0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n005.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Thu Jul 4 08:29:38 EDT 2024 0.13/0.34 % CPUTime : 0.22/0.49 Running higher-order theorem proving 0.39/0.56 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p 273.56/35.11 # Version: 3.2.0-ho 273.56/35.11 # Preprocessing class: HSLMSLSSLLLCHFA. 273.56/35.11 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 273.56/35.11 # Starting ehoh_best5 with 180s (1) cores 273.56/35.11 # Starting almost_fo_3_lam with 180s (1) cores 273.56/35.11 # Starting new_bool_5 with 180s (1) cores 273.56/35.11 # Starting pre_casc_3 with 180s (1) cores 273.56/35.11 # Starting ho_unfolding_8 with 180s (1) cores 273.56/35.11 # Starting new_ho_10_cnf2 with 180s (1) cores 273.56/35.11 # Starting new_bool_3 with 180s (1) cores 273.56/35.11 # Starting new_ho_5 with 180s (1) cores 273.56/35.11 # ehoh_best5 with pid 9137 completed with status 0 273.56/35.11 # Result found by ehoh_best5 273.56/35.11 # Preprocessing class: HSLMSLSSLLLCHFA. 273.56/35.11 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 273.56/35.11 # Starting ehoh_best5 with 180s (1) cores 273.56/35.11 # No SInE strategy applied 273.56/35.11 # Search class: HGHSM-FSLM32-MHFMMSBN 273.56/35.11 # Scheduled 10 strats onto 1 cores with 180 seconds (180 total) 273.56/35.11 # Starting ho_unfolding_8 with 33s (1) cores 273.56/35.11 # ho_unfolding_8 with pid 9186 completed with status 7 273.56/35.11 # Starting ehoh_best5 with 19s (1) cores 273.56/35.11 # ehoh_best5 with pid 10466 completed with status 0 273.56/35.11 # Result found by ehoh_best5 273.56/35.11 # Preprocessing class: HSLMSLSSLLLCHFA. 273.56/35.11 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 273.56/35.11 # Starting ehoh_best5 with 180s (1) cores 273.56/35.11 # No SInE strategy applied 273.56/35.11 # Search class: HGHSM-FSLM32-MHFMMSBN 273.56/35.11 # Scheduled 10 strats onto 1 cores with 180 seconds (180 total) 273.56/35.11 # Starting ho_unfolding_8 with 33s (1) cores 273.56/35.11 # ho_unfolding_8 with pid 9186 completed with status 7 273.56/35.11 # Starting ehoh_best5 with 19s (1) cores 273.56/35.11 # Preprocessing time : 0.007 s 273.56/35.11 # Presaturation interreduction done 273.56/35.11 273.56/35.11 # Proof found! 273.56/35.11 # SZS status Theorem 273.56/35.11 # SZS output start CNFRefutation 273.56/35.11 thf(decl_22, type, in: $i > $i > $o). 273.56/35.11 thf(decl_23, type, exu: ($i > $o) > $o). 273.56/35.11 thf(decl_24, type, setextAx: $o). 273.56/35.11 thf(decl_25, type, emptyset: $i). 273.56/35.11 thf(decl_26, type, emptysetAx: $o). 273.56/35.11 thf(decl_27, type, setadjoin: $i > $i > $i). 273.56/35.11 thf(decl_28, type, setadjoinAx: $o). 273.56/35.11 thf(decl_29, type, powerset: $i > $i). 273.56/35.11 thf(decl_30, type, powersetAx: $o). 273.56/35.11 thf(decl_31, type, setunion: $i > $i). 273.56/35.11 thf(decl_32, type, setunionAx: $o). 273.56/35.11 thf(decl_33, type, omega: $i). 273.56/35.11 thf(decl_34, type, omega0Ax: $o). 273.56/35.11 thf(decl_35, type, omegaSAx: $o). 273.56/35.11 thf(decl_36, type, omegaIndAx: $o). 273.56/35.11 thf(decl_37, type, replAx: $o). 273.56/35.11 thf(decl_38, type, foundationAx: $o). 273.56/35.11 thf(decl_39, type, wellorderingAx: $o). 273.56/35.11 thf(decl_40, type, descr: ($i > $o) > $i). 273.56/35.11 thf(decl_41, type, descrp: $o). 273.56/35.11 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 273.56/35.11 thf(decl_43, type, dsetconstrI: $o). 273.56/35.11 thf(decl_44, type, dsetconstrEL: $o). 273.56/35.11 thf(decl_45, type, dsetconstrER: $o). 273.56/35.11 thf(decl_46, type, exuE1: $o). 273.56/35.11 thf(decl_47, type, prop2set: $o > $i). 273.56/35.11 thf(decl_48, type, prop2setE: $o). 273.56/35.11 thf(decl_49, type, emptysetE: $o). 273.56/35.11 thf(decl_50, type, emptysetimpfalse: $o). 273.56/35.11 thf(decl_51, type, notinemptyset: $o). 273.56/35.11 thf(decl_52, type, exuE3e: $o). 273.56/35.11 thf(decl_53, type, setext: $o). 273.56/35.11 thf(decl_54, type, emptyI: $o). 273.56/35.11 thf(decl_55, type, noeltsimpempty: $o). 273.56/35.11 thf(decl_56, type, setbeta: $o). 273.56/35.11 thf(decl_57, type, nonempty: $i > $o). 273.56/35.11 thf(decl_58, type, nonemptyE1: $o). 273.56/35.11 thf(decl_59, type, nonemptyI: $o). 273.56/35.11 thf(decl_60, type, nonemptyI1: $o). 273.56/35.11 thf(decl_61, type, setadjoinIL: $o). 273.56/35.11 thf(decl_62, type, emptyinunitempty: $o). 273.56/35.11 thf(decl_63, type, setadjoinIR: $o). 273.56/35.11 thf(decl_64, type, setadjoinE: $o). 273.56/35.11 thf(decl_65, type, setadjoinOr: $o). 273.56/35.11 thf(decl_66, type, setoftrueEq: $o). 273.56/35.11 thf(decl_67, type, powersetI: $o). 273.56/35.11 thf(decl_68, type, emptyinPowerset: $o). 273.56/35.11 thf(decl_69, type, emptyInPowerset: $o). 273.56/35.11 thf(decl_70, type, powersetE: $o). 273.56/35.11 thf(decl_71, type, setunionI: $o). 273.56/35.11 thf(decl_72, type, setunionE: $o). 273.56/35.11 thf(decl_73, type, subPowSU: $o). 273.56/35.11 thf(decl_74, type, exuE2: $o). 273.56/35.11 thf(decl_75, type, nonemptyImpWitness: $o). 273.56/35.11 thf(decl_76, type, uniqinunit: $o). 273.56/35.11 thf(decl_77, type, notinsingleton: $o). 273.56/35.11 thf(decl_78, type, eqinunit: $o). 273.56/35.11 thf(decl_79, type, singletonsswitch: $o). 273.56/35.11 thf(decl_80, type, upairsetE: $o). 273.56/35.11 thf(decl_81, type, upairsetIL: $o). 273.56/35.11 thf(decl_82, type, upairsetIR: $o). 273.56/35.11 thf(decl_83, type, emptyE1: $o). 273.56/35.11 thf(decl_84, type, vacuousDall: $o). 273.56/35.11 thf(decl_85, type, quantDeMorgan1: $o). 273.56/35.11 thf(decl_86, type, quantDeMorgan2: $o). 273.56/35.11 thf(decl_87, type, quantDeMorgan3: $o). 273.56/35.11 thf(decl_88, type, quantDeMorgan4: $o). 273.56/35.11 thf(decl_89, type, prop2setI: $o). 273.56/35.11 thf(decl_90, type, set2prop: $i > $o). 273.56/35.11 thf(decl_91, type, prop2set2propI: $o). 273.56/35.11 thf(decl_92, type, notdexE: $o). 273.56/35.11 thf(decl_93, type, notdallE: $o). 273.56/35.11 thf(decl_94, type, exuI1: $o). 273.56/35.11 thf(decl_95, type, exuI3: $o). 273.56/35.11 thf(decl_96, type, exuI2: $o). 273.56/35.11 thf(decl_97, type, inCongP: $o). 273.56/35.11 thf(decl_98, type, in__Cong: $o). 273.56/35.11 thf(decl_99, type, exuE3u: $o). 273.56/35.11 thf(decl_100, type, exu__Cong: $o). 273.56/35.11 thf(decl_101, type, emptyset__Cong: $o). 273.56/35.11 thf(decl_102, type, setadjoin__Cong: $o). 273.56/35.11 thf(decl_103, type, powerset__Cong: $o). 273.56/35.11 thf(decl_104, type, setunion__Cong: $o). 273.56/35.11 thf(decl_105, type, omega__Cong: $o). 273.56/35.11 thf(decl_106, type, exuEu: $o). 273.56/35.11 thf(decl_107, type, descr__Cong: $o). 273.56/35.11 thf(decl_108, type, dsetconstr__Cong: $o). 273.56/35.11 thf(decl_109, type, subset: $i > $i > $o). 273.56/35.11 thf(decl_112, type, subsetI1: $o). 273.56/35.11 thf(decl_113, type, eqimpsubset2: $o). 273.56/35.11 thf(decl_114, type, eqimpsubset1: $o). 273.56/35.11 thf(decl_115, type, subsetI2: $o). 273.56/35.11 thf(decl_116, type, emptysetsubset: $o). 273.56/35.11 thf(decl_117, type, subsetE: $o). 273.56/35.11 thf(decl_118, type, subsetE2: $o). 273.56/35.11 thf(decl_119, type, notsubsetI: $o). 273.56/35.11 thf(decl_120, type, notequalI1: $o). 273.56/35.11 thf(decl_121, type, notequalI2: $o). 273.56/35.11 thf(decl_122, type, subsetRefl: $o). 273.56/35.11 thf(decl_123, type, subsetTrans: $o). 273.56/35.11 thf(decl_124, type, setadjoinSub: $o). 273.56/35.11 thf(decl_125, type, setadjoinSub2: $o). 273.56/35.11 thf(decl_126, type, subset2powerset: $o). 273.56/35.11 thf(decl_127, type, setextsub: $o). 273.56/35.11 thf(decl_128, type, subsetemptysetimpeq: $o). 273.56/35.11 thf(decl_129, type, powersetI1: $o). 273.56/35.11 thf(decl_130, type, powersetE1: $o). 273.56/35.11 thf(decl_131, type, inPowerset: $o). 273.56/35.11 thf(decl_132, type, powersetsubset: $o). 273.56/35.11 thf(decl_133, type, sepInPowerset: $o). 273.56/35.11 thf(decl_134, type, sepSubset: $o). 273.56/35.11 thf(decl_135, type, binunion: $i > $i > $i). 273.56/35.11 thf(decl_136, type, binunionIL: $o). 273.56/35.11 thf(decl_137, type, upairset2IR: $o). 273.56/35.11 thf(decl_138, type, binunionIR: $o). 273.56/35.11 thf(decl_139, type, binunionEcases: $o). 273.56/35.11 thf(decl_140, type, binunionE: $o). 273.56/35.11 thf(decl_141, type, binunionLsub: $o). 273.56/35.11 thf(decl_142, type, binunionRsub: $o). 273.56/35.11 thf(decl_143, type, binintersect: $i > $i > $i). 273.56/35.11 thf(decl_144, type, binintersectI: $o). 273.56/35.11 thf(decl_145, type, binintersectSubset5: $o). 273.56/35.11 thf(decl_146, type, binintersectEL: $o). 273.56/35.11 thf(decl_147, type, binintersectLsub: $o). 273.56/35.11 thf(decl_148, type, binintersectSubset2: $o). 273.56/35.11 thf(decl_149, type, binintersectSubset3: $o). 273.56/35.11 thf(decl_150, type, binintersectER: $o). 273.56/35.11 thf(decl_151, type, disjointsetsI1: $o). 273.56/35.11 thf(decl_152, type, binintersectRsub: $o). 273.56/35.11 thf(decl_153, type, binintersectSubset4: $o). 273.56/35.11 thf(decl_154, type, binintersectSubset1: $o). 273.56/35.11 thf(decl_155, type, bs114d: $o). 273.56/35.11 thf(decl_157, type, setminus: $i > $i > $i). 273.56/35.11 thf(decl_158, type, setminusI: $o). 273.56/35.11 thf(decl_159, type, setminusEL: $o). 273.56/35.11 thf(decl_160, type, setminusER: $o). 273.56/35.11 thf(decl_161, type, setminusSubset2: $o). 273.56/35.11 thf(decl_162, type, setminusERneg: $o). 273.56/35.11 thf(decl_163, type, setminusELneg: $o). 273.56/35.11 thf(decl_164, type, setminusILneg: $o). 273.56/35.11 thf(decl_165, type, setminusIRneg: $o). 273.56/35.11 thf(decl_166, type, setminusLsub: $o). 273.56/35.11 thf(decl_167, type, setminusSubset1: $o). 273.56/35.11 thf(decl_168, type, symdiff: $i > $i > $i). 273.56/35.11 thf(decl_169, type, symdiffE: $o). 273.56/35.11 thf(decl_170, type, symdiffI1: $o). 273.56/35.11 thf(decl_171, type, symdiffI2: $o). 273.56/35.11 thf(decl_172, type, symdiffIneg1: $o). 273.56/35.11 thf(decl_173, type, symdiffIneg2: $o). 273.56/35.11 thf(decl_174, type, iskpair: $i > $o). 273.56/35.11 thf(decl_175, type, secondinupair: $o). 273.56/35.11 thf(decl_176, type, setukpairIL: $o). 273.56/35.11 thf(decl_177, type, setukpairIR: $o). 273.56/35.11 thf(decl_178, type, kpairiskpair: $o). 273.56/35.11 thf(decl_179, type, kpair: $i > $i > $i). 273.56/35.11 thf(decl_180, type, kpairp: $o). 273.56/35.11 thf(decl_181, type, cartprod: $i > $i > $i). 273.56/35.11 thf(decl_182, type, singletonsubset: $o). 273.56/35.11 thf(decl_183, type, singletoninpowerset: $o). 273.56/35.11 thf(decl_184, type, singletoninpowunion: $o). 273.56/35.11 thf(decl_185, type, upairset2E: $o). 273.56/35.11 thf(decl_186, type, upairsubunion: $o). 273.56/35.11 thf(decl_187, type, upairinpowunion: $o). 273.56/35.11 thf(decl_188, type, ubforcartprodlem1: $o). 273.56/35.11 thf(decl_189, type, ubforcartprodlem2: $o). 273.56/35.11 thf(decl_190, type, ubforcartprodlem3: $o). 273.56/35.11 thf(decl_191, type, cartprodpairin: $o). 273.56/35.11 thf(decl_192, type, cartprodmempair1: $o). 273.56/35.11 thf(decl_193, type, cartprodmempair: $o). 273.56/35.11 thf(decl_194, type, setunionE2: $o). 273.56/35.11 thf(decl_195, type, setunionsingleton1: $o). 273.56/35.11 thf(decl_196, type, setunionsingleton2: $o). 273.56/35.11 thf(decl_197, type, setunionsingleton: $o). 273.56/35.11 thf(decl_198, type, singleton: $i > $o). 273.56/35.11 thf(decl_199, type, singletonprop: $o). 273.56/35.11 thf(decl_200, type, ex1: $i > ($i > $o) > $o). 273.56/35.11 thf(decl_201, type, ex1E1: $o). 273.56/35.11 thf(decl_202, type, ex1I: $o). 273.56/35.11 thf(decl_203, type, ex1I2: $o). 273.56/35.11 thf(decl_204, type, singletonsuniq: $o). 273.56/35.11 thf(decl_209, type, setukpairinjL1: $o). 273.56/35.11 thf(decl_210, type, kfstsingleton: $o). 273.56/35.11 thf(decl_211, type, theprop: $o). 273.56/35.11 thf(decl_212, type, kfst: $i > $i). 273.56/35.11 thf(decl_213, type, kfstpairEq: $o). 273.56/35.11 thf(decl_214, type, cartprodfstin: $o). 273.56/35.11 thf(decl_215, type, setukpairinjL2: $o). 273.56/35.11 thf(decl_216, type, setukpairinjL: $o). 273.56/35.11 thf(decl_217, type, setukpairinjR11: $o). 273.56/35.11 thf(decl_218, type, setukpairinjR12: $o). 273.56/35.11 thf(decl_219, type, setukpairinjR1: $o). 273.56/35.11 thf(decl_220, type, upairequniteq: $o). 273.56/35.11 thf(decl_221, type, setukpairinjR2: $o). 273.56/35.11 thf(decl_222, type, setukpairinjR: $o). 273.56/35.11 thf(decl_223, type, ksndsingleton: $o). 273.56/35.11 thf(decl_224, type, ksnd: $i > $i). 273.56/35.11 thf(decl_225, type, ksndpairEq: $o). 273.56/35.11 thf(decl_226, type, kpairsurjEq: $o). 273.56/35.11 thf(decl_227, type, cartprodsndin: $o). 273.56/35.11 thf(decl_228, type, cartprodpairmemEL: $o). 273.56/35.11 thf(decl_229, type, cartprodpairmemER: $o). 273.56/35.11 thf(decl_230, type, cartprodmempaircEq: $o). 273.56/35.11 thf(decl_231, type, cartprodfstpairEq: $o). 273.56/35.11 thf(decl_232, type, cartprodsndpairEq: $o). 273.56/35.11 thf(decl_233, type, cartprodpairsurjEq: $o). 273.56/35.11 thf(decl_234, type, breln: $i > $i > $i > $o). 273.56/35.11 thf(decl_235, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 273.56/35.11 thf(decl_236, type, dpsetconstrI: $o). 273.56/35.11 thf(decl_237, type, dpsetconstrSub: $o). 273.56/35.11 thf(decl_238, type, setOfPairsIsBReln: $o). 273.56/35.11 thf(decl_239, type, dpsetconstrERa: $o). 273.56/35.11 thf(decl_240, type, dpsetconstrEL1: $o). 273.56/35.11 thf(decl_241, type, dpsetconstrEL2: $o). 273.56/35.11 thf(decl_242, type, dpsetconstrER: $o). 273.56/35.11 thf(decl_243, type, func: $i > $i > $i > $o). 273.56/35.11 thf(decl_244, type, funcSet: $i > $i > $i). 273.56/35.11 thf(decl_245, type, funcImageSingleton: $o). 273.56/35.11 thf(decl_246, type, apProp: $o). 273.56/35.11 thf(decl_247, type, ap: $i > $i > $i > $i > $i). 273.56/35.11 thf(decl_248, type, app: $o). 273.56/35.11 thf(decl_249, type, infuncsetfunc: $o). 273.56/35.11 thf(decl_250, type, ap2p: $o). 273.56/35.11 thf(decl_251, type, funcinfuncset: $o). 273.56/35.11 thf(decl_252, type, lamProp: $o). 273.56/35.11 thf(decl_253, type, lam: $i > $i > ($i > $i) > $i). 273.56/35.11 thf(decl_254, type, lamp: $o). 273.56/35.11 thf(decl_255, type, lam2p: $o). 273.56/35.11 thf(decl_256, type, brelnall1: $o). 273.56/35.11 thf(decl_257, type, brelnall2: $o). 273.56/35.11 thf(decl_258, type, ex1E2: $o). 273.56/35.11 thf(decl_259, type, funcGraphProp1: $o). 273.56/35.11 thf(decl_260, type, funcGraphProp3: $o). 273.56/35.11 thf(decl_261, type, funcGraphProp2: $o). 273.56/35.11 thf(decl_262, type, funcextLem: $o). 273.56/35.11 thf(decl_263, type, funcGraphProp4: $o). 273.56/35.11 thf(decl_264, type, subbreln: $o). 273.56/35.11 thf(decl_265, type, eqbreln: $o). 273.56/35.11 thf(decl_266, type, funcext: $o). 273.56/35.11 thf(decl_267, type, funcext2: $o). 273.56/35.11 thf(decl_268, type, ap2apEq1: $o). 273.56/35.11 thf(decl_269, type, ap2apEq2: $o). 273.56/35.11 thf(decl_270, type, beta1: $o). 273.56/35.11 thf(decl_271, type, eta1: $o). 273.56/35.11 thf(decl_272, type, lam2lamEq: $o). 273.56/35.11 thf(decl_273, type, beta2: $o). 273.56/35.11 thf(decl_274, type, eta2: $o). 273.56/35.11 thf(decl_275, type, iffalseProp1: $o). 273.56/35.11 thf(decl_276, type, iffalseProp2: $o). 273.56/35.11 thf(decl_277, type, iftrueProp1: $o). 273.56/35.11 thf(decl_278, type, iftrueProp2: $o). 273.56/35.11 thf(decl_279, type, ifSingleton: $o). 273.56/35.11 thf(decl_280, type, if: $i > $o > $i > $i > $i). 273.56/35.11 thf(decl_281, type, ifp: $o). 273.56/35.11 thf(decl_282, type, theeq: $o). 273.56/35.11 thf(decl_283, type, iftrue: $o). 273.56/35.11 thf(decl_284, type, iffalse: $o). 273.56/35.11 thf(decl_285, type, iftrueorfalse: $o). 273.56/35.11 thf(decl_286, type, binintersectT_lem: $o). 273.56/35.11 thf(decl_287, type, binunionT_lem: $o). 273.56/35.11 thf(decl_288, type, powersetT_lem: $o). 273.56/35.11 thf(decl_289, type, setminusT_lem: $o). 273.56/35.11 thf(decl_290, type, complementT_lem: $o). 273.56/35.11 thf(decl_291, type, setextT: $o). 273.56/35.11 thf(decl_292, type, subsetTI: $o). 273.56/35.11 thf(decl_293, type, powersetTI1: $o). 273.56/35.11 thf(decl_294, type, powersetTE1: $o). 273.56/35.11 thf(decl_295, type, complementTI1: $o). 273.56/35.11 thf(decl_296, type, complementTE1: $o). 273.56/35.11 thf(decl_297, type, binintersectTELcontra: $o). 273.56/35.11 thf(decl_298, type, binintersectTERcontra: $o). 273.56/35.11 thf(decl_299, type, contrasubsetT: $o). 273.56/35.11 thf(decl_300, type, contrasubsetT1: $o). 273.56/35.11 thf(decl_301, type, contrasubsetT2: $o). 273.56/35.11 thf(decl_302, type, contrasubsetT3: $o). 273.56/35.11 thf(decl_303, type, doubleComplementI1: $o). 273.56/35.11 thf(decl_304, type, doubleComplementE1: $o). 273.56/35.11 thf(decl_305, type, doubleComplementSub1: $o). 273.56/35.11 thf(decl_306, type, doubleComplementSub2: $o). 273.56/35.11 thf(decl_307, type, doubleComplementEq: $o). 273.56/35.11 thf(decl_308, type, complementTnotintersectT: $o). 273.56/35.11 thf(decl_309, type, complementImpComplementIntersect: $o). 273.56/35.11 thf(decl_310, type, complementSubsetComplementIntersect: $o). 273.56/35.11 thf(decl_311, type, complementInPowersetComplementIntersect: $o). 273.56/35.11 thf(decl_312, type, contraSubsetComplement: $o). 273.56/35.11 thf(decl_313, type, complementTcontraSubset: $o). 273.56/35.11 thf(decl_314, type, binunionTILcontra: $o). 273.56/35.11 thf(decl_315, type, binunionTIRcontra: $o). 273.56/35.11 thf(decl_316, type, inIntersectImpInUnion: $o). 273.56/35.11 thf(decl_317, type, inIntersectImpInUnion2: $o). 273.56/35.11 thf(decl_318, type, inIntersectImpInIntersectUnions: $o). 273.56/35.11 thf(decl_319, type, intersectInPowersetIntersectUnions: $o). 273.56/35.11 thf(decl_320, type, inComplementUnionImpNotIn1: $o). 273.56/35.11 thf(decl_321, type, inComplementUnionImpInComplement1: $o). 273.56/35.11 thf(decl_322, type, binunionTE: $o). 273.56/35.11 thf(decl_323, type, binunionTEcontra: $o). 273.56/35.11 thf(decl_324, type, demorgan2a1: $o). 273.56/35.11 thf(decl_325, type, complementUnionInPowersetComplement: $o). 273.56/35.11 thf(decl_326, type, demorgan2a2: $o). 273.56/35.11 thf(decl_327, type, demorgan1a: $o). 273.56/35.11 thf(decl_328, type, demorgan1b: $o). 273.56/35.11 thf(decl_329, type, demorgan1: $o). 273.56/35.11 thf(decl_330, type, demorgan2a: $o). 273.56/35.11 thf(decl_331, type, demorgan2b2: $o). 273.56/35.11 thf(decl_332, type, demorgan2b: $o). 273.56/35.11 thf(decl_333, type, demorgan2: $o). 273.56/35.11 thf(decl_334, type, woz13rule0: $o). 273.56/35.11 thf(decl_335, type, woz13rule1: $o). 273.56/35.11 thf(decl_336, type, woz13rule2: $o). 273.56/35.11 thf(decl_337, type, woz13rule3: $o). 273.56/35.11 thf(decl_338, type, woz13rule4: $o). 273.56/35.11 thf(decl_339, type, woz1_1: $o). 273.56/35.11 thf(decl_340, type, woz1_2: $o). 273.56/35.11 thf(decl_341, type, woz1_3: $o). 273.56/35.11 thf(decl_342, type, woz1_4: $o). 273.56/35.11 thf(decl_343, type, woz1_5: $o). 273.56/35.11 thf(decl_344, type, breln1: $i > $i > $o). 273.56/35.11 thf(decl_345, type, breln1all2: $o). 273.56/35.11 thf(decl_346, type, breln1Set: $i > $i). 273.56/35.11 thf(decl_347, type, breln1SetBreln1: $o). 273.56/35.11 thf(decl_353, type, reflwellordering: $i > $i > $o). 273.56/35.11 thf(decl_354, type, choice2fnsingleton: $o). 273.56/35.11 thf(decl_355, type, setOfPairsIsBReln1: $o). 273.56/35.11 thf(decl_356, type, breln1all1: $o). 273.56/35.11 thf(decl_357, type, subbreln1: $o). 273.56/35.11 thf(decl_358, type, eqbreln1: $o). 273.56/35.11 thf(decl_359, type, breln1invset: $i > $i > $i). 273.56/35.11 thf(decl_360, type, breln1invprop: $o). 273.56/35.11 thf(decl_361, type, breln1invI: $o). 273.56/35.11 thf(decl_362, type, breln1invE: $o). 273.56/35.11 thf(decl_363, type, breln1compset: $i > $i > $i > $i). 273.56/35.11 thf(decl_364, type, breln1compprop: $o). 273.56/35.11 thf(decl_365, type, breln1compI: $o). 273.56/35.11 thf(decl_366, type, breln1compE: $o). 273.56/35.11 thf(decl_367, type, epred1_0: $o). 273.56/35.11 thf(decl_368, type, esk1_2: $i > $i > $i). 273.56/35.11 thf(decl_369, type, esk2_2: $i > $i > $i). 273.56/35.11 thf(decl_370, type, esk3_2: $i > $i > $i). 273.56/35.11 thf(decl_371, type, esk4_1: $i > $i). 273.56/35.11 thf(decl_372, type, esk5_2: ($i > $i > $o) > $i > $i). 273.56/35.11 thf(decl_373, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 273.56/35.11 thf(decl_374, type, esk7_2: ($i > $i > $o) > $i > $i). 273.56/35.11 thf(decl_375, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 273.56/35.11 thf(decl_376, type, esk9_1: $i > $i). 273.56/35.11 thf(decl_377, type, esk10_2: ($i > $o) > $i > $i). 273.56/35.11 thf(decl_378, type, esk11_2: ($i > $o) > $i > $i). 273.56/35.11 thf(decl_379, type, esk12_1: ($i > $o) > $i). 273.56/35.11 thf(decl_380, type, esk13_2: ($i > $o) > $i > $i). 273.56/35.11 thf(decl_381, type, esk14_1: ($i > $o) > $i). 273.56/35.11 thf(decl_382, type, esk15_2: $i > $i > $i). 273.56/35.11 thf(decl_383, type, esk16_2: $i > $i > $i). 273.56/35.11 thf(decl_384, type, esk17_1: $i > $i). 273.56/35.11 thf(decl_385, type, esk18_1: $i > $i). 273.56/35.11 thf(decl_386, type, esk19_1: $i > $i). 273.56/35.11 thf(decl_387, type, esk20_2: $i > $i > $i). 273.56/35.11 thf(decl_388, type, esk21_3: $i > $i > $o > $i). 273.56/35.11 thf(decl_389, type, esk22_2: ($i > $o) > $i > $i). 273.56/35.11 thf(decl_390, type, esk23_1: ($i > $o) > $i). 273.56/35.11 thf(decl_391, type, esk24_1: $i > $i). 273.56/35.11 thf(decl_392, type, esk25_2: $i > ($i > $o) > $i). 273.56/35.11 thf(decl_393, type, esk26_2: $i > ($i > $o) > $i). 273.56/35.11 thf(decl_394, type, esk27_2: $i > ($i > $o) > $i). 273.56/35.11 thf(decl_395, type, esk28_2: $i > ($i > $o) > $i). 273.56/35.11 thf(decl_396, type, esk29_2: $i > ($i > $o) > $i). 273.56/35.11 thf(decl_397, type, esk30_2: $i > ($i > $o) > $i). 273.56/35.11 thf(decl_398, type, esk31_2: ($i > $o) > $i > $i). 273.56/35.11 thf(decl_399, type, esk32_1: ($i > $o) > $i). 273.56/35.11 thf(decl_400, type, esk33_1: ($i > $o) > $i). 273.56/35.11 thf(decl_401, type, esk34_1: ($i > $o) > $i). 273.56/35.11 thf(decl_402, type, esk35_1: ($i > $o) > $i). 273.56/35.11 thf(decl_403, type, esk36_2: ($i > $o) > $i > $i). 273.56/35.11 thf(decl_404, type, esk37_1: ($i > $o) > $i). 273.56/35.11 thf(decl_405, type, esk38_2: ($i > $o) > $i > $i). 273.56/35.11 thf(decl_406, type, esk39_2: ($i > $o) > ($i > $o) > $i). 273.56/35.11 thf(decl_407, type, esk40_2: ($i > $o) > ($i > $o) > $i). 273.56/35.11 thf(decl_408, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 273.56/35.11 thf(decl_409, type, esk42_2: ($i > $o) > ($i > $o) > $i). 273.56/35.11 thf(decl_410, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 273.56/35.11 thf(decl_411, type, esk44_2: ($i > $o) > ($i > $o) > $i). 273.56/35.11 thf(decl_412, type, esk45_2: ($i > $o) > $i > $i). 273.56/35.11 thf(decl_413, type, esk46_2: ($i > $o) > ($i > $o) > $i). 273.56/35.11 thf(decl_414, type, esk47_2: ($i > $o) > ($i > $o) > $i). 273.56/35.11 thf(decl_415, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 273.56/35.11 thf(decl_416, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 273.56/35.11 thf(decl_417, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 273.56/35.11 thf(decl_418, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 273.56/35.12 thf(decl_419, type, esk52_2: $i > $i > $i). 273.56/35.12 thf(decl_420, type, esk53_2: $i > $i > $i). 273.56/35.12 thf(decl_421, type, esk54_2: $i > $i > $i). 273.56/35.12 thf(decl_422, type, esk55_3: $i > $i > $i > $i). 273.56/35.12 thf(decl_423, type, esk56_3: $i > $i > $i > $i). 273.56/35.12 thf(decl_424, type, esk57_2: $i > $i > $i). 273.56/35.12 thf(decl_425, type, esk58_2: $i > ($i > $o) > $i). 273.56/35.12 thf(decl_426, type, esk59_2: $i > ($i > $o) > $i). 273.56/35.12 thf(decl_427, type, esk60_2: $i > ($i > $o) > $i). 273.56/35.12 thf(decl_428, type, esk61_3: $i > ($i > $o) > $i > $i). 273.56/35.12 thf(decl_429, type, esk62_2: $i > ($i > $o) > $i). 273.56/35.12 thf(decl_430, type, esk63_2: $i > ($i > $o) > $i). 273.56/35.12 thf(decl_431, type, esk64_3: $i > $i > ($i > $i) > $i). 273.56/35.12 thf(decl_432, type, esk65_3: $i > $i > ($i > $i) > $i). 273.56/35.12 thf(decl_433, type, esk66_3: $i > $i > ($i > $i) > $i). 273.56/35.12 thf(decl_434, type, esk67_4: $i > $i > $i > ($i > $o) > $i). 273.56/35.12 thf(decl_435, type, esk68_4: $i > $i > $i > ($i > $o) > $i). 273.56/35.12 thf(decl_436, type, esk69_4: $i > $i > $i > ($i > $o) > $i). 273.56/35.12 thf(decl_437, type, esk70_4: $i > $i > $i > ($i > $o) > $i). 273.56/35.12 thf(decl_438, type, esk71_4: $i > $i > $i > $i > $i). 273.56/35.12 thf(decl_439, type, esk72_4: $i > $i > $i > $i > $i). 273.56/35.12 thf(decl_440, type, esk73_4: $i > $i > $i > $i > $i). 273.56/35.12 thf(decl_441, type, esk74_4: $i > $i > $i > $i > $i). 273.56/35.12 thf(decl_442, type, esk75_4: $i > $i > $i > $i > $i). 273.56/35.12 thf(decl_443, type, esk76_4: $i > $i > $i > $i > $i). 273.56/35.12 thf(decl_444, type, esk77_4: $i > $i > $i > $i > $i). 273.56/35.12 thf(decl_445, type, esk78_4: $i > $i > $i > $i > $i). 273.56/35.12 thf(decl_446, type, esk79_4: $i > $i > $i > $i > $i). 273.56/35.12 thf(decl_447, type, esk80_3: $i > $i > ($i > $i) > $i). 273.56/35.12 thf(decl_448, type, esk81_3: $i > $i > ($i > $i) > $i). 273.56/35.12 thf(decl_449, type, esk82_3: $i > $i > ($i > $i) > $i). 273.56/35.12 thf(decl_450, type, esk83_3: $i > $i > $i > $i). 273.56/35.12 thf(decl_451, type, esk84_3: $i > $i > $i > $i). 273.56/35.12 thf(decl_452, type, esk85_3: $i > $i > $i > $i). 273.56/35.12 thf(decl_453, type, esk86_3: $i > $i > $i > $i). 273.56/35.12 thf(decl_454, type, esk87_3: $i > $i > ($i > $o) > $i). 273.56/35.12 thf(decl_455, type, esk88_3: $i > $i > ($i > $o) > $i). 273.56/35.12 thf(decl_456, type, esk89_3: $i > $i > ($i > $i > $o) > $i). 273.56/35.12 thf(decl_457, type, esk90_3: $i > $i > ($i > $o) > $i). 273.56/35.12 thf(decl_458, type, esk91_3: $i > $i > ($i > $o) > $i). 273.56/35.12 thf(decl_459, type, esk92_3: $i > $i > $i > $i). 273.56/35.12 thf(decl_460, type, esk93_3: $i > $i > $i > $i). 273.56/35.12 thf(decl_461, type, esk94_3: $i > $i > $i > $i). 273.56/35.12 thf(decl_462, type, esk95_3: $i > $i > $i > $i). 273.56/35.12 thf(decl_463, type, esk96_3: $i > $i > $i > $i). 273.56/35.12 thf(decl_464, type, esk97_3: $i > $i > $i > $i). 273.56/35.12 thf(decl_465, type, esk98_5: $i > $i > $i > $i > $i > $i). 273.56/35.12 thf(decl_466, type, esk99_0: $i). 273.56/35.12 thf(decl_467, type, esk100_0: $i). 273.56/35.12 thf(decl_468, type, esk101_0: $i). 273.56/35.12 thf(decl_469, type, esk102_0: $i). 273.56/35.12 thf(decl_470, type, esk103_0: $i). 273.56/35.12 thf(decl_471, type, epred2_0: $o). 273.56/35.12 thf(decl_481, type, epred7_2: $i > $i > $i > $o). 273.56/35.12 thf(breln1, axiom, ((breln1)=(^[X4:$i, X33:$i]:((breln @ X4 @ X4 @ X33)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', breln1)). 273.56/35.12 thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', breln)). 273.56/35.12 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', replAx)). 273.56/35.12 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', exu)). 273.56/35.12 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', descrp)). 273.56/35.12 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', exuE1)). 273.56/35.12 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', exuE3e)). 273.56/35.12 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', nonempty)). 273.56/35.12 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', nonemptyI)). 273.56/35.12 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', exuE2)). 273.56/35.12 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', exuI1)). 273.56/35.12 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', exuI3)). 273.56/35.12 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', exuI2)). 273.56/35.12 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', exuE3u)). 273.56/35.12 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', exu__Cong)). 273.56/35.12 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', exuEu)). 273.56/35.12 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', descr__Cong)). 273.56/35.12 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setOfPairsIsBReln)). 273.56/35.12 thf(setOfPairsIsBReln1, axiom, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[X2:$i, X3:$i]:((X53 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setOfPairsIsBReln1)). 273.56/35.12 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', dsetconstrI)). 273.56/35.12 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', dsetconstrEL)). 273.56/35.12 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', dsetconstrER)). 273.56/35.12 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setbeta)). 273.56/35.12 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', nonemptyE1)). 273.56/35.12 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', nonemptyI1)). 273.56/35.12 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setoftrueEq)). 273.56/35.12 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', nonemptyImpWitness)). 273.56/35.12 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', emptyE1)). 273.56/35.12 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', dsetconstr__Cong)). 273.56/35.12 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', sepInPowerset)). 273.56/35.12 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', sepSubset)). 273.56/35.12 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', singletonprop)). 273.56/35.12 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ex1E1)). 273.56/35.12 thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ex1I)). 273.56/35.12 thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ex1I2)). 273.56/35.12 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', kfstsingleton)). 273.56/35.12 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ksndsingleton)). 273.56/35.12 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', dpsetconstrI)). 273.56/35.12 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', dpsetconstrSub)). 273.56/35.12 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', dpsetconstrERa)). 273.56/35.12 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', dpsetconstrEL1)). 273.56/35.12 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', dpsetconstrEL2)). 273.56/35.12 thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', dpsetconstrER)). 273.56/35.12 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', funcImageSingleton)). 273.56/35.12 thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', apProp)). 273.56/35.12 thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', lamProp)). 273.56/35.12 thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', lamp)). 273.56/35.12 thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', lam2p)). 273.56/35.12 thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', brelnall1)). 273.56/35.12 thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', brelnall2)). 273.56/35.12 thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ex1E2)). 273.56/35.12 thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', subbreln)). 273.56/35.12 thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', eqbreln)). 273.56/35.12 thf(beta1, axiom, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X36 @ X3))) @ X2)=(X36 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', beta1)). 273.56/35.12 thf(eta1, axiom, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', eta1)). 273.56/35.12 thf(lam2lamEq, axiom, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2)))=(lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', lam2lamEq)). 273.56/35.12 thf(beta2, axiom, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X38 @ X3))) @ X2)=(X38 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', beta2)). 273.56/35.12 thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', eta2)). 273.56/35.12 thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X39)&((X14)=(X2)))|(~((X39))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', iffalseProp1)). 273.56/35.12 thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((X40)&((X14)=(X2)))|(~((X40))&((X14)=(X3)))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', iffalseProp2)). 273.56/35.12 thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X41)&((X14)=(X2)))|(~((X41))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', iftrueProp1)). 273.56/35.12 thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((X42)&((X14)=(X2)))|(~((X42))&((X14)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', iftrueProp2)). 273.56/35.12 thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((X43)&((X14)=(X2)))|(~((X43))&((X14)=(X3))))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ifSingleton)). 273.56/35.12 thf(breln1all2, axiom, ((breln1all2)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', breln1all2)). 273.56/35.12 thf(breln1SetBreln1, axiom, ((breln1SetBreln1)<=>![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>(breln1 @ X4 @ X33)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', breln1SetBreln1)). 273.56/35.12 thf(choice2fnsingleton, axiom, ((choice2fnsingleton)<=>![X4:$i, X5:$i, X52:$i > $i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>?[X3:$i]:(((in @ X3 @ X5)&(X52 @ X2 @ X3)))))=>![X33:$i]:(((in @ X33 @ (breln1Set @ X5))=>((reflwellordering @ X5 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:(((X52 @ X2 @ X3)&![X14:$i]:(((in @ X14 @ X5)=>((X52 @ X2 @ X14)=>(in @ (kpair @ X3 @ X14) @ X33))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', choice2fnsingleton)). 273.56/35.12 thf(breln1all1, axiom, ((breln1all1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', breln1all1)). 273.56/35.12 thf(subbreln1, axiom, ((subbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', subbreln1)). 273.56/35.12 thf(eqbreln1, axiom, ((eqbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', eqbreln1)). 273.56/35.12 thf(breln1invprop, axiom, ((breln1invprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>(breln1 @ X4 @ (breln1invset @ X4 @ X33))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', breln1invprop)). 273.56/35.12 thf(breln1invI, axiom, ((breln1invI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33)))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', breln1invI)). 273.56/35.12 thf(breln1invE, axiom, ((breln1invE)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33))=>(in @ (kpair @ X2 @ X3) @ X33))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', breln1invE)). 273.56/35.12 thf(breln1compprop, axiom, ((breln1compprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(breln1 @ X4 @ (breln1compset @ X4 @ X33 @ X35))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', breln1compprop)). 273.56/35.12 thf(breln1compI, axiom, ((breln1compI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>![X14:$i]:(((in @ X14 @ X4)=>((in @ (kpair @ X2 @ X14) @ X33)=>((in @ (kpair @ X14 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', breln1compI)). 273.56/35.12 thf(breln1compE, axiom, ((breln1compE)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))=>?[X14:$i]:((((in @ X14 @ X4)&(in @ (kpair @ X2 @ X14) @ X33))&(in @ (kpair @ X14 @ X3) @ X35))))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', breln1compE)). 273.56/35.12 thf(breln1compEex, conjecture, ((((((setunionAx)=>((((omegaIndAx)=>((((wellorderingAx)=>((descrp)=>(((dsetconstrEL)=>(((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((((((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>(((((exuE2)=>((nonemptyImpWitness)=>(((notinsingleton)=>(((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((((((((quantDeMorgan4)=>((((notdexE)=>(((exuI1)=>(((exuI2)=>((((exuE3u)=>((exu__Cong)=>(((setadjoin__Cong)=>(((setunion__Cong)=>((omega__Cong)=>((((dsetconstr__Cong)=>((subsetI1)=>((((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((((subsetTrans)=>((setadjoinSub)=>((((((powersetI1)=>((powersetE1)=>(((((((upairset2IR)=>((binunionIR)=>(((binunionE)=>(((((binintersectSubset5)=>(((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((((binintersectSubset4)=>(((bs114d)=>((setminusI)=>(((setminusER)=>(((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>(((setminusLsub)=>((setminusSubset1)=>(((((symdiffIneg1)=>(((secondinupair)=>((setukpairIL)=>(((kpairiskpair)=>(((singletonsubset)=>(((singletoninpowunion)=>((((((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>(((setunionE2)=>((setunionsingleton1)=>((((singletonprop)=>((ex1E1)=>((((((kfstsingleton)=>((((cartprodfstin)=>((((((setukpairinjR1)=>(((setukpairinjR2)=>((((ksndpairEq)=>((((cartprodpairmemEL)=>(((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>(((dpsetconstrI)=>(((setOfPairsIsBReln)=>((((dpsetconstrEL2)=>((((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>(((lamProp)=>(((lam2p)=>(((((((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((((((ap2apEq1)=>(((((lam2lamEq)=>((beta2)=>((eta2)=>(((iffalseProp2)=>((((ifSingleton)=>(((theeq)=>((((iftrueorfalse)=>(((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((((((((complementTE1)=>(((binintersectTERcontra)=>((contrasubsetT)=>((((((doubleComplementE1)=>((doubleComplementSub1)=>(((doubleComplementEq)=>((complementTnotintersectT)=>((complementImpComplementIntersect)=>((((contraSubsetComplement)=>((((binunionTIRcontra)=>((inIntersectImpInUnion)=>(((((((binunionTE)=>((((complementUnionInPowersetComplement)=>(((demorgan1a)=>(((((demorgan2b2)=>((demorgan2b)=>(((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>(((woz13rule4)=>(((woz1_2)=>((woz1_3)=>(((((breln1SetBreln1)=>((((breln1all1)=>((subbreln1)=>((((breln1invI)=>((breln1invE)=>((breln1compprop)=>(((breln1compE)=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:((![X2:$i]:((![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))=>![X54:$o]:((![X14:$i]:(((in @ X14 @ X4)=>(((X54)<=(in @ (kpair @ X14 @ X3) @ X35))<=(in @ (kpair @ X2 @ X14) @ X33))))=>(X54))))))<=(in @ X2 @ X4)))<=(breln1 @ X4 @ X35))))))<=(breln1compI)))))<=(breln1invprop))<=(eqbreln1))))<=(setOfPairsIsBReln1))<=(choice2fnsingleton)))<=(breln1all2))<=(woz1_5))<=(woz1_4))))<=(woz1_1)))<=(woz13rule3)))))<=(demorgan2))))<=(demorgan2a))<=(demorgan1))<=(demorgan1b)))<=(demorgan2a2)))<=(demorgan2a1))<=(binunionTEcontra)))<=(inComplementUnionImpInComplement1))<=(inComplementUnionImpNotIn1))<=(intersectInPowersetIntersectUnions))<=(inIntersectImpInIntersectUnions))<=(inIntersectImpInUnion2))))<=(binunionTILcontra))<=(complementTcontraSubset)))<=(complementInPowersetComplementIntersect))<=(complementSubsetComplementIntersect)))))<=(doubleComplementSub2))))<=(doubleComplementI1))<=(contrasubsetT3))<=(contrasubsetT2))<=(contrasubsetT1))))<=(binintersectTELcontra)))<=(complementTI1))<=(powersetTE1))<=(powersetTI1))<=(subsetTI))<=(setextT))<=(complementT_lem)))))<=(binintersectT_lem)))<=(iffalse))<=(iftrue)))<=(ifp)))<=(iftrueProp2))<=(iftrueProp1)))<=(iffalseProp1)))))<=(eta1))<=(beta1))<=(ap2apEq2)))<=(funcext2))<=(funcext))<=(eqbreln))<=(subbreln)))))<=(funcGraphProp3))<=(funcGraphProp1))<=(ex1E2))<=(brelnall2))<=(brelnall1)))<=(lamp)))<=(funcinfuncset))))))<=(funcImageSingleton))<=(dpsetconstrER)))<=(dpsetconstrEL1))<=(dpsetconstrERa)))<=(dpsetconstrSub)))<=(cartprodpairsurjEq)))))<=(cartprodpairmemER)))<=(cartprodsndin))<=(kpairsurjEq)))<=(ksndsingleton))<=(setukpairinjR)))<=(upairequniteq)))<=(setukpairinjR12))<=(setukpairinjR11))<=(setukpairinjL))<=(setukpairinjL2)))<=(kfstpairEq))<=(theprop)))<=(setukpairinjL1))<=(singletonsuniq))<=(ex1I2))<=(ex1I))))<=(setunionsingleton))<=(setunionsingleton2))))<=(cartprodmempair))))))<=(ubforcartprodlem1))<=(upairinpowunion))<=(upairsubunion))<=(upairset2E)))<=(singletoninpowerset)))<=(kpairp)))<=(setukpairIR))))<=(symdiffIneg2)))<=(symdiffI2))<=(symdiffI1))<=(symdiffE))))<=(setminusIRneg)))))<=(setminusSubset2)))<=(setminusEL))))<=(binintersectSubset1)))<=(binintersectRsub))<=(disjointsetsI1))))))<=(binintersectEL)))<=(binintersectI))<=(binunionRsub))<=(binunionLsub)))<=(binunionEcases))))<=(binunionIL))<=(sepSubset))<=(sepInPowerset))<=(powersetsubset))<=(inPowerset))))<=(subsetemptysetimpeq))<=(setextsub))<=(subset2powerset))<=(setadjoinSub2))))<=(subsetRefl))<=(notequalI2))))))))<=(eqimpsubset1))<=(eqimpsubset2))))<=(descr__Cong))<=(exuEu))))<=(powerset__Cong)))<=(emptyset__Cong))))<=(in__Cong))<=(inCongP)))<=(exuI3)))<=(notdallE)))<=(prop2set2propI))<=(prop2setI)))<=(quantDeMorgan3))<=(quantDeMorgan2))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1))<=(upairsetIR)))))<=(eqinunit)))<=(uniqinunit))))<=(subPowSU))<=(setunionE))<=(setunionI))))))<=(setoftrueEq))<=(setadjoinOr))))))<=(nonemptyI1))<=(nonemptyI))<=(nonemptyE1))<=(setbeta)))))))))))<=(dsetconstrER)))<=(dsetconstrI))))<=(foundationAx))<=(replAx)))<=(omegaSAx))<=(omega0Ax)))<=(powersetAx))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', breln1compEex)). 273.56/35.12 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setextAx)). 273.56/35.12 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', emptysetAx)). 273.56/35.12 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setadjoinAx)). 273.56/35.12 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', powersetAx)). 273.56/35.12 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setunionAx)). 273.56/35.12 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', omega0Ax)). 273.56/35.12 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', omegaSAx)). 273.56/35.12 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', omegaIndAx)). 273.56/35.12 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', foundationAx)). 273.56/35.12 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', wellorderingAx)). 273.56/35.12 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', prop2setE)). 273.56/35.12 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', emptysetE)). 273.56/35.12 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', emptysetimpfalse)). 273.56/35.12 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', notinemptyset)). 273.56/35.12 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setext)). 273.56/35.12 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', emptyI)). 273.56/35.12 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', noeltsimpempty)). 273.56/35.12 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setadjoinIL)). 273.56/35.12 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', emptyinunitempty)). 273.56/35.12 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setadjoinIR)). 273.56/35.12 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setadjoinE)). 273.56/35.12 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setadjoinOr)). 273.56/35.12 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', powersetI)). 273.56/35.12 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', emptyinPowerset)). 273.56/35.12 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', emptyInPowerset)). 273.56/35.12 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', powersetE)). 273.56/35.12 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setunionI)). 273.56/35.12 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setunionE)). 273.56/35.12 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', subPowSU)). 273.56/35.12 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', uniqinunit)). 273.56/35.12 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', notinsingleton)). 273.56/35.12 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', eqinunit)). 273.56/35.12 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', singletonsswitch)). 273.56/35.12 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', upairsetE)). 273.56/35.12 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', upairsetIL)). 273.56/35.12 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', upairsetIR)). 273.56/35.12 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', vacuousDall)). 273.56/35.12 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', quantDeMorgan1)). 273.56/35.12 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', quantDeMorgan2)). 273.56/35.12 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', quantDeMorgan3)). 273.56/35.12 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', quantDeMorgan4)). 273.56/35.12 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', prop2setI)). 273.56/35.12 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', prop2set2propI)). 273.56/35.12 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', notdexE)). 273.56/35.12 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', notdallE)). 273.56/35.12 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', inCongP)). 273.56/35.12 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', in__Cong)). 273.56/35.12 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', emptyset__Cong)). 273.56/35.12 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setadjoin__Cong)). 273.56/35.12 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', powerset__Cong)). 273.56/35.12 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setunion__Cong)). 273.56/35.12 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', omega__Cong)). 273.56/35.12 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', subsetI1)). 273.56/35.12 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', eqimpsubset2)). 273.56/35.12 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', eqimpsubset1)). 273.56/35.12 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', subsetI2)). 273.56/35.12 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', emptysetsubset)). 273.56/35.12 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', subsetE)). 273.56/35.12 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', subsetE2)). 273.56/35.12 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', notsubsetI)). 273.56/35.12 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', notequalI1)). 273.56/35.12 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', notequalI2)). 273.56/35.12 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', subsetRefl)). 273.56/35.12 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', subsetTrans)). 273.56/35.12 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setadjoinSub)). 273.56/35.12 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setadjoinSub2)). 273.56/35.12 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', subset2powerset)). 273.56/35.12 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setextsub)). 273.56/35.12 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', subsetemptysetimpeq)). 273.56/35.12 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', powersetI1)). 273.56/35.12 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', powersetE1)). 273.56/35.12 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', inPowerset)). 273.56/35.12 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', powersetsubset)). 273.56/35.12 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binunionIL)). 273.56/35.12 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', upairset2IR)). 273.56/35.12 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binunionIR)). 273.56/35.12 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binunionEcases)). 273.56/35.12 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binunionE)). 273.56/35.12 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binunionLsub)). 273.56/35.12 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binunionRsub)). 273.56/35.12 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binintersectI)). 273.56/35.12 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binintersectSubset5)). 273.56/35.12 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binintersectEL)). 273.56/35.12 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binintersectLsub)). 273.56/35.12 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binintersectSubset2)). 273.56/35.12 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binintersectSubset3)). 273.56/35.12 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binintersectER)). 273.56/35.12 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', disjointsetsI1)). 273.56/35.12 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binintersectRsub)). 273.56/35.12 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binintersectSubset4)). 273.56/35.12 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binintersectSubset1)). 273.56/35.12 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', bs114d)). 273.56/35.12 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setminusI)). 273.56/35.12 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setminusEL)). 273.56/35.12 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setminusER)). 273.56/35.12 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setminusSubset2)). 273.56/35.12 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setminusERneg)). 273.56/35.12 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setminusELneg)). 273.56/35.12 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setminusILneg)). 273.56/35.12 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setminusIRneg)). 273.56/35.12 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setminusLsub)). 273.56/35.12 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setminusSubset1)). 273.56/35.12 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', symdiffE)). 273.56/35.12 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', symdiffI1)). 273.56/35.12 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', symdiffI2)). 273.56/35.12 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', symdiffIneg1)). 273.56/35.12 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', symdiffIneg2)). 273.56/35.12 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', secondinupair)). 273.56/35.12 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setukpairIL)). 273.56/35.12 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setukpairIR)). 273.56/35.12 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', kpairiskpair)). 273.56/35.12 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', kpairp)). 273.56/35.12 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', singletonsubset)). 273.56/35.12 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', singletoninpowerset)). 273.56/35.12 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', singletoninpowunion)). 273.56/35.12 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', upairset2E)). 273.56/35.12 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', upairsubunion)). 273.56/35.12 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', upairinpowunion)). 273.56/35.12 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ubforcartprodlem1)). 273.56/35.12 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ubforcartprodlem2)). 273.56/35.12 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ubforcartprodlem3)). 273.56/35.12 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', cartprodpairin)). 273.56/35.12 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', cartprodmempair1)). 273.56/35.12 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', cartprodmempair)). 273.56/35.12 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setunionE2)). 273.56/35.12 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setunionsingleton1)). 273.56/35.12 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setunionsingleton2)). 273.56/35.12 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setunionsingleton)). 273.56/35.12 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', singletonsuniq)). 273.56/35.12 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setukpairinjL1)). 273.56/35.12 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', theprop)). 273.56/35.12 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', kfstpairEq)). 273.56/35.12 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', cartprodfstin)). 273.56/35.12 thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setukpairinjL2)). 273.56/35.12 thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setukpairinjL)). 273.56/35.12 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setukpairinjR11)). 273.56/35.12 thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setukpairinjR12)). 273.56/35.12 thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setukpairinjR1)). 273.56/35.12 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', upairequniteq)). 273.56/35.12 thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setukpairinjR2)). 273.56/35.12 thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setukpairinjR)). 273.56/35.12 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ksndpairEq)). 273.56/35.12 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', kpairsurjEq)). 273.56/35.12 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', cartprodsndin)). 273.56/35.12 thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', cartprodpairmemEL)). 273.56/35.12 thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', cartprodpairmemER)). 273.56/35.12 thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', cartprodmempaircEq)). 273.56/35.12 thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', cartprodfstpairEq)). 273.56/35.12 thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', cartprodsndpairEq)). 273.56/35.12 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', cartprodpairsurjEq)). 273.56/35.12 thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', app)). 273.56/35.12 thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', infuncsetfunc)). 273.56/35.12 thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ap2p)). 273.56/35.12 thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', funcinfuncset)). 273.56/35.12 thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', funcGraphProp1)). 273.56/35.12 thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', funcGraphProp3)). 273.56/35.12 thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', funcGraphProp2)). 273.56/35.12 thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', funcextLem)). 273.56/35.12 thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', funcGraphProp4)). 273.56/35.12 thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', funcext)). 273.56/35.12 thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', funcext2)). 273.56/35.12 thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ap2apEq1)). 273.56/35.12 thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ap2apEq2)). 273.56/35.12 thf(ifp, axiom, ((ifp)<=>![X4:$i, X44:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X44)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', ifp)). 273.56/35.12 thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', theeq)). 273.56/35.12 thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', iftrue)). 273.56/35.12 thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', iffalse)). 273.56/35.12 thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', iftrueorfalse)). 273.56/35.12 thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binintersectT_lem)). 273.56/35.12 thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binunionT_lem)). 273.56/35.12 thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', powersetT_lem)). 273.56/35.12 thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setminusT_lem)). 273.56/35.12 thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', complementT_lem)). 273.56/35.12 thf(setextT, axiom, ((setextT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ X21))))=>((X21)=(X48))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', setextT)). 273.56/35.12 thf(subsetTI, axiom, ((subsetTI)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', subsetTI)). 273.56/35.12 thf(powersetTI1, axiom, ((powersetTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(in @ X21 @ (powerset @ X48)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', powersetTI1)). 273.56/35.12 thf(powersetTE1, axiom, ((powersetTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', powersetTE1)). 273.56/35.12 thf(complementTI1, axiom, ((complementTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>~((in @ X2 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', complementTI1)). 273.56/35.12 thf(complementTE1, axiom, ((complementTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', complementTE1)). 273.56/35.12 thf(binintersectTELcontra, axiom, ((binintersectTELcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binintersectTELcontra)). 273.56/35.12 thf(binintersectTERcontra, axiom, ((binintersectTERcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binintersectTERcontra)). 273.56/35.12 thf(contrasubsetT, axiom, ((contrasubsetT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ (setminus @ X4 @ X48))=>((in @ X2 @ X48)=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', contrasubsetT)). 273.56/35.12 thf(contrasubsetT1, axiom, ((contrasubsetT1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ X48)=>(~((in @ X2 @ X48))=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', contrasubsetT1)). 273.56/35.12 thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ X48)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', contrasubsetT2)). 273.56/35.12 thf(contrasubsetT3, axiom, ((contrasubsetT3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', contrasubsetT3)). 273.56/35.12 thf(doubleComplementI1, axiom, ((doubleComplementI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', doubleComplementI1)). 273.56/35.12 thf(doubleComplementE1, axiom, ((doubleComplementE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', doubleComplementE1)). 273.56/35.12 thf(doubleComplementSub1, axiom, ((doubleComplementSub1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', doubleComplementSub1)). 273.56/35.12 thf(doubleComplementSub2, axiom, ((doubleComplementSub2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', doubleComplementSub2)). 273.56/35.12 thf(doubleComplementEq, axiom, ((doubleComplementEq)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>((X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', doubleComplementEq)). 273.56/35.12 thf(complementTnotintersectT, axiom, ((complementTnotintersectT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', complementTnotintersectT)). 273.56/35.12 thf(complementImpComplementIntersect, axiom, ((complementImpComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', complementImpComplementIntersect)). 273.56/35.12 thf(complementSubsetComplementIntersect, axiom, ((complementSubsetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ X21) @ (setminus @ X4 @ (binintersect @ X21 @ X48)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', complementSubsetComplementIntersect)). 273.56/35.12 thf(complementInPowersetComplementIntersect, axiom, ((complementInPowersetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', complementInPowersetComplementIntersect)). 273.56/35.12 thf(contraSubsetComplement, axiom, ((contraSubsetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ (setminus @ X4 @ X21))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', contraSubsetComplement)). 273.56/35.12 thf(complementTcontraSubset, axiom, ((complementTcontraSubset)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', complementTcontraSubset)). 273.56/35.12 thf(binunionTILcontra, axiom, ((binunionTILcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binunionTILcontra)). 273.56/35.12 thf(binunionTIRcontra, axiom, ((binunionTIRcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X48)))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binunionTIRcontra)). 273.56/35.12 thf(inIntersectImpInUnion, axiom, ((inIntersectImpInUnion)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X21 @ X49)))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', inIntersectImpInUnion)). 273.56/35.12 thf(inIntersectImpInUnion2, axiom, ((inIntersectImpInUnion2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X48 @ X49)))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', inIntersectImpInUnion2)). 273.56/35.12 thf(inIntersectImpInIntersectUnions, axiom, ((inIntersectImpInIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', inIntersectImpInIntersectUnions)). 273.56/35.12 thf(intersectInPowersetIntersectUnions, axiom, ((intersectInPowersetIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', intersectInPowersetIntersectUnions)). 273.56/35.12 thf(inComplementUnionImpNotIn1, axiom, ((inComplementUnionImpNotIn1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', inComplementUnionImpNotIn1)). 273.56/35.12 thf(inComplementUnionImpInComplement1, axiom, ((inComplementUnionImpInComplement1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', inComplementUnionImpInComplement1)). 273.56/35.12 thf(binunionTE, axiom, ((binunionTE)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X50:$o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ X21 @ X48))=>(((in @ X2 @ X21)=>(X50))=>(((in @ X2 @ X48)=>(X50))=>(X50))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binunionTE)). 273.56/35.12 thf(binunionTEcontra, axiom, ((binunionTEcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', binunionTEcontra)). 273.56/35.12 thf(demorgan2a1, axiom, ((demorgan2a1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', demorgan2a1)). 273.56/35.12 thf(complementUnionInPowersetComplement, axiom, ((complementUnionInPowersetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', complementUnionInPowersetComplement)). 273.56/35.12 thf(demorgan2a2, axiom, ((demorgan2a2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X48)))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', demorgan2a2)). 273.56/35.12 thf(demorgan1a, axiom, ((demorgan1a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48)))=>(in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', demorgan1a)). 273.56/35.12 thf(demorgan1b, axiom, ((demorgan1b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', demorgan1b)). 273.56/35.12 thf(demorgan1, axiom, ((demorgan1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ X21 @ X48))=(binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', demorgan1)). 273.56/35.12 thf(demorgan2a, axiom, ((demorgan2a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', demorgan2a)). 273.56/35.12 thf(demorgan2b2, axiom, ((demorgan2b2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>((in @ X2 @ (setminus @ X4 @ X48))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', demorgan2b2)). 273.56/35.12 thf(demorgan2b, axiom, ((demorgan2b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', demorgan2b)). 273.56/35.12 thf(demorgan2, axiom, ((demorgan2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binunion @ X21 @ X48))=(binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', demorgan2)). 273.56/35.12 thf(woz13rule0, axiom, ((woz13rule0)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ X4)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', woz13rule0)). 273.56/35.12 thf(woz13rule1, axiom, ((woz13rule1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', woz13rule1)). 273.56/35.12 thf(woz13rule2, axiom, ((woz13rule2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X48 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', woz13rule2)). 273.56/35.12 thf(woz13rule3, axiom, ((woz13rule3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X48)=>((subset @ X21 @ X49)=>(subset @ X21 @ (binintersect @ X48 @ X49))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', woz13rule3)). 273.56/35.12 thf(woz13rule4, axiom, ((woz13rule4)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X51:$i]:(((in @ X51 @ (powerset @ X4))=>((subset @ X21 @ X49)=>((subset @ X48 @ X51)=>(subset @ (binintersect @ X21 @ X48) @ (binintersect @ X49 @ X51))))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', woz13rule4)). 273.56/35.12 thf(woz1_1, axiom, ((woz1_1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', woz1_1)). 273.56/35.12 thf(woz1_2, axiom, ((woz1_2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X51:$i]:(((in @ X51 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ (binunion @ X21 @ X48) @ (binunion @ X49 @ X51)))=(binunion @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)) @ (binintersect @ (setminus @ X4 @ X49) @ (setminus @ X4 @ X51))))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', woz1_2)). 273.56/35.12 thf(woz1_3, axiom, ((woz1_3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', woz1_3)). 273.56/35.12 thf(woz1_4, axiom, ((woz1_4)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', woz1_4)). 273.56/35.12 thf(woz1_5, axiom, ((woz1_5)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox/tmp/tmp.cHQhjyJOOq/E---3.1_9013.p', woz1_5)). 273.56/35.12 thf(c_0_302, plain, ((breln1)=(^[Z0/* 19 */:$i, Z1:$i]:(((subset @ Z1 @ (cartprod @ Z0 @ Z0)))))), inference(fof_simplification,[status(thm)],[breln1])). 273.56/35.12 thf(c_0_303, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])). 273.56/35.12 thf(c_0_304, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 273.56/35.12 thf(c_0_305, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 273.56/35.12 thf(c_0_306, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 273.56/35.12 thf(c_0_307, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 273.56/35.12 thf(c_0_308, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 273.56/35.12 thf(c_0_309, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 273.56/35.12 thf(c_0_310, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 273.56/35.12 thf(c_0_311, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 273.56/35.12 thf(c_0_312, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])). 273.56/35.12 thf(c_0_313, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 273.56/35.12 thf(c_0_314, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 273.56/35.12 thf(c_0_315, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])). 273.56/35.12 thf(c_0_316, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 273.56/35.12 thf(c_0_317, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 273.56/35.12 thf(c_0_318, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 273.56/35.12 thf(c_0_319, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])). 273.56/35.12 thf(c_0_320, plain, ((breln1)=(^[Z0/* 19 */:$i, Z1:$i]:(((subset @ Z1 @ (cartprod @ Z0 @ Z0)))))), inference(apply_def,[status(thm)],[c_0_302, c_0_303])). 273.56/35.12 thf(c_0_321, plain, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[Z0/* 19 */:$i, Z1:$i]:((X53 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln1])). 273.56/35.12 thf(c_0_322, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X1029:$i]:((((X6 @ X2 @ X1029))&![X1030:$i]:((((X6 @ X2 @ X1030))=>((X1029)=(X1030)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_304, c_0_305])). 273.56/35.12 thf(c_0_323, plain, ((descrp)=(![X1:$i > $o]:(((?[X1031:$i]:((((X1 @ X1031))&![X1032:$i]:((((X1 @ X1032))=>((X1031)=(X1032)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_306, c_0_305])). 273.56/35.12 thf(c_0_324, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 273.56/35.12 thf(c_0_325, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 273.56/35.12 thf(c_0_326, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 273.56/35.12 thf(c_0_327, plain, ((exuE1)=(![X1:$i > $o]:(((?[X1033:$i]:((((X1 @ X1033))&![X1034:$i]:((((X1 @ X1034))=>((X1033)=(X1034)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_307, c_0_305])). 273.56/35.12 thf(c_0_328, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X1035:$i]:((((X1 @ X1035))&![X1036:$i]:((((X1 @ X1036))=>((X1035)=(X1036)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_308, c_0_305])). 273.56/35.12 thf(c_0_329, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 273.56/35.12 thf(c_0_330, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_309])). 273.56/35.12 thf(c_0_331, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_310, c_0_309])). 273.56/35.12 thf(c_0_332, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_309])). 273.56/35.12 thf(c_0_333, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 273.56/35.12 thf(c_0_334, plain, ((exuE2)=(![X1:$i > $o]:(((?[X1037:$i]:((((X1 @ X1037))&![X1038:$i]:((((X1 @ X1038))=>((X1037)=(X1038)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_311, c_0_305])). 273.56/35.12 thf(c_0_335, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_309])). 273.56/35.12 thf(c_0_336, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])). 273.56/35.12 thf(c_0_337, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X1039:$i]:((((X1 @ X1039))&![X1040:$i]:((((X1 @ X1040))=>((X1039)=(X1040))))))))))), inference(apply_def,[status(thm)],[c_0_312, c_0_305])). 273.56/35.12 thf(c_0_338, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X1041:$i]:((((X1 @ X1041))&![X1042:$i]:((((X1 @ X1042))=>((X1041)=(X1042)))))))))))), inference(apply_def,[status(thm)],[c_0_313, c_0_305])). 273.56/35.12 thf(c_0_339, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X1043:$i]:((((X1 @ X1043))&![X1044:$i]:((((X1 @ X1044))=>((X1043)=(X1044))))))))))), inference(apply_def,[status(thm)],[c_0_314, c_0_305])). 273.56/35.12 thf(c_0_340, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X1045:$i]:((((X1 @ X1045))&![X1046:$i]:((((X1 @ X1046))=>((X1045)=(X1046)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_315, c_0_305])). 273.56/35.12 thf(c_0_341, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X1047:$i]:((((X1 @ X1047))&![X1048:$i]:((((X1 @ X1048))=>((X1047)=(X1048)))))))<=>(?[X1049:$i]:((((X17 @ X1049))&![X1050:$i]:((((X17 @ X1050))=>((X1049)=(X1050)))))))))))), inference(apply_def,[status(thm)],[c_0_316, c_0_305])). 273.56/35.12 thf(c_0_342, plain, ((exuEu)=(![X1:$i > $o]:(((?[X1051:$i]:((((X1 @ X1051))&![X1052:$i]:((((X1 @ X1052))=>((X1051)=(X1052)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_317, c_0_305])). 273.56/35.12 thf(c_0_343, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X1053:$i]:((((X1 @ X1053))&![X1054:$i]:((((X1 @ X1054))=>((X1053)=(X1054)))))))=>((?[X1055:$i]:((((X17 @ X1055))&![X1056:$i]:((((X17 @ X1056))=>((X1055)=(X1056)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_318, c_0_305])). 273.56/35.12 thf(c_0_344, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 273.56/35.12 thf(c_0_345, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])). 273.56/35.12 thf(c_0_346, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])). 273.56/35.12 thf(c_0_347, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])). 273.56/35.12 thf(c_0_348, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])). 273.56/35.12 thf(c_0_349, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])). 273.56/35.12 thf(c_0_350, plain, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])). 273.56/35.12 thf(c_0_351, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])). 273.56/35.12 thf(c_0_352, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])). 273.56/35.12 thf(c_0_353, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])). 273.56/35.12 thf(c_0_354, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])). 273.56/35.12 thf(c_0_355, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_319, c_0_303])). 273.56/35.12 thf(c_0_356, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])). 273.56/35.12 thf(c_0_357, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])). 273.56/35.12 thf(c_0_358, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])). 273.56/35.12 thf(c_0_359, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])). 273.56/35.12 thf(c_0_360, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])). 273.56/35.12 thf(c_0_361, plain, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X29))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])). 273.56/35.12 thf(c_0_362, plain, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:(((X30 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])). 273.56/35.12 thf(c_0_363, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])). 273.56/35.12 thf(c_0_364, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])). 273.56/35.12 thf(c_0_365, axiom, ((brelnall1)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[brelnall1, c_0_303])). 273.56/35.12 thf(c_0_366, axiom, ((brelnall2)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[brelnall2, c_0_303])). 273.56/35.12 thf(c_0_367, plain, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[ex1E2])). 273.56/35.12 thf(c_0_368, axiom, ((subbreln)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X5)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35)))))))), inference(apply_def,[status(thm)],[subbreln, c_0_303])). 273.56/35.12 thf(c_0_369, axiom, ((eqbreln)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X5)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35)))))))))), inference(apply_def,[status(thm)],[eqbreln, c_0_303])). 273.56/35.12 thf(c_0_370, plain, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X36 @ Z0))) @ X2)=(X36 @ X2))))))), inference(fof_simplification,[status(thm)],[beta1])). 273.56/35.12 thf(c_0_371, plain, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[Z0/* 247 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta1])). 273.56/35.12 thf(c_0_372, plain, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X37 @ Z0)))=(lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X37 @ Z0))))))), inference(fof_simplification,[status(thm)],[lam2lamEq])). 273.56/35.12 thf(c_0_373, plain, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X38 @ Z0))) @ X2)=(X38 @ X2))))))), inference(fof_simplification,[status(thm)],[beta2])). 273.56/35.12 thf(c_0_374, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0/* 247 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])). 273.56/35.12 thf(c_0_375, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X39)&((Z0)=(X2)))|(~((X39))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])). 273.56/35.12 thf(c_0_376, plain, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X40)&((Z0)=(X2)))|(~((X40))&((Z0)=(X3)))))))=(setadjoin @ X3 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iffalseProp2])). 273.56/35.12 thf(c_0_377, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X41)&((Z0)=(X2)))|(~((X41))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])). 273.56/35.12 thf(c_0_378, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X42)&((Z0)=(X2)))|(~((X42))&((Z0)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])). 273.56/35.12 thf(c_0_379, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X43)&((Z0)=(X2)))|(~((X43))&((Z0)=(X3))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])). 273.56/35.12 thf(c_0_380, axiom, ((breln1all2)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[breln1all2, c_0_320])). 273.56/35.12 thf(c_0_381, axiom, ((breln1SetBreln1)=(![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>((subset @ X33 @ (cartprod @ X4 @ X4))))))), inference(apply_def,[status(thm)],[breln1SetBreln1, c_0_320])). 273.56/35.12 thf(c_0_382, plain, ((choice2fnsingleton)<=>![X4:$i, X5:$i, X52:$i > $i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>?[X3:$i]:(((in @ X3 @ X5)&(X52 @ X2 @ X3)))))=>![X33:$i]:(((in @ X33 @ (breln1Set @ X5))=>((reflwellordering @ X5 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 8 */:$i]:(((X52 @ X2 @ Z0)&![X14:$i]:(((in @ X14 @ X5)=>((X52 @ X2 @ X14)=>(in @ (kpair @ Z0 @ X14) @ X33))))))))))))))))), inference(fof_simplification,[status(thm)],[choice2fnsingleton])). 273.56/35.12 thf(c_0_383, plain, ((setOfPairsIsBReln1)=(![X4:$i, X53:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X4 @ (^[Z0/* 19 */:$i, Z1:$i]:((X53 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X4)))))), inference(apply_def,[status(thm)],[c_0_321, c_0_320])). 273.56/35.12 thf(c_0_384, axiom, ((breln1all1)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[breln1all1, c_0_320])). 273.56/35.12 thf(c_0_385, axiom, ((subbreln1)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X4)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35)))))))), inference(apply_def,[status(thm)],[subbreln1, c_0_320])). 273.56/35.12 thf(c_0_386, axiom, ((eqbreln1)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X4)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35)))))))))), inference(apply_def,[status(thm)],[eqbreln1, c_0_320])). 273.56/35.12 thf(c_0_387, axiom, ((breln1invprop)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>((subset @ (breln1invset @ X4 @ X33) @ (cartprod @ X4 @ X4))))))), inference(apply_def,[status(thm)],[breln1invprop, c_0_320])). 273.56/35.12 thf(c_0_388, axiom, ((breln1invI)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33))))))))))), inference(apply_def,[status(thm)],[breln1invI, c_0_320])). 273.56/35.12 thf(c_0_389, axiom, ((breln1invE)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33))=>(in @ (kpair @ X2 @ X3) @ X33)))))))))), inference(apply_def,[status(thm)],[breln1invE, c_0_320])). 273.56/35.12 thf(c_0_390, axiom, ((breln1compprop)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X4)))=>((subset @ (breln1compset @ X4 @ X33 @ X35) @ (cartprod @ X4 @ X4))))))))), inference(apply_def,[status(thm)],[breln1compprop, c_0_320])). 273.56/35.12 thf(c_0_391, axiom, ((breln1compI)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X4)))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>![X14:$i]:(((in @ X14 @ X4)=>((in @ (kpair @ X2 @ X14) @ X33)=>((in @ (kpair @ X14 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35)))))))))))))))), inference(apply_def,[status(thm)],[breln1compI, c_0_320])). 273.56/35.12 thf(c_0_392, axiom, ((breln1compE)=(![X4:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X4)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X4)))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))=>?[X14:$i]:((((in @ X14 @ X4)&(in @ (kpair @ X2 @ X14) @ X33))&(in @ (kpair @ X14 @ X3) @ X35)))))))))))))), inference(apply_def,[status(thm)],[breln1compE, c_0_320])). 273.56/35.12 thf(c_0_393, plain, ((epred1_0)<=>![X1063:$i]:(?[X1064:$i]:((((![X1065:$i]:(((in @ X1065 @ X1064)=>![X1066:$i]:(((in @ X1066 @ X1065)=>(in @ X1066 @ X1063)))))&![X1067:$i, X1068:$i]:((((in @ X1067 @ X1063)&(in @ X1068 @ X1063))=>(![X1069:$i]:(((in @ X1069 @ X1064)=>((in @ X1067 @ X1069)<=>(in @ X1068 @ X1069))))=>((X1067)=(X1068))))))&![X1070:$i, X1071:$i]:((((in @ X1070 @ X1064)&(in @ X1071 @ X1064))=>(![X1072:$i]:(((in @ X1072 @ X1070)=>(in @ X1072 @ X1071)))|![X1073:$i]:(((in @ X1073 @ X1071)=>(in @ X1073 @ X1070)))))))&![X1074:$i]:(((![X1075:$i]:(((in @ X1075 @ X1074)=>(in @ X1075 @ X1063)))&?[X1076:$i]:((in @ X1076 @ X1074)))=>?[X1077:$i, X1078:$i]:(((((in @ X1077 @ X1064)&(in @ X1078 @ X1074))&~(?[X1079:$i]:(((in @ X1079 @ X1077)&(in @ X1079 @ X1074)))))&![X1080:$i]:(((in @ X1080 @ X1064)=>(![X1081:$i]:(((in @ X1081 @ X1080)=>(in @ X1081 @ X1077)))|(in @ X1078 @ X1080)))))))))))), introduced(definition)). 273.56/35.12 thf(c_0_394, negated_conjecture, ~((![X2050:$i, X2051:$i]:((![X2052:$i]:(((in @ X2052 @ X2050)<=>(in @ X2052 @ X2051)))=>((X2050)=(X2051))))=>(![X2049:$i]:(~(in @ X2049 @ emptyset))=>(![X2046:$i, X2047:$i, X2048:$i]:(((in @ X2048 @ (setadjoin @ X2046 @ X2047))<=>(((X2048)=(X2046))|(in @ X2048 @ X2047))))=>(![X2043:$i, X2044:$i]:(((in @ X2044 @ (powerset @ X2043))<=>![X2045:$i]:(((in @ X2045 @ X2044)=>(in @ X2045 @ X2043)))))=>(![X1057:$i, X1058:$i]:(((in @ X1058 @ (setunion @ X1057))<=>?[X1059:$i]:(((in @ X1058 @ X1059)&(in @ X1059 @ X1057)))))=>((in @ emptyset @ omega)=>(![X2042:$i]:(((in @ X2042 @ omega)=>(in @ (setadjoin @ X2042 @ X2042) @ omega)))=>(![X1060:$i]:((((in @ emptyset @ X1060)&![X1061:$i]:((((in @ X1061 @ omega)&(in @ X1061 @ X1060))=>(in @ (setadjoin @ X1061 @ X1061) @ X1060))))=>![X1062:$i]:(((in @ X1062 @ omega)=>(in @ X1062 @ X1060)))))=>(![X2034:$i > $i > $o, X2035:$i]:((![X2036:$i]:(((in @ X2036 @ X2035)=>?[X2037:$i]:(((X2034 @ X2036 @ X2037)&![X2038:$i]:(((X2034 @ X2036 @ X2038)=>((X2037)=(X2038))))))))=>?[X2039:$i]:(![X2040:$i]:(((in @ X2040 @ X2039)<=>?[X2041:$i]:(((in @ X2041 @ X2035)&(X2034 @ X2041 @ X2040))))))))=>(![X2030:$i]:((?[X2031:$i]:((in @ X2031 @ X2030))=>?[X2032:$i]:(((in @ X2032 @ X2030)&~(?[X2033:$i]:(((in @ X2033 @ X2032)&(in @ X2033 @ X2030))))))))=>((epred1_0)=>(![X1082:$i > $o]:((?[X1083:$i]:(((X1082 @ X1083)&![X1084:$i]:(((X1082 @ X1084)=>((X1083)=(X1084))))))=>(X1082 @ (descr @ (^[Z0/* 17 */:$i]:(X1082 @ Z0))))))=>(![X2027:$i, X2028:$i > $o, X2029:$i]:(((in @ X2029 @ X2027)=>((X2028 @ X2029)=>(in @ X2029 @ (dsetconstr @ X2027 @ X2028)))))=>(![X1085:$i, X1086:$i > $o, X1087:$i]:(((in @ X1087 @ (dsetconstr @ X1085 @ X1086))=>(in @ X1087 @ X1085)))=>(![X2024:$i, X2025:$i > $o, X2026:$i]:(((in @ X2026 @ (dsetconstr @ X2024 @ X2025))=>(X2025 @ X2026)))=>(![X1088:$i > $o]:((?[X1089:$i]:(((X1088 @ X1089)&![X1090:$i]:(((X1088 @ X1090)=>((X1089)=(X1090))))))=>?[X1091:$i]:(((X1088 @ X1091)&![X1092:$i]:(((X1088 @ X1092)=>((X1091)=(X1092))))))))=>(![X1093:$o, X1094:$i]:(((in @ X1094 @ (prop2set @ ((X1093))))=>(X1093)))=>(![X1095:$i]:(((in @ X1095 @ emptyset)=>![X1096:$o]:((X1096))))=>(![X1097:$i]:(((in @ X1097 @ emptyset)=>~($true)))=>(![X1098:$i]:(~(in @ X1098 @ emptyset))=>(![X1099:$i > $o]:((?[X1100:$i]:(((X1099 @ X1100)&![X1101:$i]:(((X1099 @ X1101)=>((X1100)=(X1101))))))=>?[X1102:$i]:((X1099 @ X1102))))=>(![X1103:$i, X1104:$i]:((![X1105:$i]:(((in @ X1105 @ X1103)=>(in @ X1105 @ X1104)))=>(![X1106:$i]:(((in @ X1106 @ X1104)=>(in @ X1106 @ X1103)))=>((X1103)=(X1104)))))=>(![X1107:$i]:((![X1108:$i]:(~(in @ X1108 @ X1107))=>((X1107)=(emptyset))))=>(![X1109:$i]:((![X1110:$i]:(~(in @ X1110 @ X1109))=>((X1109)=(emptyset))))=>(![X2021:$i, X2022:$i > $o, X2023:$i]:(((in @ X2023 @ X2021)=>((in @ X2023 @ (dsetconstr @ X2021 @ X2022))<=>(X2022 @ X2023))))=>(![X2019:$i]:((((X2019)!=(emptyset))=>?[X2020:$i]:((in @ X2020 @ X2019))))=>(![X2016:$i, X2017:$i > $o, X2018:$i]:(((in @ X2018 @ X2016)=>((X2017 @ X2018)=>((dsetconstr @ X2016 @ X2017)!=(emptyset)))))=>(![X2014:$i]:((?[X2015:$i]:((in @ X2015 @ X2014))=>((X2014)!=(emptyset))))=>(![X1111:$i, X1112:$i]:((in @ X1111 @ (setadjoin @ X1111 @ X1112)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X1113:$i, X1114:$i, X1115:$i]:(((in @ X1115 @ X1114)=>(in @ X1115 @ (setadjoin @ X1113 @ X1114))))=>(![X1116:$i, X1117:$i, X1118:$i]:(((in @ X1118 @ (setadjoin @ X1116 @ X1117))=>![X1119:$o]:(((((X1118)=(X1116))=>(X1119))=>(((in @ X1118 @ X1117)=>(X1119))=>(X1119))))))=>(![X2011:$i, X2012:$i, X2013:$i]:(((in @ X2013 @ (setadjoin @ X2011 @ X2012))=>(((X2013)=(X2011))|(in @ X2013 @ X2012))))=>(![X2010:$i]:(((dsetconstr @ X2010 @ (^[Z0/* 1 */:$i]:($true)))=(X2010)))=>(![X1120:$i, X1121:$i]:((![X1122:$i]:(((in @ X1122 @ X1121)=>(in @ X1122 @ X1120)))=>(in @ X1121 @ (powerset @ X1120))))=>(![X1123:$i]:((in @ emptyset @ (powerset @ X1123)))=>(![X1124:$i]:((in @ emptyset @ (powerset @ X1124)))=>(![X1125:$i, X1126:$i, X1127:$i]:(((in @ X1126 @ (powerset @ X1125))=>((in @ X1127 @ X1126)=>(in @ X1127 @ X1125))))=>(![X2007:$i, X2008:$i, X2009:$i]:(((in @ X2008 @ X2009)=>((in @ X2009 @ X2007)=>(in @ X2008 @ (setunion @ X2007)))))=>(![X2003:$i, X2004:$i]:(((in @ X2004 @ (setunion @ X2003))=>![X2005:$o]:((![X2006:$i]:(((in @ X2004 @ X2006)=>((in @ X2006 @ X2003)=>(X2005))))=>(X2005)))))=>(![X2001:$i, X2002:$i]:(((in @ X2002 @ X2001)=>(in @ X2002 @ (powerset @ (setunion @ X2001)))))=>(![X1128:$i > $o]:((?[X1129:$i]:(((X1128 @ X1129)&![X1130:$i]:(((X1128 @ X1130)=>((X1129)=(X1130))))))=>?[X1131:$i]:(![X1132:$i]:(((X1128 @ X1132)<=>((X1132)=(X1131)))))))=>(![X1133:$i]:((((X1133)!=(emptyset))=>?[X1134:$i]:(((in @ X1134 @ X1133)&$true))))=>(![X1999:$i, X2000:$i]:(((in @ X1999 @ (setadjoin @ X2000 @ emptyset))=>((X1999)=(X2000))))=>(![X1135:$i, X1136:$i]:((((X1135)!=(X1136))=>~(in @ X1136 @ (setadjoin @ X1135 @ emptyset))))=>(![X1997:$i, X1998:$i]:((((X1997)=(X1998))=>(in @ X1997 @ (setadjoin @ X1998 @ emptyset))))=>(![X1137:$i, X1138:$i]:(((in @ X1137 @ (setadjoin @ X1138 @ emptyset))=>(in @ X1138 @ (setadjoin @ X1137 @ emptyset))))=>(![X1139:$i, X1140:$i, X1141:$i]:(((in @ X1141 @ (setadjoin @ X1139 @ (setadjoin @ X1140 @ emptyset)))=>(((X1141)=(X1139))|((X1141)=(X1140)))))=>(![X1142:$i, X1143:$i]:((in @ X1142 @ (setadjoin @ X1142 @ (setadjoin @ X1143 @ emptyset))))=>(![X1995:$i, X1996:$i]:((in @ X1996 @ (setadjoin @ X1995 @ (setadjoin @ X1996 @ emptyset))))=>(![X1992:$i, X1993:$i > $o]:((?[X1994:$i]:(((in @ X1994 @ X1992)&(X1993 @ X1994)))=>(((dsetconstr @ X1992 @ X1993)=(emptyset))=>~($true))))=>(![X1990:$i > $o, X1991:$i]:(((in @ X1991 @ emptyset)=>(X1990 @ X1991)))=>(![X1986:$i, X1987:$i > $o]:((~(![X1988:$i]:(((in @ X1988 @ X1986)=>(X1987 @ X1988))))=>?[X1989:$i]:(((in @ X1989 @ X1986)&~((X1987 @ X1989))))))=>(![X1982:$i, X1983:$i > $o]:((![X1984:$i]:(((in @ X1984 @ X1982)=>~((X1983 @ X1984))))=>~(?[X1985:$i]:(((in @ X1985 @ X1982)&(X1983 @ X1985))))))=>(![X1978:$i, X1979:$i > $o]:((~(?[X1980:$i]:(((in @ X1980 @ X1978)&(X1979 @ X1980))))=>![X1981:$i]:(((in @ X1981 @ X1978)=>~((X1979 @ X1981))))))=>(![X1144:$i, X1145:$i > $o]:((?[X1146:$i]:(((in @ X1146 @ X1144)&~((X1145 @ X1146))))=>~(![X1147:$i]:(((in @ X1147 @ X1144)=>(X1145 @ X1147))))))=>(![X1977:$o]:(((X1977)=>(in @ emptyset @ (prop2set @ ((X1977))))))=>(![X1976:$o]:(((X1976)=>(set2prop @ (prop2set @ ((X1976))))))=>(![X1148:$i, X1149:$i > $o]:((~(?[X1150:$i]:(((in @ X1150 @ X1148)&(X1149 @ X1150))))=>![X1151:$i]:(((in @ X1151 @ X1148)=>~((X1149 @ X1151))))))=>(![X1972:$i, X1973:$i > $o]:((~(![X1974:$i]:(((in @ X1974 @ X1972)=>(X1973 @ X1974))))=>?[X1975:$i]:(((in @ X1975 @ X1972)&~((X1973 @ X1975))))))=>(![X1152:$i > $o]:((?[X1153:$i]:(((X1152 @ X1153)&![X1154:$i]:(((X1152 @ X1154)=>((X1153)=(X1154))))))=>?[X1155:$i]:(((X1152 @ X1155)&![X1156:$i]:(((X1152 @ X1156)=>((X1155)=(X1156))))))))=>(![X1966:$i > $o]:((?[X1967:$i]:((X1966 @ X1967))=>(![X1968:$i, X1969:$i]:(((X1966 @ X1968)=>((X1966 @ X1969)=>((X1968)=(X1969)))))=>?[X1970:$i]:(((X1966 @ X1970)&![X1971:$i]:(((X1966 @ X1971)=>((X1970)=(X1971)))))))))=>(![X1157:$i > $o]:((?[X1158:$i]:(![X1159:$i]:(((X1157 @ X1159)<=>((X1159)=(X1158)))))=>?[X1160:$i]:(((X1157 @ X1160)&![X1161:$i]:(((X1157 @ X1161)=>((X1160)=(X1161))))))))=>(![X1962:$i, X1963:$i]:((((X1962)=(X1963))=>![X1964:$i, X1965:$i]:((((X1964)=(X1965))=>((in @ X1964 @ X1962)=>(in @ X1965 @ X1963))))))=>(![X1958:$i, X1959:$i]:((((X1958)=(X1959))=>![X1960:$i, X1961:$i]:((((X1960)=(X1961))=>((in @ X1960 @ X1958)<=>(in @ X1961 @ X1959))))))=>(![X1162:$i > $o]:((?[X1163:$i]:(((X1162 @ X1163)&![X1164:$i]:(((X1162 @ X1164)=>((X1163)=(X1164))))))=>![X1165:$i, X1166:$i]:(((X1162 @ X1165)=>((X1162 @ X1166)=>((X1165)=(X1166)))))))=>(![X1167:$i > $o, X1168:$i > $o]:((![X1169:$i, X1170:$i]:((((X1169)=(X1170))=>((X1167 @ X1169)<=>(X1168 @ X1170))))=>(?[X1171:$i]:(((X1167 @ X1171)&![X1172:$i]:(((X1167 @ X1172)=>((X1171)=(X1172))))))<=>?[X1173:$i]:(((X1168 @ X1173)&![X1174:$i]:(((X1168 @ X1174)=>((X1173)=(X1174)))))))))=>(((emptyset)=(emptyset))=>(![X1175:$i, X1176:$i]:((((X1175)=(X1176))=>![X1177:$i, X1178:$i]:((((X1177)=(X1178))=>((setadjoin @ X1175 @ X1177)=(setadjoin @ X1176 @ X1178))))))=>(![X1956:$i, X1957:$i]:((((X1956)=(X1957))=>((powerset @ X1956)=(powerset @ X1957))))=>(![X1179:$i, X1180:$i]:((((X1179)=(X1180))=>((setunion @ X1179)=(setunion @ X1180))))=>(((omega)=(omega))=>(![X1951:$i > $o]:((?[X1952:$i]:(((X1951 @ X1952)&![X1953:$i]:(((X1951 @ X1953)=>((X1952)=(X1953))))))=>![X1954:$i, X1955:$i]:(((X1951 @ X1954)=>((X1951 @ X1955)=>((X1954)=(X1955)))))))=>(![X1943:$i > $o, X1944:$i > $o]:((![X1945:$i, X1946:$i]:((((X1945)=(X1946))=>((X1943 @ X1945)<=>(X1944 @ X1946))))=>(?[X1947:$i]:(((X1943 @ X1947)&![X1948:$i]:(((X1943 @ X1948)=>((X1947)=(X1948))))))=>(?[X1949:$i]:(((X1944 @ X1949)&![X1950:$i]:(((X1944 @ X1950)=>((X1949)=(X1950))))))=>((descr @ X1943)=(descr @ X1944))))))=>(![X1181:$i, X1182:$i]:((((X1181)=(X1182))=>![X1183:$i > $o, X1184:$i > $o]:((![X1185:$i]:(((in @ X1185 @ X1181)=>![X1186:$i]:(((in @ X1186 @ X1182)=>(((X1185)=(X1186))=>((X1183 @ X1185)<=>(X1184 @ X1186)))))))=>((dsetconstr @ X1181 @ X1183)=(dsetconstr @ X1182 @ X1184))))))=>(![X1187:$i, X1188:$i]:((![X1189:$i]:(((in @ X1189 @ X1187)=>(in @ X1189 @ X1188)))=>(subset @ X1187 @ X1188)))=>(![X1941:$i, X1942:$i]:((((X1941)=(X1942))=>(subset @ X1942 @ X1941)))=>(![X1939:$i, X1940:$i]:((((X1939)=(X1940))=>(subset @ X1939 @ X1940)))=>(![X1190:$i, X1191:$i]:((![X1192:$i]:(((in @ X1192 @ X1190)=>(in @ X1192 @ X1191)))=>(subset @ X1190 @ X1191)))=>(![X1193:$i]:((subset @ emptyset @ X1193))=>(![X1194:$i, X1195:$i, X1196:$i]:(((subset @ X1194 @ X1195)=>((in @ X1196 @ X1194)=>(in @ X1196 @ X1195))))=>(![X1197:$i, X1198:$i, X1199:$i]:(((subset @ X1197 @ X1198)=>(~(in @ X1199 @ X1198)=>~(in @ X1199 @ X1197))))=>(![X1200:$i, X1201:$i, X1202:$i]:(((in @ X1202 @ X1200)=>(~(in @ X1202 @ X1201)=>~(subset @ X1200 @ X1201))))=>(![X1203:$i, X1204:$i]:((~(subset @ X1203 @ X1204)=>((X1203)!=(X1204))))=>(![X1936:$i, X1937:$i, X1938:$i]:(((in @ X1938 @ X1936)=>(~(in @ X1938 @ X1937)=>((X1936)!=(X1937)))))=>(![X1935:$i]:((subset @ X1935 @ X1935))=>(![X1205:$i, X1206:$i, X1207:$i]:(((subset @ X1205 @ X1206)=>((subset @ X1206 @ X1207)=>(subset @ X1205 @ X1207))))=>(![X1208:$i, X1209:$i]:((subset @ X1209 @ (setadjoin @ X1208 @ X1209)))=>(![X1932:$i, X1933:$i, X1934:$i]:(((subset @ X1932 @ X1934)=>(subset @ X1932 @ (setadjoin @ X1933 @ X1934))))=>(![X1930:$i, X1931:$i]:(((subset @ X1930 @ X1931)=>(in @ X1930 @ (powerset @ X1931))))=>(![X1928:$i, X1929:$i]:(((subset @ X1928 @ X1929)=>((subset @ X1929 @ X1928)=>((X1928)=(X1929)))))=>(![X1927:$i]:(((subset @ X1927 @ emptyset)=>((X1927)=(emptyset))))=>(![X1210:$i, X1211:$i]:(((subset @ X1211 @ X1210)=>(in @ X1211 @ (powerset @ X1210))))=>(![X1212:$i, X1213:$i]:(((in @ X1213 @ (powerset @ X1212))=>(subset @ X1213 @ X1212)))=>(![X1926:$i]:((in @ X1926 @ (powerset @ X1926)))=>(![X1924:$i, X1925:$i]:(((subset @ X1924 @ X1925)=>(subset @ (powerset @ X1924) @ (powerset @ X1925))))=>(![X1922:$i, X1923:$i > $o]:((in @ (dsetconstr @ X1922 @ X1923) @ (powerset @ X1922)))=>(![X1920:$i, X1921:$i > $o]:((subset @ (dsetconstr @ X1920 @ X1921) @ X1920))=>(![X1917:$i, X1918:$i, X1919:$i]:(((in @ X1919 @ X1917)=>(in @ X1919 @ (binunion @ X1917 @ X1918))))=>(![X1214:$i, X1215:$i]:((in @ X1215 @ (setadjoin @ X1214 @ (setadjoin @ X1215 @ emptyset))))=>(![X1216:$i, X1217:$i, X1218:$i]:(((in @ X1218 @ X1217)=>(in @ X1218 @ (binunion @ X1216 @ X1217))))=>(![X1913:$i, X1914:$i, X1915:$i, X1916:$o]:(((in @ X1915 @ (binunion @ X1913 @ X1914))=>(((in @ X1915 @ X1913)=>(X1916))=>(((in @ X1915 @ X1914)=>(X1916))=>(X1916)))))=>(![X1219:$i, X1220:$i, X1221:$i]:(((in @ X1221 @ (binunion @ X1219 @ X1220))=>((in @ X1221 @ X1219)|(in @ X1221 @ X1220))))=>(![X1911:$i, X1912:$i]:((subset @ X1911 @ (binunion @ X1911 @ X1912)))=>(![X1909:$i, X1910:$i]:((subset @ X1910 @ (binunion @ X1909 @ X1910)))=>(![X1906:$i, X1907:$i, X1908:$i]:(((in @ X1908 @ X1906)=>((in @ X1908 @ X1907)=>(in @ X1908 @ (binintersect @ X1906 @ X1907)))))=>(![X1222:$i, X1223:$i, X1224:$i]:(((subset @ X1224 @ X1222)=>((subset @ X1224 @ X1223)=>(subset @ X1224 @ (binintersect @ X1222 @ X1223)))))=>(![X1903:$i, X1904:$i, X1905:$i]:(((in @ X1905 @ (binintersect @ X1903 @ X1904))=>(in @ X1905 @ X1903)))=>(![X1225:$i, X1226:$i]:((subset @ (binintersect @ X1225 @ X1226) @ X1225))=>(![X1227:$i, X1228:$i]:(((subset @ X1227 @ X1228)=>((binintersect @ X1227 @ X1228)=(X1227))))=>(![X1229:$i, X1230:$i]:((((binintersect @ X1229 @ X1230)=(X1230))=>(subset @ X1230 @ X1229)))=>(![X1231:$i, X1232:$i, X1233:$i]:(((in @ X1233 @ (binintersect @ X1231 @ X1232))=>(in @ X1233 @ X1232)))=>(![X1900:$i, X1901:$i]:((~(?[X1902:$i]:(((in @ X1902 @ X1900)&(in @ X1902 @ X1901))))=>((binintersect @ X1900 @ X1901)=(emptyset))))=>(![X1898:$i, X1899:$i]:((subset @ (binintersect @ X1898 @ X1899) @ X1899))=>(![X1234:$i, X1235:$i]:(((subset @ X1235 @ X1234)=>((binintersect @ X1234 @ X1235)=(X1235))))=>(![X1896:$i, X1897:$i]:((((binintersect @ X1896 @ X1897)=(X1896))=>(subset @ X1896 @ X1897)))=>(![X1236:$i, X1237:$i, X1238:$i]:(((binintersect @ X1236 @ (binunion @ X1237 @ X1238))=(binunion @ (binintersect @ X1236 @ X1237) @ (binintersect @ X1236 @ X1238))))=>(![X1239:$i, X1240:$i, X1241:$i]:(((in @ X1241 @ X1239)=>(~(in @ X1241 @ X1240)=>(in @ X1241 @ (setminus @ X1239 @ X1240)))))=>(![X1893:$i, X1894:$i, X1895:$i]:(((in @ X1895 @ (setminus @ X1893 @ X1894))=>(in @ X1895 @ X1893)))=>(![X1242:$i, X1243:$i, X1244:$i]:(((in @ X1244 @ (setminus @ X1242 @ X1243))=>~(in @ X1244 @ X1243)))=>(![X1891:$i, X1892:$i]:(((subset @ X1891 @ X1892)=>((setminus @ X1891 @ X1892)=(emptyset))))=>(![X1245:$i, X1246:$i, X1247:$i]:((~(in @ X1247 @ (setminus @ X1245 @ X1246))=>((in @ X1247 @ X1245)=>(in @ X1247 @ X1246))))=>(![X1248:$i, X1249:$i, X1250:$i]:((~(in @ X1250 @ (setminus @ X1248 @ X1249))=>(~(in @ X1250 @ X1249)=>~(in @ X1250 @ X1248))))=>(![X1251:$i, X1252:$i, X1253:$i]:((~(in @ X1253 @ X1251)=>~(in @ X1253 @ (setminus @ X1251 @ X1252))))=>(![X1888:$i, X1889:$i, X1890:$i]:(((in @ X1890 @ X1889)=>~(in @ X1890 @ (setminus @ X1888 @ X1889))))=>(![X1254:$i, X1255:$i]:((subset @ (setminus @ X1254 @ X1255) @ X1254))=>(![X1256:$i, X1257:$i]:((((setminus @ X1256 @ X1257)=(emptyset))=>(subset @ X1256 @ X1257)))=>(![X1884:$i, X1885:$i, X1886:$i]:(((in @ X1886 @ (symdiff @ X1884 @ X1885))=>![X1887:$o]:((((in @ X1886 @ X1884)=>(~(in @ X1886 @ X1885)=>(X1887)))=>((~(in @ X1886 @ X1884)=>((in @ X1886 @ X1885)=>(X1887)))=>(X1887))))))=>(![X1881:$i, X1882:$i, X1883:$i]:(((in @ X1883 @ X1881)=>(~(in @ X1883 @ X1882)=>(in @ X1883 @ (symdiff @ X1881 @ X1882)))))=>(![X1878:$i, X1879:$i, X1880:$i]:((~(in @ X1880 @ X1878)=>((in @ X1880 @ X1879)=>(in @ X1880 @ (symdiff @ X1878 @ X1879)))))=>(![X1258:$i, X1259:$i, X1260:$i]:(((in @ X1260 @ X1258)=>((in @ X1260 @ X1259)=>~(in @ X1260 @ (symdiff @ X1258 @ X1259)))))=>(![X1875:$i, X1876:$i, X1877:$i]:((~(in @ X1877 @ X1875)=>(~(in @ X1877 @ X1876)=>~(in @ X1877 @ (symdiff @ X1875 @ X1876)))))=>(![X1261:$i, X1262:$i]:((in @ X1262 @ (setadjoin @ X1261 @ (setadjoin @ X1262 @ emptyset))))=>(![X1263:$i, X1264:$i]:((in @ X1263 @ (setunion @ (setadjoin @ (setadjoin @ X1263 @ emptyset) @ (setadjoin @ (setadjoin @ X1263 @ (setadjoin @ X1264 @ emptyset)) @ emptyset)))))=>(![X1873:$i, X1874:$i]:((in @ X1874 @ (setunion @ (setadjoin @ (setadjoin @ X1873 @ emptyset) @ (setadjoin @ (setadjoin @ X1873 @ (setadjoin @ X1874 @ emptyset)) @ emptyset)))))=>(![X1265:$i, X1266:$i]:((iskpair @ (setadjoin @ (setadjoin @ X1265 @ emptyset) @ (setadjoin @ (setadjoin @ X1265 @ (setadjoin @ X1266 @ emptyset)) @ emptyset))))=>(![X1871:$i, X1872:$i]:((iskpair @ (kpair @ X1871 @ X1872)))=>(![X1267:$i, X1268:$i]:(((in @ X1268 @ X1267)=>(subset @ (setadjoin @ X1268 @ emptyset) @ X1267)))=>(![X1869:$i, X1870:$i]:(((in @ X1870 @ X1869)=>(in @ (setadjoin @ X1870 @ emptyset) @ (powerset @ X1869))))=>(![X1269:$i, X1270:$i, X1271:$i]:(((in @ X1271 @ X1269)=>(in @ (setadjoin @ X1271 @ emptyset) @ (powerset @ (binunion @ X1269 @ X1270)))))=>(![X1866:$i, X1867:$i, X1868:$i]:(((in @ X1868 @ (setadjoin @ X1866 @ (setadjoin @ X1867 @ emptyset)))=>(((X1868)=(X1866))|((X1868)=(X1867)))))=>(![X1862:$i, X1863:$i, X1864:$i]:(((in @ X1864 @ X1862)=>![X1865:$i]:(((in @ X1865 @ X1863)=>(subset @ (setadjoin @ X1864 @ (setadjoin @ X1865 @ emptyset)) @ (binunion @ X1862 @ X1863))))))=>(![X1858:$i, X1859:$i, X1860:$i]:(((in @ X1860 @ X1858)=>![X1861:$i]:(((in @ X1861 @ X1859)=>(in @ (setadjoin @ X1860 @ (setadjoin @ X1861 @ emptyset)) @ (powerset @ (binunion @ X1858 @ X1859)))))))=>(![X1854:$i, X1855:$i, X1856:$i]:(((in @ X1856 @ X1854)=>![X1857:$i]:(((in @ X1857 @ X1855)=>(subset @ (setadjoin @ (setadjoin @ X1856 @ emptyset) @ (setadjoin @ (setadjoin @ X1856 @ (setadjoin @ X1857 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1854 @ X1855)))))))=>(![X1272:$i, X1273:$i, X1274:$i]:(((in @ X1274 @ X1272)=>![X1275:$i]:(((in @ X1275 @ X1273)=>(in @ (setadjoin @ (setadjoin @ X1274 @ emptyset) @ (setadjoin @ (setadjoin @ X1274 @ (setadjoin @ X1275 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1272 @ X1273))))))))=>(![X1276:$i, X1277:$i, X1278:$i]:(((in @ X1278 @ X1276)=>![X1279:$i]:(((in @ X1279 @ X1277)=>(in @ (kpair @ X1278 @ X1279) @ (powerset @ (powerset @ (binunion @ X1276 @ X1277))))))))=>(![X1280:$i, X1281:$i, X1282:$i]:(((in @ X1282 @ X1280)=>![X1283:$i]:(((in @ X1283 @ X1281)=>(in @ (kpair @ X1282 @ X1283) @ (cartprod @ X1280 @ X1281))))))=>(![X1284:$i, X1285:$i, X1286:$i]:(((in @ X1286 @ (cartprod @ X1284 @ X1285))=>?[X1287:$i]:(((in @ X1287 @ X1284)&?[X1288:$i]:(((in @ X1288 @ X1285)&((X1286)=(kpair @ X1287 @ X1288))))))))=>(![X1851:$i, X1852:$i, X1853:$i]:(((in @ X1853 @ (cartprod @ X1851 @ X1852))=>(iskpair @ X1853)))=>(![X1289:$i, X1290:$i]:(((in @ X1290 @ (setunion @ X1289))=>?[X1291:$i]:(((in @ X1291 @ X1289)&(in @ X1290 @ X1291)))))=>(![X1292:$i]:((subset @ (setunion @ (setadjoin @ X1292 @ emptyset)) @ X1292))=>(![X1850:$i]:((subset @ X1850 @ (setunion @ (setadjoin @ X1850 @ emptyset))))=>(![X1849:$i]:(((setunion @ (setadjoin @ X1849 @ emptyset))=(X1849)))=>(![X1293:$i, X1294:$i > $o]:((![X1295:$i]:(((in @ X1295 @ X1293)=>![X1296:$i]:(((in @ X1296 @ X1293)=>((X1294 @ X1295)=>((X1294 @ X1296)=>((X1295)=(X1296))))))))=>(?[X1297:$i]:(((in @ X1297 @ X1293)&(X1294 @ X1297)))=>(singleton @ (dsetconstr @ X1293 @ X1294)))))=>(![X1298:$i, X1299:$i > $o]:(((ex1 @ X1298 @ X1299)=>?[X1300:$i]:(((in @ X1300 @ X1298)&(X1299 @ X1300)))))=>(![X1845:$i, X1846:$i > $o, X1847:$i]:(((in @ X1847 @ X1845)=>((X1846 @ X1847)=>(![X1848:$i]:(((in @ X1848 @ X1845)=>((X1846 @ X1848)=>((X1848)=(X1847)))))=>(ex1 @ X1845 @ X1846)))))=>(![X1840:$i, X1841:$i > $o]:((![X1842:$i]:(((in @ X1842 @ X1840)=>![X1843:$i]:(((in @ X1843 @ X1840)=>((X1841 @ X1842)=>((X1841 @ X1843)=>((X1842)=(X1843))))))))=>(?[X1844:$i]:(((in @ X1844 @ X1840)&(X1841 @ X1844)))=>(ex1 @ X1840 @ X1841))))=>(![X1838:$i, X1839:$i]:((((setadjoin @ X1838 @ emptyset)=(setadjoin @ X1839 @ emptyset))=>((X1838)=(X1839))))=>(![X1835:$i, X1836:$i, X1837:$i]:(((in @ (setadjoin @ X1837 @ emptyset) @ (setadjoin @ (setadjoin @ X1835 @ emptyset) @ (setadjoin @ (setadjoin @ X1835 @ (setadjoin @ X1836 @ emptyset)) @ emptyset)))=>((X1835)=(X1837))))=>(![X1301:$i]:(((iskpair @ X1301)=>(singleton @ (dsetconstr @ (setunion @ X1301) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1301)))))))=>(![X1834:$i]:(((singleton @ X1834)=>(in @ (setunion @ X1834) @ X1834)))=>(![X1832:$i, X1833:$i]:(((kfst @ (kpair @ X1832 @ X1833))=(X1832)))=>(![X1302:$i, X1303:$i, X1304:$i]:(((in @ X1304 @ (cartprod @ X1302 @ X1303))=>(in @ (kfst @ X1304) @ X1302)))=>(![X1828:$i, X1829:$i, X1830:$i, X1831:$i]:((((setadjoin @ (setadjoin @ X1828 @ emptyset) @ (setadjoin @ (setadjoin @ X1828 @ (setadjoin @ X1829 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1830 @ emptyset) @ (setadjoin @ (setadjoin @ X1830 @ (setadjoin @ X1831 @ emptyset)) @ emptyset)))=>((X1828)=(X1830))))=>(![X1824:$i, X1825:$i, X1826:$i, X1827:$i]:((((kpair @ X1824 @ X1825)=(kpair @ X1826 @ X1827))=>((X1824)=(X1826))))=>(![X1822:$i, X1823:$i]:((((X1822)=(X1823))=>((setadjoin @ X1822 @ (setadjoin @ X1823 @ emptyset))=(setadjoin @ X1822 @ emptyset))))=>(![X1820:$i, X1821:$i]:((((X1820)=(X1821))=>((setadjoin @ (setadjoin @ X1820 @ emptyset) @ (setadjoin @ (setadjoin @ X1820 @ (setadjoin @ X1821 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1820 @ emptyset) @ emptyset))))=>(![X1305:$i, X1306:$i, X1307:$i, X1308:$i]:((((setadjoin @ (setadjoin @ X1305 @ emptyset) @ (setadjoin @ (setadjoin @ X1305 @ (setadjoin @ X1306 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1307 @ emptyset) @ (setadjoin @ (setadjoin @ X1307 @ (setadjoin @ X1308 @ emptyset)) @ emptyset)))=>(((X1307)=(X1308))=>((X1306)=(X1308)))))=>(![X1817:$i, X1818:$i, X1819:$i]:((((setadjoin @ X1817 @ (setadjoin @ X1818 @ emptyset))=(setadjoin @ X1819 @ emptyset))=>((X1817)=(X1818))))=>(![X1309:$i, X1310:$i, X1311:$i, X1312:$i]:((((setadjoin @ (setadjoin @ X1309 @ emptyset) @ (setadjoin @ (setadjoin @ X1309 @ (setadjoin @ X1310 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1311 @ emptyset) @ (setadjoin @ (setadjoin @ X1311 @ (setadjoin @ X1312 @ emptyset)) @ emptyset)))=>((X1310)=(X1312))))=>(![X1813:$i, X1814:$i, X1815:$i, X1816:$i]:((((kpair @ X1813 @ X1814)=(kpair @ X1815 @ X1816))=>((X1814)=(X1816))))=>(![X1812:$i]:(((iskpair @ X1812)=>(singleton @ (dsetconstr @ (setunion @ X1812) @ (^[Z0/* 3 */:$i]:(((X1812)=(kpair @ (kfst @ X1812) @ Z0))))))))=>(![X1313:$i, X1314:$i]:(((ksnd @ (kpair @ X1313 @ X1314))=(X1314)))=>(![X1811:$i]:(((iskpair @ X1811)=>((kpair @ (kfst @ X1811) @ (ksnd @ X1811))=(X1811))))=>(![X1808:$i, X1809:$i, X1810:$i]:(((in @ X1810 @ (cartprod @ X1808 @ X1809))=>(in @ (ksnd @ X1810) @ X1809)))=>(![X1315:$i, X1316:$i, X1317:$i, X1318:$i]:(((in @ (kpair @ X1317 @ X1318) @ (cartprod @ X1315 @ X1316))=>(in @ X1317 @ X1315)))=>(![X1804:$i, X1805:$i, X1806:$i, X1807:$i]:(((in @ (kpair @ X1806 @ X1807) @ (cartprod @ X1804 @ X1805))=>(in @ X1807 @ X1805)))=>(![X1319:$i, X1320:$i, X1321:$i]:(((in @ X1321 @ X1319)=>![X1322:$i]:(((in @ X1322 @ X1320)=>((kpair @ X1321 @ X1322)=(kpair @ X1321 @ X1322))))))=>(![X1323:$i, X1324:$i, X1325:$i]:(((in @ X1325 @ X1323)=>![X1326:$i]:(((in @ X1326 @ X1324)=>((kfst @ (kpair @ X1325 @ X1326))=(X1325))))))=>(![X1327:$i, X1328:$i, X1329:$i]:(((in @ X1329 @ X1327)=>![X1330:$i]:(((in @ X1330 @ X1328)=>((ksnd @ (kpair @ X1329 @ X1330))=(X1330))))))=>(![X1801:$i, X1802:$i, X1803:$i]:(((in @ X1803 @ (cartprod @ X1801 @ X1802))=>((kpair @ (kfst @ X1803) @ (ksnd @ X1803))=(X1803))))=>(![X1331:$i, X1332:$i, X1333:$i > $i > $o, X1334:$i]:(((in @ X1334 @ X1331)=>![X1335:$i]:(((in @ X1335 @ X1332)=>((X1333 @ X1334 @ X1335)=>(in @ (kpair @ X1334 @ X1335) @ (dpsetconstr @ X1331 @ X1332 @ X1333)))))))=>(![X1798:$i, X1799:$i, X1800:$i > $i > $o]:((subset @ (dpsetconstr @ X1798 @ X1799 @ X1800) @ (cartprod @ X1798 @ X1799)))=>(![X1336:$i, X1337:$i, X1338:$i > $i > $o]:((subset @ (dpsetconstr @ X1336 @ X1337 @ X1338) @ (cartprod @ X1336 @ X1337)))=>(![X1793:$i, X1794:$i, X1795:$i > $i > $o, X1796:$i]:(((in @ X1796 @ X1793)=>![X1797:$i]:(((in @ X1797 @ X1794)=>((in @ (kpair @ X1796 @ X1797) @ (dpsetconstr @ X1793 @ X1794 @ X1795))=>(X1795 @ X1796 @ X1797))))))=>(![X1788:$i, X1789:$i, X1790:$i > $i > $o, X1791:$i, X1792:$i]:(((in @ (kpair @ X1791 @ X1792) @ (dpsetconstr @ X1788 @ X1789 @ X1790))=>(in @ X1791 @ X1788)))=>(![X1339:$i, X1340:$i, X1341:$i > $i > $o, X1342:$i, X1343:$i]:(((in @ (kpair @ X1342 @ X1343) @ (dpsetconstr @ X1339 @ X1340 @ X1341))=>(in @ X1343 @ X1340)))=>(![X1783:$i, X1784:$i, X1785:$i > $i > $o, X1786:$i, X1787:$i]:(((in @ (kpair @ X1786 @ X1787) @ (dpsetconstr @ X1783 @ X1784 @ X1785))=>(X1785 @ X1786 @ X1787)))=>(![X1779:$i, X1780:$i, X1781:$i]:(((func @ X1779 @ X1780 @ X1781)=>![X1782:$i]:(((in @ X1782 @ X1779)=>(singleton @ (dsetconstr @ X1780 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1782 @ Z0) @ X1781)))))))))=>(![X1344:$i, X1345:$i, X1346:$i]:(((func @ X1344 @ X1345 @ X1346)=>![X1347:$i]:(((in @ X1347 @ X1344)=>(in @ (setunion @ (dsetconstr @ X1345 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1347 @ Z0) @ X1346))))) @ X1345)))))=>(![X1348:$i, X1349:$i, X1350:$i]:(((func @ X1348 @ X1349 @ X1350)=>![X1351:$i]:(((in @ X1351 @ X1348)=>(in @ (ap @ X1348 @ X1349 @ X1350 @ X1351) @ X1349)))))=>(![X1352:$i, X1353:$i, X1354:$i]:(((in @ X1354 @ (funcSet @ X1352 @ X1353))=>(func @ X1352 @ X1353 @ X1354)))=>(![X1355:$i, X1356:$i, X1357:$i]:(((in @ X1357 @ (funcSet @ X1355 @ X1356))=>![X1358:$i]:(((in @ X1358 @ X1355)=>(in @ (ap @ X1355 @ X1356 @ X1357 @ X1358) @ X1356)))))=>(![X1776:$i, X1777:$i, X1778:$i]:(((func @ X1776 @ X1777 @ X1778)=>(in @ X1778 @ (funcSet @ X1776 @ X1777))))=>(![X1359:$i, X1360:$i, X1361:$i > $i]:((![X1362:$i]:(((in @ X1362 @ X1359)=>(in @ (X1361 @ X1362) @ X1360)))=>(func @ X1359 @ X1360 @ (dpsetconstr @ X1359 @ X1360 @ (^[Z0/* 3 */:$i]:($eq @ (X1361 @ Z0)))))))=>(![X1772:$i, X1773:$i, X1774:$i > $i]:((![X1775:$i]:(((in @ X1775 @ X1772)=>(in @ (X1774 @ X1775) @ X1773)))=>(func @ X1772 @ X1773 @ (lam @ X1772 @ X1773 @ X1774))))=>(![X1363:$i, X1364:$i, X1365:$i > $i]:((![X1366:$i]:(((in @ X1366 @ X1363)=>(in @ (X1365 @ X1366) @ X1364)))=>(in @ (lam @ X1363 @ X1364 @ X1365) @ (funcSet @ X1363 @ X1364))))=>(![X1765:$i, X1766:$i, X1767:$i]:(((subset @ X1767 @ (cartprod @ X1765 @ X1766))=>![X1768:$i > $o]:((![X1769:$i]:(((in @ X1769 @ X1765)=>![X1770:$i]:(((in @ X1770 @ X1766)=>((in @ (kpair @ X1769 @ X1770) @ X1767)=>(X1768 @ (kpair @ X1769 @ X1770)))))))=>![X1771:$i]:(((in @ X1771 @ X1767)=>(X1768 @ X1771)))))))=>(![X1758:$i, X1759:$i, X1760:$i]:(((subset @ X1760 @ (cartprod @ X1758 @ X1759))=>![X1761:$i > $o]:((![X1762:$i]:(((in @ X1762 @ X1758)=>![X1763:$i]:(((in @ X1763 @ X1759)=>((in @ (kpair @ X1762 @ X1763) @ X1760)=>(X1761 @ (kpair @ X1762 @ X1763)))))))=>![X1764:$i]:(((in @ X1764 @ X1760)=>(X1761 @ X1764)))))))=>(![X1754:$i, X1755:$i > $o]:(((ex1 @ X1754 @ X1755)=>![X1756:$i]:(((in @ X1756 @ X1754)=>![X1757:$i]:(((in @ X1757 @ X1754)=>((X1755 @ X1756)=>((X1755 @ X1757)=>((X1756)=(X1757))))))))))=>(![X1750:$i, X1751:$i, X1752:$i]:(((func @ X1750 @ X1751 @ X1752)=>![X1753:$i]:(((in @ X1753 @ X1750)=>(in @ (kpair @ X1753 @ (ap @ X1750 @ X1751 @ X1752 @ X1753)) @ X1752)))))=>(![X1746:$i, X1747:$i, X1748:$i]:(((in @ X1748 @ (funcSet @ X1746 @ X1747))=>![X1749:$i]:(((in @ X1749 @ X1746)=>(in @ (kpair @ X1749 @ (ap @ X1746 @ X1747 @ X1748 @ X1749)) @ X1748)))))=>(![X1367:$i, X1368:$i, X1369:$i]:(((func @ X1367 @ X1368 @ X1369)=>![X1370:$i]:(((in @ X1370 @ X1367)=>![X1371:$i]:(((in @ X1371 @ X1368)=>((in @ (kpair @ X1370 @ X1371) @ X1369)=>((ap @ X1367 @ X1368 @ X1369 @ X1370)=(X1371)))))))))=>(![X1372:$i, X1373:$i, X1374:$i]:(((func @ X1372 @ X1373 @ X1374)=>![X1375:$i]:(((func @ X1372 @ X1373 @ X1375)=>(![X1376:$i]:(((in @ X1376 @ X1372)=>((ap @ X1372 @ X1373 @ X1374 @ X1376)=(ap @ X1372 @ X1373 @ X1375 @ X1376))))=>![X1377:$i]:(((in @ X1377 @ X1372)=>![X1378:$i]:(((in @ X1378 @ X1373)=>((in @ (kpair @ X1377 @ X1378) @ X1375)=>(in @ (kpair @ X1377 @ X1378) @ X1374)))))))))))=>(![X1379:$i, X1380:$i, X1381:$i]:(((in @ X1381 @ (funcSet @ X1379 @ X1380))=>![X1382:$i]:(((in @ X1382 @ X1379)=>![X1383:$i]:(((in @ X1383 @ X1380)=>((in @ (kpair @ X1382 @ X1383) @ X1381)=>((ap @ X1379 @ X1380 @ X1381 @ X1382)=(X1383)))))))))=>(![X1740:$i, X1741:$i, X1742:$i]:(((subset @ X1742 @ (cartprod @ X1740 @ X1741))=>![X1743:$i]:(((subset @ X1743 @ (cartprod @ X1740 @ X1741))=>(![X1744:$i]:(((in @ X1744 @ X1740)=>![X1745:$i]:(((in @ X1745 @ X1741)=>((in @ (kpair @ X1744 @ X1745) @ X1742)=>(in @ (kpair @ X1744 @ X1745) @ X1743))))))=>(subset @ X1742 @ X1743))))))=>(![X1732:$i, X1733:$i, X1734:$i]:(((subset @ X1734 @ (cartprod @ X1732 @ X1733))=>![X1735:$i]:(((subset @ X1735 @ (cartprod @ X1732 @ X1733))=>(![X1736:$i]:(((in @ X1736 @ X1732)=>![X1737:$i]:(((in @ X1737 @ X1733)=>((in @ (kpair @ X1736 @ X1737) @ X1734)=>(in @ (kpair @ X1736 @ X1737) @ X1735))))))=>(![X1738:$i]:(((in @ X1738 @ X1732)=>![X1739:$i]:(((in @ X1739 @ X1733)=>((in @ (kpair @ X1738 @ X1739) @ X1735)=>(in @ (kpair @ X1738 @ X1739) @ X1734))))))=>((X1734)=(X1735))))))))=>(![X1727:$i, X1728:$i, X1729:$i]:(((func @ X1727 @ X1728 @ X1729)=>![X1730:$i]:(((func @ X1727 @ X1728 @ X1730)=>(![X1731:$i]:(((in @ X1731 @ X1727)=>((ap @ X1727 @ X1728 @ X1729 @ X1731)=(ap @ X1727 @ X1728 @ X1730 @ X1731))))=>((X1729)=(X1730)))))))=>(![X1722:$i, X1723:$i, X1724:$i]:(((in @ X1724 @ (funcSet @ X1722 @ X1723))=>![X1725:$i]:(((in @ X1725 @ (funcSet @ X1722 @ X1723))=>(![X1726:$i]:(((in @ X1726 @ X1722)=>((ap @ X1722 @ X1723 @ X1724 @ X1726)=(ap @ X1722 @ X1723 @ X1725 @ X1726))))=>((X1724)=(X1725)))))))=>(![X1384:$i, X1385:$i, X1386:$i]:(((in @ X1386 @ (funcSet @ X1384 @ X1385))=>![X1387:$i]:(((in @ X1387 @ X1384)=>((ap @ X1384 @ X1385 @ X1386 @ X1387)=(ap @ X1384 @ X1385 @ X1386 @ X1387))))))=>(![X1718:$i, X1719:$i, X1720:$i]:(((func @ X1718 @ X1719 @ X1720)=>![X1721:$i]:(((in @ X1721 @ X1718)=>((ap @ X1718 @ X1719 @ X1720 @ X1721)=(ap @ X1718 @ X1719 @ X1720 @ X1721))))))=>(![X1713:$i, X1714:$i, X1715:$i > $i]:((![X1716:$i]:(((in @ X1716 @ X1713)=>(in @ (X1715 @ X1716) @ X1714)))=>![X1717:$i]:(((in @ X1717 @ X1713)=>((ap @ X1713 @ X1714 @ (lam @ X1713 @ X1714 @ X1715) @ X1717)=(X1715 @ X1717))))))=>(![X1710:$i, X1711:$i, X1712:$i]:(((func @ X1710 @ X1711 @ X1712)=>((lam @ X1710 @ X1711 @ (ap @ X1710 @ X1711 @ X1712))=(X1712))))=>(![X1388:$i, X1389:$i, X1390:$i > $i]:((![X1391:$i]:(((in @ X1391 @ X1388)=>(in @ (X1390 @ X1391) @ X1389)))=>((lam @ X1388 @ X1389 @ X1390)=(lam @ X1388 @ X1389 @ X1390))))=>(![X1392:$i, X1393:$i, X1394:$i > $i]:((![X1395:$i]:(((in @ X1395 @ X1392)=>(in @ (X1394 @ X1395) @ X1393)))=>![X1396:$i]:(((in @ X1396 @ X1392)=>((ap @ X1392 @ X1393 @ (lam @ X1392 @ X1393 @ X1394) @ X1396)=(X1394 @ X1396))))))=>(![X1397:$i, X1398:$i, X1399:$i]:(((in @ X1399 @ (funcSet @ X1397 @ X1398))=>((lam @ X1397 @ X1398 @ (ap @ X1397 @ X1398 @ X1399))=(X1399))))=>(![X1706:$i, X1707:$o, X1708:$i]:(((in @ X1708 @ X1706)=>![X1709:$i]:(((in @ X1709 @ X1706)=>(~(X1707)=>(in @ X1709 @ (dsetconstr @ X1706 @ (^[Z0/* 9 */:$i]:((((X1707)&((Z0)=(X1708)))|(~((X1707))&((Z0)=(X1709)))))))))))))=>(![X1400:$i, X1401:$o, X1402:$i]:(((in @ X1402 @ X1400)=>![X1403:$i]:(((in @ X1403 @ X1400)=>(~(X1401)=>((dsetconstr @ X1400 @ (^[Z0/* 9 */:$i]:((((X1401)&((Z0)=(X1402)))|(~((X1401))&((Z0)=(X1403)))))))=(setadjoin @ X1403 @ emptyset)))))))=>(![X1702:$i, X1703:$o, X1704:$i]:(((in @ X1704 @ X1702)=>![X1705:$i]:(((in @ X1705 @ X1702)=>((X1703)=>(in @ X1704 @ (dsetconstr @ X1702 @ (^[Z0/* 9 */:$i]:((((X1703)&((Z0)=(X1704)))|(~((X1703))&((Z0)=(X1705)))))))))))))=>(![X1698:$i, X1699:$o, X1700:$i]:(((in @ X1700 @ X1698)=>![X1701:$i]:(((in @ X1701 @ X1698)=>((X1699)=>((dsetconstr @ X1698 @ (^[Z0/* 9 */:$i]:((((X1699)&((Z0)=(X1700)))|(~((X1699))&((Z0)=(X1701)))))))=(setadjoin @ X1700 @ emptyset)))))))=>(![X1404:$i, X1405:$o, X1406:$i]:(((in @ X1406 @ X1404)=>![X1407:$i]:(((in @ X1407 @ X1404)=>(singleton @ (dsetconstr @ X1404 @ (^[Z0/* 9 */:$i]:((((X1405)&((Z0)=(X1406)))|(~((X1405))&((Z0)=(X1407))))))))))))=>(![X1694:$i, X1695:$o, X1696:$i]:(((in @ X1696 @ X1694)=>![X1697:$i]:(((in @ X1697 @ X1694)=>(in @ (if @ X1694 @ ((X1695)) @ X1696 @ X1697) @ X1694)))))=>(![X1408:$i]:(((singleton @ X1408)=>![X1409:$i]:(((in @ X1409 @ X1408)=>((setunion @ X1408)=(X1409))))))=>(![X1690:$i, X1691:$o, X1692:$i]:(((in @ X1692 @ X1690)=>![X1693:$i]:(((in @ X1693 @ X1690)=>((X1691)=>((if @ X1690 @ ((X1691)) @ X1692 @ X1693)=(X1692)))))))=>(![X1686:$i, X1687:$o, X1688:$i]:(((in @ X1688 @ X1686)=>![X1689:$i]:(((in @ X1689 @ X1686)=>(~(X1687)=>((if @ X1686 @ ((X1687)) @ X1688 @ X1689)=(X1689)))))))=>(![X1410:$i, X1411:$o, X1412:$i]:(((in @ X1412 @ X1410)=>![X1413:$i]:(((in @ X1413 @ X1410)=>(in @ (if @ X1410 @ ((X1411)) @ X1412 @ X1413) @ (setadjoin @ X1412 @ (setadjoin @ X1413 @ emptyset)))))))=>(![X1683:$i, X1684:$i]:(((in @ X1684 @ (powerset @ X1683))=>![X1685:$i]:(((in @ X1685 @ (powerset @ X1683))=>(in @ (binintersect @ X1684 @ X1685) @ (powerset @ X1683))))))=>(![X1414:$i, X1415:$i]:(((in @ X1415 @ (powerset @ X1414))=>![X1416:$i]:(((in @ X1416 @ (powerset @ X1414))=>(in @ (binunion @ X1415 @ X1416) @ (powerset @ X1414))))))=>(![X1417:$i, X1418:$i]:(((in @ X1418 @ (powerset @ X1417))=>(in @ (powerset @ X1418) @ (powerset @ (powerset @ X1417)))))=>(![X1419:$i, X1420:$i]:(((in @ X1420 @ (powerset @ X1419))=>![X1421:$i]:(((in @ X1421 @ (powerset @ X1419))=>(in @ (setminus @ X1420 @ X1421) @ (powerset @ X1419))))))=>(![X1681:$i, X1682:$i]:(((in @ X1682 @ (powerset @ X1681))=>(in @ (setminus @ X1681 @ X1682) @ (powerset @ X1681))))=>(![X1676:$i, X1677:$i]:(((in @ X1677 @ (powerset @ X1676))=>![X1678:$i]:(((in @ X1678 @ (powerset @ X1676))=>(![X1679:$i]:(((in @ X1679 @ X1676)=>((in @ X1679 @ X1677)=>(in @ X1679 @ X1678))))=>(![X1680:$i]:(((in @ X1680 @ X1676)=>((in @ X1680 @ X1678)=>(in @ X1680 @ X1677))))=>((X1677)=(X1678))))))))=>(![X1672:$i, X1673:$i]:(((in @ X1673 @ (powerset @ X1672))=>![X1674:$i]:(((in @ X1674 @ (powerset @ X1672))=>(![X1675:$i]:(((in @ X1675 @ X1672)=>((in @ X1675 @ X1673)=>(in @ X1675 @ X1674))))=>(subset @ X1673 @ X1674))))))=>(![X1668:$i, X1669:$i]:(((in @ X1669 @ (powerset @ X1668))=>![X1670:$i]:(((in @ X1670 @ (powerset @ X1668))=>(![X1671:$i]:(((in @ X1671 @ X1668)=>((in @ X1671 @ X1669)=>(in @ X1671 @ X1670))))=>(in @ X1669 @ (powerset @ X1670)))))))=>(![X1664:$i, X1665:$i]:(((in @ X1665 @ (powerset @ X1664))=>![X1666:$i]:(((in @ X1666 @ (powerset @ X1664))=>![X1667:$i]:(((in @ X1667 @ X1664)=>((in @ X1665 @ (powerset @ X1666))=>((in @ X1667 @ X1665)=>(in @ X1667 @ X1666)))))))))=>(![X1661:$i, X1662:$i]:(((in @ X1662 @ (powerset @ X1661))=>![X1663:$i]:(((in @ X1663 @ X1661)=>((in @ X1663 @ X1662)=>~(in @ X1663 @ (setminus @ X1661 @ X1662)))))))=>(![X1422:$i, X1423:$i]:(((in @ X1423 @ (powerset @ X1422))=>![X1424:$i]:(((in @ X1424 @ X1422)=>(~(in @ X1424 @ (setminus @ X1422 @ X1423))=>(in @ X1424 @ X1423))))))=>(![X1657:$i, X1658:$i]:(((in @ X1658 @ (powerset @ X1657))=>![X1659:$i]:(((in @ X1659 @ (powerset @ X1657))=>![X1660:$i]:(((in @ X1660 @ X1657)=>(~(in @ X1660 @ X1658)=>~(in @ X1660 @ (binintersect @ X1658 @ X1659)))))))))=>(![X1425:$i, X1426:$i]:(((in @ X1426 @ (powerset @ X1425))=>![X1427:$i]:(((in @ X1427 @ (powerset @ X1425))=>![X1428:$i]:(((in @ X1428 @ X1425)=>(~(in @ X1428 @ X1427)=>~(in @ X1428 @ (binintersect @ X1426 @ X1427)))))))))=>(![X1429:$i, X1430:$i]:(((in @ X1430 @ (powerset @ X1429))=>![X1431:$i]:(((in @ X1431 @ (powerset @ X1429))=>![X1432:$i]:(((in @ X1432 @ X1429)=>((subset @ X1430 @ (setminus @ X1429 @ X1431))=>((in @ X1432 @ X1431)=>~(in @ X1432 @ X1430)))))))))=>(![X1653:$i, X1654:$i]:(((in @ X1654 @ (powerset @ X1653))=>![X1655:$i]:(((in @ X1655 @ (powerset @ X1653))=>![X1656:$i]:(((in @ X1656 @ X1653)=>((subset @ X1654 @ X1655)=>(~(in @ X1656 @ X1655)=>~(in @ X1656 @ X1654)))))))))=>(![X1650:$i, X1651:$i]:(((in @ X1651 @ (powerset @ X1650))=>![X1652:$i]:(((in @ X1652 @ (powerset @ X1650))=>((subset @ X1651 @ X1652)=>(subset @ (setminus @ X1650 @ X1652) @ (setminus @ X1650 @ X1651)))))))=>(![X1647:$i, X1648:$i]:(((in @ X1648 @ (powerset @ X1647))=>![X1649:$i]:(((in @ X1649 @ (powerset @ X1647))=>((subset @ (setminus @ X1647 @ X1649) @ (setminus @ X1647 @ X1648))=>(subset @ X1648 @ X1649))))))=>(![X1644:$i, X1645:$i]:(((in @ X1645 @ (powerset @ X1644))=>![X1646:$i]:(((in @ X1646 @ X1644)=>((in @ X1646 @ X1645)=>(in @ X1646 @ (setminus @ X1644 @ (setminus @ X1644 @ X1645))))))))=>(![X1433:$i, X1434:$i]:(((in @ X1434 @ (powerset @ X1433))=>![X1435:$i]:(((in @ X1435 @ X1433)=>((in @ X1435 @ (setminus @ X1433 @ (setminus @ X1433 @ X1434)))=>(in @ X1435 @ X1434))))))=>(![X1436:$i, X1437:$i]:(((in @ X1437 @ (powerset @ X1436))=>(subset @ X1437 @ (setminus @ X1436 @ (setminus @ X1436 @ X1437)))))=>(![X1642:$i, X1643:$i]:(((in @ X1643 @ (powerset @ X1642))=>(subset @ (setminus @ X1642 @ (setminus @ X1642 @ X1643)) @ X1643)))=>(![X1438:$i, X1439:$i]:(((in @ X1439 @ (powerset @ X1438))=>((X1439)=(setminus @ X1438 @ (setminus @ X1438 @ X1439)))))=>(![X1440:$i, X1441:$i]:(((in @ X1441 @ (powerset @ X1440))=>![X1442:$i]:(((in @ X1442 @ (powerset @ X1440))=>![X1443:$i]:(((in @ X1443 @ X1440)=>((in @ X1443 @ (setminus @ X1440 @ X1441))=>~(in @ X1443 @ (binintersect @ X1441 @ X1442)))))))))=>(![X1444:$i, X1445:$i]:(((in @ X1445 @ (powerset @ X1444))=>![X1446:$i]:(((in @ X1446 @ (powerset @ X1444))=>![X1447:$i]:(((in @ X1447 @ X1444)=>((in @ X1447 @ (setminus @ X1444 @ X1445))=>(in @ X1447 @ (setminus @ X1444 @ (binintersect @ X1445 @ X1446))))))))))=>(![X1639:$i, X1640:$i]:(((in @ X1640 @ (powerset @ X1639))=>![X1641:$i]:(((in @ X1641 @ (powerset @ X1639))=>(subset @ (setminus @ X1639 @ X1640) @ (setminus @ X1639 @ (binintersect @ X1640 @ X1641)))))))=>(![X1636:$i, X1637:$i]:(((in @ X1637 @ (powerset @ X1636))=>![X1638:$i]:(((in @ X1638 @ (powerset @ X1636))=>(in @ (setminus @ X1636 @ X1637) @ (powerset @ (setminus @ X1636 @ (binintersect @ X1637 @ X1638))))))))=>(![X1448:$i, X1449:$i]:(((in @ X1449 @ (powerset @ X1448))=>![X1450:$i]:(((in @ X1450 @ (powerset @ X1448))=>((subset @ X1449 @ (setminus @ X1448 @ X1450))=>![X1451:$i]:(((in @ X1451 @ X1448)=>((in @ X1451 @ X1450)=>(in @ X1451 @ (setminus @ X1448 @ X1449))))))))))=>(![X1633:$i, X1634:$i]:(((in @ X1634 @ (powerset @ X1633))=>![X1635:$i]:(((in @ X1635 @ (powerset @ X1633))=>((subset @ X1634 @ (setminus @ X1633 @ X1635))=>(subset @ X1635 @ (setminus @ X1633 @ X1634)))))))=>(![X1629:$i, X1630:$i]:(((in @ X1630 @ (powerset @ X1629))=>![X1631:$i]:(((in @ X1631 @ (powerset @ X1629))=>![X1632:$i]:(((in @ X1632 @ X1629)=>(~(in @ X1632 @ (binunion @ X1630 @ X1631))=>~(in @ X1632 @ X1630))))))))=>(![X1452:$i, X1453:$i]:(((in @ X1453 @ (powerset @ X1452))=>![X1454:$i]:(((in @ X1454 @ (powerset @ X1452))=>![X1455:$i]:(((in @ X1455 @ X1452)=>(~(in @ X1455 @ (binunion @ X1453 @ X1454))=>~(in @ X1455 @ X1454))))))))=>(![X1456:$i, X1457:$i]:(((in @ X1457 @ (powerset @ X1456))=>![X1458:$i]:(((in @ X1458 @ (powerset @ X1456))=>![X1459:$i]:(((in @ X1459 @ (powerset @ X1456))=>![X1460:$i]:(((in @ X1460 @ X1456)=>((in @ X1460 @ (binintersect @ X1457 @ X1458))=>(in @ X1460 @ (binunion @ X1457 @ X1459)))))))))))=>(![X1624:$i, X1625:$i]:(((in @ X1625 @ (powerset @ X1624))=>![X1626:$i]:(((in @ X1626 @ (powerset @ X1624))=>![X1627:$i]:(((in @ X1627 @ (powerset @ X1624))=>![X1628:$i]:(((in @ X1628 @ X1624)=>((in @ X1628 @ (binintersect @ X1625 @ X1626))=>(in @ X1628 @ (binunion @ X1626 @ X1627)))))))))))=>(![X1619:$i, X1620:$i]:(((in @ X1620 @ (powerset @ X1619))=>![X1621:$i]:(((in @ X1621 @ (powerset @ X1619))=>![X1622:$i]:(((in @ X1622 @ (powerset @ X1619))=>![X1623:$i]:(((in @ X1623 @ X1619)=>((in @ X1623 @ (binintersect @ X1620 @ X1621))=>(in @ X1623 @ (binintersect @ (binunion @ X1620 @ X1622) @ (binunion @ X1621 @ X1622))))))))))))=>(![X1615:$i, X1616:$i]:(((in @ X1616 @ (powerset @ X1615))=>![X1617:$i]:(((in @ X1617 @ (powerset @ X1615))=>![X1618:$i]:(((in @ X1618 @ (powerset @ X1615))=>(in @ (binintersect @ X1616 @ X1617) @ (powerset @ (binintersect @ (binunion @ X1616 @ X1618) @ (binunion @ X1617 @ X1618))))))))))=>(![X1611:$i, X1612:$i]:(((in @ X1612 @ (powerset @ X1611))=>![X1613:$i]:(((in @ X1613 @ (powerset @ X1611))=>![X1614:$i]:(((in @ X1614 @ X1611)=>((in @ X1614 @ (setminus @ X1611 @ (binunion @ X1612 @ X1613)))=>~(in @ X1614 @ X1612))))))))=>(![X1607:$i, X1608:$i]:(((in @ X1608 @ (powerset @ X1607))=>![X1609:$i]:(((in @ X1609 @ (powerset @ X1607))=>![X1610:$i]:(((in @ X1610 @ X1607)=>((in @ X1610 @ (setminus @ X1607 @ (binunion @ X1608 @ X1609)))=>(in @ X1610 @ (setminus @ X1607 @ X1608)))))))))=>(![X1461:$i, X1462:$i]:(((in @ X1462 @ (powerset @ X1461))=>![X1463:$i]:(((in @ X1463 @ (powerset @ X1461))=>![X1464:$o, X1465:$i]:(((in @ X1465 @ X1461)=>((in @ X1465 @ (binunion @ X1462 @ X1463))=>(((in @ X1465 @ X1462)=>(X1464))=>(((in @ X1465 @ X1463)=>(X1464))=>(X1464))))))))))=>(![X1603:$i, X1604:$i]:(((in @ X1604 @ (powerset @ X1603))=>![X1605:$i]:(((in @ X1605 @ (powerset @ X1603))=>![X1606:$i]:(((in @ X1606 @ X1603)=>(~(in @ X1606 @ X1604)=>(~(in @ X1606 @ X1605)=>~(in @ X1606 @ (binunion @ X1604 @ X1605))))))))))=>(![X1599:$i, X1600:$i]:(((in @ X1600 @ (powerset @ X1599))=>![X1601:$i]:(((in @ X1601 @ (powerset @ X1599))=>![X1602:$i]:(((in @ X1602 @ X1599)=>((in @ X1602 @ (setminus @ X1599 @ (binunion @ X1600 @ X1601)))=>(in @ X1602 @ (setminus @ X1599 @ X1600)))))))))=>(![X1466:$i, X1467:$i]:(((in @ X1467 @ (powerset @ X1466))=>![X1468:$i]:(((in @ X1468 @ (powerset @ X1466))=>(in @ (setminus @ X1466 @ (binunion @ X1467 @ X1468)) @ (powerset @ (setminus @ X1466 @ X1467)))))))=>(![X1595:$i, X1596:$i]:(((in @ X1596 @ (powerset @ X1595))=>![X1597:$i]:(((in @ X1597 @ (powerset @ X1595))=>![X1598:$i]:(((in @ X1598 @ X1595)=>((in @ X1598 @ (setminus @ X1595 @ (binunion @ X1596 @ X1597)))=>(in @ X1598 @ (setminus @ X1595 @ X1597)))))))))=>(![X1469:$i, X1470:$i]:(((in @ X1470 @ (powerset @ X1469))=>![X1471:$i]:(((in @ X1471 @ (powerset @ X1469))=>![X1472:$i]:(((in @ X1472 @ X1469)=>((in @ X1472 @ (setminus @ X1469 @ (binintersect @ X1470 @ X1471)))=>(in @ X1472 @ (binunion @ (setminus @ X1469 @ X1470) @ (setminus @ X1469 @ X1471))))))))))=>(![X1591:$i, X1592:$i]:(((in @ X1592 @ (powerset @ X1591))=>![X1593:$i]:(((in @ X1593 @ (powerset @ X1591))=>![X1594:$i]:(((in @ X1594 @ X1591)=>((in @ X1594 @ (binunion @ (setminus @ X1591 @ X1592) @ (setminus @ X1591 @ X1593)))=>(in @ X1594 @ (setminus @ X1591 @ (binintersect @ X1592 @ X1593))))))))))=>(![X1588:$i, X1589:$i]:(((in @ X1589 @ (powerset @ X1588))=>![X1590:$i]:(((in @ X1590 @ (powerset @ X1588))=>((setminus @ X1588 @ (binintersect @ X1589 @ X1590))=(binunion @ (setminus @ X1588 @ X1589) @ (setminus @ X1588 @ X1590)))))))=>(![X1584:$i, X1585:$i]:(((in @ X1585 @ (powerset @ X1584))=>![X1586:$i]:(((in @ X1586 @ (powerset @ X1584))=>![X1587:$i]:(((in @ X1587 @ X1584)=>((in @ X1587 @ (setminus @ X1584 @ (binunion @ X1585 @ X1586)))=>(in @ X1587 @ (binintersect @ (setminus @ X1584 @ X1585) @ (setminus @ X1584 @ X1586))))))))))=>(![X1473:$i, X1474:$i]:(((in @ X1474 @ (powerset @ X1473))=>![X1475:$i]:(((in @ X1475 @ (powerset @ X1473))=>![X1476:$i]:(((in @ X1476 @ X1473)=>((in @ X1476 @ (setminus @ X1473 @ X1474))=>((in @ X1476 @ (setminus @ X1473 @ X1475))=>(in @ X1476 @ (setminus @ X1473 @ (binunion @ X1474 @ X1475)))))))))))=>(![X1477:$i, X1478:$i]:(((in @ X1478 @ (powerset @ X1477))=>![X1479:$i]:(((in @ X1479 @ (powerset @ X1477))=>![X1480:$i]:(((in @ X1480 @ X1477)=>((in @ X1480 @ (binintersect @ (setminus @ X1477 @ X1478) @ (setminus @ X1477 @ X1479)))=>(in @ X1480 @ (setminus @ X1477 @ (binunion @ X1478 @ X1479))))))))))=>(![X1581:$i, X1582:$i]:(((in @ X1582 @ (powerset @ X1581))=>![X1583:$i]:(((in @ X1583 @ (powerset @ X1581))=>((setminus @ X1581 @ (binunion @ X1582 @ X1583))=(binintersect @ (setminus @ X1581 @ X1582) @ (setminus @ X1581 @ X1583)))))))=>(![X1481:$i, X1482:$i]:(((in @ X1482 @ (powerset @ X1481))=>![X1483:$i]:(((in @ X1483 @ (powerset @ X1481))=>![X1484:$i]:(((in @ X1484 @ (binintersect @ X1482 @ X1483))=>(in @ X1484 @ X1481)))))))=>(![X1485:$i, X1486:$i]:(((in @ X1486 @ (powerset @ X1485))=>![X1487:$i]:(((in @ X1487 @ (powerset @ X1485))=>![X1488:$i]:(((in @ X1488 @ (powerset @ X1485))=>((subset @ X1486 @ X1488)=>(subset @ (binintersect @ X1486 @ X1487) @ X1488))))))))=>(![X1489:$i, X1490:$i]:(((in @ X1490 @ (powerset @ X1489))=>![X1491:$i]:(((in @ X1491 @ (powerset @ X1489))=>![X1492:$i]:(((in @ X1492 @ (powerset @ X1489))=>((subset @ X1491 @ X1492)=>(subset @ (binintersect @ X1490 @ X1491) @ X1492))))))))=>(![X1577:$i, X1578:$i]:(((in @ X1578 @ (powerset @ X1577))=>![X1579:$i]:(((in @ X1579 @ (powerset @ X1577))=>![X1580:$i]:(((in @ X1580 @ (powerset @ X1577))=>((subset @ X1578 @ X1579)=>((subset @ X1578 @ X1580)=>(subset @ X1578 @ (binintersect @ X1579 @ X1580))))))))))=>(![X1493:$i, X1494:$i]:(((in @ X1494 @ (powerset @ X1493))=>![X1495:$i]:(((in @ X1495 @ (powerset @ X1493))=>![X1496:$i]:(((in @ X1496 @ (powerset @ X1493))=>![X1497:$i]:(((in @ X1497 @ (powerset @ X1493))=>((subset @ X1494 @ X1496)=>((subset @ X1495 @ X1497)=>(subset @ (binintersect @ X1494 @ X1495) @ (binintersect @ X1496 @ X1497))))))))))))=>(![X1574:$i, X1575:$i]:(((in @ X1575 @ (powerset @ X1574))=>![X1576:$i]:(((in @ X1576 @ (powerset @ X1574))=>(in @ (setminus @ X1574 @ X1575) @ (powerset @ (setminus @ X1574 @ (binintersect @ X1575 @ X1576))))))))=>(![X1498:$i, X1499:$i]:(((in @ X1499 @ (powerset @ X1498))=>![X1500:$i]:(((in @ X1500 @ (powerset @ X1498))=>![X1501:$i]:(((in @ X1501 @ (powerset @ X1498))=>![X1502:$i]:(((in @ X1502 @ (powerset @ X1498))=>((setminus @ X1498 @ (binintersect @ (binunion @ X1499 @ X1500) @ (binunion @ X1501 @ X1502)))=(binunion @ (binintersect @ (setminus @ X1498 @ X1499) @ (setminus @ X1498 @ X1500)) @ (binintersect @ (setminus @ X1498 @ X1501) @ (setminus @ X1498 @ X1502))))))))))))=>(![X1503:$i, X1504:$i]:(((in @ X1504 @ (powerset @ X1503))=>![X1505:$i]:(((in @ X1505 @ (powerset @ X1503))=>![X1506:$i]:(((in @ X1506 @ (powerset @ X1503))=>(in @ (binintersect @ X1504 @ X1505) @ (powerset @ (binintersect @ (binunion @ X1504 @ X1506) @ (binunion @ X1505 @ X1506))))))))))=>(![X1571:$i, X1572:$i]:(((in @ X1572 @ (powerset @ X1571))=>![X1573:$i]:(((in @ X1573 @ (powerset @ X1571))=>((subset @ X1572 @ (setminus @ X1571 @ X1573))=>(subset @ X1573 @ (setminus @ X1571 @ X1572)))))))=>(![X1568:$i, X1569:$i]:(((in @ X1569 @ (powerset @ X1568))=>![X1570:$i]:(((in @ X1570 @ (powerset @ X1568))=>(in @ (setminus @ X1568 @ (binunion @ X1569 @ X1570)) @ (powerset @ (setminus @ X1568 @ X1569)))))))=>(![X1562:$i, X1563:$i]:(((subset @ X1563 @ (cartprod @ X1562 @ X1562))=>![X1564:$i > $o]:((![X1565:$i]:(((in @ X1565 @ X1562)=>![X1566:$i]:(((in @ X1566 @ X1562)=>((in @ (kpair @ X1565 @ X1566) @ X1563)=>(X1564 @ (kpair @ X1565 @ X1566)))))))=>![X1567:$i]:(((in @ X1567 @ X1563)=>(X1564 @ X1567)))))))=>(![X1507:$i, X1508:$i]:(((in @ X1508 @ (breln1Set @ X1507))=>(subset @ X1508 @ (cartprod @ X1507 @ X1507))))=>(![X1554:$i, X1555:$i, X1556:$i > $i > $o]:((![X1557:$i]:(((in @ X1557 @ X1554)=>?[X1558:$i]:(((in @ X1558 @ X1555)&(X1556 @ X1557 @ X1558)))))=>![X1559:$i]:(((in @ X1559 @ (breln1Set @ X1555))=>((reflwellordering @ X1555 @ X1559)=>![X1560:$i]:(((in @ X1560 @ X1554)=>(singleton @ (dsetconstr @ X1555 @ (^[Z0/* 8 */:$i]:((X1556 @ X1560 @ Z0&![X1561:$i]:(((in @ X1561 @ X1555)=>(X1556 @ X1560 @ X1561=>(in @ (kpair @ Z0 @ X1561) @ X1559))))))))))))))))=>(![X1552:$i, X1553:$i > $i > $o]:((subset @ (dpsetconstr @ X1552 @ X1552 @ X1553) @ (cartprod @ X1552 @ X1552)))=>(![X1509:$i, X1510:$i]:(((subset @ X1510 @ (cartprod @ X1509 @ X1509))=>![X1511:$i > $o]:((![X1512:$i]:(((in @ X1512 @ X1509)=>![X1513:$i]:(((in @ X1513 @ X1509)=>((in @ (kpair @ X1512 @ X1513) @ X1510)=>(X1511 @ (kpair @ X1512 @ X1513)))))))=>![X1514:$i]:(((in @ X1514 @ X1510)=>(X1511 @ X1514)))))))=>(![X1515:$i, X1516:$i]:(((subset @ X1516 @ (cartprod @ X1515 @ X1515))=>![X1517:$i]:(((subset @ X1517 @ (cartprod @ X1515 @ X1515))=>(![X1518:$i]:(((in @ X1518 @ X1515)=>![X1519:$i]:(((in @ X1519 @ X1515)=>((in @ (kpair @ X1518 @ X1519) @ X1516)=>(in @ (kpair @ X1518 @ X1519) @ X1517))))))=>(subset @ X1516 @ X1517))))))=>(![X1545:$i, X1546:$i]:(((subset @ X1546 @ (cartprod @ X1545 @ X1545))=>![X1547:$i]:(((subset @ X1547 @ (cartprod @ X1545 @ X1545))=>(![X1548:$i]:(((in @ X1548 @ X1545)=>![X1549:$i]:(((in @ X1549 @ X1545)=>((in @ (kpair @ X1548 @ X1549) @ X1546)=>(in @ (kpair @ X1548 @ X1549) @ X1547))))))=>(![X1550:$i]:(((in @ X1550 @ X1545)=>![X1551:$i]:(((in @ X1551 @ X1545)=>((in @ (kpair @ X1550 @ X1551) @ X1547)=>(in @ (kpair @ X1550 @ X1551) @ X1546))))))=>((X1546)=(X1547))))))))=>(![X1543:$i, X1544:$i]:(((subset @ X1544 @ (cartprod @ X1543 @ X1543))=>(subset @ (breln1invset @ X1543 @ X1544) @ (cartprod @ X1543 @ X1543))))=>(![X1520:$i, X1521:$i]:(((subset @ X1521 @ (cartprod @ X1520 @ X1520))=>![X1522:$i]:(((in @ X1522 @ X1520)=>![X1523:$i]:(((in @ X1523 @ X1520)=>((in @ (kpair @ X1522 @ X1523) @ X1521)=>(in @ (kpair @ X1523 @ X1522) @ (breln1invset @ X1520 @ X1521)))))))))=>(![X1524:$i, X1525:$i]:(((subset @ X1525 @ (cartprod @ X1524 @ X1524))=>![X1526:$i]:(((in @ X1526 @ X1524)=>![X1527:$i]:(((in @ X1527 @ X1524)=>((in @ (kpair @ X1527 @ X1526) @ (breln1invset @ X1524 @ X1525))=>(in @ (kpair @ X1526 @ X1527) @ X1525))))))))=>(![X1528:$i, X1529:$i]:(((subset @ X1529 @ (cartprod @ X1528 @ X1528))=>![X1530:$i]:(((subset @ X1530 @ (cartprod @ X1528 @ X1528))=>(subset @ (breln1compset @ X1528 @ X1529 @ X1530) @ (cartprod @ X1528 @ X1528))))))=>(![X1537:$i, X1538:$i]:(((subset @ X1538 @ (cartprod @ X1537 @ X1537))=>![X1539:$i]:(((subset @ X1539 @ (cartprod @ X1537 @ X1537))=>![X1540:$i]:(((in @ X1540 @ X1537)=>![X1541:$i]:(((in @ X1541 @ X1537)=>![X1542:$i]:(((in @ X1542 @ X1537)=>((in @ (kpair @ X1540 @ X1542) @ X1538)=>((in @ (kpair @ X1542 @ X1541) @ X1539)=>(in @ (kpair @ X1540 @ X1541) @ (breln1compset @ X1537 @ X1538 @ X1539))))))))))))))=>(![X1531:$i, X1532:$i]:(((subset @ X1532 @ (cartprod @ X1531 @ X1531))=>![X1533:$i]:(((subset @ X1533 @ (cartprod @ X1531 @ X1531))=>![X1534:$i]:(((in @ X1534 @ X1531)=>![X1535:$i]:(((in @ X1535 @ X1531)=>((in @ (kpair @ X1534 @ X1535) @ (breln1compset @ X1531 @ X1532 @ X1533))=>?[X1536:$i]:((((in @ X1536 @ X1531)&(in @ (kpair @ X1534 @ X1536) @ X1532))&(in @ (kpair @ X1536 @ X1535) @ X1533))))))))))))=>![X4:$i, X33:$i]:(((subset @ X33 @ (cartprod @ X4 @ X4))=>![X35:$i]:(((subset @ X35 @ (cartprod @ X4 @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))=>![X54:$o]:((![X14:$i]:(((in @ X14 @ X4)=>((in @ (kpair @ X2 @ X14) @ X33)=>((in @ (kpair @ X14 @ X3) @ X35)=>(X54)))))=>(X54)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[breln1compEex]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_322]), foundationAx]), wellorderingAx]), c_0_323]), c_0_324]), c_0_325]), c_0_326]), c_0_327]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_328]), setext]), emptyI]), noeltsimpempty]), c_0_329]), c_0_330]), c_0_331]), c_0_332]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_333]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_334]), c_0_335]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_336]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_337]), c_0_338]), c_0_339]), inCongP]), in__Cong]), c_0_340]), c_0_341]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_342]), c_0_343]), c_0_344]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_345]), c_0_346]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), setukpairIL]), setukpairIR]), kpairiskpair]), kpairp]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), cartprodmempair]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_347]), c_0_348]), c_0_349]), c_0_350]), singletonsuniq]), setukpairinjL1]), c_0_351]), theprop]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), c_0_352]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), cartprodpairsurjEq]), c_0_353]), c_0_354]), c_0_355]), c_0_356]), c_0_357]), c_0_358]), c_0_359]), c_0_360]), c_0_361]), app]), infuncsetfunc]), ap2p]), funcinfuncset]), c_0_362]), c_0_363]), c_0_364]), c_0_365]), c_0_366]), c_0_367]), funcGraphProp1]), funcGraphProp3]), funcGraphProp2]), funcextLem]), funcGraphProp4]), c_0_368]), c_0_369]), funcext]), funcext2]), ap2apEq1]), ap2apEq2]), c_0_370]), c_0_371]), c_0_372]), c_0_373]), c_0_374]), c_0_375]), c_0_376]), c_0_377]), c_0_378]), c_0_379]), ifp]), theeq]), iftrue]), iffalse]), iftrueorfalse]), binintersectT_lem]), binunionT_lem]), powersetT_lem]), setminusT_lem]), complementT_lem]), setextT]), subsetTI]), powersetTI1]), powersetTE1]), complementTI1]), complementTE1]), binintersectTELcontra]), binintersectTERcontra]), contrasubsetT]), contrasubsetT1]), contrasubsetT2]), contrasubsetT3]), doubleComplementI1]), doubleComplementE1]), doubleComplementSub1]), doubleComplementSub2]), doubleComplementEq]), complementTnotintersectT]), complementImpComplementIntersect]), complementSubsetComplementIntersect]), complementInPowersetComplementIntersect]), contraSubsetComplement]), complementTcontraSubset]), binunionTILcontra]), binunionTIRcontra]), inIntersectImpInUnion]), inIntersectImpInUnion2]), inIntersectImpInIntersectUnions]), intersectInPowersetIntersectUnions]), inComplementUnionImpNotIn1]), inComplementUnionImpInComplement1]), binunionTE]), binunionTEcontra]), demorgan2a1]), complementUnionInPowersetComplement]), demorgan2a2]), demorgan1a]), demorgan1b]), demorgan1]), demorgan2a]), demorgan2b2]), demorgan2b]), demorgan2]), woz13rule0]), woz13rule1]), woz13rule2]), woz13rule3]), woz13rule4]), woz1_1]), woz1_2]), woz1_3]), woz1_4]), woz1_5]), c_0_320]), c_0_380]), c_0_381]), c_0_382]), c_0_383]), c_0_384]), c_0_385]), c_0_386]), c_0_387]), c_0_388]), c_0_389]), c_0_390]), c_0_391]), c_0_392])])]), c_0_393])). 273.56/35.12 thf(c_0_395, negated_conjecture, ![X2053:$i, X2054:$i, X2056:$i, X2057:$i, X2058:$i, X2059:$i, X2060:$i, X2061:$i, X2062:$i, X2063:$i, X2064:$i, X2066:$i, X2067:$i, X2069:$i, X2070:$i, X2071:$i, X2072:$i, X2073:$i, X2075:$i, X2076:$i > $i > $o, X2077:$i, X2079:$i, X2082:$i, X2084:$i, X2085:$i, X2086:$i, X2087:$i, X2089:$i, X2090:$i > $o, X2091:$i, X2093:$i, X2094:$i > $o, X2095:$i, X2096:$i, X2097:$i > $o, X2098:$i, X2099:$i, X2100:$i > $o, X2101:$i, X2102:$i > $o, X2103:$i, X2106:$i, X2107:$o, X2108:$i, X2109:$i, X2110:$o, X2111:$i, X2112:$i, X2113:$i > $o, X2114:$i, X2117:$i, X2118:$i, X2121:$i, X2123:$i, X2125:$i, X2126:$i > $o, X2127:$i, X2128:$i, X2130:$i, X2131:$i > $o, X2132:$i, X2133:$i, X2134:$i, X2135:$i, X2136:$i, X2137:$i, X2138:$i, X2139:$i, X2140:$i, X2141:$i, X2142:$i, X2143:$o, X2144:$i, X2145:$i, X2146:$i, X2147:$i, X2148:$i, X2149:$i, X2151:$i, X2152:$i, X2153:$i, X2154:$i, X2155:$i, X2156:$i, X2157:$i, X2158:$i, X2159:$i, X2160:$i, X2161:$o, X2163:$i, X2164:$i, X2165:$i > $o, X2166:$i, X2169:$i, X2170:$i, X2171:$i, X2173:$i, X2174:$i, X2175:$i, X2176:$i, X2177:$i, X2178:$i, X2179:$i, X2180:$i, X2181:$i, X2182:$i, X2183:$i, X2184:$i, X2185:$i, X2186:$i, X2187:$i, X2188:$i, X2189:$i > $o, X2190:$i, X2191:$i > $o, X2192:$i, X2193:$i, X2194:$i > $o, X2195:$i, X2197:$i, X2198:$i > $o, X2200:$i, X2201:$i, X2202:$i > $o, X2204:$i, X2205:$i, X2206:$i > $o, X2207:$i, X2209:$o, X2210:$o, X2211:$i, X2212:$i > $o, X2214:$i, X2215:$i, X2216:$i > $o, X2217:$i, X2219:$i > $o, X2220:$i, X2223:$i, X2224:$i > $o, X2225:$i, X2229:$i, X2230:$i > $o, X2231:$i, X2234:$i, X2235:$i, X2236:$i, X2237:$i, X2238:$i, X2239:$i, X2240:$i, X2241:$i, X2242:$i, X2243:$i > $o, X2244:$i, X2246:$i, X2247:$i, X2248:$i > $o, X2249:$i > $o, X2252:$i, X2255:$i, X2256:$i, X2259:$i, X2260:$i, X2261:$i, X2262:$i, X2263:$i, X2264:$i, X2265:$i, X2266:$i, X2267:$i, X2268:$i > $o, X2269:$i, X2271:$i, X2272:$i, X2273:$i > $o, X2274:$i > $o, X2277:$i, X2279:$i, X2281:$i, X2282:$i, X2283:$i > $o, X2284:$i > $o, X2287:$i, X2288:$i, X2290:$i, X2291:$i, X2292:$i, X2293:$i, X2294:$i, X2295:$i, X2297:$i, X2298:$i, X2299:$i, X2300:$i, X2301:$i, X2302:$i, X2303:$i, X2304:$i, X2305:$i, X2306:$i, X2307:$i, X2308:$i, X2309:$i, X2310:$i, X2311:$i, X2312:$i, X2313:$i, X2314:$i, X2315:$i, X2316:$i, X2317:$i, X2318:$i, X2319:$i, X2320:$i, X2321:$i, X2322:$i, X2323:$i, X2324:$i, X2325:$i, X2326:$i, X2327:$i, X2328:$i, X2329:$i, X2330:$i, X2331:$i, X2332:$i, X2333:$i, X2334:$i > $o, X2335:$i, X2336:$i > $o, X2337:$i, X2338:$i, X2339:$i, X2340:$i, X2341:$i, X2342:$i, X2343:$i, X2344:$i, X2345:$i, X2346:$i, X2347:$i, X2348:$o, X2349:$i, X2350:$i, X2351:$i, X2352:$i, X2353:$i, X2354:$i, X2355:$i, X2356:$i, X2357:$i, X2358:$i, X2359:$i, X2360:$i, X2361:$i, X2362:$i, X2363:$i, X2364:$i, X2365:$i, X2366:$i, X2367:$i, X2368:$i, X2369:$i, X2370:$i, X2371:$i, X2372:$i, X2373:$i, X2374:$i, X2375:$i, X2377:$i, X2378:$i, X2379:$i, X2380:$i, X2381:$i, X2382:$i, X2383:$i, X2384:$i, X2385:$i, X2386:$i, X2387:$i, X2388:$i, X2389:$i, X2390:$i, X2391:$i, X2392:$i, X2393:$i, X2394:$i, X2395:$i, X2396:$i, X2397:$i, X2398:$i, X2399:$i, X2400:$i, X2401:$i, X2402:$i, X2403:$i, X2404:$i, X2405:$i, X2406:$i, X2407:$i, X2408:$i, X2409:$i, X2410:$i, X2411:$i, X2412:$i, X2413:$i, X2414:$i, X2415:$i, X2416:$o, X2417:$i, X2418:$i, X2419:$i, X2420:$i, X2421:$i, X2422:$i, X2423:$i, X2424:$i, X2425:$i, X2426:$i, X2427:$i, X2428:$i, X2429:$i, X2430:$i, X2431:$i, X2432:$i, X2433:$i, X2434:$i, X2435:$i, X2436:$i, X2437:$i, X2438:$i, X2439:$i, X2440:$i, X2441:$i, X2442:$i, X2443:$i, X2444:$i, X2445:$i, X2446:$i, X2447:$i, X2448:$i, X2449:$i, X2450:$i, X2451:$i, X2452:$i, X2453:$i, X2454:$i, X2455:$i, X2456:$i, X2457:$i, X2458:$i, X2459:$i, X2460:$i, X2461:$i, X2462:$i, X2463:$i, X2464:$i, X2465:$i, X2466:$i, X2467:$i, X2468:$i, X2469:$i, X2470:$i, X2471:$i, X2472:$i, X2473:$i, X2474:$i, X2475:$i, X2478:$i, X2479:$i, X2480:$i, X2481:$i, X2482:$i, X2484:$i, X2485:$i, X2486:$i, X2487:$i, X2488:$i > $o, X2491:$i, X2492:$i, X2493:$i > $o, X2495:$i, X2496:$i > $o, X2497:$i, X2499:$i, X2500:$i > $o, X2503:$i, X2504:$i, X2505:$i, X2506:$i, X2507:$i, X2508:$i, X2509:$i, X2510:$i, X2511:$i, X2512:$i, X2513:$i, X2514:$i, X2515:$i, X2516:$i, X2517:$i, X2518:$i, X2519:$i, X2520:$i, X2521:$i, X2522:$i, X2523:$i, X2524:$i, X2525:$i, X2526:$i, X2527:$i, X2528:$i, X2529:$i, X2530:$i, X2531:$i, X2532:$i, X2533:$i, X2534:$i, X2535:$i, X2536:$i, X2537:$i, X2538:$i, X2539:$i, X2540:$i, X2541:$i, X2542:$i, X2543:$i, X2544:$i, X2545:$i, X2546:$i, X2547:$i, X2548:$i, X2549:$i, X2550:$i, X2551:$i, X2552:$i, X2553:$i, X2554:$i, X2555:$i, X2556:$i, X2557:$i, X2558:$i, X2559:$i, X2560:$i, X2561:$i, X2562:$i, X2563:$i, X2564:$i, X2565:$i, X2566:$i, X2567:$i, X2568:$i, X2569:$i, X2570:$i, X2571:$i, X2572:$i, X2573:$i, X2574:$i, X2575:$i > $i > $o, X2576:$i, X2577:$i, X2578:$i, X2579:$i, X2580:$i > $i > $o, X2581:$i, X2582:$i, X2583:$i > $i > $o, X2584:$i, X2585:$i, X2586:$i > $i > $o, X2587:$i, X2588:$i, X2589:$i, X2590:$i, X2591:$i > $i > $o, X2592:$i, X2593:$i, X2594:$i, X2595:$i, X2596:$i > $i > $o, X2597:$i, X2598:$i, X2599:$i, X2600:$i, X2601:$i > $i > $o, X2602:$i, X2603:$i, X2604:$i, X2605:$i, X2606:$i, X2607:$i, X2608:$i, X2609:$i, X2610:$i, X2611:$i, X2612:$i, X2613:$i, X2614:$i, X2615:$i, X2616:$i, X2617:$i, X2618:$i, X2619:$i, X2620:$i, X2621:$i, X2622:$i, X2623:$i, X2624:$i, X2625:$i, X2626:$i, X2627:$i, X2628:$i > $i, X2630:$i, X2631:$i, X2632:$i > $i, X2634:$i, X2635:$i, X2636:$i > $i, X2638:$i, X2639:$i, X2640:$i, X2641:$i > $o, X2644:$i, X2645:$i, X2646:$i, X2647:$i, X2648:$i > $o, X2651:$i, X2652:$i, X2653:$i > $o, X2654:$i, X2655:$i, X2656:$i, X2657:$i, X2658:$i, X2659:$i, X2660:$i, X2661:$i, X2662:$i, X2663:$i, X2664:$i, X2665:$i, X2666:$i, X2667:$i, X2668:$i, X2669:$i, X2670:$i, X2671:$i, X2672:$i, X2674:$i, X2675:$i, X2676:$i, X2677:$i, X2678:$i, X2679:$i, X2680:$i, X2681:$i, X2682:$i, X2683:$i, X2684:$i, X2687:$i, X2688:$i, X2689:$i, X2690:$i, X2695:$i, X2696:$i, X2697:$i, X2698:$i, X2700:$i, X2701:$i, X2702:$i, X2703:$i, X2705:$i, X2706:$i, X2707:$i, X2708:$i, X2709:$i, X2710:$i, X2711:$i, X2712:$i, X2713:$i, X2714:$i, X2715:$i > $i, X2717:$i, X2718:$i, X2719:$i, X2720:$i, X2721:$i, X2722:$i, X2723:$i > $i, X2725:$i, X2726:$i, X2727:$i > $i, X2729:$i, X2730:$i, X2731:$i, X2732:$i, X2733:$i, X2734:$o, X2735:$i, X2736:$i, X2737:$i, X2738:$o, X2739:$i, X2740:$i, X2741:$i, X2742:$o, X2743:$i, X2744:$i, X2745:$i, X2746:$o, X2747:$i, X2748:$i, X2749:$i, X2750:$o, X2751:$i, X2752:$i, X2753:$i, X2754:$o, X2755:$i, X2756:$i, X2757:$i, X2758:$i, X2759:$i, X2760:$o, X2761:$i, X2762:$i, X2763:$i, X2764:$o, X2765:$i, X2766:$i, X2767:$i, X2768:$o, X2769:$i, X2770:$i, X2771:$i, X2772:$i, X2773:$i, X2774:$i, X2775:$i, X2776:$i, X2777:$i, X2778:$i, X2779:$i, X2780:$i, X2781:$i, X2782:$i, X2783:$i, X2784:$i, X2785:$i, X2786:$i, X2789:$i, X2790:$i, X2791:$i, X2793:$i, X2794:$i, X2795:$i, X2797:$i, X2798:$i, X2799:$i, X2800:$i, X2801:$i, X2802:$i, X2803:$i, X2804:$i, X2805:$i, X2806:$i, X2807:$i, X2808:$i, X2809:$i, X2810:$i, X2811:$i, X2812:$i, X2813:$i, X2814:$i, X2815:$i, X2816:$i, X2817:$i, X2818:$i, X2819:$i, X2820:$i, X2821:$i, X2822:$i, X2823:$i, X2824:$i, X2825:$i, X2826:$i, X2827:$i, X2828:$i, X2829:$i, X2830:$i, X2831:$i, X2832:$i, X2833:$i, X2834:$i, X2835:$i, X2836:$i, X2837:$i, X2838:$i, X2839:$i, X2840:$i, X2841:$i, X2842:$i, X2843:$i, X2844:$i, X2845:$i, X2846:$i, X2847:$i, X2848:$i, X2849:$i, X2850:$i, X2851:$i, X2852:$i, X2853:$i, X2854:$i, X2855:$i, X2856:$i, X2857:$i, X2858:$i, X2859:$i, X2860:$i, X2861:$i, X2862:$i, X2863:$i, X2864:$i, X2865:$i, X2866:$i, X2867:$i, X2868:$i, X2869:$i, X2870:$i, X2871:$i, X2872:$i, X2873:$i, X2874:$i, X2875:$i, X2876:$i, X2877:$i, X2878:$i, X2879:$i, X2880:$i, X2881:$i, X2882:$i, X2883:$i, X2884:$i, X2885:$i, X2886:$i, X2887:$i, X2888:$i, X2889:$i, X2890:$i, X2891:$i, X2892:$i, X2893:$i, X2894:$i, X2895:$i, X2896:$i, X2897:$i, X2898:$i, X2899:$i, X2900:$o, X2901:$i, X2902:$i, X2903:$i, X2904:$i, X2905:$i, X2906:$i, X2907:$i, X2908:$i, X2909:$i, X2910:$i, X2911:$i, X2912:$i, X2913:$i, X2914:$i, X2915:$i, X2916:$i, X2917:$i, X2918:$i, X2919:$i, X2920:$i, X2921:$i, X2922:$i, X2923:$i, X2924:$i, X2925:$i, X2926:$i, X2927:$i, X2928:$i, X2929:$i, X2930:$i, X2931:$i, X2932:$i, X2933:$i, X2934:$i, X2935:$i, X2936:$i, X2937:$i, X2938:$i, X2939:$i, X2940:$i, X2941:$i, X2942:$i, X2943:$i, X2944:$i, X2945:$i, X2946:$i, X2947:$i, X2948:$i, X2949:$i, X2950:$i, X2951:$i, X2952:$i, X2953:$i, X2954:$i, X2955:$i, X2956:$i, X2957:$i, X2958:$i, X2959:$i, X2960:$i, X2961:$i, X2962:$i, X2963:$i, X2964:$i, X2965:$i, X2966:$i, X2967:$i, X2968:$i, X2969:$i, X2970:$i, X2971:$i, X2972:$i, X2973:$i, X2974:$i, X2975:$i, X2976:$i, X2977:$i, X2978:$i, X2979:$i, X2980:$i, X2981:$i, X2982:$i, X2983:$i, X2984:$i > $o, X2987:$i, X2988:$i, X2989:$i, X2990:$i, X2991:$i, X2992:$i > $i > $o, X2994:$i, X2995:$i, X2996:$i, X2997:$i, X2998:$i > $i > $o, X2999:$i, X3000:$i, X3001:$i > $o, X3004:$i, X3005:$i, X3006:$i, X3007:$i, X3010:$i, X3011:$i, X3012:$i, X3017:$i, X3018:$i, X3019:$i, X3020:$i, X3021:$i, X3022:$i, X3023:$i, X3024:$i, X3025:$i, X3026:$i, X3027:$i, X3028:$i, X3029:$i, X3030:$i, X3031:$i, X3032:$i, X3033:$i, X3034:$i, X3035:$i, X3036:$i, X3037:$i, X3038:$i, X3039:$i, X3040:$i, X3048:$i]:((((~(in @ (esk1_2 @ X2053 @ X2054) @ X2053)|~(in @ (esk1_2 @ X2053 @ X2054) @ X2054)|((X2053)=(X2054)))&((in @ (esk1_2 @ X2053 @ X2054) @ X2053)|(in @ (esk1_2 @ X2053 @ X2054) @ X2054)|((X2053)=(X2054))))&(~(in @ X2056 @ emptyset)&(((~(in @ X2059 @ (setadjoin @ X2057 @ X2058))|(((X2059)=(X2057))|(in @ X2059 @ X2058)))&((((X2059)!=(X2057))|(in @ X2059 @ (setadjoin @ X2057 @ X2058)))&(~(in @ X2059 @ X2058)|(in @ X2059 @ (setadjoin @ X2057 @ X2058)))))&(((~(in @ X2061 @ (powerset @ X2060))|(~(in @ X2062 @ X2061)|(in @ X2062 @ X2060)))&(((in @ (esk2_2 @ X2063 @ X2064) @ X2064)|(in @ X2064 @ (powerset @ X2063)))&(~(in @ (esk2_2 @ X2063 @ X2064) @ X2063)|(in @ X2064 @ (powerset @ X2063)))))&(((((in @ X2067 @ (esk3_2 @ X2066 @ X2067))|~(in @ X2067 @ (setunion @ X2066)))&((in @ (esk3_2 @ X2066 @ X2067) @ X2066)|~(in @ X2067 @ (setunion @ X2066))))&(~(in @ X2070 @ X2071)|~(in @ X2071 @ X2069)|(in @ X2070 @ (setunion @ X2069))))&((in @ emptyset @ omega)&((~(in @ X2072 @ omega)|(in @ (setadjoin @ X2072 @ X2072) @ omega))&(((((in @ (esk4_1 @ X2073) @ omega)|~(in @ emptyset @ X2073)|(~(in @ X2075 @ omega)|(in @ X2075 @ X2073)))&((in @ (esk4_1 @ X2073) @ X2073)|~(in @ emptyset @ X2073)|(~(in @ X2075 @ omega)|(in @ X2075 @ X2073))))&(~(in @ (setadjoin @ (esk4_1 @ X2073) @ (esk4_1 @ X2073)) @ X2073)|~(in @ emptyset @ X2073)|(~(in @ X2075 @ omega)|(in @ X2075 @ X2073))))&((((((in @ (esk8_3 @ X2076 @ X2077 @ X2082) @ X2077)|~(in @ X2082 @ (esk7_2 @ X2076 @ X2077))|(in @ (esk5_2 @ X2076 @ X2077) @ X2077))&((X2076 @ (esk8_3 @ X2076 @ X2077 @ X2082) @ X2082)|~(in @ X2082 @ (esk7_2 @ X2076 @ X2077))|(in @ (esk5_2 @ X2076 @ X2077) @ X2077)))&(~(in @ X2085 @ X2077)|~(X2076 @ X2085 @ X2084)|(in @ X2084 @ (esk7_2 @ X2076 @ X2077))|(in @ (esk5_2 @ X2076 @ X2077) @ X2077)))&(((((in @ (esk8_3 @ X2076 @ X2077 @ X2082) @ X2077)|~(in @ X2082 @ (esk7_2 @ X2076 @ X2077))|((X2076 @ (esk5_2 @ X2076 @ X2077) @ (esk6_3 @ X2076 @ X2077 @ X2079))|~(X2076 @ (esk5_2 @ X2076 @ X2077) @ X2079)))&((X2076 @ (esk8_3 @ X2076 @ X2077 @ X2082) @ X2082)|~(in @ X2082 @ (esk7_2 @ X2076 @ X2077))|((X2076 @ (esk5_2 @ X2076 @ X2077) @ (esk6_3 @ X2076 @ X2077 @ X2079))|~(X2076 @ (esk5_2 @ X2076 @ X2077) @ X2079))))&(~(in @ X2085 @ X2077)|~(X2076 @ X2085 @ X2084)|(in @ X2084 @ (esk7_2 @ X2076 @ X2077))|((X2076 @ (esk5_2 @ X2076 @ X2077) @ (esk6_3 @ X2076 @ X2077 @ X2079))|~(X2076 @ (esk5_2 @ X2076 @ X2077) @ X2079))))&((((in @ (esk8_3 @ X2076 @ X2077 @ X2082) @ X2077)|~(in @ X2082 @ (esk7_2 @ X2076 @ X2077))|(((X2079)!=(esk6_3 @ X2076 @ X2077 @ X2079))|~(X2076 @ (esk5_2 @ X2076 @ X2077) @ X2079)))&((X2076 @ (esk8_3 @ X2076 @ X2077 @ X2082) @ X2082)|~(in @ X2082 @ (esk7_2 @ X2076 @ X2077))|(((X2079)!=(esk6_3 @ X2076 @ X2077 @ X2079))|~(X2076 @ (esk5_2 @ X2076 @ X2077) @ X2079))))&(~(in @ X2085 @ X2077)|~(X2076 @ X2085 @ X2084)|(in @ X2084 @ (esk7_2 @ X2076 @ X2077))|(((X2079)!=(esk6_3 @ X2076 @ X2077 @ X2079))|~(X2076 @ (esk5_2 @ X2076 @ X2077) @ X2079))))))&((((in @ (esk9_1 @ X2086) @ X2086)|~(in @ X2087 @ X2086))&(~(in @ X2089 @ (esk9_1 @ X2086))|~(in @ X2089 @ X2086)|~(in @ X2087 @ X2086)))&((epred1_0)&((((X2090 @ (esk10_2 @ X2090 @ X2091))|~(X2090 @ X2091)|(X2090 @ (descr @ X2090)))&(((X2091)!=(esk10_2 @ X2090 @ X2091))|~(X2090 @ X2091)|(X2090 @ (descr @ X2090))))&((~(in @ X2095 @ X2093)|(~(X2094 @ X2095)|(in @ X2095 @ (dsetconstr @ X2093 @ X2094))))&((~(in @ X2098 @ (dsetconstr @ X2096 @ X2097))|(in @ X2098 @ X2096))&((~(in @ X2101 @ (dsetconstr @ X2099 @ X2100))|(X2100 @ X2101))&(((((X2102 @ (esk12_1 @ X2102))|((X2102 @ (esk11_2 @ X2102 @ X2103))|~(X2102 @ X2103)))&(~(X2102 @ X2106)|((esk12_1 @ X2102)=(X2106))|((X2102 @ (esk11_2 @ X2102 @ X2103))|~(X2102 @ X2103))))&(((X2102 @ (esk12_1 @ X2102))|(((X2103)!=(esk11_2 @ X2102 @ X2103))|~(X2102 @ X2103)))&(~(X2102 @ X2106)|((esk12_1 @ X2102)=(X2106))|(((X2103)!=(esk11_2 @ X2102 @ X2103))|~(X2102 @ X2103)))))&((~(in @ X2108 @ (prop2set @ ((X2107))))|(X2107))&((~(in @ X2109 @ emptyset)|(X2110))&((~(in @ X2111 @ emptyset)|~($true))&(~(in @ X2112 @ emptyset)&((((X2113 @ (esk13_2 @ X2113 @ X2114))|~(X2113 @ X2114)|(X2113 @ (esk14_1 @ X2113)))&(((X2114)!=(esk13_2 @ X2113 @ X2114))|~(X2113 @ X2114)|(X2113 @ (esk14_1 @ X2113))))&(((((in @ (esk16_2 @ X2117 @ X2118) @ X2118)|((X2117)=(X2118))|(in @ (esk15_2 @ X2117 @ X2118) @ X2117))&(~(in @ (esk16_2 @ X2117 @ X2118) @ X2117)|((X2117)=(X2118))|(in @ (esk15_2 @ X2117 @ X2118) @ X2117)))&(((in @ (esk16_2 @ X2117 @ X2118) @ X2118)|((X2117)=(X2118))|~(in @ (esk15_2 @ X2117 @ X2118) @ X2118))&(~(in @ (esk16_2 @ X2117 @ X2118) @ X2117)|((X2117)=(X2118))|~(in @ (esk15_2 @ X2117 @ X2118) @ X2118))))&(((in @ (esk17_1 @ X2121) @ X2121)|((X2121)=(emptyset)))&(((in @ (esk18_1 @ X2123) @ X2123)|((X2123)=(emptyset)))&(((~(in @ X2127 @ (dsetconstr @ X2125 @ X2126))|(X2126 @ X2127)|~(in @ X2127 @ X2125))&(~(X2126 @ X2127)|(in @ X2127 @ (dsetconstr @ X2125 @ X2126))|~(in @ X2127 @ X2125)))&((((X2128)=(emptyset))|(in @ (esk19_1 @ X2128) @ X2128))&((~(in @ X2132 @ X2130)|(~(X2131 @ X2132)|((dsetconstr @ X2130 @ X2131)!=(emptyset))))&((~(in @ X2134 @ X2133)|((X2133)!=(emptyset)))&((in @ X2135 @ (setadjoin @ X2135 @ X2136))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X2139 @ X2138)|(in @ X2139 @ (setadjoin @ X2137 @ X2138)))&(((((in @ X2142 @ X2141)|(X2143)|((X2142)=(X2140))|~(in @ X2142 @ (setadjoin @ X2140 @ X2141)))&(~(X2143)|(X2143)|((X2142)=(X2140))|~(in @ X2142 @ (setadjoin @ X2140 @ X2141))))&(((in @ X2142 @ X2141)|(X2143)|~(X2143)|~(in @ X2142 @ (setadjoin @ X2140 @ X2141)))&(~(X2143)|(X2143)|~(X2143)|~(in @ X2142 @ (setadjoin @ X2140 @ X2141)))))&((~(in @ X2146 @ (setadjoin @ X2144 @ X2145))|(((X2146)=(X2144))|(in @ X2146 @ X2145)))&(((dsetconstr @ X2147 @ (^[Z0/* 1 */:$i]:($true)))=(X2147))&((((in @ (esk20_2 @ X2148 @ X2149) @ X2149)|(in @ X2149 @ (powerset @ X2148)))&(~(in @ (esk20_2 @ X2148 @ X2149) @ X2148)|(in @ X2149 @ (powerset @ X2148))))&((in @ emptyset @ (powerset @ X2151))&((in @ emptyset @ (powerset @ X2152))&((~(in @ X2154 @ (powerset @ X2153))|(~(in @ X2155 @ X2154)|(in @ X2155 @ X2153)))&((~(in @ X2157 @ X2158)|(~(in @ X2158 @ X2156)|(in @ X2157 @ (setunion @ X2156))))&((((in @ X2160 @ (esk21_3 @ X2159 @ X2160 @ X2161))|(X2161)|~(in @ X2160 @ (setunion @ X2159)))&(((in @ (esk21_3 @ X2159 @ X2160 @ X2161) @ X2159)|(X2161)|~(in @ X2160 @ (setunion @ X2159)))&(~(X2161)|(X2161)|~(in @ X2160 @ (setunion @ X2159)))))&((~(in @ X2164 @ X2163)|(in @ X2164 @ (powerset @ (setunion @ X2163))))&((((~(X2165 @ X2169)|((X2169)=(esk23_1 @ X2165))|((X2165 @ (esk22_2 @ X2165 @ X2166))|~(X2165 @ X2166)))&(((X2170)!=(esk23_1 @ X2165))|(X2165 @ X2170)|((X2165 @ (esk22_2 @ X2165 @ X2166))|~(X2165 @ X2166))))&((~(X2165 @ X2169)|((X2169)=(esk23_1 @ X2165))|(((X2166)!=(esk22_2 @ X2165 @ X2166))|~(X2165 @ X2166)))&(((X2170)!=(esk23_1 @ X2165))|(X2165 @ X2170)|(((X2166)!=(esk22_2 @ X2165 @ X2166))|~(X2165 @ X2166)))))&((((in @ (esk24_1 @ X2171) @ X2171)|((X2171)=(emptyset)))&(($true)|((X2171)=(emptyset))))&((~(in @ X2173 @ (setadjoin @ X2174 @ emptyset))|((X2173)=(X2174)))&((((X2175)=(X2176))|~(in @ X2176 @ (setadjoin @ X2175 @ emptyset)))&((((X2177)!=(X2178))|(in @ X2177 @ (setadjoin @ X2178 @ emptyset)))&((~(in @ X2179 @ (setadjoin @ X2180 @ emptyset))|(in @ X2180 @ (setadjoin @ X2179 @ emptyset)))&((~(in @ X2183 @ (setadjoin @ X2181 @ (setadjoin @ X2182 @ emptyset)))|(((X2183)=(X2181))|((X2183)=(X2182))))&((in @ X2184 @ (setadjoin @ X2184 @ (setadjoin @ X2185 @ emptyset)))&((in @ X2187 @ (setadjoin @ X2186 @ (setadjoin @ X2187 @ emptyset)))&((~(in @ X2190 @ X2188)|~(X2189 @ X2190)|(((dsetconstr @ X2188 @ X2189)!=(emptyset))|~($true)))&((~(in @ X2192 @ emptyset)|(X2191 @ X2192))&((((in @ (esk25_2 @ X2193 @ X2194) @ X2193)|(~(in @ X2195 @ X2193)|(X2194 @ X2195)))&(~(X2194 @ (esk25_2 @ X2193 @ X2194))|(~(in @ X2195 @ X2193)|(X2194 @ X2195))))&((((in @ (esk26_2 @ X2197 @ X2198) @ X2197)|(~(in @ X2200 @ X2197)|~(X2198 @ X2200)))&((X2198 @ (esk26_2 @ X2197 @ X2198))|(~(in @ X2200 @ X2197)|~(X2198 @ X2200))))&((((in @ (esk27_2 @ X2201 @ X2202) @ X2201)|(~(in @ X2204 @ X2201)|~(X2202 @ X2204)))&((X2202 @ (esk27_2 @ X2201 @ X2202))|(~(in @ X2204 @ X2201)|~(X2202 @ X2204))))&((((in @ (esk28_2 @ X2205 @ X2206) @ X2205)|(~(in @ X2207 @ X2205)|(X2206 @ X2207)))&(~(X2206 @ (esk28_2 @ X2205 @ X2206))|(~(in @ X2207 @ X2205)|(X2206 @ X2207))))&((~(X2209)|(in @ emptyset @ (prop2set @ ((X2209)))))&((~(X2210)|(set2prop @ (prop2set @ ((X2210)))))&((((in @ (esk29_2 @ X2211 @ X2212) @ X2211)|(~(in @ X2214 @ X2211)|~(X2212 @ X2214)))&((X2212 @ (esk29_2 @ X2211 @ X2212))|(~(in @ X2214 @ X2211)|~(X2212 @ X2214))))&((((in @ (esk30_2 @ X2215 @ X2216) @ X2215)|(~(in @ X2217 @ X2215)|(X2216 @ X2217)))&(~(X2216 @ (esk30_2 @ X2215 @ X2216))|(~(in @ X2217 @ X2215)|(X2216 @ X2217))))&(((((X2219 @ (esk32_1 @ X2219))|((X2219 @ (esk31_2 @ X2219 @ X2220))|~(X2219 @ X2220)))&(~(X2219 @ X2223)|((esk32_1 @ X2219)=(X2223))|((X2219 @ (esk31_2 @ X2219 @ X2220))|~(X2219 @ X2220))))&(((X2219 @ (esk32_1 @ X2219))|(((X2220)!=(esk31_2 @ X2219 @ X2220))|~(X2219 @ X2220)))&(~(X2219 @ X2223)|((esk32_1 @ X2219)=(X2223))|(((X2220)!=(esk31_2 @ X2219 @ X2220))|~(X2219 @ X2220)))))&(((((X2224 @ (esk35_1 @ X2224))|(X2224 @ (esk33_1 @ X2224))|~(X2224 @ X2225))&(~(X2224 @ X2229)|((esk35_1 @ X2224)=(X2229))|(X2224 @ (esk33_1 @ X2224))|~(X2224 @ X2225)))&((((X2224 @ (esk35_1 @ X2224))|(X2224 @ (esk34_1 @ X2224))|~(X2224 @ X2225))&(~(X2224 @ X2229)|((esk35_1 @ X2224)=(X2229))|(X2224 @ (esk34_1 @ X2224))|~(X2224 @ X2225)))&(((X2224 @ (esk35_1 @ X2224))|((esk33_1 @ X2224)!=(esk34_1 @ X2224))|~(X2224 @ X2225))&(~(X2224 @ X2229)|((esk35_1 @ X2224)=(X2229))|((esk33_1 @ X2224)!=(esk34_1 @ X2224))|~(X2224 @ X2225)))))&(((((X2230 @ (esk37_1 @ X2230))|(~(X2230 @ (esk36_2 @ X2230 @ X2231))|((esk36_2 @ X2230 @ X2231)!=(X2231))))&(~(X2230 @ X2234)|((esk37_1 @ X2230)=(X2234))|(~(X2230 @ (esk36_2 @ X2230 @ X2231))|((esk36_2 @ X2230 @ X2231)!=(X2231)))))&(((X2230 @ (esk37_1 @ X2230))|((X2230 @ (esk36_2 @ X2230 @ X2231))|((esk36_2 @ X2230 @ X2231)=(X2231))))&(~(X2230 @ X2234)|((esk37_1 @ X2230)=(X2234))|((X2230 @ (esk36_2 @ X2230 @ X2231))|((esk36_2 @ X2230 @ X2231)=(X2231))))))&((((X2235)!=(X2236))|(((X2237)!=(X2238))|(~(in @ X2237 @ X2235)|(in @ X2238 @ X2236))))&(((~(in @ X2241 @ X2239)|(in @ X2242 @ X2240)|((X2241)!=(X2242))|((X2239)!=(X2240)))&(~(in @ X2242 @ X2240)|(in @ X2241 @ X2239)|((X2241)!=(X2242))|((X2239)!=(X2240))))&((((X2243 @ (esk38_2 @ X2243 @ X2244))|~(X2243 @ X2244)|(~(X2243 @ X2246)|(~(X2243 @ X2247)|((X2246)=(X2247)))))&(((X2244)!=(esk38_2 @ X2243 @ X2244))|~(X2243 @ X2244)|(~(X2243 @ X2246)|(~(X2243 @ X2247)|((X2246)=(X2247))))))&(((((((X2249 @ (esk42_2 @ X2248 @ X2249))|((X2248 @ (esk41_3 @ X2248 @ X2249 @ X2252))|~(X2248 @ X2252))|((esk39_2 @ X2248 @ X2249)=(esk40_2 @ X2248 @ X2249)))&(~(X2249 @ X2255)|((esk42_2 @ X2248 @ X2249)=(X2255))|((X2248 @ (esk41_3 @ X2248 @ X2249 @ X2252))|~(X2248 @ X2252))|((esk39_2 @ X2248 @ X2249)=(esk40_2 @ X2248 @ X2249))))&(((X2249 @ (esk42_2 @ X2248 @ X2249))|(((X2252)!=(esk41_3 @ X2248 @ X2249 @ X2252))|~(X2248 @ X2252))|((esk39_2 @ X2248 @ X2249)=(esk40_2 @ X2248 @ X2249)))&(~(X2249 @ X2255)|((esk42_2 @ X2248 @ X2249)=(X2255))|(((X2252)!=(esk41_3 @ X2248 @ X2249 @ X2252))|~(X2248 @ X2252))|((esk39_2 @ X2248 @ X2249)=(esk40_2 @ X2248 @ X2249)))))&((((X2248 @ (esk44_2 @ X2248 @ X2249))|((X2249 @ (esk43_3 @ X2248 @ X2249 @ X2256))|~(X2249 @ X2256))|((esk39_2 @ X2248 @ X2249)=(esk40_2 @ X2248 @ X2249)))&(~(X2248 @ X2259)|((esk44_2 @ X2248 @ X2249)=(X2259))|((X2249 @ (esk43_3 @ X2248 @ X2249 @ X2256))|~(X2249 @ X2256))|((esk39_2 @ X2248 @ X2249)=(esk40_2 @ X2248 @ X2249))))&(((X2248 @ (esk44_2 @ X2248 @ X2249))|(((X2256)!=(esk43_3 @ X2248 @ X2249 @ X2256))|~(X2249 @ X2256))|((esk39_2 @ X2248 @ X2249)=(esk40_2 @ X2248 @ X2249)))&(~(X2248 @ X2259)|((esk44_2 @ X2248 @ X2249)=(X2259))|(((X2256)!=(esk43_3 @ X2248 @ X2249 @ X2256))|~(X2249 @ X2256))|((esk39_2 @ X2248 @ X2249)=(esk40_2 @ X2248 @ X2249))))))&((((((X2249 @ (esk42_2 @ X2248 @ X2249))|((X2248 @ (esk41_3 @ X2248 @ X2249 @ X2252))|~(X2248 @ X2252))|(~(X2248 @ (esk39_2 @ X2248 @ X2249))|~(X2249 @ (esk40_2 @ X2248 @ X2249))))&(~(X2249 @ X2255)|((esk42_2 @ X2248 @ X2249)=(X2255))|((X2248 @ (esk41_3 @ X2248 @ X2249 @ X2252))|~(X2248 @ X2252))|(~(X2248 @ (esk39_2 @ X2248 @ X2249))|~(X2249 @ (esk40_2 @ X2248 @ X2249)))))&(((X2249 @ (esk42_2 @ X2248 @ X2249))|(((X2252)!=(esk41_3 @ X2248 @ X2249 @ X2252))|~(X2248 @ X2252))|(~(X2248 @ (esk39_2 @ X2248 @ X2249))|~(X2249 @ (esk40_2 @ X2248 @ X2249))))&(~(X2249 @ X2255)|((esk42_2 @ X2248 @ X2249)=(X2255))|(((X2252)!=(esk41_3 @ X2248 @ X2249 @ X2252))|~(X2248 @ X2252))|(~(X2248 @ (esk39_2 @ X2248 @ X2249))|~(X2249 @ (esk40_2 @ X2248 @ X2249))))))&((((X2248 @ (esk44_2 @ X2248 @ X2249))|((X2249 @ (esk43_3 @ X2248 @ X2249 @ X2256))|~(X2249 @ X2256))|(~(X2248 @ (esk39_2 @ X2248 @ X2249))|~(X2249 @ (esk40_2 @ X2248 @ X2249))))&(~(X2248 @ X2259)|((esk44_2 @ X2248 @ X2249)=(X2259))|((X2249 @ (esk43_3 @ X2248 @ X2249 @ X2256))|~(X2249 @ X2256))|(~(X2248 @ (esk39_2 @ X2248 @ X2249))|~(X2249 @ (esk40_2 @ X2248 @ X2249)))))&(((X2248 @ (esk44_2 @ X2248 @ X2249))|(((X2256)!=(esk43_3 @ X2248 @ X2249 @ X2256))|~(X2249 @ X2256))|(~(X2248 @ (esk39_2 @ X2248 @ X2249))|~(X2249 @ (esk40_2 @ X2248 @ X2249))))&(~(X2248 @ X2259)|((esk44_2 @ X2248 @ X2249)=(X2259))|(((X2256)!=(esk43_3 @ X2248 @ X2249 @ X2256))|~(X2249 @ X2256))|(~(X2248 @ (esk39_2 @ X2248 @ X2249))|~(X2249 @ (esk40_2 @ X2248 @ X2249)))))))&(((((X2249 @ (esk42_2 @ X2248 @ X2249))|((X2248 @ (esk41_3 @ X2248 @ X2249 @ X2252))|~(X2248 @ X2252))|((X2248 @ (esk39_2 @ X2248 @ X2249))|(X2249 @ (esk40_2 @ X2248 @ X2249))))&(~(X2249 @ X2255)|((esk42_2 @ X2248 @ X2249)=(X2255))|((X2248 @ (esk41_3 @ X2248 @ X2249 @ X2252))|~(X2248 @ X2252))|((X2248 @ (esk39_2 @ X2248 @ X2249))|(X2249 @ (esk40_2 @ X2248 @ X2249)))))&(((X2249 @ (esk42_2 @ X2248 @ X2249))|(((X2252)!=(esk41_3 @ X2248 @ X2249 @ X2252))|~(X2248 @ X2252))|((X2248 @ (esk39_2 @ X2248 @ X2249))|(X2249 @ (esk40_2 @ X2248 @ X2249))))&(~(X2249 @ X2255)|((esk42_2 @ X2248 @ X2249)=(X2255))|(((X2252)!=(esk41_3 @ X2248 @ X2249 @ X2252))|~(X2248 @ X2252))|((X2248 @ (esk39_2 @ X2248 @ X2249))|(X2249 @ (esk40_2 @ X2248 @ X2249))))))&((((X2248 @ (esk44_2 @ X2248 @ X2249))|((X2249 @ (esk43_3 @ X2248 @ X2249 @ X2256))|~(X2249 @ X2256))|((X2248 @ (esk39_2 @ X2248 @ X2249))|(X2249 @ (esk40_2 @ X2248 @ X2249))))&(~(X2248 @ X2259)|((esk44_2 @ X2248 @ X2249)=(X2259))|((X2249 @ (esk43_3 @ X2248 @ X2249 @ X2256))|~(X2249 @ X2256))|((X2248 @ (esk39_2 @ X2248 @ X2249))|(X2249 @ (esk40_2 @ X2248 @ X2249)))))&(((X2248 @ (esk44_2 @ X2248 @ X2249))|(((X2256)!=(esk43_3 @ X2248 @ X2249 @ X2256))|~(X2249 @ X2256))|((X2248 @ (esk39_2 @ X2248 @ X2249))|(X2249 @ (esk40_2 @ X2248 @ X2249))))&(~(X2248 @ X2259)|((esk44_2 @ X2248 @ X2249)=(X2259))|(((X2256)!=(esk43_3 @ X2248 @ X2249 @ X2256))|~(X2249 @ X2256))|((X2248 @ (esk39_2 @ X2248 @ X2249))|(X2249 @ (esk40_2 @ X2248 @ X2249)))))))))&(((emptyset)=(emptyset))&((((X2260)!=(X2261))|(((X2262)!=(X2263))|((setadjoin @ X2260 @ X2262)=(setadjoin @ X2261 @ X2263))))&((((X2264)!=(X2265))|((powerset @ X2264)=(powerset @ X2265)))&((((X2266)!=(X2267))|((setunion @ X2266)=(setunion @ X2267)))&(((omega)=(omega))&((((X2268 @ (esk45_2 @ X2268 @ X2269))|~(X2268 @ X2269)|(~(X2268 @ X2271)|(~(X2268 @ X2272)|((X2271)=(X2272)))))&(((X2269)!=(esk45_2 @ X2268 @ X2269))|~(X2268 @ X2269)|(~(X2268 @ X2271)|(~(X2268 @ X2272)|((X2271)=(X2272))))))&((((((X2274 @ (esk49_3 @ X2273 @ X2274 @ X2279))|~(X2274 @ X2279)|((descr @ X2273)=(descr @ X2274))|((X2273 @ (esk48_3 @ X2273 @ X2274 @ X2277))|~(X2273 @ X2277))|((esk46_2 @ X2273 @ X2274)=(esk47_2 @ X2273 @ X2274)))&(((X2279)!=(esk49_3 @ X2273 @ X2274 @ X2279))|~(X2274 @ X2279)|((descr @ X2273)=(descr @ X2274))|((X2273 @ (esk48_3 @ X2273 @ X2274 @ X2277))|~(X2273 @ X2277))|((esk46_2 @ X2273 @ X2274)=(esk47_2 @ X2273 @ X2274))))&(((X2274 @ (esk49_3 @ X2273 @ X2274 @ X2279))|~(X2274 @ X2279)|((descr @ X2273)=(descr @ X2274))|(((X2277)!=(esk48_3 @ X2273 @ X2274 @ X2277))|~(X2273 @ X2277))|((esk46_2 @ X2273 @ X2274)=(esk47_2 @ X2273 @ X2274)))&(((X2279)!=(esk49_3 @ X2273 @ X2274 @ X2279))|~(X2274 @ X2279)|((descr @ X2273)=(descr @ X2274))|(((X2277)!=(esk48_3 @ X2273 @ X2274 @ X2277))|~(X2273 @ X2277))|((esk46_2 @ X2273 @ X2274)=(esk47_2 @ X2273 @ X2274)))))&(((((X2274 @ (esk49_3 @ X2273 @ X2274 @ X2279))|~(X2274 @ X2279)|((descr @ X2273)=(descr @ X2274))|((X2273 @ (esk48_3 @ X2273 @ X2274 @ X2277))|~(X2273 @ X2277))|(~(X2273 @ (esk46_2 @ X2273 @ X2274))|~(X2274 @ (esk47_2 @ X2273 @ X2274))))&(((X2279)!=(esk49_3 @ X2273 @ X2274 @ X2279))|~(X2274 @ X2279)|((descr @ X2273)=(descr @ X2274))|((X2273 @ (esk48_3 @ X2273 @ X2274 @ X2277))|~(X2273 @ X2277))|(~(X2273 @ (esk46_2 @ X2273 @ X2274))|~(X2274 @ (esk47_2 @ X2273 @ X2274)))))&(((X2274 @ (esk49_3 @ X2273 @ X2274 @ X2279))|~(X2274 @ X2279)|((descr @ X2273)=(descr @ X2274))|(((X2277)!=(esk48_3 @ X2273 @ X2274 @ X2277))|~(X2273 @ X2277))|(~(X2273 @ (esk46_2 @ X2273 @ X2274))|~(X2274 @ (esk47_2 @ X2273 @ X2274))))&(((X2279)!=(esk49_3 @ X2273 @ X2274 @ X2279))|~(X2274 @ X2279)|((descr @ X2273)=(descr @ X2274))|(((X2277)!=(esk48_3 @ X2273 @ X2274 @ X2277))|~(X2273 @ X2277))|(~(X2273 @ (esk46_2 @ X2273 @ X2274))|~(X2274 @ (esk47_2 @ X2273 @ X2274))))))&((((X2274 @ (esk49_3 @ X2273 @ X2274 @ X2279))|~(X2274 @ X2279)|((descr @ X2273)=(descr @ X2274))|((X2273 @ (esk48_3 @ X2273 @ X2274 @ X2277))|~(X2273 @ X2277))|((X2273 @ (esk46_2 @ X2273 @ X2274))|(X2274 @ (esk47_2 @ X2273 @ X2274))))&(((X2279)!=(esk49_3 @ X2273 @ X2274 @ X2279))|~(X2274 @ X2279)|((descr @ X2273)=(descr @ X2274))|((X2273 @ (esk48_3 @ X2273 @ X2274 @ X2277))|~(X2273 @ X2277))|((X2273 @ (esk46_2 @ X2273 @ X2274))|(X2274 @ (esk47_2 @ X2273 @ X2274)))))&(((X2274 @ (esk49_3 @ X2273 @ X2274 @ X2279))|~(X2274 @ X2279)|((descr @ X2273)=(descr @ X2274))|(((X2277)!=(esk48_3 @ X2273 @ X2274 @ X2277))|~(X2273 @ X2277))|((X2273 @ (esk46_2 @ X2273 @ X2274))|(X2274 @ (esk47_2 @ X2273 @ X2274))))&(((X2279)!=(esk49_3 @ X2273 @ X2274 @ X2279))|~(X2274 @ X2279)|((descr @ X2273)=(descr @ X2274))|(((X2277)!=(esk48_3 @ X2273 @ X2274 @ X2277))|~(X2273 @ X2277))|((X2273 @ (esk46_2 @ X2273 @ X2274))|(X2274 @ (esk47_2 @ X2273 @ X2274))))))))&((((in @ (esk50_4 @ X2281 @ X2282 @ X2283 @ X2284) @ X2281)|((dsetconstr @ X2281 @ X2283)=(dsetconstr @ X2282 @ X2284))|((X2281)!=(X2282)))&(((in @ (esk51_4 @ X2281 @ X2282 @ X2283 @ X2284) @ X2282)|((dsetconstr @ X2281 @ X2283)=(dsetconstr @ X2282 @ X2284))|((X2281)!=(X2282)))&((((esk50_4 @ X2281 @ X2282 @ X2283 @ X2284)=(esk51_4 @ X2281 @ X2282 @ X2283 @ X2284))|((dsetconstr @ X2281 @ X2283)=(dsetconstr @ X2282 @ X2284))|((X2281)!=(X2282)))&((~(X2283 @ (esk50_4 @ X2281 @ X2282 @ X2283 @ X2284))|~(X2284 @ (esk51_4 @ X2281 @ X2282 @ X2283 @ X2284))|((dsetconstr @ X2281 @ X2283)=(dsetconstr @ X2282 @ X2284))|((X2281)!=(X2282)))&((X2283 @ (esk50_4 @ X2281 @ X2282 @ X2283 @ X2284))|(X2284 @ (esk51_4 @ X2281 @ X2282 @ X2283 @ X2284))|((dsetconstr @ X2281 @ X2283)=(dsetconstr @ X2282 @ X2284))|((X2281)!=(X2282)))))))&((((in @ (esk52_2 @ X2287 @ X2288) @ X2287)|(subset @ X2287 @ X2288))&(~(in @ (esk52_2 @ X2287 @ X2288) @ X2288)|(subset @ X2287 @ X2288)))&((((X2290)!=(X2291))|(subset @ X2291 @ X2290))&((((X2292)!=(X2293))|(subset @ X2292 @ X2293))&((((in @ (esk53_2 @ X2294 @ X2295) @ X2294)|(subset @ X2294 @ X2295))&(~(in @ (esk53_2 @ X2294 @ X2295) @ X2295)|(subset @ X2294 @ X2295)))&((subset @ emptyset @ X2297)&((~(subset @ X2298 @ X2299)|(~(in @ X2300 @ X2298)|(in @ X2300 @ X2299)))&((~(subset @ X2301 @ X2302)|((in @ X2303 @ X2302)|~(in @ X2303 @ X2301)))&((~(in @ X2306 @ X2304)|((in @ X2306 @ X2305)|~(subset @ X2304 @ X2305)))&(((subset @ X2307 @ X2308)|((X2307)!=(X2308)))&((~(in @ X2311 @ X2309)|((in @ X2311 @ X2310)|((X2309)!=(X2310))))&((subset @ X2312 @ X2312)&((~(subset @ X2313 @ X2314)|(~(subset @ X2314 @ X2315)|(subset @ X2313 @ X2315)))&((subset @ X2317 @ (setadjoin @ X2316 @ X2317))&((~(subset @ X2318 @ X2320)|(subset @ X2318 @ (setadjoin @ X2319 @ X2320)))&((~(subset @ X2321 @ X2322)|(in @ X2321 @ (powerset @ X2322)))&((~(subset @ X2323 @ X2324)|(~(subset @ X2324 @ X2323)|((X2323)=(X2324))))&((~(subset @ X2325 @ emptyset)|((X2325)=(emptyset)))&((~(subset @ X2327 @ X2326)|(in @ X2327 @ (powerset @ X2326)))&((~(in @ X2329 @ (powerset @ X2328))|(subset @ X2329 @ X2328))&((in @ X2330 @ (powerset @ X2330))&((~(subset @ X2331 @ X2332)|(subset @ (powerset @ X2331) @ (powerset @ X2332)))&((in @ (dsetconstr @ X2333 @ X2334) @ (powerset @ X2333))&((subset @ (dsetconstr @ X2335 @ X2336) @ X2335)&((~(in @ X2339 @ X2337)|(in @ X2339 @ (binunion @ X2337 @ X2338)))&((in @ X2341 @ (setadjoin @ X2340 @ (setadjoin @ X2341 @ emptyset)))&((~(in @ X2344 @ X2343)|(in @ X2344 @ (binunion @ X2342 @ X2343)))&(((((in @ X2347 @ X2346)|(X2348)|(in @ X2347 @ X2345)|~(in @ X2347 @ (binunion @ X2345 @ X2346)))&(~(X2348)|(X2348)|(in @ X2347 @ X2345)|~(in @ X2347 @ (binunion @ X2345 @ X2346))))&(((in @ X2347 @ X2346)|(X2348)|~(X2348)|~(in @ X2347 @ (binunion @ X2345 @ X2346)))&(~(X2348)|(X2348)|~(X2348)|~(in @ X2347 @ (binunion @ X2345 @ X2346)))))&((~(in @ X2351 @ (binunion @ X2349 @ X2350))|((in @ X2351 @ X2349)|(in @ X2351 @ X2350)))&((subset @ X2352 @ (binunion @ X2352 @ X2353))&((subset @ X2355 @ (binunion @ X2354 @ X2355))&((~(in @ X2358 @ X2356)|(~(in @ X2358 @ X2357)|(in @ X2358 @ (binintersect @ X2356 @ X2357))))&((~(subset @ X2361 @ X2359)|(~(subset @ X2361 @ X2360)|(subset @ X2361 @ (binintersect @ X2359 @ X2360))))&((~(in @ X2364 @ (binintersect @ X2362 @ X2363))|(in @ X2364 @ X2362))&((subset @ (binintersect @ X2365 @ X2366) @ X2365)&((~(subset @ X2367 @ X2368)|((binintersect @ X2367 @ X2368)=(X2367)))&((((binintersect @ X2369 @ X2370)!=(X2370))|(subset @ X2370 @ X2369))&((~(in @ X2373 @ (binintersect @ X2371 @ X2372))|(in @ X2373 @ X2372))&((((in @ (esk54_2 @ X2374 @ X2375) @ X2374)|((binintersect @ X2374 @ X2375)=(emptyset)))&((in @ (esk54_2 @ X2374 @ X2375) @ X2375)|((binintersect @ X2374 @ X2375)=(emptyset))))&((subset @ (binintersect @ X2377 @ X2378) @ X2378)&((~(subset @ X2380 @ X2379)|((binintersect @ X2379 @ X2380)=(X2380)))&((((binintersect @ X2381 @ X2382)!=(X2381))|(subset @ X2381 @ X2382))&(((binintersect @ X2383 @ (binunion @ X2384 @ X2385))=(binunion @ (binintersect @ X2383 @ X2384) @ (binintersect @ X2383 @ X2385)))&((~(in @ X2388 @ X2386)|((in @ X2388 @ X2387)|(in @ X2388 @ (setminus @ X2386 @ X2387))))&((~(in @ X2391 @ (setminus @ X2389 @ X2390))|(in @ X2391 @ X2389))&((~(in @ X2394 @ (setminus @ X2392 @ X2393))|~(in @ X2394 @ X2393))&((~(subset @ X2395 @ X2396)|((setminus @ X2395 @ X2396)=(emptyset)))&(((in @ X2399 @ (setminus @ X2397 @ X2398))|(~(in @ X2399 @ X2397)|(in @ X2399 @ X2398)))&(((in @ X2402 @ (setminus @ X2400 @ X2401))|((in @ X2402 @ X2401)|~(in @ X2402 @ X2400)))&(((in @ X2405 @ X2403)|~(in @ X2405 @ (setminus @ X2403 @ X2404)))&((~(in @ X2408 @ X2407)|~(in @ X2408 @ (setminus @ X2406 @ X2407)))&((subset @ (setminus @ X2409 @ X2410) @ X2409)&((((setminus @ X2411 @ X2412)!=(emptyset))|(subset @ X2411 @ X2412))&((((~(in @ X2415 @ X2413)|(X2416)|(in @ X2415 @ X2413)|~(in @ X2415 @ (symdiff @ X2413 @ X2414)))&(((in @ X2415 @ X2414)|(X2416)|(in @ X2415 @ X2413)|~(in @ X2415 @ (symdiff @ X2413 @ X2414)))&(~(X2416)|(X2416)|(in @ X2415 @ X2413)|~(in @ X2415 @ (symdiff @ X2413 @ X2414)))))&(((~(in @ X2415 @ X2413)|(X2416)|~(in @ X2415 @ X2414)|~(in @ X2415 @ (symdiff @ X2413 @ X2414)))&(((in @ X2415 @ X2414)|(X2416)|~(in @ X2415 @ X2414)|~(in @ X2415 @ (symdiff @ X2413 @ X2414)))&(~(X2416)|(X2416)|~(in @ X2415 @ X2414)|~(in @ X2415 @ (symdiff @ X2413 @ X2414)))))&((~(in @ X2415 @ X2413)|(X2416)|~(X2416)|~(in @ X2415 @ (symdiff @ X2413 @ X2414)))&(((in @ X2415 @ X2414)|(X2416)|~(X2416)|~(in @ X2415 @ (symdiff @ X2413 @ X2414)))&(~(X2416)|(X2416)|~(X2416)|~(in @ X2415 @ (symdiff @ X2413 @ X2414)))))))&((~(in @ X2419 @ X2417)|((in @ X2419 @ X2418)|(in @ X2419 @ (symdiff @ X2417 @ X2418))))&(((in @ X2422 @ X2420)|(~(in @ X2422 @ X2421)|(in @ X2422 @ (symdiff @ X2420 @ X2421))))&((~(in @ X2425 @ X2423)|(~(in @ X2425 @ X2424)|~(in @ X2425 @ (symdiff @ X2423 @ X2424))))&(((in @ X2428 @ X2426)|((in @ X2428 @ X2427)|~(in @ X2428 @ (symdiff @ X2426 @ X2427))))&((in @ X2430 @ (setadjoin @ X2429 @ (setadjoin @ X2430 @ emptyset)))&((in @ X2431 @ (setunion @ (setadjoin @ (setadjoin @ X2431 @ emptyset) @ (setadjoin @ (setadjoin @ X2431 @ (setadjoin @ X2432 @ emptyset)) @ emptyset))))&((in @ X2434 @ (setunion @ (setadjoin @ (setadjoin @ X2433 @ emptyset) @ (setadjoin @ (setadjoin @ X2433 @ (setadjoin @ X2434 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X2435 @ emptyset) @ (setadjoin @ (setadjoin @ X2435 @ (setadjoin @ X2436 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X2437 @ X2438))&((~(in @ X2440 @ X2439)|(subset @ (setadjoin @ X2440 @ emptyset) @ X2439))&((~(in @ X2442 @ X2441)|(in @ (setadjoin @ X2442 @ emptyset) @ (powerset @ X2441)))&((~(in @ X2445 @ X2443)|(in @ (setadjoin @ X2445 @ emptyset) @ (powerset @ (binunion @ X2443 @ X2444))))&((~(in @ X2448 @ (setadjoin @ X2446 @ (setadjoin @ X2447 @ emptyset)))|(((X2448)=(X2446))|((X2448)=(X2447))))&((~(in @ X2451 @ X2449)|(~(in @ X2452 @ X2450)|(subset @ (setadjoin @ X2451 @ (setadjoin @ X2452 @ emptyset)) @ (binunion @ X2449 @ X2450))))&((~(in @ X2455 @ X2453)|(~(in @ X2456 @ X2454)|(in @ (setadjoin @ X2455 @ (setadjoin @ X2456 @ emptyset)) @ (powerset @ (binunion @ X2453 @ X2454)))))&((~(in @ X2459 @ X2457)|(~(in @ X2460 @ X2458)|(subset @ (setadjoin @ (setadjoin @ X2459 @ emptyset) @ (setadjoin @ (setadjoin @ X2459 @ (setadjoin @ X2460 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X2457 @ X2458)))))&((~(in @ X2463 @ X2461)|(~(in @ X2464 @ X2462)|(in @ (setadjoin @ (setadjoin @ X2463 @ emptyset) @ (setadjoin @ (setadjoin @ X2463 @ (setadjoin @ X2464 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X2461 @ X2462))))))&((~(in @ X2467 @ X2465)|(~(in @ X2468 @ X2466)|(in @ (kpair @ X2467 @ X2468) @ (powerset @ (powerset @ (binunion @ X2465 @ X2466))))))&((~(in @ X2471 @ X2469)|(~(in @ X2472 @ X2470)|(in @ (kpair @ X2471 @ X2472) @ (cartprod @ X2469 @ X2470))))&((((in @ (esk55_3 @ X2473 @ X2474 @ X2475) @ X2473)|~(in @ X2475 @ (cartprod @ X2473 @ X2474)))&(((in @ (esk56_3 @ X2473 @ X2474 @ X2475) @ X2474)|~(in @ X2475 @ (cartprod @ X2473 @ X2474)))&(((X2475)=(kpair @ (esk55_3 @ X2473 @ X2474 @ X2475) @ (esk56_3 @ X2473 @ X2474 @ X2475)))|~(in @ X2475 @ (cartprod @ X2473 @ X2474)))))&((~(in @ X2480 @ (cartprod @ X2478 @ X2479))|(iskpair @ X2480))&((((in @ (esk57_2 @ X2481 @ X2482) @ X2481)|~(in @ X2482 @ (setunion @ X2481)))&((in @ X2482 @ (esk57_2 @ X2481 @ X2482))|~(in @ X2482 @ (setunion @ X2481))))&((subset @ (setunion @ (setadjoin @ X2484 @ emptyset)) @ X2484)&((subset @ X2485 @ (setunion @ (setadjoin @ X2485 @ emptyset)))&(((setunion @ (setadjoin @ X2486 @ emptyset))=(X2486))&((((in @ (esk58_2 @ X2487 @ X2488) @ X2487)|(~(in @ X2491 @ X2487)|~(X2488 @ X2491)|(singleton @ (dsetconstr @ X2487 @ X2488))))&(((in @ (esk59_2 @ X2487 @ X2488) @ X2487)|(~(in @ X2491 @ X2487)|~(X2488 @ X2491)|(singleton @ (dsetconstr @ X2487 @ X2488))))&(((X2488 @ (esk58_2 @ X2487 @ X2488))|(~(in @ X2491 @ X2487)|~(X2488 @ X2491)|(singleton @ (dsetconstr @ X2487 @ X2488))))&(((X2488 @ (esk59_2 @ X2487 @ X2488))|(~(in @ X2491 @ X2487)|~(X2488 @ X2491)|(singleton @ (dsetconstr @ X2487 @ X2488))))&(((esk58_2 @ X2487 @ X2488)!=(esk59_2 @ X2487 @ X2488))|(~(in @ X2491 @ X2487)|~(X2488 @ X2491)|(singleton @ (dsetconstr @ X2487 @ X2488))))))))&((((in @ (esk60_2 @ X2492 @ X2493) @ X2492)|~(ex1 @ X2492 @ X2493))&((X2493 @ (esk60_2 @ X2492 @ X2493))|~(ex1 @ X2492 @ X2493)))&((((in @ (esk61_3 @ X2495 @ X2496 @ X2497) @ X2495)|(ex1 @ X2495 @ X2496)|~(X2496 @ X2497)|~(in @ X2497 @ X2495))&(((X2496 @ (esk61_3 @ X2495 @ X2496 @ X2497))|(ex1 @ X2495 @ X2496)|~(X2496 @ X2497)|~(in @ X2497 @ X2495))&(((esk61_3 @ X2495 @ X2496 @ X2497)!=(X2497))|(ex1 @ X2495 @ X2496)|~(X2496 @ X2497)|~(in @ X2497 @ X2495))))&((((in @ (esk62_2 @ X2499 @ X2500) @ X2499)|(~(in @ X2503 @ X2499)|~(X2500 @ X2503)|(ex1 @ X2499 @ X2500)))&(((in @ (esk63_2 @ X2499 @ X2500) @ X2499)|(~(in @ X2503 @ X2499)|~(X2500 @ X2503)|(ex1 @ X2499 @ X2500)))&(((X2500 @ (esk62_2 @ X2499 @ X2500))|(~(in @ X2503 @ X2499)|~(X2500 @ X2503)|(ex1 @ X2499 @ X2500)))&(((X2500 @ (esk63_2 @ X2499 @ X2500))|(~(in @ X2503 @ X2499)|~(X2500 @ X2503)|(ex1 @ X2499 @ X2500)))&(((esk62_2 @ X2499 @ X2500)!=(esk63_2 @ X2499 @ X2500))|(~(in @ X2503 @ X2499)|~(X2500 @ X2503)|(ex1 @ X2499 @ X2500)))))))&((((setadjoin @ X2504 @ emptyset)!=(setadjoin @ X2505 @ emptyset))|((X2504)=(X2505)))&((~(in @ (setadjoin @ X2508 @ emptyset) @ (setadjoin @ (setadjoin @ X2506 @ emptyset) @ (setadjoin @ (setadjoin @ X2506 @ (setadjoin @ X2507 @ emptyset)) @ emptyset)))|((X2506)=(X2508)))&((~(iskpair @ X2509)|(singleton @ (dsetconstr @ (setunion @ X2509) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X2509))))))&((~(singleton @ X2510)|(in @ (setunion @ X2510) @ X2510))&(((kfst @ (kpair @ X2511 @ X2512))=(X2511))&((~(in @ X2515 @ (cartprod @ X2513 @ X2514))|(in @ (kfst @ X2515) @ X2513))&((((setadjoin @ (setadjoin @ X2516 @ emptyset) @ (setadjoin @ (setadjoin @ X2516 @ (setadjoin @ X2517 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2518 @ emptyset) @ (setadjoin @ (setadjoin @ X2518 @ (setadjoin @ X2519 @ emptyset)) @ emptyset)))|((X2516)=(X2518)))&((((kpair @ X2520 @ X2521)!=(kpair @ X2522 @ X2523))|((X2520)=(X2522)))&((((X2524)!=(X2525))|((setadjoin @ X2524 @ (setadjoin @ X2525 @ emptyset))=(setadjoin @ X2524 @ emptyset)))&((((X2526)!=(X2527))|((setadjoin @ (setadjoin @ X2526 @ emptyset) @ (setadjoin @ (setadjoin @ X2526 @ (setadjoin @ X2527 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2526 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X2528 @ emptyset) @ (setadjoin @ (setadjoin @ X2528 @ (setadjoin @ X2529 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2530 @ emptyset) @ (setadjoin @ (setadjoin @ X2530 @ (setadjoin @ X2531 @ emptyset)) @ emptyset)))|(((X2530)!=(X2531))|((X2529)=(X2531))))&((((setadjoin @ X2532 @ (setadjoin @ X2533 @ emptyset))!=(setadjoin @ X2534 @ emptyset))|((X2532)=(X2533)))&((((setadjoin @ (setadjoin @ X2535 @ emptyset) @ (setadjoin @ (setadjoin @ X2535 @ (setadjoin @ X2536 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2537 @ emptyset) @ (setadjoin @ (setadjoin @ X2537 @ (setadjoin @ X2538 @ emptyset)) @ emptyset)))|((X2536)=(X2538)))&((((kpair @ X2539 @ X2540)!=(kpair @ X2541 @ X2542))|((X2540)=(X2542)))&((~(iskpair @ X2543)|(singleton @ (dsetconstr @ (setunion @ X2543) @ (^[Z0/* 3 */:$i]:(((X2543)=(kpair @ (kfst @ X2543) @ Z0)))))))&(((ksnd @ (kpair @ X2544 @ X2545))=(X2545))&((~(iskpair @ X2546)|((kpair @ (kfst @ X2546) @ (ksnd @ X2546))=(X2546)))&((~(in @ X2549 @ (cartprod @ X2547 @ X2548))|(in @ (ksnd @ X2549) @ X2548))&((~(in @ (kpair @ X2552 @ X2553) @ (cartprod @ X2550 @ X2551))|(in @ X2552 @ X2550))&((~(in @ (kpair @ X2556 @ X2557) @ (cartprod @ X2554 @ X2555))|(in @ X2557 @ X2555))&((~(in @ X2560 @ X2558)|(~(in @ X2561 @ X2559)|((kpair @ X2560 @ X2561)=(kpair @ X2560 @ X2561))))&((~(in @ X2564 @ X2562)|(~(in @ X2565 @ X2563)|((kfst @ (kpair @ X2564 @ X2565))=(X2564))))&((~(in @ X2568 @ X2566)|(~(in @ X2569 @ X2567)|((ksnd @ (kpair @ X2568 @ X2569))=(X2569))))&((~(in @ X2572 @ (cartprod @ X2570 @ X2571))|((kpair @ (kfst @ X2572) @ (ksnd @ X2572))=(X2572)))&((~(in @ X2576 @ X2573)|(~(in @ X2577 @ X2574)|(~(X2575 @ X2576 @ X2577)|(in @ (kpair @ X2576 @ X2577) @ (dpsetconstr @ X2573 @ X2574 @ X2575)))))&((subset @ (dpsetconstr @ X2578 @ X2579 @ X2580) @ (cartprod @ X2578 @ X2579))&((subset @ (dpsetconstr @ X2581 @ X2582 @ X2583) @ (cartprod @ X2581 @ X2582))&((~(in @ X2587 @ X2584)|(~(in @ X2588 @ X2585)|(~(in @ (kpair @ X2587 @ X2588) @ (dpsetconstr @ X2584 @ X2585 @ X2586))|(X2586 @ X2587 @ X2588))))&((~(in @ (kpair @ X2592 @ X2593) @ (dpsetconstr @ X2589 @ X2590 @ X2591))|(in @ X2592 @ X2589))&((~(in @ (kpair @ X2597 @ X2598) @ (dpsetconstr @ X2594 @ X2595 @ X2596))|(in @ X2598 @ X2595))&((~(in @ (kpair @ X2602 @ X2603) @ (dpsetconstr @ X2599 @ X2600 @ X2601))|(X2601 @ X2602 @ X2603))&((~(func @ X2604 @ X2605 @ X2606)|(~(in @ X2607 @ X2604)|(singleton @ (dsetconstr @ X2605 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2607 @ Z0) @ X2606)))))))&((~(func @ X2608 @ X2609 @ X2610)|(~(in @ X2611 @ X2608)|(in @ (setunion @ (dsetconstr @ X2609 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2611 @ Z0) @ X2610))))) @ X2609)))&((~(func @ X2612 @ X2613 @ X2614)|(~(in @ X2615 @ X2612)|(in @ (ap @ X2612 @ X2613 @ X2614 @ X2615) @ X2613)))&((~(in @ X2618 @ (funcSet @ X2616 @ X2617))|(func @ X2616 @ X2617 @ X2618))&((~(in @ X2621 @ (funcSet @ X2619 @ X2620))|(~(in @ X2622 @ X2619)|(in @ (ap @ X2619 @ X2620 @ X2621 @ X2622) @ X2620)))&((~(func @ X2623 @ X2624 @ X2625)|(in @ X2625 @ (funcSet @ X2623 @ X2624)))&((((in @ (esk64_3 @ X2626 @ X2627 @ X2628) @ X2626)|(func @ X2626 @ X2627 @ (dpsetconstr @ X2626 @ X2627 @ (^[Z0/* 3 */:$i]:($eq @ (X2628 @ Z0))))))&(~(in @ (X2628 @ (esk64_3 @ X2626 @ X2627 @ X2628)) @ X2627)|(func @ X2626 @ X2627 @ (dpsetconstr @ X2626 @ X2627 @ (^[Z0/* 3 */:$i]:($eq @ (X2628 @ Z0)))))))&((((in @ (esk65_3 @ X2630 @ X2631 @ X2632) @ X2630)|(func @ X2630 @ X2631 @ (lam @ X2630 @ X2631 @ X2632)))&(~(in @ (X2632 @ (esk65_3 @ X2630 @ X2631 @ X2632)) @ X2631)|(func @ X2630 @ X2631 @ (lam @ X2630 @ X2631 @ X2632))))&((((in @ (esk66_3 @ X2634 @ X2635 @ X2636) @ X2634)|(in @ (lam @ X2634 @ X2635 @ X2636) @ (funcSet @ X2634 @ X2635)))&(~(in @ (X2636 @ (esk66_3 @ X2634 @ X2635 @ X2636)) @ X2635)|(in @ (lam @ X2634 @ X2635 @ X2636) @ (funcSet @ X2634 @ X2635))))&((((in @ (esk67_4 @ X2638 @ X2639 @ X2640 @ X2641) @ X2638)|(~(in @ X2644 @ X2640)|(X2641 @ X2644))|~(subset @ X2640 @ (cartprod @ X2638 @ X2639)))&(((in @ (esk68_4 @ X2638 @ X2639 @ X2640 @ X2641) @ X2639)|(~(in @ X2644 @ X2640)|(X2641 @ X2644))|~(subset @ X2640 @ (cartprod @ X2638 @ X2639)))&(((in @ (kpair @ (esk67_4 @ X2638 @ X2639 @ X2640 @ X2641) @ (esk68_4 @ X2638 @ X2639 @ X2640 @ X2641)) @ X2640)|(~(in @ X2644 @ X2640)|(X2641 @ X2644))|~(subset @ X2640 @ (cartprod @ X2638 @ X2639)))&(~(X2641 @ (kpair @ (esk67_4 @ X2638 @ X2639 @ X2640 @ X2641) @ (esk68_4 @ X2638 @ X2639 @ X2640 @ X2641)))|(~(in @ X2644 @ X2640)|(X2641 @ X2644))|~(subset @ X2640 @ (cartprod @ X2638 @ X2639))))))&((((in @ (esk69_4 @ X2645 @ X2646 @ X2647 @ X2648) @ X2645)|(~(in @ X2651 @ X2647)|(X2648 @ X2651))|~(subset @ X2647 @ (cartprod @ X2645 @ X2646)))&(((in @ (esk70_4 @ X2645 @ X2646 @ X2647 @ X2648) @ X2646)|(~(in @ X2651 @ X2647)|(X2648 @ X2651))|~(subset @ X2647 @ (cartprod @ X2645 @ X2646)))&(((in @ (kpair @ (esk69_4 @ X2645 @ X2646 @ X2647 @ X2648) @ (esk70_4 @ X2645 @ X2646 @ X2647 @ X2648)) @ X2647)|(~(in @ X2651 @ X2647)|(X2648 @ X2651))|~(subset @ X2647 @ (cartprod @ X2645 @ X2646)))&(~(X2648 @ (kpair @ (esk69_4 @ X2645 @ X2646 @ X2647 @ X2648) @ (esk70_4 @ X2645 @ X2646 @ X2647 @ X2648)))|(~(in @ X2651 @ X2647)|(X2648 @ X2651))|~(subset @ X2647 @ (cartprod @ X2645 @ X2646))))))&((~(ex1 @ X2652 @ X2653)|(~(in @ X2654 @ X2652)|(~(in @ X2655 @ X2652)|(~(X2653 @ X2654)|(~(X2653 @ X2655)|((X2654)=(X2655)))))))&((~(func @ X2656 @ X2657 @ X2658)|(~(in @ X2659 @ X2656)|(in @ (kpair @ X2659 @ (ap @ X2656 @ X2657 @ X2658 @ X2659)) @ X2658)))&((~(in @ X2662 @ (funcSet @ X2660 @ X2661))|(~(in @ X2663 @ X2660)|(in @ (kpair @ X2663 @ (ap @ X2660 @ X2661 @ X2662 @ X2663)) @ X2662)))&((~(func @ X2664 @ X2665 @ X2666)|(~(in @ X2667 @ X2664)|(~(in @ X2668 @ X2665)|(~(in @ (kpair @ X2667 @ X2668) @ X2666)|((ap @ X2664 @ X2665 @ X2666 @ X2667)=(X2668))))))&((((in @ (esk71_4 @ X2669 @ X2670 @ X2671 @ X2672) @ X2669)|(~(in @ X2674 @ X2669)|(~(in @ X2675 @ X2670)|(~(in @ (kpair @ X2674 @ X2675) @ X2672)|(in @ (kpair @ X2674 @ X2675) @ X2671))))|~(func @ X2669 @ X2670 @ X2672)|~(func @ X2669 @ X2670 @ X2671))&(((ap @ X2669 @ X2670 @ X2671 @ (esk71_4 @ X2669 @ X2670 @ X2671 @ X2672))!=(ap @ X2669 @ X2670 @ X2672 @ (esk71_4 @ X2669 @ X2670 @ X2671 @ X2672)))|(~(in @ X2674 @ X2669)|(~(in @ X2675 @ X2670)|(~(in @ (kpair @ X2674 @ X2675) @ X2672)|(in @ (kpair @ X2674 @ X2675) @ X2671))))|~(func @ X2669 @ X2670 @ X2672)|~(func @ X2669 @ X2670 @ X2671)))&((~(in @ X2678 @ (funcSet @ X2676 @ X2677))|(~(in @ X2679 @ X2676)|(~(in @ X2680 @ X2677)|(~(in @ (kpair @ X2679 @ X2680) @ X2678)|((ap @ X2676 @ X2677 @ X2678 @ X2679)=(X2680))))))&((((in @ (esk72_4 @ X2681 @ X2682 @ X2683 @ X2684) @ X2681)|(subset @ X2683 @ X2684)|~(subset @ X2684 @ (cartprod @ X2681 @ X2682))|~(subset @ X2683 @ (cartprod @ X2681 @ X2682)))&(((in @ (esk73_4 @ X2681 @ X2682 @ X2683 @ X2684) @ X2682)|(subset @ X2683 @ X2684)|~(subset @ X2684 @ (cartprod @ X2681 @ X2682))|~(subset @ X2683 @ (cartprod @ X2681 @ X2682)))&(((in @ (kpair @ (esk72_4 @ X2681 @ X2682 @ X2683 @ X2684) @ (esk73_4 @ X2681 @ X2682 @ X2683 @ X2684)) @ X2683)|(subset @ X2683 @ X2684)|~(subset @ X2684 @ (cartprod @ X2681 @ X2682))|~(subset @ X2683 @ (cartprod @ X2681 @ X2682)))&(~(in @ (kpair @ (esk72_4 @ X2681 @ X2682 @ X2683 @ X2684) @ (esk73_4 @ X2681 @ X2682 @ X2683 @ X2684)) @ X2684)|(subset @ X2683 @ X2684)|~(subset @ X2684 @ (cartprod @ X2681 @ X2682))|~(subset @ X2683 @ (cartprod @ X2681 @ X2682))))))&(((((in @ (esk76_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2687)|((X2689)=(X2690))|(in @ (esk74_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2687)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688)))&(((in @ (esk77_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2688)|((X2689)=(X2690))|(in @ (esk74_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2687)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688)))&(((in @ (kpair @ (esk76_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk77_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2690)|((X2689)=(X2690))|(in @ (esk74_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2687)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688)))&(~(in @ (kpair @ (esk76_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk77_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2689)|((X2689)=(X2690))|(in @ (esk74_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2687)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688))))))&((((in @ (esk76_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2687)|((X2689)=(X2690))|(in @ (esk75_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2688)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688)))&(((in @ (esk77_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2688)|((X2689)=(X2690))|(in @ (esk75_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2688)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688)))&(((in @ (kpair @ (esk76_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk77_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2690)|((X2689)=(X2690))|(in @ (esk75_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2688)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688)))&(~(in @ (kpair @ (esk76_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk77_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2689)|((X2689)=(X2690))|(in @ (esk75_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2688)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688))))))&((((in @ (esk76_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2687)|((X2689)=(X2690))|(in @ (kpair @ (esk74_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk75_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2689)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688)))&(((in @ (esk77_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2688)|((X2689)=(X2690))|(in @ (kpair @ (esk74_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk75_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2689)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688)))&(((in @ (kpair @ (esk76_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk77_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2690)|((X2689)=(X2690))|(in @ (kpair @ (esk74_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk75_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2689)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688)))&(~(in @ (kpair @ (esk76_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk77_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2689)|((X2689)=(X2690))|(in @ (kpair @ (esk74_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk75_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2689)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688))))))&(((in @ (esk76_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2687)|((X2689)=(X2690))|~(in @ (kpair @ (esk74_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk75_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2690)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688)))&(((in @ (esk77_4 @ X2687 @ X2688 @ X2689 @ X2690) @ X2688)|((X2689)=(X2690))|~(in @ (kpair @ (esk74_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk75_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2690)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688)))&(((in @ (kpair @ (esk76_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk77_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2690)|((X2689)=(X2690))|~(in @ (kpair @ (esk74_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk75_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2690)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688)))&(~(in @ (kpair @ (esk76_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk77_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2689)|((X2689)=(X2690))|~(in @ (kpair @ (esk74_4 @ X2687 @ X2688 @ X2689 @ X2690) @ (esk75_4 @ X2687 @ X2688 @ X2689 @ X2690)) @ X2690)|~(subset @ X2690 @ (cartprod @ X2687 @ X2688))|~(subset @ X2689 @ (cartprod @ X2687 @ X2688)))))))))&((((in @ (esk78_4 @ X2695 @ X2696 @ X2697 @ X2698) @ X2695)|((X2697)=(X2698))|~(func @ X2695 @ X2696 @ X2698)|~(func @ X2695 @ X2696 @ X2697))&(((ap @ X2695 @ X2696 @ X2697 @ (esk78_4 @ X2695 @ X2696 @ X2697 @ X2698))!=(ap @ X2695 @ X2696 @ X2698 @ (esk78_4 @ X2695 @ X2696 @ X2697 @ X2698)))|((X2697)=(X2698))|~(func @ X2695 @ X2696 @ X2698)|~(func @ X2695 @ X2696 @ X2697)))&((((in @ (esk79_4 @ X2700 @ X2701 @ X2702 @ X2703) @ X2700)|((X2702)=(X2703))|~(in @ X2703 @ (funcSet @ X2700 @ X2701))|~(in @ X2702 @ (funcSet @ X2700 @ X2701)))&(((ap @ X2700 @ X2701 @ X2702 @ (esk79_4 @ X2700 @ X2701 @ X2702 @ X2703))!=(ap @ X2700 @ X2701 @ X2703 @ (esk79_4 @ X2700 @ X2701 @ X2702 @ X2703)))|((X2702)=(X2703))|~(in @ X2703 @ (funcSet @ X2700 @ X2701))|~(in @ X2702 @ (funcSet @ X2700 @ X2701))))&((~(in @ X2707 @ (funcSet @ X2705 @ X2706))|(~(in @ X2708 @ X2705)|((ap @ X2705 @ X2706 @ X2707 @ X2708)=(ap @ X2705 @ X2706 @ X2707 @ X2708))))&((~(func @ X2709 @ X2710 @ X2711)|(~(in @ X2712 @ X2709)|((ap @ X2709 @ X2710 @ X2711 @ X2712)=(ap @ X2709 @ X2710 @ X2711 @ X2712))))&((((in @ (esk80_3 @ X2713 @ X2714 @ X2715) @ X2713)|(~(in @ X2717 @ X2713)|((ap @ X2713 @ X2714 @ (lam @ X2713 @ X2714 @ X2715) @ X2717)=(X2715 @ X2717))))&(~(in @ (X2715 @ (esk80_3 @ X2713 @ X2714 @ X2715)) @ X2714)|(~(in @ X2717 @ X2713)|((ap @ X2713 @ X2714 @ (lam @ X2713 @ X2714 @ X2715) @ X2717)=(X2715 @ X2717)))))&((~(func @ X2718 @ X2719 @ X2720)|((lam @ X2718 @ X2719 @ (ap @ X2718 @ X2719 @ X2720))=(X2720)))&((((in @ (esk81_3 @ X2721 @ X2722 @ X2723) @ X2721)|((lam @ X2721 @ X2722 @ X2723)=(lam @ X2721 @ X2722 @ X2723)))&(~(in @ (X2723 @ (esk81_3 @ X2721 @ X2722 @ X2723)) @ X2722)|((lam @ X2721 @ X2722 @ X2723)=(lam @ X2721 @ X2722 @ X2723))))&((((in @ (esk82_3 @ X2725 @ X2726 @ X2727) @ X2725)|(~(in @ X2729 @ X2725)|((ap @ X2725 @ X2726 @ (lam @ X2725 @ X2726 @ X2727) @ X2729)=(X2727 @ X2729))))&(~(in @ (X2727 @ (esk82_3 @ X2725 @ X2726 @ X2727)) @ X2726)|(~(in @ X2729 @ X2725)|((ap @ X2725 @ X2726 @ (lam @ X2725 @ X2726 @ X2727) @ X2729)=(X2727 @ X2729)))))&((~(in @ X2732 @ (funcSet @ X2730 @ X2731))|((lam @ X2730 @ X2731 @ (ap @ X2730 @ X2731 @ X2732))=(X2732)))&((~(in @ X2735 @ X2733)|(~(in @ X2736 @ X2733)|((X2734)|(in @ X2736 @ (dsetconstr @ X2733 @ (^[Z0/* 9 */:$i]:((((X2734)&((Z0)=(X2735)))|(~((X2734))&((Z0)=(X2736)))))))))))&((~(in @ X2739 @ X2737)|(~(in @ X2740 @ X2737)|((X2738)|((dsetconstr @ X2737 @ (^[Z0/* 9 */:$i]:((((X2738)&((Z0)=(X2739)))|(~((X2738))&((Z0)=(X2740)))))))=(setadjoin @ X2740 @ emptyset)))))&((~(in @ X2743 @ X2741)|(~(in @ X2744 @ X2741)|(~(X2742)|(in @ X2743 @ (dsetconstr @ X2741 @ (^[Z0/* 9 */:$i]:((((X2742)&((Z0)=(X2743)))|(~((X2742))&((Z0)=(X2744)))))))))))&((~(in @ X2747 @ X2745)|(~(in @ X2748 @ X2745)|(~(X2746)|((dsetconstr @ X2745 @ (^[Z0/* 9 */:$i]:((((X2746)&((Z0)=(X2747)))|(~((X2746))&((Z0)=(X2748)))))))=(setadjoin @ X2747 @ emptyset)))))&((~(in @ X2751 @ X2749)|(~(in @ X2752 @ X2749)|(singleton @ (dsetconstr @ X2749 @ (^[Z0/* 9 */:$i]:((((X2750)&((Z0)=(X2751)))|(~((X2750))&((Z0)=(X2752))))))))))&((~(in @ X2755 @ X2753)|(~(in @ X2756 @ X2753)|(in @ (if @ X2753 @ ((X2754)) @ X2755 @ X2756) @ X2753)))&((~(singleton @ X2757)|(~(in @ X2758 @ X2757)|((setunion @ X2757)=(X2758))))&((~(in @ X2761 @ X2759)|(~(in @ X2762 @ X2759)|(~(X2760)|((if @ X2759 @ ((X2760)) @ X2761 @ X2762)=(X2761)))))&((~(in @ X2765 @ X2763)|(~(in @ X2766 @ X2763)|((X2764)|((if @ X2763 @ ((X2764)) @ X2765 @ X2766)=(X2766)))))&((~(in @ X2769 @ X2767)|(~(in @ X2770 @ X2767)|(in @ (if @ X2767 @ ((X2768)) @ X2769 @ X2770) @ (setadjoin @ X2769 @ (setadjoin @ X2770 @ emptyset)))))&((~(in @ X2772 @ (powerset @ X2771))|(~(in @ X2773 @ (powerset @ X2771))|(in @ (binintersect @ X2772 @ X2773) @ (powerset @ X2771))))&((~(in @ X2775 @ (powerset @ X2774))|(~(in @ X2776 @ (powerset @ X2774))|(in @ (binunion @ X2775 @ X2776) @ (powerset @ X2774))))&((~(in @ X2778 @ (powerset @ X2777))|(in @ (powerset @ X2778) @ (powerset @ (powerset @ X2777))))&((~(in @ X2780 @ (powerset @ X2779))|(~(in @ X2781 @ (powerset @ X2779))|(in @ (setminus @ X2780 @ X2781) @ (powerset @ X2779))))&((~(in @ X2783 @ (powerset @ X2782))|(in @ (setminus @ X2782 @ X2783) @ (powerset @ X2782)))&(((((in @ (esk84_3 @ X2784 @ X2785 @ X2786) @ X2784)|((X2785)=(X2786))|(in @ (esk83_3 @ X2784 @ X2785 @ X2786) @ X2784)|~(in @ X2786 @ (powerset @ X2784))|~(in @ X2785 @ (powerset @ X2784)))&(((in @ (esk84_3 @ X2784 @ X2785 @ X2786) @ X2786)|((X2785)=(X2786))|(in @ (esk83_3 @ X2784 @ X2785 @ X2786) @ X2784)|~(in @ X2786 @ (powerset @ X2784))|~(in @ X2785 @ (powerset @ X2784)))&(~(in @ (esk84_3 @ X2784 @ X2785 @ X2786) @ X2785)|((X2785)=(X2786))|(in @ (esk83_3 @ X2784 @ X2785 @ X2786) @ X2784)|~(in @ X2786 @ (powerset @ X2784))|~(in @ X2785 @ (powerset @ X2784)))))&((((in @ (esk84_3 @ X2784 @ X2785 @ X2786) @ X2784)|((X2785)=(X2786))|(in @ (esk83_3 @ X2784 @ X2785 @ X2786) @ X2785)|~(in @ X2786 @ (powerset @ X2784))|~(in @ X2785 @ (powerset @ X2784)))&(((in @ (esk84_3 @ X2784 @ X2785 @ X2786) @ X2786)|((X2785)=(X2786))|(in @ (esk83_3 @ X2784 @ X2785 @ X2786) @ X2785)|~(in @ X2786 @ (powerset @ X2784))|~(in @ X2785 @ (powerset @ X2784)))&(~(in @ (esk84_3 @ X2784 @ X2785 @ X2786) @ X2785)|((X2785)=(X2786))|(in @ (esk83_3 @ X2784 @ X2785 @ X2786) @ X2785)|~(in @ X2786 @ (powerset @ X2784))|~(in @ X2785 @ (powerset @ X2784)))))&(((in @ (esk84_3 @ X2784 @ X2785 @ X2786) @ X2784)|((X2785)=(X2786))|~(in @ (esk83_3 @ X2784 @ X2785 @ X2786) @ X2786)|~(in @ X2786 @ (powerset @ X2784))|~(in @ X2785 @ (powerset @ X2784)))&(((in @ (esk84_3 @ X2784 @ X2785 @ X2786) @ X2786)|((X2785)=(X2786))|~(in @ (esk83_3 @ X2784 @ X2785 @ X2786) @ X2786)|~(in @ X2786 @ (powerset @ X2784))|~(in @ X2785 @ (powerset @ X2784)))&(~(in @ (esk84_3 @ X2784 @ X2785 @ X2786) @ X2785)|((X2785)=(X2786))|~(in @ (esk83_3 @ X2784 @ X2785 @ X2786) @ X2786)|~(in @ X2786 @ (powerset @ X2784))|~(in @ X2785 @ (powerset @ X2784)))))))&((((in @ (esk85_3 @ X2789 @ X2790 @ X2791) @ X2789)|(subset @ X2790 @ X2791)|~(in @ X2791 @ (powerset @ X2789))|~(in @ X2790 @ (powerset @ X2789)))&(((in @ (esk85_3 @ X2789 @ X2790 @ X2791) @ X2790)|(subset @ X2790 @ X2791)|~(in @ X2791 @ (powerset @ X2789))|~(in @ X2790 @ (powerset @ X2789)))&(~(in @ (esk85_3 @ X2789 @ X2790 @ X2791) @ X2791)|(subset @ X2790 @ X2791)|~(in @ X2791 @ (powerset @ X2789))|~(in @ X2790 @ (powerset @ X2789)))))&((((in @ (esk86_3 @ X2793 @ X2794 @ X2795) @ X2793)|(in @ X2794 @ (powerset @ X2795))|~(in @ X2795 @ (powerset @ X2793))|~(in @ X2794 @ (powerset @ X2793)))&(((in @ (esk86_3 @ X2793 @ X2794 @ X2795) @ X2794)|(in @ X2794 @ (powerset @ X2795))|~(in @ X2795 @ (powerset @ X2793))|~(in @ X2794 @ (powerset @ X2793)))&(~(in @ (esk86_3 @ X2793 @ X2794 @ X2795) @ X2795)|(in @ X2794 @ (powerset @ X2795))|~(in @ X2795 @ (powerset @ X2793))|~(in @ X2794 @ (powerset @ X2793)))))&((~(in @ X2798 @ (powerset @ X2797))|(~(in @ X2799 @ (powerset @ X2797))|(~(in @ X2800 @ X2797)|(~(in @ X2798 @ (powerset @ X2799))|(~(in @ X2800 @ X2798)|(in @ X2800 @ X2799))))))&((~(in @ X2802 @ (powerset @ X2801))|(~(in @ X2803 @ X2801)|(~(in @ X2803 @ X2802)|~(in @ X2803 @ (setminus @ X2801 @ X2802)))))&((~(in @ X2805 @ (powerset @ X2804))|(~(in @ X2806 @ X2804)|((in @ X2806 @ (setminus @ X2804 @ X2805))|(in @ X2806 @ X2805))))&((~(in @ X2808 @ (powerset @ X2807))|(~(in @ X2809 @ (powerset @ X2807))|(~(in @ X2810 @ X2807)|((in @ X2810 @ X2808)|~(in @ X2810 @ (binintersect @ X2808 @ X2809))))))&((~(in @ X2812 @ (powerset @ X2811))|(~(in @ X2813 @ (powerset @ X2811))|(~(in @ X2814 @ X2811)|((in @ X2814 @ X2813)|~(in @ X2814 @ (binintersect @ X2812 @ X2813))))))&((~(in @ X2816 @ (powerset @ X2815))|(~(in @ X2817 @ (powerset @ X2815))|(~(in @ X2818 @ X2815)|(~(subset @ X2816 @ (setminus @ X2815 @ X2817))|(~(in @ X2818 @ X2817)|~(in @ X2818 @ X2816))))))&((~(in @ X2820 @ (powerset @ X2819))|(~(in @ X2821 @ (powerset @ X2819))|(~(in @ X2822 @ X2819)|(~(subset @ X2820 @ X2821)|((in @ X2822 @ X2821)|~(in @ X2822 @ X2820))))))&((~(in @ X2824 @ (powerset @ X2823))|(~(in @ X2825 @ (powerset @ X2823))|(~(subset @ X2824 @ X2825)|(subset @ (setminus @ X2823 @ X2825) @ (setminus @ X2823 @ X2824)))))&((~(in @ X2827 @ (powerset @ X2826))|(~(in @ X2828 @ (powerset @ X2826))|(~(subset @ (setminus @ X2826 @ X2828) @ (setminus @ X2826 @ X2827))|(subset @ X2827 @ X2828))))&((~(in @ X2830 @ (powerset @ X2829))|(~(in @ X2831 @ X2829)|(~(in @ X2831 @ X2830)|(in @ X2831 @ (setminus @ X2829 @ (setminus @ X2829 @ X2830))))))&((~(in @ X2833 @ (powerset @ X2832))|(~(in @ X2834 @ X2832)|(~(in @ X2834 @ (setminus @ X2832 @ (setminus @ X2832 @ X2833)))|(in @ X2834 @ X2833))))&((~(in @ X2836 @ (powerset @ X2835))|(subset @ X2836 @ (setminus @ X2835 @ (setminus @ X2835 @ X2836))))&((~(in @ X2838 @ (powerset @ X2837))|(subset @ (setminus @ X2837 @ (setminus @ X2837 @ X2838)) @ X2838))&((~(in @ X2840 @ (powerset @ X2839))|((X2840)=(setminus @ X2839 @ (setminus @ X2839 @ X2840))))&((~(in @ X2842 @ (powerset @ X2841))|(~(in @ X2843 @ (powerset @ X2841))|(~(in @ X2844 @ X2841)|(~(in @ X2844 @ (setminus @ X2841 @ X2842))|~(in @ X2844 @ (binintersect @ X2842 @ X2843))))))&((~(in @ X2846 @ (powerset @ X2845))|(~(in @ X2847 @ (powerset @ X2845))|(~(in @ X2848 @ X2845)|(~(in @ X2848 @ (setminus @ X2845 @ X2846))|(in @ X2848 @ (setminus @ X2845 @ (binintersect @ X2846 @ X2847)))))))&((~(in @ X2850 @ (powerset @ X2849))|(~(in @ X2851 @ (powerset @ X2849))|(subset @ (setminus @ X2849 @ X2850) @ (setminus @ X2849 @ (binintersect @ X2850 @ X2851)))))&((~(in @ X2853 @ (powerset @ X2852))|(~(in @ X2854 @ (powerset @ X2852))|(in @ (setminus @ X2852 @ X2853) @ (powerset @ (setminus @ X2852 @ (binintersect @ X2853 @ X2854))))))&((~(in @ X2856 @ (powerset @ X2855))|(~(in @ X2857 @ (powerset @ X2855))|(~(subset @ X2856 @ (setminus @ X2855 @ X2857))|(~(in @ X2858 @ X2855)|(~(in @ X2858 @ X2857)|(in @ X2858 @ (setminus @ X2855 @ X2856)))))))&((~(in @ X2860 @ (powerset @ X2859))|(~(in @ X2861 @ (powerset @ X2859))|(~(subset @ X2860 @ (setminus @ X2859 @ X2861))|(subset @ X2861 @ (setminus @ X2859 @ X2860)))))&((~(in @ X2863 @ (powerset @ X2862))|(~(in @ X2864 @ (powerset @ X2862))|(~(in @ X2865 @ X2862)|((in @ X2865 @ (binunion @ X2863 @ X2864))|~(in @ X2865 @ X2863)))))&((~(in @ X2867 @ (powerset @ X2866))|(~(in @ X2868 @ (powerset @ X2866))|(~(in @ X2869 @ X2866)|((in @ X2869 @ (binunion @ X2867 @ X2868))|~(in @ X2869 @ X2868)))))&((~(in @ X2871 @ (powerset @ X2870))|(~(in @ X2872 @ (powerset @ X2870))|(~(in @ X2873 @ (powerset @ X2870))|(~(in @ X2874 @ X2870)|(~(in @ X2874 @ (binintersect @ X2871 @ X2872))|(in @ X2874 @ (binunion @ X2871 @ X2873)))))))&((~(in @ X2876 @ (powerset @ X2875))|(~(in @ X2877 @ (powerset @ X2875))|(~(in @ X2878 @ (powerset @ X2875))|(~(in @ X2879 @ X2875)|(~(in @ X2879 @ (binintersect @ X2876 @ X2877))|(in @ X2879 @ (binunion @ X2877 @ X2878)))))))&((~(in @ X2881 @ (powerset @ X2880))|(~(in @ X2882 @ (powerset @ X2880))|(~(in @ X2883 @ (powerset @ X2880))|(~(in @ X2884 @ X2880)|(~(in @ X2884 @ (binintersect @ X2881 @ X2882))|(in @ X2884 @ (binintersect @ (binunion @ X2881 @ X2883) @ (binunion @ X2882 @ X2883))))))))&((~(in @ X2886 @ (powerset @ X2885))|(~(in @ X2887 @ (powerset @ X2885))|(~(in @ X2888 @ (powerset @ X2885))|(in @ (binintersect @ X2886 @ X2887) @ (powerset @ (binintersect @ (binunion @ X2886 @ X2888) @ (binunion @ X2887 @ X2888)))))))&((~(in @ X2890 @ (powerset @ X2889))|(~(in @ X2891 @ (powerset @ X2889))|(~(in @ X2892 @ X2889)|(~(in @ X2892 @ (setminus @ X2889 @ (binunion @ X2890 @ X2891)))|~(in @ X2892 @ X2890)))))&((~(in @ X2894 @ (powerset @ X2893))|(~(in @ X2895 @ (powerset @ X2893))|(~(in @ X2896 @ X2893)|(~(in @ X2896 @ (setminus @ X2893 @ (binunion @ X2894 @ X2895)))|(in @ X2896 @ (setminus @ X2893 @ X2894))))))&(((((in @ X2901 @ X2899)|(X2900)|(in @ X2901 @ X2898)|~(in @ X2901 @ (binunion @ X2898 @ X2899))|~(in @ X2901 @ X2897)|~(in @ X2899 @ (powerset @ X2897))|~(in @ X2898 @ (powerset @ X2897)))&(~(X2900)|(X2900)|(in @ X2901 @ X2898)|~(in @ X2901 @ (binunion @ X2898 @ X2899))|~(in @ X2901 @ X2897)|~(in @ X2899 @ (powerset @ X2897))|~(in @ X2898 @ (powerset @ X2897))))&(((in @ X2901 @ X2899)|(X2900)|~(X2900)|~(in @ X2901 @ (binunion @ X2898 @ X2899))|~(in @ X2901 @ X2897)|~(in @ X2899 @ (powerset @ X2897))|~(in @ X2898 @ (powerset @ X2897)))&(~(X2900)|(X2900)|~(X2900)|~(in @ X2901 @ (binunion @ X2898 @ X2899))|~(in @ X2901 @ X2897)|~(in @ X2899 @ (powerset @ X2897))|~(in @ X2898 @ (powerset @ X2897)))))&((~(in @ X2903 @ (powerset @ X2902))|(~(in @ X2904 @ (powerset @ X2902))|(~(in @ X2905 @ X2902)|((in @ X2905 @ X2903)|((in @ X2905 @ X2904)|~(in @ X2905 @ (binunion @ X2903 @ X2904)))))))&((~(in @ X2907 @ (powerset @ X2906))|(~(in @ X2908 @ (powerset @ X2906))|(~(in @ X2909 @ X2906)|(~(in @ X2909 @ (setminus @ X2906 @ (binunion @ X2907 @ X2908)))|(in @ X2909 @ (setminus @ X2906 @ X2907))))))&((~(in @ X2911 @ (powerset @ X2910))|(~(in @ X2912 @ (powerset @ X2910))|(in @ (setminus @ X2910 @ (binunion @ X2911 @ X2912)) @ (powerset @ (setminus @ X2910 @ X2911)))))&((~(in @ X2914 @ (powerset @ X2913))|(~(in @ X2915 @ (powerset @ X2913))|(~(in @ X2916 @ X2913)|(~(in @ X2916 @ (setminus @ X2913 @ (binunion @ X2914 @ X2915)))|(in @ X2916 @ (setminus @ X2913 @ X2915))))))&((~(in @ X2918 @ (powerset @ X2917))|(~(in @ X2919 @ (powerset @ X2917))|(~(in @ X2920 @ X2917)|(~(in @ X2920 @ (setminus @ X2917 @ (binintersect @ X2918 @ X2919)))|(in @ X2920 @ (binunion @ (setminus @ X2917 @ X2918) @ (setminus @ X2917 @ X2919)))))))&((~(in @ X2922 @ (powerset @ X2921))|(~(in @ X2923 @ (powerset @ X2921))|(~(in @ X2924 @ X2921)|(~(in @ X2924 @ (binunion @ (setminus @ X2921 @ X2922) @ (setminus @ X2921 @ X2923)))|(in @ X2924 @ (setminus @ X2921 @ (binintersect @ X2922 @ X2923)))))))&((~(in @ X2926 @ (powerset @ X2925))|(~(in @ X2927 @ (powerset @ X2925))|((setminus @ X2925 @ (binintersect @ X2926 @ X2927))=(binunion @ (setminus @ X2925 @ X2926) @ (setminus @ X2925 @ X2927)))))&((~(in @ X2929 @ (powerset @ X2928))|(~(in @ X2930 @ (powerset @ X2928))|(~(in @ X2931 @ X2928)|(~(in @ X2931 @ (setminus @ X2928 @ (binunion @ X2929 @ X2930)))|(in @ X2931 @ (binintersect @ (setminus @ X2928 @ X2929) @ (setminus @ X2928 @ X2930)))))))&((~(in @ X2933 @ (powerset @ X2932))|(~(in @ X2934 @ (powerset @ X2932))|(~(in @ X2935 @ X2932)|(~(in @ X2935 @ (setminus @ X2932 @ X2933))|(~(in @ X2935 @ (setminus @ X2932 @ X2934))|(in @ X2935 @ (setminus @ X2932 @ (binunion @ X2933 @ X2934))))))))&((~(in @ X2937 @ (powerset @ X2936))|(~(in @ X2938 @ (powerset @ X2936))|(~(in @ X2939 @ X2936)|(~(in @ X2939 @ (binintersect @ (setminus @ X2936 @ X2937) @ (setminus @ X2936 @ X2938)))|(in @ X2939 @ (setminus @ X2936 @ (binunion @ X2937 @ X2938)))))))&((~(in @ X2941 @ (powerset @ X2940))|(~(in @ X2942 @ (powerset @ X2940))|((setminus @ X2940 @ (binunion @ X2941 @ X2942))=(binintersect @ (setminus @ X2940 @ X2941) @ (setminus @ X2940 @ X2942)))))&((~(in @ X2944 @ (powerset @ X2943))|(~(in @ X2945 @ (powerset @ X2943))|(~(in @ X2946 @ (binintersect @ X2944 @ X2945))|(in @ X2946 @ X2943))))&((~(in @ X2948 @ (powerset @ X2947))|(~(in @ X2949 @ (powerset @ X2947))|(~(in @ X2950 @ (powerset @ X2947))|(~(subset @ X2948 @ X2950)|(subset @ (binintersect @ X2948 @ X2949) @ X2950)))))&((~(in @ X2952 @ (powerset @ X2951))|(~(in @ X2953 @ (powerset @ X2951))|(~(in @ X2954 @ (powerset @ X2951))|(~(subset @ X2953 @ X2954)|(subset @ (binintersect @ X2952 @ X2953) @ X2954)))))&((~(in @ X2956 @ (powerset @ X2955))|(~(in @ X2957 @ (powerset @ X2955))|(~(in @ X2958 @ (powerset @ X2955))|(~(subset @ X2956 @ X2957)|(~(subset @ X2956 @ X2958)|(subset @ X2956 @ (binintersect @ X2957 @ X2958)))))))&((~(in @ X2960 @ (powerset @ X2959))|(~(in @ X2961 @ (powerset @ X2959))|(~(in @ X2962 @ (powerset @ X2959))|(~(in @ X2963 @ (powerset @ X2959))|(~(subset @ X2960 @ X2962)|(~(subset @ X2961 @ X2963)|(subset @ (binintersect @ X2960 @ X2961) @ (binintersect @ X2962 @ X2963))))))))&((~(in @ X2965 @ (powerset @ X2964))|(~(in @ X2966 @ (powerset @ X2964))|(in @ (setminus @ X2964 @ X2965) @ (powerset @ (setminus @ X2964 @ (binintersect @ X2965 @ X2966))))))&((~(in @ X2968 @ (powerset @ X2967))|(~(in @ X2969 @ (powerset @ X2967))|(~(in @ X2970 @ (powerset @ X2967))|(~(in @ X2971 @ (powerset @ X2967))|((setminus @ X2967 @ (binintersect @ (binunion @ X2968 @ X2969) @ (binunion @ X2970 @ X2971)))=(binunion @ (binintersect @ (setminus @ X2967 @ X2968) @ (setminus @ X2967 @ X2969)) @ (binintersect @ (setminus @ X2967 @ X2970) @ (setminus @ X2967 @ X2971))))))))&((~(in @ X2973 @ (powerset @ X2972))|(~(in @ X2974 @ (powerset @ X2972))|(~(in @ X2975 @ (powerset @ X2972))|(in @ (binintersect @ X2973 @ X2974) @ (powerset @ (binintersect @ (binunion @ X2973 @ X2975) @ (binunion @ X2974 @ X2975)))))))&((~(in @ X2977 @ (powerset @ X2976))|(~(in @ X2978 @ (powerset @ X2976))|(~(subset @ X2977 @ (setminus @ X2976 @ X2978))|(subset @ X2978 @ (setminus @ X2976 @ X2977)))))&((~(in @ X2980 @ (powerset @ X2979))|(~(in @ X2981 @ (powerset @ X2979))|(in @ (setminus @ X2979 @ (binunion @ X2980 @ X2981)) @ (powerset @ (setminus @ X2979 @ X2980)))))&((((in @ (esk87_3 @ X2982 @ X2983 @ X2984) @ X2982)|(~(in @ X2987 @ X2983)|(X2984 @ X2987))|~(subset @ X2983 @ (cartprod @ X2982 @ X2982)))&(((in @ (esk88_3 @ X2982 @ X2983 @ X2984) @ X2982)|(~(in @ X2987 @ X2983)|(X2984 @ X2987))|~(subset @ X2983 @ (cartprod @ X2982 @ X2982)))&(((in @ (kpair @ (esk87_3 @ X2982 @ X2983 @ X2984) @ (esk88_3 @ X2982 @ X2983 @ X2984)) @ X2983)|(~(in @ X2987 @ X2983)|(X2984 @ X2987))|~(subset @ X2983 @ (cartprod @ X2982 @ X2982)))&(~(X2984 @ (kpair @ (esk87_3 @ X2982 @ X2983 @ X2984) @ (esk88_3 @ X2982 @ X2983 @ X2984)))|(~(in @ X2987 @ X2983)|(X2984 @ X2987))|~(subset @ X2983 @ (cartprod @ X2982 @ X2982))))))&((~(in @ X2989 @ (breln1Set @ X2988))|(subset @ X2989 @ (cartprod @ X2988 @ X2988)))&((((in @ (esk89_3 @ X2990 @ X2991 @ X2992) @ X2990)|(~(in @ X2995 @ (breln1Set @ X2991))|(~(reflwellordering @ X2991 @ X2995)|(~(in @ X2996 @ X2990)|(singleton @ (dsetconstr @ X2991 @ (^[Z0/* 8 */:$i]:((X2992 @ X2996 @ Z0&![X1561:$i]:(((in @ X1561 @ X2991)=>(X2992 @ X2996 @ X1561=>(in @ (kpair @ Z0 @ X1561) @ X2995)))))))))))))&(~(in @ X2994 @ X2991)|~(X2992 @ (esk89_3 @ X2990 @ X2991 @ X2992) @ X2994)|(~(in @ X2995 @ (breln1Set @ X2991))|(~(reflwellordering @ X2991 @ X2995)|(~(in @ X2996 @ X2990)|(singleton @ (dsetconstr @ X2991 @ (^[Z0/* 8 */:$i]:((X2992 @ X2996 @ Z0&![X1561:$i]:(((in @ X1561 @ X2991)=>(X2992 @ X2996 @ X1561=>(in @ (kpair @ Z0 @ X1561) @ X2995))))))))))))))&((subset @ (dpsetconstr @ X2997 @ X2997 @ X2998) @ (cartprod @ X2997 @ X2997))&((((in @ (esk90_3 @ X2999 @ X3000 @ X3001) @ X2999)|(~(in @ X3004 @ X3000)|(X3001 @ X3004))|~(subset @ X3000 @ (cartprod @ X2999 @ X2999)))&(((in @ (esk91_3 @ X2999 @ X3000 @ X3001) @ X2999)|(~(in @ X3004 @ X3000)|(X3001 @ X3004))|~(subset @ X3000 @ (cartprod @ X2999 @ X2999)))&(((in @ (kpair @ (esk90_3 @ X2999 @ X3000 @ X3001) @ (esk91_3 @ X2999 @ X3000 @ X3001)) @ X3000)|(~(in @ X3004 @ X3000)|(X3001 @ X3004))|~(subset @ X3000 @ (cartprod @ X2999 @ X2999)))&(~(X3001 @ (kpair @ (esk90_3 @ X2999 @ X3000 @ X3001) @ (esk91_3 @ X2999 @ X3000 @ X3001)))|(~(in @ X3004 @ X3000)|(X3001 @ X3004))|~(subset @ X3000 @ (cartprod @ X2999 @ X2999))))))&((((in @ (esk92_3 @ X3005 @ X3006 @ X3007) @ X3005)|(subset @ X3006 @ X3007)|~(subset @ X3007 @ (cartprod @ X3005 @ X3005))|~(subset @ X3006 @ (cartprod @ X3005 @ X3005)))&(((in @ (esk93_3 @ X3005 @ X3006 @ X3007) @ X3005)|(subset @ X3006 @ X3007)|~(subset @ X3007 @ (cartprod @ X3005 @ X3005))|~(subset @ X3006 @ (cartprod @ X3005 @ X3005)))&(((in @ (kpair @ (esk92_3 @ X3005 @ X3006 @ X3007) @ (esk93_3 @ X3005 @ X3006 @ X3007)) @ X3006)|(subset @ X3006 @ X3007)|~(subset @ X3007 @ (cartprod @ X3005 @ X3005))|~(subset @ X3006 @ (cartprod @ X3005 @ X3005)))&(~(in @ (kpair @ (esk92_3 @ X3005 @ X3006 @ X3007) @ (esk93_3 @ X3005 @ X3006 @ X3007)) @ X3007)|(subset @ X3006 @ X3007)|~(subset @ X3007 @ (cartprod @ X3005 @ X3005))|~(subset @ X3006 @ (cartprod @ X3005 @ X3005))))))&(((((in @ (esk96_3 @ X3010 @ X3011 @ X3012) @ X3010)|((X3011)=(X3012))|(in @ (esk94_3 @ X3010 @ X3011 @ X3012) @ X3010)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010)))&(((in @ (esk97_3 @ X3010 @ X3011 @ X3012) @ X3010)|((X3011)=(X3012))|(in @ (esk94_3 @ X3010 @ X3011 @ X3012) @ X3010)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010)))&(((in @ (kpair @ (esk96_3 @ X3010 @ X3011 @ X3012) @ (esk97_3 @ X3010 @ X3011 @ X3012)) @ X3012)|((X3011)=(X3012))|(in @ (esk94_3 @ X3010 @ X3011 @ X3012) @ X3010)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010)))&(~(in @ (kpair @ (esk96_3 @ X3010 @ X3011 @ X3012) @ (esk97_3 @ X3010 @ X3011 @ X3012)) @ X3011)|((X3011)=(X3012))|(in @ (esk94_3 @ X3010 @ X3011 @ X3012) @ X3010)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010))))))&((((in @ (esk96_3 @ X3010 @ X3011 @ X3012) @ X3010)|((X3011)=(X3012))|(in @ (esk95_3 @ X3010 @ X3011 @ X3012) @ X3010)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010)))&(((in @ (esk97_3 @ X3010 @ X3011 @ X3012) @ X3010)|((X3011)=(X3012))|(in @ (esk95_3 @ X3010 @ X3011 @ X3012) @ X3010)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010)))&(((in @ (kpair @ (esk96_3 @ X3010 @ X3011 @ X3012) @ (esk97_3 @ X3010 @ X3011 @ X3012)) @ X3012)|((X3011)=(X3012))|(in @ (esk95_3 @ X3010 @ X3011 @ X3012) @ X3010)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010)))&(~(in @ (kpair @ (esk96_3 @ X3010 @ X3011 @ X3012) @ (esk97_3 @ X3010 @ X3011 @ X3012)) @ X3011)|((X3011)=(X3012))|(in @ (esk95_3 @ X3010 @ X3011 @ X3012) @ X3010)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010))))))&((((in @ (esk96_3 @ X3010 @ X3011 @ X3012) @ X3010)|((X3011)=(X3012))|(in @ (kpair @ (esk94_3 @ X3010 @ X3011 @ X3012) @ (esk95_3 @ X3010 @ X3011 @ X3012)) @ X3011)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010)))&(((in @ (esk97_3 @ X3010 @ X3011 @ X3012) @ X3010)|((X3011)=(X3012))|(in @ (kpair @ (esk94_3 @ X3010 @ X3011 @ X3012) @ (esk95_3 @ X3010 @ X3011 @ X3012)) @ X3011)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010)))&(((in @ (kpair @ (esk96_3 @ X3010 @ X3011 @ X3012) @ (esk97_3 @ X3010 @ X3011 @ X3012)) @ X3012)|((X3011)=(X3012))|(in @ (kpair @ (esk94_3 @ X3010 @ X3011 @ X3012) @ (esk95_3 @ X3010 @ X3011 @ X3012)) @ X3011)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010)))&(~(in @ (kpair @ (esk96_3 @ X3010 @ X3011 @ X3012) @ (esk97_3 @ X3010 @ X3011 @ X3012)) @ X3011)|((X3011)=(X3012))|(in @ (kpair @ (esk94_3 @ X3010 @ X3011 @ X3012) @ (esk95_3 @ X3010 @ X3011 @ X3012)) @ X3011)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010))))))&(((in @ (esk96_3 @ X3010 @ X3011 @ X3012) @ X3010)|((X3011)=(X3012))|~(in @ (kpair @ (esk94_3 @ X3010 @ X3011 @ X3012) @ (esk95_3 @ X3010 @ X3011 @ X3012)) @ X3012)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010)))&(((in @ (esk97_3 @ X3010 @ X3011 @ X3012) @ X3010)|((X3011)=(X3012))|~(in @ (kpair @ (esk94_3 @ X3010 @ X3011 @ X3012) @ (esk95_3 @ X3010 @ X3011 @ X3012)) @ X3012)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010)))&(((in @ (kpair @ (esk96_3 @ X3010 @ X3011 @ X3012) @ (esk97_3 @ X3010 @ X3011 @ X3012)) @ X3012)|((X3011)=(X3012))|~(in @ (kpair @ (esk94_3 @ X3010 @ X3011 @ X3012) @ (esk95_3 @ X3010 @ X3011 @ X3012)) @ X3012)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010)))&(~(in @ (kpair @ (esk96_3 @ X3010 @ X3011 @ X3012) @ (esk97_3 @ X3010 @ X3011 @ X3012)) @ X3011)|((X3011)=(X3012))|~(in @ (kpair @ (esk94_3 @ X3010 @ X3011 @ X3012) @ (esk95_3 @ X3010 @ X3011 @ X3012)) @ X3012)|~(subset @ X3012 @ (cartprod @ X3010 @ X3010))|~(subset @ X3011 @ (cartprod @ X3010 @ X3010)))))))))&((~(subset @ X3018 @ (cartprod @ X3017 @ X3017))|(subset @ (breln1invset @ X3017 @ X3018) @ (cartprod @ X3017 @ X3017)))&((~(subset @ X3020 @ (cartprod @ X3019 @ X3019))|(~(in @ X3021 @ X3019)|(~(in @ X3022 @ X3019)|(~(in @ (kpair @ X3021 @ X3022) @ X3020)|(in @ (kpair @ X3022 @ X3021) @ (breln1invset @ X3019 @ X3020))))))&((~(subset @ X3024 @ (cartprod @ X3023 @ X3023))|(~(in @ X3025 @ X3023)|(~(in @ X3026 @ X3023)|(~(in @ (kpair @ X3026 @ X3025) @ (breln1invset @ X3023 @ X3024))|(in @ (kpair @ X3025 @ X3026) @ X3024)))))&((~(subset @ X3028 @ (cartprod @ X3027 @ X3027))|(~(subset @ X3029 @ (cartprod @ X3027 @ X3027))|(subset @ (breln1compset @ X3027 @ X3028 @ X3029) @ (cartprod @ X3027 @ X3027))))&((~(subset @ X3031 @ (cartprod @ X3030 @ X3030))|(~(subset @ X3032 @ (cartprod @ X3030 @ X3030))|(~(in @ X3033 @ X3030)|(~(in @ X3034 @ X3030)|(~(in @ X3035 @ X3030)|(~(in @ (kpair @ X3033 @ X3035) @ X3031)|(~(in @ (kpair @ X3035 @ X3034) @ X3032)|(in @ (kpair @ X3033 @ X3034) @ (breln1compset @ X3030 @ X3031 @ X3032)))))))))&(((((in @ (esk98_5 @ X3036 @ X3037 @ X3038 @ X3039 @ X3040) @ X3036)|~(in @ (kpair @ X3039 @ X3040) @ (breln1compset @ X3036 @ X3037 @ X3038))|~(in @ X3040 @ X3036)|~(in @ X3039 @ X3036)|~(subset @ X3038 @ (cartprod @ X3036 @ X3036))|~(subset @ X3037 @ (cartprod @ X3036 @ X3036)))&((in @ (kpair @ X3039 @ (esk98_5 @ X3036 @ X3037 @ X3038 @ X3039 @ X3040)) @ X3037)|~(in @ (kpair @ X3039 @ X3040) @ (breln1compset @ X3036 @ X3037 @ X3038))|~(in @ X3040 @ X3036)|~(in @ X3039 @ X3036)|~(subset @ X3038 @ (cartprod @ X3036 @ X3036))|~(subset @ X3037 @ (cartprod @ X3036 @ X3036))))&((in @ (kpair @ (esk98_5 @ X3036 @ X3037 @ X3038 @ X3039 @ X3040) @ X3040) @ X3038)|~(in @ (kpair @ X3039 @ X3040) @ (breln1compset @ X3036 @ X3037 @ X3038))|~(in @ X3040 @ X3036)|~(in @ X3039 @ X3036)|~(subset @ X3038 @ (cartprod @ X3036 @ X3036))|~(subset @ X3037 @ (cartprod @ X3036 @ X3036))))&((subset @ esk100_0 @ (cartprod @ esk99_0 @ esk99_0))&((subset @ esk101_0 @ (cartprod @ esk99_0 @ esk99_0))&((in @ esk102_0 @ esk99_0)&((in @ esk103_0 @ esk99_0)&((in @ (kpair @ esk102_0 @ esk103_0) @ (breln1compset @ esk99_0 @ esk100_0 @ esk101_0))&((~(in @ X3048 @ esk99_0)|(~(in @ (kpair @ esk102_0 @ X3048) @ esk100_0)|(~(in @ (kpair @ X3048 @ esk103_0) @ esk101_0)|(epred2_0))))&~(epred2_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_394])])])])])])])). 273.56/35.12 thf(c_0_396, negated_conjecture, ![X2:$i]:(((epred2_0)|~((in @ X2 @ esk99_0))|~((in @ (kpair @ esk102_0 @ X2) @ esk100_0))|~((in @ (kpair @ X2 @ esk103_0) @ esk101_0)))), inference(split_conjunct,[status(thm)],[c_0_395])). 273.56/35.12 thf(c_0_397, negated_conjecture, ~((epred2_0)), inference(split_conjunct,[status(thm)],[c_0_395])). 273.56/35.12 thf(c_0_398, plain, ![X3100:$i, X3101:$i, X3102:$i]:(((~(epred7_2 @ X3102 @ X3101 @ X3100)|(in @ (kpair @ X3101 @ X3100) @ X3102))&(~(in @ (kpair @ X3101 @ X3100) @ X3102)|(epred7_2 @ X3102 @ X3101 @ X3100)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])). 273.56/35.12 thf(c_0_399, negated_conjecture, ![X2:$i]:((~((in @ (kpair @ X2 @ esk103_0) @ esk101_0))|~((in @ (kpair @ esk102_0 @ X2) @ esk100_0))|~((in @ X2 @ esk99_0)))), inference(sr,[status(thm)],[c_0_396, c_0_397])). 273.56/35.12 thf(c_0_400, plain, ![X2:$i, X3:$i, X4:$i]:(((in @ (kpair @ X3 @ X4) @ X2)|~((epred7_2 @ X2 @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_398])). 273.56/35.12 thf(c_0_401, negated_conjecture, ![X2:$i, X7:$i, X5:$i, X4:$i, X3:$i]:(((in @ (kpair @ X2 @ (esk98_5 @ X3 @ X4 @ X5 @ X2 @ X7)) @ X4)|~((in @ (kpair @ X2 @ X7) @ (breln1compset @ X3 @ X4 @ X5)))|~((in @ X7 @ X3))|~((in @ X2 @ X3))|~((subset @ X5 @ (cartprod @ X3 @ X3)))|~((subset @ X4 @ (cartprod @ X3 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_395])). 273.56/35.12 thf(c_0_402, negated_conjecture, (in @ (kpair @ esk102_0 @ esk103_0) @ (breln1compset @ esk99_0 @ esk100_0 @ esk101_0)), inference(split_conjunct,[status(thm)],[c_0_395])). 273.56/35.12 thf(c_0_403, negated_conjecture, (subset @ esk101_0 @ (cartprod @ esk99_0 @ esk99_0)), inference(split_conjunct,[status(thm)],[c_0_395])). 273.56/35.12 thf(c_0_404, negated_conjecture, (subset @ esk100_0 @ (cartprod @ esk99_0 @ esk99_0)), inference(split_conjunct,[status(thm)],[c_0_395])). 273.56/35.12 thf(c_0_405, negated_conjecture, (in @ esk103_0 @ esk99_0), inference(split_conjunct,[status(thm)],[c_0_395])). 273.56/35.12 thf(c_0_406, negated_conjecture, (in @ esk102_0 @ esk99_0), inference(split_conjunct,[status(thm)],[c_0_395])). 273.56/35.12 thf(c_0_407, negated_conjecture, ![X7:$i, X5:$i, X4:$i, X3:$i, X2:$i]:(((in @ (esk98_5 @ X2 @ X3 @ X4 @ X5 @ X7) @ X2)|~((in @ (kpair @ X5 @ X7) @ (breln1compset @ X2 @ X3 @ X4)))|~((in @ X7 @ X2))|~((in @ X5 @ X2))|~((subset @ X4 @ (cartprod @ X2 @ X2)))|~((subset @ X3 @ (cartprod @ X2 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_395])). 273.56/35.12 thf(c_0_408, negated_conjecture, ![X7:$i, X5:$i, X4:$i, X3:$i, X2:$i]:(((in @ (kpair @ (esk98_5 @ X2 @ X3 @ X4 @ X5 @ X7) @ X7) @ X4)|~((in @ (kpair @ X5 @ X7) @ (breln1compset @ X2 @ X3 @ X4)))|~((in @ X7 @ X2))|~((in @ X5 @ X2))|~((subset @ X4 @ (cartprod @ X2 @ X2)))|~((subset @ X3 @ (cartprod @ X2 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_395])). 273.56/35.12 thf(c_0_409, negated_conjecture, ![X2:$i]:((~((in @ (kpair @ esk102_0 @ X2) @ esk100_0))|~((epred7_2 @ esk101_0 @ X2 @ esk103_0))|~((in @ X2 @ esk99_0)))), inference(spm,[status(thm)],[c_0_399, c_0_400])). 273.56/35.12 thf(c_0_410, negated_conjecture, (in @ (kpair @ esk102_0 @ (esk98_5 @ esk99_0 @ esk100_0 @ esk101_0 @ esk102_0 @ esk103_0)) @ esk100_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401, c_0_402]), c_0_403]), c_0_404]), c_0_405]), c_0_406])])). 273.56/35.12 thf(c_0_411, negated_conjecture, (in @ (esk98_5 @ esk99_0 @ esk100_0 @ esk101_0 @ esk102_0 @ esk103_0) @ esk99_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407, c_0_402]), c_0_403]), c_0_404]), c_0_405]), c_0_406])])). 273.56/35.12 thf(c_0_412, plain, ![X2:$i, X3:$i, X4:$i]:(((epred7_2 @ X4 @ X2 @ X3)|~((in @ (kpair @ X2 @ X3) @ X4)))), inference(split_conjunct,[status(thm)],[c_0_398])). 273.56/35.12 thf(c_0_413, negated_conjecture, (in @ (kpair @ (esk98_5 @ esk99_0 @ esk100_0 @ esk101_0 @ esk102_0 @ esk103_0) @ esk103_0) @ esk101_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_408, c_0_402]), c_0_403]), c_0_404]), c_0_405]), c_0_406])])). 273.56/35.12 thf(c_0_414, negated_conjecture, ~((epred7_2 @ esk101_0 @ (esk98_5 @ esk99_0 @ esk100_0 @ esk101_0 @ esk102_0 @ esk103_0) @ esk103_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_409, c_0_410]), c_0_411])])). 273.56/35.12 thf(c_0_415, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_412, c_0_413]), c_0_414]), ['proof']). 273.56/35.12 # SZS output end CNFRefutation 273.56/35.12 # Parsed axioms : 647 273.56/35.12 # Removed by relevancy pruning/SinE : 0 273.56/35.12 # Initial clauses : 886 273.56/35.12 # Removed in clause preprocessing : 382 273.56/35.12 # Initial clauses in saturation : 504 273.56/35.12 # Processed clauses : 4150 273.56/35.12 # ...of these trivial : 17 273.56/35.12 # ...subsumed : 2298 273.56/35.12 # ...remaining for further processing : 1835 273.56/35.12 # Other redundant clauses eliminated : 95 273.56/35.12 # Clauses deleted for lack of memory : 0 273.56/35.12 # Backward-subsumed : 103 273.56/35.12 # Backward-rewritten : 18 273.56/35.12 # Generated clauses : 28346 273.56/35.12 # ...of the previous two non-redundant : 27424 273.56/35.12 # ...aggressively subsumed : 0 273.56/35.12 # Contextual simplify-reflections : 22 273.56/35.12 # Paramodulations : 28161 273.56/35.12 # Factorizations : 37 273.56/35.12 # NegExts : 16 273.56/35.12 # Equation resolutions : 102 273.56/35.12 # Disequality decompositions : 0 273.56/35.12 # Total rewrite steps : 1685 273.56/35.12 # ...of those cached : 1345 273.56/35.12 # Propositional unsat checks : 0 273.56/35.12 # Propositional check models : 0 273.56/35.12 # Propositional check unsatisfiable : 0 273.56/35.12 # Propositional clauses : 0 273.56/35.12 # Propositional clauses after purity: 0 273.56/35.12 # Propositional unsat core size : 0 273.56/35.12 # Propositional preprocessing time : 0.000 273.56/35.12 # Propositional encoding time : 0.000 273.56/35.12 # Propositional solver time : 0.000 273.56/35.12 # Success case prop preproc time : 0.000 273.56/35.12 # Success case prop encoding time : 0.000 273.56/35.12 # Success case prop solver time : 0.000 273.56/35.12 # Current number of processed clauses : 1253 273.56/35.12 # Positive orientable unit clauses : 84 273.56/35.12 # Positive unorientable unit clauses: 0 273.56/35.12 # Negative unit clauses : 20 273.56/35.12 # Non-unit-clauses : 1149 273.56/35.12 # Current number of unprocessed clauses: 24033 273.56/35.12 # ...number of literals in the above : 94455 273.56/35.12 # Current number of archived formulas : 0 273.56/35.12 # Current number of archived clauses : 564 273.56/35.12 # Clause-clause subsumption calls (NU) : 298268 273.56/35.12 # Rec. Clause-clause subsumption calls : 122588 273.56/35.12 # Non-unit clause-clause subsumptions : 1482 273.56/35.12 # Unit Clause-clause subsumption calls : 2887 273.56/35.12 # Rewrite failures with RHS unbound : 0 273.56/35.12 # BW rewrite match attempts : 44 273.56/35.12 # BW rewrite match successes : 12 273.56/35.12 # Condensation attempts : 0 273.56/35.12 # Condensation successes : 0 273.56/35.12 # Termbank termtop insertions : 622916 273.56/35.12 # Search garbage collected termcells : 33531 273.56/35.12 273.56/35.12 # ------------------------------------------------- 273.56/35.12 # User time : 32.804 s 273.56/35.12 # System time : 1.060 s 273.56/35.12 # Total time : 33.864 s 273.56/35.12 # Maximum resident set size: 9848 pages 273.56/35.12 273.56/35.12 # ------------------------------------------------- 273.56/35.12 # User time : 32.821 s 273.56/35.12 # System time : 1.066 s 273.56/35.12 # Total time : 33.887 s 273.56/35.12 # Maximum resident set size: 2748 pages 273.56/35.12 % E---3.1 exiting 273.56/35.12 % E exiting 273.56/35.12 EOF