0.08/0.13 % Problem : Vampire---4.8_14789 : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : run_E %s %d THM 0.13/0.34 % Computer : n026.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 : Mon Jul 3 13:22:37 EDT 2023 0.13/0.34 % CPUTime : 0.18/0.47 Running higher-order theorem provingRunning: /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.IokILhfeVg/Vampire---4.8_14789 0.18/0.48 # Version: 3.1pre001-ho 268.68/34.34 # Preprocessing class: HSLMSLSSLLLCHFA. 268.68/34.34 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 268.68/34.34 # Starting ehoh_best5 with 180s (1) cores 268.68/34.34 # Starting almost_fo_3_lam with 180s (1) cores 268.68/34.34 # Starting new_bool_5 with 180s (1) cores 268.68/34.34 # Starting pre_casc_3 with 180s (1) cores 268.68/34.34 # Starting ho_unfolding_8 with 180s (1) cores 268.68/34.34 # Starting new_ho_10_cnf2 with 180s (1) cores 268.68/34.34 # Starting new_bool_3 with 180s (1) cores 268.68/34.34 # Starting new_ho_5 with 180s (1) cores 268.68/34.34 # new_bool_5 with pid 14969 completed with status 0 268.68/34.34 # Result found by new_bool_5 268.68/34.34 # Preprocessing class: HSLMSLSSLLLCHFA. 268.68/34.34 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 268.68/34.34 # Starting ehoh_best5 with 180s (1) cores 268.68/34.34 # Starting almost_fo_3_lam with 180s (1) cores 268.68/34.34 # Starting new_bool_5 with 180s (1) cores 268.68/34.34 # SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0) 268.68/34.34 # Search class: HGHSM-FSLM32-MHFMMSBN 268.68/34.34 # Scheduled 10 strats onto 1 cores with 180 seconds (180 total) 268.68/34.34 # Starting ho_unfolding_8 with 33s (1) cores 268.68/34.34 # ho_unfolding_8 with pid 14975 completed with status 7 268.68/34.34 # Starting new_bool_5 with 19s (1) cores 268.68/34.34 # new_bool_5 with pid 15221 completed with status 0 268.68/34.34 # Result found by new_bool_5 268.68/34.34 # Preprocessing class: HSLMSLSSLLLCHFA. 268.68/34.34 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 268.68/34.34 # Starting ehoh_best5 with 180s (1) cores 268.68/34.34 # Starting almost_fo_3_lam with 180s (1) cores 268.68/34.34 # Starting new_bool_5 with 180s (1) cores 268.68/34.34 # SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0) 268.68/34.34 # Search class: HGHSM-FSLM32-MHFMMSBN 268.68/34.34 # Scheduled 10 strats onto 1 cores with 180 seconds (180 total) 268.68/34.34 # Starting ho_unfolding_8 with 33s (1) cores 268.68/34.34 # ho_unfolding_8 with pid 14975 completed with status 7 268.68/34.34 # Starting new_bool_5 with 19s (1) cores 268.68/34.34 # Preprocessing time : 0.004 s 268.68/34.34 # Presaturation interreduction done 268.68/34.34 268.68/34.34 # Proof found! 268.68/34.34 # SZS status Theorem 268.68/34.34 # SZS output start CNFRefutation 268.68/34.34 thf(decl_22, type, in: $i > $i > $o). 268.68/34.34 thf(decl_23, type, exu: ($i > $o) > $o). 268.68/34.34 thf(decl_24, type, setextAx: $o). 268.68/34.34 thf(decl_25, type, emptyset: $i). 268.68/34.34 thf(decl_26, type, emptysetAx: $o). 268.68/34.34 thf(decl_27, type, setadjoin: $i > $i > $i). 268.68/34.34 thf(decl_28, type, setadjoinAx: $o). 268.68/34.34 thf(decl_29, type, powerset: $i > $i). 268.68/34.34 thf(decl_30, type, powersetAx: $o). 268.68/34.34 thf(decl_31, type, setunion: $i > $i). 268.68/34.34 thf(decl_32, type, setunionAx: $o). 268.68/34.34 thf(decl_33, type, omega: $i). 268.68/34.34 thf(decl_34, type, omega0Ax: $o). 268.68/34.34 thf(decl_35, type, omegaSAx: $o). 268.68/34.34 thf(decl_36, type, omegaIndAx: $o). 268.68/34.34 thf(decl_37, type, replAx: $o). 268.68/34.34 thf(decl_38, type, foundationAx: $o). 268.68/34.34 thf(decl_39, type, wellorderingAx: $o). 268.68/34.34 thf(decl_40, type, descr: ($i > $o) > $i). 268.68/34.34 thf(decl_41, type, descrp: $o). 268.68/34.34 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 268.68/34.34 thf(decl_43, type, dsetconstrI: $o). 268.68/34.34 thf(decl_44, type, dsetconstrEL: $o). 268.68/34.34 thf(decl_45, type, dsetconstrER: $o). 268.68/34.34 thf(decl_46, type, exuE1: $o). 268.68/34.34 thf(decl_47, type, prop2set: $o > $i). 268.68/34.34 thf(decl_48, type, prop2setE: $o). 268.68/34.34 thf(decl_49, type, emptysetE: $o). 268.68/34.34 thf(decl_50, type, emptysetimpfalse: $o). 268.68/34.34 thf(decl_51, type, notinemptyset: $o). 268.68/34.34 thf(decl_52, type, exuE3e: $o). 268.68/34.34 thf(decl_53, type, setext: $o). 268.68/34.34 thf(decl_54, type, emptyI: $o). 268.68/34.34 thf(decl_55, type, noeltsimpempty: $o). 268.68/34.34 thf(decl_56, type, setbeta: $o). 268.68/34.34 thf(decl_57, type, nonempty: $i > $o). 268.68/34.34 thf(decl_58, type, nonemptyE1: $o). 268.68/34.34 thf(decl_59, type, nonemptyI: $o). 268.68/34.34 thf(decl_60, type, nonemptyI1: $o). 268.68/34.34 thf(decl_61, type, setadjoinIL: $o). 268.68/34.34 thf(decl_62, type, emptyinunitempty: $o). 268.68/34.34 thf(decl_63, type, setadjoinIR: $o). 268.68/34.34 thf(decl_64, type, setadjoinE: $o). 268.68/34.34 thf(decl_65, type, setadjoinOr: $o). 268.68/34.34 thf(decl_66, type, setoftrueEq: $o). 268.68/34.34 thf(decl_67, type, powersetI: $o). 268.68/34.34 thf(decl_68, type, emptyinPowerset: $o). 268.68/34.34 thf(decl_69, type, emptyInPowerset: $o). 268.68/34.34 thf(decl_70, type, powersetE: $o). 268.68/34.34 thf(decl_71, type, setunionI: $o). 268.68/34.34 thf(decl_72, type, setunionE: $o). 268.68/34.34 thf(decl_73, type, subPowSU: $o). 268.68/34.34 thf(decl_74, type, exuE2: $o). 268.68/34.34 thf(decl_75, type, nonemptyImpWitness: $o). 268.68/34.34 thf(decl_76, type, uniqinunit: $o). 268.68/34.34 thf(decl_77, type, notinsingleton: $o). 268.68/34.34 thf(decl_78, type, eqinunit: $o). 268.68/34.34 thf(decl_79, type, singletonsswitch: $o). 268.68/34.34 thf(decl_80, type, upairsetE: $o). 268.68/34.34 thf(decl_81, type, upairsetIL: $o). 268.68/34.34 thf(decl_82, type, upairsetIR: $o). 268.68/34.34 thf(decl_83, type, emptyE1: $o). 268.68/34.34 thf(decl_84, type, vacuousDall: $o). 268.68/34.34 thf(decl_85, type, quantDeMorgan1: $o). 268.68/34.34 thf(decl_86, type, quantDeMorgan2: $o). 268.68/34.34 thf(decl_87, type, quantDeMorgan3: $o). 268.68/34.34 thf(decl_88, type, quantDeMorgan4: $o). 268.68/34.34 thf(decl_89, type, prop2setI: $o). 268.68/34.34 thf(decl_91, type, prop2set2propI: $o). 268.68/34.34 thf(decl_92, type, notdexE: $o). 268.68/34.34 thf(decl_93, type, notdallE: $o). 268.68/34.34 thf(decl_94, type, exuI1: $o). 268.68/34.34 thf(decl_95, type, exuI3: $o). 268.68/34.34 thf(decl_96, type, exuI2: $o). 268.68/34.34 thf(decl_97, type, inCongP: $o). 268.68/34.34 thf(decl_98, type, in__Cong: $o). 268.68/34.34 thf(decl_99, type, exuE3u: $o). 268.68/34.34 thf(decl_100, type, exu__Cong: $o). 268.68/34.34 thf(decl_101, type, emptyset__Cong: $o). 268.68/34.34 thf(decl_102, type, setadjoin__Cong: $o). 268.68/34.34 thf(decl_103, type, powerset__Cong: $o). 268.68/34.34 thf(decl_104, type, setunion__Cong: $o). 268.68/34.34 thf(decl_105, type, omega__Cong: $o). 268.68/34.34 thf(decl_106, type, exuEu: $o). 268.68/34.34 thf(decl_107, type, descr__Cong: $o). 268.68/34.34 thf(decl_108, type, dsetconstr__Cong: $o). 268.68/34.34 thf(decl_109, type, subset: $i > $i > $o). 268.68/34.34 thf(decl_112, type, subsetI1: $o). 268.68/34.34 thf(decl_113, type, eqimpsubset2: $o). 268.68/34.34 thf(decl_114, type, eqimpsubset1: $o). 268.68/34.34 thf(decl_115, type, subsetI2: $o). 268.68/34.34 thf(decl_116, type, emptysetsubset: $o). 268.68/34.34 thf(decl_117, type, subsetE: $o). 268.68/34.34 thf(decl_118, type, subsetE2: $o). 268.68/34.34 thf(decl_119, type, notsubsetI: $o). 268.68/34.34 thf(decl_120, type, notequalI1: $o). 268.68/34.34 thf(decl_121, type, notequalI2: $o). 268.68/34.34 thf(decl_122, type, subsetRefl: $o). 268.68/34.34 thf(decl_123, type, subsetTrans: $o). 268.68/34.34 thf(decl_124, type, setadjoinSub: $o). 268.68/34.34 thf(decl_125, type, setadjoinSub2: $o). 268.68/34.34 thf(decl_126, type, subset2powerset: $o). 268.68/34.34 thf(decl_127, type, setextsub: $o). 268.68/34.34 thf(decl_128, type, subsetemptysetimpeq: $o). 268.68/34.34 thf(decl_129, type, powersetI1: $o). 268.68/34.34 thf(decl_130, type, powersetE1: $o). 268.68/34.34 thf(decl_131, type, inPowerset: $o). 268.68/34.34 thf(decl_132, type, powersetsubset: $o). 268.68/34.34 thf(decl_133, type, sepInPowerset: $o). 268.68/34.34 thf(decl_134, type, sepSubset: $o). 268.68/34.34 thf(decl_135, type, binunion: $i > $i > $i). 268.68/34.34 thf(decl_136, type, binunionIL: $o). 268.68/34.34 thf(decl_137, type, upairset2IR: $o). 268.68/34.34 thf(decl_138, type, binunionIR: $o). 268.68/34.34 thf(decl_139, type, binunionEcases: $o). 268.68/34.34 thf(decl_140, type, binunionE: $o). 268.68/34.34 thf(decl_141, type, binunionLsub: $o). 268.68/34.34 thf(decl_142, type, binunionRsub: $o). 268.68/34.34 thf(decl_143, type, binintersect: $i > $i > $i). 268.68/34.34 thf(decl_144, type, binintersectI: $o). 268.68/34.34 thf(decl_145, type, binintersectSubset5: $o). 268.68/34.34 thf(decl_146, type, binintersectEL: $o). 268.68/34.34 thf(decl_147, type, binintersectLsub: $o). 268.68/34.34 thf(decl_148, type, binintersectSubset2: $o). 268.68/34.34 thf(decl_149, type, binintersectSubset3: $o). 268.68/34.34 thf(decl_150, type, binintersectER: $o). 268.68/34.34 thf(decl_151, type, disjointsetsI1: $o). 268.68/34.34 thf(decl_152, type, binintersectRsub: $o). 268.68/34.34 thf(decl_153, type, binintersectSubset4: $o). 268.68/34.34 thf(decl_154, type, binintersectSubset1: $o). 268.68/34.34 thf(decl_155, type, bs114d: $o). 268.68/34.34 thf(decl_157, type, setminus: $i > $i > $i). 268.68/34.34 thf(decl_158, type, setminusI: $o). 268.68/34.34 thf(decl_159, type, setminusEL: $o). 268.68/34.34 thf(decl_160, type, setminusER: $o). 268.68/34.34 thf(decl_161, type, setminusSubset2: $o). 268.68/34.34 thf(decl_162, type, setminusERneg: $o). 268.68/34.34 thf(decl_163, type, setminusELneg: $o). 268.68/34.34 thf(decl_164, type, setminusILneg: $o). 268.68/34.34 thf(decl_165, type, setminusIRneg: $o). 268.68/34.34 thf(decl_166, type, setminusLsub: $o). 268.68/34.34 thf(decl_167, type, setminusSubset1: $o). 268.68/34.34 thf(decl_168, type, symdiff: $i > $i > $i). 268.68/34.34 thf(decl_169, type, symdiffE: $o). 268.68/34.34 thf(decl_170, type, symdiffI1: $o). 268.68/34.34 thf(decl_171, type, symdiffI2: $o). 268.68/34.34 thf(decl_172, type, symdiffIneg1: $o). 268.68/34.34 thf(decl_173, type, symdiffIneg2: $o). 268.68/34.34 thf(decl_174, type, iskpair: $i > $o). 268.68/34.34 thf(decl_175, type, secondinupair: $o). 268.68/34.34 thf(decl_176, type, setukpairIL: $o). 268.68/34.34 thf(decl_177, type, setukpairIR: $o). 268.68/34.34 thf(decl_178, type, kpairiskpair: $o). 268.68/34.34 thf(decl_179, type, kpair: $i > $i > $i). 268.68/34.34 thf(decl_180, type, kpairp: $o). 268.68/34.34 thf(decl_181, type, cartprod: $i > $i > $i). 268.68/34.34 thf(decl_182, type, singletonsubset: $o). 268.68/34.34 thf(decl_183, type, singletoninpowerset: $o). 268.68/34.34 thf(decl_184, type, singletoninpowunion: $o). 268.68/34.34 thf(decl_185, type, upairset2E: $o). 268.68/34.34 thf(decl_186, type, upairsubunion: $o). 268.68/34.34 thf(decl_187, type, upairinpowunion: $o). 268.68/34.34 thf(decl_188, type, ubforcartprodlem1: $o). 268.68/34.34 thf(decl_189, type, ubforcartprodlem2: $o). 268.68/34.34 thf(decl_190, type, ubforcartprodlem3: $o). 268.68/34.34 thf(decl_191, type, cartprodpairin: $o). 268.68/34.34 thf(decl_192, type, cartprodmempair1: $o). 268.68/34.34 thf(decl_193, type, cartprodmempair: $o). 268.68/34.34 thf(decl_194, type, setunionE2: $o). 268.68/34.34 thf(decl_195, type, setunionsingleton1: $o). 268.68/34.34 thf(decl_196, type, setunionsingleton2: $o). 268.68/34.34 thf(decl_197, type, setunionsingleton: $o). 268.68/34.34 thf(decl_198, type, singleton: $i > $o). 268.68/34.34 thf(decl_199, type, singletonprop: $o). 268.68/34.34 thf(decl_200, type, ex1: $i > ($i > $o) > $o). 268.68/34.34 thf(decl_201, type, ex1E1: $o). 268.68/34.34 thf(decl_202, type, ex1I: $o). 268.68/34.34 thf(decl_203, type, ex1I2: $o). 268.68/34.34 thf(decl_204, type, singletonsuniq: $o). 268.68/34.34 thf(decl_209, type, setukpairinjL1: $o). 268.68/34.34 thf(decl_210, type, kfstsingleton: $o). 268.68/34.34 thf(decl_211, type, theprop: $o). 268.68/34.34 thf(decl_212, type, kfst: $i > $i). 268.68/34.34 thf(decl_213, type, kfstpairEq: $o). 268.68/34.34 thf(decl_214, type, cartprodfstin: $o). 268.68/34.34 thf(decl_215, type, setukpairinjL2: $o). 268.68/34.34 thf(decl_216, type, setukpairinjL: $o). 268.68/34.34 thf(decl_217, type, setukpairinjR11: $o). 268.68/34.34 thf(decl_218, type, setukpairinjR12: $o). 268.68/34.34 thf(decl_219, type, setukpairinjR1: $o). 268.68/34.34 thf(decl_220, type, upairequniteq: $o). 268.68/34.34 thf(decl_221, type, setukpairinjR2: $o). 268.68/34.34 thf(decl_222, type, setukpairinjR: $o). 268.68/34.34 thf(decl_223, type, ksndsingleton: $o). 268.68/34.34 thf(decl_224, type, ksnd: $i > $i). 268.68/34.34 thf(decl_225, type, ksndpairEq: $o). 268.68/34.34 thf(decl_226, type, kpairsurjEq: $o). 268.68/34.34 thf(decl_227, type, cartprodsndin: $o). 268.68/34.34 thf(decl_228, type, cartprodpairmemEL: $o). 268.68/34.34 thf(decl_229, type, cartprodpairmemER: $o). 268.68/34.34 thf(decl_230, type, cartprodmempaircEq: $o). 268.68/34.34 thf(decl_231, type, cartprodfstpairEq: $o). 268.68/34.34 thf(decl_232, type, cartprodsndpairEq: $o). 268.68/34.34 thf(decl_233, type, cartprodpairsurjEq: $o). 268.68/34.34 thf(decl_234, type, breln: $i > $i > $i > $o). 268.68/34.34 thf(decl_235, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 268.68/34.34 thf(decl_236, type, dpsetconstrI: $o). 268.68/34.34 thf(decl_237, type, dpsetconstrSub: $o). 268.68/34.34 thf(decl_238, type, setOfPairsIsBReln: $o). 268.68/34.34 thf(decl_239, type, dpsetconstrERa: $o). 268.68/34.34 thf(decl_240, type, dpsetconstrEL1: $o). 268.68/34.34 thf(decl_241, type, dpsetconstrEL2: $o). 268.68/34.34 thf(decl_242, type, dpsetconstrER: $o). 268.68/34.34 thf(decl_243, type, func: $i > $i > $i > $o). 268.68/34.34 thf(decl_244, type, funcSet: $i > $i > $i). 268.68/34.34 thf(decl_245, type, funcImageSingleton: $o). 268.68/34.34 thf(decl_246, type, apProp: $o). 268.68/34.34 thf(decl_247, type, ap: $i > $i > $i > $i > $i). 268.68/34.34 thf(decl_248, type, app: $o). 268.68/34.34 thf(decl_249, type, infuncsetfunc: $o). 268.68/34.34 thf(decl_250, type, ap2p: $o). 268.68/34.34 thf(decl_251, type, funcinfuncset: $o). 268.68/34.34 thf(decl_252, type, lamProp: $o). 268.68/34.34 thf(decl_253, type, lam: $i > $i > ($i > $i) > $i). 268.68/34.34 thf(decl_254, type, lamp: $o). 268.68/34.34 thf(decl_255, type, lam2p: $o). 268.68/34.34 thf(decl_256, type, brelnall1: $o). 268.68/34.34 thf(decl_257, type, brelnall2: $o). 268.68/34.34 thf(decl_258, type, ex1E2: $o). 268.68/34.34 thf(decl_259, type, funcGraphProp1: $o). 268.68/34.34 thf(decl_260, type, funcGraphProp3: $o). 268.68/34.34 thf(decl_261, type, funcGraphProp2: $o). 268.68/34.34 thf(decl_262, type, funcextLem: $o). 268.68/34.34 thf(decl_263, type, epred1_0: $o). 268.68/34.34 thf(decl_264, type, esk1_2: $i > $i > $i). 268.68/34.34 thf(decl_265, type, esk2_2: $i > $i > $i). 268.68/34.34 thf(decl_266, type, esk3_2: $i > $i > $i). 268.68/34.34 thf(decl_267, type, esk4_1: $i > $i). 268.68/34.34 thf(decl_268, type, esk5_2: ($i > $i > $o) > $i > $i). 268.68/34.34 thf(decl_269, type, esk6_2: ($i > $i > $o) > $i > $i). 268.68/34.34 thf(decl_270, type, esk7_3: ($i > $i > $o) > $i > $i > $i). 268.68/34.34 thf(decl_271, type, esk8_1: $i > $i). 268.68/34.34 thf(decl_272, type, esk9_1: ($i > $o) > $i). 268.68/34.34 thf(decl_273, type, esk10_1: ($i > $o) > $i). 268.68/34.34 thf(decl_274, type, esk11_2: $i > $i > $i). 268.68/34.34 thf(decl_275, type, esk12_2: $i > $i > $i). 268.68/34.34 thf(decl_276, type, esk13_1: $i > $i). 268.68/34.34 thf(decl_277, type, esk14_1: $i > $i). 268.68/34.34 thf(decl_278, type, esk15_1: $i > $i). 268.68/34.34 thf(decl_279, type, esk16_2: $i > $i > $i). 268.68/34.34 thf(decl_280, type, esk17_3: $i > $i > $o > $i). 268.68/34.34 thf(decl_281, type, esk18_1: ($i > $o) > $i). 268.68/34.34 thf(decl_282, type, esk19_1: $i > $i). 268.68/34.34 thf(decl_283, type, esk20_2: $i > ($i > $o) > $i). 268.68/34.34 thf(decl_284, type, esk21_2: $i > ($i > $o) > $i). 268.68/34.34 thf(decl_285, type, esk22_2: $i > ($i > $o) > $i). 268.68/34.34 thf(decl_286, type, esk23_2: $i > ($i > $o) > $i). 268.68/34.34 thf(decl_287, type, esk24_2: $i > ($i > $o) > $i). 268.68/34.34 thf(decl_288, type, esk25_2: $i > ($i > $o) > $i). 268.68/34.34 thf(decl_289, type, esk26_2: ($i > $o) > $i > $i). 268.68/34.34 thf(decl_290, type, esk27_1: ($i > $o) > $i). 268.68/34.34 thf(decl_291, type, esk28_1: ($i > $o) > $i). 268.68/34.34 thf(decl_292, type, esk29_2: ($i > $o) > $i > $i). 268.68/34.34 thf(decl_293, type, esk30_2: ($i > $o) > ($i > $o) > $i). 268.68/34.34 thf(decl_294, type, esk31_2: ($i > $o) > ($i > $o) > $i). 268.68/34.34 thf(decl_295, type, esk32_2: ($i > $o) > ($i > $o) > $i). 268.68/34.34 thf(decl_296, type, esk33_2: ($i > $o) > ($i > $o) > $i). 268.68/34.34 thf(decl_297, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i). 268.68/34.34 thf(decl_298, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i). 268.68/34.34 thf(decl_299, type, esk36_2: $i > $i > $i). 268.68/34.34 thf(decl_300, type, esk37_2: $i > $i > $i). 268.68/34.34 thf(decl_301, type, esk38_2: $i > $i > $i). 268.68/34.34 thf(decl_302, type, esk39_3: $i > $i > $i > $i). 268.68/34.34 thf(decl_303, type, esk40_3: $i > $i > $i > $i). 268.68/34.34 thf(decl_304, type, esk41_2: $i > $i > $i). 268.68/34.34 thf(decl_305, type, esk42_2: $i > ($i > $o) > $i). 268.68/34.34 thf(decl_306, type, esk43_2: $i > ($i > $o) > $i). 268.68/34.34 thf(decl_307, type, esk44_2: $i > ($i > $o) > $i). 268.68/34.34 thf(decl_308, type, esk45_3: $i > ($i > $o) > $i > $i). 268.68/34.34 thf(decl_309, type, esk46_2: $i > ($i > $o) > $i). 268.68/34.34 thf(decl_310, type, esk47_2: $i > ($i > $o) > $i). 268.68/34.34 thf(decl_311, type, esk48_3: $i > $i > ($i > $i) > $i). 268.68/34.34 thf(decl_312, type, esk49_3: $i > $i > ($i > $i) > $i). 268.68/34.34 thf(decl_313, type, esk50_3: $i > $i > ($i > $i) > $i). 268.68/34.34 thf(decl_314, type, esk51_4: $i > $i > $i > ($i > $o) > $i). 268.68/34.34 thf(decl_315, type, esk52_4: $i > $i > $i > ($i > $o) > $i). 268.68/34.34 thf(decl_316, type, esk53_4: $i > $i > $i > ($i > $o) > $i). 268.68/34.34 thf(decl_317, type, esk54_4: $i > $i > $i > ($i > $o) > $i). 268.68/34.34 thf(decl_318, type, esk55_4: $i > $i > $i > $i > $i). 268.68/34.34 thf(decl_319, type, esk56_0: $i). 268.68/34.34 thf(decl_320, type, esk57_0: $i). 268.68/34.34 thf(decl_321, type, esk58_0: $i). 268.68/34.34 thf(decl_322, type, esk59_0: $i). 268.68/34.34 thf(decl_323, type, esk60_0: $i). 268.68/34.34 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', dsetconstr__Cong)). 268.68/34.34 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', descr__Cong)). 268.68/34.34 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', exu__Cong)). 268.68/34.34 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.IokILhfeVg/Vampire---4.8_14789', emptyE1)). 268.68/34.34 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', exuE3e)). 268.68/34.34 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', dsetconstrER)). 268.68/34.34 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', dsetconstrEL)). 268.68/34.34 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', replAx)). 268.68/34.34 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', singletonprop)). 268.68/34.34 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', ex1E1)). 268.68/34.34 thf(ex1I2, axiom, ((ex1I2)<=>![X4:$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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', ex1I2)). 268.68/34.34 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', dpsetconstrI)). 268.68/34.34 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', dpsetconstrSub)). 268.68/34.34 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', dpsetconstrERa)). 268.68/34.34 thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', dpsetconstrER)). 268.68/34.34 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X30)))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', funcImageSingleton)). 268.68/34.34 thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X34:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X34 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X34 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', lam2p)). 268.68/34.34 thf(ex1E2, axiom, ((ex1E2)<=>![X4:$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.IokILhfeVg/Vampire---4.8_14789', ex1E2)). 268.68/34.34 thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X33:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X33 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X33 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', lamp)). 268.68/34.34 thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X31 @ X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', lamProp)). 268.68/34.34 thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X30))))) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', apProp)). 268.68/34.34 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', dpsetconstrEL2)). 268.68/34.34 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', dpsetconstrEL1)). 268.68/34.34 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setOfPairsIsBReln)). 268.68/34.34 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', ksndsingleton)). 268.68/34.34 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', kfstsingleton)). 268.68/34.34 thf(ex1I, axiom, ((ex1I)<=>![X4:$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.IokILhfeVg/Vampire---4.8_14789', ex1I)). 268.68/34.34 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', sepSubset)). 268.68/34.34 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', sepInPowerset)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', exuEu)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', exuE3u)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', exuI2)). 268.68/34.34 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', exuI3)). 268.68/34.34 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', exuI1)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', exuE2)). 268.68/34.34 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setoftrueEq)). 268.68/34.34 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', nonemptyI)). 268.68/34.34 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setbeta)). 268.68/34.34 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', exuE1)). 268.68/34.34 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', dsetconstrI)). 268.68/34.34 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', descrp)). 268.68/34.34 thf(funcGraphProp4, conjecture, (((emptysetAx)=>((((setunionAx)=>((((((((descrp)=>((dsetconstrI)=>((((exuE1)=>(((emptysetE)=>((emptysetimpfalse)=>(((((emptyI)=>(((setbeta)=>(((nonemptyI)=>((nonemptyI1)=>(((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>(((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>(((exuE2)=>((((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((((upairsetIR)=>(((((((((prop2set2propI)=>((notdexE)=>(((exuI1)=>((exuI3)=>((exuI2)=>((((exuE3u)=>(((emptyset__Cong)=>((((((exuEu)=>((((subsetI1)=>(((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>(((subsetE2)=>((notsubsetI)=>((notequalI1)=>(((subsetRefl)=>(((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((((powersetI1)=>((powersetE1)=>((inPowerset)=>((((((((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>(((binintersectSubset5)=>((((((((binintersectRsub)=>((((bs114d)=>((setminusI)=>((setminusEL)=>(((setminusSubset2)=>((((((setminusLsub)=>((setminusSubset1)=>(((symdiffI1)=>(((((secondinupair)=>(((((kpairp)=>((((singletoninpowunion)=>((upairset2E)=>(((upairinpowunion)=>(((ubforcartprodlem2)=>((ubforcartprodlem3)=>(((cartprodmempair1)=>((cartprodmempair)=>(((setunionsingleton1)=>(((setunionsingleton)=>((singletonprop)=>((ex1E1)=>(((ex1I2)=>(((setukpairinjL1)=>((((((((setukpairinjR11)=>(((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>(((((cartprodsndin)=>(((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>(((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>(((dpsetconstrERa)=>((((dpsetconstrER)=>((funcImageSingleton)=>(((app)=>((infuncsetfunc)=>((ap2p)=>(((((lam2p)=>(((brelnall2)=>(((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>![X4:$i, X5:$i, X30:$i]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:((((in @ (kpair @ X2 @ X3) @ X30)=>((ap @ X4 @ X5 @ X30 @ X2)=(X3)))<=(in @ X3 @ X5)))))<=(in @ X30 @ (funcSet @ X4 @ X5))))))))<=(ex1E2)))<=(brelnall1)))<=(lamp))<=(lamProp))<=(funcinfuncset)))))<=(apProp))))<=(dpsetconstrEL2))<=(dpsetconstrEL1)))<=(setOfPairsIsBReln)))))<=(cartprodsndpairEq)))))<=(cartprodpairmemEL)))<=(kpairsurjEq))<=(ksndpairEq))<=(ksndsingleton))))))<=(setukpairinjR12)))<=(setukpairinjL))<=(setukpairinjL2))<=(cartprodfstin))<=(kfstpairEq))<=(theprop))<=(kfstsingleton)))<=(singletonsuniq)))<=(ex1I)))))<=(setunionsingleton2)))<=(setunionE2))))<=(cartprodpairin))))<=(ubforcartprodlem1)))<=(upairsubunion))))<=(singletoninpowerset))<=(singletonsubset)))<=(kpairiskpair))<=(setukpairIR))<=(setukpairIL)))<=(symdiffIneg2))<=(symdiffIneg1))<=(symdiffI2)))<=(symdiffE))))<=(setminusIRneg))<=(setminusILneg))<=(setminusELneg))<=(setminusERneg)))<=(setminusER)))))<=(binintersectSubset1))<=(binintersectSubset4)))<=(disjointsetsI1))<=(binintersectER))<=(binintersectSubset3))<=(binintersectSubset2))<=(binintersectLsub))<=(binintersectEL)))<=(binintersectI))))))<=(binunionIR))<=(upairset2IR))<=(binunionIL))<=(sepSubset))<=(sepInPowerset))<=(powersetsubset)))))<=(subsetemptysetimpeq))<=(setextsub)))))<=(subsetTrans)))<=(notequalI2)))))<=(subsetE)))))<=(eqimpsubset2)))<=(dsetconstr__Cong))<=(descr__Cong)))<=(omega__Cong))<=(setunion__Cong))<=(powerset__Cong))<=(setadjoin__Cong)))<=(exu__Cong)))<=(in__Cong))<=(inCongP)))))<=(notdallE))))<=(prop2setI))<=(quantDeMorgan4))<=(quantDeMorgan3))<=(quantDeMorgan2))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1)))<=(upairsetIL))<=(upairsetE)))))<=(uniqinunit))<=(nonemptyImpWitness)))<=(subPowSU))))))<=(emptyinPowerset))))))))<=(setadjoinIL))))<=(nonemptyE1)))<=(noeltsimpempty)))<=(setext))<=(exuE3e))<=(notinemptyset))))<=(prop2setE)))<=(dsetconstrER))<=(dsetconstrEL))))<=(wellorderingAx))<=(foundationAx))<=(replAx))<=(omegaIndAx))<=(omegaSAx))<=(omega0Ax)))<=(powersetAx))<=(setadjoinAx)))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', funcGraphProp4)). 268.68/34.34 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', vacuousDall)). 268.68/34.34 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setextAx)). 268.68/34.34 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', subsetemptysetimpeq)). 268.68/34.34 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setextsub)). 268.68/34.34 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', subsetTrans)). 268.68/34.34 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', notsubsetI)). 268.68/34.34 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', notequalI2)). 268.68/34.34 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', subsetE)). 268.68/34.34 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', notequalI1)). 268.68/34.34 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', eqimpsubset2)). 268.68/34.34 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', subsetRefl)). 268.68/34.34 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', omega__Cong)). 268.68/34.34 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setunion__Cong)). 268.68/34.34 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setadjoinSub)). 268.68/34.34 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', powerset__Cong)). 268.68/34.34 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setadjoin__Cong)). 268.68/34.34 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setadjoinSub2)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', in__Cong)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', inCongP)). 268.68/34.34 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', subsetI1)). 268.68/34.34 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', notdallE)). 268.68/34.34 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', subset2powerset)). 268.68/34.34 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', prop2setI)). 268.68/34.34 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', quantDeMorgan4)). 268.68/34.34 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', quantDeMorgan3)). 268.68/34.34 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', powersetI1)). 268.68/34.34 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', quantDeMorgan2)). 268.68/34.34 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', quantDeMorgan1)). 268.68/34.34 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', secondinupair)). 268.68/34.34 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', eqimpsubset1)). 268.68/34.34 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', powersetE1)). 268.68/34.34 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', upairsetIL)). 268.68/34.34 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', upairsetE)). 268.68/34.34 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', uniqinunit)). 268.68/34.34 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', inPowerset)). 268.68/34.34 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', nonemptyImpWitness)). 268.68/34.34 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', subPowSU)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', binunionEcases)). 268.68/34.34 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', emptyinPowerset)). 268.68/34.34 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setadjoinIL)). 268.68/34.34 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', nonemptyE1)). 268.68/34.34 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binunionE)). 268.68/34.34 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', noeltsimpempty)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', setext)). 268.68/34.34 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binunionLsub)). 268.68/34.34 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', notinemptyset)). 268.68/34.34 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', prop2setE)). 268.68/34.34 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binunionRsub)). 268.68/34.34 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binintersectSubset5)). 268.68/34.34 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', wellorderingAx)). 268.68/34.34 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', foundationAx)). 268.68/34.34 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binintersectRsub)). 268.68/34.34 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.IokILhfeVg/Vampire---4.8_14789', omegaIndAx)). 268.68/34.34 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', omegaSAx)). 268.68/34.34 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', bs114d)). 268.68/34.34 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', omega0Ax)). 268.68/34.34 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', subsetI2)). 268.68/34.34 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', powersetAx)). 268.68/34.34 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setadjoinAx)). 268.68/34.34 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setminusI)). 268.68/34.34 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setminusEL)). 268.68/34.34 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setminusSubset2)). 268.68/34.34 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setminusLsub)). 268.68/34.34 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setminusSubset1)). 268.68/34.34 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', symdiffI1)). 268.68/34.34 thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', ap2p)). 268.68/34.34 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', kpairp)). 268.68/34.34 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', singletoninpowunion)). 268.68/34.34 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', upairset2E)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', upairinpowunion)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', ubforcartprodlem2)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', ubforcartprodlem3)). 268.68/34.34 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', cartprodmempair1)). 268.68/34.34 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', cartprodmempair)). 268.68/34.34 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setunionsingleton1)). 268.68/34.34 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', emptysetsubset)). 268.68/34.34 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setunionsingleton)). 268.68/34.34 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$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.IokILhfeVg/Vampire---4.8_14789', setukpairinjL1)). 268.68/34.34 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setukpairinjR11)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', setukpairinjR1)). 268.68/34.34 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', upairequniteq)). 268.68/34.34 thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setukpairinjR2)). 268.68/34.34 thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setukpairinjR)). 268.68/34.34 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', cartprodsndin)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', cartprodpairmemER)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', cartprodmempaircEq)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', cartprodfstpairEq)). 268.68/34.34 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', cartprodpairsurjEq)). 268.68/34.34 thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', app)). 268.68/34.34 thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X30)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', infuncsetfunc)). 268.68/34.34 thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X29)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', brelnall2)). 268.68/34.34 thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X30 @ X2)) @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', funcGraphProp1)). 268.68/34.34 thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X30 @ X2)) @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', funcGraphProp3)). 268.68/34.34 thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X30)=>((ap @ X4 @ X5 @ X30 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', funcGraphProp2)). 268.68/34.34 thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X35:$i]:(((func @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X30 @ X2)=(ap @ X4 @ X5 @ X35 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X30)))))))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', funcextLem)). 268.68/34.34 thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X29)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', brelnall1)). 268.68/34.34 thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>(in @ X30 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', funcinfuncset)). 268.68/34.34 thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', cartprodsndpairEq)). 268.68/34.34 thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', cartprodpairmemEL)). 268.68/34.34 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', kpairsurjEq)). 268.68/34.34 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', ksndpairEq)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', setukpairinjR12)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', setukpairinjL)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', setukpairinjL2)). 268.68/34.34 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', cartprodfstin)). 268.68/34.34 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', kfstpairEq)). 268.68/34.34 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', theprop)). 268.68/34.34 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', singletonsuniq)). 268.68/34.34 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setunionsingleton2)). 268.68/34.34 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setunionE2)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', cartprodpairin)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', ubforcartprodlem1)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', upairsubunion)). 268.68/34.34 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', singletoninpowerset)). 268.68/34.34 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', singletonsubset)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', kpairiskpair)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', setukpairIR)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', setukpairIL)). 268.68/34.34 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', symdiffIneg2)). 268.68/34.34 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', symdiffIneg1)). 268.68/34.34 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', symdiffI2)). 268.68/34.34 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', symdiffE)). 268.68/34.34 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setminusIRneg)). 268.68/34.34 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setminusILneg)). 268.68/34.34 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setminusELneg)). 268.68/34.34 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setminusERneg)). 268.68/34.34 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setminusER)). 268.68/34.34 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binintersectSubset1)). 268.68/34.34 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binintersectSubset4)). 268.68/34.34 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', disjointsetsI1)). 268.68/34.34 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binintersectER)). 268.68/34.34 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binintersectSubset3)). 268.68/34.34 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binintersectSubset2)). 268.68/34.34 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binintersectLsub)). 268.68/34.34 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binintersectEL)). 268.68/34.34 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binintersectI)). 268.68/34.34 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binunionIR)). 268.68/34.34 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', upairset2IR)). 268.68/34.34 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', binunionIL)). 268.68/34.34 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', powersetsubset)). 268.68/34.34 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', subsetE2)). 268.68/34.34 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', emptyset__Cong)). 268.68/34.34 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', notdexE)). 268.68/34.34 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', upairsetIR)). 268.68/34.34 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', singletonsswitch)). 268.68/34.34 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', eqinunit)). 268.68/34.34 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', notinsingleton)). 268.68/34.34 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setunionE)). 268.68/34.34 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setunionI)). 268.68/34.34 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', powersetE)). 268.68/34.34 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', emptyInPowerset)). 268.68/34.34 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', powersetI)). 268.68/34.34 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setadjoinOr)). 268.68/34.34 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.IokILhfeVg/Vampire---4.8_14789', setadjoinE)). 268.68/34.34 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setadjoinIR)). 268.68/34.34 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', emptyinunitempty)). 268.68/34.34 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', nonemptyI1)). 268.68/34.34 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', emptyI)). 268.68/34.34 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', emptysetimpfalse)). 268.68/34.34 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', emptysetE)). 268.68/34.34 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', setunionAx)). 268.68/34.34 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.IokILhfeVg/Vampire---4.8_14789', emptysetAx)). 268.68/34.34 thf(c_0_204, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 268.68/34.34 thf(c_0_205, plain, ((descr__Cong)<=>![X1:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 268.68/34.34 thf(c_0_206, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 268.68/34.34 thf(c_0_207, plain, ((emptyE1)<=>![X4:$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])). 268.68/34.34 thf(c_0_208, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 268.68/34.34 thf(c_0_209, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 268.68/34.34 thf(c_0_210, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 268.68/34.34 thf(c_0_211, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 268.68/34.34 thf(c_0_212, plain, ((singletonprop)<=>![X4:$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 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])). 268.68/34.34 thf(c_0_213, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])). 268.68/34.34 thf(c_0_214, plain, ((ex1I2)<=>![X4:$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 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])). 268.68/34.34 thf(c_0_215, plain, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])). 268.68/34.34 thf(c_0_216, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])). 268.68/34.34 thf(c_0_217, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])). 268.68/34.34 thf(c_0_218, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])). 268.68/34.34 thf(c_0_219, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])). 268.68/34.34 thf(c_0_220, plain, ((lam2p)<=>![X4:$i, X5:$i, X34:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X34 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X34 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])). 268.68/34.34 thf(c_0_221, plain, ((ex1E2)<=>![X4:$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])). 268.68/34.34 thf(c_0_222, plain, ((lamp)<=>![X4:$i, X5:$i, X33:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X33 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X33 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])). 268.68/34.34 thf(c_0_223, plain, ((lamProp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:(((X31 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])). 268.68/34.34 thf(c_0_224, plain, ((apProp)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])). 268.68/34.34 thf(c_0_225, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])). 268.68/34.34 thf(c_0_226, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])). 268.68/34.34 thf(c_0_227, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])). 268.68/34.34 thf(c_0_228, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])). 268.68/34.34 thf(c_0_229, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])). 268.68/34.34 thf(c_0_230, plain, ((ex1I)<=>![X4:$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])). 268.68/34.34 thf(c_0_231, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])). 268.68/34.34 thf(c_0_232, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])). 268.68/34.34 thf(c_0_233, 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])). 268.68/34.34 thf(c_0_234, 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])). 268.68/34.34 thf(c_0_235, 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])). 268.68/34.34 thf(c_0_236, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 268.68/34.34 thf(c_0_237, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])). 268.68/34.34 thf(c_0_238, 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])). 268.68/34.34 thf(c_0_239, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 268.68/34.34 thf(c_0_240, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 268.68/34.34 thf(c_0_241, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 268.68/34.34 thf(c_0_242, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 268.68/34.34 thf(c_0_243, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 268.68/34.34 thf(c_0_244, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 268.68/34.34 thf(c_0_245, plain, ((epred1_0)<=>![X1199:$i]:(?[X1200:$i]:((((![X1201:$i]:(((in @ X1201 @ X1200)=>![X1202:$i]:(((in @ X1202 @ X1201)=>(in @ X1202 @ X1199)))))&![X1203:$i, X1204:$i]:((((in @ X1203 @ X1199)&(in @ X1204 @ X1199))=>(![X1205:$i]:(((in @ X1205 @ X1200)=>((in @ X1203 @ X1205)<=>(in @ X1204 @ X1205))))=>((X1203)=(X1204))))))&![X1206:$i, X1207:$i]:((((in @ X1206 @ X1200)&(in @ X1207 @ X1200))=>(![X1208:$i]:(((in @ X1208 @ X1206)=>(in @ X1208 @ X1207)))|![X1209:$i]:(((in @ X1209 @ X1207)=>(in @ X1209 @ X1206)))))))&![X1210:$i]:(((![X1211:$i]:(((in @ X1211 @ X1210)=>(in @ X1211 @ X1199)))&?[X1212:$i]:((in @ X1212 @ X1210)))=>?[X1213:$i, X1214:$i]:(((((in @ X1213 @ X1200)&(in @ X1214 @ X1210))&~(?[X1215:$i]:(((in @ X1215 @ X1213)&(in @ X1215 @ X1210)))))&![X1216:$i]:(((in @ X1216 @ X1200)=>(![X1217:$i]:(((in @ X1217 @ X1216)=>(in @ X1217 @ X1213)))|(in @ X1214 @ X1216)))))))))))), introduced(definition)). 268.68/34.34 thf(c_0_246, negated_conjecture, ~((![X1238:$i, X1239:$i]:((![X1240:$i]:(((in @ X1240 @ X1238)<=>(in @ X1240 @ X1239)))=>((X1238)=(X1239))))=>(![X641:$i]:(~(in @ X641 @ emptyset))=>(![X1235:$i, X1236:$i, X1237:$i]:(((in @ X1237 @ (setadjoin @ X1235 @ X1236))<=>(((X1237)=(X1235))|(in @ X1237 @ X1236))))=>(![X1232:$i, X1233:$i]:(((in @ X1233 @ (powerset @ X1232))<=>![X1234:$i]:(((in @ X1234 @ X1233)=>(in @ X1234 @ X1232)))))=>(![X642:$i, X643:$i]:(((in @ X643 @ (setunion @ X642))<=>?[X644:$i]:(((in @ X643 @ X644)&(in @ X644 @ X642)))))=>((in @ emptyset @ omega)=>(![X1231:$i]:(((in @ X1231 @ omega)=>(in @ (setadjoin @ X1231 @ X1231) @ omega)))=>(![X1228:$i]:((((in @ emptyset @ X1228)&![X1229:$i]:((((in @ X1229 @ omega)&(in @ X1229 @ X1228))=>(in @ (setadjoin @ X1229 @ X1229) @ X1228))))=>![X1230:$i]:(((in @ X1230 @ omega)=>(in @ X1230 @ X1228)))))=>(![X1222:$i > $i > $o, X1223:$i]:((![X1224:$i]:(((in @ X1224 @ X1223)=>(exu @ (^[Z0/* 3 */:$i]:((X1222 @ X1224 @ Z0))))))=>?[X1225:$i]:(![X1226:$i]:(((in @ X1226 @ X1225)<=>?[X1227:$i]:(((in @ X1227 @ X1223)&(X1222 @ X1227 @ X1226))))))))=>(![X1218:$i]:((?[X1219:$i]:((in @ X1219 @ X1218))=>?[X1220:$i]:(((in @ X1220 @ X1218)&~(?[X1221:$i]:(((in @ X1221 @ X1220)&(in @ X1221 @ X1218))))))))=>((epred1_0)=>(![X645:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X645 @ Z0))))=>(X645 @ (descr @ (^[Z0/* 3 */:$i]:((X645 @ Z0)))))))=>(![X646:$i, X647:$i > $o, X648:$i]:(((in @ X648 @ X646)=>((X647 @ X648)=>(in @ X648 @ (dsetconstr @ X646 @ (^[Z0/* 3 */:$i]:((X647 @ Z0))))))))=>(![X1196:$i, X1197:$i > $o, X1198:$i]:(((in @ X1198 @ (dsetconstr @ X1196 @ (^[Z0/* 3 */:$i]:((X1197 @ Z0)))))=>(in @ X1198 @ X1196)))=>(![X1193:$i, X1194:$i > $o, X1195:$i]:(((in @ X1195 @ (dsetconstr @ X1193 @ (^[Z0/* 3 */:$i]:((X1194 @ Z0)))))=>(X1194 @ X1195)))=>(![X649:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X649 @ Z0))))=>?[X650:$i]:(((X649 @ X650)&![X651:$i]:(((X649 @ X651)=>((X650)=(X651))))))))=>(![X1191:$o, X1192:$i]:(((in @ X1192 @ (prop2set @ ((X1191))))=>(X1191)))=>(![X652:$i]:(((in @ X652 @ emptyset)=>![X653:$o]:((X653))))=>(![X654:$i]:(~(in @ X654 @ emptyset))=>(![X1190:$i]:(~(in @ X1190 @ emptyset))=>(![X1188:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1188 @ Z0))))=>?[X1189:$i]:((X1188 @ X1189))))=>(![X1184:$i, X1185:$i]:((![X1186:$i]:(((in @ X1186 @ X1184)=>(in @ X1186 @ X1185)))=>(![X1187:$i]:(((in @ X1187 @ X1185)=>(in @ X1187 @ X1184)))=>((X1184)=(X1185)))))=>(![X655:$i]:((![X656:$i]:(~(in @ X656 @ X655))=>((X655)=(emptyset))))=>(![X1182:$i]:((![X1183:$i]:(~(in @ X1183 @ X1182))=>((X1182)=(emptyset))))=>(![X657:$i, X658:$i > $o, X659:$i]:(((in @ X659 @ X657)=>((in @ X659 @ (dsetconstr @ X657 @ (^[Z0/* 3 */:$i]:((X658 @ Z0)))))<=>(X658 @ X659))))=>(![X1180:$i]:(((nonempty @ X1180)=>?[X1181:$i]:((in @ X1181 @ X1180))))=>(![X660:$i, X661:$i > $o, X662:$i]:(((in @ X662 @ X660)=>((X661 @ X662)=>(nonempty @ (dsetconstr @ X660 @ (^[Z0/* 3 */:$i]:((X661 @ Z0))))))))=>(![X663:$i]:((?[X664:$i]:((in @ X664 @ X663))=>(nonempty @ X663)))=>(![X1178:$i, X1179:$i]:((in @ X1178 @ (setadjoin @ X1178 @ X1179)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X665:$i, X666:$i, X667:$i]:(((in @ X667 @ X666)=>(in @ X667 @ (setadjoin @ X665 @ X666))))=>(![X668:$i, X669:$i, X670:$i]:(((in @ X670 @ (setadjoin @ X668 @ X669))=>![X671:$o]:(((((X670)=(X668))=>(X671))=>(((in @ X670 @ X669)=>(X671))=>(X671))))))=>(![X672:$i, X673:$i, X674:$i]:(((in @ X674 @ (setadjoin @ X672 @ X673))=>(((X674)=(X672))|(in @ X674 @ X673))))=>(![X675:$i]:(((dsetconstr @ X675 @ (^[Z0/* 3 */:$i]:(($true))))=(X675)))=>(![X676:$i, X677:$i]:((![X678:$i]:(((in @ X678 @ X677)=>(in @ X678 @ X676)))=>(in @ X677 @ (powerset @ X676))))=>(![X1177:$i]:((in @ emptyset @ (powerset @ X1177)))=>(![X679:$i]:((in @ emptyset @ (powerset @ X679)))=>(![X680:$i, X681:$i, X682:$i]:(((in @ X681 @ (powerset @ X680))=>((in @ X682 @ X681)=>(in @ X682 @ X680))))=>(![X683:$i, X684:$i, X685:$i]:(((in @ X684 @ X685)=>((in @ X685 @ X683)=>(in @ X684 @ (setunion @ X683)))))=>(![X686:$i, X687:$i]:(((in @ X687 @ (setunion @ X686))=>![X688:$o]:((![X689:$i]:(((in @ X687 @ X689)=>((in @ X689 @ X686)=>(X688))))=>(X688)))))=>(![X1175:$i, X1176:$i]:(((in @ X1176 @ X1175)=>(in @ X1176 @ (powerset @ (setunion @ X1175)))))=>(![X690:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X690 @ Z0))))=>?[X691:$i]:(![X692:$i]:(((X690 @ X692)<=>((X692)=(X691)))))))=>(![X1173:$i]:(((nonempty @ X1173)=>?[X1174:$i]:((in @ X1174 @ X1173))))=>(![X1171:$i, X1172:$i]:(((in @ X1171 @ (setadjoin @ X1172 @ emptyset))=>((X1171)=(X1172))))=>(![X693:$i, X694:$i]:((((X693)!=(X694))=>~(in @ X694 @ (setadjoin @ X693 @ emptyset))))=>(![X695:$i, X696:$i]:((((X695)=(X696))=>(in @ X695 @ (setadjoin @ X696 @ emptyset))))=>(![X697:$i, X698:$i]:(((in @ X697 @ (setadjoin @ X698 @ emptyset))=>(in @ X698 @ (setadjoin @ X697 @ emptyset))))=>(![X1168:$i, X1169:$i, X1170:$i]:(((in @ X1170 @ (setadjoin @ X1168 @ (setadjoin @ X1169 @ emptyset)))=>(((X1170)=(X1168))|((X1170)=(X1169)))))=>(![X1166:$i, X1167:$i]:((in @ X1166 @ (setadjoin @ X1166 @ (setadjoin @ X1167 @ emptyset))))=>(![X699:$i, X700:$i]:((in @ X700 @ (setadjoin @ X699 @ (setadjoin @ X700 @ emptyset))))=>(![X1163:$i, X1164:$i > $o]:((?[X1165:$i]:(((in @ X1165 @ X1163)&(X1164 @ X1165)))=>((dsetconstr @ X1163 @ (^[Z0/* 3 */:$i]:((X1164 @ Z0))))!=(emptyset))))=>(![X1161:$i > $o, X1162:$i]:(((in @ X1162 @ emptyset)=>(X1161 @ X1162)))=>(![X1157:$i, X1158:$i > $o]:((~(![X1159:$i]:(((in @ X1159 @ X1157)=>(X1158 @ X1159))))=>?[X1160:$i]:(((in @ X1160 @ X1157)&~(X1158 @ X1160)))))=>(![X1153:$i, X1154:$i > $o]:((![X1155:$i]:(((in @ X1155 @ X1153)=>~(X1154 @ X1155)))=>~(?[X1156:$i]:(((in @ X1156 @ X1153)&(X1154 @ X1156))))))=>(![X1149:$i, X1150:$i > $o]:((~(?[X1151:$i]:(((in @ X1151 @ X1149)&(X1150 @ X1151))))=>![X1152:$i]:(((in @ X1152 @ X1149)=>~(X1150 @ X1152)))))=>(![X1145:$i, X1146:$i > $o]:((?[X1147:$i]:(((in @ X1147 @ X1145)&~(X1146 @ X1147)))=>~(![X1148:$i]:(((in @ X1148 @ X1145)=>(X1146 @ X1148))))))=>(![X1144:$o]:(((X1144)=>(in @ emptyset @ (prop2set @ ((X1144))))))=>((prop2set2propI)=>(![X701:$i, X702:$i > $o]:((~(?[X703:$i]:(((in @ X703 @ X701)&(X702 @ X703))))=>![X704:$i]:(((in @ X704 @ X701)=>~(X702 @ X704)))))=>(![X1140:$i, X1141:$i > $o]:((~(![X1142:$i]:(((in @ X1142 @ X1140)=>(X1141 @ X1142))))=>?[X1143:$i]:(((in @ X1143 @ X1140)&~(X1141 @ X1143)))))=>(![X705:$i > $o]:((?[X706:$i]:(((X705 @ X706)&![X707:$i]:(((X705 @ X707)=>((X706)=(X707))))))=>(exu @ (^[Z0/* 3 */:$i]:((X705 @ Z0))))))=>(![X708:$i > $o]:((?[X709:$i]:((X708 @ X709))=>(![X710:$i, X711:$i]:(((X708 @ X710)=>((X708 @ X711)=>((X710)=(X711)))))=>(exu @ (^[Z0/* 3 */:$i]:((X708 @ Z0)))))))=>(![X712:$i > $o]:((?[X713:$i]:(![X714:$i]:(((X712 @ X714)<=>((X714)=(X713)))))=>(exu @ (^[Z0/* 3 */:$i]:((X712 @ Z0))))))=>(![X1136:$i, X1137:$i]:((((X1136)=(X1137))=>![X1138:$i, X1139:$i]:((((X1138)=(X1139))=>((in @ X1138 @ X1136)=>(in @ X1139 @ X1137))))))=>(![X1132:$i, X1133:$i]:((((X1132)=(X1133))=>![X1134:$i, X1135:$i]:((((X1134)=(X1135))=>((in @ X1134 @ X1132)<=>(in @ X1135 @ X1133))))))=>(![X715:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X715 @ Z0))))=>![X716:$i, X717:$i]:(((X715 @ X716)=>((X715 @ X717)=>((X716)=(X717)))))))=>(![X1128:$i > $o, X1129:$i > $o]:((![X1130:$i, X1131:$i]:((((X1130)=(X1131))=>((X1128 @ X1130)<=>(X1129 @ X1131))))=>((exu @ (^[Z0/* 3 */:$i]:((X1128 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X1129 @ Z0)))))))=>(((emptyset)=(emptyset))=>(![X1124:$i, X1125:$i]:((((X1124)=(X1125))=>![X1126:$i, X1127:$i]:((((X1126)=(X1127))=>((setadjoin @ X1124 @ X1126)=(setadjoin @ X1125 @ X1127))))))=>(![X1122:$i, X1123:$i]:((((X1122)=(X1123))=>((powerset @ X1122)=(powerset @ X1123))))=>(![X1120:$i, X1121:$i]:((((X1120)=(X1121))=>((setunion @ X1120)=(setunion @ X1121))))=>(((omega)=(omega))=>(![X718:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X718 @ Z0))))=>![X719:$i, X720:$i]:(((X718 @ X719)=>((X718 @ X720)=>((X719)=(X720)))))))=>(![X1116:$i > $o, X1117:$i > $o]:((![X1118:$i, X1119:$i]:((((X1118)=(X1119))=>((X1116 @ X1118)<=>(X1117 @ X1119))))=>((exu @ (^[Z0/* 3 */:$i]:((X1116 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X1117 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1116 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1117 @ Z0)))))))))=>(![X1110:$i, X1111:$i]:((((X1110)=(X1111))=>![X1112:$i > $o, X1113:$i > $o]:((![X1114:$i]:(((in @ X1114 @ X1110)=>![X1115:$i]:(((in @ X1115 @ X1111)=>(((X1114)=(X1115))=>((X1112 @ X1114)<=>(X1113 @ X1115)))))))=>((dsetconstr @ X1110 @ (^[Z0/* 3 */:$i]:((X1112 @ Z0))))=(dsetconstr @ X1111 @ (^[Z0/* 3 */:$i]:((X1113 @ Z0)))))))))=>(![X721:$i, X722:$i]:((![X723:$i]:(((in @ X723 @ X721)=>(in @ X723 @ X722)))=>(subset @ X721 @ X722)))=>(![X1108:$i, X1109:$i]:((((X1108)=(X1109))=>(subset @ X1109 @ X1108)))=>(![X724:$i, X725:$i]:((((X724)=(X725))=>(subset @ X724 @ X725)))=>(![X726:$i, X727:$i]:((![X728:$i]:(((in @ X728 @ X726)=>(in @ X728 @ X727)))=>(subset @ X726 @ X727)))=>(![X729:$i]:((subset @ emptyset @ X729))=>(![X1105:$i, X1106:$i, X1107:$i]:(((subset @ X1105 @ X1106)=>((in @ X1107 @ X1105)=>(in @ X1107 @ X1106))))=>(![X730:$i, X731:$i, X732:$i]:(((subset @ X730 @ X731)=>(~(in @ X732 @ X731)=>~(in @ X732 @ X730))))=>(![X733:$i, X734:$i, X735:$i]:(((in @ X735 @ X733)=>(~(in @ X735 @ X734)=>~(subset @ X733 @ X734))))=>(![X736:$i, X737:$i]:((~(subset @ X736 @ X737)=>((X736)!=(X737))))=>(![X1102:$i, X1103:$i, X1104:$i]:(((in @ X1104 @ X1102)=>(~(in @ X1104 @ X1103)=>((X1102)!=(X1103)))))=>(![X738:$i]:((subset @ X738 @ X738))=>(![X1099:$i, X1100:$i, X1101:$i]:(((subset @ X1099 @ X1100)=>((subset @ X1100 @ X1101)=>(subset @ X1099 @ X1101))))=>(![X739:$i, X740:$i]:((subset @ X740 @ (setadjoin @ X739 @ X740)))=>(![X741:$i, X742:$i, X743:$i]:(((subset @ X741 @ X743)=>(subset @ X741 @ (setadjoin @ X742 @ X743))))=>(![X744:$i, X745:$i]:(((subset @ X744 @ X745)=>(in @ X744 @ (powerset @ X745))))=>(![X1097:$i, X1098:$i]:(((subset @ X1097 @ X1098)=>((subset @ X1098 @ X1097)=>((X1097)=(X1098)))))=>(![X1096:$i]:(((subset @ X1096 @ emptyset)=>((X1096)=(emptyset))))=>(![X746:$i, X747:$i]:(((subset @ X747 @ X746)=>(in @ X747 @ (powerset @ X746))))=>(![X748:$i, X749:$i]:(((in @ X749 @ (powerset @ X748))=>(subset @ X749 @ X748)))=>(![X750:$i]:((in @ X750 @ (powerset @ X750)))=>(![X1094:$i, X1095:$i]:(((subset @ X1094 @ X1095)=>(subset @ (powerset @ X1094) @ (powerset @ X1095))))=>(![X1092:$i, X1093:$i > $o]:((in @ (dsetconstr @ X1092 @ (^[Z0/* 3 */:$i]:((X1093 @ Z0)))) @ (powerset @ X1092)))=>(![X1090:$i, X1091:$i > $o]:((subset @ (dsetconstr @ X1090 @ (^[Z0/* 3 */:$i]:((X1091 @ Z0)))) @ X1090))=>(![X1087:$i, X1088:$i, X1089:$i]:(((in @ X1089 @ X1087)=>(in @ X1089 @ (binunion @ X1087 @ X1088))))=>(![X1085:$i, X1086:$i]:((in @ X1086 @ (setadjoin @ X1085 @ (setadjoin @ X1086 @ emptyset))))=>(![X1082:$i, X1083:$i, X1084:$i]:(((in @ X1084 @ X1083)=>(in @ X1084 @ (binunion @ X1082 @ X1083))))=>(![X751:$i, X752:$i, X753:$i, X754:$o]:(((in @ X753 @ (binunion @ X751 @ X752))=>(((in @ X753 @ X751)=>(X754))=>(((in @ X753 @ X752)=>(X754))=>(X754)))))=>(![X755:$i, X756:$i, X757:$i]:(((in @ X757 @ (binunion @ X755 @ X756))=>((in @ X757 @ X755)|(in @ X757 @ X756))))=>(![X758:$i, X759:$i]:((subset @ X758 @ (binunion @ X758 @ X759)))=>(![X760:$i, X761:$i]:((subset @ X761 @ (binunion @ X760 @ X761)))=>(![X1079:$i, X1080:$i, X1081:$i]:(((in @ X1081 @ X1079)=>((in @ X1081 @ X1080)=>(in @ X1081 @ (binintersect @ X1079 @ X1080)))))=>(![X762:$i, X763:$i, X764:$i]:(((subset @ X764 @ X762)=>((subset @ X764 @ X763)=>(subset @ X764 @ (binintersect @ X762 @ X763)))))=>(![X1076:$i, X1077:$i, X1078:$i]:(((in @ X1078 @ (binintersect @ X1076 @ X1077))=>(in @ X1078 @ X1076)))=>(![X1074:$i, X1075:$i]:((subset @ (binintersect @ X1074 @ X1075) @ X1074))=>(![X1072:$i, X1073:$i]:(((subset @ X1072 @ X1073)=>((binintersect @ X1072 @ X1073)=(X1072))))=>(![X1070:$i, X1071:$i]:((((binintersect @ X1070 @ X1071)=(X1071))=>(subset @ X1071 @ X1070)))=>(![X1067:$i, X1068:$i, X1069:$i]:(((in @ X1069 @ (binintersect @ X1067 @ X1068))=>(in @ X1069 @ X1068)))=>(![X1064:$i, X1065:$i]:((~(?[X1066:$i]:(((in @ X1066 @ X1064)&(in @ X1066 @ X1065))))=>((binintersect @ X1064 @ X1065)=(emptyset))))=>(![X765:$i, X766:$i]:((subset @ (binintersect @ X765 @ X766) @ X766))=>(![X1062:$i, X1063:$i]:(((subset @ X1063 @ X1062)=>((binintersect @ X1062 @ X1063)=(X1063))))=>(![X1060:$i, X1061:$i]:((((binintersect @ X1060 @ X1061)=(X1060))=>(subset @ X1060 @ X1061)))=>(![X767:$i, X768:$i, X769:$i]:(((binintersect @ X767 @ (binunion @ X768 @ X769))=(binunion @ (binintersect @ X767 @ X768) @ (binintersect @ X767 @ X769))))=>(![X770:$i, X771:$i, X772:$i]:(((in @ X772 @ X770)=>(~(in @ X772 @ X771)=>(in @ X772 @ (setminus @ X770 @ X771)))))=>(![X773:$i, X774:$i, X775:$i]:(((in @ X775 @ (setminus @ X773 @ X774))=>(in @ X775 @ X773)))=>(![X1057:$i, X1058:$i, X1059:$i]:(((in @ X1059 @ (setminus @ X1057 @ X1058))=>~(in @ X1059 @ X1058)))=>(![X776:$i, X777:$i]:(((subset @ X776 @ X777)=>((setminus @ X776 @ X777)=(emptyset))))=>(![X1054:$i, X1055:$i, X1056:$i]:((~(in @ X1056 @ (setminus @ X1054 @ X1055))=>((in @ X1056 @ X1054)=>(in @ X1056 @ X1055))))=>(![X1051:$i, X1052:$i, X1053:$i]:((~(in @ X1053 @ (setminus @ X1051 @ X1052))=>(~(in @ X1053 @ X1052)=>~(in @ X1053 @ X1051))))=>(![X1048:$i, X1049:$i, X1050:$i]:((~(in @ X1050 @ X1048)=>~(in @ X1050 @ (setminus @ X1048 @ X1049))))=>(![X1045:$i, X1046:$i, X1047:$i]:(((in @ X1047 @ X1046)=>~(in @ X1047 @ (setminus @ X1045 @ X1046))))=>(![X778:$i, X779:$i]:((subset @ (setminus @ X778 @ X779) @ X778))=>(![X780:$i, X781:$i]:((((setminus @ X780 @ X781)=(emptyset))=>(subset @ X780 @ X781)))=>(![X1041:$i, X1042:$i, X1043:$i]:(((in @ X1043 @ (symdiff @ X1041 @ X1042))=>![X1044:$o]:((((in @ X1043 @ X1041)=>(~(in @ X1043 @ X1042)=>(X1044)))=>((~(in @ X1043 @ X1041)=>((in @ X1043 @ X1042)=>(X1044)))=>(X1044))))))=>(![X782:$i, X783:$i, X784:$i]:(((in @ X784 @ X782)=>(~(in @ X784 @ X783)=>(in @ X784 @ (symdiff @ X782 @ X783)))))=>(![X1038:$i, X1039:$i, X1040:$i]:((~(in @ X1040 @ X1038)=>((in @ X1040 @ X1039)=>(in @ X1040 @ (symdiff @ X1038 @ X1039)))))=>(![X1035:$i, X1036:$i, X1037:$i]:(((in @ X1037 @ X1035)=>((in @ X1037 @ X1036)=>~(in @ X1037 @ (symdiff @ X1035 @ X1036)))))=>(![X1032:$i, X1033:$i, X1034:$i]:((~(in @ X1034 @ X1032)=>(~(in @ X1034 @ X1033)=>~(in @ X1034 @ (symdiff @ X1032 @ X1033)))))=>(![X785:$i, X786:$i]:((in @ X786 @ (setadjoin @ X785 @ (setadjoin @ X786 @ emptyset))))=>(![X1030:$i, X1031:$i]:((in @ X1030 @ (setunion @ (setadjoin @ (setadjoin @ X1030 @ emptyset) @ (setadjoin @ (setadjoin @ X1030 @ (setadjoin @ X1031 @ emptyset)) @ emptyset)))))=>(![X1028:$i, X1029:$i]:((in @ X1029 @ (setunion @ (setadjoin @ (setadjoin @ X1028 @ emptyset) @ (setadjoin @ (setadjoin @ X1028 @ (setadjoin @ X1029 @ emptyset)) @ emptyset)))))=>(![X1026:$i, X1027:$i]:((iskpair @ (setadjoin @ (setadjoin @ X1026 @ emptyset) @ (setadjoin @ (setadjoin @ X1026 @ (setadjoin @ X1027 @ emptyset)) @ emptyset))))=>(![X787:$i, X788:$i]:((iskpair @ (kpair @ X787 @ X788)))=>(![X1024:$i, X1025:$i]:(((in @ X1025 @ X1024)=>(subset @ (setadjoin @ X1025 @ emptyset) @ X1024)))=>(![X1022:$i, X1023:$i]:(((in @ X1023 @ X1022)=>(in @ (setadjoin @ X1023 @ emptyset) @ (powerset @ X1022))))=>(![X789:$i, X790:$i, X791:$i]:(((in @ X791 @ X789)=>(in @ (setadjoin @ X791 @ emptyset) @ (powerset @ (binunion @ X789 @ X790)))))=>(![X792:$i, X793:$i, X794:$i]:(((in @ X794 @ (setadjoin @ X792 @ (setadjoin @ X793 @ emptyset)))=>(((X794)=(X792))|((X794)=(X793)))))=>(![X1018:$i, X1019:$i, X1020:$i]:(((in @ X1020 @ X1018)=>![X1021:$i]:(((in @ X1021 @ X1019)=>(subset @ (setadjoin @ X1020 @ (setadjoin @ X1021 @ emptyset)) @ (binunion @ X1018 @ X1019))))))=>(![X795:$i, X796:$i, X797:$i]:(((in @ X797 @ X795)=>![X798:$i]:(((in @ X798 @ X796)=>(in @ (setadjoin @ X797 @ (setadjoin @ X798 @ emptyset)) @ (powerset @ (binunion @ X795 @ X796)))))))=>(![X1014:$i, X1015:$i, X1016:$i]:(((in @ X1016 @ X1014)=>![X1017:$i]:(((in @ X1017 @ X1015)=>(subset @ (setadjoin @ (setadjoin @ X1016 @ emptyset) @ (setadjoin @ (setadjoin @ X1016 @ (setadjoin @ X1017 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1014 @ X1015)))))))=>(![X799:$i, X800:$i, X801:$i]:(((in @ X801 @ X799)=>![X802:$i]:(((in @ X802 @ X800)=>(in @ (setadjoin @ (setadjoin @ X801 @ emptyset) @ (setadjoin @ (setadjoin @ X801 @ (setadjoin @ X802 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X799 @ X800))))))))=>(![X803:$i, X804:$i, X805:$i]:(((in @ X805 @ X803)=>![X806:$i]:(((in @ X806 @ X804)=>(in @ (kpair @ X805 @ X806) @ (powerset @ (powerset @ (binunion @ X803 @ X804))))))))=>(![X1010:$i, X1011:$i, X1012:$i]:(((in @ X1012 @ X1010)=>![X1013:$i]:(((in @ X1013 @ X1011)=>(in @ (kpair @ X1012 @ X1013) @ (cartprod @ X1010 @ X1011))))))=>(![X807:$i, X808:$i, X809:$i]:(((in @ X809 @ (cartprod @ X807 @ X808))=>?[X810:$i]:(((in @ X810 @ X807)&?[X811:$i]:(((in @ X811 @ X808)&((X809)=(kpair @ X810 @ X811))))))))=>(![X812:$i, X813:$i, X814:$i]:(((in @ X814 @ (cartprod @ X812 @ X813))=>(iskpair @ X814)))=>(![X1007:$i, X1008:$i]:(((in @ X1008 @ (setunion @ X1007))=>?[X1009:$i]:(((in @ X1009 @ X1007)&(in @ X1008 @ X1009)))))=>(![X815:$i]:((subset @ (setunion @ (setadjoin @ X815 @ emptyset)) @ X815))=>(![X1006:$i]:((subset @ X1006 @ (setunion @ (setadjoin @ X1006 @ emptyset))))=>(![X816:$i]:(((setunion @ (setadjoin @ X816 @ emptyset))=(X816)))=>(![X817:$i, X818:$i > $o]:((![X819:$i]:(((in @ X819 @ X817)=>![X820:$i]:(((in @ X820 @ X817)=>((X818 @ X819)=>((X818 @ X820)=>((X819)=(X820))))))))=>(?[X821:$i]:(((in @ X821 @ X817)&(X818 @ X821)))=>(singleton @ (dsetconstr @ X817 @ (^[Z0/* 3 */:$i]:((X818 @ Z0))))))))=>(![X822:$i, X823:$i > $o]:(((ex1 @ X822 @ (^[Z0/* 3 */:$i]:((X823 @ Z0))))=>?[X824:$i]:(((in @ X824 @ X822)&(X823 @ X824)))))=>(![X1002:$i, X1003:$i > $o, X1004:$i]:(((in @ X1004 @ X1002)=>((X1003 @ X1004)=>(![X1005:$i]:(((in @ X1005 @ X1002)=>((X1003 @ X1005)=>((X1005)=(X1004)))))=>(ex1 @ X1002 @ (^[Z0/* 3 */:$i]:((X1003 @ Z0))))))))=>(![X825:$i, X826:$i > $o]:((![X827:$i]:(((in @ X827 @ X825)=>![X828:$i]:(((in @ X828 @ X825)=>((X826 @ X827)=>((X826 @ X828)=>((X827)=(X828))))))))=>(?[X829:$i]:(((in @ X829 @ X825)&(X826 @ X829)))=>(ex1 @ X825 @ (^[Z0/* 3 */:$i]:((X826 @ Z0)))))))=>(![X1000:$i, X1001:$i]:((((setadjoin @ X1000 @ emptyset)=(setadjoin @ X1001 @ emptyset))=>((X1000)=(X1001))))=>(![X830:$i, X831:$i, X832:$i]:(((in @ (setadjoin @ X832 @ emptyset) @ (setadjoin @ (setadjoin @ X830 @ emptyset) @ (setadjoin @ (setadjoin @ X830 @ (setadjoin @ X831 @ emptyset)) @ emptyset)))=>((X830)=(X832))))=>(![X999:$i]:(((iskpair @ X999)=>(singleton @ (dsetconstr @ (setunion @ X999) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X999)))))))=>(![X998:$i]:(((singleton @ X998)=>(in @ (setunion @ X998) @ X998)))=>(![X996:$i, X997:$i]:(((kfst @ (kpair @ X996 @ X997))=(X996)))=>(![X993:$i, X994:$i, X995:$i]:(((in @ X995 @ (cartprod @ X993 @ X994))=>(in @ (kfst @ X995) @ X993)))=>(![X989:$i, X990:$i, X991:$i, X992:$i]:((((setadjoin @ (setadjoin @ X989 @ emptyset) @ (setadjoin @ (setadjoin @ X989 @ (setadjoin @ X990 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X991 @ emptyset) @ (setadjoin @ (setadjoin @ X991 @ (setadjoin @ X992 @ emptyset)) @ emptyset)))=>((X989)=(X991))))=>(![X985:$i, X986:$i, X987:$i, X988:$i]:((((kpair @ X985 @ X986)=(kpair @ X987 @ X988))=>((X985)=(X987))))=>(![X833:$i, X834:$i]:((((X833)=(X834))=>((setadjoin @ X833 @ (setadjoin @ X834 @ emptyset))=(setadjoin @ X833 @ emptyset))))=>(![X983:$i, X984:$i]:((((X983)=(X984))=>((setadjoin @ (setadjoin @ X983 @ emptyset) @ (setadjoin @ (setadjoin @ X983 @ (setadjoin @ X984 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X983 @ emptyset) @ emptyset))))=>(![X835:$i, X836:$i, X837:$i, X838:$i]:((((setadjoin @ (setadjoin @ X835 @ emptyset) @ (setadjoin @ (setadjoin @ X835 @ (setadjoin @ X836 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X837 @ emptyset) @ (setadjoin @ (setadjoin @ X837 @ (setadjoin @ X838 @ emptyset)) @ emptyset)))=>(((X837)=(X838))=>((X836)=(X838)))))=>(![X839:$i, X840:$i, X841:$i]:((((setadjoin @ X839 @ (setadjoin @ X840 @ emptyset))=(setadjoin @ X841 @ emptyset))=>((X839)=(X840))))=>(![X842:$i, X843:$i, X844:$i, X845:$i]:((((setadjoin @ (setadjoin @ X842 @ emptyset) @ (setadjoin @ (setadjoin @ X842 @ (setadjoin @ X843 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X844 @ emptyset) @ (setadjoin @ (setadjoin @ X844 @ (setadjoin @ X845 @ emptyset)) @ emptyset)))=>((X843)=(X845))))=>(![X846:$i, X847:$i, X848:$i, X849:$i]:((((kpair @ X846 @ X847)=(kpair @ X848 @ X849))=>((X847)=(X849))))=>(![X982:$i]:(((iskpair @ X982)=>(singleton @ (dsetconstr @ (setunion @ X982) @ (^[Z0/* 3 */:$i]:(((X982)=(kpair @ (kfst @ X982) @ Z0))))))))=>(![X980:$i, X981:$i]:(((ksnd @ (kpair @ X980 @ X981))=(X981)))=>(![X979:$i]:(((iskpair @ X979)=>((kpair @ (kfst @ X979) @ (ksnd @ X979))=(X979))))=>(![X850:$i, X851:$i, X852:$i]:(((in @ X852 @ (cartprod @ X850 @ X851))=>(in @ (ksnd @ X852) @ X851)))=>(![X975:$i, X976:$i, X977:$i, X978:$i]:(((in @ (kpair @ X977 @ X978) @ (cartprod @ X975 @ X976))=>(in @ X977 @ X975)))=>(![X853:$i, X854:$i, X855:$i, X856:$i]:(((in @ (kpair @ X855 @ X856) @ (cartprod @ X853 @ X854))=>(in @ X856 @ X854)))=>(![X857:$i, X858:$i, X859:$i]:(((in @ X859 @ X857)=>![X860:$i]:(((in @ X860 @ X858)=>((kpair @ X859 @ X860)=(kpair @ X859 @ X860))))))=>(![X861:$i, X862:$i, X863:$i]:(((in @ X863 @ X861)=>![X864:$i]:(((in @ X864 @ X862)=>((kfst @ (kpair @ X863 @ X864))=(X863))))))=>(![X971:$i, X972:$i, X973:$i]:(((in @ X973 @ X971)=>![X974:$i]:(((in @ X974 @ X972)=>((ksnd @ (kpair @ X973 @ X974))=(X974))))))=>(![X865:$i, X866:$i, X867:$i]:(((in @ X867 @ (cartprod @ X865 @ X866))=>((kpair @ (kfst @ X867) @ (ksnd @ X867))=(X867))))=>(![X868:$i, X869:$i, X870:$i > $i > $o, X871:$i]:(((in @ X871 @ X868)=>![X872:$i]:(((in @ X872 @ X869)=>((X870 @ X871 @ X872)=>(in @ (kpair @ X871 @ X872) @ (dpsetconstr @ X868 @ X869 @ (^[Z0/* 19 */:$i, Z1:$i]:((X870 @ Z0 @ Z1))))))))))=>(![X873:$i, X874:$i, X875:$i > $i > $o]:((subset @ (dpsetconstr @ X873 @ X874 @ (^[Z0/* 19 */:$i, Z1:$i]:((X875 @ Z0 @ Z1)))) @ (cartprod @ X873 @ X874)))=>(![X968:$i, X969:$i, X970:$i > $i > $o]:((breln @ X968 @ X969 @ (dpsetconstr @ X968 @ X969 @ (^[Z0/* 19 */:$i, Z1:$i]:((X970 @ Z0 @ Z1))))))=>(![X876:$i, X877:$i, X878:$i > $i > $o, X879:$i]:(((in @ X879 @ X876)=>![X880:$i]:(((in @ X880 @ X877)=>((in @ (kpair @ X879 @ X880) @ (dpsetconstr @ X876 @ X877 @ (^[Z0/* 19 */:$i, Z1:$i]:((X878 @ Z0 @ Z1)))))=>(X878 @ X879 @ X880))))))=>(![X963:$i, X964:$i, X965:$i > $i > $o, X966:$i, X967:$i]:(((in @ (kpair @ X966 @ X967) @ (dpsetconstr @ X963 @ X964 @ (^[Z0/* 19 */:$i, Z1:$i]:((X965 @ Z0 @ Z1)))))=>(in @ X966 @ X963)))=>(![X958:$i, X959:$i, X960:$i > $i > $o, X961:$i, X962:$i]:(((in @ (kpair @ X961 @ X962) @ (dpsetconstr @ X958 @ X959 @ (^[Z0/* 19 */:$i, Z1:$i]:((X960 @ Z0 @ Z1)))))=>(in @ X962 @ X959)))=>(![X881:$i, X882:$i, X883:$i > $i > $o, X884:$i, X885:$i]:(((in @ (kpair @ X884 @ X885) @ (dpsetconstr @ X881 @ X882 @ (^[Z0/* 19 */:$i, Z1:$i]:((X883 @ Z0 @ Z1)))))=>(X883 @ X884 @ X885)))=>(![X886:$i, X887:$i, X888:$i]:(((func @ X886 @ X887 @ X888)=>![X889:$i]:(((in @ X889 @ X886)=>(singleton @ (dsetconstr @ X887 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X889 @ Z0) @ X888)))))))))=>(![X954:$i, X955:$i, X956:$i]:(((func @ X954 @ X955 @ X956)=>![X957:$i]:(((in @ X957 @ X954)=>(in @ (setunion @ (dsetconstr @ X955 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X957 @ Z0) @ X956))))) @ X955)))))=>(![X890:$i, X891:$i, X892:$i]:(((func @ X890 @ X891 @ X892)=>![X893:$i]:(((in @ X893 @ X890)=>(in @ (ap @ X890 @ X891 @ X892 @ X893) @ X891)))))=>(![X894:$i, X895:$i, X896:$i]:(((in @ X896 @ (funcSet @ X894 @ X895))=>(func @ X894 @ X895 @ X896)))=>(![X897:$i, X898:$i, X899:$i]:(((in @ X899 @ (funcSet @ X897 @ X898))=>![X900:$i]:(((in @ X900 @ X897)=>(in @ (ap @ X897 @ X898 @ X899 @ X900) @ X898)))))=>(![X951:$i, X952:$i, X953:$i]:(((func @ X951 @ X952 @ X953)=>(in @ X953 @ (funcSet @ X951 @ X952))))=>(![X947:$i, X948:$i, X949:$i > $i]:((![X950:$i]:(((in @ X950 @ X947)=>(in @ (X949 @ X950) @ X948)))=>(func @ X947 @ X948 @ (dpsetconstr @ X947 @ X948 @ (^[Z0/* 3 */:$i]:($eq @ (X949 @ Z0)))))))=>(![X943:$i, X944:$i, X945:$i > $i]:((![X946:$i]:(((in @ X946 @ X943)=>(in @ (X945 @ X946) @ X944)))=>(func @ X943 @ X944 @ (lam @ X943 @ X944 @ X945))))=>(![X901:$i, X902:$i, X903:$i > $i]:((![X904:$i]:(((in @ X904 @ X901)=>(in @ (X903 @ X904) @ X902)))=>(in @ (lam @ X901 @ X902 @ X903) @ (funcSet @ X901 @ X902))))=>(![X936:$i, X937:$i, X938:$i]:(((breln @ X936 @ X937 @ X938)=>![X939:$i > $o]:((![X940:$i]:(((in @ X940 @ X936)=>![X941:$i]:(((in @ X941 @ X937)=>((in @ (kpair @ X940 @ X941) @ X938)=>(X939 @ (kpair @ X940 @ X941)))))))=>![X942:$i]:(((in @ X942 @ X938)=>(X939 @ X942)))))))=>(![X905:$i, X906:$i, X907:$i]:(((breln @ X905 @ X906 @ X907)=>![X908:$i > $o]:((![X909:$i]:(((in @ X909 @ X905)=>![X910:$i]:(((in @ X910 @ X906)=>((in @ (kpair @ X909 @ X910) @ X907)=>(X908 @ (kpair @ X909 @ X910)))))))=>![X911:$i]:(((in @ X911 @ X907)=>(X908 @ X911)))))))=>(![X932:$i, X933:$i > $o]:(((ex1 @ X932 @ (^[Z0/* 3 */:$i]:((X933 @ Z0))))=>![X934:$i]:(((in @ X934 @ X932)=>![X935:$i]:(((in @ X935 @ X932)=>((X933 @ X934)=>((X933 @ X935)=>((X934)=(X935))))))))))=>(![X912:$i, X913:$i, X914:$i]:(((func @ X912 @ X913 @ X914)=>![X915:$i]:(((in @ X915 @ X912)=>(in @ (kpair @ X915 @ (ap @ X912 @ X913 @ X914 @ X915)) @ X914)))))=>(![X916:$i, X917:$i, X918:$i]:(((in @ X918 @ (funcSet @ X916 @ X917))=>![X919:$i]:(((in @ X919 @ X916)=>(in @ (kpair @ X919 @ (ap @ X916 @ X917 @ X918 @ X919)) @ X918)))))=>(![X920:$i, X921:$i, X922:$i]:(((func @ X920 @ X921 @ X922)=>![X923:$i]:(((in @ X923 @ X920)=>![X924:$i]:(((in @ X924 @ X921)=>((in @ (kpair @ X923 @ X924) @ X922)=>((ap @ X920 @ X921 @ X922 @ X923)=(X924)))))))))=>(![X925:$i, X926:$i, X927:$i]:(((func @ X925 @ X926 @ X927)=>![X928:$i]:(((func @ X925 @ X926 @ X928)=>(![X929:$i]:(((in @ X929 @ X925)=>((ap @ X925 @ X926 @ X927 @ X929)=(ap @ X925 @ X926 @ X928 @ X929))))=>![X930:$i]:(((in @ X930 @ X925)=>![X931:$i]:(((in @ X931 @ X926)=>((in @ (kpair @ X930 @ X931) @ X928)=>(in @ (kpair @ X930 @ X931) @ X927)))))))))))=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X30)=>((ap @ X4 @ X5 @ X30 @ X2)=(X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(assume_negation,[status(cth)],[funcGraphProp4]), vacuousDall]), setextAx]), subsetemptysetimpeq]), setextsub]), subsetTrans]), notsubsetI]), notequalI2]), subsetE]), notequalI1]), eqimpsubset2]), c_0_204]), c_0_205]), subsetRefl]), omega__Cong]), setunion__Cong]), setadjoinSub]), powerset__Cong]), setadjoin__Cong]), c_0_206]), setadjoinSub2]), in__Cong]), inCongP]), subsetI1]), notdallE]), subset2powerset]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), powersetI1]), quantDeMorgan2]), quantDeMorgan1]), secondinupair]), eqimpsubset1]), c_0_207]), powersetE1]), upairsetIL]), upairsetE]), uniqinunit]), inPowerset]), nonemptyImpWitness]), subPowSU]), binunionEcases]), emptyinPowerset]), setadjoinIL]), nonemptyE1]), binunionE]), noeltsimpempty]), setext]), binunionLsub]), c_0_208]), notinemptyset]), prop2setE]), binunionRsub]), c_0_209]), c_0_210]), binintersectSubset5]), wellorderingAx]), foundationAx]), c_0_211]), binintersectRsub]), omegaIndAx]), omegaSAx]), bs114d]), omega0Ax]), subsetI2]), powersetAx]), setadjoinAx]), setminusI]), setminusEL]), setminusSubset2]), setminusLsub]), setminusSubset1]), symdiffI1]), ap2p]), kpairp]), singletoninpowunion]), upairset2E]), upairinpowunion]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodmempair1]), cartprodmempair]), setunionsingleton1]), emptysetsubset]), setunionsingleton]), c_0_212]), c_0_213]), c_0_214]), setukpairinjL1]), setukpairinjR11]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), cartprodsndin]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodpairsurjEq]), c_0_215]), c_0_216]), c_0_217]), c_0_218]), c_0_219]), app]), infuncsetfunc]), c_0_220]), brelnall2]), funcGraphProp1]), funcGraphProp3]), funcGraphProp2]), funcextLem]), c_0_221]), brelnall1]), c_0_222]), c_0_223]), funcinfuncset]), c_0_224]), c_0_225]), c_0_226]), c_0_227]), cartprodsndpairEq]), cartprodpairmemEL]), kpairsurjEq]), ksndpairEq]), c_0_228]), setukpairinjR12]), setukpairinjL]), setukpairinjL2]), cartprodfstin]), kfstpairEq]), theprop]), c_0_229]), singletonsuniq]), c_0_230]), setunionsingleton2]), setunionE2]), cartprodpairin]), ubforcartprodlem1]), upairsubunion]), singletoninpowerset]), singletonsubset]), kpairiskpair]), setukpairIR]), setukpairIL]), symdiffIneg2]), symdiffIneg1]), symdiffI2]), symdiffE]), setminusIRneg]), setminusILneg]), setminusELneg]), setminusERneg]), setminusER]), binintersectSubset1]), binintersectSubset4]), disjointsetsI1]), binintersectER]), binintersectSubset3]), binintersectSubset2]), binintersectLsub]), binintersectEL]), binintersectI]), binunionIR]), upairset2IR]), binunionIL]), c_0_231]), c_0_232]), powersetsubset]), subsetE2]), c_0_233]), emptyset__Cong]), c_0_234]), c_0_235]), c_0_236]), c_0_237]), notdexE]), upairsetIR]), singletonsswitch]), eqinunit]), notinsingleton]), c_0_238]), setunionE]), setunionI]), powersetE]), emptyInPowerset]), powersetI]), c_0_239]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), nonemptyI1]), c_0_240]), c_0_241]), emptyI]), emptysetimpfalse]), emptysetE]), c_0_242]), c_0_243]), c_0_244]), setunionAx]), emptysetAx])])]), c_0_245])). 268.68/34.34 thf(c_0_247, negated_conjecture, ![X1241:$i, X1242:$i, X1244:$i, X1245:$i, X1246:$i, X1247:$i, X1248:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$i, X1254:$i, X1255:$i, X1257:$i, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1263:$i, X1264:$i > $i > $o, X1265:$i, X1268:$i, X1270:$i, X1271:$i, X1272:$i, X1273:$i, X1275:$i, X1276:$i > $o, X1277:$i, X1278:$i > $o, X1279:$i, X1280:$i, X1281:$i > $o, X1282:$i, X1283:$i, X1284:$i > $o, X1285:$i, X1286:$i > $o, X1288:$i, X1289:$o, X1290:$i, X1291:$i, X1292:$o, X1293:$i, X1294:$i, X1295:$i > $o, X1297:$i, X1298:$i, X1301:$i, X1303:$i, X1305:$i, X1306:$i > $o, X1307:$i, X1308:$i, X1310:$i, X1311:$i > $o, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$i, X1317:$i, X1318:$i, X1319:$i, X1320:$i, X1321:$i, X1322:$i, X1323:$o, X1324:$i, X1325:$i, X1326:$i, X1327:$i, X1328:$i, X1329:$i, X1331:$i, X1332:$i, X1333:$i, X1334:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i, X1341:$o, X1343:$i, X1344:$i, X1345:$i > $o, X1347:$i, X1348:$i, X1349:$i, X1351:$i, X1352:$i, X1353:$i, X1354:$i, X1355:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1362:$i, X1363:$i, X1364:$i, X1365:$i, X1366:$i, X1367:$i > $o, X1368:$i, X1369:$i > $o, X1370:$i, X1371:$i, X1372:$i > $o, X1373:$i, X1375:$i, X1376:$i > $o, X1378:$i, X1379:$i, X1380:$i > $o, X1382:$i, X1383:$i, X1384:$i > $o, X1385:$i, X1387:$o, X1388:$i, X1389:$i > $o, X1391:$i, X1392:$i, X1393:$i > $o, X1394:$i, X1396:$i > $o, X1397:$i, X1399:$i > $o, X1400:$i, X1403:$i > $o, X1404:$i, X1406:$i, X1407:$i, X1408:$i, X1409:$i, X1410:$i, X1411:$i, X1412:$i, X1413:$i, X1414:$i > $o, X1415:$i, X1416:$i, X1417:$i > $o, X1418:$i > $o, X1421:$i, X1422:$i, X1423:$i, X1424:$i, X1425:$i, X1426:$i, X1427:$i, X1428:$i, X1429:$i > $o, X1430:$i, X1431:$i, X1432:$i > $o, X1433:$i > $o, X1436:$i, X1437:$i, X1438:$i > $o, X1439:$i > $o, X1442:$i, X1443:$i, X1445:$i, X1446:$i, X1447:$i, X1448:$i, X1449:$i, X1450:$i, X1452:$i, X1453:$i, X1454:$i, X1455:$i, X1456:$i, X1457:$i, X1458:$i, X1459:$i, X1460:$i, X1461:$i, X1462:$i, X1463:$i, X1464:$i, X1465:$i, X1466:$i, X1467:$i, X1468:$i, X1469:$i, X1470:$i, X1471:$i, X1472:$i, X1473:$i, X1474:$i, X1475:$i, X1476:$i, X1477:$i, X1478:$i, X1479:$i, X1480:$i, X1481:$i, X1482:$i, X1483:$i, X1484:$i, X1485:$i, X1486:$i, X1487:$i, X1488:$i, X1489:$i > $o, X1490:$i, X1491:$i > $o, X1492:$i, X1493:$i, X1494:$i, X1495:$i, X1496:$i, X1497:$i, X1498:$i, X1499:$i, X1500:$i, X1501:$i, X1502:$i, X1503:$o, X1504:$i, X1505:$i, X1506:$i, X1507:$i, X1508:$i, X1509:$i, X1510:$i, X1511:$i, X1512:$i, X1513:$i, X1514:$i, X1515:$i, X1516:$i, X1517:$i, X1518:$i, X1519:$i, X1520:$i, X1521:$i, X1522:$i, X1523:$i, X1524:$i, X1525:$i, X1526:$i, X1527:$i, X1528:$i, X1529:$i, X1530:$i, X1532:$i, X1533:$i, X1534:$i, X1535:$i, X1536:$i, X1537:$i, X1538:$i, X1539:$i, X1540:$i, X1541:$i, X1542:$i, X1543:$i, X1544:$i, X1545:$i, X1546:$i, X1547:$i, X1548:$i, X1549:$i, X1550:$i, X1551:$i, X1552:$i, X1553:$i, X1554:$i, X1555:$i, X1556:$i, X1557:$i, X1558:$i, X1559:$i, X1560:$i, X1561:$i, X1562:$i, X1563:$i, X1564:$i, X1565:$i, X1566:$i, X1567:$i, X1568:$i, X1569:$i, X1570:$i, X1571:$o, X1572:$i, X1573:$i, X1574:$i, X1575:$i, X1576:$i, X1577:$i, X1578:$i, X1579:$i, X1580:$i, X1581:$i, X1582:$i, X1583:$i, X1584:$i, X1585:$i, X1586:$i, X1587:$i, X1588:$i, X1589:$i, X1590:$i, X1591:$i, X1592:$i, X1593:$i, X1594:$i, X1595:$i, X1596:$i, X1597:$i, X1598:$i, X1599:$i, X1600:$i, X1601:$i, X1602:$i, X1603:$i, X1604:$i, X1605:$i, X1606:$i, X1607:$i, X1608:$i, X1609:$i, X1610:$i, X1611:$i, X1612:$i, X1613:$i, X1614:$i, X1615:$i, X1616:$i, X1617:$i, X1618:$i, X1619:$i, X1620:$i, X1621:$i, X1622:$i, X1623:$i, X1624:$i, X1625:$i, X1626:$i, X1627:$i, X1628:$i, X1629:$i, X1630:$i, X1633:$i, X1634:$i, X1635:$i, X1636:$i, X1637:$i, X1639:$i, X1640:$i, X1641:$i, X1642:$i, X1643:$i > $o, X1646:$i, X1647:$i, X1648:$i > $o, X1650:$i, X1651:$i > $o, X1652:$i, X1654:$i, X1655:$i > $o, X1658:$i, X1659:$i, X1660:$i, X1661:$i, X1662:$i, X1663:$i, X1664:$i, X1665:$i, X1666:$i, X1667:$i, X1668:$i, X1669:$i, X1670:$i, X1671:$i, X1672:$i, X1673:$i, X1674:$i, X1675:$i, X1676:$i, X1677:$i, X1678:$i, X1679:$i, X1680:$i, X1681:$i, X1682:$i, X1683:$i, X1684:$i, X1685:$i, X1686:$i, X1687:$i, X1688:$i, X1689:$i, X1690:$i, X1691:$i, X1692:$i, X1693:$i, X1694:$i, X1695:$i, X1696:$i, X1697:$i, X1698:$i, X1699:$i, X1700:$i, X1701:$i, X1702:$i, X1703:$i, X1704:$i, X1705:$i, X1706:$i, X1707:$i, X1708:$i, X1709:$i, X1710:$i, X1711:$i, X1712:$i, X1713:$i, X1714:$i, X1715:$i, X1716:$i, X1717:$i, X1718:$i, X1719:$i, X1720:$i, X1721:$i, X1722:$i, X1723:$i, X1724:$i, X1725:$i, X1726:$i, X1727:$i, X1728:$i, X1729:$i, X1730:$i > $i > $o, X1731:$i, X1732:$i, X1733:$i, X1734:$i, X1735:$i > $i > $o, X1736:$i, X1737:$i, X1738:$i > $i > $o, X1739:$i, X1740:$i, X1741:$i > $i > $o, X1742:$i, X1743:$i, X1744:$i, X1745:$i, X1746:$i > $i > $o, X1747:$i, X1748:$i, X1749:$i, X1750:$i, X1751:$i > $i > $o, X1752:$i, X1753:$i, X1754:$i, X1755:$i, X1756:$i > $i > $o, X1757:$i, X1758:$i, X1759:$i, X1760:$i, X1761:$i, X1762:$i, X1763:$i, X1764:$i, X1765:$i, X1766:$i, X1767:$i, X1768:$i, X1769:$i, X1770:$i, X1771:$i, X1772:$i, X1773:$i, X1774:$i, X1775:$i, X1776:$i, X1777:$i, X1778:$i, X1779:$i, X1780:$i, X1781:$i, X1782:$i, X1783:$i > $i, X1785:$i, X1786:$i, X1787:$i > $i, X1789:$i, X1790:$i, X1791:$i > $i, X1793:$i, X1794:$i, X1795:$i, X1796:$i > $o, X1799:$i, X1800:$i, X1801:$i, X1802:$i, X1803:$i > $o, X1806:$i, X1807:$i, X1808:$i > $o, X1809:$i, X1810:$i, X1811:$i, X1812:$i, X1813:$i, X1814:$i, X1815:$i, X1816:$i, X1817:$i, X1818:$i, X1819:$i, X1820:$i, X1821:$i, X1822:$i, X1823:$i, X1824:$i, X1825:$i, X1826:$i, X1827:$i, X1829:$i, X1830:$i]:((((~(in @ (esk1_2 @ X1241 @ X1242) @ X1241)|~(in @ (esk1_2 @ X1241 @ X1242) @ X1242)|((X1241)=(X1242)))&((in @ (esk1_2 @ X1241 @ X1242) @ X1241)|(in @ (esk1_2 @ X1241 @ X1242) @ X1242)|((X1241)=(X1242))))&(~(in @ X1244 @ emptyset)&(((~(in @ X1247 @ (setadjoin @ X1245 @ X1246))|(((X1247)=(X1245))|(in @ X1247 @ X1246)))&((((X1247)!=(X1245))|(in @ X1247 @ (setadjoin @ X1245 @ X1246)))&(~(in @ X1247 @ X1246)|(in @ X1247 @ (setadjoin @ X1245 @ X1246)))))&(((~(in @ X1249 @ (powerset @ X1248))|(~(in @ X1250 @ X1249)|(in @ X1250 @ X1248)))&(((in @ (esk2_2 @ X1251 @ X1252) @ X1252)|(in @ X1252 @ (powerset @ X1251)))&(~(in @ (esk2_2 @ X1251 @ X1252) @ X1251)|(in @ X1252 @ (powerset @ X1251)))))&(((((in @ X1255 @ (esk3_2 @ X1254 @ X1255))|~(in @ X1255 @ (setunion @ X1254)))&((in @ (esk3_2 @ X1254 @ X1255) @ X1254)|~(in @ X1255 @ (setunion @ X1254))))&(~(in @ X1258 @ X1259)|~(in @ X1259 @ X1257)|(in @ X1258 @ (setunion @ X1257))))&((in @ emptyset @ omega)&((~(in @ X1260 @ omega)|(in @ (setadjoin @ X1260 @ X1260) @ omega))&(((((in @ (esk4_1 @ X1261) @ omega)|~(in @ emptyset @ X1261)|(~(in @ X1263 @ omega)|(in @ X1263 @ X1261)))&((in @ (esk4_1 @ X1261) @ X1261)|~(in @ emptyset @ X1261)|(~(in @ X1263 @ omega)|(in @ X1263 @ X1261))))&(~(in @ (setadjoin @ (esk4_1 @ X1261) @ (esk4_1 @ X1261)) @ X1261)|~(in @ emptyset @ X1261)|(~(in @ X1263 @ omega)|(in @ X1263 @ X1261))))&((((((in @ (esk7_3 @ X1264 @ X1265 @ X1268) @ X1265)|~(in @ X1268 @ (esk6_2 @ X1264 @ X1265))|(in @ (esk5_2 @ X1264 @ X1265) @ X1265))&((X1264 @ (esk7_3 @ X1264 @ X1265 @ X1268) @ X1268)|~(in @ X1268 @ (esk6_2 @ X1264 @ X1265))|(in @ (esk5_2 @ X1264 @ X1265) @ X1265)))&(~(in @ X1271 @ X1265)|~(X1264 @ X1271 @ X1270)|(in @ X1270 @ (esk6_2 @ X1264 @ X1265))|(in @ (esk5_2 @ X1264 @ X1265) @ X1265)))&((((in @ (esk7_3 @ X1264 @ X1265 @ X1268) @ X1265)|~(in @ X1268 @ (esk6_2 @ X1264 @ X1265))|~(exu @ (^[Z0/* 3 */:$i]:((X1264 @ (esk5_2 @ X1264 @ X1265) @ Z0)))))&((X1264 @ (esk7_3 @ X1264 @ X1265 @ X1268) @ X1268)|~(in @ X1268 @ (esk6_2 @ X1264 @ X1265))|~(exu @ (^[Z0/* 3 */:$i]:((X1264 @ (esk5_2 @ X1264 @ X1265) @ Z0))))))&(~(in @ X1271 @ X1265)|~(X1264 @ X1271 @ X1270)|(in @ X1270 @ (esk6_2 @ X1264 @ X1265))|~(exu @ (^[Z0/* 3 */:$i]:((X1264 @ (esk5_2 @ X1264 @ X1265) @ Z0)))))))&((((in @ (esk8_1 @ X1272) @ X1272)|~(in @ X1273 @ X1272))&(~(in @ X1275 @ (esk8_1 @ X1272))|~(in @ X1275 @ X1272)|~(in @ X1273 @ X1272)))&((epred1_0)&((~(exu @ (^[Z0/* 3 */:$i]:((X1276 @ Z0))))|(X1276 @ (descr @ (^[Z0/* 3 */:$i]:((X1276 @ Z0))))))&((~(in @ X1279 @ X1277)|(~(X1278 @ X1279)|(in @ X1279 @ (dsetconstr @ X1277 @ (^[Z0/* 3 */:$i]:((X1278 @ Z0)))))))&((~(in @ X1282 @ (dsetconstr @ X1280 @ (^[Z0/* 3 */:$i]:((X1281 @ Z0)))))|(in @ X1282 @ X1280))&((~(in @ X1285 @ (dsetconstr @ X1283 @ (^[Z0/* 3 */:$i]:((X1284 @ Z0)))))|(X1284 @ X1285))&((((X1286 @ (esk9_1 @ X1286))|~(exu @ (^[Z0/* 3 */:$i]:((X1286 @ Z0)))))&(~(X1286 @ X1288)|((esk9_1 @ X1286)=(X1288))|~(exu @ (^[Z0/* 3 */:$i]:((X1286 @ Z0))))))&((~(in @ X1290 @ (prop2set @ ((X1289))))|(X1289))&((~(in @ X1291 @ emptyset)|(X1292))&(~(in @ X1293 @ emptyset)&(~(in @ X1294 @ emptyset)&((~(exu @ (^[Z0/* 3 */:$i]:((X1295 @ Z0))))|(X1295 @ (esk10_1 @ X1295)))&(((((in @ (esk12_2 @ X1297 @ X1298) @ X1298)|((X1297)=(X1298))|(in @ (esk11_2 @ X1297 @ X1298) @ X1297))&(~(in @ (esk12_2 @ X1297 @ X1298) @ X1297)|((X1297)=(X1298))|(in @ (esk11_2 @ X1297 @ X1298) @ X1297)))&(((in @ (esk12_2 @ X1297 @ X1298) @ X1298)|((X1297)=(X1298))|~(in @ (esk11_2 @ X1297 @ X1298) @ X1298))&(~(in @ (esk12_2 @ X1297 @ X1298) @ X1297)|((X1297)=(X1298))|~(in @ (esk11_2 @ X1297 @ X1298) @ X1298))))&(((in @ (esk13_1 @ X1301) @ X1301)|((X1301)=(emptyset)))&(((in @ (esk14_1 @ X1303) @ X1303)|((X1303)=(emptyset)))&(((~(in @ X1307 @ (dsetconstr @ X1305 @ (^[Z0/* 3 */:$i]:((X1306 @ Z0)))))|(X1306 @ X1307)|~(in @ X1307 @ X1305))&(~(X1306 @ X1307)|(in @ X1307 @ (dsetconstr @ X1305 @ (^[Z0/* 3 */:$i]:((X1306 @ Z0)))))|~(in @ X1307 @ X1305)))&((~(nonempty @ X1308)|(in @ (esk15_1 @ X1308) @ X1308))&((~(in @ X1312 @ X1310)|(~(X1311 @ X1312)|(nonempty @ (dsetconstr @ X1310 @ (^[Z0/* 3 */:$i]:((X1311 @ Z0)))))))&((~(in @ X1314 @ X1313)|(nonempty @ X1313))&((in @ X1315 @ (setadjoin @ X1315 @ X1316))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1319 @ X1318)|(in @ X1319 @ (setadjoin @ X1317 @ X1318)))&(((((in @ X1322 @ X1321)|(X1323)|((X1322)=(X1320))|~(in @ X1322 @ (setadjoin @ X1320 @ X1321)))&(~(X1323)|(X1323)|((X1322)=(X1320))|~(in @ X1322 @ (setadjoin @ X1320 @ X1321))))&(((in @ X1322 @ X1321)|(X1323)|~(X1323)|~(in @ X1322 @ (setadjoin @ X1320 @ X1321)))&(~(X1323)|(X1323)|~(X1323)|~(in @ X1322 @ (setadjoin @ X1320 @ X1321)))))&((~(in @ X1326 @ (setadjoin @ X1324 @ X1325))|(((X1326)=(X1324))|(in @ X1326 @ X1325)))&(((dsetconstr @ X1327 @ (^[Z0/* 3 */:$i]:(($true))))=(X1327))&((((in @ (esk16_2 @ X1328 @ X1329) @ X1329)|(in @ X1329 @ (powerset @ X1328)))&(~(in @ (esk16_2 @ X1328 @ X1329) @ X1328)|(in @ X1329 @ (powerset @ X1328))))&((in @ emptyset @ (powerset @ X1331))&((in @ emptyset @ (powerset @ X1332))&((~(in @ X1334 @ (powerset @ X1333))|(~(in @ X1335 @ X1334)|(in @ X1335 @ X1333)))&((~(in @ X1337 @ X1338)|(~(in @ X1338 @ X1336)|(in @ X1337 @ (setunion @ X1336))))&((((in @ X1340 @ (esk17_3 @ X1339 @ X1340 @ X1341))|(X1341)|~(in @ X1340 @ (setunion @ X1339)))&(((in @ (esk17_3 @ X1339 @ X1340 @ X1341) @ X1339)|(X1341)|~(in @ X1340 @ (setunion @ X1339)))&(~(X1341)|(X1341)|~(in @ X1340 @ (setunion @ X1339)))))&((~(in @ X1344 @ X1343)|(in @ X1344 @ (powerset @ (setunion @ X1343))))&(((~(X1345 @ X1347)|((X1347)=(esk18_1 @ X1345))|~(exu @ (^[Z0/* 3 */:$i]:((X1345 @ Z0)))))&(((X1348)!=(esk18_1 @ X1345))|(X1345 @ X1348)|~(exu @ (^[Z0/* 3 */:$i]:((X1345 @ Z0))))))&((~(nonempty @ X1349)|(in @ (esk19_1 @ X1349) @ X1349))&((~(in @ X1351 @ (setadjoin @ X1352 @ emptyset))|((X1351)=(X1352)))&((((X1353)=(X1354))|~(in @ X1354 @ (setadjoin @ X1353 @ emptyset)))&((((X1355)!=(X1356))|(in @ X1355 @ (setadjoin @ X1356 @ emptyset)))&((~(in @ X1357 @ (setadjoin @ X1358 @ emptyset))|(in @ X1358 @ (setadjoin @ X1357 @ emptyset)))&((~(in @ X1361 @ (setadjoin @ X1359 @ (setadjoin @ X1360 @ emptyset)))|(((X1361)=(X1359))|((X1361)=(X1360))))&((in @ X1362 @ (setadjoin @ X1362 @ (setadjoin @ X1363 @ emptyset)))&((in @ X1365 @ (setadjoin @ X1364 @ (setadjoin @ X1365 @ emptyset)))&((~(in @ X1368 @ X1366)|~(X1367 @ X1368)|((dsetconstr @ X1366 @ (^[Z0/* 3 */:$i]:((X1367 @ Z0))))!=(emptyset)))&((~(in @ X1370 @ emptyset)|(X1369 @ X1370))&((((in @ (esk20_2 @ X1371 @ X1372) @ X1371)|(~(in @ X1373 @ X1371)|(X1372 @ X1373)))&(~(X1372 @ (esk20_2 @ X1371 @ X1372))|(~(in @ X1373 @ X1371)|(X1372 @ X1373))))&((((in @ (esk21_2 @ X1375 @ X1376) @ X1375)|(~(in @ X1378 @ X1375)|~(X1376 @ X1378)))&((X1376 @ (esk21_2 @ X1375 @ X1376))|(~(in @ X1378 @ X1375)|~(X1376 @ X1378))))&((((in @ (esk22_2 @ X1379 @ X1380) @ X1379)|(~(in @ X1382 @ X1379)|~(X1380 @ X1382)))&((X1380 @ (esk22_2 @ X1379 @ X1380))|(~(in @ X1382 @ X1379)|~(X1380 @ X1382))))&((((in @ (esk23_2 @ X1383 @ X1384) @ X1383)|(~(in @ X1385 @ X1383)|(X1384 @ X1385)))&(~(X1384 @ (esk23_2 @ X1383 @ X1384))|(~(in @ X1385 @ X1383)|(X1384 @ X1385))))&((~(X1387)|(in @ emptyset @ (prop2set @ ((X1387)))))&((prop2set2propI)&((((in @ (esk24_2 @ X1388 @ X1389) @ X1388)|(~(in @ X1391 @ X1388)|~(X1389 @ X1391)))&((X1389 @ (esk24_2 @ X1388 @ X1389))|(~(in @ X1391 @ X1388)|~(X1389 @ X1391))))&((((in @ (esk25_2 @ X1392 @ X1393) @ X1392)|(~(in @ X1394 @ X1392)|(X1393 @ X1394)))&(~(X1393 @ (esk25_2 @ X1392 @ X1393))|(~(in @ X1394 @ X1392)|(X1393 @ X1394))))&((((X1396 @ (esk26_2 @ X1396 @ X1397))|~(X1396 @ X1397)|(exu @ (^[Z0/* 3 */:$i]:((X1396 @ Z0)))))&(((X1397)!=(esk26_2 @ X1396 @ X1397))|~(X1396 @ X1397)|(exu @ (^[Z0/* 3 */:$i]:((X1396 @ Z0))))))&((((X1399 @ (esk27_1 @ X1399))|(exu @ (^[Z0/* 3 */:$i]:((X1399 @ Z0))))|~(X1399 @ X1400))&(((X1399 @ (esk28_1 @ X1399))|(exu @ (^[Z0/* 3 */:$i]:((X1399 @ Z0))))|~(X1399 @ X1400))&(((esk27_1 @ X1399)!=(esk28_1 @ X1399))|(exu @ (^[Z0/* 3 */:$i]:((X1399 @ Z0))))|~(X1399 @ X1400))))&(((~(X1403 @ (esk29_2 @ X1403 @ X1404))|((esk29_2 @ X1403 @ X1404)!=(X1404))|(exu @ (^[Z0/* 3 */:$i]:((X1403 @ Z0)))))&((X1403 @ (esk29_2 @ X1403 @ X1404))|((esk29_2 @ X1403 @ X1404)=(X1404))|(exu @ (^[Z0/* 3 */:$i]:((X1403 @ Z0))))))&((((X1406)!=(X1407))|(((X1408)!=(X1409))|(~(in @ X1408 @ X1406)|(in @ X1409 @ X1407))))&(((~(in @ X1412 @ X1410)|(in @ X1413 @ X1411)|((X1412)!=(X1413))|((X1410)!=(X1411)))&(~(in @ X1413 @ X1411)|(in @ X1412 @ X1410)|((X1412)!=(X1413))|((X1410)!=(X1411))))&((~(exu @ (^[Z0/* 3 */:$i]:((X1414 @ Z0))))|(~(X1414 @ X1415)|(~(X1414 @ X1416)|((X1415)=(X1416)))))&((((~(exu @ (^[Z0/* 3 */:$i]:((X1417 @ Z0))))|(exu @ (^[Z0/* 3 */:$i]:((X1418 @ Z0))))|((esk30_2 @ X1417 @ X1418)=(esk31_2 @ X1417 @ X1418)))&(~(exu @ (^[Z0/* 3 */:$i]:((X1418 @ Z0))))|(exu @ (^[Z0/* 3 */:$i]:((X1417 @ Z0))))|((esk30_2 @ X1417 @ X1418)=(esk31_2 @ X1417 @ X1418))))&(((~(exu @ (^[Z0/* 3 */:$i]:((X1417 @ Z0))))|(exu @ (^[Z0/* 3 */:$i]:((X1418 @ Z0))))|(~(X1417 @ (esk30_2 @ X1417 @ X1418))|~(X1418 @ (esk31_2 @ X1417 @ X1418))))&(~(exu @ (^[Z0/* 3 */:$i]:((X1418 @ Z0))))|(exu @ (^[Z0/* 3 */:$i]:((X1417 @ Z0))))|(~(X1417 @ (esk30_2 @ X1417 @ X1418))|~(X1418 @ (esk31_2 @ X1417 @ X1418)))))&((~(exu @ (^[Z0/* 3 */:$i]:((X1417 @ Z0))))|(exu @ (^[Z0/* 3 */:$i]:((X1418 @ Z0))))|((X1417 @ (esk30_2 @ X1417 @ X1418))|(X1418 @ (esk31_2 @ X1417 @ X1418))))&(~(exu @ (^[Z0/* 3 */:$i]:((X1418 @ Z0))))|(exu @ (^[Z0/* 3 */:$i]:((X1417 @ Z0))))|((X1417 @ (esk30_2 @ X1417 @ X1418))|(X1418 @ (esk31_2 @ X1417 @ X1418)))))))&(((emptyset)=(emptyset))&((((X1421)!=(X1422))|(((X1423)!=(X1424))|((setadjoin @ X1421 @ X1423)=(setadjoin @ X1422 @ X1424))))&((((X1425)!=(X1426))|((powerset @ X1425)=(powerset @ X1426)))&((((X1427)!=(X1428))|((setunion @ X1427)=(setunion @ X1428)))&(((omega)=(omega))&((~(exu @ (^[Z0/* 3 */:$i]:((X1429 @ Z0))))|(~(X1429 @ X1430)|(~(X1429 @ X1431)|((X1430)=(X1431)))))&(((((esk32_2 @ X1432 @ X1433)=(esk33_2 @ X1432 @ X1433))|(~(exu @ (^[Z0/* 3 */:$i]:((X1432 @ Z0))))|(~(exu @ (^[Z0/* 3 */:$i]:((X1433 @ Z0))))|((descr @ (^[Z0/* 3 */:$i]:((X1432 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1433 @ Z0))))))))&((~(X1432 @ (esk32_2 @ X1432 @ X1433))|~(X1433 @ (esk33_2 @ X1432 @ X1433))|(~(exu @ (^[Z0/* 3 */:$i]:((X1432 @ Z0))))|(~(exu @ (^[Z0/* 3 */:$i]:((X1433 @ Z0))))|((descr @ (^[Z0/* 3 */:$i]:((X1432 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1433 @ Z0))))))))&((X1432 @ (esk32_2 @ X1432 @ X1433))|(X1433 @ (esk33_2 @ X1432 @ X1433))|(~(exu @ (^[Z0/* 3 */:$i]:((X1432 @ Z0))))|(~(exu @ (^[Z0/* 3 */:$i]:((X1433 @ Z0))))|((descr @ (^[Z0/* 3 */:$i]:((X1432 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1433 @ Z0))))))))))&((((in @ (esk34_4 @ X1436 @ X1437 @ X1438 @ X1439) @ X1436)|((dsetconstr @ X1436 @ (^[Z0/* 3 */:$i]:((X1438 @ Z0))))=(dsetconstr @ X1437 @ (^[Z0/* 3 */:$i]:((X1439 @ Z0)))))|((X1436)!=(X1437)))&(((in @ (esk35_4 @ X1436 @ X1437 @ X1438 @ X1439) @ X1437)|((dsetconstr @ X1436 @ (^[Z0/* 3 */:$i]:((X1438 @ Z0))))=(dsetconstr @ X1437 @ (^[Z0/* 3 */:$i]:((X1439 @ Z0)))))|((X1436)!=(X1437)))&((((esk34_4 @ X1436 @ X1437 @ X1438 @ X1439)=(esk35_4 @ X1436 @ X1437 @ X1438 @ X1439))|((dsetconstr @ X1436 @ (^[Z0/* 3 */:$i]:((X1438 @ Z0))))=(dsetconstr @ X1437 @ (^[Z0/* 3 */:$i]:((X1439 @ Z0)))))|((X1436)!=(X1437)))&((~(X1438 @ (esk34_4 @ X1436 @ X1437 @ X1438 @ X1439))|~(X1439 @ (esk35_4 @ X1436 @ X1437 @ X1438 @ X1439))|((dsetconstr @ X1436 @ (^[Z0/* 3 */:$i]:((X1438 @ Z0))))=(dsetconstr @ X1437 @ (^[Z0/* 3 */:$i]:((X1439 @ Z0)))))|((X1436)!=(X1437)))&((X1438 @ (esk34_4 @ X1436 @ X1437 @ X1438 @ X1439))|(X1439 @ (esk35_4 @ X1436 @ X1437 @ X1438 @ X1439))|((dsetconstr @ X1436 @ (^[Z0/* 3 */:$i]:((X1438 @ Z0))))=(dsetconstr @ X1437 @ (^[Z0/* 3 */:$i]:((X1439 @ Z0)))))|((X1436)!=(X1437)))))))&((((in @ (esk36_2 @ X1442 @ X1443) @ X1442)|(subset @ X1442 @ X1443))&(~(in @ (esk36_2 @ X1442 @ X1443) @ X1443)|(subset @ X1442 @ X1443)))&((((X1445)!=(X1446))|(subset @ X1446 @ X1445))&((((X1447)!=(X1448))|(subset @ X1447 @ X1448))&((((in @ (esk37_2 @ X1449 @ X1450) @ X1449)|(subset @ X1449 @ X1450))&(~(in @ (esk37_2 @ X1449 @ X1450) @ X1450)|(subset @ X1449 @ X1450)))&((subset @ emptyset @ X1452)&((~(subset @ X1453 @ X1454)|(~(in @ X1455 @ X1453)|(in @ X1455 @ X1454)))&((~(subset @ X1456 @ X1457)|((in @ X1458 @ X1457)|~(in @ X1458 @ X1456)))&((~(in @ X1461 @ X1459)|((in @ X1461 @ X1460)|~(subset @ X1459 @ X1460)))&(((subset @ X1462 @ X1463)|((X1462)!=(X1463)))&((~(in @ X1466 @ X1464)|((in @ X1466 @ X1465)|((X1464)!=(X1465))))&((subset @ X1467 @ X1467)&((~(subset @ X1468 @ X1469)|(~(subset @ X1469 @ X1470)|(subset @ X1468 @ X1470)))&((subset @ X1472 @ (setadjoin @ X1471 @ X1472))&((~(subset @ X1473 @ X1475)|(subset @ X1473 @ (setadjoin @ X1474 @ X1475)))&((~(subset @ X1476 @ X1477)|(in @ X1476 @ (powerset @ X1477)))&((~(subset @ X1478 @ X1479)|(~(subset @ X1479 @ X1478)|((X1478)=(X1479))))&((~(subset @ X1480 @ emptyset)|((X1480)=(emptyset)))&((~(subset @ X1482 @ X1481)|(in @ X1482 @ (powerset @ X1481)))&((~(in @ X1484 @ (powerset @ X1483))|(subset @ X1484 @ X1483))&((in @ X1485 @ (powerset @ X1485))&((~(subset @ X1486 @ X1487)|(subset @ (powerset @ X1486) @ (powerset @ X1487)))&((in @ (dsetconstr @ X1488 @ (^[Z0/* 3 */:$i]:((X1489 @ Z0)))) @ (powerset @ X1488))&((subset @ (dsetconstr @ X1490 @ (^[Z0/* 3 */:$i]:((X1491 @ Z0)))) @ X1490)&((~(in @ X1494 @ X1492)|(in @ X1494 @ (binunion @ X1492 @ X1493)))&((in @ X1496 @ (setadjoin @ X1495 @ (setadjoin @ X1496 @ emptyset)))&((~(in @ X1499 @ X1498)|(in @ X1499 @ (binunion @ X1497 @ X1498)))&(((((in @ X1502 @ X1501)|(X1503)|(in @ X1502 @ X1500)|~(in @ X1502 @ (binunion @ X1500 @ X1501)))&(~(X1503)|(X1503)|(in @ X1502 @ X1500)|~(in @ X1502 @ (binunion @ X1500 @ X1501))))&(((in @ X1502 @ X1501)|(X1503)|~(X1503)|~(in @ X1502 @ (binunion @ X1500 @ X1501)))&(~(X1503)|(X1503)|~(X1503)|~(in @ X1502 @ (binunion @ X1500 @ X1501)))))&((~(in @ X1506 @ (binunion @ X1504 @ X1505))|((in @ X1506 @ X1504)|(in @ X1506 @ X1505)))&((subset @ X1507 @ (binunion @ X1507 @ X1508))&((subset @ X1510 @ (binunion @ X1509 @ X1510))&((~(in @ X1513 @ X1511)|(~(in @ X1513 @ X1512)|(in @ X1513 @ (binintersect @ X1511 @ X1512))))&((~(subset @ X1516 @ X1514)|(~(subset @ X1516 @ X1515)|(subset @ X1516 @ (binintersect @ X1514 @ X1515))))&((~(in @ X1519 @ (binintersect @ X1517 @ X1518))|(in @ X1519 @ X1517))&((subset @ (binintersect @ X1520 @ X1521) @ X1520)&((~(subset @ X1522 @ X1523)|((binintersect @ X1522 @ X1523)=(X1522)))&((((binintersect @ X1524 @ X1525)!=(X1525))|(subset @ X1525 @ X1524))&((~(in @ X1528 @ (binintersect @ X1526 @ X1527))|(in @ X1528 @ X1527))&((((in @ (esk38_2 @ X1529 @ X1530) @ X1529)|((binintersect @ X1529 @ X1530)=(emptyset)))&((in @ (esk38_2 @ X1529 @ X1530) @ X1530)|((binintersect @ X1529 @ X1530)=(emptyset))))&((subset @ (binintersect @ X1532 @ X1533) @ X1533)&((~(subset @ X1535 @ X1534)|((binintersect @ X1534 @ X1535)=(X1535)))&((((binintersect @ X1536 @ X1537)!=(X1536))|(subset @ X1536 @ X1537))&(((binintersect @ X1538 @ (binunion @ X1539 @ X1540))=(binunion @ (binintersect @ X1538 @ X1539) @ (binintersect @ X1538 @ X1540)))&((~(in @ X1543 @ X1541)|((in @ X1543 @ X1542)|(in @ X1543 @ (setminus @ X1541 @ X1542))))&((~(in @ X1546 @ (setminus @ X1544 @ X1545))|(in @ X1546 @ X1544))&((~(in @ X1549 @ (setminus @ X1547 @ X1548))|~(in @ X1549 @ X1548))&((~(subset @ X1550 @ X1551)|((setminus @ X1550 @ X1551)=(emptyset)))&(((in @ X1554 @ (setminus @ X1552 @ X1553))|(~(in @ X1554 @ X1552)|(in @ X1554 @ X1553)))&(((in @ X1557 @ (setminus @ X1555 @ X1556))|((in @ X1557 @ X1556)|~(in @ X1557 @ X1555)))&(((in @ X1560 @ X1558)|~(in @ X1560 @ (setminus @ X1558 @ X1559)))&((~(in @ X1563 @ X1562)|~(in @ X1563 @ (setminus @ X1561 @ X1562)))&((subset @ (setminus @ X1564 @ X1565) @ X1564)&((((setminus @ X1566 @ X1567)!=(emptyset))|(subset @ X1566 @ X1567))&((((~(in @ X1570 @ X1568)|(X1571)|(in @ X1570 @ X1568)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))&(((in @ X1570 @ X1569)|(X1571)|(in @ X1570 @ X1568)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))&(~(X1571)|(X1571)|(in @ X1570 @ X1568)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))))&(((~(in @ X1570 @ X1568)|(X1571)|~(in @ X1570 @ X1569)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))&(((in @ X1570 @ X1569)|(X1571)|~(in @ X1570 @ X1569)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))&(~(X1571)|(X1571)|~(in @ X1570 @ X1569)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))))&((~(in @ X1570 @ X1568)|(X1571)|~(X1571)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))&(((in @ X1570 @ X1569)|(X1571)|~(X1571)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))&(~(X1571)|(X1571)|~(X1571)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))))))&((~(in @ X1574 @ X1572)|((in @ X1574 @ X1573)|(in @ X1574 @ (symdiff @ X1572 @ X1573))))&(((in @ X1577 @ X1575)|(~(in @ X1577 @ X1576)|(in @ X1577 @ (symdiff @ X1575 @ X1576))))&((~(in @ X1580 @ X1578)|(~(in @ X1580 @ X1579)|~(in @ X1580 @ (symdiff @ X1578 @ X1579))))&(((in @ X1583 @ X1581)|((in @ X1583 @ X1582)|~(in @ X1583 @ (symdiff @ X1581 @ X1582))))&((in @ X1585 @ (setadjoin @ X1584 @ (setadjoin @ X1585 @ emptyset)))&((in @ X1586 @ (setunion @ (setadjoin @ (setadjoin @ X1586 @ emptyset) @ (setadjoin @ (setadjoin @ X1586 @ (setadjoin @ X1587 @ emptyset)) @ emptyset))))&((in @ X1589 @ (setunion @ (setadjoin @ (setadjoin @ X1588 @ emptyset) @ (setadjoin @ (setadjoin @ X1588 @ (setadjoin @ X1589 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1590 @ emptyset) @ (setadjoin @ (setadjoin @ X1590 @ (setadjoin @ X1591 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1592 @ X1593))&((~(in @ X1595 @ X1594)|(subset @ (setadjoin @ X1595 @ emptyset) @ X1594))&((~(in @ X1597 @ X1596)|(in @ (setadjoin @ X1597 @ emptyset) @ (powerset @ X1596)))&((~(in @ X1600 @ X1598)|(in @ (setadjoin @ X1600 @ emptyset) @ (powerset @ (binunion @ X1598 @ X1599))))&((~(in @ X1603 @ (setadjoin @ X1601 @ (setadjoin @ X1602 @ emptyset)))|(((X1603)=(X1601))|((X1603)=(X1602))))&((~(in @ X1606 @ X1604)|(~(in @ X1607 @ X1605)|(subset @ (setadjoin @ X1606 @ (setadjoin @ X1607 @ emptyset)) @ (binunion @ X1604 @ X1605))))&((~(in @ X1610 @ X1608)|(~(in @ X1611 @ X1609)|(in @ (setadjoin @ X1610 @ (setadjoin @ X1611 @ emptyset)) @ (powerset @ (binunion @ X1608 @ X1609)))))&((~(in @ X1614 @ X1612)|(~(in @ X1615 @ X1613)|(subset @ (setadjoin @ (setadjoin @ X1614 @ emptyset) @ (setadjoin @ (setadjoin @ X1614 @ (setadjoin @ X1615 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1612 @ X1613)))))&((~(in @ X1618 @ X1616)|(~(in @ X1619 @ X1617)|(in @ (setadjoin @ (setadjoin @ X1618 @ emptyset) @ (setadjoin @ (setadjoin @ X1618 @ (setadjoin @ X1619 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1616 @ X1617))))))&((~(in @ X1622 @ X1620)|(~(in @ X1623 @ X1621)|(in @ (kpair @ X1622 @ X1623) @ (powerset @ (powerset @ (binunion @ X1620 @ X1621))))))&((~(in @ X1626 @ X1624)|(~(in @ X1627 @ X1625)|(in @ (kpair @ X1626 @ X1627) @ (cartprod @ X1624 @ X1625))))&((((in @ (esk39_3 @ X1628 @ X1629 @ X1630) @ X1628)|~(in @ X1630 @ (cartprod @ X1628 @ X1629)))&(((in @ (esk40_3 @ X1628 @ X1629 @ X1630) @ X1629)|~(in @ X1630 @ (cartprod @ X1628 @ X1629)))&(((X1630)=(kpair @ (esk39_3 @ X1628 @ X1629 @ X1630) @ (esk40_3 @ X1628 @ X1629 @ X1630)))|~(in @ X1630 @ (cartprod @ X1628 @ X1629)))))&((~(in @ X1635 @ (cartprod @ X1633 @ X1634))|(iskpair @ X1635))&((((in @ (esk41_2 @ X1636 @ X1637) @ X1636)|~(in @ X1637 @ (setunion @ X1636)))&((in @ X1637 @ (esk41_2 @ X1636 @ X1637))|~(in @ X1637 @ (setunion @ X1636))))&((subset @ (setunion @ (setadjoin @ X1639 @ emptyset)) @ X1639)&((subset @ X1640 @ (setunion @ (setadjoin @ X1640 @ emptyset)))&(((setunion @ (setadjoin @ X1641 @ emptyset))=(X1641))&((((in @ (esk42_2 @ X1642 @ X1643) @ X1642)|(~(in @ X1646 @ X1642)|~(X1643 @ X1646)|(singleton @ (dsetconstr @ X1642 @ (^[Z0/* 3 */:$i]:((X1643 @ Z0)))))))&(((in @ (esk43_2 @ X1642 @ X1643) @ X1642)|(~(in @ X1646 @ X1642)|~(X1643 @ X1646)|(singleton @ (dsetconstr @ X1642 @ (^[Z0/* 3 */:$i]:((X1643 @ Z0)))))))&(((X1643 @ (esk42_2 @ X1642 @ X1643))|(~(in @ X1646 @ X1642)|~(X1643 @ X1646)|(singleton @ (dsetconstr @ X1642 @ (^[Z0/* 3 */:$i]:((X1643 @ Z0)))))))&(((X1643 @ (esk43_2 @ X1642 @ X1643))|(~(in @ X1646 @ X1642)|~(X1643 @ X1646)|(singleton @ (dsetconstr @ X1642 @ (^[Z0/* 3 */:$i]:((X1643 @ Z0)))))))&(((esk42_2 @ X1642 @ X1643)!=(esk43_2 @ X1642 @ X1643))|(~(in @ X1646 @ X1642)|~(X1643 @ X1646)|(singleton @ (dsetconstr @ X1642 @ (^[Z0/* 3 */:$i]:((X1643 @ Z0)))))))))))&((((in @ (esk44_2 @ X1647 @ X1648) @ X1647)|~(ex1 @ X1647 @ (^[Z0/* 3 */:$i]:((X1648 @ Z0)))))&((X1648 @ (esk44_2 @ X1647 @ X1648))|~(ex1 @ X1647 @ (^[Z0/* 3 */:$i]:((X1648 @ Z0))))))&((((in @ (esk45_3 @ X1650 @ X1651 @ X1652) @ X1650)|(ex1 @ X1650 @ (^[Z0/* 3 */:$i]:((X1651 @ Z0))))|~(X1651 @ X1652)|~(in @ X1652 @ X1650))&(((X1651 @ (esk45_3 @ X1650 @ X1651 @ X1652))|(ex1 @ X1650 @ (^[Z0/* 3 */:$i]:((X1651 @ Z0))))|~(X1651 @ X1652)|~(in @ X1652 @ X1650))&(((esk45_3 @ X1650 @ X1651 @ X1652)!=(X1652))|(ex1 @ X1650 @ (^[Z0/* 3 */:$i]:((X1651 @ Z0))))|~(X1651 @ X1652)|~(in @ X1652 @ X1650))))&((((in @ (esk46_2 @ X1654 @ X1655) @ X1654)|(~(in @ X1658 @ X1654)|~(X1655 @ X1658)|(ex1 @ X1654 @ (^[Z0/* 3 */:$i]:((X1655 @ Z0))))))&(((in @ (esk47_2 @ X1654 @ X1655) @ X1654)|(~(in @ X1658 @ X1654)|~(X1655 @ X1658)|(ex1 @ X1654 @ (^[Z0/* 3 */:$i]:((X1655 @ Z0))))))&(((X1655 @ (esk46_2 @ X1654 @ X1655))|(~(in @ X1658 @ X1654)|~(X1655 @ X1658)|(ex1 @ X1654 @ (^[Z0/* 3 */:$i]:((X1655 @ Z0))))))&(((X1655 @ (esk47_2 @ X1654 @ X1655))|(~(in @ X1658 @ X1654)|~(X1655 @ X1658)|(ex1 @ X1654 @ (^[Z0/* 3 */:$i]:((X1655 @ Z0))))))&(((esk46_2 @ X1654 @ X1655)!=(esk47_2 @ X1654 @ X1655))|(~(in @ X1658 @ X1654)|~(X1655 @ X1658)|(ex1 @ X1654 @ (^[Z0/* 3 */:$i]:((X1655 @ Z0))))))))))&((((setadjoin @ X1659 @ emptyset)!=(setadjoin @ X1660 @ emptyset))|((X1659)=(X1660)))&((~(in @ (setadjoin @ X1663 @ emptyset) @ (setadjoin @ (setadjoin @ X1661 @ emptyset) @ (setadjoin @ (setadjoin @ X1661 @ (setadjoin @ X1662 @ emptyset)) @ emptyset)))|((X1661)=(X1663)))&((~(iskpair @ X1664)|(singleton @ (dsetconstr @ (setunion @ X1664) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1664))))))&((~(singleton @ X1665)|(in @ (setunion @ X1665) @ X1665))&(((kfst @ (kpair @ X1666 @ X1667))=(X1666))&((~(in @ X1670 @ (cartprod @ X1668 @ X1669))|(in @ (kfst @ X1670) @ X1668))&((((setadjoin @ (setadjoin @ X1671 @ emptyset) @ (setadjoin @ (setadjoin @ X1671 @ (setadjoin @ X1672 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1673 @ emptyset) @ (setadjoin @ (setadjoin @ X1673 @ (setadjoin @ X1674 @ emptyset)) @ emptyset)))|((X1671)=(X1673)))&((((kpair @ X1675 @ X1676)!=(kpair @ X1677 @ X1678))|((X1675)=(X1677)))&((((X1679)!=(X1680))|((setadjoin @ X1679 @ (setadjoin @ X1680 @ emptyset))=(setadjoin @ X1679 @ emptyset)))&((((X1681)!=(X1682))|((setadjoin @ (setadjoin @ X1681 @ emptyset) @ (setadjoin @ (setadjoin @ X1681 @ (setadjoin @ X1682 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1681 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X1683 @ emptyset) @ (setadjoin @ (setadjoin @ X1683 @ (setadjoin @ X1684 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1685 @ emptyset) @ (setadjoin @ (setadjoin @ X1685 @ (setadjoin @ X1686 @ emptyset)) @ emptyset)))|(((X1685)!=(X1686))|((X1684)=(X1686))))&((((setadjoin @ X1687 @ (setadjoin @ X1688 @ emptyset))!=(setadjoin @ X1689 @ emptyset))|((X1687)=(X1688)))&((((setadjoin @ (setadjoin @ X1690 @ emptyset) @ (setadjoin @ (setadjoin @ X1690 @ (setadjoin @ X1691 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1692 @ emptyset) @ (setadjoin @ (setadjoin @ X1692 @ (setadjoin @ X1693 @ emptyset)) @ emptyset)))|((X1691)=(X1693)))&((((kpair @ X1694 @ X1695)!=(kpair @ X1696 @ X1697))|((X1695)=(X1697)))&((~(iskpair @ X1698)|(singleton @ (dsetconstr @ (setunion @ X1698) @ (^[Z0/* 3 */:$i]:(((X1698)=(kpair @ (kfst @ X1698) @ Z0)))))))&(((ksnd @ (kpair @ X1699 @ X1700))=(X1700))&((~(iskpair @ X1701)|((kpair @ (kfst @ X1701) @ (ksnd @ X1701))=(X1701)))&((~(in @ X1704 @ (cartprod @ X1702 @ X1703))|(in @ (ksnd @ X1704) @ X1703))&((~(in @ (kpair @ X1707 @ X1708) @ (cartprod @ X1705 @ X1706))|(in @ X1707 @ X1705))&((~(in @ (kpair @ X1711 @ X1712) @ (cartprod @ X1709 @ X1710))|(in @ X1712 @ X1710))&((~(in @ X1715 @ X1713)|(~(in @ X1716 @ X1714)|((kpair @ X1715 @ X1716)=(kpair @ X1715 @ X1716))))&((~(in @ X1719 @ X1717)|(~(in @ X1720 @ X1718)|((kfst @ (kpair @ X1719 @ X1720))=(X1719))))&((~(in @ X1723 @ X1721)|(~(in @ X1724 @ X1722)|((ksnd @ (kpair @ X1723 @ X1724))=(X1724))))&((~(in @ X1727 @ (cartprod @ X1725 @ X1726))|((kpair @ (kfst @ X1727) @ (ksnd @ X1727))=(X1727)))&((~(in @ X1731 @ X1728)|(~(in @ X1732 @ X1729)|(~(X1730 @ X1731 @ X1732)|(in @ (kpair @ X1731 @ X1732) @ (dpsetconstr @ X1728 @ X1729 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1730 @ Z0 @ Z1))))))))&((subset @ (dpsetconstr @ X1733 @ X1734 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1735 @ Z0 @ Z1)))) @ (cartprod @ X1733 @ X1734))&((breln @ X1736 @ X1737 @ (dpsetconstr @ X1736 @ X1737 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1738 @ Z0 @ Z1)))))&((~(in @ X1742 @ X1739)|(~(in @ X1743 @ X1740)|(~(in @ (kpair @ X1742 @ X1743) @ (dpsetconstr @ X1739 @ X1740 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1741 @ Z0 @ Z1)))))|(X1741 @ X1742 @ X1743))))&((~(in @ (kpair @ X1747 @ X1748) @ (dpsetconstr @ X1744 @ X1745 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1746 @ Z0 @ Z1)))))|(in @ X1747 @ X1744))&((~(in @ (kpair @ X1752 @ X1753) @ (dpsetconstr @ X1749 @ X1750 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1751 @ Z0 @ Z1)))))|(in @ X1753 @ X1750))&((~(in @ (kpair @ X1757 @ X1758) @ (dpsetconstr @ X1754 @ X1755 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1756 @ Z0 @ Z1)))))|(X1756 @ X1757 @ X1758))&((~(func @ X1759 @ X1760 @ X1761)|(~(in @ X1762 @ X1759)|(singleton @ (dsetconstr @ X1760 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1762 @ Z0) @ X1761)))))))&((~(func @ X1763 @ X1764 @ X1765)|(~(in @ X1766 @ X1763)|(in @ (setunion @ (dsetconstr @ X1764 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1766 @ Z0) @ X1765))))) @ X1764)))&((~(func @ X1767 @ X1768 @ X1769)|(~(in @ X1770 @ X1767)|(in @ (ap @ X1767 @ X1768 @ X1769 @ X1770) @ X1768)))&((~(in @ X1773 @ (funcSet @ X1771 @ X1772))|(func @ X1771 @ X1772 @ X1773))&((~(in @ X1776 @ (funcSet @ X1774 @ X1775))|(~(in @ X1777 @ X1774)|(in @ (ap @ X1774 @ X1775 @ X1776 @ X1777) @ X1775)))&((~(func @ X1778 @ X1779 @ X1780)|(in @ X1780 @ (funcSet @ X1778 @ X1779)))&((((in @ (esk48_3 @ X1781 @ X1782 @ X1783) @ X1781)|(func @ X1781 @ X1782 @ (dpsetconstr @ X1781 @ X1782 @ (^[Z0/* 3 */:$i]:($eq @ (X1783 @ Z0))))))&(~(in @ (X1783 @ (esk48_3 @ X1781 @ X1782 @ X1783)) @ X1782)|(func @ X1781 @ X1782 @ (dpsetconstr @ X1781 @ X1782 @ (^[Z0/* 3 */:$i]:($eq @ (X1783 @ Z0)))))))&((((in @ (esk49_3 @ X1785 @ X1786 @ X1787) @ X1785)|(func @ X1785 @ X1786 @ (lam @ X1785 @ X1786 @ X1787)))&(~(in @ (X1787 @ (esk49_3 @ X1785 @ X1786 @ X1787)) @ X1786)|(func @ X1785 @ X1786 @ (lam @ X1785 @ X1786 @ X1787))))&((((in @ (esk50_3 @ X1789 @ X1790 @ X1791) @ X1789)|(in @ (lam @ X1789 @ X1790 @ X1791) @ (funcSet @ X1789 @ X1790)))&(~(in @ (X1791 @ (esk50_3 @ X1789 @ X1790 @ X1791)) @ X1790)|(in @ (lam @ X1789 @ X1790 @ X1791) @ (funcSet @ X1789 @ X1790))))&((((in @ (esk51_4 @ X1793 @ X1794 @ X1795 @ X1796) @ X1793)|(~(in @ X1799 @ X1795)|(X1796 @ X1799))|~(breln @ X1793 @ X1794 @ X1795))&(((in @ (esk52_4 @ X1793 @ X1794 @ X1795 @ X1796) @ X1794)|(~(in @ X1799 @ X1795)|(X1796 @ X1799))|~(breln @ X1793 @ X1794 @ X1795))&(((in @ (kpair @ (esk51_4 @ X1793 @ X1794 @ X1795 @ X1796) @ (esk52_4 @ X1793 @ X1794 @ X1795 @ X1796)) @ X1795)|(~(in @ X1799 @ X1795)|(X1796 @ X1799))|~(breln @ X1793 @ X1794 @ X1795))&(~(X1796 @ (kpair @ (esk51_4 @ X1793 @ X1794 @ X1795 @ X1796) @ (esk52_4 @ X1793 @ X1794 @ X1795 @ X1796)))|(~(in @ X1799 @ X1795)|(X1796 @ X1799))|~(breln @ X1793 @ X1794 @ X1795)))))&((((in @ (esk53_4 @ X1800 @ X1801 @ X1802 @ X1803) @ X1800)|(~(in @ X1806 @ X1802)|(X1803 @ X1806))|~(breln @ X1800 @ X1801 @ X1802))&(((in @ (esk54_4 @ X1800 @ X1801 @ X1802 @ X1803) @ X1801)|(~(in @ X1806 @ X1802)|(X1803 @ X1806))|~(breln @ X1800 @ X1801 @ X1802))&(((in @ (kpair @ (esk53_4 @ X1800 @ X1801 @ X1802 @ X1803) @ (esk54_4 @ X1800 @ X1801 @ X1802 @ X1803)) @ X1802)|(~(in @ X1806 @ X1802)|(X1803 @ X1806))|~(breln @ X1800 @ X1801 @ X1802))&(~(X1803 @ (kpair @ (esk53_4 @ X1800 @ X1801 @ X1802 @ X1803) @ (esk54_4 @ X1800 @ X1801 @ X1802 @ X1803)))|(~(in @ X1806 @ X1802)|(X1803 @ X1806))|~(breln @ X1800 @ X1801 @ X1802)))))&((~(ex1 @ X1807 @ (^[Z0/* 3 */:$i]:((X1808 @ Z0))))|(~(in @ X1809 @ X1807)|(~(in @ X1810 @ X1807)|(~(X1808 @ X1809)|(~(X1808 @ X1810)|((X1809)=(X1810)))))))&((~(func @ X1811 @ X1812 @ X1813)|(~(in @ X1814 @ X1811)|(in @ (kpair @ X1814 @ (ap @ X1811 @ X1812 @ X1813 @ X1814)) @ X1813)))&((~(in @ X1817 @ (funcSet @ X1815 @ X1816))|(~(in @ X1818 @ X1815)|(in @ (kpair @ X1818 @ (ap @ X1815 @ X1816 @ X1817 @ X1818)) @ X1817)))&((~(func @ X1819 @ X1820 @ X1821)|(~(in @ X1822 @ X1819)|(~(in @ X1823 @ X1820)|(~(in @ (kpair @ X1822 @ X1823) @ X1821)|((ap @ X1819 @ X1820 @ X1821 @ X1822)=(X1823))))))&((((in @ (esk55_4 @ X1824 @ X1825 @ X1826 @ X1827) @ X1824)|(~(in @ X1829 @ X1824)|(~(in @ X1830 @ X1825)|(~(in @ (kpair @ X1829 @ X1830) @ X1827)|(in @ (kpair @ X1829 @ X1830) @ X1826))))|~(func @ X1824 @ X1825 @ X1827)|~(func @ X1824 @ X1825 @ X1826))&(((ap @ X1824 @ X1825 @ X1826 @ (esk55_4 @ X1824 @ X1825 @ X1826 @ X1827))!=(ap @ X1824 @ X1825 @ X1827 @ (esk55_4 @ X1824 @ X1825 @ X1826 @ X1827)))|(~(in @ X1829 @ X1824)|(~(in @ X1830 @ X1825)|(~(in @ (kpair @ X1829 @ X1830) @ X1827)|(in @ (kpair @ X1829 @ X1830) @ X1826))))|~(func @ X1824 @ X1825 @ X1827)|~(func @ X1824 @ X1825 @ X1826)))&((in @ esk58_0 @ (funcSet @ esk56_0 @ esk57_0))&((in @ esk59_0 @ esk56_0)&((in @ esk60_0 @ esk57_0)&((in @ (kpair @ esk59_0 @ esk60_0) @ esk58_0)&((ap @ esk56_0 @ esk57_0 @ esk58_0 @ esk59_0)!=(esk60_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[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_246])])])])])])). 268.68/34.34 thf(c_0_248, negated_conjecture, ![X2:$i, X3:$i, X7:$i, X5:$i, X4:$i]:((((ap @ X2 @ X3 @ X4 @ X5)=(X7))|~((func @ X2 @ X3 @ X4))|~((in @ X5 @ X2))|~((in @ X7 @ X3))|~((in @ (kpair @ X5 @ X7) @ X4)))), inference(split_conjunct,[status(thm)],[c_0_247])). 268.68/34.34 thf(c_0_249, negated_conjecture, (in @ (kpair @ esk59_0 @ esk60_0) @ esk58_0), inference(split_conjunct,[status(thm)],[c_0_247])). 268.68/34.34 thf(c_0_250, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((func @ X3 @ X4 @ X2)|~((in @ X2 @ (funcSet @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_247])). 268.68/34.34 thf(c_0_251, negated_conjecture, (in @ esk58_0 @ (funcSet @ esk56_0 @ esk57_0)), inference(split_conjunct,[status(thm)],[c_0_247])). 268.68/34.34 thf(c_0_252, negated_conjecture, ((ap @ esk56_0 @ esk57_0 @ esk58_0 @ esk59_0)!=(esk60_0)), inference(split_conjunct,[status(thm)],[c_0_247])). 268.68/34.34 thf(c_0_253, negated_conjecture, ![X3:$i, X2:$i]:((((ap @ X2 @ X3 @ esk58_0 @ esk59_0)=(esk60_0))|~((func @ X2 @ X3 @ esk58_0))|~((in @ esk60_0 @ X3))|~((in @ esk59_0 @ X2)))), inference(spm,[status(thm)],[c_0_248, c_0_249])). 268.68/34.34 thf(c_0_254, negated_conjecture, (func @ esk56_0 @ esk57_0 @ esk58_0), inference(spm,[status(thm)],[c_0_250, c_0_251])). 268.68/34.34 thf(c_0_255, negated_conjecture, (in @ esk60_0 @ esk57_0), inference(split_conjunct,[status(thm)],[c_0_247])). 268.68/34.34 thf(c_0_256, negated_conjecture, (in @ esk59_0 @ esk56_0), inference(split_conjunct,[status(thm)],[c_0_247])). 268.68/34.34 thf(c_0_257, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252, c_0_253]), c_0_254]), c_0_255]), c_0_256])]), ['proof']). 268.68/34.34 # SZS output end CNFRefutation 268.68/34.34 # Parsed axioms : 453 268.68/34.34 # Removed by relevancy pruning/SinE : 249 268.68/34.34 # Initial clauses : 317 268.68/34.34 # Removed in clause preprocessing : 24 268.68/34.34 # Initial clauses in saturation : 293 268.68/34.34 # Processed clauses : 2084 268.68/34.34 # ...of these trivial : 38 268.68/34.34 # ...subsumed : 639 268.68/34.34 # ...remaining for further processing : 1407 268.68/34.34 # Other redundant clauses eliminated : 83 268.68/34.34 # Clauses deleted for lack of memory : 0 268.68/34.34 # Backward-subsumed : 45 268.68/34.34 # Backward-rewritten : 19 268.68/34.34 # Generated clauses : 45794 268.68/34.34 # ...of the previous two non-redundant : 44570 268.68/34.34 # ...aggressively subsumed : 0 268.68/34.34 # Contextual simplify-reflections : 3 268.68/34.34 # Paramodulations : 45692 268.68/34.34 # Factorizations : 2 268.68/34.34 # NegExts : 2 268.68/34.34 # Equation resolutions : 88 268.68/34.34 # Total rewrite steps : 1904 268.68/34.34 # Propositional unsat checks : 0 268.68/34.34 # Propositional check models : 0 268.68/34.34 # Propositional check unsatisfiable : 0 268.68/34.34 # Propositional clauses : 0 268.68/34.34 # Propositional clauses after purity: 0 268.68/34.34 # Propositional unsat core size : 0 268.68/34.34 # Propositional preprocessing time : 0.000 268.68/34.34 # Propositional encoding time : 0.000 268.68/34.34 # Propositional solver time : 0.000 268.68/34.34 # Success case prop preproc time : 0.000 268.68/34.34 # Success case prop encoding time : 0.000 268.68/34.34 # Success case prop solver time : 0.000 268.68/34.34 # Current number of processed clauses : 1075 268.68/34.34 # Positive orientable unit clauses : 105 268.68/34.34 # Positive unorientable unit clauses: 0 268.68/34.34 # Negative unit clauses : 32 268.68/34.34 # Non-unit-clauses : 938 268.68/34.34 # Current number of unprocessed clauses: 42870 268.68/34.34 # ...number of literals in the above : 140896 268.68/34.34 # Current number of archived formulas : 0 268.68/34.34 # Current number of archived clauses : 319 268.68/34.34 # Clause-clause subsumption calls (NU) : 97909 268.68/34.34 # Rec. Clause-clause subsumption calls : 73926 268.68/34.34 # Non-unit clause-clause subsumptions : 314 268.68/34.34 # Unit Clause-clause subsumption calls : 7368 268.68/34.34 # Rewrite failures with RHS unbound : 0 268.68/34.34 # BW rewrite match attempts : 38 268.68/34.34 # BW rewrite match successes : 13 268.68/34.34 # Condensation attempts : 2084 268.68/34.34 # Condensation successes : 14 268.68/34.34 # Termbank termtop insertions : 773281 268.68/34.34 268.68/34.34 # ------------------------------------------------- 268.68/34.34 # User time : 32.929 s 268.68/34.34 # System time : 0.848 s 268.68/34.34 # Total time : 33.777 s 268.68/34.34 # Maximum resident set size: 6512 pages 270.15/34.72 270.15/34.72 # ------------------------------------------------- 270.15/34.72 # User time : 32.941 s 270.15/34.72 # System time : 0.851 s 270.15/34.72 # Total time : 33.792 s 270.15/34.72 # Maximum resident set size: 2344 pages 270.15/34.72 % E---3.1 exiting 270.15/34.72 EOF