.00 X336 ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X342:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X342 @ 828.92/108.00 X334 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X334 @ 828.92/108.00 X336 @ 828.92/108.00 X338 @ 828.92/108.00 X342 ) = 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X334 @ 828.92/108.00 X336 @ 828.92/108.00 X340 @ 828.92/108.00 X342 ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X338 ) = 828.92/108.00 ( 828.92/108.00 X340 ) ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X344:$i, 828.92/108.00 X346:$i, 828.92/108.00 X348:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X348 @ 828.92/108.00 ( 828.92/108.00 funcSet @ 828.92/108.00 X344 @ 828.92/108.00 X346 ) ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X350:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X350 @ 828.92/108.00 X344 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X344 @ 828.92/108.00 X346 @ 828.92/108.00 X348 @ 828.92/108.00 X350 ) = 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X344 @ 828.92/108.00 X346 @ 828.92/108.00 X348 @ 828.92/108.00 X350 ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X352:$i, 828.92/108.00 X354:$i, 828.92/108.00 X356:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 func @ 828.92/108.00 X352 @ 828.92/108.00 X354 @ 828.92/108.00 X356 ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X358:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X358 @ 828.92/108.00 X352 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X352 @ 828.92/108.00 X354 @ 828.92/108.00 X356 @ 828.92/108.00 X358 ) = 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X352 @ 828.92/108.00 X354 @ 828.92/108.00 X356 @ 828.92/108.00 X358 ) ) ) ) ) ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X360:$i, 828.92/108.00 X362:$i, 828.92/108.00 X364:( 828.92/108.00 $i > $i )]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X366:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X366 @ 828.92/108.00 X360 ) => 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 ( 828.92/108.00 X364 @ 828.92/108.00 X366 ) @ 828.92/108.00 X362 ) ) ) => 828.92/108.00 ( 828.92/108.00 ![ 828.92/108.00 X368:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 in @ 828.92/108.00 X368 @ 828.92/108.00 X360 ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 ap @ 828.92/108.00 X360 @ 828.92/108.00 X362 @ 828.92/108.00 ( 828.92/108.00 dpsetconstr 828.92/108.00 @ 828.92/108.00 X360 @ 828.92/108.00 X362 @ 828.92/108.00 ( 828.92/108.00 ^[ 828.92/108.00 V_20:$i, 828.92/108.00 V_21:$i]: 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 X364 @ 828.92/108.00 V_20 ) = 828.92/108.00 ( 828.92/108.00 V_21 ) ) ) ) @ 828.92/108.00 X368 ) = 828.92/108.00 ( 828.92/108.00 X364 @ 828.92/108.00 X368 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 828.92/108.00 thf(zf_stmt_1, negated_conjecture, 828.92/108.00 (~( ( ![X4:$i,X6:$i]: 828.92/108.00 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 828.92/108.00 ( ( X4 ) = ( X6 ) ) ) ) => 828.92/108.00 ( ( emptysetAx ) => 828.92/108.00 ( ( setadjoinAx ) => 828.92/108.00 ( ( powersetAx ) => 828.92/108.00 ( ( setunionAx ) => 828.92/108.00 ( ( omega0Ax ) => 828.92/108.00 ( ( omegaSAx ) => 828.92/108.00 ( ( omegaIndAx ) => 828.92/108.00 ( ( replAx ) => 828.92/108.00 ( ( ![X10:$i]: 828.92/108.00 ( ( ?[X12:$i]: ( in @ X12 @ X10 ) ) => 828.92/108.00 ( ?[X14:$i]: 828.92/108.00 ( ( ~( ?[X16:$i]: 828.92/108.00 ( ( in @ X16 @ X10 ) & 828.92/108.00 ( in @ X16 @ X14 ) ) ) ) & 828.92/108.00 ( in @ X14 @ X10 ) ) ) ) ) => 828.92/108.00 ( ( ![X18:$i]: 828.92/108.00 ( ?[X20:$i]: 828.92/108.00 ( ( ![X22:$i]: 828.92/108.00 ( ( ( ![X24:$i]: 828.92/108.00 ( ( in @ X24 @ X22 ) => 828.92/108.00 ( in @ X24 @ X18 ) ) ) & 828.92/108.00 ( ?[X26:$i]: ( in @ X26 @ X22 ) ) ) => 828.92/108.00 ( ?[X28:$i,X30:$i]: 828.92/108.00 ( ( ![X32:$i]: 828.92/108.00 ( ( in @ X32 @ X20 ) => 828.92/108.00 ( ( ![X34:$i]: 828.92/108.00 ( ( in @ X34 @ X32 ) => 828.92/108.00 ( in @ X34 @ X28 ) ) ) | 828.92/108.00 ( in @ X30 @ X32 ) ) ) ) & 828.92/108.00 ( ~( ?[X36:$i]: 828.92/108.00 ( ( in @ X36 @ X22 ) & 828.92/108.00 ( in @ X36 @ X28 ) ) ) ) & 828.92/108.00 ( in @ X30 @ X22 ) & 828.92/108.00 ( in @ X28 @ X20 ) ) ) ) ) & 828.92/108.00 ( ![X38:$i,X40:$i]: 828.92/108.00 ( ( ( in @ X38 @ X20 ) & ( in @ X40 @ X20 ) ) => 828.92/108.00 ( ( ![X42:$i]: 828.92/108.00 ( ( in @ X42 @ X38 ) => 828.92/108.00 ( in @ X42 @ X40 ) ) ) | 828.92/108.00 ( ![X44:$i]: 828.92/108.00 ( ( in @ X44 @ X40 ) => 828.92/108.00 ( in @ X44 @ X38 ) ) ) ) ) ) & 828.92/108.00 ( ![X46:$i,X48:$i]: 828.92/108.00 ( ( ( in @ X46 @ X18 ) & ( in @ X48 @ X18 ) ) => 828.92/108.00 ( ( ![X50:$i]: 828.92/108.00 ( ( in @ X50 @ X20 ) => 828.92/108.00 ( ( in @ X46 @ X50 ) <=> 828.92/108.00 ( in @ X48 @ X50 ) ) ) ) => 828.92/108.00 ( ( X46 ) = ( X48 ) ) ) ) ) & 828.92/108.00 ( ![X52:$i]: 828.92/108.00 ( ( in @ X52 @ X20 ) => 828.92/108.00 ( ![X54:$i]: 828.92/108.00 ( ( in @ X54 @ X52 ) => 828.92/108.00 ( in @ X54 @ X18 ) ) ) ) ) ) ) ) => 828.92/108.00 ( ( descrp ) => 828.92/108.00 ( ( dsetconstrI ) => 828.92/108.00 ( ( dsetconstrEL ) => 828.92/108.00 ( ( dsetconstrER ) => 828.92/108.00 ( ( exuE1 ) => 828.92/108.00 ( ( prop2setE ) => 828.92/108.00 ( ( emptysetE ) => 828.92/108.00 ( ( emptysetimpfalse ) => 828.92/108.00 ( ( notinemptyset ) => 828.92/108.00 ( ( exuE3e ) => 828.92/108.00 ( ( ![X56:$i,X58:$i]: 828.92/108.00 ( ( ![X60:$i]: 828.92/108.00 ( ( in @ X60 @ X56 ) => 828.92/108.00 ( in @ X60 @ X58 ) ) ) => 828.92/108.00 ( ( ![X62:$i]: 828.92/108.00 ( ( in @ X62 @ X58 ) => 828.92/108.00 ( in @ X62 @ X56 ) ) ) => 828.92/108.00 ( ( X56 ) = ( X58 ) ) ) ) ) => 828.92/108.00 ( ( emptyI ) => 828.92/108.00 ( ( noeltsimpempty ) => 828.92/108.00 ( ( setbeta ) => 828.92/108.00 ( ( nonemptyE1 ) => 828.92/108.00 ( ( nonemptyI ) => 828.92/108.00 ( ( nonemptyI1 ) => 828.92/108.00 ( ( setadjoinIL ) => 828.92/108.00 ( ( emptyinunitempty ) => 828.92/108.00 ( ( setadjoinIR ) => 828.92/108.00 ( ( 828.92/108.00 setadjoinE ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setadjoinOr ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 setoftrueEq ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 powersetI ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 emptyinPowerset ) => 828.92/108.00 ( 828.92/108.00 ( 828.92/108.00 emptyInPowerset ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 powersetE ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setunionI ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setunionE ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 subPowSU ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 exuE2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 nonemptyImpWitness ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 uniqinunit ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 notinsingleton ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 eqinunit ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 singletonsswitch ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 upairsetE ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 upairsetIL ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 upairsetIR ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 emptyE1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 vacuousDall ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X64:$i, 828.92/108.01 X66:( 828.92/108.01 $i > $o )]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ~ 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X68:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X68 @ X64 ) => 828.92/108.01 ( 828.92/108.01 X66 @ X68 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ?[ 828.92/108.01 X70:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ~ 828.92/108.01 ( 828.92/108.01 X66 @ X70 ) ) & 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X70 @ X64 ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X72:$i, 828.92/108.01 X74:( 828.92/108.01 $i > $o )]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X76:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X76 @ X72 ) => 828.92/108.01 ( 828.92/108.01 ~ 828.92/108.01 ( 828.92/108.01 X74 @ X76 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ~ 828.92/108.01 ( 828.92/108.01 ?[ 828.92/108.01 X78:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X74 @ X78 ) & 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X78 @ X72 ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X80:$i, 828.92/108.01 X82:( 828.92/108.01 $i > $o )]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ~ 828.92/108.01 ( 828.92/108.01 ?[ 828.92/108.01 X84:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X82 @ X84 ) & 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X84 @ X80 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X86:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X86 @ X80 ) => 828.92/108.01 ( 828.92/108.01 ~ 828.92/108.01 ( 828.92/108.01 X82 @ X86 ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X88:$i, 828.92/108.01 X90:( 828.92/108.01 $i > $o )]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ?[ 828.92/108.01 X92:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ~ 828.92/108.01 ( 828.92/108.01 X90 @ X92 ) ) & 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X92 @ X88 ) ) ) => 828.92/108.01 ( 828.92/108.01 ~ 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X94:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X94 @ X88 ) => 828.92/108.01 ( 828.92/108.01 X90 @ X94 ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 prop2setI ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 prop2set2propI ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X96:$i, 828.92/108.01 X98:( 828.92/108.01 $i > $o )]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ~ 828.92/108.01 ( 828.92/108.01 ?[ 828.92/108.01 X100:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X98 @ 828.92/108.01 X100 ) & 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X100 @ 828.92/108.01 X96 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X102:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X102 @ 828.92/108.01 X96 ) => 828.92/108.01 ( 828.92/108.01 ~ 828.92/108.01 ( 828.92/108.01 X98 @ 828.92/108.01 X102 ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X104:$i, 828.92/108.01 X106:( 828.92/108.01 $i > $o )]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ~ 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X108:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X108 @ 828.92/108.01 X104 ) => 828.92/108.01 ( 828.92/108.01 X106 @ 828.92/108.01 X108 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ?[ 828.92/108.01 X110:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ~ 828.92/108.01 ( 828.92/108.01 X106 @ 828.92/108.01 X110 ) ) & 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X110 @ 828.92/108.01 X104 ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 exuI1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 exuI3 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 exuI2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X112:$i, 828.92/108.01 X114:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X112 ) = 828.92/108.01 ( 828.92/108.01 X114 ) ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X116:$i, 828.92/108.01 X118:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X116 ) = 828.92/108.01 ( 828.92/108.01 X118 ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X116 @ 828.92/108.01 X112 ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X118 @ 828.92/108.01 X114 ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X120:$i, 828.92/108.01 X122:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X120 ) = 828.92/108.01 ( 828.92/108.01 X122 ) ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X124:$i, 828.92/108.01 X126:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X124 ) = 828.92/108.01 ( 828.92/108.01 X126 ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X124 @ 828.92/108.01 X120 ) <=> 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X126 @ 828.92/108.01 X122 ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 exuE3u ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 exu__Cong ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 emptyset__Cong ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setadjoin__Cong ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 powerset__Cong ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setunion__Cong ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 omega__Cong ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 exuEu ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 descr__Cong ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 dsetconstr__Cong ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 subsetI1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 eqimpsubset2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 eqimpsubset1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 subsetI2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 emptysetsubset ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 subsetE ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 subsetE2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 notsubsetI ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 notequalI1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X128:$i, 828.92/108.01 X130:$i, 828.92/108.01 X132:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X132 @ 828.92/108.01 X128 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ~ 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X132 @ 828.92/108.01 X130 ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X128 ) != 828.92/108.01 ( 828.92/108.01 X130 ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 subsetRefl ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 subsetTrans ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setadjoinSub ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setadjoinSub2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 subset2powerset ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setextsub ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 subsetemptysetimpeq ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 powersetI1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 powersetE1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 inPowerset ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 powersetsubset ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 sepInPowerset ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 sepSubset ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binunionIL ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 upairset2IR ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binunionIR ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binunionEcases ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binunionE ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binunionLsub ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binunionRsub ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binintersectI ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binintersectSubset5 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binintersectEL ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binintersectLsub ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binintersectSubset2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binintersectSubset3 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binintersectER ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 disjointsetsI1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binintersectRsub ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binintersectSubset4 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 binintersectSubset1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 bs114d ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setminusI ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setminusEL ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setminusER ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setminusSubset2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setminusERneg ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setminusELneg ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setminusILneg ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setminusIRneg ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setminusLsub ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setminusSubset1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 symdiffE ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 symdiffI1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 symdiffI2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 symdiffIneg1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 symdiffIneg2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 secondinupair ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setukpairIL ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setukpairIR ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 kpairiskpair ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 kpairp ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 singletonsubset ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 singletoninpowerset ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 singletoninpowunion ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 upairset2E ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 upairsubunion ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 upairinpowunion ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ubforcartprodlem1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ubforcartprodlem2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ubforcartprodlem3 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 cartprodpairin ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 cartprodmempair1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 cartprodmempair ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setunionE2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setunionsingleton1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setunionsingleton2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setunionsingleton ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 singletonprop ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ex1E1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ex1I ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ex1I2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 singletonsuniq ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setukpairinjL1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 kfstsingleton ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 theprop ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 kfstpairEq ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 cartprodfstin ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setukpairinjL2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X134:$i, 828.92/108.01 X136:$i, 828.92/108.01 X138:$i, 828.92/108.01 X140:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X134 @ 828.92/108.01 X136 ) = 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X138 @ 828.92/108.01 X140 ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X134 ) = 828.92/108.01 ( 828.92/108.01 X138 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setukpairinjR11 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setukpairinjR12 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setukpairinjR1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 upairequniteq ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setukpairinjR2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X142:$i, 828.92/108.01 X144:$i, 828.92/108.01 X146:$i, 828.92/108.01 X148:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X142 @ 828.92/108.01 X144 ) = 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X146 @ 828.92/108.01 X148 ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X144 ) = 828.92/108.01 ( 828.92/108.01 X148 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ksndsingleton ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ksndpairEq ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 kpairsurjEq ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 cartprodsndin ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 cartprodpairmemEL ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 cartprodpairmemER ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X150:$i, 828.92/108.01 X152:$i, 828.92/108.01 X154:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X154 @ 828.92/108.01 X150 ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X156:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X156 @ 828.92/108.01 X152 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X154 @ 828.92/108.01 X156 ) = 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X154 @ 828.92/108.01 X156 ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 cartprodfstpairEq ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 cartprodsndpairEq ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 cartprodpairsurjEq ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X158:$i, 828.92/108.01 X160:$i, 828.92/108.01 X162:( 828.92/108.01 $i > $i > 828.92/108.01 $o ), 828.92/108.01 X164:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X164 @ 828.92/108.01 X158 ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X166:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X166 @ 828.92/108.01 X160 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X162 @ 828.92/108.01 X164 @ 828.92/108.01 X166 ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X164 @ 828.92/108.01 X166 ) @ 828.92/108.01 ( 828.92/108.01 dpsetconstr 828.92/108.01 @ 828.92/108.01 X158 @ 828.92/108.01 X160 @ 828.92/108.01 ( 828.92/108.01 ^[ 828.92/108.01 V_1:$i, 828.92/108.01 V_2:$i]: 828.92/108.01 ( 828.92/108.01 X162 @ 828.92/108.01 V_1 @ V_2 ) ) ) ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X168:$i, 828.92/108.01 X170:$i, 828.92/108.01 X172:( 828.92/108.01 $i > $i > 828.92/108.01 $o )]: 828.92/108.01 ( 828.92/108.01 subset @ 828.92/108.01 ( 828.92/108.01 dpsetconstr 828.92/108.01 @ 828.92/108.01 X168 @ 828.92/108.01 X170 @ 828.92/108.01 ( 828.92/108.01 ^[ 828.92/108.01 V_3:$i, 828.92/108.01 V_4:$i]: 828.92/108.01 ( 828.92/108.01 X172 @ 828.92/108.01 V_3 @ V_4 ) ) ) @ 828.92/108.01 ( 828.92/108.01 cartprod 828.92/108.01 @ 828.92/108.01 X168 @ 828.92/108.01 X170 ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 setOfPairsIsBReln ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X174:$i, 828.92/108.01 X176:$i, 828.92/108.01 X178:( 828.92/108.01 $i > $i > 828.92/108.01 $o ), 828.92/108.01 X180:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X180 @ 828.92/108.01 X174 ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X182:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X182 @ 828.92/108.01 X176 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X180 @ 828.92/108.01 X182 ) @ 828.92/108.01 ( 828.92/108.01 dpsetconstr 828.92/108.01 @ 828.92/108.01 X174 @ 828.92/108.01 X176 @ 828.92/108.01 ( 828.92/108.01 ^[ 828.92/108.01 V_5:$i, 828.92/108.01 V_6:$i]: 828.92/108.01 ( 828.92/108.01 X178 @ 828.92/108.01 V_5 @ V_6 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 X178 @ 828.92/108.01 X180 @ 828.92/108.01 X182 ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X184:$i, 828.92/108.01 X186:$i, 828.92/108.01 X188:( 828.92/108.01 $i > $i > 828.92/108.01 $o ), 828.92/108.01 X190:$i, 828.92/108.01 X192:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X190 @ 828.92/108.01 X192 ) @ 828.92/108.01 ( 828.92/108.01 dpsetconstr 828.92/108.01 @ 828.92/108.01 X184 @ 828.92/108.01 X186 @ 828.92/108.01 ( 828.92/108.01 ^[ 828.92/108.01 V_7:$i, 828.92/108.01 V_8:$i]: 828.92/108.01 ( 828.92/108.01 X188 @ 828.92/108.01 V_7 @ V_8 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X190 @ 828.92/108.01 X184 ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X194:$i, 828.92/108.01 X196:$i, 828.92/108.01 X198:( 828.92/108.01 $i > $i > 828.92/108.01 $o ), 828.92/108.01 X200:$i, 828.92/108.01 X202:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X200 @ 828.92/108.01 X202 ) @ 828.92/108.01 ( 828.92/108.01 dpsetconstr 828.92/108.01 @ 828.92/108.01 X194 @ 828.92/108.01 X196 @ 828.92/108.01 ( 828.92/108.01 ^[ 828.92/108.01 V_9:$i, 828.92/108.01 V_10:$i]: 828.92/108.01 ( 828.92/108.01 X198 @ 828.92/108.01 V_9 @ 828.92/108.01 V_10 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X202 @ 828.92/108.01 X196 ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X204:$i, 828.92/108.01 X206:$i, 828.92/108.01 X208:( 828.92/108.01 $i > $i > 828.92/108.01 $o ), 828.92/108.01 X210:$i, 828.92/108.01 X212:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X210 @ 828.92/108.01 X212 ) @ 828.92/108.01 ( 828.92/108.01 dpsetconstr 828.92/108.01 @ 828.92/108.01 X204 @ 828.92/108.01 X206 @ 828.92/108.01 ( 828.92/108.01 ^[ 828.92/108.01 V_11:$i, 828.92/108.01 V_12:$i]: 828.92/108.01 ( 828.92/108.01 X208 @ 828.92/108.01 V_11 @ 828.92/108.01 V_12 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 X208 @ 828.92/108.01 X210 @ 828.92/108.01 X212 ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 funcImageSingleton ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X214:$i, 828.92/108.01 X216:$i, 828.92/108.01 X218:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 func @ 828.92/108.01 X214 @ 828.92/108.01 X216 @ 828.92/108.01 X218 ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X220:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X220 @ 828.92/108.01 X214 ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 setunion 828.92/108.01 @ 828.92/108.01 ( 828.92/108.01 dsetconstr 828.92/108.01 @ 828.92/108.01 X216 @ 828.92/108.01 ( 828.92/108.01 ^[ 828.92/108.01 V_13:$i]: 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X220 @ 828.92/108.01 V_13 ) @ 828.92/108.01 X218 ) ) ) ) @ 828.92/108.01 X216 ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X222:$i, 828.92/108.01 X224:$i, 828.92/108.01 X226:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 func @ 828.92/108.01 X222 @ 828.92/108.01 X224 @ 828.92/108.01 X226 ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X228:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X228 @ 828.92/108.01 X222 ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X222 @ 828.92/108.01 X224 @ 828.92/108.01 X226 @ 828.92/108.01 X228 ) @ 828.92/108.01 X224 ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X230:$i, 828.92/108.01 X232:$i, 828.92/108.01 X234:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X234 @ 828.92/108.01 ( 828.92/108.01 funcSet @ 828.92/108.01 X230 @ 828.92/108.01 X232 ) ) => 828.92/108.01 ( 828.92/108.01 func @ 828.92/108.01 X230 @ 828.92/108.01 X232 @ 828.92/108.01 X234 ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X236:$i, 828.92/108.01 X238:$i, 828.92/108.01 X240:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X240 @ 828.92/108.01 ( 828.92/108.01 funcSet @ 828.92/108.01 X236 @ 828.92/108.01 X238 ) ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X242:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X242 @ 828.92/108.01 X236 ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X236 @ 828.92/108.01 X238 @ 828.92/108.01 X240 @ 828.92/108.01 X242 ) @ 828.92/108.01 X238 ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X244:$i, 828.92/108.01 X246:$i, 828.92/108.01 X248:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 func @ 828.92/108.01 X244 @ 828.92/108.01 X246 @ 828.92/108.01 X248 ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X248 @ 828.92/108.01 ( 828.92/108.01 funcSet @ 828.92/108.01 X244 @ 828.92/108.01 X246 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X250:$i, 828.92/108.01 X252:$i, 828.92/108.01 X254:( 828.92/108.01 $i > $i )]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X256:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X256 @ 828.92/108.01 X250 ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 X254 @ 828.92/108.01 X256 ) @ 828.92/108.01 X252 ) ) ) => 828.92/108.01 ( 828.92/108.01 func @ 828.92/108.01 X250 @ 828.92/108.01 X252 @ 828.92/108.01 ( 828.92/108.01 dpsetconstr 828.92/108.01 @ 828.92/108.01 X250 @ 828.92/108.01 X252 @ 828.92/108.01 ( 828.92/108.01 ^[ 828.92/108.01 V_14:$i, 828.92/108.01 V_15:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X254 @ 828.92/108.01 V_14 ) = 828.92/108.01 ( 828.92/108.01 V_15 ) ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X258:$i, 828.92/108.01 X260:$i, 828.92/108.01 X262:( 828.92/108.01 $i > $i )]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X264:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X264 @ 828.92/108.01 X258 ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 X262 @ 828.92/108.01 X264 ) @ 828.92/108.01 X260 ) ) ) => 828.92/108.01 ( 828.92/108.01 func @ 828.92/108.01 X258 @ 828.92/108.01 X260 @ 828.92/108.01 ( 828.92/108.01 dpsetconstr 828.92/108.01 @ 828.92/108.01 X258 @ 828.92/108.01 X260 @ 828.92/108.01 ( 828.92/108.01 ^[ 828.92/108.01 V_16:$i, 828.92/108.01 V_17:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X262 @ 828.92/108.01 V_16 ) = 828.92/108.01 ( 828.92/108.01 V_17 ) ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X266:$i, 828.92/108.01 X268:$i, 828.92/108.01 X270:( 828.92/108.01 $i > $i )]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X272:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X272 @ 828.92/108.01 X266 ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 X270 @ 828.92/108.01 X272 ) @ 828.92/108.01 X268 ) ) ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 dpsetconstr 828.92/108.01 @ 828.92/108.01 X266 @ 828.92/108.01 X268 @ 828.92/108.01 ( 828.92/108.01 ^[ 828.92/108.01 V_18:$i, 828.92/108.01 V_19:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X270 @ 828.92/108.01 V_18 ) = 828.92/108.01 ( 828.92/108.01 V_19 ) ) ) ) @ 828.92/108.01 ( 828.92/108.01 funcSet @ 828.92/108.01 X266 @ 828.92/108.01 X268 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 brelnall1 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 brelnall2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ex1E2 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X274:$i, 828.92/108.01 X276:$i, 828.92/108.01 X278:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 func @ 828.92/108.01 X274 @ 828.92/108.01 X276 @ 828.92/108.01 X278 ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X280:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X280 @ 828.92/108.01 X274 ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X280 @ 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X274 @ 828.92/108.01 X276 @ 828.92/108.01 X278 @ 828.92/108.01 X280 ) ) @ 828.92/108.01 X278 ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X282:$i, 828.92/108.01 X284:$i, 828.92/108.01 X286:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X286 @ 828.92/108.01 ( 828.92/108.01 funcSet @ 828.92/108.01 X282 @ 828.92/108.01 X284 ) ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X288:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X288 @ 828.92/108.01 X282 ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X288 @ 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X282 @ 828.92/108.01 X284 @ 828.92/108.01 X286 @ 828.92/108.01 X288 ) ) @ 828.92/108.01 X286 ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X290:$i, 828.92/108.01 X292:$i, 828.92/108.01 X294:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 func @ 828.92/108.01 X290 @ 828.92/108.01 X292 @ 828.92/108.01 X294 ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X296:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X296 @ 828.92/108.01 X290 ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X298:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X298 @ 828.92/108.01 X292 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X296 @ 828.92/108.01 X298 ) @ 828.92/108.01 X294 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X290 @ 828.92/108.01 X292 @ 828.92/108.01 X294 @ 828.92/108.01 X296 ) = 828.92/108.01 ( 828.92/108.01 X298 ) ) ) ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X300:$i, 828.92/108.01 X302:$i, 828.92/108.01 X304:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 func @ 828.92/108.01 X300 @ 828.92/108.01 X302 @ 828.92/108.01 X304 ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X306:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 func @ 828.92/108.01 X300 @ 828.92/108.01 X302 @ 828.92/108.01 X306 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X308:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X308 @ 828.92/108.01 X300 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X300 @ 828.92/108.01 X302 @ 828.92/108.01 X304 @ 828.92/108.01 X308 ) = 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X300 @ 828.92/108.01 X302 @ 828.92/108.01 X306 @ 828.92/108.01 X308 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X310:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X310 @ 828.92/108.01 X300 ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X312:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X312 @ 828.92/108.01 X302 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X310 @ 828.92/108.01 X312 ) @ 828.92/108.01 X306 ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X310 @ 828.92/108.01 X312 ) @ 828.92/108.01 X304 ) ) ) ) ) ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X314:$i, 828.92/108.01 X316:$i, 828.92/108.01 X318:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X318 @ 828.92/108.01 ( 828.92/108.01 funcSet @ 828.92/108.01 X314 @ 828.92/108.01 X316 ) ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X320:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X320 @ 828.92/108.01 X314 ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X322:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X322 @ 828.92/108.01 X316 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 kpair @ 828.92/108.01 X320 @ 828.92/108.01 X322 ) @ 828.92/108.01 X318 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X314 @ 828.92/108.01 X316 @ 828.92/108.01 X318 @ 828.92/108.01 X320 ) = 828.92/108.01 ( 828.92/108.01 X322 ) ) ) ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 subbreln ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 eqbreln ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X324:$i, 828.92/108.01 X326:$i, 828.92/108.01 X328:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 func @ 828.92/108.01 X324 @ 828.92/108.01 X326 @ 828.92/108.01 X328 ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X330:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 func @ 828.92/108.01 X324 @ 828.92/108.01 X326 @ 828.92/108.01 X330 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X332:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X332 @ 828.92/108.01 X324 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X324 @ 828.92/108.01 X326 @ 828.92/108.01 X328 @ 828.92/108.01 X332 ) = 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X324 @ 828.92/108.01 X326 @ 828.92/108.01 X330 @ 828.92/108.01 X332 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X328 ) = 828.92/108.01 ( 828.92/108.01 X330 ) ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X334:$i, 828.92/108.01 X336:$i, 828.92/108.01 X338:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X338 @ 828.92/108.01 ( 828.92/108.01 funcSet @ 828.92/108.01 X334 @ 828.92/108.01 X336 ) ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X340:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X340 @ 828.92/108.01 ( 828.92/108.01 funcSet @ 828.92/108.01 X334 @ 828.92/108.01 X336 ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X342:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X342 @ 828.92/108.01 X334 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X334 @ 828.92/108.01 X336 @ 828.92/108.01 X338 @ 828.92/108.01 X342 ) = 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X334 @ 828.92/108.01 X336 @ 828.92/108.01 X340 @ 828.92/108.01 X342 ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X338 ) = 828.92/108.01 ( 828.92/108.01 X340 ) ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X344:$i, 828.92/108.01 X346:$i, 828.92/108.01 X348:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X348 @ 828.92/108.01 ( 828.92/108.01 funcSet @ 828.92/108.01 X344 @ 828.92/108.01 X346 ) ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X350:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X350 @ 828.92/108.01 X344 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X344 @ 828.92/108.01 X346 @ 828.92/108.01 X348 @ 828.92/108.01 X350 ) = 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X344 @ 828.92/108.01 X346 @ 828.92/108.01 X348 @ 828.92/108.01 X350 ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X352:$i, 828.92/108.01 X354:$i, 828.92/108.01 X356:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 func @ 828.92/108.01 X352 @ 828.92/108.01 X354 @ 828.92/108.01 X356 ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X358:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X358 @ 828.92/108.01 X352 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X352 @ 828.92/108.01 X354 @ 828.92/108.01 X356 @ 828.92/108.01 X358 ) = 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X352 @ 828.92/108.01 X354 @ 828.92/108.01 X356 @ 828.92/108.01 X358 ) ) ) ) ) ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X360:$i, 828.92/108.01 X362:$i, 828.92/108.01 X364:( 828.92/108.01 $i > $i )]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X366:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X366 @ 828.92/108.01 X360 ) => 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 ( 828.92/108.01 X364 @ 828.92/108.01 X366 ) @ 828.92/108.01 X362 ) ) ) => 828.92/108.01 ( 828.92/108.01 ![ 828.92/108.01 X368:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 in @ 828.92/108.01 X368 @ 828.92/108.01 X360 ) => 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 ap @ 828.92/108.01 X360 @ 828.92/108.01 X362 @ 828.92/108.01 ( 828.92/108.01 dpsetconstr 828.92/108.01 @ 828.92/108.01 X360 @ 828.92/108.01 X362 @ 828.92/108.01 ( 828.92/108.01 ^[ 828.92/108.01 V_20:$i, 828.92/108.01 V_21:$i]: 828.92/108.01 ( 828.92/108.01 ( 828.92/108.01 X364 @ 828.92/108.01 V_20 ) = 828.92/108.01 ( 828.92/108.01 V_21 ) ) ) ) @ 828.92/108.01 X368 ) = 828.92/108.01 ( 828.92/108.01 X364 @ 828.92/108.01 X368 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 828.92/108.01 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 828.92/108.01 thf(zip_derived_cl14577, plain, 828.92/108.01 (![X108 : $i, X109 : $i, X110 : $i > $i]: 828.92/108.01 ( (func @ X108 @ X109 @ 828.92/108.01 (dpsetconstr @ X108 @ X109 @ (^[Y0 : $i]: ((($i) = (X110 @ Y0)))))) 828.92/108.01 | (in @ (sk__184 @ X110 @ X109 @ X108) @ X108))), 828.92/108.01 inference('cnf', [status(esa)], [zf_stmt_1])). 828.92/108.01 thf(zip_derived_cl14564, plain, 828.92/108.01 (![X61 : $i, X62 : $i, X63 : $i > $i]: 828.92/108.01 ( (func @ X61 @ X62 @ 828.92/108.01 (dpsetconstr @ X61 @ X62 @ (^[Y0 : $i]: ((($i) = (X63 @ Y0)))))) 828.92/108.01 | ~ (in @ (X63 @ (sk__193 @ X63 @ X62 @ X61)) @ X62))), 828.92/108.01 inference('cnf', [status(esa)], [zf_stmt_1])). 828.92/108.01 thf(zip_derived_cl14565, plain, 828.92/108.01 (![X63 : $i > $i, X64 : $i, X65 : $i]: 828.92/108.01 (('#l_lift3625' @ X63 @ X64 @ X65) = (((X63 @ X64) = (X65))))), 828.92/108.01 define([status(thm)])). 828.92/108.01 thf(zip_derived_cl14578, plain, 828.92/108.01 (![X108 : $i, X109 : $i, X110 : $i > $i]: 828.92/108.01 ( (func @ X108 @ X109 @ 828.92/108.01 (dpsetconstr @ X108 @ X109 @ ('#l_lift3625' @ X110))) 828.92/108.01 | (in @ (sk__184 @ X110 @ X109 @ X108) @ X108))), 828.92/108.01 inference('lambda_lifting', [status(thm)], 828.92/108.01 [zip_derived_cl14577, zip_derived_cl14565])). 828.92/108.01 thf(zip_derived_cl126, plain, ( (in @ sk__190 @ sk__187)), 828.92/108.01 inference('cnf', [status(esa)], [zf_stmt_1])). 828.92/108.01 thf(zip_derived_cl14573, plain, 828.92/108.01 (((ap @ sk__187 @ sk__188 @ 828.92/108.01 (dpsetconstr @ sk__187 @ sk__188 @ 828.92/108.01 (^[Y0 : $i]: ((($i) = (sk__189 @ Y0))))) @ 828.92/108.01 sk__190) != (sk__189 @ sk__190))), 828.92/108.01 inference('cnf', [status(esa)], [zf_stmt_1])). 828.92/108.01 thf(zip_derived_cl14565, plain, 828.92/108.01 (![X63 : $i > $i, X64 : $i, X65 : $i]: 828.92/108.01 (('#l_lift3625' @ X63 @ X64 @ X65) = (((X63 @ X64) = (X65))))), 828.92/108.01 define([status(thm)])). 828.92/108.01 thf(zip_derived_cl14574, plain, 828.92/108.01 (((ap @ sk__187 @ sk__188 @ 828.92/108.01 (dpsetconstr @ sk__187 @ sk__188 @ ('#l_lift3625' @ sk__189)) @ 828.92/108.01 sk__190) != (sk__189 @ sk__190))), 828.92/108.01 inference('lambda_lifting', [status(thm)], 828.92/108.01 [zip_derived_cl14573, zip_derived_cl14565])). 828.92/108.01 thf(zip_derived_cl128, plain, 828.92/108.01 (![X89 : $i]: 828.92/108.01 ( (in @ (sk__189 @ X89) @ sk__188) | ~ (in @ X89 @ sk__187))), 828.92/108.01 inference('cnf', [status(esa)], [zf_stmt_1])). 828.92/108.01 thf(zip_derived_cl14575, plain, 828.92/108.01 (![X108 : $i, X109 : $i, X110 : $i > $i]: 828.92/108.01 ( (func @ X108 @ X109 @ 828.92/108.01 (dpsetconstr @ X108 @ X109 @ (^[Y0 : $i]: ((($i) = (X110 @ Y0)))))) 828.92/108.01 | ~ (in @ (X110 @ (sk__184 @ X110 @ X109 @ X108)) @ X109))), 828.92/108.01 inference('cnf', [status(esa)], [zf_stmt_1])). 828.92/108.01 thf(zip_derived_cl14565, plain, 828.92/108.01 (![X63 : $i > $i, X64 : $i, X65 : $i]: 828.92/108.01 (('#l_lift3625' @ X63 @ X64 @ X65) = (((X63 @ X64) = (X65))))), 828.92/108.01 define([status(thm)])). 828.92/108.01 thf(zip_derived_cl14576, plain, 828.92/108.01 (![X108 : $i, X109 : $i, X110 : $i > $i]: 828.92/108.01 ( (func @ X108 @ X109 @ 828.92/108.01 (dpsetconstr @ X108 @ X109 @ ('#l_lift3625' @ X110))) 828.92/108.01 | ~ (in @ (X110 @ (sk__184 @ X110 @ X109 @ X108)) @ X109))), 828.92/108.01 inference('lambda_lifting', [status(thm)], 828.92/108.01 [zip_derived_cl14575, zip_derived_cl14565])). 828.92/108.01 thf(zip_derived_cl14565, plain, 828.92/108.01 (![X63 : $i > $i, X64 : $i, X65 : $i]: 828.92/108.01 (('#l_lift3625' @ X63 @ X64 @ X65) = (((X63 @ X64) = (X65))))), 828.92/108.01 define([status(thm)])). 828.92/108.01 thf(zip_derived_cl14583, plain, 828.92/108.01 (![X131 : $i, X132 : $i, X133 : $i, X134 : $i, X135 : $i > $i > $o]: 828.92/108.01 (~ (in @ X131 @ X132) 828.92/108.01 | (in @ (kpair @ X133 @ X131) @ (dpsetconstr @ X134 @ X132 @ X135)) 828.92/108.01 | ~ (X135 @ X133 @ X131) 828.92/108.01 | ~ (in @ X133 @ X134))), 828.92/108.01 inference('cnf', [status(esa)], [zf_stmt_1])). 828.92/108.01 thf(zip_derived_cl14563, plain, 828.92/108.01 (![X48 : $i, X49 : $i, X50 : $i, X51 : $i, X52 : $i > $i > $o]: 828.92/108.01 ( (in @ X48 @ X49) 828.92/108.01 | ~ (in @ (kpair @ X50 @ X48) @ (dpsetconstr @ X51 @ X49 @ X52)))), 828.92/108.01 inference('cnf', [status(esa)], [zf_stmt_1])). 828.92/108.01 thf(zip_derived_cl120, plain, 828.92/108.01 (![X71 : $i, X72 : $i, X73 : $i, X74 : $i, X75 : $i]: 828.92/108.01 (~ (in @ X71 @ X72) 828.92/108.01 | ~ (in @ (kpair @ X71 @ X73) @ X74) 828.92/108.01 | ((ap @ X72 @ X75 @ X74 @ X71) = (X73)) 828.92/108.01 | ~ (in @ X73 @ X75) 828.92/108.01 | ~ (func @ X72 @ X75 @ X74))), 828.92/108.01 inference('cnf', [status(esa)], [zf_stmt_1])). 828.92/108.01 thf(zip_derived_cl14584, plain, ($false), 828.92/108.01 inference('eprover', [status(thm)], 828.92/108.01 [zip_derived_cl14578, zip_derived_cl126, zip_derived_cl14574, 828.92/108.01 zip_derived_cl128, zip_derived_cl14576, zip_derived_cl14565, 828.92/108.01 zip_derived_cl14583, zip_derived_cl14563, zip_derived_cl120])). 828.92/108.01 828.92/108.01 % SZS output end Refutation 828.92/108.01 828.92/108.01 828.92/108.01 % Terminating... 828.92/108.06 % Runner terminated. 828.92/108.06 % Zipperpin 1.5 exiting 828.92/108.06 EOF