0.11/0.16 % Problem : Vampire---4.8_6311 : TPTP v0.0.0. Released v0.0.0. 0.11/0.17 % Command : run_E %s %d THM 0.16/0.38 % Computer : n021.cluster.edu 0.16/0.38 % Model : x86_64 x86_64 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.38 % Memory : 8042.1875MB 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.38 % CPULimit : 1440 0.16/0.38 % WCLimit : 180 0.16/0.38 % DateTime : Mon Jul 3 13:06:37 EDT 2023 0.16/0.38 % CPUTime : 0.23/0.54 Running higher-order theorem provingRunning: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311 0.23/0.54 # Version: 3.1pre001-ho 0.54/0.66 # Preprocessing class: HSLMSLSSLLLCHSA. 0.54/0.66 # Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.54/0.66 # Starting ho_unfolding_5 with 720s (4) cores 0.54/0.66 # Starting pre_casc_3 with 180s (1) cores 0.54/0.66 # Starting new_ho_10_cnf2 with 180s (1) cores 0.54/0.66 # Starting full_lambda_10 with 180s (1) cores 0.54/0.66 # Starting ehoh_best_nonlift_rwall with 180s (1) cores 0.54/0.66 # ehoh_best_nonlift_rwall with pid 6561 completed with status 0 0.54/0.66 # Result found by ehoh_best_nonlift_rwall 0.54/0.66 # Preprocessing class: HSLMSLSSLLLCHSA. 0.54/0.66 # Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.54/0.66 # Starting ho_unfolding_5 with 720s (4) cores 0.54/0.66 # Starting pre_casc_3 with 180s (1) cores 0.54/0.66 # Starting new_ho_10_cnf2 with 180s (1) cores 0.54/0.66 # Starting full_lambda_10 with 180s (1) cores 0.54/0.66 # Starting ehoh_best_nonlift_rwall with 180s (1) cores 0.54/0.66 # No SInE strategy applied 0.54/0.66 # Search class: HGHSM-FSLM31-DHSMMSBN 0.54/0.66 # partial match(1): HGHSM-FSLM31-MHSMMSBN 0.54/0.66 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.54/0.66 # Starting new_ho_10_cnf2 with 105s (1) cores 0.54/0.66 # new_ho_10_cnf2 with pid 6569 completed with status 0 0.54/0.66 # Result found by new_ho_10_cnf2 0.54/0.66 # Preprocessing class: HSLMSLSSLLLCHSA. 0.54/0.66 # Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.54/0.66 # Starting ho_unfolding_5 with 720s (4) cores 0.54/0.66 # Starting pre_casc_3 with 180s (1) cores 0.54/0.66 # Starting new_ho_10_cnf2 with 180s (1) cores 0.54/0.66 # Starting full_lambda_10 with 180s (1) cores 0.54/0.66 # Starting ehoh_best_nonlift_rwall with 180s (1) cores 0.54/0.66 # No SInE strategy applied 0.54/0.66 # Search class: HGHSM-FSLM31-DHSMMSBN 0.54/0.66 # partial match(1): HGHSM-FSLM31-MHSMMSBN 0.54/0.66 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.54/0.66 # Starting new_ho_10_cnf2 with 105s (1) cores 0.54/0.66 # Preprocessing time : 0.007 s 0.54/0.66 # Presaturation interreduction done 0.54/0.66 0.54/0.66 # Proof found! 0.54/0.66 # SZS status Theorem 0.54/0.66 # SZS output start CNFRefutation 0.54/0.66 thf(decl_22, type, in: $i > $i > $o). 0.54/0.66 thf(decl_23, type, exu: ($i > $o) > $o). 0.54/0.66 thf(decl_24, type, setextAx: $o). 0.54/0.66 thf(decl_25, type, emptyset: $i). 0.54/0.66 thf(decl_26, type, emptysetAx: $o). 0.54/0.66 thf(decl_27, type, setadjoin: $i > $i > $i). 0.54/0.66 thf(decl_28, type, setadjoinAx: $o). 0.54/0.66 thf(decl_29, type, powerset: $i > $i). 0.54/0.66 thf(decl_30, type, powersetAx: $o). 0.54/0.66 thf(decl_31, type, setunion: $i > $i). 0.54/0.66 thf(decl_32, type, setunionAx: $o). 0.54/0.66 thf(decl_33, type, omega: $i). 0.54/0.66 thf(decl_34, type, omega0Ax: $o). 0.54/0.66 thf(decl_35, type, omegaSAx: $o). 0.54/0.66 thf(decl_36, type, omegaIndAx: $o). 0.54/0.66 thf(decl_37, type, replAx: $o). 0.54/0.66 thf(decl_38, type, foundationAx: $o). 0.54/0.66 thf(decl_39, type, wellorderingAx: $o). 0.54/0.66 thf(decl_40, type, descr: ($i > $o) > $i). 0.54/0.66 thf(decl_41, type, descrp: $o). 0.54/0.66 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_43, type, dsetconstrI: $o). 0.54/0.66 thf(decl_44, type, dsetconstrEL: $o). 0.54/0.66 thf(decl_45, type, dsetconstrER: $o). 0.54/0.66 thf(decl_46, type, exuE1: $o). 0.54/0.66 thf(decl_47, type, prop2set: $o > $i). 0.54/0.66 thf(decl_48, type, prop2setE: $o). 0.54/0.66 thf(decl_49, type, emptysetE: $o). 0.54/0.66 thf(decl_50, type, emptysetimpfalse: $o). 0.54/0.66 thf(decl_51, type, notinemptyset: $o). 0.54/0.66 thf(decl_52, type, exuE3e: $o). 0.54/0.66 thf(decl_53, type, setext: $o). 0.54/0.66 thf(decl_54, type, emptyI: $o). 0.54/0.66 thf(decl_55, type, noeltsimpempty: $o). 0.54/0.66 thf(decl_56, type, setbeta: $o). 0.54/0.66 thf(decl_57, type, nonempty: $i > $o). 0.54/0.66 thf(decl_58, type, nonemptyE1: $o). 0.54/0.66 thf(decl_59, type, nonemptyI: $o). 0.54/0.66 thf(decl_60, type, nonemptyI1: $o). 0.54/0.66 thf(decl_61, type, setadjoinIL: $o). 0.54/0.66 thf(decl_62, type, emptyinunitempty: $o). 0.54/0.66 thf(decl_63, type, setadjoinIR: $o). 0.54/0.66 thf(decl_64, type, setadjoinE: $o). 0.54/0.66 thf(decl_65, type, setadjoinOr: $o). 0.54/0.66 thf(decl_66, type, setoftrueEq: $o). 0.54/0.66 thf(decl_67, type, powersetI: $o). 0.54/0.66 thf(decl_68, type, emptyinPowerset: $o). 0.54/0.66 thf(decl_69, type, emptyInPowerset: $o). 0.54/0.66 thf(decl_70, type, powersetE: $o). 0.54/0.66 thf(decl_71, type, setunionI: $o). 0.54/0.66 thf(decl_72, type, setunionE: $o). 0.54/0.66 thf(decl_73, type, subPowSU: $o). 0.54/0.66 thf(decl_74, type, exuE2: $o). 0.54/0.66 thf(decl_75, type, nonemptyImpWitness: $o). 0.54/0.66 thf(decl_76, type, uniqinunit: $o). 0.54/0.66 thf(decl_77, type, notinsingleton: $o). 0.54/0.66 thf(decl_78, type, eqinunit: $o). 0.54/0.66 thf(decl_79, type, singletonsswitch: $o). 0.54/0.66 thf(decl_80, type, upairsetE: $o). 0.54/0.66 thf(decl_81, type, upairsetIL: $o). 0.54/0.66 thf(decl_82, type, upairsetIR: $o). 0.54/0.66 thf(decl_83, type, emptyE1: $o). 0.54/0.66 thf(decl_84, type, vacuousDall: $o). 0.54/0.66 thf(decl_85, type, quantDeMorgan1: $o). 0.54/0.66 thf(decl_86, type, quantDeMorgan2: $o). 0.54/0.66 thf(decl_87, type, quantDeMorgan3: $o). 0.54/0.66 thf(decl_88, type, quantDeMorgan4: $o). 0.54/0.66 thf(decl_89, type, prop2setI: $o). 0.54/0.66 thf(decl_90, type, set2prop: $i > $o). 0.54/0.66 thf(decl_91, type, prop2set2propI: $o). 0.54/0.66 thf(decl_92, type, notdexE: $o). 0.54/0.66 thf(decl_93, type, notdallE: $o). 0.54/0.66 thf(decl_94, type, exuI1: $o). 0.54/0.66 thf(decl_95, type, exuI3: $o). 0.54/0.66 thf(decl_96, type, exuI2: $o). 0.54/0.66 thf(decl_97, type, inCongP: $o). 0.54/0.66 thf(decl_98, type, in__Cong: $o). 0.54/0.66 thf(decl_99, type, exuE3u: $o). 0.54/0.66 thf(decl_100, type, exu__Cong: $o). 0.54/0.66 thf(decl_101, type, emptyset__Cong: $o). 0.54/0.66 thf(decl_102, type, setadjoin__Cong: $o). 0.54/0.66 thf(decl_103, type, powerset__Cong: $o). 0.54/0.66 thf(decl_104, type, setunion__Cong: $o). 0.54/0.66 thf(decl_105, type, omega__Cong: $o). 0.54/0.66 thf(decl_106, type, exuEu: $o). 0.54/0.66 thf(decl_107, type, descr__Cong: $o). 0.54/0.66 thf(decl_108, type, dsetconstr__Cong: $o). 0.54/0.66 thf(decl_109, type, subset: $i > $i > $o). 0.54/0.66 thf(decl_112, type, subsetI1: $o). 0.54/0.66 thf(decl_113, type, eqimpsubset2: $o). 0.54/0.66 thf(decl_114, type, eqimpsubset1: $o). 0.54/0.66 thf(decl_115, type, subsetI2: $o). 0.54/0.66 thf(decl_116, type, emptysetsubset: $o). 0.54/0.66 thf(decl_117, type, subsetE: $o). 0.54/0.66 thf(decl_118, type, subsetE2: $o). 0.54/0.66 thf(decl_119, type, notsubsetI: $o). 0.54/0.66 thf(decl_120, type, notequalI1: $o). 0.54/0.66 thf(decl_121, type, notequalI2: $o). 0.54/0.66 thf(decl_122, type, subsetRefl: $o). 0.54/0.66 thf(decl_123, type, subsetTrans: $o). 0.54/0.66 thf(decl_124, type, setadjoinSub: $o). 0.54/0.66 thf(decl_125, type, setadjoinSub2: $o). 0.54/0.66 thf(decl_126, type, subset2powerset: $o). 0.54/0.66 thf(decl_127, type, setextsub: $o). 0.54/0.66 thf(decl_128, type, subsetemptysetimpeq: $o). 0.54/0.66 thf(decl_129, type, powersetI1: $o). 0.54/0.66 thf(decl_130, type, powersetE1: $o). 0.54/0.66 thf(decl_131, type, inPowerset: $o). 0.54/0.66 thf(decl_132, type, powersetsubset: $o). 0.54/0.66 thf(decl_133, type, sepInPowerset: $o). 0.54/0.66 thf(decl_134, type, sepSubset: $o). 0.54/0.66 thf(decl_135, type, binunion: $i > $i > $i). 0.54/0.66 thf(decl_136, type, binunionIL: $o). 0.54/0.66 thf(decl_137, type, upairset2IR: $o). 0.54/0.66 thf(decl_138, type, binunionIR: $o). 0.54/0.66 thf(decl_139, type, binunionEcases: $o). 0.54/0.66 thf(decl_140, type, binunionE: $o). 0.54/0.66 thf(decl_141, type, binunionLsub: $o). 0.54/0.66 thf(decl_142, type, binunionRsub: $o). 0.54/0.66 thf(decl_143, type, binintersect: $i > $i > $i). 0.54/0.66 thf(decl_144, type, binintersectI: $o). 0.54/0.66 thf(decl_145, type, binintersectSubset5: $o). 0.54/0.66 thf(decl_146, type, binintersectEL: $o). 0.54/0.66 thf(decl_147, type, binintersectLsub: $o). 0.54/0.66 thf(decl_148, type, binintersectSubset2: $o). 0.54/0.66 thf(decl_149, type, binintersectSubset3: $o). 0.54/0.66 thf(decl_150, type, binintersectER: $o). 0.54/0.66 thf(decl_151, type, disjointsetsI1: $o). 0.54/0.66 thf(decl_152, type, binintersectRsub: $o). 0.54/0.66 thf(decl_153, type, binintersectSubset4: $o). 0.54/0.66 thf(decl_154, type, binintersectSubset1: $o). 0.54/0.66 thf(decl_155, type, bs114d: $o). 0.54/0.66 thf(decl_157, type, setminus: $i > $i > $i). 0.54/0.66 thf(decl_158, type, setminusI: $o). 0.54/0.66 thf(decl_159, type, setminusEL: $o). 0.54/0.66 thf(decl_160, type, setminusER: $o). 0.54/0.66 thf(decl_161, type, setminusSubset2: $o). 0.54/0.66 thf(decl_162, type, setminusERneg: $o). 0.54/0.66 thf(decl_163, type, setminusELneg: $o). 0.54/0.66 thf(decl_164, type, setminusILneg: $o). 0.54/0.66 thf(decl_165, type, setminusIRneg: $o). 0.54/0.66 thf(decl_166, type, setminusLsub: $o). 0.54/0.66 thf(decl_167, type, setminusSubset1: $o). 0.54/0.66 thf(decl_168, type, symdiff: $i > $i > $i). 0.54/0.66 thf(decl_169, type, symdiffE: $o). 0.54/0.66 thf(decl_170, type, symdiffI1: $o). 0.54/0.66 thf(decl_171, type, symdiffI2: $o). 0.54/0.66 thf(decl_172, type, symdiffIneg1: $o). 0.54/0.66 thf(decl_173, type, symdiffIneg2: $o). 0.54/0.66 thf(decl_174, type, iskpair: $i > $o). 0.54/0.66 thf(decl_175, type, secondinupair: $o). 0.54/0.66 thf(decl_176, type, setukpairIL: $o). 0.54/0.66 thf(decl_177, type, setukpairIR: $o). 0.54/0.66 thf(decl_178, type, kpairiskpair: $o). 0.54/0.66 thf(decl_179, type, kpair: $i > $i > $i). 0.54/0.66 thf(decl_180, type, kpairp: $o). 0.54/0.66 thf(decl_181, type, cartprod: $i > $i > $i). 0.54/0.66 thf(decl_182, type, singletonsubset: $o). 0.54/0.66 thf(decl_183, type, singletoninpowerset: $o). 0.54/0.66 thf(decl_184, type, singletoninpowunion: $o). 0.54/0.66 thf(decl_185, type, upairset2E: $o). 0.54/0.66 thf(decl_186, type, upairsubunion: $o). 0.54/0.66 thf(decl_187, type, upairinpowunion: $o). 0.54/0.66 thf(decl_188, type, ubforcartprodlem1: $o). 0.54/0.66 thf(decl_189, type, ubforcartprodlem2: $o). 0.54/0.66 thf(decl_190, type, ubforcartprodlem3: $o). 0.54/0.66 thf(decl_191, type, cartprodpairin: $o). 0.54/0.66 thf(decl_192, type, cartprodmempair1: $o). 0.54/0.66 thf(decl_193, type, cartprodmempair: $o). 0.54/0.66 thf(decl_194, type, setunionE2: $o). 0.54/0.66 thf(decl_195, type, setunionsingleton1: $o). 0.54/0.66 thf(decl_196, type, setunionsingleton2: $o). 0.54/0.66 thf(decl_197, type, setunionsingleton: $o). 0.54/0.66 thf(decl_198, type, singleton: $i > $o). 0.54/0.66 thf(decl_199, type, singletonprop: $o). 0.54/0.66 thf(decl_200, type, ex1: $i > ($i > $o) > $o). 0.54/0.66 thf(decl_201, type, ex1E1: $o). 0.54/0.66 thf(decl_202, type, ex1I: $o). 0.54/0.66 thf(decl_203, type, ex1I2: $o). 0.54/0.66 thf(decl_204, type, singletonsuniq: $o). 0.54/0.66 thf(decl_209, type, setukpairinjL1: $o). 0.54/0.66 thf(decl_210, type, kfstsingleton: $o). 0.54/0.66 thf(decl_211, type, theprop: $o). 0.54/0.66 thf(decl_212, type, kfst: $i > $i). 0.54/0.66 thf(decl_213, type, kfstpairEq: $o). 0.54/0.66 thf(decl_214, type, cartprodfstin: $o). 0.54/0.66 thf(decl_215, type, setukpairinjL2: $o). 0.54/0.66 thf(decl_216, type, setukpairinjL: $o). 0.54/0.66 thf(decl_217, type, setukpairinjR11: $o). 0.54/0.66 thf(decl_218, type, setukpairinjR12: $o). 0.54/0.66 thf(decl_219, type, setukpairinjR1: $o). 0.54/0.66 thf(decl_220, type, upairequniteq: $o). 0.54/0.66 thf(decl_221, type, setukpairinjR2: $o). 0.54/0.66 thf(decl_222, type, setukpairinjR: $o). 0.54/0.66 thf(decl_223, type, ksndsingleton: $o). 0.54/0.66 thf(decl_224, type, ksnd: $i > $i). 0.54/0.66 thf(decl_225, type, ksndpairEq: $o). 0.54/0.66 thf(decl_226, type, kpairsurjEq: $o). 0.54/0.66 thf(decl_227, type, cartprodsndin: $o). 0.54/0.66 thf(decl_228, type, cartprodpairmemEL: $o). 0.54/0.66 thf(decl_229, type, cartprodpairmemER: $o). 0.54/0.66 thf(decl_230, type, cartprodmempaircEq: $o). 0.54/0.66 thf(decl_231, type, cartprodfstpairEq: $o). 0.54/0.66 thf(decl_232, type, cartprodsndpairEq: $o). 0.54/0.66 thf(decl_233, type, cartprodpairsurjEq: $o). 0.54/0.66 thf(decl_234, type, breln: $i > $i > $i > $o). 0.54/0.66 thf(decl_235, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 0.54/0.66 thf(decl_236, type, dpsetconstrI: $o). 0.54/0.66 thf(decl_237, type, dpsetconstrSub: $o). 0.54/0.66 thf(decl_238, type, setOfPairsIsBReln: $o). 0.54/0.66 thf(decl_239, type, dpsetconstrERa: $o). 0.54/0.66 thf(decl_240, type, dpsetconstrEL1: $o). 0.54/0.66 thf(decl_241, type, dpsetconstrEL2: $o). 0.54/0.66 thf(decl_242, type, epred1_0: $o). 0.54/0.66 thf(decl_243, type, esk1_2: $i > $i > $i). 0.54/0.66 thf(decl_244, type, esk2_2: $i > $i > $i). 0.54/0.66 thf(decl_245, type, esk3_2: $i > $i > $i). 0.54/0.66 thf(decl_246, type, esk4_1: $i > $i). 0.54/0.66 thf(decl_247, type, esk5_2: ($i > $i > $o) > $i > $i). 0.54/0.66 thf(decl_248, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.54/0.66 thf(decl_249, type, esk7_2: ($i > $i > $o) > $i > $i). 0.54/0.66 thf(decl_250, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.54/0.66 thf(decl_251, type, esk9_1: $i > $i). 0.54/0.66 thf(decl_252, type, esk10_2: ($i > $o) > $i > $i). 0.54/0.66 thf(decl_253, type, esk11_2: ($i > $o) > $i > $i). 0.54/0.66 thf(decl_254, type, esk12_1: ($i > $o) > $i). 0.54/0.66 thf(decl_255, type, esk13_2: ($i > $o) > $i > $i). 0.54/0.66 thf(decl_256, type, esk14_1: ($i > $o) > $i). 0.54/0.66 thf(decl_257, type, esk15_2: $i > $i > $i). 0.54/0.66 thf(decl_258, type, esk16_2: $i > $i > $i). 0.54/0.66 thf(decl_259, type, esk17_1: $i > $i). 0.54/0.66 thf(decl_260, type, esk18_1: $i > $i). 0.54/0.66 thf(decl_261, type, esk19_1: $i > $i). 0.54/0.66 thf(decl_262, type, esk20_2: $i > $i > $i). 0.54/0.66 thf(decl_263, type, esk21_3: $i > $i > $o > $i). 0.54/0.66 thf(decl_264, type, esk22_2: ($i > $o) > $i > $i). 0.54/0.66 thf(decl_265, type, esk23_1: ($i > $o) > $i). 0.54/0.66 thf(decl_266, type, esk24_1: $i > $i). 0.54/0.66 thf(decl_267, type, esk25_2: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_268, type, esk26_2: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_269, type, esk27_2: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_270, type, esk28_2: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_271, type, esk29_2: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_272, type, esk30_2: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_273, type, esk31_2: ($i > $o) > $i > $i). 0.54/0.66 thf(decl_274, type, esk32_1: ($i > $o) > $i). 0.54/0.66 thf(decl_275, type, esk33_1: ($i > $o) > $i). 0.54/0.66 thf(decl_276, type, esk34_1: ($i > $o) > $i). 0.54/0.66 thf(decl_277, type, esk35_1: ($i > $o) > $i). 0.54/0.66 thf(decl_278, type, esk36_2: ($i > $o) > $i > $i). 0.54/0.66 thf(decl_279, type, esk37_1: ($i > $o) > $i). 0.54/0.66 thf(decl_280, type, esk38_2: ($i > $o) > $i > $i). 0.54/0.66 thf(decl_281, type, esk39_2: ($i > $o) > ($i > $o) > $i). 0.54/0.66 thf(decl_282, type, esk40_2: ($i > $o) > ($i > $o) > $i). 0.54/0.66 thf(decl_283, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 0.54/0.66 thf(decl_284, type, esk42_2: ($i > $o) > ($i > $o) > $i). 0.54/0.66 thf(decl_285, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 0.54/0.66 thf(decl_286, type, esk44_2: ($i > $o) > ($i > $o) > $i). 0.54/0.66 thf(decl_287, type, esk45_2: ($i > $o) > $i > $i). 0.54/0.66 thf(decl_288, type, esk46_2: ($i > $o) > ($i > $o) > $i). 0.54/0.66 thf(decl_289, type, esk47_2: ($i > $o) > ($i > $o) > $i). 0.54/0.66 thf(decl_290, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 0.54/0.66 thf(decl_291, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 0.54/0.66 thf(decl_292, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.54/0.66 thf(decl_293, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.54/0.66 thf(decl_294, type, esk52_2: $i > $i > $i). 0.54/0.66 thf(decl_295, type, esk53_2: $i > $i > $i). 0.54/0.66 thf(decl_296, type, esk54_2: $i > $i > $i). 0.54/0.66 thf(decl_297, type, esk55_3: $i > $i > $i > $i). 0.54/0.66 thf(decl_298, type, esk56_3: $i > $i > $i > $i). 0.54/0.66 thf(decl_299, type, esk57_2: $i > $i > $i). 0.54/0.66 thf(decl_300, type, esk58_2: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_301, type, esk59_2: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_302, type, esk60_2: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_303, type, esk61_2: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_304, type, esk62_3: $i > ($i > $o) > $i > $i). 0.54/0.66 thf(decl_305, type, esk63_3: $i > ($i > $o) > $i > $i). 0.54/0.66 thf(decl_306, type, esk64_2: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_307, type, esk65_2: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_308, type, esk66_2: $i > ($i > $o) > $i). 0.54/0.66 thf(decl_309, type, esk67_1: $i > $i). 0.54/0.66 thf(decl_310, type, esk68_1: $i > $i). 0.54/0.66 thf(decl_311, type, esk69_0: $i). 0.54/0.66 thf(decl_312, type, esk70_0: $i). 0.54/0.66 thf(decl_313, type, epred2_0: $i > $i > $o). 0.54/0.66 thf(decl_314, type, esk71_0: $i). 0.54/0.66 thf(decl_315, type, esk72_0: $i). 0.54/0.66 thf(decl_321, type, esk78_0: $i). 0.54/0.66 thf(decl_322, type, esk79_0: $i). 0.54/0.66 thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', ex1)). 0.54/0.66 thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:(((in @ X2 @ X4)&((X4)=(setadjoin @ X2 @ emptyset))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', singleton)). 0.54/0.66 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', replAx)). 0.54/0.66 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', exu)). 0.54/0.66 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', descrp)). 0.54/0.66 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', exuE1)). 0.54/0.66 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', exuE3e)). 0.54/0.66 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', nonempty)). 0.54/0.66 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', nonemptyI)). 0.54/0.66 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', exuE2)). 0.54/0.66 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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', exuI1)). 0.54/0.66 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', exuI3)). 0.54/0.66 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', exuI2)). 0.54/0.66 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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', exuE3u)). 0.54/0.66 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', exu__Cong)). 0.54/0.66 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', exuEu)). 0.54/0.66 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', descr__Cong)). 0.54/0.66 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', singletonprop)). 0.54/0.66 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', ex1E1)). 0.54/0.66 thf(ex1I, axiom, ((ex1I)<=>![X4:$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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', ex1I)). 0.54/0.66 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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', ex1I2)). 0.54/0.66 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', kfstsingleton)). 0.54/0.66 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', ksndsingleton)). 0.54/0.66 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X23:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X23 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X23 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', dpsetconstrI)). 0.54/0.66 thf(dpsetconstr, axiom, ((dpsetconstr)=(^[X4:$i, X5:$i, X22:$i > $i > $o]:(dsetconstr @ (cartprod @ X4 @ X5) @ (^[X18:$i]:(?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:((((in @ X3 @ X5)&(X22 @ X2 @ X3))&((X18)=(kpair @ X2 @ X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', dpsetconstr)). 0.54/0.66 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', dpsetconstrSub)). 0.54/0.66 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X25:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setOfPairsIsBReln)). 0.54/0.66 thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', breln)). 0.54/0.66 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(X26 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', dpsetconstrERa)). 0.54/0.66 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', dpsetconstrEL1)). 0.54/0.66 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', dpsetconstrEL2)). 0.54/0.66 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', dsetconstrI)). 0.54/0.66 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', dsetconstrEL)). 0.54/0.66 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', dsetconstrER)). 0.54/0.66 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setbeta)). 0.54/0.66 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', nonemptyE1)). 0.54/0.66 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', nonemptyI1)). 0.54/0.66 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setoftrueEq)). 0.54/0.66 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', nonemptyImpWitness)). 0.54/0.66 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', emptyE1)). 0.54/0.66 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', dsetconstr__Cong)). 0.54/0.66 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', sepInPowerset)). 0.54/0.66 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', sepSubset)). 0.54/0.66 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', theprop)). 0.54/0.66 thf(dpsetconstrER, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>(((((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((((emptyI)=>((noeltsimpempty)=>((((((((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>(((powersetE)=>((((((nonemptyImpWitness)=>(((((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>(((emptyE1)=>(((quantDeMorgan1)=>(((((prop2setI)=>((((((exuI3)=>((exuI2)=>(((in__Cong)=>((((emptyset__Cong)=>(((powerset__Cong)=>((setunion__Cong)=>(((((((((subsetI2)=>(((subsetE)=>((subsetE2)=>((notsubsetI)=>(((((subsetTrans)=>(((setadjoinSub2)=>((subset2powerset)=>(((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>(((binunionIL)=>((upairset2IR)=>((binunionIR)=>(((binunionE)=>((binunionLsub)=>((binunionRsub)=>((((binintersectEL)=>((((binintersectSubset3)=>(((((binintersectSubset4)=>((binintersectSubset1)=>(((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>(((symdiffI2)=>(((symdiffIneg2)=>((((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((((upairset2E)=>((((ubforcartprodlem1)=>(((ubforcartprodlem3)=>((cartprodpairin)=>(((((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>(((ex1E1)=>((ex1I)=>((((setukpairinjL1)=>((kfstsingleton)=>(((kfstpairEq)=>((cartprodfstin)=>(((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>(((((((dpsetconstrI)=>((dpsetconstrSub)=>(((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>![X4:$i, X5:$i, X29:$i > $i > $o, X2:$i, X3:$i]:(((X29 @ X2 @ X3)<=(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X29 @ X14 @ X18))))))))))<=(setOfPairsIsBReln))))<=(cartprodpairsurjEq))<=(cartprodsndpairEq))<=(cartprodfstpairEq))<=(cartprodmempaircEq))<=(cartprodpairmemER)))))))))<=(upairequniteq))<=(setukpairinjR1)))))<=(setukpairinjL2))))<=(theprop))))<=(singletonsuniq))<=(ex1I2))))<=(singletonprop)))))<=(setunionE2))<=(cartprodmempair))<=(cartprodmempair1))))<=(ubforcartprodlem2)))<=(upairinpowunion))<=(upairsubunion)))<=(singletoninpowunion))<=(singletoninpowerset))))))<=(setukpairIL))<=(secondinupair)))<=(symdiffIneg1)))<=(symdiffI1)))))))))))))<=(bs114d))))<=(binintersectRsub))<=(disjointsetsI1))<=(binintersectER)))<=(binintersectSubset2))<=(binintersectLsub)))<=(binintersectSubset5))<=(binintersectI)))))<=(binunionEcases)))))<=(sepSubset))))))))<=(setextsub))))<=(setadjoinSub)))<=(subsetRefl))<=(notequalI2))<=(notequalI1)))))<=(emptysetsubset)))<=(eqimpsubset1))<=(eqimpsubset2))<=(subsetI1))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu))<=(omega__Cong))))<=(setadjoin__Cong)))<=(exu__Cong))<=(exuE3u)))<=(inCongP))))<=(exuI1))<=(notdallE))<=(notdexE))<=(prop2set2propI)))<=(quantDeMorgan4))<=(quantDeMorgan3))<=(quantDeMorgan2)))<=(vacuousDall)))<=(upairsetIR)))))<=(eqinunit))<=(notinsingleton))<=(uniqinunit)))<=(exuE2))<=(subPowSU))<=(setunionE))<=(setunionI)))<=(emptyInPowerset))))))))<=(emptyinunitempty))<=(setadjoinIL))<=(nonemptyI1))<=(nonemptyI))<=(nonemptyE1))<=(setbeta))))<=(setext))<=(exuE3e))))))<=(exuE1))<=(dsetconstrER)))))<=(wellorderingAx))<=(foundationAx))<=(replAx)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', dpsetconstrER)). 0.54/0.66 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setextAx)). 0.54/0.66 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', emptysetAx)). 0.54/0.66 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setadjoinAx)). 0.54/0.66 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', powersetAx)). 0.54/0.66 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setunionAx)). 0.54/0.66 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', omega0Ax)). 0.54/0.66 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', omegaSAx)). 0.54/0.66 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', omegaIndAx)). 0.54/0.66 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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', foundationAx)). 0.54/0.66 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', wellorderingAx)). 0.54/0.66 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', prop2setE)). 0.54/0.66 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', emptysetE)). 0.54/0.66 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', emptysetimpfalse)). 0.54/0.66 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', notinemptyset)). 0.54/0.66 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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setext)). 0.54/0.66 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', emptyI)). 0.54/0.66 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', noeltsimpempty)). 0.54/0.66 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setadjoinIL)). 0.54/0.66 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', emptyinunitempty)). 0.54/0.66 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setadjoinIR)). 0.54/0.66 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setadjoinE)). 0.54/0.66 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setadjoinOr)). 0.54/0.66 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', powersetI)). 0.54/0.66 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', emptyinPowerset)). 0.54/0.66 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', emptyInPowerset)). 0.54/0.66 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', powersetE)). 0.54/0.66 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setunionI)). 0.54/0.66 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setunionE)). 0.54/0.66 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', subPowSU)). 0.54/0.66 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', uniqinunit)). 0.54/0.66 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', notinsingleton)). 0.54/0.66 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', eqinunit)). 0.54/0.66 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', singletonsswitch)). 0.54/0.66 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', upairsetE)). 0.54/0.66 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', upairsetIL)). 0.54/0.66 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', upairsetIR)). 0.54/0.66 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', vacuousDall)). 0.54/0.66 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', quantDeMorgan1)). 0.54/0.66 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', quantDeMorgan2)). 0.54/0.66 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', quantDeMorgan3)). 0.54/0.66 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', quantDeMorgan4)). 0.54/0.66 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', prop2setI)). 0.54/0.66 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', prop2set2propI)). 0.54/0.66 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', notdexE)). 0.54/0.66 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', notdallE)). 0.54/0.66 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', inCongP)). 0.54/0.66 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', in__Cong)). 0.54/0.66 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', emptyset__Cong)). 0.54/0.66 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setadjoin__Cong)). 0.54/0.66 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', powerset__Cong)). 0.54/0.66 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setunion__Cong)). 0.54/0.66 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', omega__Cong)). 0.54/0.66 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', subsetI1)). 0.54/0.66 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', eqimpsubset2)). 0.54/0.66 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', eqimpsubset1)). 0.54/0.66 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', subsetI2)). 0.54/0.66 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', emptysetsubset)). 0.54/0.66 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', subsetE)). 0.54/0.66 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', subsetE2)). 0.54/0.66 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', notsubsetI)). 0.54/0.66 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', notequalI1)). 0.54/0.66 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', notequalI2)). 0.54/0.66 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', subsetRefl)). 0.54/0.66 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', subsetTrans)). 0.54/0.66 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setadjoinSub)). 0.54/0.66 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setadjoinSub2)). 0.54/0.66 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', subset2powerset)). 0.54/0.66 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setextsub)). 0.54/0.66 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', subsetemptysetimpeq)). 0.54/0.66 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', powersetI1)). 0.54/0.66 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', powersetE1)). 0.54/0.66 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', inPowerset)). 0.54/0.66 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', powersetsubset)). 0.54/0.66 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binunionIL)). 0.54/0.66 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', upairset2IR)). 0.54/0.66 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binunionIR)). 0.54/0.66 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binunionEcases)). 0.54/0.66 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binunionE)). 0.54/0.66 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binunionLsub)). 0.54/0.66 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binunionRsub)). 0.54/0.66 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binintersectI)). 0.54/0.66 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binintersectSubset5)). 0.54/0.66 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binintersectEL)). 0.54/0.66 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binintersectLsub)). 0.54/0.66 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binintersectSubset2)). 0.54/0.66 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binintersectSubset3)). 0.54/0.66 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binintersectER)). 0.54/0.66 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', disjointsetsI1)). 0.54/0.66 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binintersectRsub)). 0.54/0.66 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binintersectSubset4)). 0.54/0.66 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', binintersectSubset1)). 0.54/0.66 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', bs114d)). 0.54/0.66 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setminusI)). 0.54/0.66 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setminusEL)). 0.54/0.66 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setminusER)). 0.54/0.66 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setminusSubset2)). 0.54/0.66 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setminusERneg)). 0.54/0.66 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setminusELneg)). 0.54/0.66 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setminusILneg)). 0.54/0.66 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setminusIRneg)). 0.54/0.66 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setminusLsub)). 0.54/0.66 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setminusSubset1)). 0.54/0.66 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', symdiffE)). 0.54/0.66 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', symdiffI1)). 0.54/0.66 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', symdiffI2)). 0.54/0.66 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', symdiffIneg1)). 0.54/0.66 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', symdiffIneg2)). 0.54/0.66 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', secondinupair)). 0.54/0.66 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setukpairIL)). 0.54/0.66 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setukpairIR)). 0.54/0.66 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', kpairiskpair)). 0.54/0.66 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', kpairp)). 0.54/0.66 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', singletonsubset)). 0.54/0.66 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', singletoninpowerset)). 0.54/0.66 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', singletoninpowunion)). 0.54/0.66 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', upairset2E)). 0.54/0.66 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', upairsubunion)). 0.54/0.66 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', upairinpowunion)). 0.54/0.66 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', ubforcartprodlem1)). 0.54/0.66 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', ubforcartprodlem2)). 0.54/0.66 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', ubforcartprodlem3)). 0.54/0.66 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', cartprodpairin)). 0.54/0.66 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', cartprodmempair1)). 0.54/0.66 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', cartprodmempair)). 0.54/0.66 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setunionE2)). 0.54/0.66 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setunionsingleton1)). 0.54/0.66 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setunionsingleton2)). 0.54/0.66 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setunionsingleton)). 0.54/0.66 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', singletonsuniq)). 0.54/0.66 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setukpairinjL1)). 0.54/0.66 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', kfstpairEq)). 0.54/0.66 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', cartprodfstin)). 0.54/0.66 thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setukpairinjL2)). 0.54/0.66 thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setukpairinjL)). 0.54/0.66 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setukpairinjR11)). 0.54/0.66 thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setukpairinjR12)). 0.54/0.66 thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setukpairinjR1)). 0.54/0.66 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', upairequniteq)). 0.54/0.66 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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setukpairinjR2)). 0.54/0.66 thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', setukpairinjR)). 0.54/0.66 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', ksndpairEq)). 0.54/0.66 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', kpairsurjEq)). 0.54/0.66 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', cartprodsndin)). 0.54/0.66 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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', cartprodpairmemEL)). 0.54/0.66 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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', cartprodpairmemER)). 0.54/0.66 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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', cartprodmempaircEq)). 0.54/0.66 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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', cartprodfstpairEq)). 0.54/0.66 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/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', cartprodsndpairEq)). 0.54/0.66 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.Sfb7FF3Nig/Vampire---4.8_6311', cartprodpairsurjEq)). 0.54/0.66 thf(c_0_194, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X588:$i]:(((in @ X588 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X588 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[ex1])). 0.54/0.66 thf(c_0_195, plain, ((singleton)=(^[Z0/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ Z0)&((Z0)=(setadjoin @ X2 @ emptyset))))))), inference(fof_simplification,[status(thm)],[singleton])). 0.54/0.66 thf(c_0_196, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.54/0.66 thf(c_0_197, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.54/0.66 thf(c_0_198, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.54/0.66 thf(c_0_199, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.54/0.66 thf(c_0_200, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.54/0.66 thf(c_0_201, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.54/0.66 thf(c_0_202, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.54/0.66 thf(c_0_203, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.54/0.66 thf(c_0_204, 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])). 0.54/0.66 thf(c_0_205, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.54/0.66 thf(c_0_206, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 0.54/0.66 thf(c_0_207, 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])). 0.54/0.66 thf(c_0_208, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 0.54/0.66 thf(c_0_209, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 0.54/0.66 thf(c_0_210, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 0.54/0.66 thf(c_0_211, plain, ((singletonprop)<=>![X4:$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 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])). 0.54/0.66 thf(c_0_212, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])). 0.54/0.66 thf(c_0_213, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X588:$i]:(((in @ X588 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X588 @ emptyset)))))))), inference(apply_def,[status(thm)],[c_0_194, c_0_195])). 0.54/0.66 thf(c_0_214, 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])). 0.54/0.66 thf(c_0_215, 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 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])). 0.54/0.66 thf(c_0_216, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])). 0.54/0.66 thf(c_0_217, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])). 0.54/0.66 thf(c_0_218, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X23:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X23 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])). 0.54/0.66 thf(c_0_219, plain, ((dpsetconstr)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i > $i > $o]:(dsetconstr @ (cartprod @ Z0 @ Z1) @ (^[Z3/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ Z0)&?[X3:$i]:((((in @ X3 @ Z1)&(Z2 @ X2 @ X3))&((Z3)=(kpair @ X2 @ X3))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstr])). 0.54/0.66 thf(c_0_220, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])). 0.54/0.66 thf(c_0_221, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X25:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X25 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])). 0.54/0.66 thf(c_0_222, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])). 0.54/0.66 thf(c_0_223, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(X26 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])). 0.54/0.66 thf(c_0_224, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])). 0.54/0.66 thf(c_0_225, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])). 0.54/0.66 thf(c_0_226, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X559:$i]:((((X6 @ X2 @ X559))&![X560:$i]:((((X6 @ X2 @ X560))=>((X559)=(X560)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_196, c_0_197])). 0.54/0.66 thf(c_0_227, plain, ((descrp)=(![X1:$i > $o]:(((?[X561:$i]:((((X1 @ X561))&![X562:$i]:((((X1 @ X562))=>((X561)=(X562)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_198, c_0_197])). 0.54/0.66 thf(c_0_228, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.54/0.66 thf(c_0_229, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.54/0.66 thf(c_0_230, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.54/0.66 thf(c_0_231, plain, ((exuE1)=(![X1:$i > $o]:(((?[X563:$i]:((((X1 @ X563))&![X564:$i]:((((X1 @ X564))=>((X563)=(X564)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_199, c_0_197])). 0.54/0.66 thf(c_0_232, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X565:$i]:((((X1 @ X565))&![X566:$i]:((((X1 @ X566))=>((X565)=(X566)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_200, c_0_197])). 0.54/0.66 thf(c_0_233, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.54/0.66 thf(c_0_234, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_201])). 0.54/0.66 thf(c_0_235, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_202, c_0_201])). 0.54/0.66 thf(c_0_236, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_201])). 0.54/0.66 thf(c_0_237, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.54/0.66 thf(c_0_238, plain, ((exuE2)=(![X1:$i > $o]:(((?[X567:$i]:((((X1 @ X567))&![X568:$i]:((((X1 @ X568))=>((X567)=(X568)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_203, c_0_197])). 0.54/0.66 thf(c_0_239, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_201])). 0.54/0.66 thf(c_0_240, 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])). 0.54/0.66 thf(c_0_241, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X569:$i]:((((X1 @ X569))&![X570:$i]:((((X1 @ X570))=>((X569)=(X570))))))))))), inference(apply_def,[status(thm)],[c_0_204, c_0_197])). 0.54/0.66 thf(c_0_242, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X571:$i]:((((X1 @ X571))&![X572:$i]:((((X1 @ X572))=>((X571)=(X572)))))))))))), inference(apply_def,[status(thm)],[c_0_205, c_0_197])). 0.54/0.66 thf(c_0_243, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X573:$i]:((((X1 @ X573))&![X574:$i]:((((X1 @ X574))=>((X573)=(X574))))))))))), inference(apply_def,[status(thm)],[c_0_206, c_0_197])). 0.54/0.66 thf(c_0_244, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X575:$i]:((((X1 @ X575))&![X576:$i]:((((X1 @ X576))=>((X575)=(X576)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_207, c_0_197])). 0.54/0.66 thf(c_0_245, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X577:$i]:((((X1 @ X577))&![X578:$i]:((((X1 @ X578))=>((X577)=(X578)))))))<=>(?[X579:$i]:((((X17 @ X579))&![X580:$i]:((((X17 @ X580))=>((X579)=(X580)))))))))))), inference(apply_def,[status(thm)],[c_0_208, c_0_197])). 0.54/0.66 thf(c_0_246, plain, ((exuEu)=(![X1:$i > $o]:(((?[X581:$i]:((((X1 @ X581))&![X582:$i]:((((X1 @ X582))=>((X581)=(X582)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_209, c_0_197])). 0.54/0.66 thf(c_0_247, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X583:$i]:((((X1 @ X583))&![X584:$i]:((((X1 @ X584))=>((X583)=(X584)))))))=>((?[X585:$i]:((((X17 @ X585))&![X586:$i]:((((X17 @ X586))=>((X585)=(X586)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_210, c_0_197])). 0.54/0.66 thf(c_0_248, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 0.54/0.66 thf(c_0_249, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])). 0.54/0.66 thf(c_0_250, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])). 0.54/0.66 thf(c_0_251, 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)))=>(?[X587:$i]:(((in @ X587 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(setadjoin @ X587 @ emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_211, c_0_195])). 0.54/0.66 thf(c_0_252, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:(((?[X589:$i]:(((in @ X589 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X589 @ emptyset)))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_212, c_0_213])). 0.54/0.66 thf(c_0_253, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(?[X590:$i]:(((in @ X590 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X590 @ emptyset))))))))))), inference(apply_def,[status(thm)],[c_0_214, c_0_213])). 0.54/0.66 thf(c_0_254, 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)))=>(?[X591:$i]:(((in @ X591 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X591 @ emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_215, c_0_213])). 0.54/0.66 thf(c_0_255, plain, ((kfstsingleton)=(![X18:$i]:(((iskpair @ X18)=>(?[X592:$i]:(((in @ X592 @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))&((dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))=(setadjoin @ X592 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_216, c_0_195])). 0.54/0.66 thf(c_0_256, axiom, ((theprop)=(![X21:$i]:(((?[X593:$i]:(((in @ X593 @ X21)&((X21)=(setadjoin @ X593 @ emptyset)))))=>(in @ (setunion @ X21) @ X21))))), inference(apply_def,[status(thm)],[theprop, c_0_195])). 0.54/0.66 thf(c_0_257, plain, ((ksndsingleton)=(![X18:$i]:(((iskpair @ X18)=>(?[X594:$i]:(((in @ X594 @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))&((dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0)))))=(setadjoin @ X594 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_217, c_0_195])). 0.54/0.66 thf(c_0_258, plain, ((dpsetconstrI)=(![X4:$i, X5:$i, X23:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X23 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dsetconstr @ (cartprod @ X4 @ X5) @ (^[Z0/* 5 */:$i]:(?[X595:$i]:(((in @ X595 @ X4)&?[X596:$i]:((((in @ X596 @ X5)&((X23 @ X595 @ X596)))&((Z0)=(kpair @ X595 @ X596))))))))))))))))), inference(apply_def,[status(thm)],[c_0_218, c_0_219])). 0.54/0.66 thf(c_0_259, plain, ((dpsetconstrSub)=(![X4:$i, X5:$i, X24:$i > $i > $o]:((subset @ (dsetconstr @ (cartprod @ X4 @ X5) @ (^[Z0/* 5 */:$i]:(?[X597:$i]:(((in @ X597 @ X4)&?[X598:$i]:((((in @ X598 @ X5)&((X24 @ X597 @ X598)))&((Z0)=(kpair @ X597 @ X598))))))))) @ (cartprod @ X4 @ X5))))), inference(apply_def,[status(thm)],[c_0_220, c_0_219])). 0.54/0.66 thf(c_0_260, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X25:$i > $i > $o]:(((subset @ (dsetconstr @ (cartprod @ X4 @ X5) @ (^[Z0/* 5 */:$i]:(?[X599:$i]:(((in @ X599 @ X4)&?[X600:$i]:((((in @ X600 @ X5)&((X25 @ X599 @ X600)))&((Z0)=(kpair @ X599 @ X600))))))))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_221, c_0_222]), c_0_219])). 0.54/0.66 thf(c_0_261, plain, ((dpsetconstrERa)=(![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dsetconstr @ (cartprod @ X4 @ X5) @ (^[Z0/* 5 */:$i]:(?[X601:$i]:(((in @ X601 @ X4)&?[X602:$i]:((((in @ X602 @ X5)&((X26 @ X601 @ X602)))&((Z0)=(kpair @ X601 @ X602))))))))))=>(X26 @ X2 @ X3)))))))), inference(apply_def,[status(thm)],[c_0_223, c_0_219])). 0.54/0.66 thf(c_0_262, plain, ((dpsetconstrEL1)=(![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dsetconstr @ (cartprod @ X4 @ X5) @ (^[Z0/* 5 */:$i]:(?[X603:$i]:(((in @ X603 @ X4)&?[X604:$i]:((((in @ X604 @ X5)&((X27 @ X603 @ X604)))&((Z0)=(kpair @ X603 @ X604))))))))))=>(in @ X2 @ X4))))), inference(apply_def,[status(thm)],[c_0_224, c_0_219])). 0.54/0.66 thf(c_0_263, plain, ((dpsetconstrEL2)=(![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dsetconstr @ (cartprod @ X4 @ X5) @ (^[Z0/* 5 */:$i]:(?[X605:$i]:(((in @ X605 @ X4)&?[X606:$i]:((((in @ X606 @ X5)&((X28 @ X605 @ X606)))&((Z0)=(kpair @ X605 @ X606))))))))))=>(in @ X3 @ X5))))), inference(apply_def,[status(thm)],[c_0_225, c_0_219])). 0.54/0.66 thf(c_0_264, plain, ((epred1_0)<=>![X1149:$i]:(?[X1150:$i]:((((![X1151:$i]:(((in @ X1151 @ X1150)=>![X1152:$i]:(((in @ X1152 @ X1151)=>(in @ X1152 @ X1149)))))&![X1153:$i, X1154:$i]:((((in @ X1153 @ X1149)&(in @ X1154 @ X1149))=>(![X1155:$i]:(((in @ X1155 @ X1150)=>((in @ X1153 @ X1155)<=>(in @ X1154 @ X1155))))=>((X1153)=(X1154))))))&![X1156:$i, X1157:$i]:((((in @ X1156 @ X1150)&(in @ X1157 @ X1150))=>(![X1158:$i]:(((in @ X1158 @ X1156)=>(in @ X1158 @ X1157)))|![X1159:$i]:(((in @ X1159 @ X1157)=>(in @ X1159 @ X1156)))))))&![X1160:$i]:(((![X1161:$i]:(((in @ X1161 @ X1160)=>(in @ X1161 @ X1149)))&?[X1162:$i]:((in @ X1162 @ X1160)))=>?[X1163:$i, X1164:$i]:(((((in @ X1163 @ X1150)&(in @ X1164 @ X1160))&~(?[X1165:$i]:(((in @ X1165 @ X1163)&(in @ X1165 @ X1160)))))&![X1166:$i]:(((in @ X1166 @ X1150)=>(![X1167:$i]:(((in @ X1167 @ X1166)=>(in @ X1167 @ X1163)))|(in @ X1164 @ X1166)))))))))))), introduced(definition)). 0.54/0.66 thf(c_0_265, negated_conjecture, ~((![X607:$i, X608:$i]:((![X609:$i]:(((in @ X609 @ X607)<=>(in @ X609 @ X608)))=>((X607)=(X608))))=>(![X610:$i]:(~(in @ X610 @ emptyset))=>(![X611:$i, X612:$i, X613:$i]:(((in @ X613 @ (setadjoin @ X611 @ X612))<=>(((X613)=(X611))|(in @ X613 @ X612))))=>(![X614:$i, X615:$i]:(((in @ X615 @ (powerset @ X614))<=>![X616:$i]:(((in @ X616 @ X615)=>(in @ X616 @ X614)))))=>(![X617:$i, X618:$i]:(((in @ X618 @ (setunion @ X617))<=>?[X619:$i]:(((in @ X618 @ X619)&(in @ X619 @ X617)))))=>((in @ emptyset @ omega)=>(![X620:$i]:(((in @ X620 @ omega)=>(in @ (setadjoin @ X620 @ X620) @ omega)))=>(![X621:$i]:((((in @ emptyset @ X621)&![X622:$i]:((((in @ X622 @ omega)&(in @ X622 @ X621))=>(in @ (setadjoin @ X622 @ X622) @ X621))))=>![X623:$i]:(((in @ X623 @ omega)=>(in @ X623 @ X621)))))=>(![X1172:$i > $i > $o, X1173:$i]:((![X1174:$i]:(((in @ X1174 @ X1173)=>?[X1175:$i]:(((X1172 @ X1174 @ X1175)&![X1176:$i]:(((X1172 @ X1174 @ X1176)=>((X1175)=(X1176))))))))=>?[X1177:$i]:(![X1178:$i]:(((in @ X1178 @ X1177)<=>?[X1179:$i]:(((in @ X1179 @ X1173)&(X1172 @ X1179 @ X1178))))))))=>(![X1168:$i]:((?[X1169:$i]:((in @ X1169 @ X1168))=>?[X1170:$i]:(((in @ X1170 @ X1168)&~(?[X1171:$i]:(((in @ X1171 @ X1170)&(in @ X1171 @ X1168))))))))=>((epred1_0)=>(![X624:$i > $o]:((?[X625:$i]:(((X624 @ X625)&![X626:$i]:(((X624 @ X626)=>((X625)=(X626))))))=>(X624 @ (descr @ (^[Z0/* 3 */:$i]:((X624 @ Z0)))))))=>(![X627:$i, X628:$i > $o, X629:$i]:(((in @ X629 @ X627)=>((X628 @ X629)=>(in @ X629 @ (dsetconstr @ X627 @ (^[Z0/* 3 */:$i]:((X628 @ Z0))))))))=>(![X630:$i, X631:$i > $o, X632:$i]:(((in @ X632 @ (dsetconstr @ X630 @ (^[Z0/* 3 */:$i]:((X631 @ Z0)))))=>(in @ X632 @ X630)))=>(![X1146:$i, X1147:$i > $o, X1148:$i]:(((in @ X1148 @ (dsetconstr @ X1146 @ (^[Z0/* 3 */:$i]:((X1147 @ Z0)))))=>(X1147 @ X1148)))=>(![X1141:$i > $o]:((?[X1142:$i]:(((X1141 @ X1142)&![X1143:$i]:(((X1141 @ X1143)=>((X1142)=(X1143))))))=>?[X1144:$i]:(((X1141 @ X1144)&![X1145:$i]:(((X1141 @ X1145)=>((X1144)=(X1145))))))))=>(![X633:$o, X634:$i]:(((in @ X634 @ (prop2set @ ((X633))))=>(X633)))=>(![X635:$i]:(((in @ X635 @ emptyset)=>![X636:$o]:((X636))))=>(![X637:$i]:(~(in @ X637 @ emptyset))=>(![X638:$i]:(~(in @ X638 @ emptyset))=>(![X1137:$i > $o]:((?[X1138:$i]:(((X1137 @ X1138)&![X1139:$i]:(((X1137 @ X1139)=>((X1138)=(X1139))))))=>?[X1140:$i]:((X1137 @ X1140))))=>(![X1133:$i, X1134:$i]:((![X1135:$i]:(((in @ X1135 @ X1133)=>(in @ X1135 @ X1134)))=>(![X1136:$i]:(((in @ X1136 @ X1134)=>(in @ X1136 @ X1133)))=>((X1133)=(X1134)))))=>(![X639:$i]:((![X640:$i]:(~(in @ X640 @ X639))=>((X639)=(emptyset))))=>(![X641:$i]:((![X642:$i]:(~(in @ X642 @ X641))=>((X641)=(emptyset))))=>(![X1130:$i, X1131:$i > $o, X1132:$i]:(((in @ X1132 @ X1130)=>((in @ X1132 @ (dsetconstr @ X1130 @ (^[Z0/* 3 */:$i]:((X1131 @ Z0)))))<=>(X1131 @ X1132))))=>(![X1128:$i]:((((X1128)!=(emptyset))=>?[X1129:$i]:((in @ X1129 @ X1128))))=>(![X1125:$i, X1126:$i > $o, X1127:$i]:(((in @ X1127 @ X1125)=>((X1126 @ X1127)=>((dsetconstr @ X1125 @ (^[Z0/* 3 */:$i]:((X1126 @ Z0))))!=(emptyset)))))=>(![X1123:$i]:((?[X1124:$i]:((in @ X1124 @ X1123))=>((X1123)!=(emptyset))))=>(![X1121:$i, X1122:$i]:((in @ X1121 @ (setadjoin @ X1121 @ X1122)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X643:$i, X644:$i, X645:$i]:(((in @ X645 @ X644)=>(in @ X645 @ (setadjoin @ X643 @ X644))))=>(![X646:$i, X647:$i, X648:$i]:(((in @ X648 @ (setadjoin @ X646 @ X647))=>![X649:$o]:(((((X648)=(X646))=>(X649))=>(((in @ X648 @ X647)=>(X649))=>(X649))))))=>(![X650:$i, X651:$i, X652:$i]:(((in @ X652 @ (setadjoin @ X650 @ X651))=>(((X652)=(X650))|(in @ X652 @ X651))))=>(![X653:$i]:(((dsetconstr @ X653 @ (^[Z0/* 3 */:$i]:(($true))))=(X653)))=>(![X654:$i, X655:$i]:((![X656:$i]:(((in @ X656 @ X655)=>(in @ X656 @ X654)))=>(in @ X655 @ (powerset @ X654))))=>(![X657:$i]:((in @ emptyset @ (powerset @ X657)))=>(![X1120:$i]:((in @ emptyset @ (powerset @ X1120)))=>(![X658:$i, X659:$i, X660:$i]:(((in @ X659 @ (powerset @ X658))=>((in @ X660 @ X659)=>(in @ X660 @ X658))))=>(![X1117:$i, X1118:$i, X1119:$i]:(((in @ X1118 @ X1119)=>((in @ X1119 @ X1117)=>(in @ X1118 @ (setunion @ X1117)))))=>(![X1113:$i, X1114:$i]:(((in @ X1114 @ (setunion @ X1113))=>![X1115:$o]:((![X1116:$i]:(((in @ X1114 @ X1116)=>((in @ X1116 @ X1113)=>(X1115))))=>(X1115)))))=>(![X1111:$i, X1112:$i]:(((in @ X1112 @ X1111)=>(in @ X1112 @ (powerset @ (setunion @ X1111)))))=>(![X1106:$i > $o]:((?[X1107:$i]:(((X1106 @ X1107)&![X1108:$i]:(((X1106 @ X1108)=>((X1107)=(X1108))))))=>?[X1109:$i]:(![X1110:$i]:(((X1106 @ X1110)<=>((X1110)=(X1109)))))))=>(![X661:$i]:((((X661)!=(emptyset))=>?[X662:$i]:((in @ X662 @ X661))))=>(![X1104:$i, X1105:$i]:(((in @ X1104 @ (setadjoin @ X1105 @ emptyset))=>((X1104)=(X1105))))=>(![X1102:$i, X1103:$i]:((((X1102)!=(X1103))=>~(in @ X1103 @ (setadjoin @ X1102 @ emptyset))))=>(![X1100:$i, X1101:$i]:((((X1100)=(X1101))=>(in @ X1100 @ (setadjoin @ X1101 @ emptyset))))=>(![X663:$i, X664:$i]:(((in @ X663 @ (setadjoin @ X664 @ emptyset))=>(in @ X664 @ (setadjoin @ X663 @ emptyset))))=>(![X665:$i, X666:$i, X667:$i]:(((in @ X667 @ (setadjoin @ X665 @ (setadjoin @ X666 @ emptyset)))=>(((X667)=(X665))|((X667)=(X666)))))=>(![X668:$i, X669:$i]:((in @ X668 @ (setadjoin @ X668 @ (setadjoin @ X669 @ emptyset))))=>(![X1098:$i, X1099:$i]:((in @ X1099 @ (setadjoin @ X1098 @ (setadjoin @ X1099 @ emptyset))))=>(![X670:$i, X671:$i > $o]:((?[X672:$i]:(((in @ X672 @ X670)&(X671 @ X672)))=>((dsetconstr @ X670 @ (^[Z0/* 3 */:$i]:((X671 @ Z0))))!=(emptyset))))=>(![X1096:$i > $o, X1097:$i]:(((in @ X1097 @ emptyset)=>(X1096 @ X1097)))=>(![X673:$i, X674:$i > $o]:((~(![X675:$i]:(((in @ X675 @ X673)=>(X674 @ X675))))=>?[X676:$i]:(((in @ X676 @ X673)&~(X674 @ X676)))))=>(![X1092:$i, X1093:$i > $o]:((![X1094:$i]:(((in @ X1094 @ X1092)=>~(X1093 @ X1094)))=>~(?[X1095:$i]:(((in @ X1095 @ X1092)&(X1093 @ X1095))))))=>(![X1088:$i, X1089:$i > $o]:((~(?[X1090:$i]:(((in @ X1090 @ X1088)&(X1089 @ X1090))))=>![X1091:$i]:(((in @ X1091 @ X1088)=>~(X1089 @ X1091)))))=>(![X1084:$i, X1085:$i > $o]:((?[X1086:$i]:(((in @ X1086 @ X1084)&~(X1085 @ X1086)))=>~(![X1087:$i]:(((in @ X1087 @ X1084)=>(X1085 @ X1087))))))=>(![X677:$o]:(((X677)=>(in @ emptyset @ (prop2set @ ((X677))))))=>(![X1083:$o]:(((X1083)=>(set2prop @ (prop2set @ ((X1083))))))=>(![X1079:$i, X1080:$i > $o]:((~(?[X1081:$i]:(((in @ X1081 @ X1079)&(X1080 @ X1081))))=>![X1082:$i]:(((in @ X1082 @ X1079)=>~(X1080 @ X1082)))))=>(![X1075:$i, X1076:$i > $o]:((~(![X1077:$i]:(((in @ X1077 @ X1075)=>(X1076 @ X1077))))=>?[X1078:$i]:(((in @ X1078 @ X1075)&~(X1076 @ X1078)))))=>(![X1070:$i > $o]:((?[X1071:$i]:(((X1070 @ X1071)&![X1072:$i]:(((X1070 @ X1072)=>((X1071)=(X1072))))))=>?[X1073:$i]:(((X1070 @ X1073)&![X1074:$i]:(((X1070 @ X1074)=>((X1073)=(X1074))))))))=>(![X678:$i > $o]:((?[X679:$i]:((X678 @ X679))=>(![X680:$i, X681:$i]:(((X678 @ X680)=>((X678 @ X681)=>((X680)=(X681)))))=>?[X682:$i]:(((X678 @ X682)&![X683:$i]:(((X678 @ X683)=>((X682)=(X683)))))))))=>(![X684:$i > $o]:((?[X685:$i]:(![X686:$i]:(((X684 @ X686)<=>((X686)=(X685)))))=>?[X687:$i]:(((X684 @ X687)&![X688:$i]:(((X684 @ X688)=>((X687)=(X688))))))))=>(![X1066:$i, X1067:$i]:((((X1066)=(X1067))=>![X1068:$i, X1069:$i]:((((X1068)=(X1069))=>((in @ X1068 @ X1066)=>(in @ X1069 @ X1067))))))=>(![X689:$i, X690:$i]:((((X689)=(X690))=>![X691:$i, X692:$i]:((((X691)=(X692))=>((in @ X691 @ X689)<=>(in @ X692 @ X690))))))=>(![X1061:$i > $o]:((?[X1062:$i]:(((X1061 @ X1062)&![X1063:$i]:(((X1061 @ X1063)=>((X1062)=(X1063))))))=>![X1064:$i, X1065:$i]:(((X1061 @ X1064)=>((X1061 @ X1065)=>((X1064)=(X1065)))))))=>(![X1053:$i > $o, X1054:$i > $o]:((![X1055:$i, X1056:$i]:((((X1055)=(X1056))=>((X1053 @ X1055)<=>(X1054 @ X1056))))=>(?[X1057:$i]:(((X1053 @ X1057)&![X1058:$i]:(((X1053 @ X1058)=>((X1057)=(X1058))))))<=>?[X1059:$i]:(((X1054 @ X1059)&![X1060:$i]:(((X1054 @ X1060)=>((X1059)=(X1060)))))))))=>(((emptyset)=(emptyset))=>(![X1049:$i, X1050:$i]:((((X1049)=(X1050))=>![X1051:$i, X1052:$i]:((((X1051)=(X1052))=>((setadjoin @ X1049 @ X1051)=(setadjoin @ X1050 @ X1052))))))=>(![X693:$i, X694:$i]:((((X693)=(X694))=>((powerset @ X693)=(powerset @ X694))))=>(![X695:$i, X696:$i]:((((X695)=(X696))=>((setunion @ X695)=(setunion @ X696))))=>(((omega)=(omega))=>(![X1044:$i > $o]:((?[X1045:$i]:(((X1044 @ X1045)&![X1046:$i]:(((X1044 @ X1046)=>((X1045)=(X1046))))))=>![X1047:$i, X1048:$i]:(((X1044 @ X1047)=>((X1044 @ X1048)=>((X1047)=(X1048)))))))=>(![X1036:$i > $o, X1037:$i > $o]:((![X1038:$i, X1039:$i]:((((X1038)=(X1039))=>((X1036 @ X1038)<=>(X1037 @ X1039))))=>(?[X1040:$i]:(((X1036 @ X1040)&![X1041:$i]:(((X1036 @ X1041)=>((X1040)=(X1041))))))=>(?[X1042:$i]:(((X1037 @ X1042)&![X1043:$i]:(((X1037 @ X1043)=>((X1042)=(X1043))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1036 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1037 @ Z0)))))))))=>(![X1030:$i, X1031:$i]:((((X1030)=(X1031))=>![X1032:$i > $o, X1033:$i > $o]:((![X1034:$i]:(((in @ X1034 @ X1030)=>![X1035:$i]:(((in @ X1035 @ X1031)=>(((X1034)=(X1035))=>((X1032 @ X1034)<=>(X1033 @ X1035)))))))=>((dsetconstr @ X1030 @ (^[Z0/* 3 */:$i]:((X1032 @ Z0))))=(dsetconstr @ X1031 @ (^[Z0/* 3 */:$i]:((X1033 @ Z0)))))))))=>(![X1027:$i, X1028:$i]:((![X1029:$i]:(((in @ X1029 @ X1027)=>(in @ X1029 @ X1028)))=>(subset @ X1027 @ X1028)))=>(![X1025:$i, X1026:$i]:((((X1025)=(X1026))=>(subset @ X1026 @ X1025)))=>(![X1023:$i, X1024:$i]:((((X1023)=(X1024))=>(subset @ X1023 @ X1024)))=>(![X697:$i, X698:$i]:((![X699:$i]:(((in @ X699 @ X697)=>(in @ X699 @ X698)))=>(subset @ X697 @ X698)))=>(![X1022:$i]:((subset @ emptyset @ X1022))=>(![X700:$i, X701:$i, X702:$i]:(((subset @ X700 @ X701)=>((in @ X702 @ X700)=>(in @ X702 @ X701))))=>(![X703:$i, X704:$i, X705:$i]:(((subset @ X703 @ X704)=>(~(in @ X705 @ X704)=>~(in @ X705 @ X703))))=>(![X706:$i, X707:$i, X708:$i]:(((in @ X708 @ X706)=>(~(in @ X708 @ X707)=>~(subset @ X706 @ X707))))=>(![X1020:$i, X1021:$i]:((~(subset @ X1020 @ X1021)=>((X1020)!=(X1021))))=>(![X1017:$i, X1018:$i, X1019:$i]:(((in @ X1019 @ X1017)=>(~(in @ X1019 @ X1018)=>((X1017)!=(X1018)))))=>(![X1016:$i]:((subset @ X1016 @ X1016))=>(![X709:$i, X710:$i, X711:$i]:(((subset @ X709 @ X710)=>((subset @ X710 @ X711)=>(subset @ X709 @ X711))))=>(![X1014:$i, X1015:$i]:((subset @ X1015 @ (setadjoin @ X1014 @ X1015)))=>(![X712:$i, X713:$i, X714:$i]:(((subset @ X712 @ X714)=>(subset @ X712 @ (setadjoin @ X713 @ X714))))=>(![X715:$i, X716:$i]:(((subset @ X715 @ X716)=>(in @ X715 @ (powerset @ X716))))=>(![X1012:$i, X1013:$i]:(((subset @ X1012 @ X1013)=>((subset @ X1013 @ X1012)=>((X1012)=(X1013)))))=>(![X717:$i]:(((subset @ X717 @ emptyset)=>((X717)=(emptyset))))=>(![X718:$i, X719:$i]:(((subset @ X719 @ X718)=>(in @ X719 @ (powerset @ X718))))=>(![X720:$i, X721:$i]:(((in @ X721 @ (powerset @ X720))=>(subset @ X721 @ X720)))=>(![X722:$i]:((in @ X722 @ (powerset @ X722)))=>(![X723:$i, X724:$i]:(((subset @ X723 @ X724)=>(subset @ (powerset @ X723) @ (powerset @ X724))))=>(![X725:$i, X726:$i > $o]:((in @ (dsetconstr @ X725 @ (^[Z0/* 3 */:$i]:((X726 @ Z0)))) @ (powerset @ X725)))=>(![X1010:$i, X1011:$i > $o]:((subset @ (dsetconstr @ X1010 @ (^[Z0/* 3 */:$i]:((X1011 @ Z0)))) @ X1010))=>(![X727:$i, X728:$i, X729:$i]:(((in @ X729 @ X727)=>(in @ X729 @ (binunion @ X727 @ X728))))=>(![X730:$i, X731:$i]:((in @ X731 @ (setadjoin @ X730 @ (setadjoin @ X731 @ emptyset))))=>(![X732:$i, X733:$i, X734:$i]:(((in @ X734 @ X733)=>(in @ X734 @ (binunion @ X732 @ X733))))=>(![X1006:$i, X1007:$i, X1008:$i, X1009:$o]:(((in @ X1008 @ (binunion @ X1006 @ X1007))=>(((in @ X1008 @ X1006)=>(X1009))=>(((in @ X1008 @ X1007)=>(X1009))=>(X1009)))))=>(![X735:$i, X736:$i, X737:$i]:(((in @ X737 @ (binunion @ X735 @ X736))=>((in @ X737 @ X735)|(in @ X737 @ X736))))=>(![X738:$i, X739:$i]:((subset @ X738 @ (binunion @ X738 @ X739)))=>(![X740:$i, X741:$i]:((subset @ X741 @ (binunion @ X740 @ X741)))=>(![X1003:$i, X1004:$i, X1005:$i]:(((in @ X1005 @ X1003)=>((in @ X1005 @ X1004)=>(in @ X1005 @ (binintersect @ X1003 @ X1004)))))=>(![X1000:$i, X1001:$i, X1002:$i]:(((subset @ X1002 @ X1000)=>((subset @ X1002 @ X1001)=>(subset @ X1002 @ (binintersect @ X1000 @ X1001)))))=>(![X742:$i, X743:$i, X744:$i]:(((in @ X744 @ (binintersect @ X742 @ X743))=>(in @ X744 @ X742)))=>(![X998:$i, X999:$i]:((subset @ (binintersect @ X998 @ X999) @ X998))=>(![X996:$i, X997:$i]:(((subset @ X996 @ X997)=>((binintersect @ X996 @ X997)=(X996))))=>(![X745:$i, X746:$i]:((((binintersect @ X745 @ X746)=(X746))=>(subset @ X746 @ X745)))=>(![X993:$i, X994:$i, X995:$i]:(((in @ X995 @ (binintersect @ X993 @ X994))=>(in @ X995 @ X994)))=>(![X990:$i, X991:$i]:((~(?[X992:$i]:(((in @ X992 @ X990)&(in @ X992 @ X991))))=>((binintersect @ X990 @ X991)=(emptyset))))=>(![X988:$i, X989:$i]:((subset @ (binintersect @ X988 @ X989) @ X989))=>(![X747:$i, X748:$i]:(((subset @ X748 @ X747)=>((binintersect @ X747 @ X748)=(X748))))=>(![X749:$i, X750:$i]:((((binintersect @ X749 @ X750)=(X749))=>(subset @ X749 @ X750)))=>(![X985:$i, X986:$i, X987:$i]:(((binintersect @ X985 @ (binunion @ X986 @ X987))=(binunion @ (binintersect @ X985 @ X986) @ (binintersect @ X985 @ X987))))=>(![X751:$i, X752:$i, X753:$i]:(((in @ X753 @ X751)=>(~(in @ X753 @ X752)=>(in @ X753 @ (setminus @ X751 @ X752)))))=>(![X754:$i, X755:$i, X756:$i]:(((in @ X756 @ (setminus @ X754 @ X755))=>(in @ X756 @ X754)))=>(![X757:$i, X758:$i, X759:$i]:(((in @ X759 @ (setminus @ X757 @ X758))=>~(in @ X759 @ X758)))=>(![X760:$i, X761:$i]:(((subset @ X760 @ X761)=>((setminus @ X760 @ X761)=(emptyset))))=>(![X762:$i, X763:$i, X764:$i]:((~(in @ X764 @ (setminus @ X762 @ X763))=>((in @ X764 @ X762)=>(in @ X764 @ X763))))=>(![X765:$i, X766:$i, X767:$i]:((~(in @ X767 @ (setminus @ X765 @ X766))=>(~(in @ X767 @ X766)=>~(in @ X767 @ X765))))=>(![X768:$i, X769:$i, X770:$i]:((~(in @ X770 @ X768)=>~(in @ X770 @ (setminus @ X768 @ X769))))=>(![X771:$i, X772:$i, X773:$i]:(((in @ X773 @ X772)=>~(in @ X773 @ (setminus @ X771 @ X772))))=>(![X774:$i, X775:$i]:((subset @ (setminus @ X774 @ X775) @ X774))=>(![X776:$i, X777:$i]:((((setminus @ X776 @ X777)=(emptyset))=>(subset @ X776 @ X777)))=>(![X778:$i, X779:$i, X780:$i]:(((in @ X780 @ (symdiff @ X778 @ X779))=>![X781:$o]:((((in @ X780 @ X778)=>(~(in @ X780 @ X779)=>(X781)))=>((~(in @ X780 @ X778)=>((in @ X780 @ X779)=>(X781)))=>(X781))))))=>(![X982:$i, X983:$i, X984:$i]:(((in @ X984 @ X982)=>(~(in @ X984 @ X983)=>(in @ X984 @ (symdiff @ X982 @ X983)))))=>(![X782:$i, X783:$i, X784:$i]:((~(in @ X784 @ X782)=>((in @ X784 @ X783)=>(in @ X784 @ (symdiff @ X782 @ X783)))))=>(![X979:$i, X980:$i, X981:$i]:(((in @ X981 @ X979)=>((in @ X981 @ X980)=>~(in @ X981 @ (symdiff @ X979 @ X980)))))=>(![X785:$i, X786:$i, X787:$i]:((~(in @ X787 @ X785)=>(~(in @ X787 @ X786)=>~(in @ X787 @ (symdiff @ X785 @ X786)))))=>(![X977:$i, X978:$i]:((in @ X978 @ (setadjoin @ X977 @ (setadjoin @ X978 @ emptyset))))=>(![X975:$i, X976:$i]:((in @ X975 @ (setunion @ (setadjoin @ (setadjoin @ X975 @ emptyset) @ (setadjoin @ (setadjoin @ X975 @ (setadjoin @ X976 @ emptyset)) @ emptyset)))))=>(![X788:$i, X789:$i]:((in @ X789 @ (setunion @ (setadjoin @ (setadjoin @ X788 @ emptyset) @ (setadjoin @ (setadjoin @ X788 @ (setadjoin @ X789 @ emptyset)) @ emptyset)))))=>(![X790:$i, X791:$i]:((iskpair @ (setadjoin @ (setadjoin @ X790 @ emptyset) @ (setadjoin @ (setadjoin @ X790 @ (setadjoin @ X791 @ emptyset)) @ emptyset))))=>(![X792:$i, X793:$i]:((iskpair @ (kpair @ X792 @ X793)))=>(![X794:$i, X795:$i]:(((in @ X795 @ X794)=>(subset @ (setadjoin @ X795 @ emptyset) @ X794)))=>(![X973:$i, X974:$i]:(((in @ X974 @ X973)=>(in @ (setadjoin @ X974 @ emptyset) @ (powerset @ X973))))=>(![X970:$i, X971:$i, X972:$i]:(((in @ X972 @ X970)=>(in @ (setadjoin @ X972 @ emptyset) @ (powerset @ (binunion @ X970 @ X971)))))=>(![X796:$i, X797:$i, X798:$i]:(((in @ X798 @ (setadjoin @ X796 @ (setadjoin @ X797 @ emptyset)))=>(((X798)=(X796))|((X798)=(X797)))))=>(![X966:$i, X967:$i, X968:$i]:(((in @ X968 @ X966)=>![X969:$i]:(((in @ X969 @ X967)=>(subset @ (setadjoin @ X968 @ (setadjoin @ X969 @ emptyset)) @ (binunion @ X966 @ X967))))))=>(![X962:$i, X963:$i, X964:$i]:(((in @ X964 @ X962)=>![X965:$i]:(((in @ X965 @ X963)=>(in @ (setadjoin @ X964 @ (setadjoin @ X965 @ emptyset)) @ (powerset @ (binunion @ X962 @ X963)))))))=>(![X799:$i, X800:$i, X801:$i]:(((in @ X801 @ X799)=>![X802:$i]:(((in @ X802 @ X800)=>(subset @ (setadjoin @ (setadjoin @ X801 @ emptyset) @ (setadjoin @ (setadjoin @ X801 @ (setadjoin @ X802 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X799 @ X800)))))))=>(![X958:$i, X959:$i, X960:$i]:(((in @ X960 @ X958)=>![X961:$i]:(((in @ X961 @ X959)=>(in @ (setadjoin @ (setadjoin @ X960 @ emptyset) @ (setadjoin @ (setadjoin @ X960 @ (setadjoin @ X961 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X958 @ X959))))))))=>(![X803:$i, X804:$i, X805:$i]:(((in @ X805 @ X803)=>![X806:$i]:(((in @ X806 @ X804)=>(in @ (kpair @ X805 @ X806) @ (powerset @ (powerset @ (binunion @ X803 @ X804))))))))=>(![X807:$i, X808:$i, X809:$i]:(((in @ X809 @ X807)=>![X810:$i]:(((in @ X810 @ X808)=>(in @ (kpair @ X809 @ X810) @ (cartprod @ X807 @ X808))))))=>(![X953:$i, X954:$i, X955:$i]:(((in @ X955 @ (cartprod @ X953 @ X954))=>?[X956:$i]:(((in @ X956 @ X953)&?[X957:$i]:(((in @ X957 @ X954)&((X955)=(kpair @ X956 @ X957))))))))=>(![X950:$i, X951:$i, X952:$i]:(((in @ X952 @ (cartprod @ X950 @ X951))=>(iskpair @ X952)))=>(![X947:$i, X948:$i]:(((in @ X948 @ (setunion @ X947))=>?[X949:$i]:(((in @ X949 @ X947)&(in @ X948 @ X949)))))=>(![X811:$i]:((subset @ (setunion @ (setadjoin @ X811 @ emptyset)) @ X811))=>(![X812:$i]:((subset @ X812 @ (setunion @ (setadjoin @ X812 @ emptyset))))=>(![X813:$i]:(((setunion @ (setadjoin @ X813 @ emptyset))=(X813)))=>(![X941:$i, X942:$i > $o]:((![X943:$i]:(((in @ X943 @ X941)=>![X944:$i]:(((in @ X944 @ X941)=>((X942 @ X943)=>((X942 @ X944)=>((X943)=(X944))))))))=>(?[X945:$i]:(((in @ X945 @ X941)&(X942 @ X945)))=>?[X946:$i]:(((in @ X946 @ (dsetconstr @ X941 @ (^[Z0/* 3 */:$i]:((X942 @ Z0)))))&((dsetconstr @ X941 @ (^[Z0/* 3 */:$i]:((X942 @ Z0))))=(setadjoin @ X946 @ emptyset)))))))=>(![X814:$i, X815:$i > $o]:((?[X816:$i]:(((in @ X816 @ (dsetconstr @ X814 @ (^[Z0/* 3 */:$i]:((X815 @ Z0)))))&((dsetconstr @ X814 @ (^[Z0/* 3 */:$i]:((X815 @ Z0))))=(setadjoin @ X816 @ emptyset))))=>?[X817:$i]:(((in @ X817 @ X814)&(X815 @ X817)))))=>(![X818:$i, X819:$i > $o, X820:$i]:(((in @ X820 @ X818)=>((X819 @ X820)=>(![X821:$i]:(((in @ X821 @ X818)=>((X819 @ X821)=>((X821)=(X820)))))=>?[X822:$i]:(((in @ X822 @ (dsetconstr @ X818 @ (^[Z0/* 3 */:$i]:((X819 @ Z0)))))&((dsetconstr @ X818 @ (^[Z0/* 3 */:$i]:((X819 @ Z0))))=(setadjoin @ X822 @ emptyset))))))))=>(![X935:$i, X936:$i > $o]:((![X937:$i]:(((in @ X937 @ X935)=>![X938:$i]:(((in @ X938 @ X935)=>((X936 @ X937)=>((X936 @ X938)=>((X937)=(X938))))))))=>(?[X939:$i]:(((in @ X939 @ X935)&(X936 @ X939)))=>?[X940:$i]:(((in @ X940 @ (dsetconstr @ X935 @ (^[Z0/* 3 */:$i]:((X936 @ Z0)))))&((dsetconstr @ X935 @ (^[Z0/* 3 */:$i]:((X936 @ Z0))))=(setadjoin @ X940 @ emptyset)))))))=>(![X933:$i, X934:$i]:((((setadjoin @ X933 @ emptyset)=(setadjoin @ X934 @ emptyset))=>((X933)=(X934))))=>(![X823:$i, X824:$i, X825:$i]:(((in @ (setadjoin @ X825 @ emptyset) @ (setadjoin @ (setadjoin @ X823 @ emptyset) @ (setadjoin @ (setadjoin @ X823 @ (setadjoin @ X824 @ emptyset)) @ emptyset)))=>((X823)=(X825))))=>(![X826:$i]:(((iskpair @ X826)=>?[X827:$i]:(((in @ X827 @ (dsetconstr @ (setunion @ X826) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X826)))))&((dsetconstr @ (setunion @ X826) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X826))))=(setadjoin @ X827 @ emptyset))))))=>(![X931:$i]:((?[X932:$i]:(((in @ X932 @ X931)&((X931)=(setadjoin @ X932 @ emptyset))))=>(in @ (setunion @ X931) @ X931)))=>(![X828:$i, X829:$i]:(((kfst @ (kpair @ X828 @ X829))=(X828)))=>(![X830:$i, X831:$i, X832:$i]:(((in @ X832 @ (cartprod @ X830 @ X831))=>(in @ (kfst @ X832) @ X830)))=>(![X927:$i, X928:$i, X929:$i, X930:$i]:((((setadjoin @ (setadjoin @ X927 @ emptyset) @ (setadjoin @ (setadjoin @ X927 @ (setadjoin @ X928 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X929 @ emptyset) @ (setadjoin @ (setadjoin @ X929 @ (setadjoin @ X930 @ emptyset)) @ emptyset)))=>((X927)=(X929))))=>(![X833:$i, X834:$i, X835:$i, X836:$i]:((((kpair @ X833 @ X834)=(kpair @ X835 @ X836))=>((X833)=(X835))))=>(![X837:$i, X838:$i]:((((X837)=(X838))=>((setadjoin @ X837 @ (setadjoin @ X838 @ emptyset))=(setadjoin @ X837 @ emptyset))))=>(![X839:$i, X840:$i]:((((X839)=(X840))=>((setadjoin @ (setadjoin @ X839 @ emptyset) @ (setadjoin @ (setadjoin @ X839 @ (setadjoin @ X840 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X839 @ emptyset) @ emptyset))))=>(![X923:$i, X924:$i, X925:$i, X926:$i]:((((setadjoin @ (setadjoin @ X923 @ emptyset) @ (setadjoin @ (setadjoin @ X923 @ (setadjoin @ X924 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X925 @ emptyset) @ (setadjoin @ (setadjoin @ X925 @ (setadjoin @ X926 @ emptyset)) @ emptyset)))=>(((X925)=(X926))=>((X924)=(X926)))))=>(![X920:$i, X921:$i, X922:$i]:((((setadjoin @ X920 @ (setadjoin @ X921 @ emptyset))=(setadjoin @ X922 @ emptyset))=>((X920)=(X921))))=>(![X841:$i, X842:$i, X843:$i, X844:$i]:((((setadjoin @ (setadjoin @ X841 @ emptyset) @ (setadjoin @ (setadjoin @ X841 @ (setadjoin @ X842 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X843 @ emptyset) @ (setadjoin @ (setadjoin @ X843 @ (setadjoin @ X844 @ emptyset)) @ emptyset)))=>((X842)=(X844))))=>(![X845:$i, X846:$i, X847:$i, X848:$i]:((((kpair @ X845 @ X846)=(kpair @ X847 @ X848))=>((X846)=(X848))))=>(![X849:$i]:(((iskpair @ X849)=>?[X850:$i]:(((in @ X850 @ (dsetconstr @ (setunion @ X849) @ (^[Z0/* 3 */:$i]:(((X849)=(kpair @ (kfst @ X849) @ Z0))))))&((dsetconstr @ (setunion @ X849) @ (^[Z0/* 3 */:$i]:(((X849)=(kpair @ (kfst @ X849) @ Z0)))))=(setadjoin @ X850 @ emptyset))))))=>(![X851:$i, X852:$i]:(((ksnd @ (kpair @ X851 @ X852))=(X852)))=>(![X853:$i]:(((iskpair @ X853)=>((kpair @ (kfst @ X853) @ (ksnd @ X853))=(X853))))=>(![X854:$i, X855:$i, X856:$i]:(((in @ X856 @ (cartprod @ X854 @ X855))=>(in @ (ksnd @ X856) @ X855)))=>(![X857:$i, X858:$i, X859:$i, X860:$i]:(((in @ (kpair @ X859 @ X860) @ (cartprod @ X857 @ X858))=>(in @ X859 @ X857)))=>(![X916:$i, X917:$i, X918:$i, X919:$i]:(((in @ (kpair @ X918 @ X919) @ (cartprod @ X916 @ X917))=>(in @ X919 @ X917)))=>(![X912:$i, X913:$i, X914:$i]:(((in @ X914 @ X912)=>![X915:$i]:(((in @ X915 @ X913)=>((kpair @ X914 @ X915)=(kpair @ X914 @ X915))))))=>(![X908:$i, X909:$i, X910:$i]:(((in @ X910 @ X908)=>![X911:$i]:(((in @ X911 @ X909)=>((kfst @ (kpair @ X910 @ X911))=(X910))))))=>(![X904:$i, X905:$i, X906:$i]:(((in @ X906 @ X904)=>![X907:$i]:(((in @ X907 @ X905)=>((ksnd @ (kpair @ X906 @ X907))=(X907))))))=>(![X901:$i, X902:$i, X903:$i]:(((in @ X903 @ (cartprod @ X901 @ X902))=>((kpair @ (kfst @ X903) @ (ksnd @ X903))=(X903))))=>(![X861:$i, X862:$i, X863:$i > $i > $o, X864:$i]:(((in @ X864 @ X861)=>![X865:$i]:(((in @ X865 @ X862)=>((X863 @ X864 @ X865)=>(in @ (kpair @ X864 @ X865) @ (dsetconstr @ (cartprod @ X861 @ X862) @ (^[Z0/* 5 */:$i]:(?[X866:$i]:(((in @ X866 @ X861)&?[X867:$i]:((((in @ X867 @ X862)&(X863 @ X866 @ X867))&((Z0)=(kpair @ X866 @ X867)))))))))))))))=>(![X868:$i, X869:$i, X870:$i > $i > $o]:((subset @ (dsetconstr @ (cartprod @ X868 @ X869) @ (^[Z0/* 5 */:$i]:(?[X871:$i]:(((in @ X871 @ X868)&?[X872:$i]:((((in @ X872 @ X869)&(X870 @ X871 @ X872))&((Z0)=(kpair @ X871 @ X872))))))))) @ (cartprod @ X868 @ X869)))=>(![X896:$i, X897:$i, X898:$i > $i > $o]:((subset @ (dsetconstr @ (cartprod @ X896 @ X897) @ (^[Z0/* 5 */:$i]:(?[X899:$i]:(((in @ X899 @ X896)&?[X900:$i]:((((in @ X900 @ X897)&(X898 @ X899 @ X900))&((Z0)=(kpair @ X899 @ X900))))))))) @ (cartprod @ X896 @ X897)))=>(![X873:$i, X874:$i, X875:$i > $i > $o, X876:$i]:(((in @ X876 @ X873)=>![X877:$i]:(((in @ X877 @ X874)=>((in @ (kpair @ X876 @ X877) @ (dsetconstr @ (cartprod @ X873 @ X874) @ (^[Z0/* 5 */:$i]:(?[X878:$i]:(((in @ X878 @ X873)&?[X879:$i]:((((in @ X879 @ X874)&(X875 @ X878 @ X879))&((Z0)=(kpair @ X878 @ X879))))))))))=>(X875 @ X876 @ X877))))))=>(![X880:$i, X881:$i, X882:$i > $i > $o, X883:$i, X884:$i]:(((in @ (kpair @ X883 @ X884) @ (dsetconstr @ (cartprod @ X880 @ X881) @ (^[Z0/* 5 */:$i]:(?[X885:$i]:(((in @ X885 @ X880)&?[X886:$i]:((((in @ X886 @ X881)&(X882 @ X885 @ X886))&((Z0)=(kpair @ X885 @ X886))))))))))=>(in @ X883 @ X880)))=>(![X887:$i, X888:$i, X889:$i > $i > $o, X890:$i, X891:$i]:(((in @ (kpair @ X890 @ X891) @ (dsetconstr @ (cartprod @ X887 @ X888) @ (^[Z0/* 5 */:$i]:(?[X892:$i]:(((in @ X892 @ X887)&?[X893:$i]:((((in @ X893 @ X888)&(X889 @ X892 @ X893))&((Z0)=(kpair @ X892 @ X893))))))))))=>(in @ X891 @ X888)))=>![X4:$i, X5:$i, X29:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dsetconstr @ (cartprod @ X4 @ X5) @ (^[Z0/* 5 */:$i]:(?[X894:$i]:(((in @ X894 @ X4)&?[X895:$i]:((((in @ X895 @ X5)&(X29 @ X894 @ X895))&((Z0)=(kpair @ X894 @ X895))))))))))=>(X29 @ X2 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[dpsetconstrER])]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_226]), foundationAx]), wellorderingAx]), c_0_227]), c_0_228]), c_0_229]), c_0_230]), c_0_231]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_232]), setext]), emptyI]), noeltsimpempty]), c_0_233]), c_0_234]), c_0_235]), c_0_236]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_237]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_238]), c_0_239]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_240]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_241]), c_0_242]), c_0_243]), inCongP]), in__Cong]), c_0_244]), c_0_245]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_246]), c_0_247]), c_0_248]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_249]), c_0_250]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), setukpairIL]), setukpairIR]), kpairiskpair]), kpairp]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), cartprodmempair]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_251]), c_0_252]), c_0_253]), c_0_254]), singletonsuniq]), setukpairinjL1]), c_0_255]), c_0_256]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), c_0_257]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), cartprodpairsurjEq]), c_0_219]), c_0_258]), c_0_259]), c_0_260]), c_0_261]), c_0_262]), c_0_263])]), c_0_264])). 0.54/0.66 thf(c_0_266, negated_conjecture, ![X1180:$i, X1181:$i, X1183:$i, X1184:$i, X1185:$i, X1186:$i, X1187:$i, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1193:$i, X1194:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$i, X1200:$i, X1202:$i, X1203:$i > $i > $o, X1204:$i, X1206:$i, X1209:$i, X1211:$i, X1212:$i, X1213:$i, X1214:$i, X1216:$i, X1217:$i > $o, X1218:$i, X1220:$i, X1221:$i > $o, X1222:$i, X1223:$i, X1224:$i > $o, X1225:$i, X1226:$i, X1227:$i > $o, X1228:$i, X1229:$i > $o, X1230:$i, X1233:$i, X1234:$o, X1235:$i, X1236:$i, X1237:$o, X1238:$i, X1239:$i, X1240:$i > $o, X1241:$i, X1244:$i, X1245:$i, X1248:$i, X1250:$i, X1252:$i, X1253:$i > $o, X1254:$i, X1255:$i, X1257:$i, X1258:$i > $o, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1264:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i, X1269:$i, X1270:$o, X1271:$i, X1272:$i, X1273:$i, X1274:$i, X1275:$i, X1276:$i, X1278:$i, X1279:$i, X1280:$i, X1281:$i, X1282:$i, X1283:$i, X1284:$i, X1285:$i, X1286:$i, X1287:$i, X1288:$o, X1290:$i, X1291:$i, X1292:$i > $o, X1293:$i, X1296:$i, X1297:$i, X1298:$i, X1300:$i, X1301:$i, X1302:$i, X1303:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$i > $o, X1317:$i, X1318:$i > $o, X1319:$i, X1320:$i, X1321:$i > $o, X1322:$i, X1324:$i, X1325:$i > $o, X1327:$i, X1328:$i, X1329:$i > $o, X1331:$i, X1332:$i, X1333:$i > $o, X1334:$i, X1336:$o, X1337:$o, X1338:$i, X1339:$i > $o, X1341:$i, X1342:$i, X1343:$i > $o, X1344:$i, X1346:$i > $o, X1347:$i, X1350:$i, X1351:$i > $o, X1352:$i, X1356:$i, X1357:$i > $o, X1358:$i, X1361:$i, X1362:$i, X1363:$i, X1364:$i, X1365:$i, X1366:$i, X1367:$i, X1368:$i, X1369:$i, X1370:$i > $o, X1371:$i, X1373:$i, X1374:$i, X1375:$i > $o, X1376:$i > $o, X1379:$i, X1382:$i, X1383:$i, X1386:$i, X1387:$i, X1388:$i, X1389:$i, X1390:$i, X1391:$i, X1392:$i, X1393:$i, X1394:$i, X1395:$i > $o, X1396:$i, X1398:$i, X1399:$i, X1400:$i > $o, X1401:$i > $o, X1404:$i, X1406:$i, X1408:$i, X1409:$i, X1410:$i > $o, X1411:$i > $o, X1414:$i, X1415:$i, X1417:$i, X1418:$i, X1419:$i, X1420:$i, X1421:$i, X1422:$i, X1424:$i, X1425:$i, X1426:$i, X1427:$i, X1428:$i, X1429:$i, X1430:$i, X1431:$i, X1432:$i, X1433:$i, X1434:$i, X1435:$i, X1436:$i, X1437:$i, X1438:$i, X1439:$i, X1440:$i, X1441:$i, X1442:$i, X1443:$i, X1444:$i, X1445:$i, X1446:$i, X1447:$i, X1448:$i, X1449:$i, X1450:$i, X1451:$i, X1452:$i, X1453:$i, X1454:$i, X1455:$i, X1456:$i, X1457:$i, X1458:$i, X1459:$i, X1460:$i, X1461:$i > $o, X1462:$i, X1463:$i > $o, X1464:$i, X1465:$i, X1466:$i, X1467:$i, X1468:$i, X1469:$i, X1470:$i, X1471:$i, X1472:$i, X1473:$i, X1474:$i, X1475:$o, X1476:$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:$i, X1490:$i, X1491:$i, X1492:$i, X1493:$i, X1494:$i, X1495:$i, X1496:$i, X1497:$i, X1498:$i, X1499:$i, X1500:$i, X1501:$i, X1502:$i, 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:$i, X1531:$i, X1532:$i, X1533:$i, X1534:$i, X1535:$i, X1536:$i, X1537:$i, X1538:$i, X1539:$i, X1540:$i, X1541:$i, X1542:$i, X1543:$o, 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:$i, X1571:$i, 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:$i, X1605:$i, X1606:$i, X1607:$i, X1608:$i, X1609:$i, X1611:$i, X1612:$i, X1613:$i, X1614:$i, X1615:$i > $o, X1618:$i, X1620:$i, X1621:$i > $o, X1622:$i, X1624:$i, X1625:$i > $o, X1626:$i, X1629:$i, X1630:$i > $o, X1633:$i, X1635:$i, X1636:$i, X1637:$i, X1638:$i, X1639:$i, X1640:$i, X1642:$i, X1643:$i, X1644:$i, X1645:$i, X1646:$i, X1647:$i, X1648:$i, X1649:$i, X1650:$i, X1651:$i, X1652:$i, X1653:$i, X1654:$i, X1655:$i, X1656:$i, X1657:$i, 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:$i, X1678:$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 > $i > $o, X1710:$i, X1711:$i, X1712:$i, X1713:$i, X1714:$i > $i > $o, X1715:$i, X1716:$i, X1717:$i > $i > $o, X1718:$i, X1719:$i, X1720:$i > $i > $o, X1721:$i, X1722:$i, X1723:$i, X1724:$i, X1725:$i > $i > $o, X1726:$i, X1727:$i, X1728:$i, X1729:$i, X1730:$i > $i > $o, X1731:$i, X1732:$i]:((((~(in @ (esk1_2 @ X1180 @ X1181) @ X1180)|~(in @ (esk1_2 @ X1180 @ X1181) @ X1181)|((X1180)=(X1181)))&((in @ (esk1_2 @ X1180 @ X1181) @ X1180)|(in @ (esk1_2 @ X1180 @ X1181) @ X1181)|((X1180)=(X1181))))&(~(in @ X1183 @ emptyset)&(((~(in @ X1186 @ (setadjoin @ X1184 @ X1185))|(((X1186)=(X1184))|(in @ X1186 @ X1185)))&((((X1186)!=(X1184))|(in @ X1186 @ (setadjoin @ X1184 @ X1185)))&(~(in @ X1186 @ X1185)|(in @ X1186 @ (setadjoin @ X1184 @ X1185)))))&(((~(in @ X1188 @ (powerset @ X1187))|(~(in @ X1189 @ X1188)|(in @ X1189 @ X1187)))&(((in @ (esk2_2 @ X1190 @ X1191) @ X1191)|(in @ X1191 @ (powerset @ X1190)))&(~(in @ (esk2_2 @ X1190 @ X1191) @ X1190)|(in @ X1191 @ (powerset @ X1190)))))&(((((in @ X1194 @ (esk3_2 @ X1193 @ X1194))|~(in @ X1194 @ (setunion @ X1193)))&((in @ (esk3_2 @ X1193 @ X1194) @ X1193)|~(in @ X1194 @ (setunion @ X1193))))&(~(in @ X1197 @ X1198)|~(in @ X1198 @ X1196)|(in @ X1197 @ (setunion @ X1196))))&((in @ emptyset @ omega)&((~(in @ X1199 @ omega)|(in @ (setadjoin @ X1199 @ X1199) @ omega))&(((((in @ (esk4_1 @ X1200) @ omega)|~(in @ emptyset @ X1200)|(~(in @ X1202 @ omega)|(in @ X1202 @ X1200)))&((in @ (esk4_1 @ X1200) @ X1200)|~(in @ emptyset @ X1200)|(~(in @ X1202 @ omega)|(in @ X1202 @ X1200))))&(~(in @ (setadjoin @ (esk4_1 @ X1200) @ (esk4_1 @ X1200)) @ X1200)|~(in @ emptyset @ X1200)|(~(in @ X1202 @ omega)|(in @ X1202 @ X1200))))&((((((in @ (esk8_3 @ X1203 @ X1204 @ X1209) @ X1204)|~(in @ X1209 @ (esk7_2 @ X1203 @ X1204))|(in @ (esk5_2 @ X1203 @ X1204) @ X1204))&((X1203 @ (esk8_3 @ X1203 @ X1204 @ X1209) @ X1209)|~(in @ X1209 @ (esk7_2 @ X1203 @ X1204))|(in @ (esk5_2 @ X1203 @ X1204) @ X1204)))&(~(in @ X1212 @ X1204)|~(X1203 @ X1212 @ X1211)|(in @ X1211 @ (esk7_2 @ X1203 @ X1204))|(in @ (esk5_2 @ X1203 @ X1204) @ X1204)))&(((((in @ (esk8_3 @ X1203 @ X1204 @ X1209) @ X1204)|~(in @ X1209 @ (esk7_2 @ X1203 @ X1204))|((X1203 @ (esk5_2 @ X1203 @ X1204) @ (esk6_3 @ X1203 @ X1204 @ X1206))|~(X1203 @ (esk5_2 @ X1203 @ X1204) @ X1206)))&((X1203 @ (esk8_3 @ X1203 @ X1204 @ X1209) @ X1209)|~(in @ X1209 @ (esk7_2 @ X1203 @ X1204))|((X1203 @ (esk5_2 @ X1203 @ X1204) @ (esk6_3 @ X1203 @ X1204 @ X1206))|~(X1203 @ (esk5_2 @ X1203 @ X1204) @ X1206))))&(~(in @ X1212 @ X1204)|~(X1203 @ X1212 @ X1211)|(in @ X1211 @ (esk7_2 @ X1203 @ X1204))|((X1203 @ (esk5_2 @ X1203 @ X1204) @ (esk6_3 @ X1203 @ X1204 @ X1206))|~(X1203 @ (esk5_2 @ X1203 @ X1204) @ X1206))))&((((in @ (esk8_3 @ X1203 @ X1204 @ X1209) @ X1204)|~(in @ X1209 @ (esk7_2 @ X1203 @ X1204))|(((X1206)!=(esk6_3 @ X1203 @ X1204 @ X1206))|~(X1203 @ (esk5_2 @ X1203 @ X1204) @ X1206)))&((X1203 @ (esk8_3 @ X1203 @ X1204 @ X1209) @ X1209)|~(in @ X1209 @ (esk7_2 @ X1203 @ X1204))|(((X1206)!=(esk6_3 @ X1203 @ X1204 @ X1206))|~(X1203 @ (esk5_2 @ X1203 @ X1204) @ X1206))))&(~(in @ X1212 @ X1204)|~(X1203 @ X1212 @ X1211)|(in @ X1211 @ (esk7_2 @ X1203 @ X1204))|(((X1206)!=(esk6_3 @ X1203 @ X1204 @ X1206))|~(X1203 @ (esk5_2 @ X1203 @ X1204) @ X1206))))))&((((in @ (esk9_1 @ X1213) @ X1213)|~(in @ X1214 @ X1213))&(~(in @ X1216 @ (esk9_1 @ X1213))|~(in @ X1216 @ X1213)|~(in @ X1214 @ X1213)))&((epred1_0)&((((X1217 @ (esk10_2 @ X1217 @ X1218))|~(X1217 @ X1218)|(X1217 @ (descr @ (^[Z0/* 3 */:$i]:((X1217 @ Z0))))))&(((X1218)!=(esk10_2 @ X1217 @ X1218))|~(X1217 @ X1218)|(X1217 @ (descr @ (^[Z0/* 3 */:$i]:((X1217 @ Z0)))))))&((~(in @ X1222 @ X1220)|(~(X1221 @ X1222)|(in @ X1222 @ (dsetconstr @ X1220 @ (^[Z0/* 3 */:$i]:((X1221 @ Z0)))))))&((~(in @ X1225 @ (dsetconstr @ X1223 @ (^[Z0/* 3 */:$i]:((X1224 @ Z0)))))|(in @ X1225 @ X1223))&((~(in @ X1228 @ (dsetconstr @ X1226 @ (^[Z0/* 3 */:$i]:((X1227 @ Z0)))))|(X1227 @ X1228))&(((((X1229 @ (esk12_1 @ X1229))|((X1229 @ (esk11_2 @ X1229 @ X1230))|~(X1229 @ X1230)))&(~(X1229 @ X1233)|((esk12_1 @ X1229)=(X1233))|((X1229 @ (esk11_2 @ X1229 @ X1230))|~(X1229 @ X1230))))&(((X1229 @ (esk12_1 @ X1229))|(((X1230)!=(esk11_2 @ X1229 @ X1230))|~(X1229 @ X1230)))&(~(X1229 @ X1233)|((esk12_1 @ X1229)=(X1233))|(((X1230)!=(esk11_2 @ X1229 @ X1230))|~(X1229 @ X1230)))))&((~(in @ X1235 @ (prop2set @ ((X1234))))|(X1234))&((~(in @ X1236 @ emptyset)|(X1237))&(~(in @ X1238 @ emptyset)&(~(in @ X1239 @ emptyset)&((((X1240 @ (esk13_2 @ X1240 @ X1241))|~(X1240 @ X1241)|(X1240 @ (esk14_1 @ X1240)))&(((X1241)!=(esk13_2 @ X1240 @ X1241))|~(X1240 @ X1241)|(X1240 @ (esk14_1 @ X1240))))&(((((in @ (esk16_2 @ X1244 @ X1245) @ X1245)|((X1244)=(X1245))|(in @ (esk15_2 @ X1244 @ X1245) @ X1244))&(~(in @ (esk16_2 @ X1244 @ X1245) @ X1244)|((X1244)=(X1245))|(in @ (esk15_2 @ X1244 @ X1245) @ X1244)))&(((in @ (esk16_2 @ X1244 @ X1245) @ X1245)|((X1244)=(X1245))|~(in @ (esk15_2 @ X1244 @ X1245) @ X1245))&(~(in @ (esk16_2 @ X1244 @ X1245) @ X1244)|((X1244)=(X1245))|~(in @ (esk15_2 @ X1244 @ X1245) @ X1245))))&(((in @ (esk17_1 @ X1248) @ X1248)|((X1248)=(emptyset)))&(((in @ (esk18_1 @ X1250) @ X1250)|((X1250)=(emptyset)))&(((~(in @ X1254 @ (dsetconstr @ X1252 @ (^[Z0/* 3 */:$i]:((X1253 @ Z0)))))|(X1253 @ X1254)|~(in @ X1254 @ X1252))&(~(X1253 @ X1254)|(in @ X1254 @ (dsetconstr @ X1252 @ (^[Z0/* 3 */:$i]:((X1253 @ Z0)))))|~(in @ X1254 @ X1252)))&((((X1255)=(emptyset))|(in @ (esk19_1 @ X1255) @ X1255))&((~(in @ X1259 @ X1257)|(~(X1258 @ X1259)|((dsetconstr @ X1257 @ (^[Z0/* 3 */:$i]:((X1258 @ Z0))))!=(emptyset))))&((~(in @ X1261 @ X1260)|((X1260)!=(emptyset)))&((in @ X1262 @ (setadjoin @ X1262 @ X1263))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1266 @ X1265)|(in @ X1266 @ (setadjoin @ X1264 @ X1265)))&(((((in @ X1269 @ X1268)|(X1270)|((X1269)=(X1267))|~(in @ X1269 @ (setadjoin @ X1267 @ X1268)))&(~(X1270)|(X1270)|((X1269)=(X1267))|~(in @ X1269 @ (setadjoin @ X1267 @ X1268))))&(((in @ X1269 @ X1268)|(X1270)|~(X1270)|~(in @ X1269 @ (setadjoin @ X1267 @ X1268)))&(~(X1270)|(X1270)|~(X1270)|~(in @ X1269 @ (setadjoin @ X1267 @ X1268)))))&((~(in @ X1273 @ (setadjoin @ X1271 @ X1272))|(((X1273)=(X1271))|(in @ X1273 @ X1272)))&(((dsetconstr @ X1274 @ (^[Z0/* 3 */:$i]:(($true))))=(X1274))&((((in @ (esk20_2 @ X1275 @ X1276) @ X1276)|(in @ X1276 @ (powerset @ X1275)))&(~(in @ (esk20_2 @ X1275 @ X1276) @ X1275)|(in @ X1276 @ (powerset @ X1275))))&((in @ emptyset @ (powerset @ X1278))&((in @ emptyset @ (powerset @ X1279))&((~(in @ X1281 @ (powerset @ X1280))|(~(in @ X1282 @ X1281)|(in @ X1282 @ X1280)))&((~(in @ X1284 @ X1285)|(~(in @ X1285 @ X1283)|(in @ X1284 @ (setunion @ X1283))))&((((in @ X1287 @ (esk21_3 @ X1286 @ X1287 @ X1288))|(X1288)|~(in @ X1287 @ (setunion @ X1286)))&(((in @ (esk21_3 @ X1286 @ X1287 @ X1288) @ X1286)|(X1288)|~(in @ X1287 @ (setunion @ X1286)))&(~(X1288)|(X1288)|~(in @ X1287 @ (setunion @ X1286)))))&((~(in @ X1291 @ X1290)|(in @ X1291 @ (powerset @ (setunion @ X1290))))&((((~(X1292 @ X1296)|((X1296)=(esk23_1 @ X1292))|((X1292 @ (esk22_2 @ X1292 @ X1293))|~(X1292 @ X1293)))&(((X1297)!=(esk23_1 @ X1292))|(X1292 @ X1297)|((X1292 @ (esk22_2 @ X1292 @ X1293))|~(X1292 @ X1293))))&((~(X1292 @ X1296)|((X1296)=(esk23_1 @ X1292))|(((X1293)!=(esk22_2 @ X1292 @ X1293))|~(X1292 @ X1293)))&(((X1297)!=(esk23_1 @ X1292))|(X1292 @ X1297)|(((X1293)!=(esk22_2 @ X1292 @ X1293))|~(X1292 @ X1293)))))&((((X1298)=(emptyset))|(in @ (esk24_1 @ X1298) @ X1298))&((~(in @ X1300 @ (setadjoin @ X1301 @ emptyset))|((X1300)=(X1301)))&((((X1302)=(X1303))|~(in @ X1303 @ (setadjoin @ X1302 @ emptyset)))&((((X1304)!=(X1305))|(in @ X1304 @ (setadjoin @ X1305 @ emptyset)))&((~(in @ X1306 @ (setadjoin @ X1307 @ emptyset))|(in @ X1307 @ (setadjoin @ X1306 @ emptyset)))&((~(in @ X1310 @ (setadjoin @ X1308 @ (setadjoin @ X1309 @ emptyset)))|(((X1310)=(X1308))|((X1310)=(X1309))))&((in @ X1311 @ (setadjoin @ X1311 @ (setadjoin @ X1312 @ emptyset)))&((in @ X1314 @ (setadjoin @ X1313 @ (setadjoin @ X1314 @ emptyset)))&((~(in @ X1317 @ X1315)|~(X1316 @ X1317)|((dsetconstr @ X1315 @ (^[Z0/* 3 */:$i]:((X1316 @ Z0))))!=(emptyset)))&((~(in @ X1319 @ emptyset)|(X1318 @ X1319))&((((in @ (esk25_2 @ X1320 @ X1321) @ X1320)|(~(in @ X1322 @ X1320)|(X1321 @ X1322)))&(~(X1321 @ (esk25_2 @ X1320 @ X1321))|(~(in @ X1322 @ X1320)|(X1321 @ X1322))))&((((in @ (esk26_2 @ X1324 @ X1325) @ X1324)|(~(in @ X1327 @ X1324)|~(X1325 @ X1327)))&((X1325 @ (esk26_2 @ X1324 @ X1325))|(~(in @ X1327 @ X1324)|~(X1325 @ X1327))))&((((in @ (esk27_2 @ X1328 @ X1329) @ X1328)|(~(in @ X1331 @ X1328)|~(X1329 @ X1331)))&((X1329 @ (esk27_2 @ X1328 @ X1329))|(~(in @ X1331 @ X1328)|~(X1329 @ X1331))))&((((in @ (esk28_2 @ X1332 @ X1333) @ X1332)|(~(in @ X1334 @ X1332)|(X1333 @ X1334)))&(~(X1333 @ (esk28_2 @ X1332 @ X1333))|(~(in @ X1334 @ X1332)|(X1333 @ X1334))))&((~(X1336)|(in @ emptyset @ (prop2set @ ((X1336)))))&((~(X1337)|(set2prop @ (prop2set @ ((X1337)))))&((((in @ (esk29_2 @ X1338 @ X1339) @ X1338)|(~(in @ X1341 @ X1338)|~(X1339 @ X1341)))&((X1339 @ (esk29_2 @ X1338 @ X1339))|(~(in @ X1341 @ X1338)|~(X1339 @ X1341))))&((((in @ (esk30_2 @ X1342 @ X1343) @ X1342)|(~(in @ X1344 @ X1342)|(X1343 @ X1344)))&(~(X1343 @ (esk30_2 @ X1342 @ X1343))|(~(in @ X1344 @ X1342)|(X1343 @ X1344))))&(((((X1346 @ (esk32_1 @ X1346))|((X1346 @ (esk31_2 @ X1346 @ X1347))|~(X1346 @ X1347)))&(~(X1346 @ X1350)|((esk32_1 @ X1346)=(X1350))|((X1346 @ (esk31_2 @ X1346 @ X1347))|~(X1346 @ X1347))))&(((X1346 @ (esk32_1 @ X1346))|(((X1347)!=(esk31_2 @ X1346 @ X1347))|~(X1346 @ X1347)))&(~(X1346 @ X1350)|((esk32_1 @ X1346)=(X1350))|(((X1347)!=(esk31_2 @ X1346 @ X1347))|~(X1346 @ X1347)))))&(((((X1351 @ (esk35_1 @ X1351))|(X1351 @ (esk33_1 @ X1351))|~(X1351 @ X1352))&(~(X1351 @ X1356)|((esk35_1 @ X1351)=(X1356))|(X1351 @ (esk33_1 @ X1351))|~(X1351 @ X1352)))&((((X1351 @ (esk35_1 @ X1351))|(X1351 @ (esk34_1 @ X1351))|~(X1351 @ X1352))&(~(X1351 @ X1356)|((esk35_1 @ X1351)=(X1356))|(X1351 @ (esk34_1 @ X1351))|~(X1351 @ X1352)))&(((X1351 @ (esk35_1 @ X1351))|((esk33_1 @ X1351)!=(esk34_1 @ X1351))|~(X1351 @ X1352))&(~(X1351 @ X1356)|((esk35_1 @ X1351)=(X1356))|((esk33_1 @ X1351)!=(esk34_1 @ X1351))|~(X1351 @ X1352)))))&(((((X1357 @ (esk37_1 @ X1357))|(~(X1357 @ (esk36_2 @ X1357 @ X1358))|((esk36_2 @ X1357 @ X1358)!=(X1358))))&(~(X1357 @ X1361)|((esk37_1 @ X1357)=(X1361))|(~(X1357 @ (esk36_2 @ X1357 @ X1358))|((esk36_2 @ X1357 @ X1358)!=(X1358)))))&(((X1357 @ (esk37_1 @ X1357))|((X1357 @ (esk36_2 @ X1357 @ X1358))|((esk36_2 @ X1357 @ X1358)=(X1358))))&(~(X1357 @ X1361)|((esk37_1 @ X1357)=(X1361))|((X1357 @ (esk36_2 @ X1357 @ X1358))|((esk36_2 @ X1357 @ X1358)=(X1358))))))&((((X1362)!=(X1363))|(((X1364)!=(X1365))|(~(in @ X1364 @ X1362)|(in @ X1365 @ X1363))))&(((~(in @ X1368 @ X1366)|(in @ X1369 @ X1367)|((X1368)!=(X1369))|((X1366)!=(X1367)))&(~(in @ X1369 @ X1367)|(in @ X1368 @ X1366)|((X1368)!=(X1369))|((X1366)!=(X1367))))&((((X1370 @ (esk38_2 @ X1370 @ X1371))|~(X1370 @ X1371)|(~(X1370 @ X1373)|(~(X1370 @ X1374)|((X1373)=(X1374)))))&(((X1371)!=(esk38_2 @ X1370 @ X1371))|~(X1370 @ X1371)|(~(X1370 @ X1373)|(~(X1370 @ X1374)|((X1373)=(X1374))))))&(((((((X1376 @ (esk42_2 @ X1375 @ X1376))|((X1375 @ (esk41_3 @ X1375 @ X1376 @ X1379))|~(X1375 @ X1379))|((esk39_2 @ X1375 @ X1376)=(esk40_2 @ X1375 @ X1376)))&(~(X1376 @ X1382)|((esk42_2 @ X1375 @ X1376)=(X1382))|((X1375 @ (esk41_3 @ X1375 @ X1376 @ X1379))|~(X1375 @ X1379))|((esk39_2 @ X1375 @ X1376)=(esk40_2 @ X1375 @ X1376))))&(((X1376 @ (esk42_2 @ X1375 @ X1376))|(((X1379)!=(esk41_3 @ X1375 @ X1376 @ X1379))|~(X1375 @ X1379))|((esk39_2 @ X1375 @ X1376)=(esk40_2 @ X1375 @ X1376)))&(~(X1376 @ X1382)|((esk42_2 @ X1375 @ X1376)=(X1382))|(((X1379)!=(esk41_3 @ X1375 @ X1376 @ X1379))|~(X1375 @ X1379))|((esk39_2 @ X1375 @ X1376)=(esk40_2 @ X1375 @ X1376)))))&((((X1375 @ (esk44_2 @ X1375 @ X1376))|((X1376 @ (esk43_3 @ X1375 @ X1376 @ X1383))|~(X1376 @ X1383))|((esk39_2 @ X1375 @ X1376)=(esk40_2 @ X1375 @ X1376)))&(~(X1375 @ X1386)|((esk44_2 @ X1375 @ X1376)=(X1386))|((X1376 @ (esk43_3 @ X1375 @ X1376 @ X1383))|~(X1376 @ X1383))|((esk39_2 @ X1375 @ X1376)=(esk40_2 @ X1375 @ X1376))))&(((X1375 @ (esk44_2 @ X1375 @ X1376))|(((X1383)!=(esk43_3 @ X1375 @ X1376 @ X1383))|~(X1376 @ X1383))|((esk39_2 @ X1375 @ X1376)=(esk40_2 @ X1375 @ X1376)))&(~(X1375 @ X1386)|((esk44_2 @ X1375 @ X1376)=(X1386))|(((X1383)!=(esk43_3 @ X1375 @ X1376 @ X1383))|~(X1376 @ X1383))|((esk39_2 @ X1375 @ X1376)=(esk40_2 @ X1375 @ X1376))))))&((((((X1376 @ (esk42_2 @ X1375 @ X1376))|((X1375 @ (esk41_3 @ X1375 @ X1376 @ X1379))|~(X1375 @ X1379))|(~(X1375 @ (esk39_2 @ X1375 @ X1376))|~(X1376 @ (esk40_2 @ X1375 @ X1376))))&(~(X1376 @ X1382)|((esk42_2 @ X1375 @ X1376)=(X1382))|((X1375 @ (esk41_3 @ X1375 @ X1376 @ X1379))|~(X1375 @ X1379))|(~(X1375 @ (esk39_2 @ X1375 @ X1376))|~(X1376 @ (esk40_2 @ X1375 @ X1376)))))&(((X1376 @ (esk42_2 @ X1375 @ X1376))|(((X1379)!=(esk41_3 @ X1375 @ X1376 @ X1379))|~(X1375 @ X1379))|(~(X1375 @ (esk39_2 @ X1375 @ X1376))|~(X1376 @ (esk40_2 @ X1375 @ X1376))))&(~(X1376 @ X1382)|((esk42_2 @ X1375 @ X1376)=(X1382))|(((X1379)!=(esk41_3 @ X1375 @ X1376 @ X1379))|~(X1375 @ X1379))|(~(X1375 @ (esk39_2 @ X1375 @ X1376))|~(X1376 @ (esk40_2 @ X1375 @ X1376))))))&((((X1375 @ (esk44_2 @ X1375 @ X1376))|((X1376 @ (esk43_3 @ X1375 @ X1376 @ X1383))|~(X1376 @ X1383))|(~(X1375 @ (esk39_2 @ X1375 @ X1376))|~(X1376 @ (esk40_2 @ X1375 @ X1376))))&(~(X1375 @ X1386)|((esk44_2 @ X1375 @ X1376)=(X1386))|((X1376 @ (esk43_3 @ X1375 @ X1376 @ X1383))|~(X1376 @ X1383))|(~(X1375 @ (esk39_2 @ X1375 @ X1376))|~(X1376 @ (esk40_2 @ X1375 @ X1376)))))&(((X1375 @ (esk44_2 @ X1375 @ X1376))|(((X1383)!=(esk43_3 @ X1375 @ X1376 @ X1383))|~(X1376 @ X1383))|(~(X1375 @ (esk39_2 @ X1375 @ X1376))|~(X1376 @ (esk40_2 @ X1375 @ X1376))))&(~(X1375 @ X1386)|((esk44_2 @ X1375 @ X1376)=(X1386))|(((X1383)!=(esk43_3 @ X1375 @ X1376 @ X1383))|~(X1376 @ X1383))|(~(X1375 @ (esk39_2 @ X1375 @ X1376))|~(X1376 @ (esk40_2 @ X1375 @ X1376)))))))&(((((X1376 @ (esk42_2 @ X1375 @ X1376))|((X1375 @ (esk41_3 @ X1375 @ X1376 @ X1379))|~(X1375 @ X1379))|((X1375 @ (esk39_2 @ X1375 @ X1376))|(X1376 @ (esk40_2 @ X1375 @ X1376))))&(~(X1376 @ X1382)|((esk42_2 @ X1375 @ X1376)=(X1382))|((X1375 @ (esk41_3 @ X1375 @ X1376 @ X1379))|~(X1375 @ X1379))|((X1375 @ (esk39_2 @ X1375 @ X1376))|(X1376 @ (esk40_2 @ X1375 @ X1376)))))&(((X1376 @ (esk42_2 @ X1375 @ X1376))|(((X1379)!=(esk41_3 @ X1375 @ X1376 @ X1379))|~(X1375 @ X1379))|((X1375 @ (esk39_2 @ X1375 @ X1376))|(X1376 @ (esk40_2 @ X1375 @ X1376))))&(~(X1376 @ X1382)|((esk42_2 @ X1375 @ X1376)=(X1382))|(((X1379)!=(esk41_3 @ X1375 @ X1376 @ X1379))|~(X1375 @ X1379))|((X1375 @ (esk39_2 @ X1375 @ X1376))|(X1376 @ (esk40_2 @ X1375 @ X1376))))))&((((X1375 @ (esk44_2 @ X1375 @ X1376))|((X1376 @ (esk43_3 @ X1375 @ X1376 @ X1383))|~(X1376 @ X1383))|((X1375 @ (esk39_2 @ X1375 @ X1376))|(X1376 @ (esk40_2 @ X1375 @ X1376))))&(~(X1375 @ X1386)|((esk44_2 @ X1375 @ X1376)=(X1386))|((X1376 @ (esk43_3 @ X1375 @ X1376 @ X1383))|~(X1376 @ X1383))|((X1375 @ (esk39_2 @ X1375 @ X1376))|(X1376 @ (esk40_2 @ X1375 @ X1376)))))&(((X1375 @ (esk44_2 @ X1375 @ X1376))|(((X1383)!=(esk43_3 @ X1375 @ X1376 @ X1383))|~(X1376 @ X1383))|((X1375 @ (esk39_2 @ X1375 @ X1376))|(X1376 @ (esk40_2 @ X1375 @ X1376))))&(~(X1375 @ X1386)|((esk44_2 @ X1375 @ X1376)=(X1386))|(((X1383)!=(esk43_3 @ X1375 @ X1376 @ X1383))|~(X1376 @ X1383))|((X1375 @ (esk39_2 @ X1375 @ X1376))|(X1376 @ (esk40_2 @ X1375 @ X1376)))))))))&(((emptyset)=(emptyset))&((((X1387)!=(X1388))|(((X1389)!=(X1390))|((setadjoin @ X1387 @ X1389)=(setadjoin @ X1388 @ X1390))))&((((X1391)!=(X1392))|((powerset @ X1391)=(powerset @ X1392)))&((((X1393)!=(X1394))|((setunion @ X1393)=(setunion @ X1394)))&(((omega)=(omega))&((((X1395 @ (esk45_2 @ X1395 @ X1396))|~(X1395 @ X1396)|(~(X1395 @ X1398)|(~(X1395 @ X1399)|((X1398)=(X1399)))))&(((X1396)!=(esk45_2 @ X1395 @ X1396))|~(X1395 @ X1396)|(~(X1395 @ X1398)|(~(X1395 @ X1399)|((X1398)=(X1399))))))&((((((X1401 @ (esk49_3 @ X1400 @ X1401 @ X1406))|~(X1401 @ X1406)|((descr @ (^[Z0/* 3 */:$i]:((X1400 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1401 @ Z0)))))|((X1400 @ (esk48_3 @ X1400 @ X1401 @ X1404))|~(X1400 @ X1404))|((esk46_2 @ X1400 @ X1401)=(esk47_2 @ X1400 @ X1401)))&(((X1406)!=(esk49_3 @ X1400 @ X1401 @ X1406))|~(X1401 @ X1406)|((descr @ (^[Z0/* 3 */:$i]:((X1400 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1401 @ Z0)))))|((X1400 @ (esk48_3 @ X1400 @ X1401 @ X1404))|~(X1400 @ X1404))|((esk46_2 @ X1400 @ X1401)=(esk47_2 @ X1400 @ X1401))))&(((X1401 @ (esk49_3 @ X1400 @ X1401 @ X1406))|~(X1401 @ X1406)|((descr @ (^[Z0/* 3 */:$i]:((X1400 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1401 @ Z0)))))|(((X1404)!=(esk48_3 @ X1400 @ X1401 @ X1404))|~(X1400 @ X1404))|((esk46_2 @ X1400 @ X1401)=(esk47_2 @ X1400 @ X1401)))&(((X1406)!=(esk49_3 @ X1400 @ X1401 @ X1406))|~(X1401 @ X1406)|((descr @ (^[Z0/* 3 */:$i]:((X1400 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1401 @ Z0)))))|(((X1404)!=(esk48_3 @ X1400 @ X1401 @ X1404))|~(X1400 @ X1404))|((esk46_2 @ X1400 @ X1401)=(esk47_2 @ X1400 @ X1401)))))&(((((X1401 @ (esk49_3 @ X1400 @ X1401 @ X1406))|~(X1401 @ X1406)|((descr @ (^[Z0/* 3 */:$i]:((X1400 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1401 @ Z0)))))|((X1400 @ (esk48_3 @ X1400 @ X1401 @ X1404))|~(X1400 @ X1404))|(~(X1400 @ (esk46_2 @ X1400 @ X1401))|~(X1401 @ (esk47_2 @ X1400 @ X1401))))&(((X1406)!=(esk49_3 @ X1400 @ X1401 @ X1406))|~(X1401 @ X1406)|((descr @ (^[Z0/* 3 */:$i]:((X1400 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1401 @ Z0)))))|((X1400 @ (esk48_3 @ X1400 @ X1401 @ X1404))|~(X1400 @ X1404))|(~(X1400 @ (esk46_2 @ X1400 @ X1401))|~(X1401 @ (esk47_2 @ X1400 @ X1401)))))&(((X1401 @ (esk49_3 @ X1400 @ X1401 @ X1406))|~(X1401 @ X1406)|((descr @ (^[Z0/* 3 */:$i]:((X1400 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1401 @ Z0)))))|(((X1404)!=(esk48_3 @ X1400 @ X1401 @ X1404))|~(X1400 @ X1404))|(~(X1400 @ (esk46_2 @ X1400 @ X1401))|~(X1401 @ (esk47_2 @ X1400 @ X1401))))&(((X1406)!=(esk49_3 @ X1400 @ X1401 @ X1406))|~(X1401 @ X1406)|((descr @ (^[Z0/* 3 */:$i]:((X1400 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1401 @ Z0)))))|(((X1404)!=(esk48_3 @ X1400 @ X1401 @ X1404))|~(X1400 @ X1404))|(~(X1400 @ (esk46_2 @ X1400 @ X1401))|~(X1401 @ (esk47_2 @ X1400 @ X1401))))))&((((X1401 @ (esk49_3 @ X1400 @ X1401 @ X1406))|~(X1401 @ X1406)|((descr @ (^[Z0/* 3 */:$i]:((X1400 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1401 @ Z0)))))|((X1400 @ (esk48_3 @ X1400 @ X1401 @ X1404))|~(X1400 @ X1404))|((X1400 @ (esk46_2 @ X1400 @ X1401))|(X1401 @ (esk47_2 @ X1400 @ X1401))))&(((X1406)!=(esk49_3 @ X1400 @ X1401 @ X1406))|~(X1401 @ X1406)|((descr @ (^[Z0/* 3 */:$i]:((X1400 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1401 @ Z0)))))|((X1400 @ (esk48_3 @ X1400 @ X1401 @ X1404))|~(X1400 @ X1404))|((X1400 @ (esk46_2 @ X1400 @ X1401))|(X1401 @ (esk47_2 @ X1400 @ X1401)))))&(((X1401 @ (esk49_3 @ X1400 @ X1401 @ X1406))|~(X1401 @ X1406)|((descr @ (^[Z0/* 3 */:$i]:((X1400 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1401 @ Z0)))))|(((X1404)!=(esk48_3 @ X1400 @ X1401 @ X1404))|~(X1400 @ X1404))|((X1400 @ (esk46_2 @ X1400 @ X1401))|(X1401 @ (esk47_2 @ X1400 @ X1401))))&(((X1406)!=(esk49_3 @ X1400 @ X1401 @ X1406))|~(X1401 @ X1406)|((descr @ (^[Z0/* 3 */:$i]:((X1400 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1401 @ Z0)))))|(((X1404)!=(esk48_3 @ X1400 @ X1401 @ X1404))|~(X1400 @ X1404))|((X1400 @ (esk46_2 @ X1400 @ X1401))|(X1401 @ (esk47_2 @ X1400 @ X1401))))))))&((((in @ (esk50_4 @ X1408 @ X1409 @ X1410 @ X1411) @ X1408)|((dsetconstr @ X1408 @ (^[Z0/* 3 */:$i]:((X1410 @ Z0))))=(dsetconstr @ X1409 @ (^[Z0/* 3 */:$i]:((X1411 @ Z0)))))|((X1408)!=(X1409)))&(((in @ (esk51_4 @ X1408 @ X1409 @ X1410 @ X1411) @ X1409)|((dsetconstr @ X1408 @ (^[Z0/* 3 */:$i]:((X1410 @ Z0))))=(dsetconstr @ X1409 @ (^[Z0/* 3 */:$i]:((X1411 @ Z0)))))|((X1408)!=(X1409)))&((((esk50_4 @ X1408 @ X1409 @ X1410 @ X1411)=(esk51_4 @ X1408 @ X1409 @ X1410 @ X1411))|((dsetconstr @ X1408 @ (^[Z0/* 3 */:$i]:((X1410 @ Z0))))=(dsetconstr @ X1409 @ (^[Z0/* 3 */:$i]:((X1411 @ Z0)))))|((X1408)!=(X1409)))&((~(X1410 @ (esk50_4 @ X1408 @ X1409 @ X1410 @ X1411))|~(X1411 @ (esk51_4 @ X1408 @ X1409 @ X1410 @ X1411))|((dsetconstr @ X1408 @ (^[Z0/* 3 */:$i]:((X1410 @ Z0))))=(dsetconstr @ X1409 @ (^[Z0/* 3 */:$i]:((X1411 @ Z0)))))|((X1408)!=(X1409)))&((X1410 @ (esk50_4 @ X1408 @ X1409 @ X1410 @ X1411))|(X1411 @ (esk51_4 @ X1408 @ X1409 @ X1410 @ X1411))|((dsetconstr @ X1408 @ (^[Z0/* 3 */:$i]:((X1410 @ Z0))))=(dsetconstr @ X1409 @ (^[Z0/* 3 */:$i]:((X1411 @ Z0)))))|((X1408)!=(X1409)))))))&((((in @ (esk52_2 @ X1414 @ X1415) @ X1414)|(subset @ X1414 @ X1415))&(~(in @ (esk52_2 @ X1414 @ X1415) @ X1415)|(subset @ X1414 @ X1415)))&((((X1417)!=(X1418))|(subset @ X1418 @ X1417))&((((X1419)!=(X1420))|(subset @ X1419 @ X1420))&((((in @ (esk53_2 @ X1421 @ X1422) @ X1421)|(subset @ X1421 @ X1422))&(~(in @ (esk53_2 @ X1421 @ X1422) @ X1422)|(subset @ X1421 @ X1422)))&((subset @ emptyset @ X1424)&((~(subset @ X1425 @ X1426)|(~(in @ X1427 @ X1425)|(in @ X1427 @ X1426)))&((~(subset @ X1428 @ X1429)|((in @ X1430 @ X1429)|~(in @ X1430 @ X1428)))&((~(in @ X1433 @ X1431)|((in @ X1433 @ X1432)|~(subset @ X1431 @ X1432)))&(((subset @ X1434 @ X1435)|((X1434)!=(X1435)))&((~(in @ X1438 @ X1436)|((in @ X1438 @ X1437)|((X1436)!=(X1437))))&((subset @ X1439 @ X1439)&((~(subset @ X1440 @ X1441)|(~(subset @ X1441 @ X1442)|(subset @ X1440 @ X1442)))&((subset @ X1444 @ (setadjoin @ X1443 @ X1444))&((~(subset @ X1445 @ X1447)|(subset @ X1445 @ (setadjoin @ X1446 @ X1447)))&((~(subset @ X1448 @ X1449)|(in @ X1448 @ (powerset @ X1449)))&((~(subset @ X1450 @ X1451)|(~(subset @ X1451 @ X1450)|((X1450)=(X1451))))&((~(subset @ X1452 @ emptyset)|((X1452)=(emptyset)))&((~(subset @ X1454 @ X1453)|(in @ X1454 @ (powerset @ X1453)))&((~(in @ X1456 @ (powerset @ X1455))|(subset @ X1456 @ X1455))&((in @ X1457 @ (powerset @ X1457))&((~(subset @ X1458 @ X1459)|(subset @ (powerset @ X1458) @ (powerset @ X1459)))&((in @ (dsetconstr @ X1460 @ (^[Z0/* 3 */:$i]:((X1461 @ Z0)))) @ (powerset @ X1460))&((subset @ (dsetconstr @ X1462 @ (^[Z0/* 3 */:$i]:((X1463 @ Z0)))) @ X1462)&((~(in @ X1466 @ X1464)|(in @ X1466 @ (binunion @ X1464 @ X1465)))&((in @ X1468 @ (setadjoin @ X1467 @ (setadjoin @ X1468 @ emptyset)))&((~(in @ X1471 @ X1470)|(in @ X1471 @ (binunion @ X1469 @ X1470)))&(((((in @ X1474 @ X1473)|(X1475)|(in @ X1474 @ X1472)|~(in @ X1474 @ (binunion @ X1472 @ X1473)))&(~(X1475)|(X1475)|(in @ X1474 @ X1472)|~(in @ X1474 @ (binunion @ X1472 @ X1473))))&(((in @ X1474 @ X1473)|(X1475)|~(X1475)|~(in @ X1474 @ (binunion @ X1472 @ X1473)))&(~(X1475)|(X1475)|~(X1475)|~(in @ X1474 @ (binunion @ X1472 @ X1473)))))&((~(in @ X1478 @ (binunion @ X1476 @ X1477))|((in @ X1478 @ X1476)|(in @ X1478 @ X1477)))&((subset @ X1479 @ (binunion @ X1479 @ X1480))&((subset @ X1482 @ (binunion @ X1481 @ X1482))&((~(in @ X1485 @ X1483)|(~(in @ X1485 @ X1484)|(in @ X1485 @ (binintersect @ X1483 @ X1484))))&((~(subset @ X1488 @ X1486)|(~(subset @ X1488 @ X1487)|(subset @ X1488 @ (binintersect @ X1486 @ X1487))))&((~(in @ X1491 @ (binintersect @ X1489 @ X1490))|(in @ X1491 @ X1489))&((subset @ (binintersect @ X1492 @ X1493) @ X1492)&((~(subset @ X1494 @ X1495)|((binintersect @ X1494 @ X1495)=(X1494)))&((((binintersect @ X1496 @ X1497)!=(X1497))|(subset @ X1497 @ X1496))&((~(in @ X1500 @ (binintersect @ X1498 @ X1499))|(in @ X1500 @ X1499))&((((in @ (esk54_2 @ X1501 @ X1502) @ X1501)|((binintersect @ X1501 @ X1502)=(emptyset)))&((in @ (esk54_2 @ X1501 @ X1502) @ X1502)|((binintersect @ X1501 @ X1502)=(emptyset))))&((subset @ (binintersect @ X1504 @ X1505) @ X1505)&((~(subset @ X1507 @ X1506)|((binintersect @ X1506 @ X1507)=(X1507)))&((((binintersect @ X1508 @ X1509)!=(X1508))|(subset @ X1508 @ X1509))&(((binintersect @ X1510 @ (binunion @ X1511 @ X1512))=(binunion @ (binintersect @ X1510 @ X1511) @ (binintersect @ X1510 @ X1512)))&((~(in @ X1515 @ X1513)|((in @ X1515 @ X1514)|(in @ X1515 @ (setminus @ X1513 @ X1514))))&((~(in @ X1518 @ (setminus @ X1516 @ X1517))|(in @ X1518 @ X1516))&((~(in @ X1521 @ (setminus @ X1519 @ X1520))|~(in @ X1521 @ X1520))&((~(subset @ X1522 @ X1523)|((setminus @ X1522 @ X1523)=(emptyset)))&(((in @ X1526 @ (setminus @ X1524 @ X1525))|(~(in @ X1526 @ X1524)|(in @ X1526 @ X1525)))&(((in @ X1529 @ (setminus @ X1527 @ X1528))|((in @ X1529 @ X1528)|~(in @ X1529 @ X1527)))&(((in @ X1532 @ X1530)|~(in @ X1532 @ (setminus @ X1530 @ X1531)))&((~(in @ X1535 @ X1534)|~(in @ X1535 @ (setminus @ X1533 @ X1534)))&((subset @ (setminus @ X1536 @ X1537) @ X1536)&((((setminus @ X1538 @ X1539)!=(emptyset))|(subset @ X1538 @ X1539))&((((~(in @ X1542 @ X1540)|(X1543)|(in @ X1542 @ X1540)|~(in @ X1542 @ (symdiff @ X1540 @ X1541)))&(((in @ X1542 @ X1541)|(X1543)|(in @ X1542 @ X1540)|~(in @ X1542 @ (symdiff @ X1540 @ X1541)))&(~(X1543)|(X1543)|(in @ X1542 @ X1540)|~(in @ X1542 @ (symdiff @ X1540 @ X1541)))))&(((~(in @ X1542 @ X1540)|(X1543)|~(in @ X1542 @ X1541)|~(in @ X1542 @ (symdiff @ X1540 @ X1541)))&(((in @ X1542 @ X1541)|(X1543)|~(in @ X1542 @ X1541)|~(in @ X1542 @ (symdiff @ X1540 @ X1541)))&(~(X1543)|(X1543)|~(in @ X1542 @ X1541)|~(in @ X1542 @ (symdiff @ X1540 @ X1541)))))&((~(in @ X1542 @ X1540)|(X1543)|~(X1543)|~(in @ X1542 @ (symdiff @ X1540 @ X1541)))&(((in @ X1542 @ X1541)|(X1543)|~(X1543)|~(in @ X1542 @ (symdiff @ X1540 @ X1541)))&(~(X1543)|(X1543)|~(X1543)|~(in @ X1542 @ (symdiff @ X1540 @ X1541)))))))&((~(in @ X1546 @ X1544)|((in @ X1546 @ X1545)|(in @ X1546 @ (symdiff @ X1544 @ X1545))))&(((in @ X1549 @ X1547)|(~(in @ X1549 @ X1548)|(in @ X1549 @ (symdiff @ X1547 @ X1548))))&((~(in @ X1552 @ X1550)|(~(in @ X1552 @ X1551)|~(in @ X1552 @ (symdiff @ X1550 @ X1551))))&(((in @ X1555 @ X1553)|((in @ X1555 @ X1554)|~(in @ X1555 @ (symdiff @ X1553 @ X1554))))&((in @ X1557 @ (setadjoin @ X1556 @ (setadjoin @ X1557 @ emptyset)))&((in @ X1558 @ (setunion @ (setadjoin @ (setadjoin @ X1558 @ emptyset) @ (setadjoin @ (setadjoin @ X1558 @ (setadjoin @ X1559 @ emptyset)) @ emptyset))))&((in @ X1561 @ (setunion @ (setadjoin @ (setadjoin @ X1560 @ emptyset) @ (setadjoin @ (setadjoin @ X1560 @ (setadjoin @ X1561 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1562 @ emptyset) @ (setadjoin @ (setadjoin @ X1562 @ (setadjoin @ X1563 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1564 @ X1565))&((~(in @ X1567 @ X1566)|(subset @ (setadjoin @ X1567 @ emptyset) @ X1566))&((~(in @ X1569 @ X1568)|(in @ (setadjoin @ X1569 @ emptyset) @ (powerset @ X1568)))&((~(in @ X1572 @ X1570)|(in @ (setadjoin @ X1572 @ emptyset) @ (powerset @ (binunion @ X1570 @ X1571))))&((~(in @ X1575 @ (setadjoin @ X1573 @ (setadjoin @ X1574 @ emptyset)))|(((X1575)=(X1573))|((X1575)=(X1574))))&((~(in @ X1578 @ X1576)|(~(in @ X1579 @ X1577)|(subset @ (setadjoin @ X1578 @ (setadjoin @ X1579 @ emptyset)) @ (binunion @ X1576 @ X1577))))&((~(in @ X1582 @ X1580)|(~(in @ X1583 @ X1581)|(in @ (setadjoin @ X1582 @ (setadjoin @ X1583 @ emptyset)) @ (powerset @ (binunion @ X1580 @ X1581)))))&((~(in @ X1586 @ X1584)|(~(in @ X1587 @ X1585)|(subset @ (setadjoin @ (setadjoin @ X1586 @ emptyset) @ (setadjoin @ (setadjoin @ X1586 @ (setadjoin @ X1587 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1584 @ X1585)))))&((~(in @ X1590 @ X1588)|(~(in @ X1591 @ X1589)|(in @ (setadjoin @ (setadjoin @ X1590 @ emptyset) @ (setadjoin @ (setadjoin @ X1590 @ (setadjoin @ X1591 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1588 @ X1589))))))&((~(in @ X1594 @ X1592)|(~(in @ X1595 @ X1593)|(in @ (kpair @ X1594 @ X1595) @ (powerset @ (powerset @ (binunion @ X1592 @ X1593))))))&((~(in @ X1598 @ X1596)|(~(in @ X1599 @ X1597)|(in @ (kpair @ X1598 @ X1599) @ (cartprod @ X1596 @ X1597))))&((((in @ (esk55_3 @ X1600 @ X1601 @ X1602) @ X1600)|~(in @ X1602 @ (cartprod @ X1600 @ X1601)))&(((in @ (esk56_3 @ X1600 @ X1601 @ X1602) @ X1601)|~(in @ X1602 @ (cartprod @ X1600 @ X1601)))&(((X1602)=(kpair @ (esk55_3 @ X1600 @ X1601 @ X1602) @ (esk56_3 @ X1600 @ X1601 @ X1602)))|~(in @ X1602 @ (cartprod @ X1600 @ X1601)))))&((~(in @ X1607 @ (cartprod @ X1605 @ X1606))|(iskpair @ X1607))&((((in @ (esk57_2 @ X1608 @ X1609) @ X1608)|~(in @ X1609 @ (setunion @ X1608)))&((in @ X1609 @ (esk57_2 @ X1608 @ X1609))|~(in @ X1609 @ (setunion @ X1608))))&((subset @ (setunion @ (setadjoin @ X1611 @ emptyset)) @ X1611)&((subset @ X1612 @ (setunion @ (setadjoin @ X1612 @ emptyset)))&(((setunion @ (setadjoin @ X1613 @ emptyset))=(X1613))&(((((in @ (esk60_2 @ X1614 @ X1615) @ (dsetconstr @ X1614 @ (^[Z0/* 3 */:$i]:((X1615 @ Z0)))))|(~(in @ X1618 @ X1614)|~(X1615 @ X1618))|(in @ (esk58_2 @ X1614 @ X1615) @ X1614))&(((dsetconstr @ X1614 @ (^[Z0/* 3 */:$i]:((X1615 @ Z0))))=(setadjoin @ (esk60_2 @ X1614 @ X1615) @ emptyset))|(~(in @ X1618 @ X1614)|~(X1615 @ X1618))|(in @ (esk58_2 @ X1614 @ X1615) @ X1614)))&((((in @ (esk60_2 @ X1614 @ X1615) @ (dsetconstr @ X1614 @ (^[Z0/* 3 */:$i]:((X1615 @ Z0)))))|(~(in @ X1618 @ X1614)|~(X1615 @ X1618))|(in @ (esk59_2 @ X1614 @ X1615) @ X1614))&(((dsetconstr @ X1614 @ (^[Z0/* 3 */:$i]:((X1615 @ Z0))))=(setadjoin @ (esk60_2 @ X1614 @ X1615) @ emptyset))|(~(in @ X1618 @ X1614)|~(X1615 @ X1618))|(in @ (esk59_2 @ X1614 @ X1615) @ X1614)))&((((in @ (esk60_2 @ X1614 @ X1615) @ (dsetconstr @ X1614 @ (^[Z0/* 3 */:$i]:((X1615 @ Z0)))))|(~(in @ X1618 @ X1614)|~(X1615 @ X1618))|(X1615 @ (esk58_2 @ X1614 @ X1615)))&(((dsetconstr @ X1614 @ (^[Z0/* 3 */:$i]:((X1615 @ Z0))))=(setadjoin @ (esk60_2 @ X1614 @ X1615) @ emptyset))|(~(in @ X1618 @ X1614)|~(X1615 @ X1618))|(X1615 @ (esk58_2 @ X1614 @ X1615))))&((((in @ (esk60_2 @ X1614 @ X1615) @ (dsetconstr @ X1614 @ (^[Z0/* 3 */:$i]:((X1615 @ Z0)))))|(~(in @ X1618 @ X1614)|~(X1615 @ X1618))|(X1615 @ (esk59_2 @ X1614 @ X1615)))&(((dsetconstr @ X1614 @ (^[Z0/* 3 */:$i]:((X1615 @ Z0))))=(setadjoin @ (esk60_2 @ X1614 @ X1615) @ emptyset))|(~(in @ X1618 @ X1614)|~(X1615 @ X1618))|(X1615 @ (esk59_2 @ X1614 @ X1615))))&(((in @ (esk60_2 @ X1614 @ X1615) @ (dsetconstr @ X1614 @ (^[Z0/* 3 */:$i]:((X1615 @ Z0)))))|(~(in @ X1618 @ X1614)|~(X1615 @ X1618))|((esk58_2 @ X1614 @ X1615)!=(esk59_2 @ X1614 @ X1615)))&(((dsetconstr @ X1614 @ (^[Z0/* 3 */:$i]:((X1615 @ Z0))))=(setadjoin @ (esk60_2 @ X1614 @ X1615) @ emptyset))|(~(in @ X1618 @ X1614)|~(X1615 @ X1618))|((esk58_2 @ X1614 @ X1615)!=(esk59_2 @ X1614 @ X1615))))))))&((((in @ (esk61_2 @ X1620 @ X1621) @ X1620)|(~(in @ X1622 @ (dsetconstr @ X1620 @ (^[Z0/* 3 */:$i]:((X1621 @ Z0)))))|((dsetconstr @ X1620 @ (^[Z0/* 3 */:$i]:((X1621 @ Z0))))!=(setadjoin @ X1622 @ emptyset))))&((X1621 @ (esk61_2 @ X1620 @ X1621))|(~(in @ X1622 @ (dsetconstr @ X1620 @ (^[Z0/* 3 */:$i]:((X1621 @ Z0)))))|((dsetconstr @ X1620 @ (^[Z0/* 3 */:$i]:((X1621 @ Z0))))!=(setadjoin @ X1622 @ emptyset)))))&(((((in @ (esk63_3 @ X1624 @ X1625 @ X1626) @ (dsetconstr @ X1624 @ (^[Z0/* 3 */:$i]:((X1625 @ Z0)))))|(in @ (esk62_3 @ X1624 @ X1625 @ X1626) @ X1624)|~(X1625 @ X1626)|~(in @ X1626 @ X1624))&(((dsetconstr @ X1624 @ (^[Z0/* 3 */:$i]:((X1625 @ Z0))))=(setadjoin @ (esk63_3 @ X1624 @ X1625 @ X1626) @ emptyset))|(in @ (esk62_3 @ X1624 @ X1625 @ X1626) @ X1624)|~(X1625 @ X1626)|~(in @ X1626 @ X1624)))&((((in @ (esk63_3 @ X1624 @ X1625 @ X1626) @ (dsetconstr @ X1624 @ (^[Z0/* 3 */:$i]:((X1625 @ Z0)))))|(X1625 @ (esk62_3 @ X1624 @ X1625 @ X1626))|~(X1625 @ X1626)|~(in @ X1626 @ X1624))&(((dsetconstr @ X1624 @ (^[Z0/* 3 */:$i]:((X1625 @ Z0))))=(setadjoin @ (esk63_3 @ X1624 @ X1625 @ X1626) @ emptyset))|(X1625 @ (esk62_3 @ X1624 @ X1625 @ X1626))|~(X1625 @ X1626)|~(in @ X1626 @ X1624)))&(((in @ (esk63_3 @ X1624 @ X1625 @ X1626) @ (dsetconstr @ X1624 @ (^[Z0/* 3 */:$i]:((X1625 @ Z0)))))|((esk62_3 @ X1624 @ X1625 @ X1626)!=(X1626))|~(X1625 @ X1626)|~(in @ X1626 @ X1624))&(((dsetconstr @ X1624 @ (^[Z0/* 3 */:$i]:((X1625 @ Z0))))=(setadjoin @ (esk63_3 @ X1624 @ X1625 @ X1626) @ emptyset))|((esk62_3 @ X1624 @ X1625 @ X1626)!=(X1626))|~(X1625 @ X1626)|~(in @ X1626 @ X1624)))))&(((((in @ (esk66_2 @ X1629 @ X1630) @ (dsetconstr @ X1629 @ (^[Z0/* 3 */:$i]:((X1630 @ Z0)))))|(~(in @ X1633 @ X1629)|~(X1630 @ X1633))|(in @ (esk64_2 @ X1629 @ X1630) @ X1629))&(((dsetconstr @ X1629 @ (^[Z0/* 3 */:$i]:((X1630 @ Z0))))=(setadjoin @ (esk66_2 @ X1629 @ X1630) @ emptyset))|(~(in @ X1633 @ X1629)|~(X1630 @ X1633))|(in @ (esk64_2 @ X1629 @ X1630) @ X1629)))&((((in @ (esk66_2 @ X1629 @ X1630) @ (dsetconstr @ X1629 @ (^[Z0/* 3 */:$i]:((X1630 @ Z0)))))|(~(in @ X1633 @ X1629)|~(X1630 @ X1633))|(in @ (esk65_2 @ X1629 @ X1630) @ X1629))&(((dsetconstr @ X1629 @ (^[Z0/* 3 */:$i]:((X1630 @ Z0))))=(setadjoin @ (esk66_2 @ X1629 @ X1630) @ emptyset))|(~(in @ X1633 @ X1629)|~(X1630 @ X1633))|(in @ (esk65_2 @ X1629 @ X1630) @ X1629)))&((((in @ (esk66_2 @ X1629 @ X1630) @ (dsetconstr @ X1629 @ (^[Z0/* 3 */:$i]:((X1630 @ Z0)))))|(~(in @ X1633 @ X1629)|~(X1630 @ X1633))|(X1630 @ (esk64_2 @ X1629 @ X1630)))&(((dsetconstr @ X1629 @ (^[Z0/* 3 */:$i]:((X1630 @ Z0))))=(setadjoin @ (esk66_2 @ X1629 @ X1630) @ emptyset))|(~(in @ X1633 @ X1629)|~(X1630 @ X1633))|(X1630 @ (esk64_2 @ X1629 @ X1630))))&((((in @ (esk66_2 @ X1629 @ X1630) @ (dsetconstr @ X1629 @ (^[Z0/* 3 */:$i]:((X1630 @ Z0)))))|(~(in @ X1633 @ X1629)|~(X1630 @ X1633))|(X1630 @ (esk65_2 @ X1629 @ X1630)))&(((dsetconstr @ X1629 @ (^[Z0/* 3 */:$i]:((X1630 @ Z0))))=(setadjoin @ (esk66_2 @ X1629 @ X1630) @ emptyset))|(~(in @ X1633 @ X1629)|~(X1630 @ X1633))|(X1630 @ (esk65_2 @ X1629 @ X1630))))&(((in @ (esk66_2 @ X1629 @ X1630) @ (dsetconstr @ X1629 @ (^[Z0/* 3 */:$i]:((X1630 @ Z0)))))|(~(in @ X1633 @ X1629)|~(X1630 @ X1633))|((esk64_2 @ X1629 @ X1630)!=(esk65_2 @ X1629 @ X1630)))&(((dsetconstr @ X1629 @ (^[Z0/* 3 */:$i]:((X1630 @ Z0))))=(setadjoin @ (esk66_2 @ X1629 @ X1630) @ emptyset))|(~(in @ X1633 @ X1629)|~(X1630 @ X1633))|((esk64_2 @ X1629 @ X1630)!=(esk65_2 @ X1629 @ X1630))))))))&((((setadjoin @ X1635 @ emptyset)!=(setadjoin @ X1636 @ emptyset))|((X1635)=(X1636)))&((~(in @ (setadjoin @ X1639 @ emptyset) @ (setadjoin @ (setadjoin @ X1637 @ emptyset) @ (setadjoin @ (setadjoin @ X1637 @ (setadjoin @ X1638 @ emptyset)) @ emptyset)))|((X1637)=(X1639)))&((((in @ (esk67_1 @ X1640) @ (dsetconstr @ (setunion @ X1640) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1640)))))|~(iskpair @ X1640))&(((dsetconstr @ (setunion @ X1640) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1640))))=(setadjoin @ (esk67_1 @ X1640) @ emptyset))|~(iskpair @ X1640)))&((~(in @ X1643 @ X1642)|((X1642)!=(setadjoin @ X1643 @ emptyset))|(in @ (setunion @ X1642) @ X1642))&(((kfst @ (kpair @ X1644 @ X1645))=(X1644))&((~(in @ X1648 @ (cartprod @ X1646 @ X1647))|(in @ (kfst @ X1648) @ X1646))&((((setadjoin @ (setadjoin @ X1649 @ emptyset) @ (setadjoin @ (setadjoin @ X1649 @ (setadjoin @ X1650 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1651 @ emptyset) @ (setadjoin @ (setadjoin @ X1651 @ (setadjoin @ X1652 @ emptyset)) @ emptyset)))|((X1649)=(X1651)))&((((kpair @ X1653 @ X1654)!=(kpair @ X1655 @ X1656))|((X1653)=(X1655)))&((((X1657)!=(X1658))|((setadjoin @ X1657 @ (setadjoin @ X1658 @ emptyset))=(setadjoin @ X1657 @ emptyset)))&((((X1659)!=(X1660))|((setadjoin @ (setadjoin @ X1659 @ emptyset) @ (setadjoin @ (setadjoin @ X1659 @ (setadjoin @ X1660 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1659 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X1661 @ emptyset) @ (setadjoin @ (setadjoin @ X1661 @ (setadjoin @ X1662 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1663 @ emptyset) @ (setadjoin @ (setadjoin @ X1663 @ (setadjoin @ X1664 @ emptyset)) @ emptyset)))|(((X1663)!=(X1664))|((X1662)=(X1664))))&((((setadjoin @ X1665 @ (setadjoin @ X1666 @ emptyset))!=(setadjoin @ X1667 @ emptyset))|((X1665)=(X1666)))&((((setadjoin @ (setadjoin @ X1668 @ emptyset) @ (setadjoin @ (setadjoin @ X1668 @ (setadjoin @ X1669 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1670 @ emptyset) @ (setadjoin @ (setadjoin @ X1670 @ (setadjoin @ X1671 @ emptyset)) @ emptyset)))|((X1669)=(X1671)))&((((kpair @ X1672 @ X1673)!=(kpair @ X1674 @ X1675))|((X1673)=(X1675)))&((((in @ (esk68_1 @ X1676) @ (dsetconstr @ (setunion @ X1676) @ (^[Z0/* 3 */:$i]:(((X1676)=(kpair @ (kfst @ X1676) @ Z0))))))|~(iskpair @ X1676))&(((dsetconstr @ (setunion @ X1676) @ (^[Z0/* 3 */:$i]:(((X1676)=(kpair @ (kfst @ X1676) @ Z0)))))=(setadjoin @ (esk68_1 @ X1676) @ emptyset))|~(iskpair @ X1676)))&(((ksnd @ (kpair @ X1678 @ X1679))=(X1679))&((~(iskpair @ X1680)|((kpair @ (kfst @ X1680) @ (ksnd @ X1680))=(X1680)))&((~(in @ X1683 @ (cartprod @ X1681 @ X1682))|(in @ (ksnd @ X1683) @ X1682))&((~(in @ (kpair @ X1686 @ X1687) @ (cartprod @ X1684 @ X1685))|(in @ X1686 @ X1684))&((~(in @ (kpair @ X1690 @ X1691) @ (cartprod @ X1688 @ X1689))|(in @ X1691 @ X1689))&((~(in @ X1694 @ X1692)|(~(in @ X1695 @ X1693)|((kpair @ X1694 @ X1695)=(kpair @ X1694 @ X1695))))&((~(in @ X1698 @ X1696)|(~(in @ X1699 @ X1697)|((kfst @ (kpair @ X1698 @ X1699))=(X1698))))&((~(in @ X1702 @ X1700)|(~(in @ X1703 @ X1701)|((ksnd @ (kpair @ X1702 @ X1703))=(X1703))))&((~(in @ X1706 @ (cartprod @ X1704 @ X1705))|((kpair @ (kfst @ X1706) @ (ksnd @ X1706))=(X1706)))&((~(in @ X1710 @ X1707)|(~(in @ X1711 @ X1708)|(~(X1709 @ X1710 @ X1711)|(in @ (kpair @ X1710 @ X1711) @ (dsetconstr @ (cartprod @ X1707 @ X1708) @ (^[Z0/* 5 */:$i]:(?[X866:$i]:(((in @ X866 @ X1707)&?[X867:$i]:((((in @ X867 @ X1708)&(X1709 @ X866 @ X867))&((Z0)=(kpair @ X866 @ X867)))))))))))))&((subset @ (dsetconstr @ (cartprod @ X1712 @ X1713) @ (^[Z0/* 5 */:$i]:(?[X871:$i]:(((in @ X871 @ X1712)&?[X872:$i]:((((in @ X872 @ X1713)&(X1714 @ X871 @ X872))&((Z0)=(kpair @ X871 @ X872))))))))) @ (cartprod @ X1712 @ X1713))&((subset @ (dsetconstr @ (cartprod @ X1715 @ X1716) @ (^[Z0/* 5 */:$i]:(?[X899:$i]:(((in @ X899 @ X1715)&?[X900:$i]:((((in @ X900 @ X1716)&(X1717 @ X899 @ X900))&((Z0)=(kpair @ X899 @ X900))))))))) @ (cartprod @ X1715 @ X1716))&((~(in @ X1721 @ X1718)|(~(in @ X1722 @ X1719)|(~(in @ (kpair @ X1721 @ X1722) @ (dsetconstr @ (cartprod @ X1718 @ X1719) @ (^[Z0/* 5 */:$i]:(?[X878:$i]:(((in @ X878 @ X1718)&?[X879:$i]:((((in @ X879 @ X1719)&(X1720 @ X878 @ X879))&((Z0)=(kpair @ X878 @ X879))))))))))|(X1720 @ X1721 @ X1722))))&((~(in @ (kpair @ X1726 @ X1727) @ (dsetconstr @ (cartprod @ X1723 @ X1724) @ (^[Z0/* 5 */:$i]:(?[X885:$i]:(((in @ X885 @ X1723)&?[X886:$i]:((((in @ X886 @ X1724)&(X1725 @ X885 @ X886))&((Z0)=(kpair @ X885 @ X886))))))))))|(in @ X1726 @ X1723))&((~(in @ (kpair @ X1731 @ X1732) @ (dsetconstr @ (cartprod @ X1728 @ X1729) @ (^[Z0/* 5 */:$i]:(?[X892:$i]:(((in @ X892 @ X1728)&?[X893:$i]:((((in @ X893 @ X1729)&(X1730 @ X892 @ X893))&((Z0)=(kpair @ X892 @ X893))))))))))|(in @ X1732 @ X1729))&((in @ (kpair @ esk71_0 @ esk72_0) @ (dsetconstr @ (cartprod @ esk69_0 @ esk70_0) @ (^[Z0/* 5 */:$i]:(?[X894:$i]:(((in @ X894 @ esk69_0)&?[X895:$i]:((((in @ X895 @ esk70_0)&(epred2_0 @ X894 @ X895))&((Z0)=(kpair @ X894 @ X895))))))))))&~(epred2_0 @ esk71_0 @ esk72_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_265])])])])])])). 0.54/0.66 thf(c_0_267, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((X1 @ X2)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_266])). 0.54/0.66 thf(c_0_268, negated_conjecture, (in @ (kpair @ esk71_0 @ esk72_0) @ (dsetconstr @ (cartprod @ esk69_0 @ esk70_0) @ (^[Z0/* 5 */:$i]:(?[X1761:$i]:(((in @ X1761 @ esk69_0)&?[X1762:$i]:((((in @ X1762 @ esk70_0)&(epred2_0 @ X1761 @ X1762))&((Z0)=(kpair @ X1761 @ X1762)))))))))), inference(split_conjunct,[status(thm)],[c_0_266])). 0.54/0.66 thf(c_0_269, negated_conjecture, ?[X1763:$i]:(((in @ X1763 @ esk69_0)&?[X1764:$i]:((((in @ X1764 @ esk70_0)&(epred2_0 @ X1763 @ X1764))&((kpair @ esk71_0 @ esk72_0)=(kpair @ X1763 @ X1764)))))), inference(spm,[status(thm)],[c_0_267, c_0_268])). 0.54/0.66 thf(c_0_270, negated_conjecture, ![X3:$i, X2:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2))), inference(split_conjunct,[status(thm)],[c_0_266])). 0.54/0.66 thf(c_0_271, negated_conjecture, ((kpair @ esk71_0 @ esk72_0)=(kpair @ esk78_0 @ esk79_0)), inference(dynamic_cnf,[status(thm)],[c_0_269])). 0.54/0.66 thf(c_0_272, negated_conjecture, ((esk71_0)=(esk78_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270, c_0_271]), c_0_270])). 0.54/0.66 thf(c_0_273, negated_conjecture, ~((epred2_0 @ esk71_0 @ esk72_0)), inference(split_conjunct,[status(thm)],[c_0_266])). 0.54/0.66 thf(c_0_274, negated_conjecture, ![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3))), inference(split_conjunct,[status(thm)],[c_0_266])). 0.54/0.66 thf(c_0_275, negated_conjecture, ((kpair @ esk78_0 @ esk72_0)=(kpair @ esk78_0 @ esk79_0)), inference(rw,[status(thm)],[c_0_271, c_0_272])). 0.54/0.66 thf(c_0_276, negated_conjecture, ~((epred2_0 @ esk78_0 @ esk72_0)), inference(rw,[status(thm)],[c_0_273, c_0_272])). 0.54/0.66 thf(c_0_277, negated_conjecture, ((esk72_0)=(esk79_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274, c_0_275]), c_0_274])). 0.54/0.66 thf(c_0_278, negated_conjecture, (epred2_0 @ esk78_0 @ esk79_0), inference(dynamic_cnf,[status(thm)],[c_0_269])). 0.54/0.66 thf(c_0_279, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_276, c_0_277]), c_0_278])]), ['proof']). 0.54/0.66 # SZS output end CNFRefutation 0.54/0.66 # Parsed axioms : 414 0.54/0.66 # Removed by relevancy pruning/SinE : 0 0.54/0.66 # Initial clauses : 559 0.54/0.66 # Removed in clause preprocessing : 244 0.54/0.66 # Initial clauses in saturation : 315 0.54/0.66 # Processed clauses : 434 0.54/0.66 # ...of these trivial : 9 0.54/0.66 # ...subsumed : 39 0.54/0.66 # ...remaining for further processing : 386 0.54/0.66 # Other redundant clauses eliminated : 25 0.54/0.66 # Clauses deleted for lack of memory : 0 0.54/0.66 # Backward-subsumed : 0 0.54/0.66 # Backward-rewritten : 8 0.54/0.66 # Generated clauses : 230 0.54/0.66 # ...of the previous two non-redundant : 157 0.54/0.66 # ...aggressively subsumed : 0 0.54/0.66 # Contextual simplify-reflections : 2 0.54/0.66 # Paramodulations : 198 0.54/0.66 # Factorizations : 0 0.54/0.66 # NegExts : 0 0.54/0.66 # Equation resolutions : 28 0.54/0.66 # Total rewrite steps : 102 0.54/0.66 # Propositional unsat checks : 0 0.54/0.66 # Propositional check models : 0 0.54/0.66 # Propositional check unsatisfiable : 0 0.54/0.66 # Propositional clauses : 0 0.54/0.66 # Propositional clauses after purity: 0 0.54/0.66 # Propositional unsat core size : 0 0.54/0.66 # Propositional preprocessing time : 0.000 0.54/0.66 # Propositional encoding time : 0.000 0.54/0.66 # Propositional solver time : 0.000 0.54/0.66 # Success case prop preproc time : 0.000 0.54/0.66 # Success case prop encoding time : 0.000 0.54/0.66 # Success case prop solver time : 0.000 0.54/0.66 # Current number of processed clauses : 89 0.54/0.66 # Positive orientable unit clauses : 41 0.54/0.66 # Positive unorientable unit clauses: 0 0.54/0.66 # Negative unit clauses : 1 0.54/0.66 # Non-unit-clauses : 47 0.54/0.66 # Current number of unprocessed clauses: 309 0.54/0.66 # ...number of literals in the above : 948 0.54/0.66 # Current number of archived formulas : 0 0.54/0.66 # Current number of archived clauses : 281 0.54/0.66 # Clause-clause subsumption calls (NU) : 11833 0.54/0.66 # Rec. Clause-clause subsumption calls : 5754 0.54/0.66 # Non-unit clause-clause subsumptions : 31 0.54/0.66 # Unit Clause-clause subsumption calls : 45 0.54/0.66 # Rewrite failures with RHS unbound : 0 0.54/0.66 # BW rewrite match attempts : 18 0.54/0.66 # BW rewrite match successes : 5 0.54/0.66 # Condensation attempts : 434 0.54/0.66 # Condensation successes : 6 0.54/0.66 # Termbank termtop insertions : 53760 0.54/0.66 0.54/0.66 # ------------------------------------------------- 0.54/0.66 # User time : 0.088 s 0.54/0.66 # System time : 0.010 s 0.54/0.66 # Total time : 0.098 s 0.54/0.66 # Maximum resident set size: 6160 pages 1.35/180.08 1.35/180.08 # ------------------------------------------------- 1.35/180.08 # User time : 0.097 s 1.35/180.08 # System time : 0.014 s 1.35/180.08 # Total time : 0.111 s 1.35/180.08 # Maximum resident set size: 2344 pages 1.35/180.08 % E---3.1 exiting 1.35/180.08 EOF