0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fyiYWJaJri true 0.14/0.35 % Computer : n024.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1440 0.14/0.35 % WCLimit : 180 0.14/0.35 % DateTime : Mon Jul 3 07:41:23 EDT 2023 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 1440 s 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.35 % Number of cores: 8 0.19/0.35 % Python version: Python 3.6.8 0.19/0.35 % Running in HO mode 0.48/0.65 % Total configuration time : 828 0.48/0.65 % Estimated wc time : 1656 0.48/0.65 % Estimated cpu time (8 cpus) : 207.0 0.48/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.48/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.48/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.48/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.48/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.48/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.48/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.48/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.49/0.83 % Solved by lams/40_c_ic.sh. 0.49/0.83 % done 0 iterations in 0.055s 0.49/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.49/0.83 % SZS output start Refutation 0.49/0.83 thf(setadjoinAx_type, type, setadjoinAx: $o). 0.49/0.83 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 0.49/0.83 thf(notdexE_type, type, notdexE: $o). 0.49/0.83 thf(setunionAx_type, type, setunionAx: $o). 0.49/0.83 thf(setminusELneg_type, type, setminusELneg: $o). 0.49/0.83 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 0.49/0.83 thf(sk__18_type, type, sk__18: $i). 0.49/0.83 thf(ap2apEq1_type, type, ap2apEq1: $o). 0.49/0.83 thf(ex1E2_type, type, ex1E2: $o). 0.49/0.83 thf(powersetE_type, type, powersetE: $o). 0.49/0.83 thf(omegaSAx_type, type, omegaSAx: $o). 0.49/0.83 thf(exuI1_type, type, exuI1: $o). 0.49/0.83 thf(exuI2_type, type, exuI2: $o). 0.49/0.83 thf(notequalI2_type, type, notequalI2: $o). 0.49/0.83 thf(kpairiskpair_type, type, kpairiskpair: $o). 0.49/0.83 thf(upairsubunion_type, type, upairsubunion: $o). 0.49/0.83 thf(powerset__Cong_type, type, powerset__Cong: $o). 0.49/0.83 thf(setminusILneg_type, type, setminusILneg: $o). 0.49/0.83 thf(eta1_type, type, eta1: $o). 0.49/0.83 thf(sk__20_type, type, sk__20: $i > $i). 0.49/0.83 thf(ap2p_type, type, ap2p: $o). 0.49/0.83 thf(wellorderingAx_type, type, wellorderingAx: $o). 0.49/0.83 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 0.49/0.83 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 0.49/0.83 thf(upairinpowunion_type, type, upairinpowunion: $o). 0.49/0.83 thf(setoftrueEq_type, type, setoftrueEq: $o). 0.49/0.83 thf(func_type, type, func: $i > $i > $i > $o). 0.49/0.83 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 0.49/0.83 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 0.49/0.83 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 0.49/0.83 thf(dpsetconstrER_type, type, dpsetconstrER: $o). 0.49/0.83 thf(sepInPowerset_type, type, sepInPowerset: $o). 0.49/0.83 thf(setukpairIR_type, type, setukpairIR: $o). 0.49/0.83 thf(lamp_type, type, lamp: $o). 0.49/0.83 thf(binunionE_type, type, binunionE: $o). 0.49/0.83 thf(setext_type, type, setext: $o). 0.49/0.83 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 0.49/0.83 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 0.49/0.83 thf(funcSet_type, type, funcSet: $i > $i > $i). 0.49/0.83 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 0.49/0.83 thf(descr__Cong_type, type, descr__Cong: $o). 0.49/0.83 thf(subbreln_type, type, subbreln: $o). 0.49/0.83 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 0.49/0.83 thf(app_type, type, app: $o). 0.49/0.83 thf(in_type, type, in: $i > $i > $o). 0.49/0.83 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 0.49/0.83 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 0.49/0.83 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 0.49/0.83 thf(brelnall1_type, type, brelnall1: $o). 0.49/0.83 thf(funcGraphProp3_type, type, funcGraphProp3: $o). 0.49/0.83 thf(setadjoinIR_type, type, setadjoinIR: $o). 0.49/0.83 thf(funcGraphProp2_type, type, funcGraphProp2: $o). 0.49/0.83 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 0.49/0.83 thf(funcextLem_type, type, funcextLem: $o). 0.49/0.83 thf(symdiffI2_type, type, symdiffI2: $o). 0.49/0.83 thf(upairset2IR_type, type, upairset2IR: $o). 0.49/0.83 thf(brelnall2_type, type, brelnall2: $o). 0.49/0.83 thf(subsetE_type, type, subsetE: $o). 0.49/0.83 thf(prop2set2propI_type, type, prop2set2propI: $o). 0.49/0.83 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 0.49/0.83 thf(setbeta_type, type, setbeta: $o). 0.49/0.83 thf(eqinunit_type, type, eqinunit: $o). 0.49/0.83 thf(upairsetIL_type, type, upairsetIL: $o). 0.49/0.83 thf(powersetI1_type, type, powersetI1: $o). 0.49/0.83 thf(lamProp_type, type, lamProp: $o). 0.49/0.83 thf(sk__19_type, type, sk__19: $i). 0.49/0.83 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 0.49/0.83 thf(setukpairinjR_type, type, setukpairinjR: $o). 0.49/0.83 thf(cartprodfstin_type, type, cartprodfstin: $o). 0.49/0.83 thf(setminusIRneg_type, type, setminusIRneg: $o). 0.49/0.83 thf(powersetAx_type, type, powersetAx: $o). 0.49/0.83 thf(singletonprop_type, type, singletonprop: $o). 0.49/0.83 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 0.49/0.83 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 0.49/0.83 thf(powersetI_type, type, powersetI: $o). 0.49/0.83 thf(cartprodmempair_type, type, cartprodmempair: $o). 0.49/0.83 thf(upairsetIR_type, type, upairsetIR: $o). 0.49/0.83 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 0.49/0.83 thf(inCongP_type, type, inCongP: $o). 0.49/0.83 thf(setukpairinjL_type, type, setukpairinjL: $o). 0.49/0.83 thf(setadjoinSub_type, type, setadjoinSub: $o). 0.49/0.83 thf(exuE3e_type, type, exuE3e: $o). 0.49/0.83 thf(emptysetE_type, type, emptysetE: $o). 0.49/0.83 thf(upairequniteq_type, type, upairequniteq: $o). 0.49/0.83 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 0.49/0.83 thf(setunionI_type, type, setunionI: $o). 0.49/0.83 thf(setunion__Cong_type, type, setunion__Cong: $o). 0.49/0.83 thf(prop2setI_type, type, prop2setI: $o). 0.49/0.83 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 0.49/0.83 thf(funcinfuncset_type, type, funcinfuncset: $o). 0.49/0.83 thf(setminusER_type, type, setminusER: $o). 0.49/0.83 thf(exuE2_type, type, exuE2: $o). 0.49/0.83 thf(powersetsubset_type, type, powersetsubset: $o). 0.49/0.83 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 0.49/0.83 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 0.49/0.83 thf(subPowSU_type, type, subPowSU: $o). 0.49/0.83 thf(notequalI1_type, type, notequalI1: $o). 0.49/0.83 thf(notinemptyset_type, type, notinemptyset: $o). 0.49/0.83 thf(nonemptyI1_type, type, nonemptyI1: $o). 0.49/0.83 thf(subsetTrans_type, type, subsetTrans: $o). 0.49/0.83 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 0.49/0.83 thf(kpairp_type, type, kpairp: $o). 0.49/0.83 thf(setminusI_type, type, setminusI: $o). 0.49/0.83 thf(binunionIL_type, type, binunionIL: $o). 0.49/0.83 thf(setunionsingleton_type, type, setunionsingleton: $o). 0.49/0.83 thf(subsetE2_type, type, subsetE2: $o). 0.49/0.83 thf(singletonsswitch_type, type, singletonsswitch: $o). 0.49/0.83 thf(kfstpairEq_type, type, kfstpairEq: $o). 0.49/0.83 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 0.49/0.83 thf(setextsub_type, type, setextsub: $o). 0.49/0.83 thf(lam_type, type, lam: $i > $i > ($i > $i) > $i). 0.49/0.83 thf(binunionLsub_type, type, binunionLsub: $o). 0.49/0.83 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 0.49/0.83 thf(emptysetsubset_type, type, emptysetsubset: $o). 0.49/0.83 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 0.49/0.83 thf(setunionE_type, type, setunionE: $o). 0.49/0.83 thf(setminusSubset1_type, type, setminusSubset1: $o). 0.49/0.83 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 0.49/0.83 thf(binunionIR_type, type, binunionIR: $o). 0.49/0.83 thf(setadjoinE_type, type, setadjoinE: $o). 0.49/0.83 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 0.49/0.83 thf(singletonsuniq_type, type, singletonsuniq: $o). 0.49/0.83 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o). 0.49/0.83 thf(setadjoinIL_type, type, setadjoinIL: $o). 0.49/0.83 thf(exuE1_type, type, exuE1: $o). 0.49/0.83 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 0.49/0.83 thf(binintersectRsub_type, type, binintersectRsub: $o). 0.49/0.83 thf(setminusLsub_type, type, setminusLsub: $o). 0.49/0.83 thf(notinsingleton_type, type, notinsingleton: $o). 0.49/0.83 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o). 0.49/0.83 thf(infuncsetfunc_type, type, infuncsetfunc: $o). 0.49/0.83 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 0.49/0.83 thf(exuEu_type, type, exuEu: $o). 0.49/0.83 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 0.49/0.83 thf(ex1I2_type, type, ex1I2: $o). 0.49/0.83 thf(upairsetE_type, type, upairsetE: $o). 0.49/0.83 thf(omega0Ax_type, type, omega0Ax: $o). 0.49/0.83 thf(ap_type, type, ap: $i > $i > $i > $i > $i). 0.49/0.83 thf(notsubsetI_type, type, notsubsetI: $o). 0.49/0.83 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 0.49/0.83 thf(setextAx_type, type, setextAx: $o). 0.49/0.83 thf(powersetE1_type, type, powersetE1: $o). 0.49/0.83 thf(bs114d_type, type, bs114d: $o). 0.49/0.83 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 0.49/0.83 thf(binintersectLsub_type, type, binintersectLsub: $o). 0.49/0.83 thf(subsetI1_type, type, subsetI1: $o). 0.49/0.83 thf(symdiffE_type, type, symdiffE: $o). 0.49/0.83 thf(descrp_type, type, descrp: $o). 0.49/0.83 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 0.49/0.83 thf(foundationAx_type, type, foundationAx: $o). 0.49/0.83 thf(emptysetAx_type, type, emptysetAx: $o). 0.49/0.83 thf(emptyI_type, type, emptyI: $o). 0.49/0.83 thf(setadjoinOr_type, type, setadjoinOr: $o). 0.49/0.83 thf(binintersectEL_type, type, binintersectEL: $o). 0.49/0.83 thf(emptyE1_type, type, emptyE1: $o). 0.49/0.83 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 0.49/0.83 thf(funcImageSingleton_type, type, funcImageSingleton: $o). 0.49/0.83 thf(vacuousDall_type, type, vacuousDall: $o). 0.49/0.83 thf(dsetconstrER_type, type, dsetconstrER: $o). 0.49/0.83 thf(funcGraphProp1_type, type, funcGraphProp1: $o). 0.49/0.83 thf(lam2p_type, type, lam2p: $o). 0.49/0.83 thf(binintersectI_type, type, binintersectI: $o). 0.49/0.83 thf(cartprodpairin_type, type, cartprodpairin: $o). 0.49/0.83 thf(ex1I_type, type, ex1I: $o). 0.49/0.83 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 0.49/0.83 thf(cartprodsndin_type, type, cartprodsndin: $o). 0.49/0.83 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 0.49/0.83 thf(dpsetconstr_type, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 0.49/0.83 thf(symdiffI1_type, type, symdiffI1: $o). 0.49/0.83 thf(subsetI2_type, type, subsetI2: $o). 0.49/0.83 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 0.49/0.83 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 0.49/0.83 thf(theprop_type, type, theprop: $o). 0.49/0.83 thf(setminusERneg_type, type, setminusERneg: $o). 0.49/0.83 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 0.49/0.83 thf(omega__Cong_type, type, omega__Cong: $o). 0.49/0.83 thf(subsetRefl_type, type, subsetRefl: $o). 0.49/0.83 thf(uniqinunit_type, type, uniqinunit: $o). 0.49/0.83 thf(ap2apEq2_type, type, ap2apEq2: $o). 0.49/0.83 thf(funcGraphProp4_type, type, funcGraphProp4: $o). 0.49/0.83 thf(setminusSubset2_type, type, setminusSubset2: $o). 0.49/0.83 thf(prop2setE_type, type, prop2setE: $o). 0.49/0.83 thf(binunionEcases_type, type, binunionEcases: $o). 0.49/0.83 thf(nonemptyI_type, type, nonemptyI: $o). 0.49/0.83 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 0.49/0.83 thf(exuE3u_type, type, exuE3u: $o). 0.49/0.83 thf(beta1_type, type, beta1: $o). 0.49/0.83 thf(setminusEL_type, type, setminusEL: $o). 0.49/0.83 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 0.49/0.83 thf(sepSubset_type, type, sepSubset: $o). 0.49/0.83 thf(upairset2E_type, type, upairset2E: $o). 0.49/0.83 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 0.49/0.83 thf(exuI3_type, type, exuI3: $o). 0.49/0.83 thf(funcext_type, type, funcext: $o). 0.49/0.83 thf(notdallE_type, type, notdallE: $o). 0.49/0.83 thf(binintersectER_type, type, binintersectER: $o). 0.49/0.83 thf(ksndsingleton_type, type, ksndsingleton: $o). 0.49/0.83 thf(kfstsingleton_type, type, kfstsingleton: $o). 0.49/0.83 thf(dsetconstrI_type, type, dsetconstrI: $o). 0.49/0.83 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 0.49/0.83 thf(exu__Cong_type, type, exu__Cong: $o). 0.49/0.83 thf(ksndpairEq_type, type, ksndpairEq: $o). 0.49/0.83 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 0.49/0.83 thf(ex1E1_type, type, ex1E1: $o). 0.49/0.83 thf(secondinupair_type, type, secondinupair: $o). 0.49/0.83 thf(singletonsubset_type, type, singletonsubset: $o). 0.49/0.83 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 0.49/0.83 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 0.49/0.83 thf(eqbreln_type, type, eqbreln: $o). 0.49/0.83 thf(replAx_type, type, replAx: $o). 0.49/0.83 thf(nonemptyE1_type, type, nonemptyE1: $o). 0.49/0.83 thf(omegaIndAx_type, type, omegaIndAx: $o). 0.49/0.83 thf(setukpairIL_type, type, setukpairIL: $o). 0.49/0.83 thf(setunionE2_type, type, setunionE2: $o). 0.49/0.83 thf(inPowerset_type, type, inPowerset: $o). 0.49/0.83 thf(funcext2_type, type, funcext2: $o). 0.49/0.83 thf(apProp_type, type, apProp: $o). 0.49/0.83 thf(in__Cong_type, type, in__Cong: $o). 0.49/0.83 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 0.49/0.83 thf(binunionRsub_type, type, binunionRsub: $o). 0.49/0.83 thf(subset2powerset_type, type, subset2powerset: $o). 0.49/0.83 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 0.49/0.83 thf(eta1, axiom, eta1 = 0.49/0.83 (![A:$i,B:$i,Xf:$i]: 0.49/0.83 ( ( func @ A @ B @ Xf ) => 0.49/0.83 ( ( lam @ A @ B @ ( ^[Xx:$i]: ( ap @ A @ B @ Xf @ Xx ) ) ) = ( Xf ) ) ))). 0.49/0.83 thf('0', plain, 0.49/0.83 (( eta1 ) = 0.49/0.83 ( ![X4:$i,X6:$i,X8:$i]: 0.49/0.83 ( ( func @ X4 @ X6 @ X8 ) => 0.49/0.83 ( ( lam @ X4 @ X6 @ ( ^[V_1:$i]: ( ap @ X4 @ X6 @ X8 @ V_1 ) ) ) = 0.49/0.83 ( X8 ) ) ) )), 0.49/0.83 define([status(thm)])). 0.49/0.83 thf(beta1, axiom, beta1 = 0.49/0.83 (![A:$i,B:$i,Xf:( $i > $i )]: 0.49/0.83 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( Xf @ Xx ) @ B ) ) ) => 0.49/0.83 ( ![Xx:$i]: 0.49/0.83 ( ( in @ Xx @ A ) => 0.49/0.83 ( ( ap @ A @ B @ ( lam @ A @ B @ ( ^[Xy:$i]: ( Xf @ Xy ) ) ) @ Xx ) = 0.49/0.83 ( Xf @ Xx ) ) ) ) ))). 0.49/0.83 thf('1', plain, 0.49/0.83 (( beta1 ) = 0.49/0.83 ( ![X4:$i,X6:$i,X8:( $i > $i )]: 0.49/0.83 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 0.49/0.83 ( ![X12:$i]: 0.49/0.83 ( ( in @ X12 @ X4 ) => 0.49/0.83 ( ( ap @ 0.49/0.83 X4 @ X6 @ ( lam @ X4 @ X6 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) @ 0.49/0.83 X12 ) = 0.49/0.83 ( X8 @ X12 ) ) ) ) ) )), 0.49/0.83 define([status(thm)])). 0.49/0.83 thf(lam2p, axiom, lam2p = 0.49/0.83 (![A:$i,B:$i,Xf:( $i > $i )]: 0.49/0.83 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( Xf @ Xx ) @ B ) ) ) => 0.49/0.83 ( in @ ( lam @ A @ B @ ( ^[Xx:$i]: ( Xf @ Xx ) ) ) @ ( funcSet @ A @ B ) ) ))). 0.49/0.83 thf('2', plain, 0.49/0.83 (( lam2p ) = 0.49/0.83 ( ![X4:$i,X6:$i,X8:( $i > $i )]: 0.49/0.83 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 0.49/0.83 ( in @ 0.49/0.83 ( lam @ X4 @ X6 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) @ 0.49/0.83 ( funcSet @ X4 @ X6 ) ) ) )), 0.49/0.83 define([status(thm)])). 0.49/0.83 thf(lamp, axiom, lamp = 0.49/0.83 (![A:$i,B:$i,Xf:( $i > $i )]: 0.49/0.83 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( Xf @ Xx ) @ B ) ) ) => 0.49/0.83 ( func @ A @ B @ ( lam @ A @ B @ ( ^[Xx:$i]: ( Xf @ Xx ) ) ) ) ))). 0.49/0.83 thf('3', plain, 0.49/0.83 (( lamp ) = 0.49/0.83 ( ![X4:$i,X6:$i,X8:( $i > $i )]: 0.49/0.83 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 0.49/0.83 ( func @ X4 @ X6 @ ( lam @ X4 @ X6 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) ) ) )), 0.49/0.83 define([status(thm)])). 0.49/0.83 thf(lam, axiom,(( lam ) = 0.49/0.83 (^[A:$i,B:$i,Xf:( $i > $i )]: 0.49/0.83 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) )))). 0.49/0.83 thf('4', plain, 0.49/0.83 (( lam ) = 0.49/0.83 ( ^[A:$i,B:$i,Xf:( $i > $i )]: 0.49/0.83 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) ) )), 0.49/0.83 inference('simplify_rw_rule', [status(thm)], [lam])). 0.49/0.83 thf('5', plain, 0.49/0.83 (( lam ) = 0.49/0.83 ( ^[V_1:$i,V_2:$i,V_3:( $i > $i )]: 0.49/0.83 ( dpsetconstr @ 0.49/0.83 V_1 @ V_2 @ ( ^[V_4:$i,V_5:$i]: ( ( V_3 @ V_4 ) = ( V_5 ) ) ) ) )), 0.49/0.83 define([status(thm)])). 0.49/0.83 thf(lam2lamEq, conjecture, 0.49/0.83 (( setextAx ) => 0.49/0.83 ( ( emptysetAx ) => 0.49/0.83 ( ( setadjoinAx ) => 0.49/0.83 ( ( powersetAx ) => 0.49/0.83 ( ( setunionAx ) => 0.49/0.83 ( ( omega0Ax ) => 0.49/0.83 ( ( omegaSAx ) => 0.49/0.83 ( ( omegaIndAx ) => 0.49/0.83 ( ( replAx ) => 0.49/0.83 ( ( foundationAx ) => 0.49/0.83 ( ( wellorderingAx ) => 0.49/0.83 ( ( descrp ) => 0.49/0.83 ( ( dsetconstrI ) => 0.49/0.83 ( ( dsetconstrEL ) => 0.49/0.83 ( ( dsetconstrER ) => 0.49/0.83 ( ( exuE1 ) => 0.49/0.83 ( ( prop2setE ) => 0.49/0.83 ( ( emptysetE ) => 0.49/0.83 ( ( emptysetimpfalse ) => 0.49/0.83 ( ( notinemptyset ) => 0.49/0.83 ( ( exuE3e ) => 0.49/0.83 ( ( setext ) => 0.49/0.83 ( ( emptyI ) => 0.49/0.83 ( ( noeltsimpempty ) => 0.49/0.83 ( ( setbeta ) => 0.49/0.83 ( ( nonemptyE1 ) => 0.49/0.83 ( ( nonemptyI ) => 0.49/0.83 ( ( nonemptyI1 ) => 0.49/0.83 ( ( setadjoinIL ) => 0.49/0.83 ( ( emptyinunitempty ) => 0.49/0.83 ( ( setadjoinIR ) => 0.49/0.83 ( ( setadjoinE ) => 0.49/0.83 ( ( 0.49/0.83 setadjoinOr ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setoftrueEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 powersetI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 emptyinPowerset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 emptyInPowerset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 powersetE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunionI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunionE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subPowSU ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exuE2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 nonemptyImpWitness ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 uniqinunit ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 notinsingleton ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 eqinunit ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 singletonsswitch ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairsetE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairsetIL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairsetIR ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 emptyE1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 vacuousDall ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 quantDeMorgan1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 quantDeMorgan2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 quantDeMorgan3 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 quantDeMorgan4 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 prop2setI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 prop2set2propI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 notdexE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 notdallE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exuI1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exuI3 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exuI2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 inCongP ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 in__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exuE3u ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exu__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 emptyset__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setadjoin__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 powerset__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunion__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 omega__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exuEu ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 descr__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dsetconstr__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetI1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 eqimpsubset2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 eqimpsubset1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetI2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 emptysetsubset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetE2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 notsubsetI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 notequalI1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 notequalI2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetRefl ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetTrans ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setadjoinSub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setadjoinSub2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subset2powerset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setextsub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetemptysetimpeq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 powersetI1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 powersetE1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 inPowerset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 powersetsubset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 sepInPowerset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 sepSubset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binunionIL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairset2IR ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binunionIR ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binunionEcases ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binunionE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binunionLsub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binunionRsub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectSubset5 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectEL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectLsub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectSubset2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectSubset3 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectER ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 disjointsetsI1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectRsub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectSubset4 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectSubset1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 bs114d ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusEL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusER ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusSubset2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusERneg ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusELneg ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusILneg ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusIRneg ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusLsub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusSubset1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 symdiffE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 symdiffI1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 symdiffI2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 symdiffIneg1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 symdiffIneg2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 secondinupair ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairIL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairIR ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 kpairiskpair ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 kpairp ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 singletonsubset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 singletoninpowerset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 singletoninpowunion ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairset2E ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairsubunion ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairinpowunion ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ubforcartprodlem1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ubforcartprodlem2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ubforcartprodlem3 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodpairin ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodmempair1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodmempair ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunionE2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunionsingleton1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunionsingleton2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunionsingleton ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 singletonprop ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ex1E1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ex1I ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ex1I2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 singletonsuniq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjL1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 kfstsingleton ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 theprop ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 kfstpairEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodfstin ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjL2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjR11 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjR12 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjR1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairequniteq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjR2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjR ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ksndsingleton ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ksndpairEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 kpairsurjEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodsndin ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodpairmemEL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodpairmemER ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodmempaircEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodfstpairEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodsndpairEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodpairsurjEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstrI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstrSub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setOfPairsIsBReln ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstrERa ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstrEL1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstrEL2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstrER ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcImageSingleton ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 apProp ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 app ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 infuncsetfunc ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ap2p ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcinfuncset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 lamProp ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 lamp ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 lam2p ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 brelnall1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 brelnall2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ex1E2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcGraphProp1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcGraphProp3 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcGraphProp2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcextLem ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcGraphProp4 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subbreln ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 eqbreln ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcext ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcext2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ap2apEq1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ap2apEq2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 beta1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 eta1 ) => 0.49/0.83 ( 0.49/0.83 ![ 0.49/0.83 A:$i,B:$i, 0.49/0.83 Xf:( 0.49/0.83 $i > $i )]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ![ 0.49/0.83 Xx:$i]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 in @ 0.49/0.83 Xx @ A ) => 0.49/0.83 ( 0.49/0.83 in @ 0.49/0.83 ( 0.49/0.83 Xf @ Xx ) @ 0.49/0.83 B ) ) ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 lam @ 0.49/0.83 A @ B @ 0.49/0.83 ( 0.49/0.83 ^[ 0.49/0.83 Xx:$i]: 0.49/0.83 ( 0.49/0.83 Xf @ Xx ) ) ) = 0.49/0.83 ( 0.49/0.83 lam @ 0.49/0.83 A @ B @ 0.49/0.83 ( 0.49/0.83 ^[ 0.49/0.83 Xx:$i]: 0.49/0.83 ( 0.49/0.83 Xf @ Xx ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 0.49/0.83 thf(zf_stmt_0, conjecture, 0.49/0.83 (( setextAx ) => 0.49/0.83 ( ( emptysetAx ) => 0.49/0.83 ( ( setadjoinAx ) => 0.49/0.83 ( ( powersetAx ) => 0.49/0.83 ( ( setunionAx ) => 0.49/0.83 ( ( omega0Ax ) => 0.49/0.83 ( ( omegaSAx ) => 0.49/0.83 ( ( omegaIndAx ) => 0.49/0.83 ( ( replAx ) => 0.49/0.83 ( ( foundationAx ) => 0.49/0.83 ( ( wellorderingAx ) => 0.49/0.83 ( ( descrp ) => 0.49/0.83 ( ( dsetconstrI ) => 0.49/0.83 ( ( dsetconstrEL ) => 0.49/0.83 ( ( dsetconstrER ) => 0.49/0.83 ( ( exuE1 ) => 0.49/0.83 ( ( prop2setE ) => 0.49/0.83 ( ( emptysetE ) => 0.49/0.83 ( ( emptysetimpfalse ) => 0.49/0.83 ( ( notinemptyset ) => 0.49/0.83 ( ( exuE3e ) => 0.49/0.83 ( ( setext ) => 0.49/0.83 ( ( emptyI ) => 0.49/0.83 ( ( noeltsimpempty ) => 0.49/0.83 ( ( setbeta ) => 0.49/0.83 ( ( nonemptyE1 ) => 0.49/0.83 ( ( nonemptyI ) => 0.49/0.83 ( ( nonemptyI1 ) => 0.49/0.83 ( ( setadjoinIL ) => 0.49/0.83 ( ( emptyinunitempty ) => 0.49/0.83 ( ( setadjoinIR ) => 0.49/0.83 ( ( setadjoinE ) => 0.49/0.83 ( ( 0.49/0.83 setadjoinOr ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setoftrueEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 powersetI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 emptyinPowerset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 emptyInPowerset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 powersetE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunionI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunionE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subPowSU ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exuE2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 nonemptyImpWitness ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 uniqinunit ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 notinsingleton ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 eqinunit ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 singletonsswitch ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairsetE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairsetIL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairsetIR ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 emptyE1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 vacuousDall ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 quantDeMorgan1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 quantDeMorgan2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 quantDeMorgan3 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 quantDeMorgan4 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 prop2setI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 prop2set2propI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 notdexE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 notdallE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exuI1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exuI3 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exuI2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 inCongP ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 in__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exuE3u ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exu__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 emptyset__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setadjoin__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 powerset__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunion__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 omega__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 exuEu ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 descr__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dsetconstr__Cong ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetI1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 eqimpsubset2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 eqimpsubset1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetI2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 emptysetsubset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetE2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 notsubsetI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 notequalI1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 notequalI2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetRefl ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetTrans ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setadjoinSub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setadjoinSub2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subset2powerset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setextsub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subsetemptysetimpeq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 powersetI1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 powersetE1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 inPowerset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 powersetsubset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 sepInPowerset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 sepSubset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binunionIL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairset2IR ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binunionIR ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binunionEcases ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binunionE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binunionLsub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binunionRsub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectSubset5 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectEL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectLsub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectSubset2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectSubset3 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectER ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 disjointsetsI1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectRsub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectSubset4 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 binintersectSubset1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 bs114d ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusEL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusER ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusSubset2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusERneg ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusELneg ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusILneg ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusIRneg ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusLsub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setminusSubset1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 symdiffE ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 symdiffI1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 symdiffI2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 symdiffIneg1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 symdiffIneg2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 secondinupair ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairIL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairIR ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 kpairiskpair ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 kpairp ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 singletonsubset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 singletoninpowerset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 singletoninpowunion ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairset2E ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairsubunion ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairinpowunion ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ubforcartprodlem1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ubforcartprodlem2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ubforcartprodlem3 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodpairin ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodmempair1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodmempair ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunionE2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunionsingleton1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunionsingleton2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setunionsingleton ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 singletonprop ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ex1E1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ex1I ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ex1I2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 singletonsuniq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjL1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 kfstsingleton ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 theprop ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 kfstpairEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodfstin ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjL2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjR11 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjR12 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjR1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 upairequniteq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjR2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setukpairinjR ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ksndsingleton ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ksndpairEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 kpairsurjEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodsndin ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodpairmemEL ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodpairmemER ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodmempaircEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodfstpairEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodsndpairEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 cartprodpairsurjEq ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstrI ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstrSub ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 setOfPairsIsBReln ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstrERa ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstrEL1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstrEL2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstrER ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcImageSingleton ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 apProp ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 app ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 infuncsetfunc ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ap2p ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcinfuncset ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 lamProp ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ![ 0.49/0.83 X4:$i, 0.49/0.83 X6:$i, 0.49/0.83 X8:( 0.49/0.83 $i > $i )]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ![ 0.49/0.83 X10:$i]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 in @ 0.49/0.83 X10 @ X4 ) => 0.49/0.83 ( 0.49/0.83 in @ 0.49/0.83 ( 0.49/0.83 X8 @ X10 ) @ 0.49/0.83 X6 ) ) ) => 0.49/0.83 ( 0.49/0.83 func @ 0.49/0.83 X4 @ X6 @ 0.49/0.83 ( 0.49/0.83 dpsetconstr 0.49/0.83 @ 0.49/0.83 X4 @ X6 @ 0.49/0.83 ( 0.49/0.83 ^[ 0.49/0.83 V_1:$i, 0.49/0.83 V_2:$i]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 X8 @ V_1 ) = 0.49/0.83 ( 0.49/0.83 V_2 ) ) ) ) ) ) ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ![ 0.49/0.83 X12:$i, 0.49/0.83 X14:$i, 0.49/0.83 X16:( 0.49/0.83 $i > $i )]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ![ 0.49/0.83 X18:$i]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 in @ 0.49/0.83 X18 @ X12 ) => 0.49/0.83 ( 0.49/0.83 in @ 0.49/0.83 ( 0.49/0.83 X16 @ X18 ) @ 0.49/0.83 X14 ) ) ) => 0.49/0.83 ( 0.49/0.83 in @ 0.49/0.83 ( 0.49/0.83 dpsetconstr 0.49/0.83 @ 0.49/0.83 X12 @ 0.49/0.83 X14 @ 0.49/0.83 ( 0.49/0.83 ^[ 0.49/0.83 V_3:$i, 0.49/0.83 V_4:$i]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 X16 @ V_3 ) = 0.49/0.83 ( 0.49/0.83 V_4 ) ) ) ) @ 0.49/0.83 ( 0.49/0.83 funcSet @ 0.49/0.83 X12 @ X14 ) ) ) ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 brelnall1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 brelnall2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ex1E2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcGraphProp1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcGraphProp3 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcGraphProp2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcextLem ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcGraphProp4 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 subbreln ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 eqbreln ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcext ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 funcext2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ap2apEq1 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ap2apEq2 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ![ 0.49/0.83 X20:$i, 0.49/0.83 X22:$i, 0.49/0.83 X24:( 0.49/0.83 $i > $i )]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ![ 0.49/0.83 X26:$i]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 in @ 0.49/0.83 X26 @ X20 ) => 0.49/0.83 ( 0.49/0.83 in @ 0.49/0.83 ( 0.49/0.83 X24 @ X26 ) @ 0.49/0.83 X22 ) ) ) => 0.49/0.83 ( 0.49/0.83 ![ 0.49/0.83 X28:$i]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 in @ 0.49/0.83 X28 @ X20 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ap @ 0.49/0.83 X20 @ 0.49/0.83 X22 @ 0.49/0.83 ( 0.49/0.83 dpsetconstr 0.49/0.83 @ 0.49/0.83 X20 @ 0.49/0.83 X22 @ 0.49/0.83 ( 0.49/0.83 ^[ 0.49/0.83 V_5:$i, 0.49/0.83 V_6:$i]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 X24 @ V_5 ) = 0.49/0.83 ( 0.49/0.83 V_6 ) ) ) ) @ 0.49/0.83 X28 ) = 0.49/0.83 ( 0.49/0.83 X24 @ X28 ) ) ) ) ) ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ![ 0.49/0.83 X30:$i, 0.49/0.83 X32:$i, 0.49/0.83 X34:$i]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 func @ 0.49/0.83 X30 @ 0.49/0.83 X32 @ X34 ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstr 0.49/0.83 @ 0.49/0.83 X30 @ 0.49/0.83 X32 @ 0.49/0.83 ( 0.49/0.83 ^[ 0.49/0.83 V_7:$i, 0.49/0.83 V_8:$i]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ap @ 0.49/0.83 X30 @ 0.49/0.83 X32 @ 0.49/0.83 X34 @ V_7 ) = 0.49/0.83 ( 0.49/0.83 V_8 ) ) ) ) = 0.49/0.83 ( 0.49/0.83 X34 ) ) ) ) => 0.49/0.83 ( 0.49/0.83 ![ 0.49/0.83 X36:$i, 0.49/0.83 X38:$i, 0.49/0.83 X40:( 0.49/0.83 $i > $i )]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 ![ 0.49/0.83 X42:$i]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 in @ 0.49/0.83 X42 @ X36 ) => 0.49/0.83 ( 0.49/0.83 in @ 0.49/0.83 ( 0.49/0.83 X40 @ X42 ) @ 0.49/0.83 X38 ) ) ) => 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 dpsetconstr 0.49/0.83 @ 0.49/0.83 X36 @ 0.49/0.83 X38 @ 0.49/0.83 ( 0.49/0.83 ^[ 0.49/0.83 V_9:$i, 0.49/0.83 V_10:$i]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 X40 @ V_9 ) = 0.49/0.83 ( 0.49/0.83 V_10 ) ) ) ) = 0.49/0.83 ( 0.49/0.83 dpsetconstr 0.49/0.83 @ 0.49/0.83 X36 @ 0.49/0.83 X38 @ 0.49/0.83 ( 0.49/0.83 ^[ 0.49/0.83 V_11:$i, 0.49/0.83 V_12:$i]: 0.49/0.83 ( 0.49/0.83 ( 0.49/0.83 X40 @ V_11 ) = 0.49/0.83 ( 0.49/0.83 V_12 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 0.49/0.83 thf(zf_stmt_1, negated_conjecture, 0.49/0.83 (~( ( setextAx ) => 0.49/0.83 ( ( emptysetAx ) => 0.49/0.83 ( ( setadjoinAx ) => 0.49/0.83 ( ( powersetAx ) => 0.49/0.83 ( ( setunionAx ) => 0.49/0.83 ( ( omega0Ax ) => 0.49/0.83 ( ( omegaSAx ) => 0.49/0.83 ( ( omegaIndAx ) => 0.49/0.83 ( ( replAx ) => 0.49/0.83 ( ( foundationAx ) => 0.49/0.83 ( ( wellorderingAx ) => 0.49/0.83 ( ( descrp ) => 0.49/0.83 ( ( dsetconstrI ) => 0.49/0.84 ( ( dsetconstrEL ) => 0.49/0.84 ( ( dsetconstrER ) => 0.49/0.84 ( ( exuE1 ) => 0.49/0.84 ( ( prop2setE ) => 0.49/0.84 ( ( emptysetE ) => 0.49/0.84 ( ( emptysetimpfalse ) => 0.49/0.84 ( ( notinemptyset ) => 0.49/0.84 ( ( exuE3e ) => 0.49/0.84 ( ( setext ) => 0.49/0.84 ( ( emptyI ) => 0.49/0.84 ( ( noeltsimpempty ) => 0.49/0.84 ( ( setbeta ) => 0.49/0.84 ( ( nonemptyE1 ) => 0.49/0.84 ( ( nonemptyI ) => 0.49/0.84 ( ( nonemptyI1 ) => 0.49/0.84 ( ( setadjoinIL ) => 0.49/0.84 ( ( emptyinunitempty ) => 0.49/0.84 ( ( setadjoinIR ) => 0.49/0.84 ( ( 0.49/0.84 setadjoinE ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setadjoinOr ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setoftrueEq ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 powersetI ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 emptyinPowerset ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 emptyInPowerset ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 powersetE ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setunionI ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setunionE ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 subPowSU ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 exuE2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 nonemptyImpWitness ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 uniqinunit ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 notinsingleton ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 eqinunit ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 singletonsswitch ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 upairsetE ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 upairsetIL ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 upairsetIR ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 emptyE1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 vacuousDall ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 quantDeMorgan1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 quantDeMorgan2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 quantDeMorgan3 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 quantDeMorgan4 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 prop2setI ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 prop2set2propI ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 notdexE ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 notdallE ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 exuI1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 exuI3 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 exuI2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 inCongP ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 in__Cong ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 exuE3u ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 exu__Cong ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 emptyset__Cong ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setadjoin__Cong ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 powerset__Cong ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setunion__Cong ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 omega__Cong ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 exuEu ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 descr__Cong ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 dsetconstr__Cong ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 subsetI1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 eqimpsubset2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 eqimpsubset1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 subsetI2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 emptysetsubset ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 subsetE ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 subsetE2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 notsubsetI ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 notequalI1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 notequalI2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 subsetRefl ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 subsetTrans ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setadjoinSub ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setadjoinSub2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 subset2powerset ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setextsub ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 subsetemptysetimpeq ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 powersetI1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 powersetE1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 inPowerset ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 powersetsubset ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 sepInPowerset ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 sepSubset ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binunionIL ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 upairset2IR ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binunionIR ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binunionEcases ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binunionE ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binunionLsub ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binunionRsub ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binintersectI ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binintersectSubset5 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binintersectEL ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binintersectLsub ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binintersectSubset2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binintersectSubset3 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binintersectER ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 disjointsetsI1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binintersectRsub ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binintersectSubset4 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 binintersectSubset1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 bs114d ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setminusI ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setminusEL ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setminusER ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setminusSubset2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setminusERneg ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setminusELneg ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setminusILneg ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setminusIRneg ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setminusLsub ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setminusSubset1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 symdiffE ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 symdiffI1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 symdiffI2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 symdiffIneg1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 symdiffIneg2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 secondinupair ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setukpairIL ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setukpairIR ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 kpairiskpair ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 kpairp ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 singletonsubset ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 singletoninpowerset ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 singletoninpowunion ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 upairset2E ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 upairsubunion ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 upairinpowunion ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ubforcartprodlem1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ubforcartprodlem2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ubforcartprodlem3 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 cartprodpairin ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 cartprodmempair1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 cartprodmempair ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setunionE2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setunionsingleton1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setunionsingleton2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setunionsingleton ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 singletonprop ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ex1E1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ex1I ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ex1I2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 singletonsuniq ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setukpairinjL1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 kfstsingleton ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 theprop ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 kfstpairEq ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 cartprodfstin ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setukpairinjL2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setukpairinjL ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setukpairinjR11 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setukpairinjR12 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setukpairinjR1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 upairequniteq ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setukpairinjR2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setukpairinjR ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ksndsingleton ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ksndpairEq ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 kpairsurjEq ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 cartprodsndin ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 cartprodpairmemEL ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 cartprodpairmemER ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 cartprodmempaircEq ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 cartprodfstpairEq ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 cartprodsndpairEq ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 cartprodpairsurjEq ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 dpsetconstrI ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 dpsetconstrSub ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 setOfPairsIsBReln ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 dpsetconstrERa ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 dpsetconstrEL1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 dpsetconstrEL2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 dpsetconstrER ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 funcImageSingleton ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 apProp ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 app ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 infuncsetfunc ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ap2p ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 funcinfuncset ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 lamProp ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ![ 0.49/0.84 X4:$i, 0.49/0.84 X6:$i, 0.49/0.84 X8:( 0.49/0.84 $i > $i )]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ![ 0.49/0.84 X10:$i]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 in @ 0.49/0.84 X10 @ X4 ) => 0.49/0.84 ( 0.49/0.84 in @ 0.49/0.84 ( 0.49/0.84 X8 @ X10 ) @ 0.49/0.84 X6 ) ) ) => 0.49/0.84 ( 0.49/0.84 func @ 0.49/0.84 X4 @ 0.49/0.84 X6 @ 0.49/0.84 ( 0.49/0.84 dpsetconstr 0.49/0.84 @ 0.49/0.84 X4 @ 0.49/0.84 X6 @ 0.49/0.84 ( 0.49/0.84 ^[ 0.49/0.84 V_1:$i, 0.49/0.84 V_2:$i]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 X8 @ V_1 ) = 0.49/0.84 ( 0.49/0.84 V_2 ) ) ) ) ) ) ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ![ 0.49/0.84 X12:$i, 0.49/0.84 X14:$i, 0.49/0.84 X16:( 0.49/0.84 $i > $i )]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ![ 0.49/0.84 X18:$i]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 in @ 0.49/0.84 X18 @ X12 ) => 0.49/0.84 ( 0.49/0.84 in @ 0.49/0.84 ( 0.49/0.84 X16 @ X18 ) @ 0.49/0.84 X14 ) ) ) => 0.49/0.84 ( 0.49/0.84 in @ 0.49/0.84 ( 0.49/0.84 dpsetconstr 0.49/0.84 @ 0.49/0.84 X12 @ 0.49/0.84 X14 @ 0.49/0.84 ( 0.49/0.84 ^[ 0.49/0.84 V_3:$i, 0.49/0.84 V_4:$i]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 X16 @ V_3 ) = 0.49/0.84 ( 0.49/0.84 V_4 ) ) ) ) @ 0.49/0.84 ( 0.49/0.84 funcSet @ 0.49/0.84 X12 @ X14 ) ) ) ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 brelnall1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 brelnall2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ex1E2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 funcGraphProp1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 funcGraphProp3 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 funcGraphProp2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 funcextLem ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 funcGraphProp4 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 subbreln ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 eqbreln ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 funcext ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 funcext2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ap2apEq1 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ap2apEq2 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ![ 0.49/0.84 X20:$i, 0.49/0.84 X22:$i, 0.49/0.84 X24:( 0.49/0.84 $i > $i )]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ![ 0.49/0.84 X26:$i]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 in @ 0.49/0.84 X26 @ X20 ) => 0.49/0.84 ( 0.49/0.84 in @ 0.49/0.84 ( 0.49/0.84 X24 @ X26 ) @ 0.49/0.84 X22 ) ) ) => 0.49/0.84 ( 0.49/0.84 ![ 0.49/0.84 X28:$i]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 in @ 0.49/0.84 X28 @ X20 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ap @ 0.49/0.84 X20 @ 0.49/0.84 X22 @ 0.49/0.84 ( 0.49/0.84 dpsetconstr 0.49/0.84 @ 0.49/0.84 X20 @ 0.49/0.84 X22 @ 0.49/0.84 ( 0.49/0.84 ^[ 0.49/0.84 V_5:$i, 0.49/0.84 V_6:$i]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 X24 @ V_5 ) = 0.49/0.84 ( 0.49/0.84 V_6 ) ) ) ) @ 0.49/0.84 X28 ) = 0.49/0.84 ( 0.49/0.84 X24 @ X28 ) ) ) ) ) ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ![ 0.49/0.84 X30:$i, 0.49/0.84 X32:$i, 0.49/0.84 X34:$i]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 func @ 0.49/0.84 X30 @ 0.49/0.84 X32 @ X34 ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 dpsetconstr 0.49/0.84 @ 0.49/0.84 X30 @ 0.49/0.84 X32 @ 0.49/0.84 ( 0.49/0.84 ^[ 0.49/0.84 V_7:$i, 0.49/0.84 V_8:$i]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ap @ 0.49/0.84 X30 @ 0.49/0.84 X32 @ 0.49/0.84 X34 @ V_7 ) = 0.49/0.84 ( 0.49/0.84 V_8 ) ) ) ) = 0.49/0.84 ( 0.49/0.84 X34 ) ) ) ) => 0.49/0.84 ( 0.49/0.84 ![ 0.49/0.84 X36:$i, 0.49/0.84 X38:$i, 0.49/0.84 X40:( 0.49/0.84 $i > $i )]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 ![ 0.49/0.84 X42:$i]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 in @ 0.49/0.84 X42 @ X36 ) => 0.49/0.84 ( 0.49/0.84 in @ 0.49/0.84 ( 0.49/0.84 X40 @ X42 ) @ 0.49/0.84 X38 ) ) ) => 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 dpsetconstr 0.49/0.84 @ 0.49/0.84 X36 @ 0.49/0.84 X38 @ 0.49/0.84 ( 0.49/0.84 ^[ 0.49/0.84 V_9:$i, 0.49/0.84 V_10:$i]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 X40 @ V_9 ) = 0.49/0.84 ( 0.49/0.84 V_10 ) ) ) ) = 0.49/0.84 ( 0.49/0.84 dpsetconstr 0.49/0.84 @ 0.49/0.84 X36 @ 0.49/0.84 X38 @ 0.49/0.84 ( 0.49/0.84 ^[ 0.49/0.84 V_11:$i, 0.49/0.84 V_12:$i]: 0.49/0.84 ( 0.49/0.84 ( 0.49/0.84 X40 @ 0.49/0.84 V_11 ) = 0.49/0.84 ( 0.49/0.84 V_12 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 0.49/0.84 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.49/0.84 thf(zip_derived_cl108, plain, 0.49/0.84 (((dpsetconstr @ sk__18 @ sk__19 @ 0.49/0.84 (^[Y0 : $i,Y1 : $i]: (((sk__20 @ Y0) = (Y1))))) 0.49/0.84 != (dpsetconstr @ sk__18 @ sk__19 @ 0.49/0.84 (^[Y0 : $i,Y1 : $i]: (((sk__20 @ Y0) = (Y1))))))), 0.49/0.84 inference('cnf', [status(esa)], [zf_stmt_1])). 0.49/0.84 0.49/0.84 % SZS output end Refutation 0.49/0.84 0.49/0.84 0.49/0.84 % Terminating... 1.68/0.99 % Runner terminated. 1.68/1.00 % Zipperpin 1.5 exiting 1.68/1.00 EOF