0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 180 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39 0.21/0.46 % Computer : n007.cluster.edu 0.21/0.46 % Model : x86_64 x86_64 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.21/0.46 % Memory : 8046.5625MB 0.21/0.46 % OS : Linux 6.8.0-71-generic 0.21/0.46 % CPULimit : 1440 0.21/0.46 % WCLimit : 180 0.21/0.46 % DateTime : Mon Jul 27 09:24:48 UTC 2026 0.21/0.46 % CPUTime : 0.21/0.46 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 180 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39 1.28/1.25 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 3.12/1.87 % [INFO] Parsing done (614ms). 3.12/1.89 % [INFO] Running in sequential loop mode. 4.25/2.34 % [INFO] eprover registered as external prover. 4.25/2.34 % [INFO] Scanning for conjecture ... 7.07/3.30 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 7.78/3.56 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 7.78/3.56 % [INFO] Problem is higher-order (TPTP THF). 7.78/3.57 % [INFO] Type checking passed. 7.78/3.58 % [CONFIG] Using configuration: timeout(180) with strategy. Searching for refutation ... 215.85/114.57 % [INFO] Killing All external provers ... 215.85/114.58 % Time passed: 113918ms (effective reasoning time: 112678ms) 215.85/114.58 % Solved by strategy 215.85/114.58 % Axioms used in derivation (0): 215.85/114.58 % No. of inferences in proof: 15 215.85/114.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 113918 ms resp. 112678 ms w/o parsing 218.48/115.35 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 218.48/115.35 thf(in_decl, type, in: ($i > ($i > $o))). 218.48/115.35 thf(exu_decl, type, exu: (($i > $o) > $o)). 218.48/115.35 thf(setextAx_decl, type, setextAx: $o). 218.48/115.35 thf(emptyset_decl, type, emptyset: $i). 218.48/115.35 thf(emptysetAx_decl, type, emptysetAx: $o). 218.48/115.35 thf(setadjoin_decl, type, setadjoin: ($i > ($i > $i))). 218.48/115.35 thf(setadjoinAx_decl, type, setadjoinAx: $o). 218.48/115.35 thf(powerset_decl, type, powerset: ($i > $i)). 218.48/115.35 thf(powersetAx_decl, type, powersetAx: $o). 218.48/115.35 thf(setunion_decl, type, setunion: ($i > $i)). 218.48/115.35 thf(setunionAx_decl, type, setunionAx: $o). 218.48/115.35 thf(omega_decl, type, omega: $i). 218.48/115.35 thf(omega0Ax_decl, type, omega0Ax: $o). 218.48/115.35 thf(omegaSAx_decl, type, omegaSAx: $o). 218.48/115.35 thf(omegaIndAx_decl, type, omegaIndAx: $o). 218.48/115.35 thf(replAx_decl, type, replAx: $o). 218.48/115.35 thf(foundationAx_decl, type, foundationAx: $o). 218.48/115.35 thf(wellorderingAx_decl, type, wellorderingAx: $o). 218.48/115.35 thf(descr_decl, type, descr: (($i > $o) > $i)). 218.48/115.35 thf(descrp_decl, type, descrp: $o). 218.48/115.35 thf(dsetconstr_decl, type, dsetconstr: ($i > (($i > $o) > $i))). 218.48/115.35 thf(dsetconstrI_decl, type, dsetconstrI: $o). 218.48/115.35 thf(dsetconstrEL_decl, type, dsetconstrEL: $o). 218.48/115.35 thf(dsetconstrER_decl, type, dsetconstrER: $o). 218.48/115.35 thf(exuE1_decl, type, exuE1: $o). 218.48/115.35 thf(prop2set_decl, type, prop2set: ($o > $i)). 218.48/115.35 thf(prop2setE_decl, type, prop2setE: $o). 218.48/115.35 thf(emptysetE_decl, type, emptysetE: $o). 218.48/115.35 thf(emptysetimpfalse_decl, type, emptysetimpfalse: $o). 218.48/115.35 thf(notinemptyset_decl, type, notinemptyset: $o). 218.48/115.35 thf(exuE3e_decl, type, exuE3e: $o). 218.48/115.35 thf(setext_decl, type, setext: $o). 218.48/115.35 thf(emptyI_decl, type, emptyI: $o). 218.48/115.35 thf(noeltsimpempty_decl, type, noeltsimpempty: $o). 218.48/115.35 thf(setbeta_decl, type, setbeta: $o). 218.48/115.35 thf(nonempty_decl, type, nonempty: ($i > $o)). 218.48/115.35 thf(nonemptyE1_decl, type, nonemptyE1: $o). 218.48/115.35 thf(nonemptyI_decl, type, nonemptyI: $o). 218.48/115.35 thf(nonemptyI1_decl, type, nonemptyI1: $o). 218.48/115.35 thf(setadjoinIL_decl, type, setadjoinIL: $o). 218.48/115.35 thf(emptyinunitempty_decl, type, emptyinunitempty: $o). 218.48/115.35 thf(setadjoinIR_decl, type, setadjoinIR: $o). 218.48/115.35 thf(setadjoinE_decl, type, setadjoinE: $o). 218.48/115.35 thf(setadjoinOr_decl, type, setadjoinOr: $o). 218.48/115.35 thf(setoftrueEq_decl, type, setoftrueEq: $o). 218.48/115.35 thf(powersetI_decl, type, powersetI: $o). 218.48/115.35 thf(emptyinPowerset_decl, type, emptyinPowerset: $o). 218.48/115.35 thf(emptyInPowerset_decl, type, emptyInPowerset: $o). 218.48/115.35 thf(powersetE_decl, type, powersetE: $o). 218.48/115.35 thf(setunionI_decl, type, setunionI: $o). 218.48/115.35 thf(setunionE_decl, type, setunionE: $o). 218.48/115.35 thf(subPowSU_decl, type, subPowSU: $o). 218.48/115.35 thf(exuE2_decl, type, exuE2: $o). 218.48/115.35 thf(nonemptyImpWitness_decl, type, nonemptyImpWitness: $o). 218.48/115.35 thf(uniqinunit_decl, type, uniqinunit: $o). 218.48/115.35 thf(notinsingleton_decl, type, notinsingleton: $o). 218.48/115.35 thf(eqinunit_decl, type, eqinunit: $o). 218.48/115.35 thf(singletonsswitch_decl, type, singletonsswitch: $o). 218.48/115.35 thf(upairsetE_decl, type, upairsetE: $o). 218.48/115.35 thf(upairsetIL_decl, type, upairsetIL: $o). 218.48/115.35 thf(upairsetIR_decl, type, upairsetIR: $o). 218.48/115.35 thf(emptyE1_decl, type, emptyE1: $o). 218.48/115.35 thf(vacuousDall_decl, type, vacuousDall: $o). 218.48/115.35 thf(quantDeMorgan1_decl, type, quantDeMorgan1: $o). 218.48/115.35 thf(quantDeMorgan2_decl, type, quantDeMorgan2: $o). 218.48/115.35 thf(quantDeMorgan3_decl, type, quantDeMorgan3: $o). 218.48/115.35 thf(quantDeMorgan4_decl, type, quantDeMorgan4: $o). 218.48/115.35 thf(prop2setI_decl, type, prop2setI: $o). 218.48/115.35 thf(set2prop_decl, type, set2prop: ($i > $o)). 218.48/115.35 thf(prop2set2propI_decl, type, prop2set2propI: $o). 218.48/115.35 thf(notdexE_decl, type, notdexE: $o). 218.48/115.35 thf(notdallE_decl, type, notdallE: $o). 218.48/115.35 thf(exuI1_decl, type, exuI1: $o). 218.48/115.35 thf(exuI3_decl, type, exuI3: $o). 218.48/115.35 thf(exuI2_decl, type, exuI2: $o). 218.48/115.35 thf(inCongP_decl, type, inCongP: $o). 218.48/115.35 thf(in__Cong_decl, type, in__Cong: $o). 218.48/115.35 thf(exuE3u_decl, type, exuE3u: $o). 218.48/115.35 thf(exu__Cong_decl, type, exu__Cong: $o). 218.48/115.35 thf(emptyset__Cong_decl, type, emptyset__Cong: $o). 218.48/115.35 thf(setadjoin__Cong_decl, type, setadjoin__Cong: $o). 218.48/115.35 thf(powerset__Cong_decl, type, powerset__Cong: $o). 218.48/115.35 thf(setunion__Cong_decl, type, setunion__Cong: $o). 218.48/115.35 thf(omega__Cong_decl, type, omega__Cong: $o). 218.48/115.35 thf(exuEu_decl, type, exuEu: $o). 218.48/115.35 thf(descr__Cong_decl, type, descr__Cong: $o). 218.48/115.35 thf(dsetconstr__Cong_decl, type, dsetconstr__Cong: $o). 218.48/115.35 thf(subset_decl, type, subset: ($i > ($i > $o))). 218.48/115.35 thf(subsetI1_decl, type, subsetI1: $o). 218.48/115.35 thf(eqimpsubset2_decl, type, eqimpsubset2: $o). 218.48/115.35 thf(eqimpsubset1_decl, type, eqimpsubset1: $o). 218.48/115.35 thf(subsetI2_decl, type, subsetI2: $o). 218.48/115.35 thf(emptysetsubset_decl, type, emptysetsubset: $o). 218.48/115.35 thf(subsetE_decl, type, subsetE: $o). 218.48/115.35 thf(subsetE2_decl, type, subsetE2: $o). 218.48/115.35 thf(notsubsetI_decl, type, notsubsetI: $o). 218.48/115.35 thf(notequalI1_decl, type, notequalI1: $o). 218.48/115.35 thf(notequalI2_decl, type, notequalI2: $o). 218.48/115.35 thf(subsetRefl_decl, type, subsetRefl: $o). 218.48/115.35 thf(subsetTrans_decl, type, subsetTrans: $o). 218.48/115.35 thf(setadjoinSub_decl, type, setadjoinSub: $o). 218.48/115.35 thf(setadjoinSub2_decl, type, setadjoinSub2: $o). 218.48/115.35 thf(subset2powerset_decl, type, subset2powerset: $o). 218.48/115.35 thf(setextsub_decl, type, setextsub: $o). 218.48/115.35 thf(subsetemptysetimpeq_decl, type, subsetemptysetimpeq: $o). 218.48/115.35 thf(powersetI1_decl, type, powersetI1: $o). 218.48/115.35 thf(powersetE1_decl, type, powersetE1: $o). 218.48/115.35 thf(inPowerset_decl, type, inPowerset: $o). 218.48/115.35 thf(powersetsubset_decl, type, powersetsubset: $o). 218.48/115.35 thf(sepInPowerset_decl, type, sepInPowerset: $o). 218.48/115.35 thf(sepSubset_decl, type, sepSubset: $o). 218.48/115.35 thf(binunion_decl, type, binunion: ($i > ($i > $i))). 218.48/115.35 thf(binunionIL_decl, type, binunionIL: $o). 218.48/115.35 thf(upairset2IR_decl, type, upairset2IR: $o). 218.48/115.35 thf(binunionIR_decl, type, binunionIR: $o). 218.48/115.35 thf(binunionEcases_decl, type, binunionEcases: $o). 218.48/115.35 thf(binunionE_decl, type, binunionE: $o). 218.48/115.35 thf(binunionLsub_decl, type, binunionLsub: $o). 218.48/115.35 thf(binunionRsub_decl, type, binunionRsub: $o). 218.48/115.35 thf(binintersect_decl, type, binintersect: ($i > ($i > $i))). 218.48/115.35 thf(binintersectI_decl, type, binintersectI: $o). 218.48/115.35 thf(binintersectSubset5_decl, type, binintersectSubset5: $o). 218.48/115.35 thf(binintersectEL_decl, type, binintersectEL: $o). 218.48/115.35 thf(binintersectLsub_decl, type, binintersectLsub: $o). 218.48/115.35 thf(binintersectSubset2_decl, type, binintersectSubset2: $o). 218.48/115.35 thf(binintersectSubset3_decl, type, binintersectSubset3: $o). 218.48/115.35 thf(binintersectER_decl, type, binintersectER: $o). 218.48/115.35 thf(disjointsetsI1_decl, type, disjointsetsI1: $o). 218.48/115.35 thf(binintersectRsub_decl, type, binintersectRsub: $o). 218.48/115.35 thf(binintersectSubset4_decl, type, binintersectSubset4: $o). 218.48/115.35 thf(binintersectSubset1_decl, type, binintersectSubset1: $o). 218.48/115.35 thf(bs114d_decl, type, bs114d: $o). 218.48/115.35 thf(setminus_decl, type, setminus: ($i > ($i > $i))). 218.48/115.35 thf(setminusI_decl, type, setminusI: $o). 218.48/115.35 thf(setminusEL_decl, type, setminusEL: $o). 218.48/115.35 thf(setminusER_decl, type, setminusER: $o). 218.48/115.35 thf(setminusSubset2_decl, type, setminusSubset2: $o). 218.48/115.35 thf(setminusERneg_decl, type, setminusERneg: $o). 218.48/115.35 thf(setminusELneg_decl, type, setminusELneg: $o). 218.48/115.35 thf(setminusILneg_decl, type, setminusILneg: $o). 218.48/115.35 thf(setminusIRneg_decl, type, setminusIRneg: $o). 218.48/115.35 thf(setminusLsub_decl, type, setminusLsub: $o). 218.48/115.35 thf(setminusSubset1_decl, type, setminusSubset1: $o). 218.48/115.35 thf(symdiff_decl, type, symdiff: ($i > ($i > $i))). 218.48/115.35 thf(symdiffE_decl, type, symdiffE: $o). 218.48/115.35 thf(symdiffI1_decl, type, symdiffI1: $o). 218.48/115.35 thf(symdiffI2_decl, type, symdiffI2: $o). 218.48/115.35 thf(symdiffIneg1_decl, type, symdiffIneg1: $o). 218.48/115.35 thf(symdiffIneg2_decl, type, symdiffIneg2: $o). 218.48/115.35 thf(iskpair_decl, type, iskpair: ($i > $o)). 218.48/115.35 thf(secondinupair_decl, type, secondinupair: $o). 218.48/115.35 thf(setukpairIL_decl, type, setukpairIL: $o). 218.48/115.35 thf(setukpairIR_decl, type, setukpairIR: $o). 218.48/115.35 thf(kpairiskpair_decl, type, kpairiskpair: $o). 218.48/115.35 thf(kpair_decl, type, kpair: ($i > ($i > $i))). 218.48/115.35 thf(kpairp_decl, type, kpairp: $o). 218.48/115.35 thf(cartprod_decl, type, cartprod: ($i > ($i > $i))). 218.48/115.35 thf(singletonsubset_decl, type, singletonsubset: $o). 218.48/115.35 thf(singletoninpowerset_decl, type, singletoninpowerset: $o). 218.48/115.35 thf(singletoninpowunion_decl, type, singletoninpowunion: $o). 218.48/115.35 thf(upairset2E_decl, type, upairset2E: $o). 218.48/115.35 thf(upairsubunion_decl, type, upairsubunion: $o). 218.48/115.35 thf(upairinpowunion_decl, type, upairinpowunion: $o). 218.48/115.35 thf(ubforcartprodlem1_decl, type, ubforcartprodlem1: $o). 218.48/115.35 thf(ubforcartprodlem2_decl, type, ubforcartprodlem2: $o). 218.48/115.35 thf(ubforcartprodlem3_decl, type, ubforcartprodlem3: $o). 218.48/115.35 thf(cartprodpairin_decl, type, cartprodpairin: $o). 218.48/115.35 thf(cartprodmempair1_decl, type, cartprodmempair1: $o). 218.48/115.35 thf(cartprodmempair_decl, type, cartprodmempair: $o). 218.48/115.35 thf(setunionE2_decl, type, setunionE2: $o). 218.48/115.35 thf(setunionsingleton1_decl, type, setunionsingleton1: $o). 218.48/115.35 thf(setunionsingleton2_decl, type, setunionsingleton2: $o). 218.48/115.35 thf(setunionsingleton_decl, type, setunionsingleton: $o). 218.48/115.35 thf(singleton_decl, type, singleton: ($i > $o)). 218.48/115.35 thf(singletonprop_decl, type, singletonprop: $o). 218.48/115.35 thf(ex1_decl, type, ex1: ($i > (($i > $o) > $o))). 218.48/115.35 thf(ex1E1_decl, type, ex1E1: $o). 218.48/115.35 thf(ex1I_decl, type, ex1I: $o). 218.48/115.35 thf(ex1I2_decl, type, ex1I2: $o). 218.48/115.35 thf(singletonsuniq_decl, type, singletonsuniq: $o). 218.48/115.35 thf(setukpairinjL1_decl, type, setukpairinjL1: $o). 218.48/115.35 thf(kfstsingleton_decl, type, kfstsingleton: $o). 218.48/115.35 thf(theprop_decl, type, theprop: $o). 218.48/115.35 thf(kfst_decl, type, kfst: ($i > $i)). 218.48/115.35 thf(kfstpairEq_decl, type, kfstpairEq: $o). 218.48/115.35 thf(cartprodfstin_decl, type, cartprodfstin: $o). 218.48/115.35 thf(setukpairinjL2_decl, type, setukpairinjL2: $o). 218.48/115.35 thf(setukpairinjL_decl, type, setukpairinjL: $o). 218.48/115.35 thf(setukpairinjR11_decl, type, setukpairinjR11: $o). 218.48/115.35 thf(setukpairinjR12_decl, type, setukpairinjR12: $o). 218.48/115.35 thf(setukpairinjR1_decl, type, setukpairinjR1: $o). 218.48/115.35 thf(upairequniteq_decl, type, upairequniteq: $o). 218.48/115.35 thf(setukpairinjR2_decl, type, setukpairinjR2: $o). 218.48/115.35 thf(setukpairinjR_decl, type, setukpairinjR: $o). 218.48/115.35 thf(ksndsingleton_decl, type, ksndsingleton: $o). 218.48/115.35 thf(ksnd_decl, type, ksnd: ($i > $i)). 218.48/115.35 thf(ksndpairEq_decl, type, ksndpairEq: $o). 218.48/115.35 thf(kpairsurjEq_decl, type, kpairsurjEq: $o). 218.48/115.35 thf(cartprodsndin_decl, type, cartprodsndin: $o). 218.48/115.35 thf(cartprodpairmemEL_decl, type, cartprodpairmemEL: $o). 218.48/115.35 thf(cartprodpairmemER_decl, type, cartprodpairmemER: $o). 218.48/115.35 thf(cartprodmempaircEq_decl, type, cartprodmempaircEq: $o). 218.48/115.35 thf(cartprodfstpairEq_decl, type, cartprodfstpairEq: $o). 218.48/115.35 thf(cartprodsndpairEq_decl, type, cartprodsndpairEq: $o). 218.48/115.35 thf(cartprodpairsurjEq_decl, type, cartprodpairsurjEq: $o). 218.48/115.35 thf(breln_decl, type, breln: ($i > ($i > ($i > $o)))). 218.48/115.35 thf(dpsetconstr_decl, type, dpsetconstr: ($i > ($i > (($i > ($i > $o)) > $i)))). 218.48/115.35 thf(dpsetconstrI_decl, type, dpsetconstrI: $o). 218.48/115.35 thf(dpsetconstrSub_decl, type, dpsetconstrSub: $o). 218.48/115.35 thf(setOfPairsIsBReln_decl, type, setOfPairsIsBReln: $o). 218.48/115.35 thf(dpsetconstrERa_decl, type, dpsetconstrERa: $o). 218.48/115.35 thf(dpsetconstrEL1_decl, type, dpsetconstrEL1: $o). 218.48/115.35 thf(dpsetconstrEL2_decl, type, dpsetconstrEL2: $o). 218.48/115.35 thf(dpsetconstrER_decl, type, dpsetconstrER: $o). 218.48/115.35 thf(func_decl, type, func: ($i > ($i > ($i > $o)))). 218.48/115.35 thf(funcSet_decl, type, funcSet: ($i > ($i > $i))). 218.48/115.35 thf(funcImageSingleton_decl, type, funcImageSingleton: $o). 218.48/115.35 thf(apProp_decl, type, apProp: $o). 218.48/115.35 thf(ap_decl, type, ap: ($i > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(app_decl, type, app: $o). 218.48/115.35 thf(infuncsetfunc_decl, type, infuncsetfunc: $o). 218.48/115.35 thf(ap2p_decl, type, ap2p: $o). 218.48/115.35 thf(funcinfuncset_decl, type, funcinfuncset: $o). 218.48/115.35 thf(lamProp_decl, type, lamProp: $o). 218.48/115.35 thf(lam_decl, type, lam: ($i > ($i > (($i > $i) > $i)))). 218.48/115.35 thf(lamp_decl, type, lamp: $o). 218.48/115.35 thf(lam2p_decl, type, lam2p: $o). 218.48/115.35 thf(brelnall1_decl, type, brelnall1: $o). 218.48/115.35 thf(brelnall2_decl, type, brelnall2: $o). 218.48/115.35 thf(ex1E2_decl, type, ex1E2: $o). 218.48/115.35 thf(funcGraphProp1_decl, type, funcGraphProp1: $o). 218.48/115.35 thf(funcGraphProp3_decl, type, funcGraphProp3: $o). 218.48/115.35 thf(funcGraphProp2_decl, type, funcGraphProp2: $o). 218.48/115.35 thf(funcextLem_decl, type, funcextLem: $o). 218.48/115.35 thf(funcGraphProp4_decl, type, funcGraphProp4: $o). 218.48/115.35 thf(subbreln_decl, type, subbreln: $o). 218.48/115.35 thf(eqbreln_decl, type, eqbreln: $o). 218.48/115.35 thf(funcext_decl, type, funcext: $o). 218.48/115.35 thf(funcext2_decl, type, funcext2: $o). 218.48/115.35 thf(ap2apEq1_decl, type, ap2apEq1: $o). 218.48/115.35 thf(ap2apEq2_decl, type, ap2apEq2: $o). 218.48/115.35 thf(beta1_decl, type, beta1: $o). 218.48/115.35 thf(eta1_decl, type, eta1: $o). 218.48/115.35 thf(lam2lamEq_decl, type, lam2lamEq: $o). 218.48/115.35 thf(beta2_decl, type, beta2: $o). 218.48/115.35 thf(eta2_decl, type, eta2: $o). 218.48/115.35 thf(iffalseProp1_decl, type, iffalseProp1: $o). 218.48/115.35 thf(iffalseProp2_decl, type, iffalseProp2: $o). 218.48/115.35 thf(iftrueProp1_decl, type, iftrueProp1: $o). 218.48/115.35 thf(iftrueProp2_decl, type, iftrueProp2: $o). 218.48/115.35 thf(ifSingleton_decl, type, ifSingleton: $o). 218.48/115.35 thf(if_decl, type, if: ($i > ($o > ($i > ($i > $i))))). 218.48/115.35 thf(ifp_decl, type, ifp: $o). 218.48/115.35 thf(theeq_decl, type, theeq: $o). 218.48/115.35 thf(iftrue_decl, type, iftrue: $o). 218.48/115.35 thf(iffalse_decl, type, iffalse: $o). 218.48/115.35 thf(iftrueorfalse_decl, type, iftrueorfalse: $o). 218.48/115.35 thf(binintersectT_lem_decl, type, binintersectT_lem: $o). 218.48/115.35 thf(binunionT_lem_decl, type, binunionT_lem: $o). 218.48/115.35 thf(powersetT_lem_decl, type, powersetT_lem: $o). 218.48/115.35 thf(setminusT_lem_decl, type, setminusT_lem: $o). 218.48/115.35 thf(complementT_lem_decl, type, complementT_lem: $o). 218.48/115.35 thf(setextT_decl, type, setextT: $o). 218.48/115.35 thf(subsetTI_decl, type, subsetTI: $o). 218.48/115.35 thf(powersetTI1_decl, type, powersetTI1: $o). 218.48/115.35 thf(powersetTE1_decl, type, powersetTE1: $o). 218.48/115.35 thf(complementTI1_decl, type, complementTI1: $o). 218.48/115.35 thf(sk1_decl, type, sk1: ($i > ($i > $i))). 218.48/115.35 thf(sk2_decl, type, sk2: ($i > $i)). 218.48/115.35 thf(sk3_decl, type, sk3: ($i > (($i > ($i > $o)) > $i))). 218.48/115.35 thf(sk4_decl, type, sk4: ($i > ($i > (($i > ($i > $o)) > $i)))). 218.48/115.35 thf(sk5_decl, type, sk5: ($i > (($i > ($i > $o)) > $i))). 218.48/115.35 thf(sk6_decl, type, sk6: ($i > $i)). 218.48/115.35 thf(sk7_decl, type, sk7: ($i > $i)). 218.48/115.35 thf(sk8_decl, type, sk8: ($i > ($i > ($i > $i)))). 218.48/115.35 thf(sk9_decl, type, sk9: ($i > ($i > $o))). 218.48/115.35 thf(sk10_decl, type, sk10: ($i > ($i > $i))). 218.48/115.35 thf(sk11_decl, type, sk11: ($i > ($i > $i))). 218.48/115.35 thf(sk12_decl, type, sk12: ($i > ($i > $i))). 218.48/115.35 thf(sk13_decl, type, sk13: ($i > (($i > $o) > $i))). 218.48/115.35 thf(sk14_decl, type, sk14: ($i > (($i > $o) > $i))). 218.48/115.35 thf(sk15_decl, type, sk15: (($i > $o) > $i)). 218.48/115.35 thf(sk16_decl, type, sk16: ($i > ($i > $i))). 218.48/115.35 thf(sk17_decl, type, sk17: ($i > ($i > $i))). 218.48/115.35 thf(sk18_decl, type, sk18: ($i > $i)). 218.48/115.35 thf(sk19_decl, type, sk19: ($i > $i)). 218.48/115.35 thf(sk20_decl, type, sk20: ($i > $i)). 218.48/115.35 thf(sk21_decl, type, sk21: ($i > ($i > $i))). 218.48/115.35 thf(sk22_decl, type, sk22: ($o > ($i > ($i > $i)))). 218.48/115.35 thf(sk23_decl, type, sk23: ($i > (($i > $o) > $i))). 218.48/115.35 thf(sk24_decl, type, sk24: (($i > $o) > $i)). 218.48/115.35 thf(sk25_decl, type, sk25: ($i > $i)). 218.48/115.35 thf(sk26_decl, type, sk26: (($i > $o) > ($i > $i))). 218.48/115.35 thf(sk27_decl, type, sk27: (($i > $o) > ($i > $i))). 218.48/115.35 thf(sk28_decl, type, sk28: (($i > $o) > ($i > $i))). 218.48/115.35 thf(sk29_decl, type, sk29: (($i > $o) > ($i > $i))). 218.48/115.35 thf(sk30_decl, type, sk30: (($i > $o) > ($i > $i))). 218.48/115.35 thf(sk31_decl, type, sk31: (($i > $o) > ($i > $i))). 218.48/115.35 thf(sk32_decl, type, sk32: (($i > $o) > $i)). 218.48/115.35 thf(sk33_decl, type, sk33: (($i > $o) > $i)). 218.48/115.35 thf(sk34_decl, type, sk34: (($i > $o) > $i)). 218.48/115.35 thf(sk35_decl, type, sk35: ($i > (($i > $o) > $i))). 218.48/115.35 thf(sk36_decl, type, sk36: (($i > $o) > $i)). 218.48/115.35 thf(sk37_decl, type, sk37: ($i > (($i > $o) > $i))). 218.48/115.35 thf(sk38_decl, type, sk38: (($i > $o) > (($i > $o) > $i))). 218.48/115.35 thf(sk39_decl, type, sk39: (($i > $o) > (($i > $o) > $i))). 218.48/115.35 thf(sk40_decl, type, sk40: ($i > (($i > $o) > $i))). 218.48/115.35 thf(sk41_decl, type, sk41: (($i > $o) > (($i > $o) > $o))). 218.48/115.35 thf(sk42_decl, type, sk42: (($i > $o) > (($i > $o) > $i))). 218.48/115.35 thf(sk43_decl, type, sk43: (($i > $o) > (($i > $o) > $i))). 218.48/115.35 thf(sk44_decl, type, sk44: ($i > (($i > $o) > (($i > $o) > $i)))). 218.48/115.35 thf(sk45_decl, type, sk45: ($i > (($i > $o) > (($i > $o) > $i)))). 218.48/115.35 thf(sk46_decl, type, sk46: (($i > $o) > (($i > $o) > ($i > ($i > $i))))). 218.48/115.35 thf(sk47_decl, type, sk47: (($i > $o) > (($i > $o) > ($i > ($i > $i))))). 218.48/115.35 thf(sk48_decl, type, sk48: ($i > ($i > $i))). 218.48/115.35 thf(sk49_decl, type, sk49: ($i > ($i > $i))). 218.48/115.35 thf(sk50_decl, type, sk50: ($i > ($i > $i))). 218.48/115.35 thf(sk51_decl, type, sk51: ($i > ($i > ($i > $i)))). 218.48/115.35 thf(sk52_decl, type, sk52: ($i > ($i > ($i > $i)))). 218.48/115.35 thf(sk53_decl, type, sk53: ($i > ($i > $i))). 218.48/115.35 thf(sk54_decl, type, sk54: (($i > $o) > ($i > $i))). 218.48/115.35 thf(sk55_decl, type, sk55: (($i > $o) > ($i > $i))). 218.48/115.35 thf(sk56_decl, type, sk56: (($i > $o) > ($i > $i))). 218.48/115.35 thf(sk57_decl, type, sk57: ($i > (($i > $o) > ($i > $i)))). 218.48/115.35 thf(sk58_decl, type, sk58: (($i > $o) > ($i > $i))). 218.48/115.35 thf(sk59_decl, type, sk59: (($i > $o) > ($i > $i))). 218.48/115.35 thf(sk60_decl, type, sk60: (($i > $i) > ($i > ($i > $i)))). 218.48/115.35 thf(sk61_decl, type, sk61: (($i > $i) > ($i > ($i > $i)))). 218.48/115.35 thf(sk62_decl, type, sk62: (($i > $i) > ($i > ($i > $i)))). 218.48/115.35 thf(sk63_decl, type, sk63: (($i > $o) > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(sk64_decl, type, sk64: (($i > $o) > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(sk65_decl, type, sk65: (($i > $o) > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(sk66_decl, type, sk66: (($i > $o) > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(sk67_decl, type, sk67: ($i > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(sk68_decl, type, sk68: ($i > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(sk69_decl, type, sk69: ($i > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(sk70_decl, type, sk70: ($i > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(sk71_decl, type, sk71: ($i > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(sk72_decl, type, sk72: ($i > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(sk73_decl, type, sk73: ($i > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(sk74_decl, type, sk74: ($i > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(sk75_decl, type, sk75: ($i > ($i > ($i > ($i > $i))))). 218.48/115.35 thf(sk76_decl, type, sk76: (($i > $i) > ($i > ($i > $i)))). 218.48/115.35 thf(sk77_decl, type, sk77: (($i > $i) > ($i > ($i > $i)))). 218.48/115.35 thf(sk78_decl, type, sk78: ($i > ($i > ($i > $i)))). 218.48/115.35 thf(sk79_decl, type, sk79: ($i > ($i > ($i > $i)))). 218.48/115.35 thf(sk80_decl, type, sk80: ($i > ($i > ($i > $i)))). 218.48/115.35 thf(sk81_decl, type, sk81: ($i > ($i > ($i > $i)))). 218.48/115.35 thf(sk82_decl, type, sk82: $i). 218.48/115.35 thf(sk83_decl, type, sk83: $i). 218.48/115.35 thf(sk84_decl, type, sk84: $i). 218.48/115.35 thf(exu_def, definition, exu = (^ [A:($i > $o)]: ? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) ). 218.48/115.35 thf(setextAx_def, definition, setextAx = (! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) = (in @ C @ B))) => (A = B))) ). 218.48/115.35 thf(emptysetAx_def, definition, emptysetAx = (! [A:$i]: ~ (in @ A @ emptyset)) ). 218.48/115.35 thf(setadjoinAx_def, definition, setadjoinAx = (! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) = ((C = A) | (in @ C @ B)))) ). 218.48/115.35 thf(powersetAx_def, definition, powersetAx = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) = (! [C:$i]: ((in @ C @ B) => (in @ C @ A))))) ). 218.48/115.35 thf(setunionAx_def, definition, setunionAx = (! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) = (? [C:$i]: ((in @ B @ C) & (in @ C @ A))))) ). 218.48/115.35 thf(omega0Ax_def, definition, omega0Ax = (in @ emptyset @ omega) ). 218.48/115.35 thf(omegaSAx_def, definition, omegaSAx = (! [A:$i]: ((in @ A @ omega) => (in @ (setadjoin @ A @ A) @ omega))) ). 218.48/115.35 thf(omegaIndAx_def, definition, omegaIndAx = (! [A:$i]: (((in @ emptyset @ A) & ! [B:$i]: (((in @ B @ omega) & (in @ B @ A)) => (in @ (setadjoin @ B @ B) @ A))) => (! [B:$i]: ((in @ B @ omega) => (in @ B @ A))))) ). 218.48/115.35 thf(replAx_def, definition, replAx = (! [A:($i > ($i > $o)),B:$i]: ((! [C:$i]: ((in @ C @ B) => (exu @ (A @ C)))) => (? [C:$i]: ! [D:$i]: ((in @ D @ C) = (? [E:$i]: ((in @ E @ B) & (A @ E @ D))))))) ). 218.48/115.35 thf(foundationAx_def, definition, foundationAx = (! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (? [B:$i]: ((in @ B @ A) & ~ (? [C:$i]: ((in @ C @ B) & (in @ C @ A))))))) ). 218.48/115.35 thf(wellorderingAx_def, definition, wellorderingAx = (! [A:$i]: ? [B:$i]: (! [C:$i]: ((in @ C @ B) => (! [D:$i]: ((in @ D @ C) => (in @ D @ A)))) & ! [C:$i,D:$i]: (((in @ C @ A) & (in @ D @ A)) => ((! [E:$i]: ((in @ E @ B) => ((in @ C @ E) = (in @ D @ E)))) => (C = D))) & ! [C:$i,D:$i]: (((in @ C @ B) & (in @ D @ B)) => (! [E:$i]: ((in @ E @ C) => (in @ E @ D)) | ! [E:$i]: ((in @ E @ D) => (in @ E @ C)))) & ! [C:$i]: ((! [D:$i]: ((in @ D @ C) => (in @ D @ A)) & ? [D:$i]: (in @ D @ C)) => (? [D:$i,E:$i]: ((in @ D @ B) & (in @ E @ C) & ~ (? [F:$i]: ((in @ F @ D) & (in @ F @ C))) & ! [F:$i]: ((in @ F @ B) => (! [G:$i]: ((in @ G @ F) => (in @ G @ D)) | (in @ E @ F)))))))) ). 218.48/115.35 thf(descrp_def, definition, descrp = (! [A:($i > $o)]: ((exu @ (A)) => (A @ (descr @ (A))))) ). 218.48/115.35 thf(dsetconstrI_def, definition, dsetconstrI = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (in @ C @ (dsetconstr @ A @ (B)))))) ). 218.48/115.35 thf(dsetconstrEL_def, definition, dsetconstrEL = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (in @ C @ A))) ). 218.48/115.35 thf(dsetconstrER_def, definition, dsetconstrER = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (B @ C))) ). 218.48/115.35 thf(exuE1_def, definition, exuE1 = (! [A:($i > $o)]: ((exu @ (A)) => (? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))))) ). 218.48/115.35 thf(prop2setE_def, definition, prop2setE = (! [A:$o,B:$i]: ((in @ B @ (prop2set @ A)) => (A))) ). 218.48/115.35 thf(emptysetE_def, definition, emptysetE = (! [A:$i]: ((in @ A @ emptyset) => (! [B:$o]: (B)))) ). 218.48/115.35 thf(emptysetimpfalse_def, definition, emptysetimpfalse = (! [A:$i]: ((in @ A @ emptyset) => (($false)))) ). 218.48/115.35 thf(notinemptyset_def, definition, notinemptyset = (! [A:$i]: ~ (in @ A @ emptyset)) ). 218.48/115.35 thf(exuE3e_def, definition, exuE3e = (! [A:($i > $o)]: ((exu @ (A)) => (? [B:$i]: (A @ B)))) ). 218.48/115.35 thf(setext_def, definition, setext = (! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) => (in @ C @ B))) => ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (A = B)))) ). 218.48/115.35 thf(emptyI_def, definition, emptyI = (! [A:$i]: ((! [B:$i]: ~ (in @ B @ A)) => (A = emptyset))) ). 218.48/115.35 thf(noeltsimpempty_def, definition, noeltsimpempty = (! [A:$i]: ((! [B:$i]: ~ (in @ B @ A)) => (A = emptyset))) ). 218.48/115.35 thf(setbeta_def, definition, setbeta = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((in @ C @ (dsetconstr @ A @ (B))) = (B @ C)))) ). 218.48/115.35 thf(nonempty_def, definition, nonempty = (^ [A:$i]: (A != emptyset)) ). 218.48/115.35 thf(nonemptyE1_def, definition, nonemptyE1 = (! [A:$i]: ((nonempty @ A) => (? [B:$i]: (in @ B @ A)))) ). 218.48/115.35 thf(nonemptyI_def, definition, nonemptyI = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (nonempty @ (dsetconstr @ A @ (B)))))) ). 218.48/115.35 thf(nonemptyI1_def, definition, nonemptyI1 = (! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (nonempty @ A))) ). 218.48/115.35 thf(setadjoinIL_def, definition, setadjoinIL = (! [A:$i,B:$i]: (in @ A @ (setadjoin @ A @ B))) ). 218.48/115.35 thf(emptyinunitempty_def, definition, emptyinunitempty = (in @ emptyset @ (setadjoin @ emptyset @ emptyset)) ). 218.48/115.35 thf(setadjoinIR_def, definition, setadjoinIR = (! [A:$i,B:$i,C:$i]: ((in @ C @ B) => (in @ C @ (setadjoin @ A @ B)))) ). 218.48/115.35 thf(setadjoinE_def, definition, setadjoinE = (! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => (! [D:$o]: (((C = A) => (D)) => (((in @ C @ B) => (D)) => (D)))))) ). 218.48/115.35 thf(setadjoinOr_def, definition, setadjoinOr = (! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => ((C = A) | (in @ C @ B)))) ). 218.48/115.35 thf(setoftrueEq_def, definition, setoftrueEq = (! [A:$i]: ((dsetconstr @ A @ (^ [B:$i]: (($true)))) = A)) ). 218.48/115.35 thf(powersetI_def, definition, powersetI = (! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (in @ B @ (powerset @ A)))) ). 218.48/115.35 thf(emptyinPowerset_def, definition, emptyinPowerset = (! [A:$i]: (in @ emptyset @ (powerset @ A))) ). 218.48/115.35 thf(emptyInPowerset_def, definition, emptyInPowerset = (! [A:$i]: (in @ emptyset @ (powerset @ A))) ). 218.48/115.35 thf(powersetE_def, definition, powersetE = (! [A:$i,B:$i,C:$i]: ((in @ B @ (powerset @ A)) => ((in @ C @ B) => (in @ C @ A)))) ). 218.48/115.35 thf(setunionI_def, definition, setunionI = (! [A:$i,B:$i,C:$i]: ((in @ B @ C) => ((in @ C @ A) => (in @ B @ (setunion @ A))))) ). 218.48/115.35 thf(setunionE_def, definition, setunionE = (! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) => (! [C:$o]: ((! [D:$i]: ((in @ B @ D) => ((in @ D @ A) => (C)))) => (C))))) ). 218.48/115.35 thf(subPowSU_def, definition, subPowSU = (! [A:$i,B:$i]: ((in @ B @ A) => (in @ B @ (powerset @ (setunion @ A))))) ). 218.48/115.35 thf(exuE2_def, definition, exuE2 = (! [A:($i > $o)]: ((exu @ (A)) => (? [B:$i]: ! [C:$i]: ((A @ C) = (C = B))))) ). 218.48/115.35 thf(nonemptyImpWitness_def, definition, nonemptyImpWitness = (! [A:$i]: ((nonempty @ A) => (? [B:$i]: ((in @ B @ A) & (($true)))))) ). 218.48/115.35 thf(uniqinunit_def, definition, uniqinunit = (! [A:$i,B:$i]: ((in @ A @ (setadjoin @ B @ emptyset)) => (A = B))) ). 218.48/115.35 thf(notinsingleton_def, definition, notinsingleton = (! [A:$i,B:$i]: ((A != B) => (~ (in @ B @ (setadjoin @ A @ emptyset))))) ). 218.48/115.35 thf(eqinunit_def, definition, eqinunit = (! [A:$i,B:$i]: ((A = B) => (in @ A @ (setadjoin @ B @ emptyset)))) ). 218.48/115.35 thf(singletonsswitch_def, definition, singletonsswitch = (! [A:$i,B:$i]: ((in @ A @ (setadjoin @ B @ emptyset)) => (in @ B @ (setadjoin @ A @ emptyset)))) ). 218.48/115.35 thf(upairsetE_def, definition, upairsetE = (! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ (setadjoin @ B @ emptyset))) => ((C = A) | (C = B)))) ). 218.48/115.35 thf(upairsetIL_def, definition, upairsetIL = (! [A:$i,B:$i]: (in @ A @ (setadjoin @ A @ (setadjoin @ B @ emptyset)))) ). 218.48/115.35 thf(upairsetIR_def, definition, upairsetIR = (! [A:$i,B:$i]: (in @ B @ (setadjoin @ A @ (setadjoin @ B @ emptyset)))) ). 218.48/115.35 thf(emptyE1_def, definition, emptyE1 = (! [A:$i,B:($i > $o)]: ((? [C:$i]: ((in @ C @ A) & (B @ C))) => (((dsetconstr @ A @ (B)) = emptyset) => (($false))))) ). 218.48/115.35 thf(vacuousDall_def, definition, vacuousDall = (! [A:($i > $o),B:$i]: ((in @ B @ emptyset) => (A @ B))) ). 218.48/115.35 thf(quantDeMorgan1_def, definition, quantDeMorgan1 = (! [A:$i,B:($i > $o)]: ((~ (! [C:$i]: ((in @ C @ A) => (B @ C)))) => (? [C:$i]: ((in @ C @ A) & ~ (B @ C))))) ). 218.48/115.35 thf(quantDeMorgan2_def, definition, quantDeMorgan2 = (! [A:$i,B:($i > $o)]: ((! [C:$i]: ((in @ C @ A) => (~ (B @ C)))) => (~ (? [C:$i]: ((in @ C @ A) & (B @ C)))))) ). 218.48/115.35 thf(quantDeMorgan3_def, definition, quantDeMorgan3 = (! [A:$i,B:($i > $o)]: ((~ (? [C:$i]: ((in @ C @ A) & (B @ C)))) => (! [C:$i]: ((in @ C @ A) => (~ (B @ C)))))) ). 218.48/115.35 thf(quantDeMorgan4_def, definition, quantDeMorgan4 = (! [A:$i,B:($i > $o)]: ((? [C:$i]: ((in @ C @ A) & ~ (B @ C))) => (~ (! [C:$i]: ((in @ C @ A) => (B @ C)))))) ). 218.48/115.35 thf(prop2setI_def, definition, prop2setI = (! [A:$o]: ((A) => (in @ emptyset @ (prop2set @ A)))) ). 218.48/115.35 thf(prop2set2propI_def, definition, prop2set2propI = (! [A:$o]: ((A) => (set2prop @ (prop2set @ A)))) ). 218.48/115.35 thf(notdexE_def, definition, notdexE = (! [A:$i,B:($i > $o)]: ((~ (? [C:$i]: ((in @ C @ A) & (B @ C)))) => (! [C:$i]: ((in @ C @ A) => (~ (B @ C)))))) ). 218.48/115.35 thf(notdallE_def, definition, notdallE = (! [A:$i,B:($i > $o)]: ((~ (! [C:$i]: ((in @ C @ A) => (B @ C)))) => (? [C:$i]: ((in @ C @ A) & ~ (B @ C))))) ). 218.48/115.35 thf(exuI1_def, definition, exuI1 = (! [A:($i > $o)]: ((? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) => (exu @ (A)))) ). 218.48/115.35 thf(exuI3_def, definition, exuI3 = (! [A:($i > $o)]: ((? [B:$i]: (A @ B)) => ((! [B:$i,C:$i]: ((A @ B) => ((A @ C) => (B = C)))) => (exu @ (A))))) ). 218.48/115.35 thf(exuI2_def, definition, exuI2 = (! [A:($i > $o)]: ((? [B:$i]: ! [C:$i]: ((A @ C) = (C = B))) => (exu @ (A)))) ). 218.48/115.35 thf(inCongP_def, definition, inCongP = (! [A:$i,B:$i]: ((A = B) => (! [C:$i,D:$i]: ((C = D) => ((in @ C @ A) => (in @ D @ B)))))) ). 218.48/115.35 thf(in__Cong_def, definition, in__Cong = (! [A:$i,B:$i]: ((A = B) => (! [C:$i,D:$i]: ((C = D) => ((in @ C @ A) = (in @ D @ B)))))) ). 218.48/115.35 thf(exuE3u_def, definition, exuE3u = (! [A:($i > $o)]: ((exu @ (A)) => (! [B:$i,C:$i]: ((A @ B) => ((A @ C) => (B = C)))))) ). 218.48/115.35 thf(exu__Cong_def, definition, exu__Cong = (! [A:($i > $o),B:($i > $o)]: ((! [C:$i,D:$i]: ((C = D) => ((A @ C) = (B @ D)))) => ((exu @ (A)) = (exu @ (B))))) ). 218.48/115.35 thf(emptyset__Cong_def, definition, emptyset__Cong = (emptyset = emptyset) ). 218.48/115.35 thf(setadjoin__Cong_def, definition, setadjoin__Cong = (! [A:$i,B:$i]: ((A = B) => (! [C:$i,D:$i]: ((C = D) => ((setadjoin @ A @ C) = (setadjoin @ B @ D)))))) ). 218.48/115.35 thf(powerset__Cong_def, definition, powerset__Cong = (! [A:$i,B:$i]: ((A = B) => ((powerset @ A) = (powerset @ B)))) ). 218.48/115.35 thf(setunion__Cong_def, definition, setunion__Cong = (! [A:$i,B:$i]: ((A = B) => ((setunion @ A) = (setunion @ B)))) ). 218.48/115.35 thf(omega__Cong_def, definition, omega__Cong = (omega = omega) ). 218.48/115.35 thf(exuEu_def, definition, exuEu = (! [A:($i > $o)]: ((exu @ (A)) => (! [B:$i,C:$i]: ((A @ B) => ((A @ C) => (B = C)))))) ). 218.48/115.35 thf(descr__Cong_def, definition, descr__Cong = (! [A:($i > $o),B:($i > $o)]: ((! [C:$i,D:$i]: ((C = D) => ((A @ C) = (B @ D)))) => ((exu @ (A)) => ((exu @ (B)) => ((descr @ (A)) = (descr @ (B))))))) ). 218.48/115.35 thf(dsetconstr__Cong_def, definition, dsetconstr__Cong = (! [A:$i,B:$i]: ((A = B) => (! [C:($i > $o),D:($i > $o)]: ((! [E:$i]: ((in @ E @ A) => (! [F:$i]: ((in @ F @ B) => ((E = F) => ((C @ E) = (D @ F))))))) => ((dsetconstr @ A @ (C)) = (dsetconstr @ B @ (D))))))) ). 218.48/115.35 thf(subsetI1_def, definition, subsetI1 = (! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) => (in @ C @ B))) => (subset @ A @ B))) ). 218.48/115.35 thf(eqimpsubset2_def, definition, eqimpsubset2 = (! [A:$i,B:$i]: ((A = B) => (subset @ B @ A))) ). 218.48/115.35 thf(eqimpsubset1_def, definition, eqimpsubset1 = (! [A:$i,B:$i]: ((A = B) => (subset @ A @ B))) ). 218.48/115.35 thf(subsetI2_def, definition, subsetI2 = (! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) => (in @ C @ B))) => (subset @ A @ B))) ). 218.48/115.35 thf(emptysetsubset_def, definition, emptysetsubset = (! [A:$i]: (subset @ emptyset @ A)) ). 218.48/115.35 thf(subsetE_def, definition, subsetE = (! [A:$i,B:$i,C:$i]: ((subset @ A @ B) => ((in @ C @ A) => (in @ C @ B)))) ). 218.48/115.35 thf(subsetE2_def, definition, subsetE2 = (! [A:$i,B:$i,C:$i]: ((subset @ A @ B) => ((~ (in @ C @ B)) => (~ (in @ C @ A))))) ). 218.48/115.35 thf(notsubsetI_def, definition, notsubsetI = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => ((~ (in @ C @ B)) => (~ (subset @ A @ B))))) ). 218.48/115.35 thf(notequalI1_def, definition, notequalI1 = (! [A:$i,B:$i]: ((~ (subset @ A @ B)) => (A != B))) ). 218.48/115.35 thf(notequalI2_def, definition, notequalI2 = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => ((~ (in @ C @ B)) => (A != B)))) ). 218.48/115.35 thf(subsetRefl_def, definition, subsetRefl = (! [A:$i]: (subset @ A @ A)) ). 218.48/115.35 thf(subsetTrans_def, definition, subsetTrans = (! [A:$i,B:$i,C:$i]: ((subset @ A @ B) => ((subset @ B @ C) => (subset @ A @ C)))) ). 218.48/115.35 thf(setadjoinSub_def, definition, setadjoinSub = (! [A:$i,B:$i]: (subset @ B @ (setadjoin @ A @ B))) ). 218.48/115.35 thf(setadjoinSub2_def, definition, setadjoinSub2 = (! [A:$i,B:$i,C:$i]: ((subset @ A @ C) => (subset @ A @ (setadjoin @ B @ C)))) ). 218.48/115.35 thf(subset2powerset_def, definition, subset2powerset = (! [A:$i,B:$i]: ((subset @ A @ B) => (in @ A @ (powerset @ B)))) ). 218.48/115.35 thf(setextsub_def, definition, setextsub = (! [A:$i,B:$i]: ((subset @ A @ B) => ((subset @ B @ A) => (A = B)))) ). 218.48/115.35 thf(subsetemptysetimpeq_def, definition, subsetemptysetimpeq = (! [A:$i]: ((subset @ A @ emptyset) => (A = emptyset))) ). 218.48/115.35 thf(powersetI1_def, definition, powersetI1 = (! [A:$i,B:$i]: ((subset @ B @ A) => (in @ B @ (powerset @ A)))) ). 218.48/115.35 thf(powersetE1_def, definition, powersetE1 = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (subset @ B @ A))) ). 218.48/115.35 thf(inPowerset_def, definition, inPowerset = (! [A:$i]: (in @ A @ (powerset @ A))) ). 218.48/115.35 thf(powersetsubset_def, definition, powersetsubset = (! [A:$i,B:$i]: ((subset @ A @ B) => (subset @ (powerset @ A) @ (powerset @ B)))) ). 218.48/115.35 thf(sepInPowerset_def, definition, sepInPowerset = (! [A:$i,B:($i > $o)]: (in @ (dsetconstr @ A @ (B)) @ (powerset @ A))) ). 218.48/115.35 thf(sepSubset_def, definition, sepSubset = (! [A:$i,B:($i > $o)]: (subset @ (dsetconstr @ A @ (B)) @ A)) ). 218.48/115.35 thf(binunionIL_def, definition, binunionIL = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => (in @ C @ (binunion @ A @ B)))) ). 218.48/115.35 thf(upairset2IR_def, definition, upairset2IR = (! [A:$i,B:$i]: (in @ B @ (setadjoin @ A @ (setadjoin @ B @ emptyset)))) ). 218.48/115.35 thf(binunionIR_def, definition, binunionIR = (! [A:$i,B:$i,C:$i]: ((in @ C @ B) => (in @ C @ (binunion @ A @ B)))) ). 218.48/115.35 thf(binunionEcases_def, definition, binunionEcases = (! [A:$i,B:$i,C:$i,D:$o]: ((in @ C @ (binunion @ A @ B)) => (((in @ C @ A) => (D)) => (((in @ C @ B) => (D)) => (D))))) ). 218.48/115.35 thf(binunionE_def, definition, binunionE = (! [A:$i,B:$i,C:$i]: ((in @ C @ (binunion @ A @ B)) => ((in @ C @ A) | (in @ C @ B)))) ). 218.48/115.35 thf(binunionLsub_def, definition, binunionLsub = (! [A:$i,B:$i]: (subset @ A @ (binunion @ A @ B))) ). 218.48/115.35 thf(binunionRsub_def, definition, binunionRsub = (! [A:$i,B:$i]: (subset @ B @ (binunion @ A @ B))) ). 218.48/115.35 thf(binintersectI_def, definition, binintersectI = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => ((in @ C @ B) => (in @ C @ (binintersect @ A @ B))))) ). 218.48/115.35 thf(binintersectSubset5_def, definition, binintersectSubset5 = (! [A:$i,B:$i,C:$i]: ((subset @ C @ A) => ((subset @ C @ B) => (subset @ C @ (binintersect @ A @ B))))) ). 218.48/115.35 thf(binintersectEL_def, definition, binintersectEL = (! [A:$i,B:$i,C:$i]: ((in @ C @ (binintersect @ A @ B)) => (in @ C @ A))) ). 218.48/115.35 thf(binintersectLsub_def, definition, binintersectLsub = (! [A:$i,B:$i]: (subset @ (binintersect @ A @ B) @ A)) ). 218.48/115.35 thf(binintersectSubset2_def, definition, binintersectSubset2 = (! [A:$i,B:$i]: ((subset @ A @ B) => ((binintersect @ A @ B) = A))) ). 218.48/115.35 thf(binintersectSubset3_def, definition, binintersectSubset3 = (! [A:$i,B:$i]: (((binintersect @ A @ B) = B) => (subset @ B @ A))) ). 218.48/115.35 thf(binintersectER_def, definition, binintersectER = (! [A:$i,B:$i,C:$i]: ((in @ C @ (binintersect @ A @ B)) => (in @ C @ B))) ). 218.48/115.35 thf(disjointsetsI1_def, definition, disjointsetsI1 = (! [A:$i,B:$i]: ((~ (? [C:$i]: ((in @ C @ A) & (in @ C @ B)))) => ((binintersect @ A @ B) = emptyset))) ). 218.48/115.35 thf(binintersectRsub_def, definition, binintersectRsub = (! [A:$i,B:$i]: (subset @ (binintersect @ A @ B) @ B)) ). 218.48/115.35 thf(binintersectSubset4_def, definition, binintersectSubset4 = (! [A:$i,B:$i]: ((subset @ B @ A) => ((binintersect @ A @ B) = B))) ). 218.48/115.35 thf(binintersectSubset1_def, definition, binintersectSubset1 = (! [A:$i,B:$i]: (((binintersect @ A @ B) = A) => (subset @ A @ B))) ). 218.48/115.35 thf(bs114d_def, definition, bs114d = (! [A:$i,B:$i,C:$i]: ((binintersect @ A @ (binunion @ B @ C)) = (binunion @ (binintersect @ A @ B) @ (binintersect @ A @ C)))) ). 218.48/115.35 thf(setminusI_def, definition, setminusI = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => ((~ (in @ C @ B)) => (in @ C @ (setminus @ A @ B))))) ). 218.48/115.35 thf(setminusEL_def, definition, setminusEL = (! [A:$i,B:$i,C:$i]: ((in @ C @ (setminus @ A @ B)) => (in @ C @ A))) ). 218.48/115.35 thf(setminusER_def, definition, setminusER = (! [A:$i,B:$i,C:$i]: ((in @ C @ (setminus @ A @ B)) => (~ (in @ C @ B)))) ). 218.48/115.35 thf(setminusSubset2_def, definition, setminusSubset2 = (! [A:$i,B:$i]: ((subset @ A @ B) => ((setminus @ A @ B) = emptyset))) ). 218.48/115.35 thf(setminusERneg_def, definition, setminusERneg = (! [A:$i,B:$i,C:$i]: ((~ (in @ C @ (setminus @ A @ B))) => ((in @ C @ A) => (in @ C @ B)))) ). 218.48/115.35 thf(setminusELneg_def, definition, setminusELneg = (! [A:$i,B:$i,C:$i]: ((~ (in @ C @ (setminus @ A @ B))) => ((~ (in @ C @ B)) => (~ (in @ C @ A))))) ). 218.48/115.35 thf(setminusILneg_def, definition, setminusILneg = (! [A:$i,B:$i,C:$i]: ((~ (in @ C @ A)) => (~ (in @ C @ (setminus @ A @ B))))) ). 218.48/115.35 thf(setminusIRneg_def, definition, setminusIRneg = (! [A:$i,B:$i,C:$i]: ((in @ C @ B) => (~ (in @ C @ (setminus @ A @ B))))) ). 218.48/115.35 thf(setminusLsub_def, definition, setminusLsub = (! [A:$i,B:$i]: (subset @ (setminus @ A @ B) @ A)) ). 218.48/115.35 thf(setminusSubset1_def, definition, setminusSubset1 = (! [A:$i,B:$i]: (((setminus @ A @ B) = emptyset) => (subset @ A @ B))) ). 218.48/115.35 thf(symdiffE_def, definition, symdiffE = (! [A:$i,B:$i,C:$i]: ((in @ C @ (symdiff @ A @ B)) => (! [D:$o]: (((in @ C @ A) => ((~ (in @ C @ B)) => (D))) => (((~ (in @ C @ A)) => ((in @ C @ B) => (D))) => (D)))))) ). 218.48/115.35 thf(symdiffI1_def, definition, symdiffI1 = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => ((~ (in @ C @ B)) => (in @ C @ (symdiff @ A @ B))))) ). 218.48/115.35 thf(symdiffI2_def, definition, symdiffI2 = (! [A:$i,B:$i,C:$i]: ((~ (in @ C @ A)) => ((in @ C @ B) => (in @ C @ (symdiff @ A @ B))))) ). 218.48/115.35 thf(symdiffIneg1_def, definition, symdiffIneg1 = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => ((in @ C @ B) => (~ (in @ C @ (symdiff @ A @ B)))))) ). 218.48/115.35 thf(symdiffIneg2_def, definition, symdiffIneg2 = (! [A:$i,B:$i,C:$i]: ((~ (in @ C @ A)) => ((~ (in @ C @ B)) => (~ (in @ C @ (symdiff @ A @ B)))))) ). 218.48/115.35 thf(secondinupair_def, definition, secondinupair = (! [A:$i,B:$i]: (in @ B @ (setadjoin @ A @ (setadjoin @ B @ emptyset)))) ). 218.48/115.35 thf(setukpairIL_def, definition, setukpairIL = (! [A:$i,B:$i]: (in @ A @ (setunion @ (setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset))))) ). 218.48/115.35 thf(setukpairIR_def, definition, setukpairIR = (! [A:$i,B:$i]: (in @ B @ (setunion @ (setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset))))) ). 218.48/115.35 thf(kpairiskpair_def, definition, kpairiskpair = (! [A:$i,B:$i]: (iskpair @ (setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset)))) ). 218.48/115.35 thf(kpairp_def, definition, kpairp = (! [A:$i,B:$i]: (iskpair @ (kpair @ A @ B))) ). 218.48/115.35 thf(singletonsubset_def, definition, singletonsubset = (! [A:$i,B:$i]: ((in @ B @ A) => (subset @ (setadjoin @ B @ emptyset) @ A))) ). 218.48/115.35 thf(singletoninpowerset_def, definition, singletoninpowerset = (! [A:$i,B:$i]: ((in @ B @ A) => (in @ (setadjoin @ B @ emptyset) @ (powerset @ A)))) ). 218.48/115.35 thf(singletoninpowunion_def, definition, singletoninpowunion = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => (in @ (setadjoin @ C @ emptyset) @ (powerset @ (binunion @ A @ B))))) ). 218.48/115.35 thf(upairset2E_def, definition, upairset2E = (! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ (setadjoin @ B @ emptyset))) => ((C = A) | (C = B)))) ). 218.48/115.35 thf(upairsubunion_def, definition, upairsubunion = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ B) => (subset @ (setadjoin @ C @ (setadjoin @ D @ emptyset)) @ (binunion @ A @ B)))))) ). 218.48/115.35 thf(upairinpowunion_def, definition, upairinpowunion = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ B) => (in @ (setadjoin @ C @ (setadjoin @ D @ emptyset)) @ (powerset @ (binunion @ A @ B))))))) ). 218.48/115.35 thf(ubforcartprodlem1_def, definition, ubforcartprodlem1 = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ B) => (subset @ (setadjoin @ (setadjoin @ C @ emptyset) @ (setadjoin @ (setadjoin @ C @ (setadjoin @ D @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ A @ B))))))) ). 218.48/115.36 thf(ubforcartprodlem2_def, definition, ubforcartprodlem2 = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ B) => (in @ (setadjoin @ (setadjoin @ C @ emptyset) @ (setadjoin @ (setadjoin @ C @ (setadjoin @ D @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ A @ B)))))))) ). 218.48/115.36 thf(ubforcartprodlem3_def, definition, ubforcartprodlem3 = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ B) => (in @ (kpair @ C @ D) @ (powerset @ (powerset @ (binunion @ A @ B)))))))) ). 218.48/115.36 thf(cartprodpairin_def, definition, cartprodpairin = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ B) => (in @ (kpair @ C @ D) @ (cartprod @ A @ B)))))) ). 218.48/115.36 thf(cartprodmempair1_def, definition, cartprodmempair1 = (! [A:$i,B:$i,C:$i]: ((in @ C @ (cartprod @ A @ B)) => (? [D:$i]: ((in @ D @ A) & ? [E:$i]: ((in @ E @ B) & (C = (kpair @ D @ E))))))) ). 218.48/115.36 thf(cartprodmempair_def, definition, cartprodmempair = (! [A:$i,B:$i,C:$i]: ((in @ C @ (cartprod @ A @ B)) => (iskpair @ C))) ). 218.48/115.36 thf(setunionE2_def, definition, setunionE2 = (! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) => (? [C:$i]: ((in @ C @ A) & (in @ B @ C))))) ). 218.48/115.36 thf(setunionsingleton1_def, definition, setunionsingleton1 = (! [A:$i]: (subset @ (setunion @ (setadjoin @ A @ emptyset)) @ A)) ). 218.48/115.36 thf(setunionsingleton2_def, definition, setunionsingleton2 = (! [A:$i]: (subset @ A @ (setunion @ (setadjoin @ A @ emptyset)))) ). 218.48/115.36 thf(setunionsingleton_def, definition, setunionsingleton = (! [A:$i]: ((setunion @ (setadjoin @ A @ emptyset)) = A)) ). 218.48/115.36 thf(singletonprop_def, definition, singletonprop = (! [A:$i,B:($i > $o)]: ((! [C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => ((B @ C) => ((B @ D) => (C = D))))))) => ((? [C:$i]: ((in @ C @ A) & (B @ C))) => (singleton @ (dsetconstr @ A @ (B)))))) ). 218.48/115.36 thf(ex1_def, definition, ex1 = (^ [A:$i,B:($i > $o)]: (singleton @ (dsetconstr @ A @ B))) ). 218.48/115.36 thf(ex1E1_def, definition, ex1E1 = (! [A:$i,B:($i > $o)]: ((ex1 @ A @ (B)) => (? [C:$i]: ((in @ C @ A) & (B @ C))))) ). 218.48/115.36 thf(ex1I_def, definition, ex1I = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => ((! [D:$i]: ((in @ D @ A) => ((B @ D) => (D = C)))) => (ex1 @ A @ (B)))))) ). 218.48/115.36 thf(ex1I2_def, definition, ex1I2 = (! [A:$i,B:($i > $o)]: ((! [C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => ((B @ C) => ((B @ D) => (C = D))))))) => ((? [C:$i]: ((in @ C @ A) & (B @ C))) => (ex1 @ A @ (B))))) ). 218.48/115.36 thf(singletonsuniq_def, definition, singletonsuniq = (! [A:$i,B:$i]: (((setadjoin @ A @ emptyset) = (setadjoin @ B @ emptyset)) => (A = B))) ). 218.48/115.36 thf(setukpairinjL1_def, definition, setukpairinjL1 = (! [A:$i,B:$i,C:$i]: ((in @ (setadjoin @ C @ emptyset) @ (setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset))) => (A = C))) ). 218.48/115.36 thf(kfstsingleton_def, definition, kfstsingleton = (! [A:$i]: ((iskpair @ A) => (singleton @ (dsetconstr @ (setunion @ A) @ (^ [B:$i]: (in @ (setadjoin @ B @ emptyset) @ A)))))) ). 218.48/115.36 thf(theprop_def, definition, theprop = (! [A:$i]: ((singleton @ A) => (in @ (setunion @ A) @ A))) ). 218.48/115.36 thf(kfstpairEq_def, definition, kfstpairEq = (! [A:$i,B:$i]: ((kfst @ (kpair @ A @ B)) = A)) ). 218.48/115.36 thf(cartprodfstin_def, definition, cartprodfstin = (! [A:$i,B:$i,C:$i]: ((in @ C @ (cartprod @ A @ B)) => (in @ (kfst @ C) @ A))) ). 218.48/115.36 thf(setukpairinjL2_def, definition, setukpairinjL2 = (! [A:$i,B:$i,C:$i,D:$i]: (((setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ C @ emptyset) @ (setadjoin @ (setadjoin @ C @ (setadjoin @ D @ emptyset)) @ emptyset))) => (A = C))) ). 218.48/115.36 thf(setukpairinjL_def, definition, setukpairinjL = (! [A:$i,B:$i,C:$i,D:$i]: (((kpair @ A @ B) = (kpair @ C @ D)) => (A = C))) ). 218.48/115.36 thf(setukpairinjR11_def, definition, setukpairinjR11 = (! [A:$i,B:$i]: ((A = B) => ((setadjoin @ A @ (setadjoin @ B @ emptyset)) = (setadjoin @ A @ emptyset)))) ). 218.48/115.36 thf(setukpairinjR12_def, definition, setukpairinjR12 = (! [A:$i,B:$i]: ((A = B) => ((setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ A @ emptyset) @ emptyset)))) ). 218.48/115.36 thf(setukpairinjR1_def, definition, setukpairinjR1 = (! [A:$i,B:$i,C:$i,D:$i]: (((setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ C @ emptyset) @ (setadjoin @ (setadjoin @ C @ (setadjoin @ D @ emptyset)) @ emptyset))) => ((C = D) => (B = D)))) ). 218.48/115.36 thf(upairequniteq_def, definition, upairequniteq = (! [A:$i,B:$i,C:$i]: (((setadjoin @ A @ (setadjoin @ B @ emptyset)) = (setadjoin @ C @ emptyset)) => (A = B))) ). 218.48/115.36 thf(setukpairinjR2_def, definition, setukpairinjR2 = (! [A:$i,B:$i,C:$i,D:$i]: (((setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ C @ emptyset) @ (setadjoin @ (setadjoin @ C @ (setadjoin @ D @ emptyset)) @ emptyset))) => (B = D))) ). 218.48/115.36 thf(setukpairinjR_def, definition, setukpairinjR = (! [A:$i,B:$i,C:$i,D:$i]: (((kpair @ A @ B) = (kpair @ C @ D)) => (B = D))) ). 218.48/115.36 thf(ksndsingleton_def, definition, ksndsingleton = (! [A:$i]: ((iskpair @ A) => (singleton @ (dsetconstr @ (setunion @ A) @ (^ [B:$i]: (A = (kpair @ (kfst @ A) @ B))))))) ). 218.48/115.36 thf(ksndpairEq_def, definition, ksndpairEq = (! [A:$i,B:$i]: ((ksnd @ (kpair @ A @ B)) = B)) ). 218.48/115.36 thf(kpairsurjEq_def, definition, kpairsurjEq = (! [A:$i]: ((iskpair @ A) => ((kpair @ (kfst @ A) @ (ksnd @ A)) = A))) ). 218.48/115.36 thf(cartprodsndin_def, definition, cartprodsndin = (! [A:$i,B:$i,C:$i]: ((in @ C @ (cartprod @ A @ B)) => (in @ (ksnd @ C) @ B))) ). 218.48/115.36 thf(cartprodpairmemEL_def, definition, cartprodpairmemEL = (! [A:$i,B:$i,C:$i,D:$i]: ((in @ (kpair @ C @ D) @ (cartprod @ A @ B)) => (in @ C @ A))) ). 218.48/115.36 thf(cartprodpairmemER_def, definition, cartprodpairmemER = (! [A:$i,B:$i,C:$i,D:$i]: ((in @ (kpair @ C @ D) @ (cartprod @ A @ B)) => (in @ D @ B))) ). 218.48/115.36 thf(cartprodmempaircEq_def, definition, cartprodmempaircEq = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ B) => ((kpair @ C @ D) = (kpair @ C @ D)))))) ). 218.48/115.36 thf(cartprodfstpairEq_def, definition, cartprodfstpairEq = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ B) => ((kfst @ (kpair @ C @ D)) = C))))) ). 218.48/115.36 thf(cartprodsndpairEq_def, definition, cartprodsndpairEq = (! [A:$i,B:$i,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ B) => ((ksnd @ (kpair @ C @ D)) = D))))) ). 218.48/115.36 thf(cartprodpairsurjEq_def, definition, cartprodpairsurjEq = (! [A:$i,B:$i,C:$i]: ((in @ C @ (cartprod @ A @ B)) => ((kpair @ (kfst @ C) @ (ksnd @ C)) = C))) ). 218.48/115.36 thf(breln_def, definition, breln = (^ [A:$i,B:$i,C:$i]: (subset @ C @ (cartprod @ A @ B))) ). 218.48/115.36 thf(dpsetconstrI_def, definition, dpsetconstrI = (! [A:$i,B:$i,C:($i > ($i > $o)),D:$i]: ((in @ D @ A) => (! [E:$i]: ((in @ E @ B) => ((C @ D @ E) => (in @ (kpair @ D @ E) @ (dpsetconstr @ A @ B @ (C)))))))) ). 218.48/115.36 thf(dpsetconstrSub_def, definition, dpsetconstrSub = (! [A:$i,B:$i,C:($i > ($i > $o))]: (subset @ (dpsetconstr @ A @ B @ (C)) @ (cartprod @ A @ B))) ). 218.48/115.36 thf(setOfPairsIsBReln_def, definition, setOfPairsIsBReln = (! [A:$i,B:$i,C:($i > ($i > $o))]: (breln @ A @ B @ (dpsetconstr @ A @ B @ (C)))) ). 218.48/115.36 thf(dpsetconstrERa_def, definition, dpsetconstrERa = (! [A:$i,B:$i,C:($i > ($i > $o)),D:$i]: ((in @ D @ A) => (! [E:$i]: ((in @ E @ B) => ((in @ (kpair @ D @ E) @ (dpsetconstr @ A @ B @ (C))) => (C @ D @ E)))))) ). 218.48/115.36 thf(dpsetconstrEL1_def, definition, dpsetconstrEL1 = (! [A:$i,B:$i,C:($i > ($i > $o)),D:$i,E:$i]: ((in @ (kpair @ D @ E) @ (dpsetconstr @ A @ B @ (C))) => (in @ D @ A))) ). 218.48/115.36 thf(dpsetconstrEL2_def, definition, dpsetconstrEL2 = (! [A:$i,B:$i,C:($i > ($i > $o)),D:$i,E:$i]: ((in @ (kpair @ D @ E) @ (dpsetconstr @ A @ B @ (C))) => (in @ E @ B))) ). 218.48/115.36 thf(dpsetconstrER_def, definition, dpsetconstrER = (! [A:$i,B:$i,C:($i > ($i > $o)),D:$i,E:$i]: ((in @ (kpair @ D @ E) @ (dpsetconstr @ A @ B @ (C))) => (C @ D @ E))) ). 218.48/115.36 thf(funcImageSingleton_def, definition, funcImageSingleton = (! [A:$i,B:$i,C:$i]: ((func @ A @ B @ C) => (! [D:$i]: ((in @ D @ A) => (singleton @ (dsetconstr @ B @ (^ [E:$i]: (in @ (kpair @ D @ E) @ C)))))))) ). 218.48/115.36 thf(apProp_def, definition, apProp = (! [A:$i,B:$i,C:$i]: ((func @ A @ B @ C) => (! [D:$i]: ((in @ D @ A) => (in @ (setunion @ (dsetconstr @ B @ (^ [E:$i]: (in @ (kpair @ D @ E) @ C)))) @ B))))) ). 218.48/115.36 thf(app_def, definition, app = (! [A:$i,B:$i,C:$i]: ((func @ A @ B @ C) => (! [D:$i]: ((in @ D @ A) => (in @ (ap @ A @ B @ C @ D) @ B))))) ). 218.48/115.36 thf(infuncsetfunc_def, definition, infuncsetfunc = (! [A:$i,B:$i,C:$i]: ((in @ C @ (funcSet @ A @ B)) => (func @ A @ B @ C))) ). 218.48/115.36 thf(ap2p_def, definition, ap2p = (! [A:$i,B:$i,C:$i]: ((in @ C @ (funcSet @ A @ B)) => (! [D:$i]: ((in @ D @ A) => (in @ (ap @ A @ B @ C @ D) @ B))))) ). 218.48/115.36 thf(funcinfuncset_def, definition, funcinfuncset = (! [A:$i,B:$i,C:$i]: ((func @ A @ B @ C) => (in @ C @ (funcSet @ A @ B)))) ). 218.48/115.36 thf(lamProp_def, definition, lamProp = (! [A:$i,B:$i,C:($i > $i)]: ((! [D:$i]: ((in @ D @ A) => (in @ (C @ D) @ B))) => (func @ A @ B @ (dpsetconstr @ A @ B @ (^ [D:$i]: ((=) @ $i @ (C @ D))))))) ). 218.48/115.36 thf(lamp_def, definition, lamp = (! [A:$i,B:$i,C:($i > $i)]: ((! [D:$i]: ((in @ D @ A) => (in @ (C @ D) @ B))) => (func @ A @ B @ (lam @ A @ B @ (C))))) ). 218.48/115.36 thf(lam2p_def, definition, lam2p = (! [A:$i,B:$i,C:($i > $i)]: ((! [D:$i]: ((in @ D @ A) => (in @ (C @ D) @ B))) => (in @ (lam @ A @ B @ (C)) @ (funcSet @ A @ B)))) ). 218.48/115.36 thf(brelnall1_def, definition, brelnall1 = (! [A:$i,B:$i,C:$i]: ((breln @ A @ B @ C) => (! [D:($i > $o)]: ((! [E:$i]: ((in @ E @ A) => (! [F:$i]: ((in @ F @ B) => ((in @ (kpair @ E @ F) @ C) => (D @ (kpair @ E @ F))))))) => (! [E:$i]: ((in @ E @ C) => (D @ E))))))) ). 218.48/115.36 thf(brelnall2_def, definition, brelnall2 = (! [A:$i,B:$i,C:$i]: ((breln @ A @ B @ C) => (! [D:($i > $o)]: ((! [E:$i]: ((in @ E @ A) => (! [F:$i]: ((in @ F @ B) => ((in @ (kpair @ E @ F) @ C) => (D @ (kpair @ E @ F))))))) => (! [E:$i]: ((in @ E @ C) => (D @ E))))))) ). 218.48/115.36 thf(ex1E2_def, definition, ex1E2 = (! [A:$i,B:($i > $o)]: ((ex1 @ A @ (B)) => (! [C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => ((B @ C) => ((B @ D) => (C = D))))))))) ). 218.48/115.36 thf(funcGraphProp1_def, definition, funcGraphProp1 = (! [A:$i,B:$i,C:$i]: ((func @ A @ B @ C) => (! [D:$i]: ((in @ D @ A) => (in @ (kpair @ D @ (ap @ A @ B @ C @ D)) @ C))))) ). 218.48/115.36 thf(funcGraphProp3_def, definition, funcGraphProp3 = (! [A:$i,B:$i,C:$i]: ((in @ C @ (funcSet @ A @ B)) => (! [D:$i]: ((in @ D @ A) => (in @ (kpair @ D @ (ap @ A @ B @ C @ D)) @ C))))) ). 218.48/115.36 thf(funcGraphProp2_def, definition, funcGraphProp2 = (! [A:$i,B:$i,C:$i]: ((func @ A @ B @ C) => (! [D:$i]: ((in @ D @ A) => (! [E:$i]: ((in @ E @ B) => ((in @ (kpair @ D @ E) @ C) => ((ap @ A @ B @ C @ D) = E)))))))) ). 218.48/115.36 thf(funcextLem_def, definition, funcextLem = (! [A:$i,B:$i,C:$i]: ((func @ A @ B @ C) => (! [D:$i]: ((func @ A @ B @ D) => ((! [E:$i]: ((in @ E @ A) => ((ap @ A @ B @ C @ E) = (ap @ A @ B @ D @ E)))) => (! [E:$i]: ((in @ E @ A) => (! [F:$i]: ((in @ F @ B) => ((in @ (kpair @ E @ F) @ D) => (in @ (kpair @ E @ F) @ C))))))))))) ). 218.48/115.36 thf(funcGraphProp4_def, definition, funcGraphProp4 = (! [A:$i,B:$i,C:$i]: ((in @ C @ (funcSet @ A @ B)) => (! [D:$i]: ((in @ D @ A) => (! [E:$i]: ((in @ E @ B) => ((in @ (kpair @ D @ E) @ C) => ((ap @ A @ B @ C @ D) = E)))))))) ). 218.48/115.36 thf(subbreln_def, definition, subbreln = (! [A:$i,B:$i,C:$i]: ((breln @ A @ B @ C) => (! [D:$i]: ((breln @ A @ B @ D) => ((! [E:$i]: ((in @ E @ A) => (! [F:$i]: ((in @ F @ B) => ((in @ (kpair @ E @ F) @ C) => (in @ (kpair @ E @ F) @ D)))))) => (subset @ C @ D)))))) ). 218.48/115.36 thf(eqbreln_def, definition, eqbreln = (! [A:$i,B:$i,C:$i]: ((breln @ A @ B @ C) => (! [D:$i]: ((breln @ A @ B @ D) => ((! [E:$i]: ((in @ E @ A) => (! [F:$i]: ((in @ F @ B) => ((in @ (kpair @ E @ F) @ C) => (in @ (kpair @ E @ F) @ D)))))) => ((! [E:$i]: ((in @ E @ A) => (! [F:$i]: ((in @ F @ B) => ((in @ (kpair @ E @ F) @ D) => (in @ (kpair @ E @ F) @ C)))))) => (C = D))))))) ). 218.48/115.36 thf(funcext_def, definition, funcext = (! [A:$i,B:$i,C:$i]: ((func @ A @ B @ C) => (! [D:$i]: ((func @ A @ B @ D) => ((! [E:$i]: ((in @ E @ A) => ((ap @ A @ B @ C @ E) = (ap @ A @ B @ D @ E)))) => (C = D)))))) ). 218.48/115.36 thf(funcext2_def, definition, funcext2 = (! [A:$i,B:$i,C:$i]: ((in @ C @ (funcSet @ A @ B)) => (! [D:$i]: ((in @ D @ (funcSet @ A @ B)) => ((! [E:$i]: ((in @ E @ A) => ((ap @ A @ B @ C @ E) = (ap @ A @ B @ D @ E)))) => (C = D)))))) ). 218.48/115.36 thf(ap2apEq1_def, definition, ap2apEq1 = (! [A:$i,B:$i,C:$i]: ((in @ C @ (funcSet @ A @ B)) => (! [D:$i]: ((in @ D @ A) => ((ap @ A @ B @ C @ D) = (ap @ A @ B @ C @ D)))))) ). 218.48/115.36 thf(ap2apEq2_def, definition, ap2apEq2 = (! [A:$i,B:$i,C:$i]: ((func @ A @ B @ C) => (! [D:$i]: ((in @ D @ A) => ((ap @ A @ B @ C @ D) = (ap @ A @ B @ C @ D)))))) ). 218.48/115.36 thf(beta1_def, definition, beta1 = (! [A:$i,B:$i,C:($i > $i)]: ((! [D:$i]: ((in @ D @ A) => (in @ (C @ D) @ B))) => (! [D:$i]: ((in @ D @ A) => ((ap @ A @ B @ (lam @ A @ B @ (C)) @ D) = (C @ D)))))) ). 218.48/115.36 thf(eta1_def, definition, eta1 = (! [A:$i,B:$i,C:$i]: ((func @ A @ B @ C) => ((lam @ A @ B @ (ap @ A @ B @ C)) = C))) ). 218.48/115.36 thf(lam2lamEq_def, definition, lam2lamEq = (! [A:$i,B:$i,C:($i > $i)]: ((! [D:$i]: ((in @ D @ A) => (in @ (C @ D) @ B))) => ((lam @ A @ B @ (C)) = (lam @ A @ B @ (C))))) ). 218.48/115.36 thf(beta2_def, definition, beta2 = (! [A:$i,B:$i,C:($i > $i)]: ((! [D:$i]: ((in @ D @ A) => (in @ (C @ D) @ B))) => (! [D:$i]: ((in @ D @ A) => ((ap @ A @ B @ (lam @ A @ B @ (C)) @ D) = (C @ D)))))) ). 218.48/115.36 thf(eta2_def, definition, eta2 = (! [A:$i,B:$i,C:$i]: ((in @ C @ (funcSet @ A @ B)) => ((lam @ A @ B @ (ap @ A @ B @ C)) = C))) ). 218.48/115.36 thf(iffalseProp1_def, definition, iffalseProp1 = (! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => ((~ (B)) => (in @ D @ (dsetconstr @ A @ (^ [E:$i]: (((B) & (E = C)) | (~ (B) & (E = D))))))))))) ). 218.48/115.36 thf(iffalseProp2_def, definition, iffalseProp2 = (! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => ((~ (B)) => ((dsetconstr @ A @ (^ [E:$i]: (((B) & (E = C)) | (~ (B) & (E = D))))) = (setadjoin @ D @ emptyset))))))) ). 218.48/115.36 thf(iftrueProp1_def, definition, iftrueProp1 = (! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => ((B) => (in @ C @ (dsetconstr @ A @ (^ [E:$i]: (((B) & (E = C)) | (~ (B) & (E = D))))))))))) ). 218.48/115.36 thf(iftrueProp2_def, definition, iftrueProp2 = (! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => ((B) => ((dsetconstr @ A @ (^ [E:$i]: (((B) & (E = C)) | (~ (B) & (E = D))))) = (setadjoin @ C @ emptyset))))))) ). 218.48/115.36 thf(ifSingleton_def, definition, ifSingleton = (! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => (singleton @ (dsetconstr @ A @ (^ [E:$i]: (((B) & (E = C)) | (~ (B) & (E = D)))))))))) ). 218.48/115.36 thf(ifp_def, definition, ifp = (! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => (in @ (if @ A @ B @ C @ D) @ A))))) ). 218.48/115.36 thf(theeq_def, definition, theeq = (! [A:$i]: ((singleton @ A) => (! [B:$i]: ((in @ B @ A) => ((setunion @ A) = B))))) ). 218.48/115.36 thf(iftrue_def, definition, iftrue = (! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => ((B) => ((if @ A @ B @ C @ D) = C)))))) ). 218.48/115.36 thf(iffalse_def, definition, iffalse = (! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => ((~ (B)) => ((if @ A @ B @ C @ D) = D)))))) ). 218.48/115.36 thf(iftrueorfalse_def, definition, iftrueorfalse = (! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => (in @ (if @ A @ B @ C @ D) @ (setadjoin @ C @ (setadjoin @ D @ emptyset))))))) ). 218.48/115.36 thf(binintersectT_lem_def, definition, binintersectT_lem = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (! [C:$i]: ((in @ C @ (powerset @ A)) => (in @ (binintersect @ B @ C) @ (powerset @ A)))))) ). 218.48/115.36 thf(binunionT_lem_def, definition, binunionT_lem = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (! [C:$i]: ((in @ C @ (powerset @ A)) => (in @ (binunion @ B @ C) @ (powerset @ A)))))) ). 218.48/115.36 thf(powersetT_lem_def, definition, powersetT_lem = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (in @ (powerset @ B) @ (powerset @ (powerset @ A))))) ). 218.48/115.36 thf(setminusT_lem_def, definition, setminusT_lem = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (! [C:$i]: ((in @ C @ (powerset @ A)) => (in @ (setminus @ B @ C) @ (powerset @ A)))))) ). 218.48/115.36 thf(complementT_lem_def, definition, complementT_lem = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (in @ (setminus @ A @ B) @ (powerset @ A)))) ). 218.48/115.36 thf(setextT_def, definition, setextT = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (! [C:$i]: ((in @ C @ (powerset @ A)) => ((! [D:$i]: ((in @ D @ A) => ((in @ D @ B) => (in @ D @ C)))) => ((! [D:$i]: ((in @ D @ A) => ((in @ D @ C) => (in @ D @ B)))) => (B = C))))))) ). 218.48/115.36 thf(subsetTI_def, definition, subsetTI = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (! [C:$i]: ((in @ C @ (powerset @ A)) => ((! [D:$i]: ((in @ D @ A) => ((in @ D @ B) => (in @ D @ C)))) => (subset @ B @ C)))))) ). 218.48/115.36 thf(powersetTI1_def, definition, powersetTI1 = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (! [C:$i]: ((in @ C @ (powerset @ A)) => ((! [D:$i]: ((in @ D @ A) => ((in @ D @ B) => (in @ D @ C)))) => (in @ B @ (powerset @ C))))))) ). 218.48/115.36 thf(powersetTE1_def, definition, powersetTE1 = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (! [C:$i]: ((in @ C @ (powerset @ A)) => (! [D:$i]: ((in @ D @ A) => ((in @ B @ (powerset @ C)) => ((in @ D @ B) => (in @ D @ C))))))))) ). 218.48/115.36 thf(complementTI1_def, definition, complementTI1 = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (! [C:$i]: ((in @ C @ A) => ((in @ C @ B) => (~ (in @ C @ (setminus @ A @ B)))))))) ). 218.48/115.36 thf(sk1_def, definition, sk1 = (^ [A:$i,B:$i]: (@+ [C:$i]: ~ ((in @ C @ B) = (in @ C @ A)))) ). 218.48/115.36 thf(sk2_def, definition, sk2 = (^ [A:$i]: (@+ [B:$i]: ~ (((in @ B @ omega) & (in @ B @ A)) => (in @ (setadjoin @ B @ B) @ A)))) ). 218.48/115.36 thf(sk3_def, definition, sk3 = (^ [A:$i,B:($i > ($i > $o))]: (@+ [C:$i]: ~ ((in @ C @ A) => (? [D:$i]: ((B @ C @ D) & ! [E:$i]: ((B @ C @ E) => (D = E))))))) ). 218.48/115.36 thf(sk4_def, definition, sk4 = (^ [A:$i,B:$i,C:($i > ($i > $o))]: (@+ [D:$i]: ~ ((C @ (sk3 @ B @ C) @ D) => (A = D)))) ). 218.48/115.36 thf(sk5_def, definition, sk5 = (^ [A:$i,B:($i > ($i > $o))]: (@+ [C:$i]: ! [D:$i]: ((in @ D @ C) = (? [E:$i]: ((in @ E @ A) & (B @ E @ D)))))) ). 218.48/115.36 thf(sk6_def, definition, sk6 = (^ [A:$i]: (@+ [B:$i]: ((in @ B @ A) & ~ (? [C:$i]: ((in @ C @ B) & (in @ C @ A)))))) ). 218.48/115.36 thf(sk7_def, definition, sk7 = (^ [A:$i]: (@+ [B:$i]: (! [C:$i]: ((in @ C @ B) => (! [D:$i]: ((in @ D @ C) => (in @ D @ A)))) & ! [C:$i,D:$i]: (((in @ C @ A) & (in @ D @ A)) => ((! [E:$i]: ((in @ E @ B) => ((in @ C @ E) = (in @ D @ E)))) => (C = D))) & ! [C:$i,D:$i]: (((in @ C @ B) & (in @ D @ B)) => (! [E:$i]: ((in @ E @ C) => (in @ E @ D)) | ! [E:$i]: ((in @ E @ D) => (in @ E @ C)))) & ! [C:$i]: ((! [D:$i]: ((in @ D @ C) => (in @ D @ A)) & ? [D:$i]: (in @ D @ C)) => (? [D:$i]: ((in @ D @ B) & ? [E:$i]: ((in @ E @ C) & ~ (? [F:$i]: ((in @ F @ D) & (in @ F @ C))) & ! [F:$i]: ((in @ F @ B) => (! [G:$i]: ((in @ G @ F) => (in @ G @ D)) | (in @ E @ F)))))))))) ). 218.48/115.36 thf(sk8_def, definition, sk8 = (^ [A:$i,B:$i,C:$i]: (@+ [D:$i]: ~ ((in @ D @ (sk7 @ C)) => ((in @ B @ D) = (in @ A @ D))))) ). 218.48/115.36 thf(sk10_def, definition, sk10 = (^ [A:$i,B:$i]: (@+ [C:$i]: ~ ((in @ C @ A) => (in @ C @ B)))) ). 218.48/115.36 thf(sk11_def, definition, sk11 = (^ [A:$i,B:$i]: (@+ [C:$i]: ((in @ C @ (sk7 @ B)) & ? [D:$i]: ((in @ D @ A) & ~ (? [E:$i]: ((in @ E @ C) & (in @ E @ A))) & ! [E:$i]: ((in @ E @ (sk7 @ B)) => (! [F:$i]: ((in @ F @ E) => (in @ F @ C)) | (in @ D @ E))))))) ). 218.48/115.36 thf(sk12_def, definition, sk12 = (^ [A:$i,B:$i]: (@+ [C:$i]: ((in @ C @ A) & ~ (? [D:$i]: ((in @ D @ (sk11 @ A @ B)) & (in @ D @ A))) & ! [D:$i]: ((in @ D @ (sk7 @ B)) => (! [E:$i]: ((in @ E @ D) => (in @ E @ (sk11 @ A @ B))) | (in @ C @ D)))))) ). 218.48/115.36 thf(sk13_def, definition, sk13 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((B @ C) => (A = C)))) ). 218.48/115.36 thf(sk14_def, definition, sk14 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((B @ C) => (A = C)))) ). 218.48/115.36 thf(sk15_def, definition, sk15 = ((@+) @ $i) ). 218.48/115.36 thf(sk16_def, definition, sk16 = (^ [A:$i,B:$i]: (@+ [C:$i]: ~ ((in @ C @ B) => (in @ C @ A)))) ). 218.48/115.36 thf(sk17_def, definition, sk17 = (^ [A:$i,B:$i]: (@+ [C:$i]: ~ ((in @ C @ A) => (in @ C @ B)))) ). 218.48/115.36 thf(sk18_def, definition, sk18 = (^ [A:$i]: (@+ [B:$i]: (in @ B @ A))) ). 218.48/115.36 thf(sk19_def, definition, sk19 = (^ [A:$i]: (@+ [B:$i]: (in @ B @ A))) ). 218.48/115.36 thf(sk20_def, definition, sk20 = (^ [A:$i]: (@+ [B:$i]: (in @ B @ A))) ). 218.48/115.36 thf(sk21_def, definition, sk21 = (^ [A:$i,B:$i]: (@+ [C:$i]: ~ ((in @ C @ A) => (in @ C @ B)))) ). 218.48/115.36 thf(sk22_def, definition, sk22 = (^ [A:$o,B:$i,C:$i]: (@+ [D:$i]: ~ ((in @ B @ D) => ((in @ D @ C) => (A))))) ). 218.48/115.36 thf(sk23_def, definition, sk23 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((B @ C) => (A = C)))) ). 218.48/115.36 thf(sk24_def, definition, sk24 = (^ [A:($i > $o)]: (@+ [B:$i]: ! [C:$i]: ((A @ C) = (C = B)))) ). 218.48/115.36 thf(sk25_def, definition, sk25 = (^ [A:$i]: (@+ [B:$i]: (in @ B @ A))) ). 218.48/115.36 thf(sk26_def, definition, sk26 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ((in @ C @ B) & ~ (A @ C)))) ). 218.48/115.36 thf(sk27_def, definition, sk27 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ~ ((in @ C @ B) => (~ (A @ C))))) ). 218.48/115.36 thf(sk28_def, definition, sk28 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ((in @ C @ B) & (A @ C)))) ). 218.48/115.36 thf(sk29_def, definition, sk29 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ~ ((in @ C @ B) => (A @ C)))) ). 218.48/115.36 thf(sk30_def, definition, sk30 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ((in @ C @ B) & (A @ C)))) ). 218.48/115.36 thf(sk31_def, definition, sk31 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ((in @ C @ B) & ~ (A @ C)))) ). 218.48/115.36 thf(sk32_def, definition, sk32 = (^ [A:($i > $o)]: (@+ [B:$i]: ~ ((A @ B) => (! [C:$i]: ((A @ C) => (B = C)))))) ). 218.48/115.36 thf(sk33_def, definition, sk33 = (^ [A:($i > $o)]: (@+ [B:$i]: ~ ((A @ B) => ((sk32 @ A) = B)))) ). 218.48/115.36 thf(sk34_def, definition, sk34 = (^ [A:($i > $o)]: (@+ [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C))))) ). 218.48/115.36 thf(sk35_def, definition, sk35 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((B @ C) = (C = A)))) ). 218.48/115.36 thf(sk36_def, definition, sk36 = (^ [A:($i > $o)]: (@+ [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C))))) ). 218.48/115.36 thf(sk37_def, definition, sk37 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((B @ C) => (A = C)))) ). 218.48/115.36 thf(sk38_def, definition, sk38 = (^ [A:($i > $o),B:($i > $o)]: (@+ [C:$i]: ~ (! [D:$i]: ((C = D) => ((B @ C) = (A @ D)))))) ). 218.48/115.36 thf(sk39_def, definition, sk39 = (^ [A:($i > $o),B:($i > $o)]: (@+ [C:$i]: ~ (((sk38 @ A @ B) = C) => ((B @ (sk38 @ A @ B)) = (A @ C))))) ). 218.48/115.36 thf(sk40_def, definition, sk40 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((B @ C) => (A = C)))) ). 218.48/115.36 thf(sk42_def, definition, sk42 = (^ [A:($i > $o),B:($i > $o)]: (@+ [C:$i]: ~ (! [D:$i]: ((C = D) => ((B @ C) = (A @ D)))))) ). 218.48/115.36 thf(sk43_def, definition, sk43 = (^ [A:($i > $o),B:($i > $o)]: (@+ [C:$i]: ~ (((sk42 @ A @ B) = C) => ((B @ (sk42 @ A @ B)) = (A @ C))))) ). 218.48/115.36 thf(sk44_def, definition, sk44 = (^ [A:$i,B:($i > $o),C:($i > $o)]: (@+ [D:$i]: ~ ((C @ D) => (A = D)))) ). 218.48/115.36 thf(sk45_def, definition, sk45 = (^ [A:$i,B:($i > $o),C:($i > $o)]: (@+ [D:$i]: ~ ((B @ D) => (A = D)))) ). 218.48/115.36 thf(sk46_def, definition, sk46 = (^ [A:($i > $o),B:($i > $o),C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ D) => (! [F:$i]: ((in @ F @ C) => ((E = F) => ((B @ E) = (A @ F)))))))) ). 218.48/115.36 thf(sk47_def, definition, sk47 = (^ [A:($i > $o),B:($i > $o),C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ C) => (((sk46 @ A @ B @ C @ D) = E) => ((B @ (sk46 @ A @ B @ C @ D)) = (A @ E)))))) ). 218.48/115.36 thf(sk48_def, definition, sk48 = (^ [A:$i,B:$i]: (@+ [C:$i]: ~ ((in @ C @ B) => (in @ C @ A)))) ). 218.48/115.36 thf(sk49_def, definition, sk49 = (^ [A:$i,B:$i]: (@+ [C:$i]: ~ ((in @ C @ B) => (in @ C @ A)))) ). 218.48/115.36 thf(sk50_def, definition, sk50 = (^ [A:$i,B:$i]: (@+ [C:$i]: ((in @ C @ B) & (in @ C @ A)))) ). 218.48/115.36 thf(sk51_def, definition, sk51 = (^ [A:$i,B:$i,C:$i]: (@+ [D:$i]: ((in @ D @ C) & ? [E:$i]: ((in @ E @ B) & (A = (kpair @ D @ E)))))) ). 218.48/115.36 thf(sk52_def, definition, sk52 = (^ [A:$i,B:$i,C:$i]: (@+ [D:$i]: ((in @ D @ B) & (A = (kpair @ (sk51 @ A @ B @ C) @ D))))) ). 218.48/115.36 thf(sk53_def, definition, sk53 = (^ [A:$i,B:$i]: (@+ [C:$i]: ((in @ C @ B) & (in @ A @ C)))) ). 218.48/115.36 thf(sk54_def, definition, sk54 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ~ ((in @ C @ B) => (! [D:$i]: ((in @ D @ B) => ((A @ C) => ((A @ D) => (C = D)))))))) ). 218.48/115.36 thf(sk55_def, definition, sk55 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ~ ((in @ C @ B) => ((A @ (sk54 @ A @ B)) => ((A @ C) => ((sk54 @ A @ B) = C)))))) ). 218.48/115.36 thf(sk56_def, definition, sk56 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ((in @ C @ B) & (A @ C)))) ). 218.48/115.36 thf(sk57_def, definition, sk57 = (^ [A:$i,B:($i > $o),C:$i]: (@+ [D:$i]: ~ ((in @ D @ C) => ((B @ D) => (D = A))))) ). 218.48/115.36 thf(sk58_def, definition, sk58 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ~ ((in @ C @ B) => (! [D:$i]: ((in @ D @ B) => ((A @ C) => ((A @ D) => (C = D)))))))) ). 218.48/115.36 thf(sk59_def, definition, sk59 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ~ ((in @ C @ B) => ((A @ (sk58 @ A @ B)) => ((A @ C) => ((sk58 @ A @ B) = C)))))) ). 218.48/115.36 thf(sk60_def, definition, sk60 = (^ [A:($i > $i),B:$i,C:$i]: (@+ [D:$i]: ~ ((in @ D @ C) => (in @ (A @ D) @ B)))) ). 218.48/115.36 thf(sk61_def, definition, sk61 = (^ [A:($i > $i),B:$i,C:$i]: (@+ [D:$i]: ~ ((in @ D @ C) => (in @ (A @ D) @ B)))) ). 218.48/115.36 thf(sk62_def, definition, sk62 = (^ [A:($i > $i),B:$i,C:$i]: (@+ [D:$i]: ~ ((in @ D @ C) => (in @ (A @ D) @ B)))) ). 218.48/115.36 thf(sk63_def, definition, sk63 = (^ [A:($i > $o),B:$i,C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ D) => (! [F:$i]: ((in @ F @ C) => ((in @ (kpair @ E @ F) @ B) => (A @ (kpair @ E @ F)))))))) ). 218.48/115.36 thf(sk64_def, definition, sk64 = (^ [A:($i > $o),B:$i,C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ C) => ((in @ (kpair @ (sk63 @ A @ B @ C @ D) @ E) @ B) => (A @ (kpair @ (sk63 @ A @ B @ C @ D) @ E)))))) ). 218.48/115.36 thf(sk65_def, definition, sk65 = (^ [A:($i > $o),B:$i,C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ D) => (! [F:$i]: ((in @ F @ C) => ((in @ (kpair @ E @ F) @ B) => (A @ (kpair @ E @ F)))))))) ). 218.48/115.36 thf(sk66_def, definition, sk66 = (^ [A:($i > $o),B:$i,C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ C) => ((in @ (kpair @ (sk65 @ A @ B @ C @ D) @ E) @ B) => (A @ (kpair @ (sk65 @ A @ B @ C @ D) @ E)))))) ). 218.48/115.36 thf(sk67_def, definition, sk67 = (^ [A:$i,B:$i,C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ D) => ((ap @ D @ C @ B @ E) = (ap @ D @ C @ A @ E))))) ). 218.48/115.36 thf(sk68_def, definition, sk68 = (^ [A:$i,B:$i,C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ D) => (! [F:$i]: ((in @ F @ C) => ((in @ (kpair @ E @ F) @ B) => (in @ (kpair @ E @ F) @ A))))))) ). 218.48/115.36 thf(sk69_def, definition, sk69 = (^ [A:$i,B:$i,C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ C) => ((in @ (kpair @ (sk68 @ A @ B @ C @ D) @ E) @ B) => (in @ (kpair @ (sk68 @ A @ B @ C @ D) @ E) @ A))))) ). 218.48/115.36 thf(sk70_def, definition, sk70 = (^ [A:$i,B:$i,C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ D) => (! [F:$i]: ((in @ F @ C) => ((in @ (kpair @ E @ F) @ B) => (in @ (kpair @ E @ F) @ A))))))) ). 218.48/115.36 thf(sk71_def, definition, sk71 = (^ [A:$i,B:$i,C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ C) => ((in @ (kpair @ (sk70 @ A @ B @ C @ D) @ E) @ B) => (in @ (kpair @ (sk70 @ A @ B @ C @ D) @ E) @ A))))) ). 218.48/115.36 thf(sk72_def, definition, sk72 = (^ [A:$i,B:$i,C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ D) => (! [F:$i]: ((in @ F @ C) => ((in @ (kpair @ E @ F) @ A) => (in @ (kpair @ E @ F) @ B))))))) ). 218.48/115.36 thf(sk73_def, definition, sk73 = (^ [A:$i,B:$i,C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ C) => ((in @ (kpair @ (sk72 @ A @ B @ C @ D) @ E) @ A) => (in @ (kpair @ (sk72 @ A @ B @ C @ D) @ E) @ B))))) ). 218.48/115.36 thf(sk74_def, definition, sk74 = (^ [A:$i,B:$i,C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ D) => ((ap @ D @ C @ B @ E) = (ap @ D @ C @ A @ E))))) ). 218.48/115.36 thf(sk75_def, definition, sk75 = (^ [A:$i,B:$i,C:$i,D:$i]: (@+ [E:$i]: ~ ((in @ E @ D) => ((ap @ D @ C @ B @ E) = (ap @ D @ C @ A @ E))))) ). 218.48/115.36 thf(sk76_def, definition, sk76 = (^ [A:($i > $i),B:$i,C:$i]: (@+ [D:$i]: ~ ((in @ D @ C) => (in @ (A @ D) @ B)))) ). 218.48/115.36 thf(sk77_def, definition, sk77 = (^ [A:($i > $i),B:$i,C:$i]: (@+ [D:$i]: ~ ((in @ D @ C) => (in @ (A @ D) @ B)))) ). 218.48/115.36 thf(sk78_def, definition, sk78 = (^ [A:$i,B:$i,C:$i]: (@+ [D:$i]: ~ ((in @ D @ C) => ((in @ D @ B) => (in @ D @ A))))) ). 218.48/115.36 thf(sk79_def, definition, sk79 = (^ [A:$i,B:$i,C:$i]: (@+ [D:$i]: ~ ((in @ D @ C) => ((in @ D @ A) => (in @ D @ B))))) ). 218.48/115.36 thf(sk80_def, definition, sk80 = (^ [A:$i,B:$i,C:$i]: (@+ [D:$i]: ~ ((in @ D @ C) => ((in @ D @ B) => (in @ D @ A))))) ). 218.48/115.36 thf(sk81_def, definition, sk81 = (^ [A:$i,B:$i,C:$i]: (@+ [D:$i]: ~ ((in @ D @ C) => ((in @ D @ B) => (in @ D @ A))))) ). 218.48/115.36 thf(sk82_def, definition, sk82 = (@+ [A:$i]: ~ (! [B:$i]: ((in @ B @ (powerset @ A)) => (! [C:$i]: ((in @ C @ A) => ((~ (in @ C @ (setminus @ A @ B))) => (in @ C @ B))))))) ). 218.48/115.36 thf(sk83_def, definition, sk83 = (@+ [A:$i]: ~ ((in @ A @ (powerset @ sk82)) => (! [B:$i]: ((in @ B @ sk82) => ((~ (in @ B @ (setminus @ sk82 @ A))) => (in @ B @ A)))))) ). 218.48/115.36 thf(sk84_def, definition, sk84 = (@+ [A:$i]: ~ ((in @ A @ sk82) => ((~ (in @ A @ (setminus @ sk82 @ sk83))) => (in @ A @ sk83)))) ). 218.48/115.36 thf(1,conjecture,((((emptysetAx) => (((powersetAx) => ((((omegaSAx) => ((((foundationAx) => ((wellorderingAx) => (((dsetconstrI) => ((dsetconstrEL) => ((((prop2setE) => (((emptysetimpfalse) => (((exuE3e) => ((setext) => ((emptyI) => (((setbeta) => ((nonemptyE1) => (((((((setadjoinE) => ((((powersetI) => ((emptyinPowerset) => ((emptyInPowerset) => ((powersetE) => (((setunionE) => ((subPowSU) => (((nonemptyImpWitness) => (((notinsingleton) => ((eqinunit) => ((singletonsswitch) => ((((upairsetIR) => (((vacuousDall) => (((quantDeMorgan2) => ((quantDeMorgan3) => (((prop2setI) => (((notdexE) => (((exuI1) => (((exuI2) => ((((exuE3u) => ((exu__Cong) => ((((powerset__Cong) => ((setunion__Cong) => ((((descr__Cong) => ((dsetconstr__Cong) => ((((eqimpsubset1) => (((emptysetsubset) => ((((notsubsetI) => ((notequalI1) => ((((subsetTrans) => (((((setextsub) => (((powersetI1) => ((powersetE1) => ((inPowerset) => ((powersetsubset) => ((sepInPowerset) => ((sepSubset) => (((upairset2IR) => ((binunionIR) => ((binunionEcases) => (((binunionLsub) => (((binintersectI) => (((binintersectEL) => (((binintersectSubset2) => ((binintersectSubset3) => ((binintersectER) => ((disjointsetsI1) => (((binintersectSubset4) => ((binintersectSubset1) => ((bs114d) => ((((((setminusERneg) => (((setminusILneg) => ((setminusIRneg) => ((setminusLsub) => (((symdiffE) => ((symdiffI1) => ((symdiffI2) => (((symdiffIneg2) => (((setukpairIL) => (((kpairiskpair) => ((((singletoninpowerset) => ((singletoninpowunion) => ((upairset2E) => (((upairinpowunion) => ((ubforcartprodlem1) => (((ubforcartprodlem3) => (((cartprodmempair1) => ((cartprodmempair) => (((setunionsingleton1) => (((setunionsingleton) => (((((ex1I2) => ((singletonsuniq) => (((kfstsingleton) => (((kfstpairEq) => ((((((setukpairinjR12) => ((((setukpairinjR2) => ((setukpairinjR) => ((ksndsingleton) => ((ksndpairEq) => ((kpairsurjEq) => (((cartprodpairmemEL) => ((cartprodpairmemER) => ((cartprodmempaircEq) => ((cartprodfstpairEq) => (((((dpsetconstrSub) => ((setOfPairsIsBReln) => (((dpsetconstrEL1) => ((dpsetconstrEL2) => ((dpsetconstrER) => (((((infuncsetfunc) => ((((lamProp) => ((lamp) => ((lam2p) => ((brelnall1) => ((((funcGraphProp1) => ((funcGraphProp3) => (((funcextLem) => ((funcGraphProp4) => (((eqbreln) => ((funcext) => (((ap2apEq1) => (((beta1) => ((eta1) => (((beta2) => ((((((((((((iftrueorfalse) => (((binunionT_lem) => ((powersetT_lem) => (((complementT_lem) => ((setextT) => ((subsetTI) => ((powersetTI1) => (((! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (! [C:$i]: ((in @ C @ A) => ((in @ C @ B) <= (~ (in @ C @ (setminus @ A @ B)))))))) <= (complementTI1)) <= (powersetTE1)))))) <= (setminusT_lem)))) <= (binintersectT_lem))) <= (iffalse)) <= (iftrue)) <= (theeq)) <= (ifp)) <= (ifSingleton)) <= (iftrueProp2)) <= (iftrueProp1)) <= (iffalseProp2)) <= (iffalseProp1)) <= (eta2))) <= (lam2lamEq)))) <= (ap2apEq2))) <= (funcext2)))) <= (subbreln)))) <= (funcGraphProp2)))) <= (ex1E2)) <= (brelnall2)))))) <= (funcinfuncset)) <= (ap2p))) <= (app)) <= (apProp)) <= (funcImageSingleton))))) <= (dpsetconstrERa)))) <= (dpsetconstrI)) <= (cartprodpairsurjEq)) <= (cartprodsndpairEq)))))) <= (cartprodsndin))))))) <= (upairequniteq)) <= (setukpairinjR1))) <= (setukpairinjR11)) <= (setukpairinjL)) <= (setukpairinjL2)) <= (cartprodfstin))) <= (theprop))) <= (setukpairinjL1)))) <= (ex1I)) <= (ex1E1)) <= (singletonprop))) <= (setunionsingleton2))) <= (setunionE2)))) <= (cartprodpairin))) <= (ubforcartprodlem2)))) <= (upairsubunion))))) <= (singletonsubset)) <= (kpairp))) <= (setukpairIR))) <= (secondinupair))) <= (symdiffIneg1))))) <= (setminusSubset1))))) <= (setminusELneg))) <= (setminusSubset2)) <= (setminusER)) <= (setminusEL)) <= (setminusI))))) <= (binintersectRsub)))))) <= (binintersectLsub))) <= (binintersectSubset5))) <= (binunionRsub))) <= (binunionE))))) <= (binunionIL)))))))) <= (subsetemptysetimpeq))) <= (subset2powerset)) <= (setadjoinSub2)) <= (setadjoinSub))) <= (subsetRefl)) <= (notequalI2)))) <= (subsetE2)) <= (subsetE))) <= (subsetI2))) <= (eqimpsubset2)) <= (subsetI1)))) <= (exuEu)) <= (omega__Cong)))) <= (setadjoin__Cong)) <= (emptyset__Cong)))) <= (in__Cong)) <= (inCongP))) <= (exuI3))) <= (notdallE))) <= (prop2set2propI))) <= (quantDeMorgan4)))) <= (quantDeMorgan1))) <= (emptyE1))) <= (upairsetIL)) <= (upairsetE))))) <= (uniqinunit))) <= (exuE2)))) <= (setunionI)))))) <= (setoftrueEq)) <= (setadjoinOr))) <= (setadjoinIR)) <= (emptyinunitempty)) <= (setadjoinIL)) <= (nonemptyI1)) <= (nonemptyI)))) <= (noeltsimpempty))))) <= (notinemptyset))) <= (emptysetE))) <= (exuE1)) <= (dsetconstrER)))) <= (descrp)))) <= (replAx)) <= (omegaIndAx))) <= (omega0Ax)) <= (setunionAx))) <= (setadjoinAx))) <= (setextAx))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complementTE1)). 218.48/115.36 thf(2,negated_conjecture,((~ (((emptysetAx) => (((powersetAx) => ((((omegaSAx) => ((((foundationAx) => ((wellorderingAx) => (((dsetconstrI) => ((dsetconstrEL) => ((((prop2setE) => (((emptysetimpfalse) => (((exuE3e) => ((setext) => ((emptyI) => (((setbeta) => ((nonemptyE1) => (((((((setadjoinE) => ((((powersetI) => ((emptyinPowerset) => ((emptyInPowerset) => ((powersetE) => (((setunionE) => ((subPowSU) => (((nonemptyImpWitness) => (((notinsingleton) => ((eqinunit) => ((singletonsswitch) => ((((upairsetIR) => (((vacuousDall) => (((quantDeMorgan2) => ((quantDeMorgan3) => (((prop2setI) => (((notdexE) => (((exuI1) => (((exuI2) => ((((exuE3u) => ((exu__Cong) => ((((powerset__Cong) => ((setunion__Cong) => ((((descr__Cong) => ((dsetconstr__Cong) => ((((eqimpsubset1) => (((emptysetsubset) => ((((notsubsetI) => ((notequalI1) => ((((subsetTrans) => (((((setextsub) => (((powersetI1) => ((powersetE1) => ((inPowerset) => ((powersetsubset) => ((sepInPowerset) => ((sepSubset) => (((upairset2IR) => ((binunionIR) => ((binunionEcases) => (((binunionLsub) => (((binintersectI) => (((binintersectEL) => (((binintersectSubset2) => ((binintersectSubset3) => ((binintersectER) => ((disjointsetsI1) => (((binintersectSubset4) => ((binintersectSubset1) => ((bs114d) => ((((((setminusERneg) => (((setminusILneg) => ((setminusIRneg) => ((setminusLsub) => (((symdiffE) => ((symdiffI1) => ((symdiffI2) => (((symdiffIneg2) => (((setukpairIL) => (((kpairiskpair) => ((((singletoninpowerset) => ((singletoninpowunion) => ((upairset2E) => (((upairinpowunion) => ((ubforcartprodlem1) => (((ubforcartprodlem3) => (((cartprodmempair1) => ((cartprodmempair) => (((setunionsingleton1) => (((setunionsingleton) => (((((ex1I2) => ((singletonsuniq) => (((kfstsingleton) => (((kfstpairEq) => ((((((setukpairinjR12) => ((((setukpairinjR2) => ((setukpairinjR) => ((ksndsingleton) => ((ksndpairEq) => ((kpairsurjEq) => (((cartprodpairmemEL) => ((cartprodpairmemER) => ((cartprodmempaircEq) => ((cartprodfstpairEq) => (((((dpsetconstrSub) => ((setOfPairsIsBReln) => (((dpsetconstrEL1) => ((dpsetconstrEL2) => ((dpsetconstrER) => (((((infuncsetfunc) => ((((lamProp) => ((lamp) => ((lam2p) => ((brelnall1) => ((((funcGraphProp1) => ((funcGraphProp3) => (((funcextLem) => ((funcGraphProp4) => (((eqbreln) => ((funcext) => (((ap2apEq1) => (((beta1) => ((eta1) => (((beta2) => ((((((((((((iftrueorfalse) => (((binunionT_lem) => ((powersetT_lem) => (((complementT_lem) => ((setextT) => ((subsetTI) => ((powersetTI1) => (((! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (! [C:$i]: ((in @ C @ A) => ((in @ C @ B) <= (~ (in @ C @ (setminus @ A @ B)))))))) <= (complementTI1)) <= (powersetTE1)))))) <= (setminusT_lem)))) <= (binintersectT_lem))) <= (iffalse)) <= (iftrue)) <= (theeq)) <= (ifp)) <= (ifSingleton)) <= (iftrueProp2)) <= (iftrueProp1)) <= (iffalseProp2)) <= (iffalseProp1)) <= (eta2))) <= (lam2lamEq)))) <= (ap2apEq2))) <= (funcext2)))) <= (subbreln)))) <= (funcGraphProp2)))) <= (ex1E2)) <= (brelnall2)))))) <= (funcinfuncset)) <= (ap2p))) <= (app)) <= (apProp)) <= (funcImageSingleton))))) <= (dpsetconstrERa)))) <= (dpsetconstrI)) <= (cartprodpairsurjEq)) <= (cartprodsndpairEq)))))) <= (cartprodsndin))))))) <= (upairequniteq)) <= (setukpairinjR1))) <= (setukpairinjR11)) <= (setukpairinjL)) <= (setukpairinjL2)) <= (cartprodfstin))) <= (theprop))) <= (setukpairinjL1)))) <= (ex1I)) <= (ex1E1)) <= (singletonprop))) <= (setunionsingleton2))) <= (setunionE2)))) <= (cartprodpairin))) <= (ubforcartprodlem2)))) <= (upairsubunion))))) <= (singletonsubset)) <= (kpairp))) <= (setukpairIR))) <= (secondinupair))) <= (symdiffIneg1))))) <= (setminusSubset1))))) <= (setminusELneg))) <= (setminusSubset2)) <= (setminusER)) <= (setminusEL)) <= (setminusI))))) <= (binintersectRsub)))))) <= (binintersectLsub))) <= (binintersectSubset5))) <= (binunionRsub))) <= (binunionE))))) <= (binunionIL)))))))) <= (subsetemptysetimpeq))) <= (subset2powerset)) <= (setadjoinSub2)) <= (setadjoinSub))) <= (subsetRefl)) <= (notequalI2)))) <= (subsetE2)) <= (subsetE))) <= (subsetI2))) <= (eqimpsubset2)) <= (subsetI1)))) <= (exuEu)) <= (omega__Cong)))) <= (setadjoin__Cong)) <= (emptyset__Cong)))) <= (in__Cong)) <= (inCongP))) <= (exuI3))) <= (notdallE))) <= (prop2set2propI))) <= (quantDeMorgan4)))) <= (quantDeMorgan1))) <= (emptyE1))) <= (upairsetIL)) <= (upairsetE))))) <= (uniqinunit))) <= (exuE2)))) <= (setunionI)))))) <= (setoftrueEq)) <= (setadjoinOr))) <= (setadjoinIR)) <= (emptyinunitempty)) <= (setadjoinIL)) <= (nonemptyI1)) <= (nonemptyI)))) <= (noeltsimpempty))))) <= (notinemptyset))) <= (emptysetE))) <= (exuE1)) <= (dsetconstrER)))) <= (descrp)))) <= (replAx)) <= (omegaIndAx))) <= (omega0Ax)) <= (setunionAx))) <= (setadjoinAx))) <= (setextAx)))),inference(neg_conjecture,[status(cth)],[1])). 218.48/115.36 thf(3,plain,((~ ((! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) = (in @ C @ B))) => (A = B))) => ((! [A:$i]: ~ (in @ A @ emptyset)) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) = ((C = A) | (in @ C @ B)))) => ((! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) = (! [C:$i]: ((in @ C @ B) => (in @ C @ A))))) => ((! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) = (? [C:$i]: ((in @ B @ C) & (in @ C @ A))))) => ((in @ emptyset @ omega) => ((! [A:$i]: ((in @ A @ omega) => (in @ (setadjoin @ A @ A) @ omega))) => ((! [A:$i]: (((in @ emptyset @ A) & ! [B:$i]: (((in @ B @ omega) & (in @ B @ A)) => (in @ (setadjoin @ B @ B) @ A))) => (! [B:$i]: ((in @ B @ omega) => (in @ B @ A))))) => ((! [A:($i > ($i > $o)),B:$i]: ((! [C:$i]: ((in @ C @ B) => (? [D:$i]: ((A @ C @ D) & ! [E:$i]: ((A @ C @ E) => (D = E)))))) => (? [C:$i]: ! [D:$i]: ((in @ D @ C) = (? [E:$i]: ((in @ E @ B) & (A @ E @ D))))))) => ((! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (? [B:$i]: ((in @ B @ A) & ~ (? [C:$i]: ((in @ C @ B) & (in @ C @ A))))))) => ((! [A:$i]: ? [B:$i]: (! [C:$i]: ((in @ C @ B) => (! [D:$i]: ((in @ D @ C) => (in @ D @ A)))) & ! [C:$i,D:$i]: (((in @ C @ A) & (in @ D @ A)) => ((! [E:$i]: ((in @ E @ B) => ((in @ C @ E) = (in @ D @ E)))) => (C = D))) & ! [C:$i,D:$i]: (((in @ C @ B) & (in @ D @ B)) => (! [E:$i]: ((in @ E @ C) => (in @ E @ D)) | ! [E:$i]: ((in @ E @ D) => (in @ E @ C)))) & ! [C:$i]: ((! [D:$i]: ((in @ D @ C) => (in @ D @ A)) & ? [D:$i]: (in @ D @ C)) => (? [D:$i,E:$i]: ((in @ D @ B) & (in @ E @ C) & ~ (? [F:$i]: ((in @ F @ D) & (in @ F @ C))) & ! [F:$i]: ((in @ F @ B) => (! [G:$i]: ((in @ G @ F) => (in @ G @ D)) | (in @ E @ F)))))))) => ((! [A:($i > $o)]: ((? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) => (A @ (descr @ (A))))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (in @ C @ (dsetconstr @ A @ (B)))))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (in @ C @ A))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (B @ C))) => ((! [A:$o,B:$i]: ((in @ B @ (prop2set @ A)) => (A))) => ((! [A:$i]: ((in @ A @ emptyset) => (! [B:$o]: (B)))) => ((! [A:$i]: ~ (in @ A @ emptyset)) => ((! [A:$i]: ~ (in @ A @ emptyset)) => ((! [A:($i > $o)]: ((? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) => (? [B:$i]: (A @ B)))) => ((! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) => (in @ C @ B))) => ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (A = B)))) => ((! [A:$i]: ((! [B:$i]: ~ (in @ B @ A)) => (A = emptyset))) => ((! [A:$i]: ((! [B:$i]: ~ (in @ B @ A)) => (A = emptyset))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((in @ C @ (dsetconstr @ A @ (B))) = (B @ C)))) => ((! [A:$i]: ((~ (A = emptyset)) => (? [B:$i]: (in @ B @ A)))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (~ ((dsetconstr @ A @ (B)) = emptyset))))) => ((! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (~ (A = emptyset)))) => ((! [A:$i,B:$i]: (in @ A @ (setadjoin @ A @ B))) => ((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ B) => (in @ C @ (setadjoin @ A @ B)))) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => (! [D:$o]: (((C = A) => (D)) => (((in @ C @ B) => (D)) => (D)))))) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => ((C = A) | (in @ C @ B)))) => ((! [A:$i]: ((dsetconstr @ A @ (^ [B:$i]: (($true)))) = A)) => ((! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (in @ B @ (powerset @ A)))) => ((! [A:$i]: (in @ emptyset @ (powerset @ A))) => ((! [A:$i]: (in @ emptyset @ (powerset @ A))) => ((! [A:$i,B:$i,C:$i]: ((in @ B @ (powerset @ A)) => ((in @ C @ B) => (in @ C @ A)))) => ((! [A:$i,B:$i,C:$i]: ((in @ B @ C) => ((in @ C @ A) => (in @ B @ (setunion @ A))))) => ((! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) => (! [C:$o]: ((! [D:$i]: ((in @ B @ D) => ((in @ D @ A) => (C)))) => (C))))) => ((! [A:$i,B:$i]: ((in @ B @ A) => (in @ B @ (powerset @ (setunion @ A))))) => ((! [A:($i > $o)]: ((? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) => (? [B:$i]: ! [C:$i]: ((A @ C) = (C = B))))) => ((! [A:$i]: ((~ (A = emptyset)) => (? [B:$i]: (in @ B @ A)))) => ((! [A:$i,B:$i]: ((in @ A @ (setadjoin @ B @ emptyset)) => (A = B))) => ((! [A:$i,B:$i]: ((~ (A = B)) => (~ (in @ B @ (setadjoin @ A @ emptyset))))) => ((! [A:$i,B:$i]: ((A = B) => (in @ A @ (setadjoin @ B @ emptyset)))) => ((! [A:$i,B:$i]: ((in @ A @ (setadjoin @ B @ emptyset)) => (in @ B @ (setadjoin @ A @ emptyset)))) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ (setadjoin @ B @ emptyset))) => ((C = A) | (C = B)))) => ((! [A:$i,B:$i]: (in @ A @ (setadjoin @ A @ (setadjoin @ B @ emptyset)))) => ((! [A:$i,B:$i]: (in @ B @ (setadjoin @ A @ (setadjoin @ B @ emptyset)))) => ((! [A:$i,B:($i > $o)]: ((? [C:$i]: ((in @ C @ A) & (B @ C))) => (~ ((dsetconstr @ A @ (B)) = emptyset)))) => ((! [A:($i > $o),B:$i]: ((in @ B @ emptyset) => (A @ B))) => ((! [A:$i,B:($i > $o)]: ((~ (! [C:$i]: ((in @ C @ A) => (B @ C)))) => (? [C:$i]: ((in @ C @ A) & ~ (B @ C))))) => ((! [A:$i,B:($i > $o)]: ((! [C:$i]: ((in @ C @ A) => (~ (B @ C)))) => (~ (? [C:$i]: ((in @ C @ A) & (B @ C)))))) => ((! [A:$i,B:($i > $o)]: ((~ (? [C:$i]: ((in @ C @ A) & (B @ C)))) => (! [C:$i]: ((in @ C @ A) => (~ (B @ C)))))) => ((! [A:$i,B:($i > $o)]: ((? [C:$i]: ((in @ C @ A) & ~ (B @ C))) => (~ (! [C:$i]: ((in @ C @ A) => (B @ C)))))) => ((! [A:$o]: ((A) => (in @ emptyset @ (prop2set @ A)))) => ((! [A:$o]: ((A) => (set2prop @ (prop2set @ A)))) => ((! [A:$i,B:($i > $o)]: ((~ (? [C:$i]: ((in @ C @ A) & (B @ C)))) => (! [C:$i]: ((in @ C @ A) => (~ (B @ C)))))) => ((! [A:$i,B:($i > $o)]: ((~ (! [C:$i]: ((in @ C @ A) => (B @ C)))) => (? [C:$i]: ((in @ C @ A) & ~ (B @ C))))) => ((! [A:($i > $o)]: ((? [B:$i]: (A @ B)) => ((! [B:$i,C:$i]: ((A @ B) => ((A @ C) => (B = C)))) => (? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C))))))) => ((! [A:($i > $o)]: ((? [B:$i]: ! [C:$i]: ((A @ C) = (C = B))) => (? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))))) => ((! [A:$i,B:$i]: ((A = B) => (! [C:$i,D:$i]: ((C = D) => ((in @ C @ A) => (in @ D @ B)))))) => ((! [A:$i,B:$i]: ((A = B) => (! [C:$i,D:$i]: ((C = D) => ((in @ C @ A) = (in @ D @ B)))))) => ((! [A:($i > $o)]: ((? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) => (! [B:$i,C:$i]: ((A @ B) => ((A @ C) => (B = C)))))) => ((! [A:($i > $o),B:($i > $o)]: ((! [C:$i,D:$i]: ((C = D) => ((A @ C) = (B @ D)))) => ((? [C:$i]: ((A @ C) & ! [D:$i]: ((A @ D) => (C = D)))) = (? [C:$i]: ((B @ C) & ! [D:$i]: ((B @ D) => (C = D))))))) => ((! [A:$i,B:$i]: ((A = B) => (! [C:$i,D:$i]: ((C = D) => ((setadjoin @ A @ C) = (setadjoin @ B @ D)))))) => ((! [A:$i,B:$i]: ((A = B) => ((powerset @ A) = (powerset @ B)))) => ((! [A:$i,B:$i]: ((A = B) => ((setunion @ A) = (setunion @ B)))) => ((! [A:($i > $o)]: ((? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) => (! [B:$i,C:$i]: ((A @ B) => ((A @ C) => (B = C)))))) => ((! [A:($i > $o),B:($i > $o)]: ((! 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[ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: ((in @ ZZZZZZZZZZZZZZZZZZZZZZZZV @ H) => (in @ ZZZZZZZZZZZZZZZZZZZZZZZZV @ G)))) & ((in @ J @ (setunion @ I)) = (? [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: ((in @ J @ ZZZZZZZZZZZZZZZZZZZZZZZZV) & (in @ ZZZZZZZZZZZZZZZZZZZZZZZZV @ I)))) & (in @ emptyset @ omega) & (~ (in @ K @ omega) | (in @ (setadjoin @ K @ K) @ omega)) & (~ (in @ emptyset @ L) | (in @ (sk2 @ L) @ omega) | ~ (in @ M @ omega) | (in @ M @ L)) & (~ (in @ emptyset @ L) | (in @ (sk2 @ L) @ L) | ~ (in @ M @ omega) | (in @ M @ L)) & (~ (in @ emptyset @ L) | ~ (in @ (setadjoin @ (sk2 @ L) @ (sk2 @ L)) @ L) | ~ (in @ M @ omega) | (in @ M @ L)) & ((in @ (sk3 @ O @ (N)) @ O) | ((in @ Q @ (sk5 @ O @ (N))) = (? [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: ((in @ ZZZZZZZZZZZZZZZZZZZZZZZZV @ O) & (N @ ZZZZZZZZZZZZZZZZZZZZZZZZV @ Q))))) & (~ (N @ (sk3 @ O @ (N)) @ P) | (N @ (sk3 @ O @ (N)) @ (sk4 @ P @ O @ (N))) | ((in @ Q @ (sk5 @ O @ (N))) = (? [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: ((in @ ZZZZZZZZZZZZZZZZZZZZZZZZV @ O) & (N @ ZZZZZZZZZZZZZZZZZZZZZZZZV @ Q))))) & (~ (N @ (sk3 @ O @ (N)) @ P) | ~ (P = (sk4 @ P @ O @ (N))) | ((in @ Q @ (sk5 @ O @ (N))) = (? [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: ((in @ ZZZZZZZZZZZZZZZZZZZZZZZZV @ O) & (N @ ZZZZZZZZZZZZZZZZZZZZZZZZV @ Q))))) & (~ (in @ S @ R) | (in @ (sk6 @ R) @ R)) & (~ (in @ S @ R) | ~ (in @ T @ (sk6 @ R)) | ~ (in @ T @ R)) & (~ (in @ V @ (sk7 @ U)) | ~ (in @ W @ V) | (in @ W @ U)) & (~ (in @ X @ U) | ~ (in @ Y @ U) | (in @ (sk8 @ Y @ X @ U) @ (sk7 @ U)) | (X = Y)) & (~ (in @ X @ U) | ~ (in @ Y @ U) | ~ ((in @ X @ (sk8 @ Y @ X @ U)) = (in @ Y @ (sk8 @ Y @ X @ U))) | (X = Y)) & (~ (in @ Z @ (sk7 @ U)) | ~ (in @ ZA @ (sk7 @ U)) | ~ (in @ ZB @ Z) | (in @ ZB @ ZA) | ~ (in @ ZC @ ZA) | (in @ ZC @ Z)) & ((in @ (sk10 @ ZD @ U) @ ZD) | ~ (in @ ZE @ ZD) | (sk9 @ U @ ZD)) & (~ (in @ (sk10 @ ZD @ U) @ U) | ~ (in @ ZE @ ZD) | (sk9 @ U @ ZD)) & (~ (sk9 @ U @ ZD) | (in @ (sk11 @ ZD @ U) @ (sk7 @ U))) & (~ (sk9 @ U @ ZD) | (in @ (sk12 @ ZD @ U) @ ZD)) & (~ (sk9 @ U @ ZD) | ~ (in @ ZF @ (sk11 @ ZD @ U)) | ~ (in @ ZF @ ZD)) & (~ (sk9 @ U @ ZD) | ~ (in @ ZG @ (sk7 @ U)) | ~ (in @ ZH @ ZG) | (in @ ZH @ (sk11 @ ZD @ U)) | (in @ (sk12 @ ZD @ U) @ ZG)) & (~ (ZI @ ZJ) | (ZI @ (sk13 @ ZJ @ (ZI))) | (ZI @ (descr @ (ZI)))) & (~ (ZI @ ZJ) | ~ (ZJ = (sk13 @ ZJ @ (ZI))) | (ZI @ (descr @ (ZI)))) & (~ (in @ ZM @ ZK) | ~ (ZL @ ZM) | (in @ ZM @ (dsetconstr @ ZK @ (ZL)))) & (~ (in @ ZP @ (dsetconstr @ ZN @ (ZO))) | (in @ ZP @ ZN)) & (~ (in @ ZS @ (dsetconstr @ ZQ @ (ZR))) | (ZR @ ZS)) & (~ (in @ ZU @ (prop2set @ ZT)) | (ZT)) & (~ (in @ ZV @ emptyset) | (ZW)) & ~ (in @ ZX @ emptyset) & ~ (in @ ZY @ emptyset) & (~ (ZZ @ ZZA) | (ZZ @ (sk14 @ ZZA @ (ZZ))) | (ZZ @ (sk15 @ (ZZ)))) & (~ (ZZ @ ZZA) | ~ (ZZA = (sk14 @ ZZA @ (ZZ))) | (ZZ @ (sk15 @ (ZZ)))) & ((in @ (sk16 @ ZZC @ ZZB) @ ZZB) | (in @ (sk17 @ ZZC @ ZZB) @ ZZC) | (ZZB = ZZC)) & ((in @ (sk16 @ ZZC @ ZZB) @ ZZB) | ~ (in @ (sk17 @ ZZC @ ZZB) @ ZZB) | (ZZB = ZZC)) & (~ (in @ (sk16 @ ZZC @ ZZB) @ ZZC) | (in @ (sk17 @ ZZC @ ZZB) @ ZZC) | (ZZB = ZZC)) & (~ (in @ (sk16 @ ZZC @ ZZB) @ ZZC) | ~ (in @ (sk17 @ ZZC @ ZZB) @ ZZB) | (ZZB = ZZC)) & ((in @ (sk18 @ ZZD) @ ZZD) | (ZZD = emptyset)) & ((in @ (sk19 @ ZZE) @ ZZE) | (ZZE = emptyset)) & (~ (in @ ZZH @ ZZF) | ((in @ ZZH @ (dsetconstr @ ZZF @ (ZZG))) = (ZZG @ ZZH))) & ((ZZI = emptyset) | (in @ (sk20 @ ZZI) @ ZZI)) & (~ (in @ ZZL @ ZZJ) | ~ (ZZK @ ZZL) | ~ ((dsetconstr @ ZZJ @ (ZZK)) = emptyset)) & (~ (in @ ZZN @ ZZM) | ~ (ZZM = emptyset)) & (in @ ZZO @ (setadjoin @ ZZO @ ZZP)) & (in @ emptyset @ (setadjoin @ emptyset @ emptyset)) & (~ (in @ ZZS @ ZZR) | (in @ ZZS @ (setadjoin @ ZZQ @ ZZR))) & (~ (in @ ZZV @ (setadjoin @ ZZT @ ZZU)) | (ZZV = ZZT) | (in @ ZZV @ ZZU) | (ZZW)) & (~ (in @ ZZV @ (setadjoin @ ZZT @ ZZU)) | (ZZV = ZZT) | ~ (ZZW) | (ZZW)) & (~ (in @ ZZV @ (setadjoin @ ZZT @ ZZU)) | ~ (ZZW) | (in @ ZZV @ ZZU) | (ZZW)) & (~ (in @ ZZV @ (setadjoin @ ZZT @ ZZU)) | ~ (ZZW) | ~ (ZZW) | (ZZW)) & (~ (in @ ZZZ @ (setadjoin @ ZZX @ ZZY)) | (ZZZ = ZZX) | (in @ ZZZ @ ZZY)) & ((dsetconstr @ ZZZA @ (^ [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: (($true)))) = ZZZA) & ((in @ (sk21 @ ZZZC @ ZZZB) @ ZZZC) | (in @ ZZZC @ (powerset @ ZZZB))) & (~ (in @ (sk21 @ ZZZC @ ZZZB) @ ZZZB) | (in @ ZZZC @ (powerset @ ZZZB))) & (in @ emptyset @ (powerset @ ZZZD)) & (in @ emptyset @ (powerset @ ZZZE)) & (~ (in @ ZZZG @ (powerset @ ZZZF)) | ~ (in @ ZZZH @ ZZZG) | (in @ ZZZH @ ZZZF)) & (~ (in @ ZZZJ @ ZZZK) | ~ (in @ ZZZK @ ZZZI) | (in @ ZZZJ @ (setunion @ ZZZI))) & (~ (in @ ZZZM @ (setunion @ ZZZL)) | (in @ ZZZM @ (sk22 @ ZZZN @ ZZZM @ ZZZL)) | (ZZZN)) & (~ (in @ ZZZM @ (setunion @ ZZZL)) | (in @ (sk22 @ ZZZN @ ZZZM @ ZZZL) @ ZZZL) | (ZZZN)) & (~ (in @ ZZZM @ (setunion @ ZZZL)) | ~ (ZZZN) | (ZZZN)) & (~ (in @ ZZZP @ ZZZO) | (in @ ZZZP @ (powerset @ (setunion @ ZZZO)))) & (~ (ZZZQ @ ZZZR) | (ZZZQ @ (sk23 @ ZZZR @ (ZZZQ))) | ((ZZZQ @ ZZZS) = (ZZZS = (sk24 @ (ZZZQ))))) & (~ (ZZZQ @ ZZZR) | ~ (ZZZR = (sk23 @ ZZZR @ (ZZZQ))) | ((ZZZQ @ ZZZS) = (ZZZS = (sk24 @ (ZZZQ))))) & ((ZZZT = emptyset) | (in @ (sk25 @ ZZZT) @ ZZZT)) & (~ (in @ ZZZU @ (setadjoin @ ZZZV @ emptyset)) | (ZZZU = ZZZV)) & ((ZZZW = ZZZX) | ~ (in @ ZZZX @ (setadjoin @ ZZZW @ emptyset))) & (~ (ZZZY = ZZZZ) | (in @ ZZZY @ (setadjoin @ ZZZZ @ emptyset))) & (~ (in @ ZZZZA @ (setadjoin @ ZZZZB @ emptyset)) | (in @ ZZZZB @ (setadjoin @ ZZZZA @ emptyset))) & (~ (in @ ZZZZE @ (setadjoin @ ZZZZC @ (setadjoin @ ZZZZD @ emptyset))) | (ZZZZE = ZZZZC) | (ZZZZE = ZZZZD)) & (in @ ZZZZF @ (setadjoin @ ZZZZF @ (setadjoin @ ZZZZG @ emptyset))) & (in @ ZZZZI @ (setadjoin @ ZZZZH @ (setadjoin @ ZZZZI @ emptyset))) & (~ (in @ ZZZZL @ ZZZZJ) | ~ (ZZZZK @ ZZZZL) | ~ ((dsetconstr @ ZZZZJ @ (ZZZZK)) = emptyset)) & (~ (in @ ZZZZN @ emptyset) | (ZZZZM @ ZZZZN)) & (~ (in @ ZZZZQ @ ZZZZO) | (ZZZZP @ ZZZZQ) | (in @ (sk26 @ (ZZZZP) @ ZZZZO) @ ZZZZO)) & (~ (in @ ZZZZQ @ ZZZZO) | (ZZZZP @ ZZZZQ) | ~ (ZZZZP @ (sk26 @ (ZZZZP) @ ZZZZO))) & ((in @ (sk27 @ (ZZZZS) @ ZZZZR) @ ZZZZR) | ~ (in @ ZZZZT @ ZZZZR) | ~ (ZZZZS @ ZZZZT)) & ((ZZZZS @ (sk27 @ (ZZZZS) @ ZZZZR)) | ~ (in @ ZZZZT @ ZZZZR) | ~ (ZZZZS @ ZZZZT)) & ((in @ (sk28 @ (ZZZZV) @ ZZZZU) @ ZZZZU) | ~ (in @ ZZZZW @ ZZZZU) | ~ (ZZZZV @ ZZZZW)) & ((ZZZZV @ (sk28 @ (ZZZZV) @ ZZZZU)) | ~ (in @ ZZZZW @ ZZZZU) | ~ (ZZZZV @ ZZZZW)) & (~ (in @ ZZZZZ @ ZZZZX) | (ZZZZY @ ZZZZZ) | (in @ (sk29 @ (ZZZZY) @ ZZZZX) @ ZZZZX)) & (~ (in @ ZZZZZ @ ZZZZX) | (ZZZZY @ ZZZZZ) | ~ (ZZZZY @ (sk29 @ (ZZZZY) @ ZZZZX))) & (~ (ZZZZZA) | (in @ emptyset @ (prop2set @ ZZZZZA))) & (~ (ZZZZZB) | (set2prop @ (prop2set @ ZZZZZB))) & ((in @ (sk30 @ (ZZZZZD) @ ZZZZZC) @ ZZZZZC) | ~ (in @ ZZZZZE @ ZZZZZC) | ~ (ZZZZZD @ ZZZZZE)) & ((ZZZZZD @ (sk30 @ (ZZZZZD) @ ZZZZZC)) | ~ (in @ ZZZZZE @ ZZZZZC) | ~ (ZZZZZD @ ZZZZZE)) & (~ (in @ ZZZZZH @ ZZZZZF) | (ZZZZZG @ ZZZZZH) | (in @ (sk31 @ (ZZZZZG) @ ZZZZZF) @ ZZZZZF)) & (~ (in @ ZZZZZH @ ZZZZZF) | (ZZZZZG @ ZZZZZH) | ~ (ZZZZZG @ (sk31 @ (ZZZZZG) @ ZZZZZF))) & (~ (ZZZZZI @ ZZZZZJ) | (ZZZZZI @ (sk32 @ (ZZZZZI))) | (ZZZZZI @ (sk34 @ (ZZZZZI)))) & (~ (ZZZZZI @ ZZZZZJ) | (ZZZZZI @ (sk32 @ (ZZZZZI))) | ~ (ZZZZZI @ ZZZZZK) | ((sk34 @ (ZZZZZI)) = ZZZZZK)) & (~ (ZZZZZI @ ZZZZZJ) | (ZZZZZI @ (sk33 @ (ZZZZZI))) | (ZZZZZI @ (sk34 @ (ZZZZZI)))) & (~ (ZZZZZI @ ZZZZZJ) | (ZZZZZI @ (sk33 @ (ZZZZZI))) | ~ (ZZZZZI @ ZZZZZK) | ((sk34 @ (ZZZZZI)) = ZZZZZK)) & (~ (ZZZZZI @ ZZZZZJ) | ~ ((sk32 @ (ZZZZZI)) = (sk33 @ (ZZZZZI))) | (ZZZZZI @ (sk34 @ (ZZZZZI)))) & (~ (ZZZZZI @ ZZZZZJ) | ~ ((sk32 @ (ZZZZZI)) = (sk33 @ (ZZZZZI))) | ~ (ZZZZZI @ ZZZZZK) | ((sk34 @ (ZZZZZI)) = ZZZZZK)) & (~ ((ZZZZZL @ (sk35 @ ZZZZZM @ (ZZZZZL))) = ((sk35 @ ZZZZZM @ (ZZZZZL)) = ZZZZZM)) | (ZZZZZL @ (sk36 @ (ZZZZZL)))) & (~ ((ZZZZZL @ (sk35 @ ZZZZZM @ (ZZZZZL))) = ((sk35 @ ZZZZZM @ (ZZZZZL)) = ZZZZZM)) | ~ (ZZZZZL @ ZZZZZN) | ((sk36 @ (ZZZZZL)) = ZZZZZN)) & (~ (ZZZZZO = ZZZZZP) | ~ (ZZZZZQ = ZZZZZR) | ~ (in @ ZZZZZQ @ ZZZZZO) | (in @ ZZZZZR @ ZZZZZP)) & (~ (ZZZZZS = ZZZZZT) | ~ (ZZZZZU = ZZZZZV) | ((in @ ZZZZZU @ ZZZZZS) = (in @ ZZZZZV @ ZZZZZT))) & (~ (ZZZZZW @ ZZZZZX) | (ZZZZZW @ (sk37 @ ZZZZZX @ (ZZZZZW))) | ~ (ZZZZZW @ ZZZZZY) | ~ (ZZZZZW @ ZZZZZZ) | (ZZZZZY = ZZZZZZ)) & (~ (ZZZZZW @ ZZZZZX) | ~ (ZZZZZX = (sk37 @ ZZZZZX @ (ZZZZZW))) | ~ (ZZZZZW @ ZZZZZY) | ~ (ZZZZZW @ ZZZZZZ) | (ZZZZZY = ZZZZZZ)) & (((sk38 @ (ZZZZZZB) @ (ZZZZZZA)) = (sk39 @ (ZZZZZZB) @ (ZZZZZZA))) | ((? [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: ((ZZZZZZA @ ZZZZZZZZZZZZZZZZZZZZZZZZV) & ! [ZZZZZZZZZZZZZZZZZZZZZZZZW:$i]: ((ZZZZZZA @ ZZZZZZZZZZZZZZZZZZZZZZZZW) => (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZZZW)))) = (? [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: ((ZZZZZZB @ ZZZZZZZZZZZZZZZZZZZZZZZZV) & ! [ZZZZZZZZZZZZZZZZZZZZZZZZW:$i]: ((ZZZZZZB @ ZZZZZZZZZZZZZZZZZZZZZZZZW) => (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZZZW)))))) & (~ ((ZZZZZZA @ (sk38 @ (ZZZZZZB) @ (ZZZZZZA))) = (ZZZZZZB @ (sk39 @ (ZZZZZZB) @ (ZZZZZZA)))) | ((? [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: ((ZZZZZZA @ ZZZZZZZZZZZZZZZZZZZZZZZZV) & ! [ZZZZZZZZZZZZZZZZZZZZZZZZW:$i]: ((ZZZZZZA @ ZZZZZZZZZZZZZZZZZZZZZZZZW) => (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZZZW)))) = (? [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: ((ZZZZZZB @ ZZZZZZZZZZZZZZZZZZZZZZZZV) & ! [ZZZZZZZZZZZZZZZZZZZZZZZZW:$i]: ((ZZZZZZB @ ZZZZZZZZZZZZZZZZZZZZZZZZW) => (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZZZW)))))) & (~ (ZZZZZZC = ZZZZZZD) | ~ (ZZZZZZE = ZZZZZZF) | ((setadjoin @ ZZZZZZC @ ZZZZZZE) = (setadjoin @ ZZZZZZD @ ZZZZZZF))) & (~ (ZZZZZZG = ZZZZZZH) | ((powerset @ ZZZZZZG) = (powerset @ ZZZZZZH))) & (~ (ZZZZZZI = ZZZZZZJ) | ((setunion @ ZZZZZZI) = (setunion @ ZZZZZZJ))) & (~ (ZZZZZZK @ ZZZZZZL) | (ZZZZZZK @ (sk40 @ ZZZZZZL @ (ZZZZZZK))) | ~ (ZZZZZZK @ ZZZZZZM) | ~ (ZZZZZZK @ ZZZZZZN) | (ZZZZZZM = ZZZZZZN)) & (~ (ZZZZZZK @ ZZZZZZL) | ~ (ZZZZZZL = (sk40 @ ZZZZZZL @ (ZZZZZZK))) | ~ (ZZZZZZK @ ZZZZZZM) | ~ (ZZZZZZK @ ZZZZZZN) | (ZZZZZZM = ZZZZZZN)) & (((sk42 @ (ZZZZZZP) @ (ZZZZZZO)) = (sk43 @ (ZZZZZZP) @ (ZZZZZZO))) | (sk41 @ ZZZZZZO @ ZZZZZZP)) & (~ ((ZZZZZZO @ (sk42 @ (ZZZZZZP) @ (ZZZZZZO))) = (ZZZZZZP @ (sk43 @ (ZZZZZZP) @ (ZZZZZZO)))) | (sk41 @ ZZZZZZO @ ZZZZZZP)) & (~ (sk41 @ ZZZZZZO @ ZZZZZZP) | ~ (ZZZZZZO @ ZZZZZZQ) | (ZZZZZZO @ (sk44 @ ZZZZZZQ @ (ZZZZZZP) @ (ZZZZZZO))) | ~ (ZZZZZZP @ ZZZZZZR) | (ZZZZZZP @ (sk45 @ ZZZZZZR @ (ZZZZZZP) @ (ZZZZZZO))) | ((descr @ (ZZZZZZO)) = (descr @ (ZZZZZZP)))) & (~ (sk41 @ ZZZZZZO @ ZZZZZZP) | ~ (ZZZZZZO @ ZZZZZZQ) | (ZZZZZZO @ (sk44 @ ZZZZZZQ @ (ZZZZZZP) @ (ZZZZZZO))) | ~ (ZZZZZZP @ ZZZZZZR) | ~ (ZZZZZZR = (sk45 @ ZZZZZZR @ (ZZZZZZP) @ (ZZZZZZO))) | ((descr @ (ZZZZZZO)) = (descr @ (ZZZZZZP)))) & (~ (sk41 @ ZZZZZZO @ ZZZZZZP) | ~ (ZZZZZZO @ ZZZZZZQ) | ~ (ZZZZZZQ = (sk44 @ ZZZZZZQ @ (ZZZZZZP) @ (ZZZZZZO))) | ~ (ZZZZZZP @ ZZZZZZR) | (ZZZZZZP @ (sk45 @ ZZZZZZR @ (ZZZZZZP) @ (ZZZZZZO))) | ((descr @ (ZZZZZZO)) = (descr @ (ZZZZZZP)))) & (~ (sk41 @ ZZZZZZO @ ZZZZZZP) | ~ (ZZZZZZO @ ZZZZZZQ) | ~ (ZZZZZZQ = (sk44 @ ZZZZZZQ @ (ZZZZZZP) @ (ZZZZZZO))) | ~ (ZZZZZZP @ ZZZZZZR) | ~ (ZZZZZZR = (sk45 @ ZZZZZZR @ (ZZZZZZP) @ (ZZZZZZO))) | ((descr @ (ZZZZZZO)) = (descr @ (ZZZZZZP)))) & (~ (ZZZZZZS = ZZZZZZT) | (in @ (sk46 @ (ZZZZZZV) @ (ZZZZZZU) @ ZZZZZZT @ ZZZZZZS) @ ZZZZZZS) | ((dsetconstr @ ZZZZZZS @ (ZZZZZZU)) = (dsetconstr @ ZZZZZZT @ (ZZZZZZV)))) & (~ (ZZZZZZS = ZZZZZZT) | (in @ (sk47 @ (ZZZZZZV) @ (ZZZZZZU) @ ZZZZZZT @ ZZZZZZS) @ ZZZZZZT) | ((dsetconstr @ ZZZZZZS @ (ZZZZZZU)) = (dsetconstr @ ZZZZZZT @ (ZZZZZZV)))) & (~ (ZZZZZZS = ZZZZZZT) | ((sk46 @ (ZZZZZZV) @ (ZZZZZZU) @ ZZZZZZT @ ZZZZZZS) = (sk47 @ (ZZZZZZV) @ (ZZZZZZU) @ ZZZZZZT @ ZZZZZZS)) | ((dsetconstr @ ZZZZZZS @ (ZZZZZZU)) = (dsetconstr @ ZZZZZZT @ (ZZZZZZV)))) & (~ (ZZZZZZS = ZZZZZZT) | ~ ((ZZZZZZU @ (sk46 @ (ZZZZZZV) @ (ZZZZZZU) @ ZZZZZZT @ ZZZZZZS)) = (ZZZZZZV @ (sk47 @ (ZZZZZZV) @ (ZZZZZZU) @ ZZZZZZT @ ZZZZZZS))) | ((dsetconstr @ ZZZZZZS @ (ZZZZZZU)) = (dsetconstr @ ZZZZZZT @ (ZZZZZZV)))) & ((in @ (sk48 @ ZZZZZZX @ ZZZZZZW) @ ZZZZZZW) | (subset @ ZZZZZZW @ ZZZZZZX)) & (~ (in @ (sk48 @ ZZZZZZX @ ZZZZZZW) @ ZZZZZZX) | (subset @ ZZZZZZW @ ZZZZZZX)) & (~ (ZZZZZZY = ZZZZZZZ) | (subset @ ZZZZZZZ @ ZZZZZZY)) & (~ (ZZZZZZZA = ZZZZZZZB) | (subset @ ZZZZZZZA @ ZZZZZZZB)) & ((in @ (sk49 @ ZZZZZZZD @ ZZZZZZZC) @ ZZZZZZZC) | (subset @ ZZZZZZZC @ ZZZZZZZD)) & (~ (in @ (sk49 @ ZZZZZZZD @ ZZZZZZZC) @ ZZZZZZZD) | (subset @ ZZZZZZZC @ ZZZZZZZD)) & (subset @ emptyset @ ZZZZZZZE) & (~ (subset @ ZZZZZZZF @ ZZZZZZZG) | ~ (in @ ZZZZZZZH @ ZZZZZZZF) | (in @ ZZZZZZZH @ ZZZZZZZG)) & (~ (subset @ ZZZZZZZI @ ZZZZZZZJ) | (in @ ZZZZZZZK @ ZZZZZZZJ) | ~ (in @ ZZZZZZZK @ ZZZZZZZI)) & (~ (in @ ZZZZZZZN @ ZZZZZZZL) | (in @ ZZZZZZZN @ ZZZZZZZM) | ~ (subset @ ZZZZZZZL @ ZZZZZZZM)) & ((subset @ ZZZZZZZO @ ZZZZZZZP) | ~ (ZZZZZZZO = ZZZZZZZP)) & (~ (in @ ZZZZZZZS @ ZZZZZZZQ) | (in @ ZZZZZZZS @ ZZZZZZZR) | ~ (ZZZZZZZQ = ZZZZZZZR)) & (subset @ ZZZZZZZT @ ZZZZZZZT) & (~ (subset @ ZZZZZZZU @ ZZZZZZZV) | ~ (subset @ ZZZZZZZV @ ZZZZZZZW) | (subset @ ZZZZZZZU @ ZZZZZZZW)) & (subset @ ZZZZZZZY @ (setadjoin @ ZZZZZZZX @ ZZZZZZZY)) & (~ (subset @ ZZZZZZZZ @ ZZZZZZZZB) | (subset @ ZZZZZZZZ @ (setadjoin @ ZZZZZZZZA @ ZZZZZZZZB))) & (~ (subset @ ZZZZZZZZC @ ZZZZZZZZD) | (in @ ZZZZZZZZC @ (powerset @ ZZZZZZZZD))) & (~ (subset @ ZZZZZZZZE @ ZZZZZZZZF) | ~ (subset @ ZZZZZZZZF @ ZZZZZZZZE) | (ZZZZZZZZE = ZZZZZZZZF)) & (~ (subset @ ZZZZZZZZG @ emptyset) | (ZZZZZZZZG = emptyset)) & (~ (subset @ ZZZZZZZZI @ ZZZZZZZZH) | (in @ ZZZZZZZZI @ (powerset @ ZZZZZZZZH))) & (~ (in @ ZZZZZZZZK @ (powerset @ ZZZZZZZZJ)) | (subset @ ZZZZZZZZK @ ZZZZZZZZJ)) & (in @ ZZZZZZZZL @ (powerset @ ZZZZZZZZL)) & (~ (subset @ ZZZZZZZZM @ ZZZZZZZZN) | (subset @ (powerset @ ZZZZZZZZM) @ (powerset @ ZZZZZZZZN))) & (in @ (dsetconstr @ ZZZZZZZZO @ (ZZZZZZZZP)) @ (powerset @ ZZZZZZZZO)) & (subset @ (dsetconstr @ ZZZZZZZZQ @ (ZZZZZZZZR)) @ ZZZZZZZZQ) & (~ (in @ ZZZZZZZZU @ ZZZZZZZZS) | (in @ ZZZZZZZZU @ (binunion @ ZZZZZZZZS @ ZZZZZZZZT))) & (in @ ZZZZZZZZW @ (setadjoin @ ZZZZZZZZV @ (setadjoin @ ZZZZZZZZW @ emptyset))) & (~ (in @ ZZZZZZZZZ @ ZZZZZZZZY) | (in @ ZZZZZZZZZ @ (binunion @ ZZZZZZZZX @ ZZZZZZZZY))) & (~ (in @ ZZZZZZZZZC @ (binunion @ ZZZZZZZZZA @ ZZZZZZZZZB)) | (in @ ZZZZZZZZZC @ ZZZZZZZZZA) | (in @ ZZZZZZZZZC @ ZZZZZZZZZB) | (ZZZZZZZZZD)) & (~ (in @ ZZZZZZZZZC @ (binunion @ ZZZZZZZZZA @ ZZZZZZZZZB)) | (in @ ZZZZZZZZZC @ ZZZZZZZZZA) | ~ (ZZZZZZZZZD) | (ZZZZZZZZZD)) & (~ (in @ ZZZZZZZZZC @ (binunion @ ZZZZZZZZZA @ ZZZZZZZZZB)) | ~ (ZZZZZZZZZD) | (in @ ZZZZZZZZZC @ ZZZZZZZZZB) | (ZZZZZZZZZD)) & (~ (in @ ZZZZZZZZZC @ (binunion @ ZZZZZZZZZA @ ZZZZZZZZZB)) | ~ (ZZZZZZZZZD) | ~ (ZZZZZZZZZD) | (ZZZZZZZZZD)) & (~ (in @ ZZZZZZZZZG @ (binunion @ ZZZZZZZZZE @ ZZZZZZZZZF)) | (in @ ZZZZZZZZZG @ ZZZZZZZZZE) | (in @ ZZZZZZZZZG @ ZZZZZZZZZF)) & (subset @ ZZZZZZZZZH @ (binunion @ ZZZZZZZZZH @ ZZZZZZZZZI)) & (subset @ ZZZZZZZZZK @ (binunion @ ZZZZZZZZZJ @ ZZZZZZZZZK)) & (~ (in @ ZZZZZZZZZN @ ZZZZZZZZZL) | ~ (in @ ZZZZZZZZZN @ ZZZZZZZZZM) | (in @ ZZZZZZZZZN @ (binintersect @ ZZZZZZZZZL @ ZZZZZZZZZM))) & (~ (subset @ ZZZZZZZZZQ @ ZZZZZZZZZO) | ~ (subset @ ZZZZZZZZZQ @ ZZZZZZZZZP) | (subset @ ZZZZZZZZZQ @ (binintersect @ ZZZZZZZZZO @ ZZZZZZZZZP))) & (~ (in @ ZZZZZZZZZT @ (binintersect @ ZZZZZZZZZR @ ZZZZZZZZZS)) | (in @ ZZZZZZZZZT @ ZZZZZZZZZR)) & (subset @ (binintersect @ ZZZZZZZZZU @ ZZZZZZZZZV) @ ZZZZZZZZZU) & (~ (subset @ ZZZZZZZZZW @ ZZZZZZZZZX) | ((binintersect @ ZZZZZZZZZW @ ZZZZZZZZZX) = ZZZZZZZZZW)) & (~ ((binintersect @ ZZZZZZZZZY @ ZZZZZZZZZZ) = ZZZZZZZZZZ) | (subset @ ZZZZZZZZZZ @ ZZZZZZZZZY)) & (~ (in @ ZZZZZZZZZZC @ (binintersect @ ZZZZZZZZZZA @ ZZZZZZZZZZB)) | (in @ ZZZZZZZZZZC @ ZZZZZZZZZZB)) & ((in @ (sk50 @ ZZZZZZZZZZE @ ZZZZZZZZZZD) @ ZZZZZZZZZZD) | ((binintersect @ ZZZZZZZZZZD @ ZZZZZZZZZZE) = emptyset)) & ((in @ (sk50 @ ZZZZZZZZZZE @ ZZZZZZZZZZD) @ ZZZZZZZZZZE) | ((binintersect @ ZZZZZZZZZZD @ ZZZZZZZZZZE) = emptyset)) & (subset @ (binintersect @ ZZZZZZZZZZF @ ZZZZZZZZZZG) @ ZZZZZZZZZZG) & (~ (subset @ ZZZZZZZZZZI @ ZZZZZZZZZZH) | ((binintersect @ ZZZZZZZZZZH @ ZZZZZZZZZZI) = ZZZZZZZZZZI)) & (~ ((binintersect @ ZZZZZZZZZZJ @ ZZZZZZZZZZK) = ZZZZZZZZZZJ) | (subset @ ZZZZZZZZZZJ @ ZZZZZZZZZZK)) & ((binintersect @ ZZZZZZZZZZL @ (binunion @ ZZZZZZZZZZM @ ZZZZZZZZZZN)) = (binunion @ (binintersect @ ZZZZZZZZZZL @ ZZZZZZZZZZM) @ (binintersect @ ZZZZZZZZZZL @ ZZZZZZZZZZN))) & (~ (in @ ZZZZZZZZZZQ @ ZZZZZZZZZZO) | (in @ ZZZZZZZZZZQ @ ZZZZZZZZZZP) | (in @ ZZZZZZZZZZQ @ (setminus @ ZZZZZZZZZZO @ ZZZZZZZZZZP))) & (~ (in @ ZZZZZZZZZZT @ (setminus @ ZZZZZZZZZZR @ ZZZZZZZZZZS)) | (in @ ZZZZZZZZZZT @ ZZZZZZZZZZR)) & (~ (in @ ZZZZZZZZZZW @ (setminus @ ZZZZZZZZZZU @ ZZZZZZZZZZV)) | ~ (in @ ZZZZZZZZZZW @ ZZZZZZZZZZV)) & (~ (subset @ ZZZZZZZZZZX @ ZZZZZZZZZZY) | ((setminus @ ZZZZZZZZZZX @ ZZZZZZZZZZY) = emptyset)) & ((in @ ZZZZZZZZZZZB @ (setminus @ ZZZZZZZZZZZ @ ZZZZZZZZZZZA)) | ~ (in @ ZZZZZZZZZZZB @ ZZZZZZZZZZZ) | (in @ ZZZZZZZZZZZB @ ZZZZZZZZZZZA)) & ((in @ ZZZZZZZZZZZE @ (setminus @ ZZZZZZZZZZZC @ ZZZZZZZZZZZD)) | (in @ ZZZZZZZZZZZE @ ZZZZZZZZZZZD) | ~ (in @ ZZZZZZZZZZZE @ ZZZZZZZZZZZC)) & ((in @ ZZZZZZZZZZZH @ ZZZZZZZZZZZF) | ~ (in @ ZZZZZZZZZZZH @ (setminus @ ZZZZZZZZZZZF @ ZZZZZZZZZZZG))) & (~ (in @ ZZZZZZZZZZZK @ ZZZZZZZZZZZJ) | ~ (in @ ZZZZZZZZZZZK @ (setminus @ ZZZZZZZZZZZI @ ZZZZZZZZZZZJ))) & (subset @ (setminus @ ZZZZZZZZZZZL @ ZZZZZZZZZZZM) @ ZZZZZZZZZZZL) & (~ ((setminus @ ZZZZZZZZZZZN @ ZZZZZZZZZZZO) = emptyset) | (subset @ ZZZZZZZZZZZN @ ZZZZZZZZZZZO)) & (~ (in @ ZZZZZZZZZZZR @ (symdiff @ ZZZZZZZZZZZP @ ZZZZZZZZZZZQ)) | (in @ ZZZZZZZZZZZR @ ZZZZZZZZZZZP) | ~ (in @ ZZZZZZZZZZZR @ ZZZZZZZZZZZP) | (ZZZZZZZZZZZS)) & (~ (in @ ZZZZZZZZZZZR @ (symdiff @ ZZZZZZZZZZZP @ ZZZZZZZZZZZQ)) | (in @ ZZZZZZZZZZZR @ ZZZZZZZZZZZP) | (in @ ZZZZZZZZZZZR @ ZZZZZZZZZZZQ) | (ZZZZZZZZZZZS)) & (~ (in @ ZZZZZZZZZZZR @ (symdiff @ ZZZZZZZZZZZP @ ZZZZZZZZZZZQ)) | (in @ ZZZZZZZZZZZR @ ZZZZZZZZZZZP) | ~ (ZZZZZZZZZZZS) | (ZZZZZZZZZZZS)) & (~ (in @ ZZZZZZZZZZZR @ (symdiff @ ZZZZZZZZZZZP @ ZZZZZZZZZZZQ)) | ~ (in @ ZZZZZZZZZZZR @ ZZZZZZZZZZZQ) | ~ (in @ ZZZZZZZZZZZR @ ZZZZZZZZZZZP) | (ZZZZZZZZZZZS)) & (~ (in @ ZZZZZZZZZZZR @ (symdiff @ ZZZZZZZZZZZP @ ZZZZZZZZZZZQ)) | ~ (in @ ZZZZZZZZZZZR @ ZZZZZZZZZZZQ) | (in @ ZZZZZZZZZZZR @ ZZZZZZZZZZZQ) | (ZZZZZZZZZZZS)) & (~ (in @ ZZZZZZZZZZZR @ (symdiff @ ZZZZZZZZZZZP @ ZZZZZZZZZZZQ)) | ~ (in @ ZZZZZZZZZZZR @ ZZZZZZZZZZZQ) | ~ (ZZZZZZZZZZZS) | (ZZZZZZZZZZZS)) & (~ (in @ ZZZZZZZZZZZR @ (symdiff @ ZZZZZZZZZZZP @ ZZZZZZZZZZZQ)) | ~ (ZZZZZZZZZZZS) | ~ (in @ ZZZZZZZZZZZR @ ZZZZZZZZZZZP) | (ZZZZZZZZZZZS)) & (~ (in @ ZZZZZZZZZZZR @ (symdiff @ ZZZZZZZZZZZP @ ZZZZZZZZZZZQ)) | ~ (ZZZZZZZZZZZS) | (in @ ZZZZZZZZZZZR @ ZZZZZZZZZZZQ) | (ZZZZZZZZZZZS)) & (~ (in @ ZZZZZZZZZZZR @ (symdiff @ ZZZZZZZZZZZP @ ZZZZZZZZZZZQ)) | ~ (ZZZZZZZZZZZS) | ~ (ZZZZZZZZZZZS) | (ZZZZZZZZZZZS)) & (~ (in @ ZZZZZZZZZZZV @ ZZZZZZZZZZZT) | (in @ ZZZZZZZZZZZV @ ZZZZZZZZZZZU) | (in @ ZZZZZZZZZZZV @ (symdiff @ ZZZZZZZZZZZT @ ZZZZZZZZZZZU))) & ((in @ ZZZZZZZZZZZY @ ZZZZZZZZZZZW) | ~ (in @ ZZZZZZZZZZZY @ ZZZZZZZZZZZX) | (in @ ZZZZZZZZZZZY @ (symdiff @ ZZZZZZZZZZZW @ ZZZZZZZZZZZX))) & (~ (in @ ZZZZZZZZZZZZB @ ZZZZZZZZZZZZ) | ~ (in @ ZZZZZZZZZZZZB @ ZZZZZZZZZZZZA) | ~ (in @ ZZZZZZZZZZZZB @ (symdiff @ ZZZZZZZZZZZZ @ ZZZZZZZZZZZZA))) & ((in @ ZZZZZZZZZZZZE @ ZZZZZZZZZZZZC) | (in @ ZZZZZZZZZZZZE @ ZZZZZZZZZZZZD) | ~ (in @ ZZZZZZZZZZZZE @ (symdiff @ ZZZZZZZZZZZZC @ ZZZZZZZZZZZZD))) & (in @ ZZZZZZZZZZZZG @ (setadjoin @ ZZZZZZZZZZZZF @ (setadjoin @ ZZZZZZZZZZZZG @ emptyset))) & (in @ ZZZZZZZZZZZZH @ (setunion @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZH @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZH @ (setadjoin @ ZZZZZZZZZZZZI @ emptyset)) @ emptyset)))) & (in @ ZZZZZZZZZZZZK @ (setunion @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZJ @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZJ @ (setadjoin @ ZZZZZZZZZZZZK @ emptyset)) @ emptyset)))) & (iskpair @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZL @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZL @ (setadjoin @ ZZZZZZZZZZZZM @ emptyset)) @ emptyset))) & (iskpair @ (kpair @ ZZZZZZZZZZZZN @ ZZZZZZZZZZZZO)) & (~ (in @ ZZZZZZZZZZZZQ @ ZZZZZZZZZZZZP) | (subset @ (setadjoin @ ZZZZZZZZZZZZQ @ emptyset) @ ZZZZZZZZZZZZP)) & (~ (in @ ZZZZZZZZZZZZS @ ZZZZZZZZZZZZR) | (in @ (setadjoin @ ZZZZZZZZZZZZS @ emptyset) @ (powerset @ ZZZZZZZZZZZZR))) & (~ (in @ ZZZZZZZZZZZZV @ ZZZZZZZZZZZZT) | (in @ (setadjoin @ ZZZZZZZZZZZZV @ emptyset) @ (powerset @ (binunion @ ZZZZZZZZZZZZT @ ZZZZZZZZZZZZU)))) & (~ (in @ ZZZZZZZZZZZZY @ (setadjoin @ ZZZZZZZZZZZZW @ (setadjoin @ ZZZZZZZZZZZZX @ emptyset))) | (ZZZZZZZZZZZZY = ZZZZZZZZZZZZW) | (ZZZZZZZZZZZZY = ZZZZZZZZZZZZX)) & (~ (in @ ZZZZZZZZZZZZZB @ ZZZZZZZZZZZZZ) | ~ (in @ ZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZA) | (subset @ (setadjoin @ ZZZZZZZZZZZZZB @ (setadjoin @ ZZZZZZZZZZZZZC @ emptyset)) @ (binunion @ ZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZA))) & (~ (in @ ZZZZZZZZZZZZZF @ ZZZZZZZZZZZZZD) | ~ (in @ ZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZE) | (in @ (setadjoin @ ZZZZZZZZZZZZZF @ (setadjoin @ ZZZZZZZZZZZZZG @ emptyset)) @ (powerset @ (binunion @ ZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZE)))) & (~ (in @ ZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZH) | ~ (in @ ZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZI) | (subset @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZJ @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZJ @ (setadjoin @ ZZZZZZZZZZZZZK @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ ZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZI)))) & (~ (in @ ZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZL) | ~ (in @ ZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZM) | (in @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZN @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZN @ (setadjoin @ ZZZZZZZZZZZZZO @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ ZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZM))))) & (~ (in @ ZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZP) | ~ (in @ ZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZQ) | (in @ (kpair @ ZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZS) @ (powerset @ (powerset @ (binunion @ ZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZQ))))) & (~ (in @ ZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZT) | ~ (in @ ZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZU) | (in @ (kpair @ ZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZW) @ (cartprod @ ZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZU))) & (~ (in @ ZZZZZZZZZZZZZZ @ (cartprod @ ZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZY)) | (in @ (sk51 @ ZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZY @ ZZZZZZZZZZZZZX) @ ZZZZZZZZZZZZZX)) & (~ (in @ ZZZZZZZZZZZZZZ @ (cartprod @ ZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZY)) | (in @ (sk52 @ ZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZY @ ZZZZZZZZZZZZZX) @ ZZZZZZZZZZZZZY)) & (~ (in @ ZZZZZZZZZZZZZZ @ (cartprod @ ZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZY)) | (ZZZZZZZZZZZZZZ = (kpair @ (sk51 @ ZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZY @ ZZZZZZZZZZZZZX) @ (sk52 @ ZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZY @ ZZZZZZZZZZZZZX)))) & (~ (in @ ZZZZZZZZZZZZZZC @ (cartprod @ ZZZZZZZZZZZZZZA @ ZZZZZZZZZZZZZZB)) | (iskpair @ ZZZZZZZZZZZZZZC)) & (~ (in @ ZZZZZZZZZZZZZZE @ (setunion @ ZZZZZZZZZZZZZZD)) | (in @ (sk53 @ ZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZD) @ ZZZZZZZZZZZZZZD)) & (~ (in @ ZZZZZZZZZZZZZZE @ (setunion @ ZZZZZZZZZZZZZZD)) | (in @ ZZZZZZZZZZZZZZE @ (sk53 @ ZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZD))) & (subset @ (setunion @ (setadjoin @ ZZZZZZZZZZZZZZF @ emptyset)) @ ZZZZZZZZZZZZZZF) & (subset @ ZZZZZZZZZZZZZZG @ (setunion @ (setadjoin @ ZZZZZZZZZZZZZZG @ emptyset))) & ((setunion @ (setadjoin @ ZZZZZZZZZZZZZZH @ emptyset)) = ZZZZZZZZZZZZZZH) & ((in @ (sk54 @ (ZZZZZZZZZZZZZZJ) @ ZZZZZZZZZZZZZZI) @ ZZZZZZZZZZZZZZI) | ~ (in @ ZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZI) | ~ (ZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZK) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZI @ (ZZZZZZZZZZZZZZJ)))) & ((in @ (sk55 @ (ZZZZZZZZZZZZZZJ) @ ZZZZZZZZZZZZZZI) @ ZZZZZZZZZZZZZZI) | ~ (in @ ZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZI) | ~ (ZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZK) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZI @ (ZZZZZZZZZZZZZZJ)))) & ((ZZZZZZZZZZZZZZJ @ (sk54 @ (ZZZZZZZZZZZZZZJ) @ ZZZZZZZZZZZZZZI)) | ~ (in @ ZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZI) | ~ (ZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZK) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZI @ (ZZZZZZZZZZZZZZJ)))) & ((ZZZZZZZZZZZZZZJ @ (sk55 @ (ZZZZZZZZZZZZZZJ) @ ZZZZZZZZZZZZZZI)) | ~ (in @ ZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZI) | ~ (ZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZK) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZI @ (ZZZZZZZZZZZZZZJ)))) & (~ ((sk54 @ (ZZZZZZZZZZZZZZJ) @ ZZZZZZZZZZZZZZI) = (sk55 @ (ZZZZZZZZZZZZZZJ) @ ZZZZZZZZZZZZZZI)) | ~ (in @ ZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZI) | ~ (ZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZK) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZI @ (ZZZZZZZZZZZZZZJ)))) & (~ (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZL @ (ZZZZZZZZZZZZZZM))) | (in @ (sk56 @ (ZZZZZZZZZZZZZZM) @ ZZZZZZZZZZZZZZL) @ ZZZZZZZZZZZZZZL)) & (~ (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZL @ (ZZZZZZZZZZZZZZM))) | (ZZZZZZZZZZZZZZM @ (sk56 @ (ZZZZZZZZZZZZZZM) @ ZZZZZZZZZZZZZZL))) & (~ (in @ ZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZN) | ~ (ZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZP) | (in @ (sk57 @ ZZZZZZZZZZZZZZP @ (ZZZZZZZZZZZZZZO) @ ZZZZZZZZZZZZZZN) @ ZZZZZZZZZZZZZZN) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZN @ (ZZZZZZZZZZZZZZO)))) & (~ (in @ ZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZN) | ~ (ZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZP) | (ZZZZZZZZZZZZZZO @ (sk57 @ ZZZZZZZZZZZZZZP @ (ZZZZZZZZZZZZZZO) @ ZZZZZZZZZZZZZZN)) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZN @ (ZZZZZZZZZZZZZZO)))) & (~ (in @ ZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZN) | ~ (ZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZP) | ~ ((sk57 @ ZZZZZZZZZZZZZZP @ (ZZZZZZZZZZZZZZO) @ ZZZZZZZZZZZZZZN) = ZZZZZZZZZZZZZZP) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZN @ (ZZZZZZZZZZZZZZO)))) & ((in @ (sk58 @ (ZZZZZZZZZZZZZZR) @ ZZZZZZZZZZZZZZQ) @ ZZZZZZZZZZZZZZQ) | ~ (in @ ZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZQ) | ~ (ZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZS) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZQ @ (ZZZZZZZZZZZZZZR)))) & ((in @ (sk59 @ (ZZZZZZZZZZZZZZR) @ ZZZZZZZZZZZZZZQ) @ ZZZZZZZZZZZZZZQ) | ~ (in @ ZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZQ) | ~ (ZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZS) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZQ @ (ZZZZZZZZZZZZZZR)))) & ((ZZZZZZZZZZZZZZR @ (sk58 @ (ZZZZZZZZZZZZZZR) @ ZZZZZZZZZZZZZZQ)) | ~ (in @ ZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZQ) | ~ (ZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZS) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZQ @ (ZZZZZZZZZZZZZZR)))) & ((ZZZZZZZZZZZZZZR @ (sk59 @ (ZZZZZZZZZZZZZZR) @ ZZZZZZZZZZZZZZQ)) | ~ (in @ ZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZQ) | ~ (ZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZS) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZQ @ (ZZZZZZZZZZZZZZR)))) & (~ ((sk58 @ (ZZZZZZZZZZZZZZR) @ ZZZZZZZZZZZZZZQ) = (sk59 @ (ZZZZZZZZZZZZZZR) @ ZZZZZZZZZZZZZZQ)) | ~ (in @ ZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZQ) | ~ (ZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZS) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZQ @ (ZZZZZZZZZZZZZZR)))) & (~ ((setadjoin @ ZZZZZZZZZZZZZZT @ emptyset) = (setadjoin @ ZZZZZZZZZZZZZZU @ emptyset)) | (ZZZZZZZZZZZZZZT = ZZZZZZZZZZZZZZU)) & (~ (in @ (setadjoin @ ZZZZZZZZZZZZZZX @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZV @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZV @ (setadjoin @ ZZZZZZZZZZZZZZW @ emptyset)) @ emptyset))) | (ZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZX)) & (~ (iskpair @ ZZZZZZZZZZZZZZY) | (singleton @ (dsetconstr @ (setunion @ ZZZZZZZZZZZZZZY) @ (^ [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: (in @ (setadjoin @ ZZZZZZZZZZZZZZZZZZZZZZZZV @ emptyset) @ ZZZZZZZZZZZZZZY))))) & (~ (singleton @ ZZZZZZZZZZZZZZZ) | (in @ (setunion @ ZZZZZZZZZZZZZZZ) @ ZZZZZZZZZZZZZZZ)) & ((kfst @ (kpair @ ZZZZZZZZZZZZZZZA @ ZZZZZZZZZZZZZZZB)) = ZZZZZZZZZZZZZZZA) & (~ (in @ ZZZZZZZZZZZZZZZE @ (cartprod @ ZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZD)) | (in @ (kfst @ ZZZZZZZZZZZZZZZE) @ ZZZZZZZZZZZZZZZC)) & (~ ((setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZF @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZF @ (setadjoin @ ZZZZZZZZZZZZZZZG @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZH @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZH @ (setadjoin @ ZZZZZZZZZZZZZZZI @ emptyset)) @ emptyset))) | (ZZZZZZZZZZZZZZZF = ZZZZZZZZZZZZZZZH)) & (~ ((kpair @ ZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZK) = (kpair @ ZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZM)) | (ZZZZZZZZZZZZZZZJ = ZZZZZZZZZZZZZZZL)) & (~ (ZZZZZZZZZZZZZZZN = ZZZZZZZZZZZZZZZO) | ((setadjoin @ ZZZZZZZZZZZZZZZN @ (setadjoin @ ZZZZZZZZZZZZZZZO @ emptyset)) = (setadjoin @ ZZZZZZZZZZZZZZZN @ emptyset))) & (~ (ZZZZZZZZZZZZZZZP = ZZZZZZZZZZZZZZZQ) | ((setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZP @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZP @ (setadjoin @ ZZZZZZZZZZZZZZZQ @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZP @ emptyset) @ emptyset))) & (~ ((setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZR @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZR @ (setadjoin @ ZZZZZZZZZZZZZZZS @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZT @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZT @ (setadjoin @ ZZZZZZZZZZZZZZZU @ emptyset)) @ emptyset))) | ~ (ZZZZZZZZZZZZZZZT = ZZZZZZZZZZZZZZZU) | (ZZZZZZZZZZZZZZZS = ZZZZZZZZZZZZZZZU)) & (~ ((setadjoin @ ZZZZZZZZZZZZZZZV @ (setadjoin @ ZZZZZZZZZZZZZZZW @ emptyset)) = (setadjoin @ ZZZZZZZZZZZZZZZX @ emptyset)) | (ZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZW)) & (~ ((setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZY @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZY @ (setadjoin @ ZZZZZZZZZZZZZZZZ @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZZA @ emptyset) @ (setadjoin @ (setadjoin @ ZZZZZZZZZZZZZZZZA @ (setadjoin @ ZZZZZZZZZZZZZZZZB @ emptyset)) @ emptyset))) | (ZZZZZZZZZZZZZZZZ = ZZZZZZZZZZZZZZZZB)) & (~ ((kpair @ ZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZD) = (kpair @ ZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZF)) | (ZZZZZZZZZZZZZZZZD = ZZZZZZZZZZZZZZZZF)) & (~ (iskpair @ ZZZZZZZZZZZZZZZZG) | (singleton @ (dsetconstr @ (setunion @ ZZZZZZZZZZZZZZZZG) @ (^ [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: (ZZZZZZZZZZZZZZZZG = (kpair @ (kfst @ ZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZZZZV)))))) & ((ksnd @ (kpair @ ZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZI)) = ZZZZZZZZZZZZZZZZI) & (~ (iskpair @ ZZZZZZZZZZZZZZZZJ) | ((kpair @ (kfst @ ZZZZZZZZZZZZZZZZJ) @ (ksnd @ ZZZZZZZZZZZZZZZZJ)) = ZZZZZZZZZZZZZZZZJ)) & (~ (in @ ZZZZZZZZZZZZZZZZM @ (cartprod @ ZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZL)) | (in @ (ksnd @ ZZZZZZZZZZZZZZZZM) @ ZZZZZZZZZZZZZZZZL)) & (~ (in @ (kpair @ ZZZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZZZQ) @ (cartprod @ ZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZO)) | (in @ ZZZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZZZN)) & (~ (in @ (kpair @ ZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZU) @ (cartprod @ ZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZS)) | (in @ ZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZS)) & (~ (in @ ZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZV) | ~ (in @ ZZZZZZZZZZZZZZZZY @ ZZZZZZZZZZZZZZZZW) | ((kfst @ (kpair @ ZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZY)) = ZZZZZZZZZZZZZZZZX)) & (~ (in @ ZZZZZZZZZZZZZZZZZB @ ZZZZZZZZZZZZZZZZZ) | ~ (in @ ZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZA) | ((ksnd @ (kpair @ ZZZZZZZZZZZZZZZZZB @ ZZZZZZZZZZZZZZZZZC)) = ZZZZZZZZZZZZZZZZZC)) & (~ (in @ ZZZZZZZZZZZZZZZZZF @ (cartprod @ ZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZE)) | ((kpair @ (kfst @ ZZZZZZZZZZZZZZZZZF) @ (ksnd @ ZZZZZZZZZZZZZZZZZF)) = ZZZZZZZZZZZZZZZZZF)) & (~ (in @ ZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZG) | ~ (in @ ZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZH) | ~ (ZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZK) | (in @ (kpair @ ZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZK) @ (dpsetconstr @ ZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZH @ (ZZZZZZZZZZZZZZZZZI)))) & (subset @ (dpsetconstr @ ZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZM @ (ZZZZZZZZZZZZZZZZZN)) @ (cartprod @ ZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZM)) & (subset @ (dpsetconstr @ ZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZP @ (ZZZZZZZZZZZZZZZZZQ)) @ (cartprod @ ZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZP)) & (~ (in @ ZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZR) | ~ (in @ ZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZS) | ~ (in @ (kpair @ ZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZV) @ (dpsetconstr @ ZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZS @ (ZZZZZZZZZZZZZZZZZT))) | (ZZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZV)) & (~ (in @ (kpair @ ZZZZZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZZZZZZA) @ (dpsetconstr @ ZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZX @ (ZZZZZZZZZZZZZZZZZY))) | (in @ ZZZZZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZZZZZW)) & (~ (in @ (kpair @ ZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZF) @ (dpsetconstr @ ZZZZZZZZZZZZZZZZZZB @ ZZZZZZZZZZZZZZZZZZC @ (ZZZZZZZZZZZZZZZZZZD))) | (in @ ZZZZZZZZZZZZZZZZZZF @ ZZZZZZZZZZZZZZZZZZC)) & (~ (in @ (kpair @ ZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZK) @ (dpsetconstr @ ZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZH @ (ZZZZZZZZZZZZZZZZZZI))) | (ZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZK)) & (~ (func @ ZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZM @ ZZZZZZZZZZZZZZZZZZN) | ~ (in @ ZZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZZL) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZZZZZM @ (^ [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: (in @ (kpair @ ZZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZZZZZZZZV) @ ZZZZZZZZZZZZZZZZZZN))))) & (~ (func @ ZZZZZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZZZZZQ @ ZZZZZZZZZZZZZZZZZZR) | ~ (in @ ZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZP) | (in @ (setunion @ (dsetconstr @ ZZZZZZZZZZZZZZZZZZQ @ (^ [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: (in @ (kpair @ ZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZZZZZV) @ ZZZZZZZZZZZZZZZZZZR)))) @ ZZZZZZZZZZZZZZZZZZQ)) & (~ (func @ ZZZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZV) | ~ (in @ ZZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZZT) | (in @ (ap @ ZZZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZW) @ ZZZZZZZZZZZZZZZZZZU)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZ @ (funcSet @ ZZZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZZZY)) | (func @ ZZZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZZZY @ ZZZZZZZZZZZZZZZZZZZ)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZC @ (funcSet @ ZZZZZZZZZZZZZZZZZZZA @ ZZZZZZZZZZZZZZZZZZZB)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZZZA) | (in @ (ap @ ZZZZZZZZZZZZZZZZZZZA @ ZZZZZZZZZZZZZZZZZZZB @ ZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZD) @ ZZZZZZZZZZZZZZZZZZZB)) & (~ (func @ ZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZF @ ZZZZZZZZZZZZZZZZZZZG) | (in @ ZZZZZZZZZZZZZZZZZZZG @ (funcSet @ ZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZF))) & ((in @ (sk60 @ (ZZZZZZZZZZZZZZZZZZZJ) @ ZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZH) @ ZZZZZZZZZZZZZZZZZZZH) | (func @ ZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZI @ (dpsetconstr @ ZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZI @ (^ [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: ((=) @ $i @ (ZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZZZZV)))))) & (~ (in @ (ZZZZZZZZZZZZZZZZZZZJ @ (sk60 @ (ZZZZZZZZZZZZZZZZZZZJ) @ ZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZH)) @ ZZZZZZZZZZZZZZZZZZZI) | (func @ ZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZI @ (dpsetconstr @ ZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZI @ (^ [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: ((=) @ $i @ (ZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZZZZV)))))) & ((in @ (sk61 @ (ZZZZZZZZZZZZZZZZZZZM) @ ZZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZZK) @ ZZZZZZZZZZZZZZZZZZZK) | (func @ ZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZL @ (lam @ ZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZL @ (ZZZZZZZZZZZZZZZZZZZM)))) & (~ (in @ (ZZZZZZZZZZZZZZZZZZZM @ (sk61 @ (ZZZZZZZZZZZZZZZZZZZM) @ ZZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZZK)) @ ZZZZZZZZZZZZZZZZZZZL) | (func @ ZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZL @ (lam @ ZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZL @ (ZZZZZZZZZZZZZZZZZZZM)))) & ((in @ (sk62 @ (ZZZZZZZZZZZZZZZZZZZP) @ ZZZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZZZN) @ ZZZZZZZZZZZZZZZZZZZN) | (in @ (lam @ ZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZO @ (ZZZZZZZZZZZZZZZZZZZP)) @ (funcSet @ ZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZO))) & (~ (in @ (ZZZZZZZZZZZZZZZZZZZP @ (sk62 @ (ZZZZZZZZZZZZZZZZZZZP) @ ZZZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZZZN)) @ ZZZZZZZZZZZZZZZZZZZO) | (in @ (lam @ ZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZO @ (ZZZZZZZZZZZZZZZZZZZP)) @ (funcSet @ ZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZO))) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZS @ (cartprod @ ZZZZZZZZZZZZZZZZZZZQ @ ZZZZZZZZZZZZZZZZZZZR)) | (in @ (sk63 @ (ZZZZZZZZZZZZZZZZZZZT) @ ZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZQ) @ ZZZZZZZZZZZZZZZZZZZQ) | ~ (in @ ZZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZZS) | (ZZZZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZZZZU)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZS @ (cartprod @ ZZZZZZZZZZZZZZZZZZZQ @ ZZZZZZZZZZZZZZZZZZZR)) | (in @ (sk64 @ (ZZZZZZZZZZZZZZZZZZZT) @ ZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZQ) @ ZZZZZZZZZZZZZZZZZZZR) | ~ (in @ ZZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZZS) | (ZZZZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZZZZU)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZS @ (cartprod @ ZZZZZZZZZZZZZZZZZZZQ @ ZZZZZZZZZZZZZZZZZZZR)) | (in @ (kpair @ (sk63 @ (ZZZZZZZZZZZZZZZZZZZT) @ ZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZQ) @ (sk64 @ (ZZZZZZZZZZZZZZZZZZZT) @ ZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZQ)) @ ZZZZZZZZZZZZZZZZZZZS) | ~ (in @ ZZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZZS) | (ZZZZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZZZZU)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZS @ (cartprod @ ZZZZZZZZZZZZZZZZZZZQ @ ZZZZZZZZZZZZZZZZZZZR)) | ~ (ZZZZZZZZZZZZZZZZZZZT @ (kpair @ (sk63 @ (ZZZZZZZZZZZZZZZZZZZT) @ ZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZQ) @ (sk64 @ (ZZZZZZZZZZZZZZZZZZZT) @ ZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZQ))) | ~ (in @ ZZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZZS) | (ZZZZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZZZZU)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZX @ (cartprod @ ZZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZZW)) | (in @ (sk65 @ (ZZZZZZZZZZZZZZZZZZZY) @ ZZZZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZZZV) @ ZZZZZZZZZZZZZZZZZZZV) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZZZZZZZX) | (ZZZZZZZZZZZZZZZZZZZY @ ZZZZZZZZZZZZZZZZZZZZ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZX @ (cartprod @ ZZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZZW)) | (in @ (sk66 @ (ZZZZZZZZZZZZZZZZZZZY) @ ZZZZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZZZV) @ ZZZZZZZZZZZZZZZZZZZW) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZZZZZZZX) | (ZZZZZZZZZZZZZZZZZZZY @ ZZZZZZZZZZZZZZZZZZZZ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZX @ (cartprod @ ZZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZZW)) | (in @ (kpair @ (sk65 @ (ZZZZZZZZZZZZZZZZZZZY) @ ZZZZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZZZV) @ (sk66 @ (ZZZZZZZZZZZZZZZZZZZY) @ ZZZZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZZZV)) @ ZZZZZZZZZZZZZZZZZZZX) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZZZZZZZX) | (ZZZZZZZZZZZZZZZZZZZY @ ZZZZZZZZZZZZZZZZZZZZ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZX @ (cartprod @ ZZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZZW)) | ~ (ZZZZZZZZZZZZZZZZZZZY @ (kpair @ (sk65 @ (ZZZZZZZZZZZZZZZZZZZY) @ ZZZZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZZZV) @ (sk66 @ (ZZZZZZZZZZZZZZZZZZZY) @ ZZZZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZZZV))) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZZZZZZZX) | (ZZZZZZZZZZZZZZZZZZZY @ ZZZZZZZZZZZZZZZZZZZZ)) & (~ (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZZZZZZZA @ (ZZZZZZZZZZZZZZZZZZZZB))) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZZA) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZZZZA) | ~ (ZZZZZZZZZZZZZZZZZZZZB @ ZZZZZZZZZZZZZZZZZZZZC) | ~ (ZZZZZZZZZZZZZZZZZZZZB @ ZZZZZZZZZZZZZZZZZZZZD) | (ZZZZZZZZZZZZZZZZZZZZC = ZZZZZZZZZZZZZZZZZZZZD)) & (~ (func @ ZZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZZF @ ZZZZZZZZZZZZZZZZZZZZG) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZE) | (in @ (kpair @ ZZZZZZZZZZZZZZZZZZZZH @ (ap @ ZZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZZF @ ZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZH)) @ ZZZZZZZZZZZZZZZZZZZZG)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZK @ (funcSet @ ZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZJ)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZZZI) | (in @ (kpair @ ZZZZZZZZZZZZZZZZZZZZL @ (ap @ ZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZZL)) @ ZZZZZZZZZZZZZZZZZZZZK)) & (~ (func @ ZZZZZZZZZZZZZZZZZZZZM @ ZZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZZO) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZZZZZZZM) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZQ @ ZZZZZZZZZZZZZZZZZZZZN) | ~ (in @ (kpair @ ZZZZZZZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZZZZZZZQ) @ ZZZZZZZZZZZZZZZZZZZZO) | ((ap @ ZZZZZZZZZZZZZZZZZZZZM @ ZZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZZZZP) = ZZZZZZZZZZZZZZZZZZZZQ)) & (~ (func @ ZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZT) | ~ (func @ ZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZU) | (in @ (sk67 @ ZZZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZR) @ ZZZZZZZZZZZZZZZZZZZZR) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZZZR) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZZZZS) | ~ (in @ (kpair @ ZZZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZZZW) @ ZZZZZZZZZZZZZZZZZZZZU) | (in @ (kpair @ ZZZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZZZW) @ ZZZZZZZZZZZZZZZZZZZZT)) & (~ (func @ ZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZT) | ~ (func @ ZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZU) | ~ ((ap @ ZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZT @ (sk67 @ ZZZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZR)) = (ap @ ZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZU @ (sk67 @ ZZZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZR))) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZZZR) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZZZZS) | ~ (in @ (kpair @ ZZZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZZZW) @ ZZZZZZZZZZZZZZZZZZZZU) | (in @ (kpair @ ZZZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZZZW) @ ZZZZZZZZZZZZZZZZZZZZT)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZ @ (funcSet @ ZZZZZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZZZZZY)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZA @ ZZZZZZZZZZZZZZZZZZZZX) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZB @ ZZZZZZZZZZZZZZZZZZZZY) | ~ (in @ (kpair @ ZZZZZZZZZZZZZZZZZZZZZA @ ZZZZZZZZZZZZZZZZZZZZZB) @ ZZZZZZZZZZZZZZZZZZZZZ) | ((ap @ ZZZZZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZZZZZY @ ZZZZZZZZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZZZZZZZZZA) = ZZZZZZZZZZZZZZZZZZZZZB)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZE @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZZZD)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZF @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZZZD)) | (in @ (sk68 @ ZZZZZZZZZZZZZZZZZZZZZF @ ZZZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZZZZZC) @ ZZZZZZZZZZZZZZZZZZZZZC) | (subset @ ZZZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZZZF)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZE @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZZZD)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZF @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZZZD)) | (in @ (sk69 @ ZZZZZZZZZZZZZZZZZZZZZF @ ZZZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZZZZZC) @ ZZZZZZZZZZZZZZZZZZZZZD) | (subset @ ZZZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZZZF)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZE @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZZZD)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZF @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZZZD)) | (in @ (kpair @ (sk68 @ ZZZZZZZZZZZZZZZZZZZZZF @ ZZZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZZZZZC) @ (sk69 @ ZZZZZZZZZZZZZZZZZZZZZF @ ZZZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZZZZZC)) @ ZZZZZZZZZZZZZZZZZZZZZE) | (subset @ ZZZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZZZF)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZE @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZZZD)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZF @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZZZD)) | ~ (in @ (kpair @ (sk68 @ ZZZZZZZZZZZZZZZZZZZZZF @ ZZZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZZZZZC) @ (sk69 @ ZZZZZZZZZZZZZZZZZZZZZF @ ZZZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZZZZZC)) @ ZZZZZZZZZZZZZZZZZZZZZF) | (subset @ ZZZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZZZF)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | (in @ (sk70 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZG) | (in @ (sk72 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZG) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | (in @ (sk70 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZG) | (in @ (sk73 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZH) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | (in @ (sk70 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZG) | (in @ (kpair @ (sk72 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk73 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZJ) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | (in @ (sk70 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZG) | ~ (in @ (kpair @ (sk72 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk73 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZI) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | (in @ (sk71 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZH) | (in @ (sk72 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZG) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | (in @ (sk71 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZH) | (in @ (sk73 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZH) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | (in @ (sk71 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZH) | (in @ (kpair @ (sk72 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk73 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZJ) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | (in @ (sk71 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZH) | ~ (in @ (kpair @ (sk72 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk73 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZI) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | (in @ (kpair @ (sk70 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk71 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZI) | (in @ (sk72 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZG) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | (in @ (kpair @ (sk70 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk71 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZI) | (in @ (sk73 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZH) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | (in @ (kpair @ (sk70 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk71 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZI) | (in @ (kpair @ (sk72 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk73 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZJ) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | (in @ (kpair @ (sk70 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk71 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZI) | ~ (in @ (kpair @ (sk72 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk73 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZI) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (in @ (kpair @ (sk70 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk71 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZJ) | (in @ (sk72 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZG) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (in @ (kpair @ (sk70 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk71 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZJ) | (in @ (sk73 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ ZZZZZZZZZZZZZZZZZZZZZH) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (in @ (kpair @ (sk70 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk71 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZJ) | (in @ (kpair @ (sk72 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk73 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZJ) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (subset @ ZZZZZZZZZZZZZZZZZZZZZI @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (subset @ ZZZZZZZZZZZZZZZZZZZZZJ @ (cartprod @ ZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZH)) | ~ (in @ (kpair @ (sk70 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk71 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZJ) | ~ (in @ (kpair @ (sk72 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG) @ (sk73 @ ZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZG)) @ ZZZZZZZZZZZZZZZZZZZZZI) | (ZZZZZZZZZZZZZZZZZZZZZI = ZZZZZZZZZZZZZZZZZZZZZJ)) & (~ (func @ ZZZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZZZZM) | ~ (func @ ZZZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZZZZN) | (in @ (sk74 @ ZZZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZZZM @ ZZZZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZZZZK) @ ZZZZZZZZZZZZZZZZZZZZZK) | (ZZZZZZZZZZZZZZZZZZZZZM = ZZZZZZZZZZZZZZZZZZZZZN)) & (~ (func @ ZZZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZZZZM) | ~ (func @ ZZZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZZZZN) | ~ ((ap @ ZZZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZZZZM @ (sk74 @ ZZZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZZZM @ ZZZZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZZZZK)) = (ap @ ZZZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZZZZN @ (sk74 @ ZZZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZZZM @ ZZZZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZZZZK))) | (ZZZZZZZZZZZZZZZZZZZZZM = ZZZZZZZZZZZZZZZZZZZZZN)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZQ @ (funcSet @ ZZZZZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZZZZZP)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZR @ (funcSet @ ZZZZZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZZZZZP)) | (in @ (sk75 @ ZZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZZQ @ ZZZZZZZZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZZZZZZZZO) @ ZZZZZZZZZZZZZZZZZZZZZO) | (ZZZZZZZZZZZZZZZZZZZZZQ = ZZZZZZZZZZZZZZZZZZZZZR)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZQ @ (funcSet @ ZZZZZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZZZZZP)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZR @ (funcSet @ ZZZZZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZZZZZP)) | ~ ((ap @ ZZZZZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZZZZZZZZQ @ (sk75 @ ZZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZZQ @ ZZZZZZZZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZZZZZZZZO)) = (ap @ ZZZZZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZZZZZZZZR @ (sk75 @ ZZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZZQ @ ZZZZZZZZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZZZZZZZZO))) | (ZZZZZZZZZZZZZZZZZZZZZQ = ZZZZZZZZZZZZZZZZZZZZZR)) & ((in @ (sk76 @ (ZZZZZZZZZZZZZZZZZZZZZU) @ ZZZZZZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZZZZZZS) @ ZZZZZZZZZZZZZZZZZZZZZS) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZZZZS) | ((ap @ ZZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZZT @ (lam @ ZZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZZT @ (ZZZZZZZZZZZZZZZZZZZZZU)) @ ZZZZZZZZZZZZZZZZZZZZZV) = (ZZZZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZZZZV))) & (~ (in @ (ZZZZZZZZZZZZZZZZZZZZZU @ (sk76 @ (ZZZZZZZZZZZZZZZZZZZZZU) @ ZZZZZZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZZZZZZS)) @ ZZZZZZZZZZZZZZZZZZZZZT) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZZZZS) | ((ap @ ZZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZZT @ (lam @ ZZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZZT @ (ZZZZZZZZZZZZZZZZZZZZZU)) @ ZZZZZZZZZZZZZZZZZZZZZV) = (ZZZZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZZZZV))) & (~ (func @ ZZZZZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZZZZZZY) | ((lam @ ZZZZZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZZZZZX @ (ap @ ZZZZZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZZZZZX @ ZZZZZZZZZZZZZZZZZZZZZY)) = ZZZZZZZZZZZZZZZZZZZZZY)) & ((in @ (sk77 @ (ZZZZZZZZZZZZZZZZZZZZZZB) @ ZZZZZZZZZZZZZZZZZZZZZZA @ ZZZZZZZZZZZZZZZZZZZZZZ) @ ZZZZZZZZZZZZZZZZZZZZZZ) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZZZZ) | ((ap @ ZZZZZZZZZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZZZZZZZZZZA @ (lam @ ZZZZZZZZZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZZZZZZZZZZA @ (ZZZZZZZZZZZZZZZZZZZZZZB)) @ ZZZZZZZZZZZZZZZZZZZZZZC) = (ZZZZZZZZZZZZZZZZZZZZZZB @ ZZZZZZZZZZZZZZZZZZZZZZC))) & (~ (in @ (ZZZZZZZZZZZZZZZZZZZZZZB @ (sk77 @ (ZZZZZZZZZZZZZZZZZZZZZZB) @ ZZZZZZZZZZZZZZZZZZZZZZA @ ZZZZZZZZZZZZZZZZZZZZZZ)) @ ZZZZZZZZZZZZZZZZZZZZZZA) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZZZZ) | ((ap @ ZZZZZZZZZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZZZZZZZZZZA @ (lam @ ZZZZZZZZZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZZZZZZZZZZA @ (ZZZZZZZZZZZZZZZZZZZZZZB)) @ ZZZZZZZZZZZZZZZZZZZZZZC) = (ZZZZZZZZZZZZZZZZZZZZZZB @ ZZZZZZZZZZZZZZZZZZZZZZC))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZF @ (funcSet @ ZZZZZZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZZZZZZE)) | ((lam @ ZZZZZZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZZZZZZE @ (ap @ ZZZZZZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZZZZZZE @ ZZZZZZZZZZZZZZZZZZZZZZF)) = ZZZZZZZZZZZZZZZZZZZZZZF)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZZG) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZZG) | (ZZZZZZZZZZZZZZZZZZZZZZH) | (in @ ZZZZZZZZZZZZZZZZZZZZZZJ @ (dsetconstr @ ZZZZZZZZZZZZZZZZZZZZZZG @ (^ [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: (((ZZZZZZZZZZZZZZZZZZZZZZH) & (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZI)) | (~ (ZZZZZZZZZZZZZZZZZZZZZZH) & (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZJ))))))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZM @ ZZZZZZZZZZZZZZZZZZZZZZK) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZZZZK) | (ZZZZZZZZZZZZZZZZZZZZZZL) | ((dsetconstr @ ZZZZZZZZZZZZZZZZZZZZZZK @ (^ [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: (((ZZZZZZZZZZZZZZZZZZZZZZL) & (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZM)) | (~ (ZZZZZZZZZZZZZZZZZZZZZZL) & (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZN))))) = (setadjoin @ ZZZZZZZZZZZZZZZZZZZZZZN @ emptyset))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZQ @ ZZZZZZZZZZZZZZZZZZZZZZO) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZZZO) | ~ (ZZZZZZZZZZZZZZZZZZZZZZP) | (in @ ZZZZZZZZZZZZZZZZZZZZZZQ @ (dsetconstr @ ZZZZZZZZZZZZZZZZZZZZZZO @ (^ [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: (((ZZZZZZZZZZZZZZZZZZZZZZP) & (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZQ)) | (~ (ZZZZZZZZZZZZZZZZZZZZZZP) & (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZR))))))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZZZZZS) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZV @ ZZZZZZZZZZZZZZZZZZZZZZS) | ~ (ZZZZZZZZZZZZZZZZZZZZZZT) | ((dsetconstr @ ZZZZZZZZZZZZZZZZZZZZZZS @ (^ [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: (((ZZZZZZZZZZZZZZZZZZZZZZT) & (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZU)) | (~ (ZZZZZZZZZZZZZZZZZZZZZZT) & (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZV))))) = (setadjoin @ ZZZZZZZZZZZZZZZZZZZZZZU @ emptyset))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZY @ ZZZZZZZZZZZZZZZZZZZZZZW) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZ @ ZZZZZZZZZZZZZZZZZZZZZZW) | (singleton @ (dsetconstr @ ZZZZZZZZZZZZZZZZZZZZZZW @ (^ [ZZZZZZZZZZZZZZZZZZZZZZZZV:$i]: (((ZZZZZZZZZZZZZZZZZZZZZZX) & (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZY)) | (~ (ZZZZZZZZZZZZZZZZZZZZZZX) & (ZZZZZZZZZZZZZZZZZZZZZZZZV = ZZZZZZZZZZZZZZZZZZZZZZZ))))))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZZZZZA) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZZZZZZZA) | (in @ (if @ ZZZZZZZZZZZZZZZZZZZZZZZA @ ZZZZZZZZZZZZZZZZZZZZZZZB @ ZZZZZZZZZZZZZZZZZZZZZZZC @ ZZZZZZZZZZZZZZZZZZZZZZZD) @ ZZZZZZZZZZZZZZZZZZZZZZZA)) & (~ (singleton @ ZZZZZZZZZZZZZZZZZZZZZZZE) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZF @ ZZZZZZZZZZZZZZZZZZZZZZZE) | ((setunion @ ZZZZZZZZZZZZZZZZZZZZZZZE) = ZZZZZZZZZZZZZZZZZZZZZZZF)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZZZG) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZZZG) | ~ (ZZZZZZZZZZZZZZZZZZZZZZZH) | ((if @ ZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZI @ ZZZZZZZZZZZZZZZZZZZZZZZJ) = ZZZZZZZZZZZZZZZZZZZZZZZI)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZM @ ZZZZZZZZZZZZZZZZZZZZZZZK) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZZZZZK) | (ZZZZZZZZZZZZZZZZZZZZZZZL) | ((if @ ZZZZZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZZZZZL @ ZZZZZZZZZZZZZZZZZZZZZZZM @ ZZZZZZZZZZZZZZZZZZZZZZZN) = ZZZZZZZZZZZZZZZZZZZZZZZN)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZQ @ ZZZZZZZZZZZZZZZZZZZZZZZO) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZZZZO) | (in @ (if @ ZZZZZZZZZZZZZZZZZZZZZZZO @ ZZZZZZZZZZZZZZZZZZZZZZZP @ ZZZZZZZZZZZZZZZZZZZZZZZQ @ ZZZZZZZZZZZZZZZZZZZZZZZR) @ (setadjoin @ ZZZZZZZZZZZZZZZZZZZZZZZQ @ (setadjoin @ ZZZZZZZZZZZZZZZZZZZZZZZR @ emptyset)))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZT @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZS)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZU @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZS)) | (in @ (binintersect @ ZZZZZZZZZZZZZZZZZZZZZZZT @ ZZZZZZZZZZZZZZZZZZZZZZZU) @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZS))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZW @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZV)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZX @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZV)) | (in @ (binunion @ ZZZZZZZZZZZZZZZZZZZZZZZW @ ZZZZZZZZZZZZZZZZZZZZZZZX) @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZV))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZ @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZY)) | (in @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZ) @ (powerset @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZY)))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZB @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZA)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZC @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZA)) | (in @ (setminus @ ZZZZZZZZZZZZZZZZZZZZZZZZB @ ZZZZZZZZZZZZZZZZZZZZZZZZC) @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZA))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZE @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZD)) | (in @ (setminus @ ZZZZZZZZZZZZZZZZZZZZZZZZD @ ZZZZZZZZZZZZZZZZZZZZZZZZE) @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZD))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | (in @ (sk78 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZF) | (in @ (sk79 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZF) | (ZZZZZZZZZZZZZZZZZZZZZZZZG = ZZZZZZZZZZZZZZZZZZZZZZZZH)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | (in @ (sk78 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZF) | (in @ (sk79 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZH) | (ZZZZZZZZZZZZZZZZZZZZZZZZG = ZZZZZZZZZZZZZZZZZZZZZZZZH)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | (in @ (sk78 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZF) | ~ (in @ (sk79 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZG) | (ZZZZZZZZZZZZZZZZZZZZZZZZG = ZZZZZZZZZZZZZZZZZZZZZZZZH)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | (in @ (sk78 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZG) | (in @ (sk79 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZF) | (ZZZZZZZZZZZZZZZZZZZZZZZZG = ZZZZZZZZZZZZZZZZZZZZZZZZH)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | (in @ (sk78 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZG) | (in @ (sk79 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZH) | (ZZZZZZZZZZZZZZZZZZZZZZZZG = ZZZZZZZZZZZZZZZZZZZZZZZZH)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | (in @ (sk78 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZG) | ~ (in @ (sk79 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZG) | (ZZZZZZZZZZZZZZZZZZZZZZZZG = ZZZZZZZZZZZZZZZZZZZZZZZZH)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | ~ (in @ (sk78 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZH) | (in @ (sk79 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZF) | (ZZZZZZZZZZZZZZZZZZZZZZZZG = ZZZZZZZZZZZZZZZZZZZZZZZZH)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | ~ (in @ (sk78 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZH) | (in @ (sk79 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZH) | (ZZZZZZZZZZZZZZZZZZZZZZZZG = ZZZZZZZZZZZZZZZZZZZZZZZZH)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZF)) | ~ (in @ (sk78 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZH) | ~ (in @ (sk79 @ ZZZZZZZZZZZZZZZZZZZZZZZZH @ ZZZZZZZZZZZZZZZZZZZZZZZZG @ ZZZZZZZZZZZZZZZZZZZZZZZZF) @ ZZZZZZZZZZZZZZZZZZZZZZZZG) | (ZZZZZZZZZZZZZZZZZZZZZZZZG = ZZZZZZZZZZZZZZZZZZZZZZZZH)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZJ @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZI)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZK @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZI)) | (in @ (sk80 @ ZZZZZZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZZZZI) @ ZZZZZZZZZZZZZZZZZZZZZZZZI) | (subset @ ZZZZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZZZZK)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZJ @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZI)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZK @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZI)) | (in @ (sk80 @ ZZZZZZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZZZZI) @ ZZZZZZZZZZZZZZZZZZZZZZZZJ) | (subset @ ZZZZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZZZZK)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZJ @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZI)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZK @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZI)) | ~ (in @ (sk80 @ ZZZZZZZZZZZZZZZZZZZZZZZZK @ ZZZZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZZZZI) @ ZZZZZZZZZZZZZZZZZZZZZZZZK) | (subset @ ZZZZZZZZZZZZZZZZZZZZZZZZJ @ ZZZZZZZZZZZZZZZZZZZZZZZZK)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZM @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZL)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZN @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZL)) | (in @ (sk81 @ ZZZZZZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZZZZZZM @ ZZZZZZZZZZZZZZZZZZZZZZZZL) @ ZZZZZZZZZZZZZZZZZZZZZZZZL) | (in @ ZZZZZZZZZZZZZZZZZZZZZZZZM @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZN))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZM @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZL)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZN @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZL)) | (in @ (sk81 @ ZZZZZZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZZZZZZM @ ZZZZZZZZZZZZZZZZZZZZZZZZL) @ ZZZZZZZZZZZZZZZZZZZZZZZZM) | (in @ ZZZZZZZZZZZZZZZZZZZZZZZZM @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZN))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZM @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZL)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZN @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZL)) | ~ (in @ (sk81 @ ZZZZZZZZZZZZZZZZZZZZZZZZN @ ZZZZZZZZZZZZZZZZZZZZZZZZM @ ZZZZZZZZZZZZZZZZZZZZZZZZL) @ ZZZZZZZZZZZZZZZZZZZZZZZZN) | (in @ ZZZZZZZZZZZZZZZZZZZZZZZZM @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZN))) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZP @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZO)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZQ @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZO)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZZZZZO) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZP @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZQ)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZZZZZP) | (in @ ZZZZZZZZZZZZZZZZZZZZZZZZR @ ZZZZZZZZZZZZZZZZZZZZZZZZQ)) & (~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZT @ (powerset @ ZZZZZZZZZZZZZZZZZZZZZZZZS)) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZZZZZZZS) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZU @ ZZZZZZZZZZZZZZZZZZZZZZZZT) | ~ (in @ ZZZZZZZZZZZZZZZZZZZZZZZZU @ (setminus @ ZZZZZZZZZZZZZZZZZZZZZZZZS @ ZZZZZZZZZZZZZZZZZZZZZZZZT))) & (in @ sk83 @ (powerset @ sk82)) & (in @ sk84 @ sk82) & ~ (in @ sk84 @ (setminus @ sk82 @ sk83)) & ~ (in @ sk84 @ sk83)))),inference(cnf,[status(esa)],[4])). 218.48/115.36 thf(228,plain,(! [C:$i,B:$i,A:$i] : ((~ (in @ C @ A)) | (in @ C @ B) | (in @ C @ (setminus @ A @ B)))),inference(cnfConj,[status(thm)],[5])). 218.48/115.36 thf(469,plain,(! [C:$i,B:$i,A:$i] : ((~ (in @ C @ A)) | (in @ C @ B) | (in @ C @ (setminus @ A @ B)))),inference(simp,[status(thm)],[228])). 218.48/115.36 thf(60,plain,((~ (in @ sk84 @ (setminus @ sk82 @ sk83)))),inference(cnfConj,[status(thm)],[5])). 218.48/115.36 thf(97288,plain,(! [C:$i,B:$i,A:$i] : ((~ (in @ C @ A)) | (in @ C @ B) | ~ (($true)) | ((in @ C @ (setminus @ A @ B)) != (in @ sk84 @ (setminus @ sk82 @ sk83))))),inference(paramod_ordered,[status(thm)],[469,60])). 218.48/115.36 thf(97289,plain,(! [C:$i,B:$i,A:$i] : ((~ (in @ C @ A)) | (in @ C @ B) | ((in @ C @ (setminus @ A @ B)) != (in @ sk84 @ (setminus @ sk82 @ sk83))))),inference(simp,[status(thm)],[97288])). 218.48/115.36 thf(97290,plain,((~ (in @ sk84 @ sk82)) | (in @ sk84 @ sk83)),inference(pattern_uni,[status(thm)],[97289:[bind(A, $thf(sk82)),bind(B, $thf(sk83)),bind(C, $thf(sk84))]])). 218.48/115.36 thf(41,plain,((~ (in @ sk84 @ sk83))),inference(cnfConj,[status(thm)],[5])). 218.48/115.36 thf(126,plain,((in @ sk84 @ sk82)),inference(cnfConj,[status(thm)],[5])). 218.48/115.36 thf(117473,plain,(~ (($true)) | ($false)),inference(rewrite,[status(thm)],[97290,41,126])). 218.48/115.36 thf(117474,plain,(($false)),inference(simp,[status(thm)],[117473])). 218.48/115.36 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 218.48/115.36 % [INFO] Killing All external provers ... 0.24/115.56 EOF