%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU761^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:27:42 AM UTC 2026
% Result : Theorem 2.25s 0.67s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU761^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n002.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 14:25:37 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.20/0.31 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p
% 2.25/0.67 % Version: 3.5.1-ho
% 2.25/0.67 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.25/0.67 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.67 % Starting ehoh_best5 with 300s (1) cores
% 2.25/0.67 % Starting almost_fo_3_lam with 300s (1) cores
% 2.25/0.67 % Starting new_bool_5 with 300s (1) cores
% 2.25/0.67 % Starting pre_casc_3 with 300s (1) cores
% 2.25/0.67 % Starting ho_unfolding_8 with 300s (1) cores
% 2.25/0.67 % Starting new_ho_10_cnf2 with 300s (1) cores
% 2.25/0.67 % Starting new_bool_3 with 300s (1) cores
% 2.25/0.67 % Starting new_ho_5 with 300s (1) cores
% 2.25/0.67 % new_ho_10_cnf2 with pid 1364861 completed with status 0
% 2.25/0.67 % Result found by new_ho_10_cnf2
% 2.25/0.67 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.25/0.67 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.67 % Starting ehoh_best5 with 300s (1) cores
% 2.25/0.67 % Starting almost_fo_3_lam with 300s (1) cores
% 2.25/0.67 % Starting new_bool_5 with 300s (1) cores
% 2.25/0.67 % Starting pre_casc_3 with 300s (1) cores
% 2.25/0.67 % Starting ho_unfolding_8 with 300s (1) cores
% 2.25/0.67 % Starting new_ho_10_cnf2 with 300s (1) cores
% 2.25/0.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.25/0.67 % No SInE strategy applied
% 2.25/0.67 % Search class: HGHSM-FSLM32-MHFMMSBN
% 2.25/0.67 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 2.25/0.67 % Starting SubtermCWHack with 31s (1) cores
% 2.25/0.67 % SubtermCWHack with pid 1364870 completed with status 0
% 2.25/0.67 % Result found by SubtermCWHack
% 2.25/0.67 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.25/0.67 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.67 % Starting ehoh_best5 with 300s (1) cores
% 2.25/0.67 % Starting almost_fo_3_lam with 300s (1) cores
% 2.25/0.67 % Starting new_bool_5 with 300s (1) cores
% 2.25/0.67 % Starting pre_casc_3 with 300s (1) cores
% 2.25/0.67 % Starting ho_unfolding_8 with 300s (1) cores
% 2.25/0.67 % Starting new_ho_10_cnf2 with 300s (1) cores
% 2.25/0.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.25/0.67 % No SInE strategy applied
% 2.25/0.67 % Search class: HGHSM-FSLM32-MHFMMSBN
% 2.25/0.67 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 2.25/0.67 % Starting SubtermCWHack with 31s (1) cores
% 2.25/0.67 % Preprocessing time : 0.005 s
% 2.25/0.67
% 2.25/0.67 % Proof found!
% 2.25/0.67 % SZS status Theorem
% 2.25/0.67 % SZS output start CNFRefutation
% 2.25/0.67 thf(decl_23, type, in: $i > $i > $o).
% 2.25/0.67 thf(decl_24, type, exu: ($i > $o) > $o).
% 2.25/0.67 thf(decl_25, type, setextAx: $o).
% 2.25/0.67 thf(decl_26, type, emptyset: $i).
% 2.25/0.67 thf(decl_27, type, emptysetAx: $o).
% 2.25/0.67 thf(decl_28, type, setadjoin: $i > $i > $i).
% 2.25/0.67 thf(decl_29, type, setadjoinAx: $o).
% 2.25/0.67 thf(decl_30, type, powerset: $i > $i).
% 2.25/0.67 thf(decl_31, type, powersetAx: $o).
% 2.25/0.67 thf(decl_32, type, setunion: $i > $i).
% 2.25/0.67 thf(decl_33, type, setunionAx: $o).
% 2.25/0.67 thf(decl_34, type, omega: $i).
% 2.25/0.67 thf(decl_35, type, omega0Ax: $o).
% 2.25/0.67 thf(decl_36, type, omegaSAx: $o).
% 2.25/0.67 thf(decl_37, type, omegaIndAx: $o).
% 2.25/0.67 thf(decl_38, type, replAx: $o).
% 2.25/0.67 thf(decl_39, type, foundationAx: $o).
% 2.25/0.67 thf(decl_40, type, wellorderingAx: $o).
% 2.25/0.67 thf(decl_41, type, descr: ($i > $o) > $i).
% 2.25/0.67 thf(decl_42, type, descrp: $o).
% 2.25/0.67 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_44, type, dsetconstrI: $o).
% 2.25/0.67 thf(decl_45, type, dsetconstrEL: $o).
% 2.25/0.67 thf(decl_46, type, dsetconstrER: $o).
% 2.25/0.67 thf(decl_47, type, exuE1: $o).
% 2.25/0.67 thf(decl_48, type, prop2set: $o > $i).
% 2.25/0.67 thf(decl_49, type, prop2setE: $o).
% 2.25/0.67 thf(decl_50, type, emptysetE: $o).
% 2.25/0.67 thf(decl_51, type, emptysetimpfalse: $o).
% 2.25/0.67 thf(decl_52, type, notinemptyset: $o).
% 2.25/0.67 thf(decl_53, type, exuE3e: $o).
% 2.25/0.67 thf(decl_54, type, setext: $o).
% 2.25/0.67 thf(decl_55, type, emptyI: $o).
% 2.25/0.67 thf(decl_56, type, noeltsimpempty: $o).
% 2.25/0.67 thf(decl_57, type, setbeta: $o).
% 2.25/0.67 thf(decl_58, type, nonempty: $i > $o).
% 2.25/0.67 thf(decl_59, type, nonemptyE1: $o).
% 2.25/0.67 thf(decl_60, type, nonemptyI: $o).
% 2.25/0.67 thf(decl_61, type, nonemptyI1: $o).
% 2.25/0.67 thf(decl_62, type, setadjoinIL: $o).
% 2.25/0.67 thf(decl_63, type, emptyinunitempty: $o).
% 2.25/0.67 thf(decl_64, type, setadjoinIR: $o).
% 2.25/0.67 thf(decl_65, type, setadjoinE: $o).
% 2.25/0.67 thf(decl_66, type, setadjoinOr: $o).
% 2.25/0.67 thf(decl_67, type, setoftrueEq: $o).
% 2.25/0.67 thf(decl_68, type, powersetI: $o).
% 2.25/0.67 thf(decl_69, type, emptyinPowerset: $o).
% 2.25/0.67 thf(decl_70, type, emptyInPowerset: $o).
% 2.25/0.67 thf(decl_71, type, powersetE: $o).
% 2.25/0.67 thf(decl_72, type, setunionI: $o).
% 2.25/0.67 thf(decl_73, type, setunionE: $o).
% 2.25/0.67 thf(decl_74, type, subPowSU: $o).
% 2.25/0.67 thf(decl_75, type, exuE2: $o).
% 2.25/0.67 thf(decl_76, type, nonemptyImpWitness: $o).
% 2.25/0.67 thf(decl_77, type, uniqinunit: $o).
% 2.25/0.67 thf(decl_78, type, notinsingleton: $o).
% 2.25/0.67 thf(decl_79, type, eqinunit: $o).
% 2.25/0.67 thf(decl_80, type, singletonsswitch: $o).
% 2.25/0.67 thf(decl_81, type, upairsetE: $o).
% 2.25/0.67 thf(decl_82, type, upairsetIL: $o).
% 2.25/0.67 thf(decl_83, type, upairsetIR: $o).
% 2.25/0.67 thf(decl_84, type, emptyE1: $o).
% 2.25/0.67 thf(decl_85, type, vacuousDall: $o).
% 2.25/0.67 thf(decl_86, type, quantDeMorgan1: $o).
% 2.25/0.67 thf(decl_87, type, quantDeMorgan2: $o).
% 2.25/0.67 thf(decl_88, type, quantDeMorgan3: $o).
% 2.25/0.67 thf(decl_89, type, quantDeMorgan4: $o).
% 2.25/0.67 thf(decl_90, type, prop2setI: $o).
% 2.25/0.67 thf(decl_91, type, set2prop: $i > $o).
% 2.25/0.67 thf(decl_92, type, prop2set2propI: $o).
% 2.25/0.67 thf(decl_93, type, notdexE: $o).
% 2.25/0.67 thf(decl_94, type, notdallE: $o).
% 2.25/0.67 thf(decl_95, type, exuI1: $o).
% 2.25/0.67 thf(decl_96, type, exuI3: $o).
% 2.25/0.67 thf(decl_97, type, exuI2: $o).
% 2.25/0.67 thf(decl_98, type, inCongP: $o).
% 2.25/0.67 thf(decl_99, type, in__Cong: $o).
% 2.25/0.67 thf(decl_100, type, exuE3u: $o).
% 2.25/0.67 thf(decl_101, type, exu__Cong: $o).
% 2.25/0.67 thf(decl_102, type, emptyset__Cong: $o).
% 2.25/0.67 thf(decl_103, type, setadjoin__Cong: $o).
% 2.25/0.67 thf(decl_104, type, powerset__Cong: $o).
% 2.25/0.67 thf(decl_105, type, setunion__Cong: $o).
% 2.25/0.67 thf(decl_106, type, omega__Cong: $o).
% 2.25/0.67 thf(decl_107, type, exuEu: $o).
% 2.25/0.67 thf(decl_108, type, descr__Cong: $o).
% 2.25/0.67 thf(decl_109, type, dsetconstr__Cong: $o).
% 2.25/0.67 thf(decl_110, type, subset: $i > $i > $o).
% 2.25/0.67 thf(decl_113, type, subsetI1: $o).
% 2.25/0.67 thf(decl_114, type, eqimpsubset2: $o).
% 2.25/0.67 thf(decl_115, type, eqimpsubset1: $o).
% 2.25/0.67 thf(decl_116, type, subsetI2: $o).
% 2.25/0.67 thf(decl_117, type, emptysetsubset: $o).
% 2.25/0.67 thf(decl_118, type, subsetE: $o).
% 2.25/0.67 thf(decl_119, type, subsetE2: $o).
% 2.25/0.67 thf(decl_120, type, notsubsetI: $o).
% 2.25/0.67 thf(decl_121, type, notequalI1: $o).
% 2.25/0.67 thf(decl_122, type, notequalI2: $o).
% 2.25/0.67 thf(decl_123, type, subsetRefl: $o).
% 2.25/0.67 thf(decl_124, type, subsetTrans: $o).
% 2.25/0.67 thf(decl_125, type, setadjoinSub: $o).
% 2.25/0.67 thf(decl_126, type, setadjoinSub2: $o).
% 2.25/0.67 thf(decl_127, type, subset2powerset: $o).
% 2.25/0.67 thf(decl_128, type, setextsub: $o).
% 2.25/0.67 thf(decl_129, type, subsetemptysetimpeq: $o).
% 2.25/0.67 thf(decl_130, type, powersetI1: $o).
% 2.25/0.67 thf(decl_131, type, powersetE1: $o).
% 2.25/0.67 thf(decl_132, type, inPowerset: $o).
% 2.25/0.67 thf(decl_133, type, powersetsubset: $o).
% 2.25/0.67 thf(decl_134, type, sepInPowerset: $o).
% 2.25/0.67 thf(decl_135, type, sepSubset: $o).
% 2.25/0.67 thf(decl_136, type, binunion: $i > $i > $i).
% 2.25/0.67 thf(decl_137, type, binunionIL: $o).
% 2.25/0.67 thf(decl_138, type, upairset2IR: $o).
% 2.25/0.67 thf(decl_139, type, binunionIR: $o).
% 2.25/0.67 thf(decl_140, type, binunionEcases: $o).
% 2.25/0.67 thf(decl_141, type, binunionE: $o).
% 2.25/0.67 thf(decl_142, type, binunionLsub: $o).
% 2.25/0.67 thf(decl_143, type, binunionRsub: $o).
% 2.25/0.67 thf(decl_144, type, binintersect: $i > $i > $i).
% 2.25/0.67 thf(decl_145, type, binintersectI: $o).
% 2.25/0.67 thf(decl_146, type, binintersectSubset5: $o).
% 2.25/0.67 thf(decl_147, type, binintersectEL: $o).
% 2.25/0.67 thf(decl_148, type, binintersectLsub: $o).
% 2.25/0.67 thf(decl_149, type, binintersectSubset2: $o).
% 2.25/0.67 thf(decl_150, type, binintersectSubset3: $o).
% 2.25/0.67 thf(decl_151, type, binintersectER: $o).
% 2.25/0.67 thf(decl_152, type, disjointsetsI1: $o).
% 2.25/0.67 thf(decl_153, type, binintersectRsub: $o).
% 2.25/0.67 thf(decl_154, type, binintersectSubset4: $o).
% 2.25/0.67 thf(decl_155, type, binintersectSubset1: $o).
% 2.25/0.67 thf(decl_156, type, bs114d: $o).
% 2.25/0.67 thf(decl_158, type, setminus: $i > $i > $i).
% 2.25/0.67 thf(decl_159, type, setminusI: $o).
% 2.25/0.67 thf(decl_160, type, setminusEL: $o).
% 2.25/0.67 thf(decl_161, type, setminusER: $o).
% 2.25/0.67 thf(decl_162, type, setminusSubset2: $o).
% 2.25/0.67 thf(decl_163, type, setminusERneg: $o).
% 2.25/0.67 thf(decl_164, type, setminusELneg: $o).
% 2.25/0.67 thf(decl_165, type, setminusILneg: $o).
% 2.25/0.67 thf(decl_166, type, setminusIRneg: $o).
% 2.25/0.67 thf(decl_167, type, setminusLsub: $o).
% 2.25/0.67 thf(decl_168, type, setminusSubset1: $o).
% 2.25/0.67 thf(decl_169, type, symdiff: $i > $i > $i).
% 2.25/0.67 thf(decl_170, type, symdiffE: $o).
% 2.25/0.67 thf(decl_171, type, symdiffI1: $o).
% 2.25/0.67 thf(decl_172, type, symdiffI2: $o).
% 2.25/0.67 thf(decl_173, type, symdiffIneg1: $o).
% 2.25/0.67 thf(decl_174, type, symdiffIneg2: $o).
% 2.25/0.67 thf(decl_175, type, iskpair: $i > $o).
% 2.25/0.67 thf(decl_176, type, secondinupair: $o).
% 2.25/0.67 thf(decl_177, type, setukpairIL: $o).
% 2.25/0.67 thf(decl_178, type, setukpairIR: $o).
% 2.25/0.67 thf(decl_179, type, kpairiskpair: $o).
% 2.25/0.67 thf(decl_180, type, kpair: $i > $i > $i).
% 2.25/0.67 thf(decl_181, type, kpairp: $o).
% 2.25/0.67 thf(decl_182, type, cartprod: $i > $i > $i).
% 2.25/0.67 thf(decl_183, type, singletonsubset: $o).
% 2.25/0.67 thf(decl_184, type, singletoninpowerset: $o).
% 2.25/0.67 thf(decl_185, type, singletoninpowunion: $o).
% 2.25/0.67 thf(decl_186, type, upairset2E: $o).
% 2.25/0.67 thf(decl_187, type, upairsubunion: $o).
% 2.25/0.67 thf(decl_188, type, upairinpowunion: $o).
% 2.25/0.67 thf(decl_189, type, ubforcartprodlem1: $o).
% 2.25/0.67 thf(decl_190, type, ubforcartprodlem2: $o).
% 2.25/0.67 thf(decl_191, type, ubforcartprodlem3: $o).
% 2.25/0.67 thf(decl_192, type, cartprodpairin: $o).
% 2.25/0.67 thf(decl_193, type, cartprodmempair1: $o).
% 2.25/0.67 thf(decl_194, type, cartprodmempair: $o).
% 2.25/0.67 thf(decl_195, type, setunionE2: $o).
% 2.25/0.67 thf(decl_196, type, setunionsingleton1: $o).
% 2.25/0.67 thf(decl_197, type, setunionsingleton2: $o).
% 2.25/0.67 thf(decl_198, type, setunionsingleton: $o).
% 2.25/0.67 thf(decl_199, type, singleton: $i > $o).
% 2.25/0.67 thf(decl_200, type, singletonprop: $o).
% 2.25/0.67 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 2.25/0.67 thf(decl_202, type, ex1E1: $o).
% 2.25/0.67 thf(decl_203, type, ex1I: $o).
% 2.25/0.67 thf(decl_204, type, ex1I2: $o).
% 2.25/0.67 thf(decl_205, type, singletonsuniq: $o).
% 2.25/0.67 thf(decl_210, type, setukpairinjL1: $o).
% 2.25/0.67 thf(decl_211, type, kfstsingleton: $o).
% 2.25/0.67 thf(decl_212, type, theprop: $o).
% 2.25/0.67 thf(decl_213, type, kfst: $i > $i).
% 2.25/0.67 thf(decl_214, type, kfstpairEq: $o).
% 2.25/0.67 thf(decl_215, type, cartprodfstin: $o).
% 2.25/0.67 thf(decl_216, type, setukpairinjL2: $o).
% 2.25/0.67 thf(decl_217, type, setukpairinjL: $o).
% 2.25/0.67 thf(decl_218, type, setukpairinjR11: $o).
% 2.25/0.67 thf(decl_219, type, setukpairinjR12: $o).
% 2.25/0.67 thf(decl_220, type, setukpairinjR1: $o).
% 2.25/0.67 thf(decl_221, type, upairequniteq: $o).
% 2.25/0.67 thf(decl_222, type, setukpairinjR2: $o).
% 2.25/0.67 thf(decl_223, type, setukpairinjR: $o).
% 2.25/0.67 thf(decl_224, type, ksndsingleton: $o).
% 2.25/0.67 thf(decl_225, type, ksnd: $i > $i).
% 2.25/0.67 thf(decl_226, type, ksndpairEq: $o).
% 2.25/0.67 thf(decl_227, type, kpairsurjEq: $o).
% 2.25/0.67 thf(decl_228, type, cartprodsndin: $o).
% 2.25/0.67 thf(decl_229, type, cartprodpairmemEL: $o).
% 2.25/0.67 thf(decl_230, type, cartprodpairmemER: $o).
% 2.25/0.67 thf(decl_231, type, cartprodmempaircEq: $o).
% 2.25/0.67 thf(decl_232, type, cartprodfstpairEq: $o).
% 2.25/0.67 thf(decl_233, type, cartprodsndpairEq: $o).
% 2.25/0.67 thf(decl_234, type, cartprodpairsurjEq: $o).
% 2.25/0.67 thf(decl_235, type, breln: $i > $i > $i > $o).
% 2.25/0.67 thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 2.25/0.67 thf(decl_237, type, dpsetconstrI: $o).
% 2.25/0.67 thf(decl_238, type, dpsetconstrSub: $o).
% 2.25/0.67 thf(decl_239, type, setOfPairsIsBReln: $o).
% 2.25/0.67 thf(decl_240, type, dpsetconstrERa: $o).
% 2.25/0.67 thf(decl_241, type, dpsetconstrEL1: $o).
% 2.25/0.67 thf(decl_242, type, dpsetconstrEL2: $o).
% 2.25/0.67 thf(decl_243, type, dpsetconstrER: $o).
% 2.25/0.67 thf(decl_244, type, func: $i > $i > $i > $o).
% 2.25/0.67 thf(decl_245, type, funcSet: $i > $i > $i).
% 2.25/0.67 thf(decl_246, type, funcImageSingleton: $o).
% 2.25/0.67 thf(decl_247, type, apProp: $o).
% 2.25/0.67 thf(decl_248, type, ap: $i > $i > $i > $i > $i).
% 2.25/0.67 thf(decl_249, type, app: $o).
% 2.25/0.67 thf(decl_250, type, infuncsetfunc: $o).
% 2.25/0.67 thf(decl_251, type, ap2p: $o).
% 2.25/0.67 thf(decl_252, type, funcinfuncset: $o).
% 2.25/0.67 thf(decl_253, type, lamProp: $o).
% 2.25/0.67 thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
% 2.25/0.67 thf(decl_255, type, lamp: $o).
% 2.25/0.67 thf(decl_256, type, lam2p: $o).
% 2.25/0.67 thf(decl_257, type, brelnall1: $o).
% 2.25/0.67 thf(decl_258, type, brelnall2: $o).
% 2.25/0.67 thf(decl_259, type, ex1E2: $o).
% 2.25/0.67 thf(decl_260, type, funcGraphProp1: $o).
% 2.25/0.67 thf(decl_261, type, funcGraphProp3: $o).
% 2.25/0.67 thf(decl_262, type, funcGraphProp2: $o).
% 2.25/0.67 thf(decl_263, type, funcextLem: $o).
% 2.25/0.67 thf(decl_264, type, funcGraphProp4: $o).
% 2.25/0.67 thf(decl_265, type, subbreln: $o).
% 2.25/0.67 thf(decl_266, type, eqbreln: $o).
% 2.25/0.67 thf(decl_267, type, funcext: $o).
% 2.25/0.67 thf(decl_268, type, funcext2: $o).
% 2.25/0.67 thf(decl_269, type, ap2apEq1: $o).
% 2.25/0.67 thf(decl_270, type, ap2apEq2: $o).
% 2.25/0.67 thf(decl_271, type, beta1: $o).
% 2.25/0.67 thf(decl_272, type, eta1: $o).
% 2.25/0.67 thf(decl_273, type, lam2lamEq: $o).
% 2.25/0.67 thf(decl_274, type, beta2: $o).
% 2.25/0.67 thf(decl_275, type, eta2: $o).
% 2.25/0.67 thf(decl_276, type, iffalseProp1: $o).
% 2.25/0.67 thf(decl_277, type, iffalseProp2: $o).
% 2.25/0.67 thf(decl_278, type, iftrueProp1: $o).
% 2.25/0.67 thf(decl_279, type, iftrueProp2: $o).
% 2.25/0.67 thf(decl_280, type, ifSingleton: $o).
% 2.25/0.67 thf(decl_281, type, if: $i > $o > $i > $i > $i).
% 2.25/0.67 thf(decl_282, type, ifp: $o).
% 2.25/0.67 thf(decl_283, type, theeq: $o).
% 2.25/0.67 thf(decl_284, type, iftrue: $o).
% 2.25/0.67 thf(decl_285, type, iffalse: $o).
% 2.25/0.67 thf(decl_286, type, iftrueorfalse: $o).
% 2.25/0.67 thf(decl_287, type, binintersectT_lem: $o).
% 2.25/0.67 thf(decl_288, type, binunionT_lem: $o).
% 2.25/0.67 thf(decl_289, type, powersetT_lem: $o).
% 2.25/0.67 thf(decl_290, type, setminusT_lem: $o).
% 2.25/0.67 thf(decl_291, type, complementT_lem: $o).
% 2.25/0.67 thf(decl_292, type, setextT: $o).
% 2.25/0.67 thf(decl_293, type, subsetTI: $o).
% 2.25/0.67 thf(decl_294, type, powersetTI1: $o).
% 2.25/0.67 thf(decl_295, type, powersetTE1: $o).
% 2.25/0.67 thf(decl_296, type, complementTI1: $o).
% 2.25/0.67 thf(decl_297, type, complementTE1: $o).
% 2.25/0.67 thf(decl_298, type, binintersectTELcontra: $o).
% 2.25/0.67 thf(decl_299, type, binintersectTERcontra: $o).
% 2.25/0.67 thf(decl_300, type, contrasubsetT: $o).
% 2.25/0.67 thf(decl_301, type, contrasubsetT1: $o).
% 2.25/0.67 thf(decl_302, type, contrasubsetT2: $o).
% 2.25/0.67 thf(decl_303, type, contrasubsetT3: $o).
% 2.25/0.67 thf(decl_304, type, doubleComplementI1: $o).
% 2.25/0.67 thf(decl_305, type, doubleComplementE1: $o).
% 2.25/0.67 thf(decl_306, type, doubleComplementSub1: $o).
% 2.25/0.67 thf(decl_307, type, doubleComplementSub2: $o).
% 2.25/0.67 thf(decl_308, type, doubleComplementEq: $o).
% 2.25/0.67 thf(decl_309, type, complementTnotintersectT: $o).
% 2.25/0.67 thf(decl_310, type, complementImpComplementIntersect: $o).
% 2.25/0.67 thf(decl_311, type, complementSubsetComplementIntersect: $o).
% 2.25/0.67 thf(decl_312, type, complementInPowersetComplementIntersect: $o).
% 2.25/0.67 thf(decl_313, type, contraSubsetComplement: $o).
% 2.25/0.67 thf(decl_314, type, complementTcontraSubset: $o).
% 2.25/0.67 thf(decl_315, type, binunionTILcontra: $o).
% 2.25/0.67 thf(decl_316, type, binunionTIRcontra: $o).
% 2.25/0.67 thf(decl_317, type, inIntersectImpInUnion: $o).
% 2.25/0.67 thf(decl_318, type, inIntersectImpInUnion2: $o).
% 2.25/0.67 thf(decl_319, type, inIntersectImpInIntersectUnions: $o).
% 2.25/0.67 thf(decl_320, type, intersectInPowersetIntersectUnions: $o).
% 2.25/0.67 thf(decl_321, type, inComplementUnionImpNotIn1: $o).
% 2.25/0.67 thf(decl_322, type, inComplementUnionImpInComplement1: $o).
% 2.25/0.67 thf(decl_323, type, binunionTE: $o).
% 2.25/0.67 thf(decl_324, type, binunionTEcontra: $o).
% 2.25/0.67 thf(decl_325, type, demorgan2a1: $o).
% 2.25/0.67 thf(decl_326, type, complementUnionInPowersetComplement: $o).
% 2.25/0.67 thf(decl_327, type, demorgan2a2: $o).
% 2.25/0.67 thf(decl_328, type, demorgan1a: $o).
% 2.25/0.67 thf(decl_329, type, demorgan1b: $o).
% 2.25/0.67 thf(decl_330, type, demorgan1: $o).
% 2.25/0.67 thf(decl_331, type, demorgan2a: $o).
% 2.25/0.67 thf(decl_332, type, demorgan2b2: $o).
% 2.25/0.67 thf(decl_333, type, demorgan2b: $o).
% 2.25/0.67 thf(decl_334, type, demorgan2: $o).
% 2.25/0.67 thf(decl_335, type, woz13rule0: $o).
% 2.25/0.67 thf(decl_336, type, woz13rule1: $o).
% 2.25/0.67 thf(decl_337, type, woz13rule2: $o).
% 2.25/0.67 thf(decl_338, type, epred1_0: $o).
% 2.25/0.67 thf(decl_339, type, esk1_2: $i > $i > $i).
% 2.25/0.67 thf(decl_340, type, esk2_2: $i > $i > $i).
% 2.25/0.67 thf(decl_341, type, esk3_2: $i > $i > $i).
% 2.25/0.67 thf(decl_342, type, esk4_1: $i > $i).
% 2.25/0.67 thf(decl_343, type, esk5_2: ($i > $i > $o) > $i > $i).
% 2.25/0.67 thf(decl_344, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 2.25/0.67 thf(decl_345, type, esk7_2: ($i > $i > $o) > $i > $i).
% 2.25/0.67 thf(decl_346, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 2.25/0.67 thf(decl_347, type, esk9_1: $i > $i).
% 2.25/0.67 thf(decl_348, type, esk10_2: ($i > $o) > $i > $i).
% 2.25/0.67 thf(decl_349, type, esk11_2: ($i > $o) > $i > $i).
% 2.25/0.67 thf(decl_350, type, esk12_1: ($i > $o) > $i).
% 2.25/0.67 thf(decl_351, type, esk13_2: ($i > $o) > $i > $i).
% 2.25/0.67 thf(decl_352, type, esk14_1: ($i > $o) > $i).
% 2.25/0.67 thf(decl_353, type, esk15_2: $i > $i > $i).
% 2.25/0.67 thf(decl_354, type, esk16_2: $i > $i > $i).
% 2.25/0.67 thf(decl_355, type, esk17_1: $i > $i).
% 2.25/0.67 thf(decl_356, type, esk18_1: $i > $i).
% 2.25/0.67 thf(decl_357, type, esk19_1: $i > $i).
% 2.25/0.67 thf(decl_358, type, esk20_2: $i > $i > $i).
% 2.25/0.67 thf(decl_359, type, esk21_3: $i > $i > $o > $i).
% 2.25/0.67 thf(decl_360, type, esk22_2: ($i > $o) > $i > $i).
% 2.25/0.67 thf(decl_361, type, esk23_1: ($i > $o) > $i).
% 2.25/0.67 thf(decl_362, type, esk24_1: $i > $i).
% 2.25/0.67 thf(decl_363, type, esk25_2: $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_364, type, esk26_2: $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_365, type, esk27_2: $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_366, type, esk28_2: $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_367, type, esk29_2: $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_368, type, esk30_2: $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_369, type, esk31_2: ($i > $o) > $i > $i).
% 2.25/0.67 thf(decl_370, type, esk32_1: ($i > $o) > $i).
% 2.25/0.67 thf(decl_371, type, esk33_1: ($i > $o) > $i).
% 2.25/0.67 thf(decl_372, type, esk34_1: ($i > $o) > $i).
% 2.25/0.67 thf(decl_373, type, esk35_1: ($i > $o) > $i).
% 2.25/0.67 thf(decl_374, type, esk36_2: ($i > $o) > $i > $i).
% 2.25/0.67 thf(decl_375, type, esk37_1: ($i > $o) > $i).
% 2.25/0.67 thf(decl_376, type, esk38_2: ($i > $o) > $i > $i).
% 2.25/0.67 thf(decl_377, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 2.25/0.67 thf(decl_378, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 2.25/0.67 thf(decl_379, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.25/0.67 thf(decl_380, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 2.25/0.67 thf(decl_381, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.25/0.67 thf(decl_382, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 2.25/0.67 thf(decl_383, type, esk45_2: ($i > $o) > $i > $i).
% 2.25/0.67 thf(decl_384, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 2.25/0.67 thf(decl_385, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 2.25/0.67 thf(decl_386, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.25/0.67 thf(decl_387, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.25/0.67 thf(decl_388, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 2.25/0.67 thf(decl_389, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 2.25/0.67 thf(decl_390, type, esk52_2: $i > $i > $i).
% 2.25/0.67 thf(decl_391, type, esk53_2: $i > $i > $i).
% 2.25/0.67 thf(decl_392, type, esk54_2: $i > $i > $i).
% 2.25/0.67 thf(decl_393, type, esk55_3: $i > $i > $i > $i).
% 2.25/0.67 thf(decl_394, type, esk56_3: $i > $i > $i > $i).
% 2.25/0.67 thf(decl_395, type, esk57_2: $i > $i > $i).
% 2.25/0.67 thf(decl_396, type, esk58_2: $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_397, type, esk59_2: $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_398, type, esk60_2: $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_399, type, esk61_3: $i > ($i > $o) > $i > $i).
% 2.25/0.67 thf(decl_400, type, esk62_2: $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_401, type, esk63_2: $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_402, type, esk64_3: $i > $i > ($i > $i) > $i).
% 2.25/0.67 thf(decl_403, type, esk65_3: $i > $i > ($i > $i) > $i).
% 2.25/0.67 thf(decl_404, type, esk66_3: $i > $i > ($i > $i) > $i).
% 2.25/0.67 thf(decl_405, type, esk67_4: $i > $i > $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_406, type, esk68_4: $i > $i > $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_407, type, esk69_4: $i > $i > $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_408, type, esk70_4: $i > $i > $i > ($i > $o) > $i).
% 2.25/0.67 thf(decl_409, type, esk71_4: $i > $i > $i > $i > $i).
% 2.25/0.67 thf(decl_410, type, esk72_4: $i > $i > $i > $i > $i).
% 2.25/0.67 thf(decl_411, type, esk73_4: $i > $i > $i > $i > $i).
% 2.25/0.67 thf(decl_412, type, esk74_4: $i > $i > $i > $i > $i).
% 2.25/0.67 thf(decl_413, type, esk75_4: $i > $i > $i > $i > $i).
% 2.25/0.67 thf(decl_414, type, esk76_4: $i > $i > $i > $i > $i).
% 2.25/0.67 thf(decl_415, type, esk77_4: $i > $i > $i > $i > $i).
% 2.25/0.67 thf(decl_416, type, esk78_4: $i > $i > $i > $i > $i).
% 2.25/0.67 thf(decl_417, type, esk79_4: $i > $i > $i > $i > $i).
% 2.25/0.67 thf(decl_418, type, esk80_3: $i > $i > ($i > $i) > $i).
% 2.25/0.67 thf(decl_419, type, esk81_3: $i > $i > ($i > $i) > $i).
% 2.25/0.67 thf(decl_420, type, esk82_3: $i > $i > ($i > $i) > $i).
% 2.25/0.67 thf(decl_421, type, esk83_3: $i > $i > $i > $i).
% 2.25/0.67 thf(decl_422, type, esk84_3: $i > $i > $i > $i).
% 2.25/0.67 thf(decl_423, type, esk85_3: $i > $i > $i > $i).
% 2.25/0.67 thf(decl_424, type, esk86_3: $i > $i > $i > $i).
% 2.25/0.67 thf(decl_425, type, esk87_0: $i).
% 2.25/0.67 thf(decl_426, type, esk88_0: $i).
% 2.25/0.67 thf(decl_427, type, esk89_0: $i).
% 2.25/0.67 thf(decl_428, type, esk90_0: $i).
% 2.25/0.67 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', replAx)).
% 2.25/0.67 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', exu)).
% 2.25/0.67 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', descrp)).
% 2.25/0.67 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', exuE1)).
% 2.25/0.67 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', exuE3e)).
% 2.25/0.67 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', nonempty)).
% 2.25/0.67 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', nonemptyI)).
% 2.25/0.67 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', exuE2)).
% 2.25/0.67 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', exuI1)).
% 2.25/0.67 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', exuI3)).
% 2.25/0.67 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', exuI2)).
% 2.25/0.67 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', exuE3u)).
% 2.25/0.67 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', exu__Cong)).
% 2.25/0.67 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', exuEu)).
% 2.25/0.67 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', descr__Cong)).
% 2.25/0.67 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ex1E1)).
% 2.25/0.67 thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ex1)).
% 2.25/0.67 thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ex1I)).
% 2.25/0.67 thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ex1I2)).
% 2.25/0.67 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setOfPairsIsBReln)).
% 2.25/0.67 thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', breln)).
% 2.25/0.67 thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ex1E2)).
% 2.25/0.67 thf(woz13rule3, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((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)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((eqbreln)=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>((ifSingleton)=>((ifp)=>((theeq)=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((complementTI1)=>((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>((contrasubsetT1)=>((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>((doubleComplementE1)=>((doubleComplementSub1)=>((doubleComplementSub2)=>((doubleComplementEq)=>((complementTnotintersectT)=>((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>((complementInPowersetComplementIntersect)=>((contraSubsetComplement)=>((complementTcontraSubset)=>((binunionTILcontra)=>((binunionTIRcontra)=>((inIntersectImpInUnion)=>((inIntersectImpInUnion2)=>((inIntersectImpInIntersectUnions)=>((intersectInPowersetIntersectUnions)=>((inComplementUnionImpNotIn1)=>((inComplementUnionImpInComplement1)=>((binunionTE)=>((binunionTEcontra)=>((demorgan2a1)=>((complementUnionInPowersetComplement)=>((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>((demorgan2b2)=>((demorgan2b)=>((demorgan2)=>((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X48)=>((subset @ X21 @ X49)=>(subset @ X21 @ (binintersect @ X48 @ X49))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', woz13rule3)).
% 2.25/0.67 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', dsetconstrI)).
% 2.25/0.67 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', dsetconstrEL)).
% 2.25/0.67 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', dsetconstrER)).
% 2.25/0.67 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setbeta)).
% 2.25/0.67 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', nonemptyE1)).
% 2.25/0.67 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', nonemptyI1)).
% 2.25/0.67 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setoftrueEq)).
% 2.25/0.67 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', nonemptyImpWitness)).
% 2.25/0.67 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', emptyE1)).
% 2.25/0.67 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', dsetconstr__Cong)).
% 2.25/0.67 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', sepInPowerset)).
% 2.25/0.67 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', sepSubset)).
% 2.25/0.67 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', singletonprop)).
% 2.25/0.67 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', kfstsingleton)).
% 2.25/0.67 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ksndsingleton)).
% 2.25/0.67 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', dpsetconstrI)).
% 2.25/0.67 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', dpsetconstrSub)).
% 2.25/0.67 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', dpsetconstrERa)).
% 2.25/0.67 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', dpsetconstrEL1)).
% 2.25/0.67 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', dpsetconstrEL2)).
% 2.25/0.67 thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', dpsetconstrER)).
% 2.25/0.67 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', funcImageSingleton)).
% 2.25/0.67 thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', apProp)).
% 2.25/0.67 thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', lamProp)).
% 2.25/0.67 thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', lamp)).
% 2.25/0.67 thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', lam2p)).
% 2.25/0.67 thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', brelnall1)).
% 2.25/0.67 thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', brelnall2)).
% 2.25/0.67 thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', subbreln)).
% 2.25/0.67 thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', eqbreln)).
% 2.25/0.67 thf(beta1, axiom, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X36 @ X3))) @ X2)=(X36 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', beta1)).
% 2.25/0.67 thf(eta1, axiom, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', eta1)).
% 2.25/0.67 thf(lam2lamEq, axiom, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2)))=(lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', lam2lamEq)).
% 2.25/0.67 thf(beta2, axiom, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X38 @ X3))) @ X2)=(X38 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', beta2)).
% 2.25/0.67 thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', eta2)).
% 2.25/0.67 thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X39))&(((X14)=(X2)))))|(((~((X39)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', iffalseProp1)).
% 2.25/0.67 thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X40))&(((X14)=(X2)))))|(((~((X40)))&(((X14)=(X3)))))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', iffalseProp2)).
% 2.25/0.67 thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X41))&(((X14)=(X2)))))|(((~((X41)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', iftrueProp1)).
% 2.25/0.67 thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X42))&(((X14)=(X2)))))|(((~((X42)))&(((X14)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', iftrueProp2)).
% 2.25/0.67 thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X43))&(((X14)=(X2)))))|(((~((X43)))&(((X14)=(X3))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ifSingleton)).
% 2.25/0.67 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setextAx)).
% 2.25/0.67 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', emptysetAx)).
% 2.25/0.67 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setadjoinAx)).
% 2.25/0.67 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', powersetAx)).
% 2.25/0.67 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setunionAx)).
% 2.25/0.67 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', omega0Ax)).
% 2.25/0.67 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', omegaSAx)).
% 2.25/0.67 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', omegaIndAx)).
% 2.25/0.67 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', foundationAx)).
% 2.25/0.67 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', wellorderingAx)).
% 2.25/0.67 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', prop2setE)).
% 2.25/0.67 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', emptysetE)).
% 2.25/0.67 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', emptysetimpfalse)).
% 2.25/0.67 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', notinemptyset)).
% 2.25/0.67 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setext)).
% 2.25/0.67 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', emptyI)).
% 2.25/0.67 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', noeltsimpempty)).
% 2.25/0.67 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setadjoinIL)).
% 2.25/0.67 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', emptyinunitempty)).
% 2.25/0.67 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setadjoinIR)).
% 2.25/0.67 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setadjoinE)).
% 2.25/0.67 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setadjoinOr)).
% 2.25/0.67 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', powersetI)).
% 2.25/0.67 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', emptyinPowerset)).
% 2.25/0.67 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', emptyInPowerset)).
% 2.25/0.67 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', powersetE)).
% 2.25/0.67 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setunionI)).
% 2.25/0.67 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setunionE)).
% 2.25/0.67 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', subPowSU)).
% 2.25/0.67 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', uniqinunit)).
% 2.25/0.67 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', notinsingleton)).
% 2.25/0.67 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', eqinunit)).
% 2.25/0.67 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', singletonsswitch)).
% 2.25/0.67 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', upairsetE)).
% 2.25/0.67 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', upairsetIL)).
% 2.25/0.67 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', upairsetIR)).
% 2.25/0.67 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', vacuousDall)).
% 2.25/0.67 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', quantDeMorgan1)).
% 2.25/0.67 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', quantDeMorgan2)).
% 2.25/0.67 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', quantDeMorgan3)).
% 2.25/0.67 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', quantDeMorgan4)).
% 2.25/0.67 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', prop2setI)).
% 2.25/0.67 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', prop2set2propI)).
% 2.25/0.67 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', notdexE)).
% 2.25/0.67 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', notdallE)).
% 2.25/0.67 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', inCongP)).
% 2.25/0.67 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', in__Cong)).
% 2.25/0.67 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', emptyset__Cong)).
% 2.25/0.67 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setadjoin__Cong)).
% 2.25/0.67 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', powerset__Cong)).
% 2.25/0.67 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setunion__Cong)).
% 2.25/0.67 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', omega__Cong)).
% 2.25/0.67 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', subsetI1)).
% 2.25/0.67 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', eqimpsubset2)).
% 2.25/0.67 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', eqimpsubset1)).
% 2.25/0.67 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', subsetI2)).
% 2.25/0.67 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', emptysetsubset)).
% 2.25/0.67 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', subsetE)).
% 2.25/0.67 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', subsetE2)).
% 2.25/0.67 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', notsubsetI)).
% 2.25/0.67 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', notequalI1)).
% 2.25/0.67 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', notequalI2)).
% 2.25/0.67 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', subsetRefl)).
% 2.25/0.67 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', subsetTrans)).
% 2.25/0.67 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setadjoinSub)).
% 2.25/0.67 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setadjoinSub2)).
% 2.25/0.67 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', subset2powerset)).
% 2.25/0.67 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setextsub)).
% 2.25/0.67 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', subsetemptysetimpeq)).
% 2.25/0.67 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', powersetI1)).
% 2.25/0.67 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', powersetE1)).
% 2.25/0.67 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', inPowerset)).
% 2.25/0.67 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', powersetsubset)).
% 2.25/0.67 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binunionIL)).
% 2.25/0.67 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', upairset2IR)).
% 2.25/0.67 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binunionIR)).
% 2.25/0.67 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binunionEcases)).
% 2.25/0.67 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binunionE)).
% 2.25/0.67 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binunionLsub)).
% 2.25/0.67 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binunionRsub)).
% 2.25/0.67 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binintersectI)).
% 2.25/0.67 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binintersectSubset5)).
% 2.25/0.67 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binintersectEL)).
% 2.25/0.67 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binintersectLsub)).
% 2.25/0.67 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binintersectSubset2)).
% 2.25/0.67 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binintersectSubset3)).
% 2.25/0.67 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binintersectER)).
% 2.25/0.67 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', disjointsetsI1)).
% 2.25/0.67 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binintersectRsub)).
% 2.25/0.67 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binintersectSubset4)).
% 2.25/0.67 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binintersectSubset1)).
% 2.25/0.67 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', bs114d)).
% 2.25/0.67 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setminusI)).
% 2.25/0.67 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setminusEL)).
% 2.25/0.67 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setminusER)).
% 2.25/0.67 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setminusSubset2)).
% 2.25/0.67 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setminusERneg)).
% 2.25/0.67 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setminusELneg)).
% 2.25/0.67 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setminusILneg)).
% 2.25/0.67 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setminusIRneg)).
% 2.25/0.67 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setminusLsub)).
% 2.25/0.67 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setminusSubset1)).
% 2.25/0.67 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', symdiffE)).
% 2.25/0.67 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', symdiffI1)).
% 2.25/0.67 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', symdiffI2)).
% 2.25/0.67 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', symdiffIneg1)).
% 2.25/0.67 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', symdiffIneg2)).
% 2.25/0.67 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', secondinupair)).
% 2.25/0.67 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setukpairIL)).
% 2.25/0.67 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setukpairIR)).
% 2.25/0.67 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', kpairiskpair)).
% 2.25/0.67 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', kpairp)).
% 2.25/0.67 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', singletonsubset)).
% 2.25/0.67 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', singletoninpowerset)).
% 2.25/0.67 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', singletoninpowunion)).
% 2.25/0.67 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', upairset2E)).
% 2.25/0.67 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', upairsubunion)).
% 2.25/0.67 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', upairinpowunion)).
% 2.25/0.67 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ubforcartprodlem1)).
% 2.25/0.67 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ubforcartprodlem2)).
% 2.25/0.67 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ubforcartprodlem3)).
% 2.25/0.67 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', cartprodpairin)).
% 2.25/0.67 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', cartprodmempair1)).
% 2.25/0.67 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', cartprodmempair)).
% 2.25/0.67 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setunionE2)).
% 2.25/0.67 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setunionsingleton1)).
% 2.25/0.67 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setunionsingleton2)).
% 2.25/0.67 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setunionsingleton)).
% 2.25/0.67 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', singletonsuniq)).
% 2.25/0.67 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setukpairinjL1)).
% 2.25/0.67 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', theprop)).
% 2.25/0.67 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', kfstpairEq)).
% 2.25/0.67 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', cartprodfstin)).
% 2.25/0.67 thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setukpairinjL2)).
% 2.25/0.67 thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setukpairinjL)).
% 2.25/0.67 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setukpairinjR11)).
% 2.25/0.67 thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setukpairinjR12)).
% 2.25/0.67 thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setukpairinjR1)).
% 2.25/0.67 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', upairequniteq)).
% 2.25/0.67 thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setukpairinjR2)).
% 2.25/0.67 thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setukpairinjR)).
% 2.25/0.67 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ksndpairEq)).
% 2.25/0.67 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', kpairsurjEq)).
% 2.25/0.67 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', cartprodsndin)).
% 2.25/0.67 thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', cartprodpairmemEL)).
% 2.25/0.67 thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', cartprodpairmemER)).
% 2.25/0.67 thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', cartprodmempaircEq)).
% 2.25/0.67 thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', cartprodfstpairEq)).
% 2.25/0.67 thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', cartprodsndpairEq)).
% 2.25/0.67 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', cartprodpairsurjEq)).
% 2.25/0.67 thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', app)).
% 2.25/0.67 thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', infuncsetfunc)).
% 2.25/0.67 thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ap2p)).
% 2.25/0.67 thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', funcinfuncset)).
% 2.25/0.67 thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', funcGraphProp1)).
% 2.25/0.67 thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', funcGraphProp3)).
% 2.25/0.67 thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', funcGraphProp2)).
% 2.25/0.67 thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', funcextLem)).
% 2.25/0.67 thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', funcGraphProp4)).
% 2.25/0.67 thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', funcext)).
% 2.25/0.67 thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', funcext2)).
% 2.25/0.67 thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ap2apEq1)).
% 2.25/0.67 thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ap2apEq2)).
% 2.25/0.67 thf(ifp, axiom, ((ifp)<=>![X4:$i, X44:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X44)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', ifp)).
% 2.25/0.67 thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', theeq)).
% 2.25/0.67 thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', iftrue)).
% 2.25/0.67 thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', iffalse)).
% 2.25/0.67 thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', iftrueorfalse)).
% 2.25/0.67 thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binintersectT_lem)).
% 2.25/0.67 thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binunionT_lem)).
% 2.25/0.67 thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', powersetT_lem)).
% 2.25/0.67 thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setminusT_lem)).
% 2.25/0.67 thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', complementT_lem)).
% 2.25/0.67 thf(setextT, axiom, ((setextT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ X21))))=>((X21)=(X48))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', setextT)).
% 2.25/0.67 thf(subsetTI, axiom, ((subsetTI)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', subsetTI)).
% 2.25/0.67 thf(powersetTI1, axiom, ((powersetTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(in @ X21 @ (powerset @ X48)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', powersetTI1)).
% 2.25/0.67 thf(powersetTE1, axiom, ((powersetTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', powersetTE1)).
% 2.25/0.67 thf(complementTI1, axiom, ((complementTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>~((in @ X2 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', complementTI1)).
% 2.25/0.67 thf(complementTE1, axiom, ((complementTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', complementTE1)).
% 2.25/0.67 thf(binintersectTELcontra, axiom, ((binintersectTELcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binintersectTELcontra)).
% 2.25/0.67 thf(binintersectTERcontra, axiom, ((binintersectTERcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binintersectTERcontra)).
% 2.25/0.67 thf(contrasubsetT, axiom, ((contrasubsetT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ (setminus @ X4 @ X48))=>((in @ X2 @ X48)=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', contrasubsetT)).
% 2.25/0.67 thf(contrasubsetT1, axiom, ((contrasubsetT1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ X48)=>(~((in @ X2 @ X48))=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', contrasubsetT1)).
% 2.25/0.67 thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ X48)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', contrasubsetT2)).
% 2.25/0.67 thf(contrasubsetT3, axiom, ((contrasubsetT3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', contrasubsetT3)).
% 2.25/0.67 thf(doubleComplementI1, axiom, ((doubleComplementI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', doubleComplementI1)).
% 2.25/0.67 thf(doubleComplementE1, axiom, ((doubleComplementE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', doubleComplementE1)).
% 2.25/0.67 thf(doubleComplementSub1, axiom, ((doubleComplementSub1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', doubleComplementSub1)).
% 2.25/0.67 thf(doubleComplementSub2, axiom, ((doubleComplementSub2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', doubleComplementSub2)).
% 2.25/0.67 thf(doubleComplementEq, axiom, ((doubleComplementEq)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>((X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', doubleComplementEq)).
% 2.25/0.67 thf(complementTnotintersectT, axiom, ((complementTnotintersectT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', complementTnotintersectT)).
% 2.25/0.67 thf(complementImpComplementIntersect, axiom, ((complementImpComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', complementImpComplementIntersect)).
% 2.25/0.67 thf(complementSubsetComplementIntersect, axiom, ((complementSubsetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ X21) @ (setminus @ X4 @ (binintersect @ X21 @ X48)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', complementSubsetComplementIntersect)).
% 2.25/0.67 thf(complementInPowersetComplementIntersect, axiom, ((complementInPowersetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', complementInPowersetComplementIntersect)).
% 2.25/0.67 thf(contraSubsetComplement, axiom, ((contraSubsetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ (setminus @ X4 @ X21))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', contraSubsetComplement)).
% 2.25/0.67 thf(complementTcontraSubset, axiom, ((complementTcontraSubset)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', complementTcontraSubset)).
% 2.25/0.67 thf(binunionTILcontra, axiom, ((binunionTILcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binunionTILcontra)).
% 2.25/0.67 thf(binunionTIRcontra, axiom, ((binunionTIRcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X48)))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binunionTIRcontra)).
% 2.25/0.67 thf(inIntersectImpInUnion, axiom, ((inIntersectImpInUnion)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X21 @ X49)))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', inIntersectImpInUnion)).
% 2.25/0.67 thf(inIntersectImpInUnion2, axiom, ((inIntersectImpInUnion2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X48 @ X49)))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', inIntersectImpInUnion2)).
% 2.25/0.67 thf(inIntersectImpInIntersectUnions, axiom, ((inIntersectImpInIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', inIntersectImpInIntersectUnions)).
% 2.25/0.67 thf(intersectInPowersetIntersectUnions, axiom, ((intersectInPowersetIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', intersectInPowersetIntersectUnions)).
% 2.25/0.67 thf(inComplementUnionImpNotIn1, axiom, ((inComplementUnionImpNotIn1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', inComplementUnionImpNotIn1)).
% 2.25/0.67 thf(inComplementUnionImpInComplement1, axiom, ((inComplementUnionImpInComplement1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', inComplementUnionImpInComplement1)).
% 2.25/0.67 thf(binunionTE, axiom, ((binunionTE)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X50:$o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ X21 @ X48))=>(((in @ X2 @ X21)=>(X50))=>(((in @ X2 @ X48)=>(X50))=>(X50))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binunionTE)).
% 2.25/0.67 thf(binunionTEcontra, axiom, ((binunionTEcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', binunionTEcontra)).
% 2.25/0.67 thf(demorgan2a1, axiom, ((demorgan2a1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', demorgan2a1)).
% 2.25/0.67 thf(complementUnionInPowersetComplement, axiom, ((complementUnionInPowersetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', complementUnionInPowersetComplement)).
% 2.25/0.67 thf(demorgan2a2, axiom, ((demorgan2a2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X48)))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', demorgan2a2)).
% 2.25/0.67 thf(demorgan1a, axiom, ((demorgan1a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48)))=>(in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', demorgan1a)).
% 2.25/0.67 thf(demorgan1b, axiom, ((demorgan1b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', demorgan1b)).
% 2.25/0.67 thf(demorgan1, axiom, ((demorgan1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ X21 @ X48))=(binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', demorgan1)).
% 2.25/0.67 thf(demorgan2a, axiom, ((demorgan2a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', demorgan2a)).
% 2.25/0.67 thf(demorgan2b2, axiom, ((demorgan2b2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>((in @ X2 @ (setminus @ X4 @ X48))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', demorgan2b2)).
% 2.25/0.67 thf(demorgan2b, axiom, ((demorgan2b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', demorgan2b)).
% 2.25/0.67 thf(demorgan2, axiom, ((demorgan2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binunion @ X21 @ X48))=(binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', demorgan2)).
% 2.25/0.67 thf(woz13rule0, axiom, ((woz13rule0)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ X4)))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', woz13rule0)).
% 2.25/0.67 thf(woz13rule1, axiom, ((woz13rule1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', woz13rule1)).
% 2.25/0.67 thf(woz13rule2, axiom, ((woz13rule2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X48 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox/tmp/tmp.u7bEt1IIqf/E---3.1_1364843.p', woz13rule2)).
% 2.25/0.67 thf(c_0_282, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 2.25/0.67 thf(c_0_283, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 2.25/0.67 thf(c_0_284, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 2.25/0.67 thf(c_0_285, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 2.25/0.67 thf(c_0_286, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 2.25/0.67 thf(c_0_287, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 2.25/0.67 thf(c_0_288, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 2.25/0.67 thf(c_0_289, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 2.25/0.67 thf(c_0_290, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 2.25/0.67 thf(c_0_291, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 2.25/0.67 thf(c_0_292, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 2.25/0.67 thf(c_0_293, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 2.25/0.67 thf(c_0_294, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 2.25/0.67 thf(c_0_295, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 2.25/0.67 thf(c_0_296, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 2.25/0.67 thf(c_0_297, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
% 2.25/0.67 thf(c_0_298, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((singleton @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2)))))))), inference(fof_simplification,[status(thm)],[ex1])).
% 2.25/0.67 thf(c_0_299, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])).
% 2.25/0.67 thf(c_0_300, 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:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
% 2.25/0.67 thf(c_0_301, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
% 2.25/0.67 thf(c_0_302, plain, ((breln)=(^[Z0:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
% 2.25/0.67 thf(c_0_303, plain, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[ex1E2])).
% 2.25/0.67 thf(c_0_304, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((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)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((eqbreln)=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>((ifSingleton)=>((ifp)=>((theeq)=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((complementTI1)=>((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>((contrasubsetT1)=>((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>((doubleComplementE1)=>((doubleComplementSub1)=>((doubleComplementSub2)=>((doubleComplementEq)=>((complementTnotintersectT)=>((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>((complementInPowersetComplementIntersect)=>((contraSubsetComplement)=>((complementTcontraSubset)=>((binunionTILcontra)=>((binunionTIRcontra)=>((inIntersectImpInUnion)=>((inIntersectImpInUnion2)=>((inIntersectImpInIntersectUnions)=>((intersectInPowersetIntersectUnions)=>((inComplementUnionImpNotIn1)=>((inComplementUnionImpInComplement1)=>((binunionTE)=>((binunionTEcontra)=>((demorgan2a1)=>((complementUnionInPowersetComplement)=>((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>((demorgan2b2)=>((demorgan2b)=>((demorgan2)=>((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X48)=>((subset @ X21 @ X49)=>(subset @ X21 @ (binintersect @ X48 @ X49)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[woz13rule3])).
% 2.25/0.67 thf(c_0_305, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X935:$i]:(((((X6 @ X2 @ X935)))&(![X936:$i]:(((((X6 @ X2 @ X936)))=>(((X935)=(X936)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_282, c_0_283])).
% 2.25/0.67 thf(c_0_306, plain, ((descrp)=(![X1:$i > $o]:((((?[X937:$i]:(((((X1 @ X937)))&(![X938:$i]:(((((X1 @ X938)))=>(((X937)=(X938))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_284, c_0_283])).
% 2.25/0.67 thf(c_0_307, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 2.25/0.67 thf(c_0_308, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 2.25/0.67 thf(c_0_309, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 2.25/0.67 thf(c_0_310, plain, ((exuE1)=(![X1:$i > $o]:((((?[X939:$i]:(((((X1 @ X939)))&(![X940:$i]:(((((X1 @ X940)))=>(((X939)=(X940))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_285, c_0_283])).
% 2.25/0.67 thf(c_0_311, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X941:$i]:(((((X1 @ X941)))&(![X942:$i]:(((((X1 @ X942)))=>(((X941)=(X942))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_286, c_0_283])).
% 2.25/0.67 thf(c_0_312, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 2.25/0.67 thf(c_0_313, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_287])).
% 2.25/0.67 thf(c_0_314, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_288, c_0_287])).
% 2.25/0.67 thf(c_0_315, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_287])).
% 2.25/0.67 thf(c_0_316, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 2.25/0.67 thf(c_0_317, plain, ((exuE2)=(![X1:$i > $o]:((((?[X943:$i]:(((((X1 @ X943)))&(![X944:$i]:(((((X1 @ X944)))=>(((X943)=(X944))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_289, c_0_283])).
% 2.25/0.67 thf(c_0_318, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_287])).
% 2.25/0.67 thf(c_0_319, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 2.25/0.67 thf(c_0_320, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X945:$i]:(((((X1 @ X945)))&(![X946:$i]:(((((X1 @ X946)))=>(((X945)=(X946)))))))))))))), inference(apply_def,[status(thm)],[c_0_290, c_0_283])).
% 2.25/0.67 thf(c_0_321, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X947:$i]:(((((X1 @ X947)))&(![X948:$i]:(((((X1 @ X948)))=>(((X947)=(X948)))))))))))))))), inference(apply_def,[status(thm)],[c_0_291, c_0_283])).
% 2.25/0.67 thf(c_0_322, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X949:$i]:(((((X1 @ X949)))&(![X950:$i]:(((((X1 @ X950)))=>(((X949)=(X950)))))))))))))), inference(apply_def,[status(thm)],[c_0_292, c_0_283])).
% 2.25/0.67 thf(c_0_323, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X951:$i]:(((((X1 @ X951)))&(![X952:$i]:(((((X1 @ X952)))=>(((X951)=(X952))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_293, c_0_283])).
% 2.25/0.67 thf(c_0_324, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X953:$i]:(((((X1 @ X953)))&(![X954:$i]:(((((X1 @ X954)))=>(((X953)=(X954))))))))))<=>((?[X955:$i]:(((((X17 @ X955)))&(![X956:$i]:(((((X17 @ X956)))=>(((X955)=(X956)))))))))))))))), inference(apply_def,[status(thm)],[c_0_294, c_0_283])).
% 2.25/0.67 thf(c_0_325, plain, ((exuEu)=(![X1:$i > $o]:((((?[X957:$i]:(((((X1 @ X957)))&(![X958:$i]:(((((X1 @ X958)))=>(((X957)=(X958))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_295, c_0_283])).
% 2.25/0.67 thf(c_0_326, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X959:$i]:(((((X1 @ X959)))&(![X960:$i]:(((((X1 @ X960)))=>(((X959)=(X960))))))))))=>((((?[X961:$i]:(((((X17 @ X961)))&(![X962:$i]:(((((X17 @ X962)))=>(((X961)=(X962))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_296, c_0_283])).
% 2.25/0.67 thf(c_0_327, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 2.25/0.67 thf(c_0_328, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 2.25/0.67 thf(c_0_329, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 2.25/0.67 thf(c_0_330, 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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 2.25/0.67 thf(c_0_331, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:(((((singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0))))))))=>(?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2))))))))), inference(apply_def,[status(thm)],[c_0_297, c_0_298])).
% 2.25/0.67 thf(c_0_332, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>(((![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X3))=>(((X3)=(X2))))))))=>(((singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))))))))))), inference(apply_def,[status(thm)],[c_0_299, c_0_298])).
% 2.25/0.67 thf(c_0_333, 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)))))=>(((singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_300, c_0_298])).
% 2.25/0.67 thf(c_0_334, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 2.25/0.67 thf(c_0_335, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
% 2.25/0.67 thf(c_0_336, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
% 2.25/0.67 thf(c_0_337, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
% 2.25/0.67 thf(c_0_338, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_301, c_0_302])).
% 2.25/0.67 thf(c_0_339, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
% 2.25/0.67 thf(c_0_340, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
% 2.25/0.67 thf(c_0_341, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
% 2.25/0.67 thf(c_0_342, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
% 2.25/0.67 thf(c_0_343, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
% 2.25/0.67 thf(c_0_344, plain, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
% 2.25/0.67 thf(c_0_345, plain, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:(((X30 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
% 2.25/0.67 thf(c_0_346, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
% 2.25/0.67 thf(c_0_347, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
% 2.25/0.67 thf(c_0_348, axiom, ((brelnall1)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X33))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[brelnall1, c_0_302])).
% 2.25/0.67 thf(c_0_349, axiom, ((brelnall2)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X33))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[brelnall2, c_0_302])).
% 2.25/0.67 thf(c_0_350, plain, ((ex1E2)=(![X4:$i, X1:$i > $o]:(((((singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0))))))))=>(![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))))))))))), inference(apply_def,[status(thm)],[c_0_303, c_0_298])).
% 2.25/0.67 thf(c_0_351, axiom, ((subbreln)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X35:$i]:(((((subset @ X35 @ (cartprod @ X4 @ X5))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((in @ (kpair @ X2 @ X3) @ X35))))))))))=>((subset @ X33 @ X35))))))))))), inference(apply_def,[status(thm)],[subbreln, c_0_302])).
% 2.25/0.67 thf(c_0_352, axiom, ((eqbreln)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X35:$i]:(((((subset @ X35 @ (cartprod @ X4 @ X5))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((in @ (kpair @ X2 @ X3) @ X35))))))))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X35))=>((in @ (kpair @ X2 @ X3) @ X33))))))))))=>(((X33)=(X35)))))))))))))), inference(apply_def,[status(thm)],[eqbreln, c_0_302])).
% 2.25/0.67 thf(c_0_353, plain, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X36 @ Z0))) @ X2)=(X36 @ X2))))))), inference(fof_simplification,[status(thm)],[beta1])).
% 2.25/0.67 thf(c_0_354, plain, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[Z0:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta1])).
% 2.25/0.67 thf(c_0_355, plain, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[Z0:$i]:(X37 @ Z0)))=(lam @ X4 @ X5 @ (^[Z0:$i]:(X37 @ Z0))))))), inference(fof_simplification,[status(thm)],[lam2lamEq])).
% 2.25/0.67 thf(c_0_356, plain, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X38 @ Z0))) @ X2)=(X38 @ X2))))))), inference(fof_simplification,[status(thm)],[beta2])).
% 2.25/0.67 thf(c_0_357, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
% 2.25/0.67 thf(c_0_358, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X39))&(((Z0)=(X2)))))|(((~((X39)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
% 2.25/0.67 thf(c_0_359, plain, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[Z0:$i]:((((((X40))&(((Z0)=(X2)))))|(((~((X40)))&(((Z0)=(X3)))))))))=(setadjoin @ X3 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iffalseProp2])).
% 2.25/0.67 thf(c_0_360, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X41))&(((Z0)=(X2)))))|(((~((X41)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
% 2.25/0.67 thf(c_0_361, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0:$i]:((((((X42))&(((Z0)=(X2)))))|(((~((X42)))&(((Z0)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])).
% 2.25/0.67 thf(c_0_362, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X43))&(((Z0)=(X2)))))|(((~((X43)))&(((Z0)=(X3))))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
% 2.25/0.67 thf(c_0_363, plain, ((epred1_0)<=>![X992:$i]:(?[X993:$i]:((((![X994:$i]:(((in @ X994 @ X993)=>![X995:$i]:(((in @ X995 @ X994)=>(in @ X995 @ X992)))))&![X996:$i, X997:$i]:((((in @ X996 @ X992)&(in @ X997 @ X992))=>(![X998:$i]:(((in @ X998 @ X993)=>((in @ X996 @ X998)<=>(in @ X997 @ X998))))=>((X996)=(X997))))))&![X999:$i, X1000:$i]:((((in @ X999 @ X993)&(in @ X1000 @ X993))=>(![X1001:$i]:(((in @ X1001 @ X999)=>(in @ X1001 @ X1000)))|![X1002:$i]:(((in @ X1002 @ X1000)=>(in @ X1002 @ X999)))))))&![X1003:$i]:(((![X1004:$i]:(((in @ X1004 @ X1003)=>(in @ X1004 @ X992)))&?[X1005:$i]:((in @ X1005 @ X1003)))=>?[X1006:$i, X1007:$i]:(((((in @ X1006 @ X993)&(in @ X1007 @ X1003))&~(?[X1008:$i]:(((in @ X1008 @ X1006)&(in @ X1008 @ X1003)))))&![X1009:$i]:(((in @ X1009 @ X993)=>(![X1010:$i]:(((in @ X1010 @ X1009)=>(in @ X1010 @ X1006)))|(in @ X1007 @ X1009)))))))))))), introduced(definition)).
% 2.25/0.67 thf(c_0_364, negated_conjecture, ~((![X963:$i, X964:$i]:((![X965:$i]:(((in @ X965 @ X963)<=>(in @ X965 @ X964)))=>((X963)=(X964))))=>(![X966:$i]:(~(in @ X966 @ emptyset))=>(![X967:$i, X968:$i, X969:$i]:(((in @ X969 @ (setadjoin @ X967 @ X968))<=>(((X969)=(X967))|(in @ X969 @ X968))))=>(![X970:$i, X971:$i]:(((in @ X971 @ (powerset @ X970))<=>![X972:$i]:(((in @ X972 @ X971)=>(in @ X972 @ X970)))))=>(![X973:$i, X974:$i]:(((in @ X974 @ (setunion @ X973))<=>?[X975:$i]:(((in @ X974 @ X975)&(in @ X975 @ X973)))))=>((in @ emptyset @ omega)=>(![X976:$i]:(((in @ X976 @ omega)=>(in @ (setadjoin @ X976 @ X976) @ omega)))=>(![X977:$i]:((((in @ emptyset @ X977)&![X978:$i]:((((in @ X978 @ omega)&(in @ X978 @ X977))=>(in @ (setadjoin @ X978 @ X978) @ X977))))=>![X979:$i]:(((in @ X979 @ omega)=>(in @ X979 @ X977)))))=>(![X980:$i > $i > $o, X981:$i]:((![X982:$i]:(((in @ X982 @ X981)=>?[X983:$i]:(((X980 @ X982 @ X983)&![X984:$i]:(((X980 @ X982 @ X984)=>((X983)=(X984))))))))=>?[X985:$i]:(![X986:$i]:(((in @ X986 @ X985)<=>?[X987:$i]:(((in @ X987 @ X981)&(X980 @ X987 @ X986))))))))=>(![X988:$i]:((?[X989:$i]:((in @ X989 @ X988))=>?[X990:$i]:(((in @ X990 @ X988)&~(?[X991:$i]:(((in @ X991 @ X990)&(in @ X991 @ X988))))))))=>((epred1_0)=>(![X1011:$i > $o]:((?[X1012:$i]:(((X1011 @ X1012)&![X1013:$i]:(((X1011 @ X1013)=>((X1012)=(X1013))))))=>(X1011 @ (descr @ (^[Z0:$i]:(X1011 @ Z0))))))=>(![X1014:$i, X1015:$i > $o, X1016:$i]:(((in @ X1016 @ X1014)=>((X1015 @ X1016)=>(in @ X1016 @ (dsetconstr @ X1014 @ X1015)))))=>(![X1017:$i, X1018:$i > $o, X1019:$i]:(((in @ X1019 @ (dsetconstr @ X1017 @ X1018))=>(in @ X1019 @ X1017)))=>(![X1020:$i, X1021:$i > $o, X1022:$i]:(((in @ X1022 @ (dsetconstr @ X1020 @ X1021))=>(X1021 @ X1022)))=>(![X1023:$i > $o]:((?[X1024:$i]:(((X1023 @ X1024)&![X1025:$i]:(((X1023 @ X1025)=>((X1024)=(X1025))))))=>?[X1026:$i]:(((X1023 @ X1026)&![X1027:$i]:(((X1023 @ X1027)=>((X1026)=(X1027))))))))=>(![X1028:$o, X1029:$i]:(((in @ X1029 @ (prop2set @ ((X1028))))=>(X1028)))=>(![X1030:$i]:(((in @ X1030 @ emptyset)=>![X1031:$o]:((X1031))))=>(![X1032:$i]:(((in @ X1032 @ emptyset)=>~($true)))=>(![X1033:$i]:(~(in @ X1033 @ emptyset))=>(![X1034:$i > $o]:((?[X1035:$i]:(((X1034 @ X1035)&![X1036:$i]:(((X1034 @ X1036)=>((X1035)=(X1036))))))=>?[X1037:$i]:((X1034 @ X1037))))=>(![X1038:$i, X1039:$i]:((![X1040:$i]:(((in @ X1040 @ X1038)=>(in @ X1040 @ X1039)))=>(![X1041:$i]:(((in @ X1041 @ X1039)=>(in @ X1041 @ X1038)))=>((X1038)=(X1039)))))=>(![X1042:$i]:((![X1043:$i]:(~(in @ X1043 @ X1042))=>((X1042)=(emptyset))))=>(![X1044:$i]:((![X1045:$i]:(~(in @ X1045 @ X1044))=>((X1044)=(emptyset))))=>(![X1046:$i, X1047:$i > $o, X1048:$i]:(((in @ X1048 @ X1046)=>((in @ X1048 @ (dsetconstr @ X1046 @ X1047))<=>(X1047 @ X1048))))=>(![X1049:$i]:((((X1049)!=(emptyset))=>?[X1050:$i]:((in @ X1050 @ X1049))))=>(![X1051:$i, X1052:$i > $o, X1053:$i]:(((in @ X1053 @ X1051)=>((X1052 @ X1053)=>((dsetconstr @ X1051 @ X1052)!=(emptyset)))))=>(![X1054:$i]:((?[X1055:$i]:((in @ X1055 @ X1054))=>((X1054)!=(emptyset))))=>(![X1056:$i, X1057:$i]:((in @ X1056 @ (setadjoin @ X1056 @ X1057)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X1058:$i, X1059:$i, X1060:$i]:(((in @ X1060 @ X1059)=>(in @ X1060 @ (setadjoin @ X1058 @ X1059))))=>(![X1061:$i, X1062:$i, X1063:$i]:(((in @ X1063 @ (setadjoin @ X1061 @ X1062))=>![X1064:$o]:(((((X1063)=(X1061))=>(X1064))=>(((in @ X1063 @ X1062)=>(X1064))=>(X1064))))))=>(![X1065:$i, X1066:$i, X1067:$i]:(((in @ X1067 @ (setadjoin @ X1065 @ X1066))=>(((X1067)=(X1065))|(in @ X1067 @ X1066))))=>(![X1068:$i]:(((dsetconstr @ X1068 @ (^[Z0:$i]:($true)))=(X1068)))=>(![X1069:$i, X1070:$i]:((![X1071:$i]:(((in @ X1071 @ X1070)=>(in @ X1071 @ X1069)))=>(in @ X1070 @ (powerset @ X1069))))=>(![X1072:$i]:((in @ emptyset @ (powerset @ X1072)))=>(![X1073:$i]:((in @ emptyset @ (powerset @ X1073)))=>(![X1074:$i, X1075:$i, X1076:$i]:(((in @ X1075 @ (powerset @ X1074))=>((in @ X1076 @ X1075)=>(in @ X1076 @ X1074))))=>(![X1077:$i, X1078:$i, X1079:$i]:(((in @ X1078 @ X1079)=>((in @ X1079 @ X1077)=>(in @ X1078 @ (setunion @ X1077)))))=>(![X1080:$i, X1081:$i]:(((in @ X1081 @ (setunion @ X1080))=>![X1082:$o]:((![X1083:$i]:(((in @ X1081 @ X1083)=>((in @ X1083 @ X1080)=>(X1082))))=>(X1082)))))=>(![X1084:$i, X1085:$i]:(((in @ X1085 @ X1084)=>(in @ X1085 @ (powerset @ (setunion @ X1084)))))=>(![X1086:$i > $o]:((?[X1087:$i]:(((X1086 @ X1087)&![X1088:$i]:(((X1086 @ X1088)=>((X1087)=(X1088))))))=>?[X1089:$i]:(![X1090:$i]:(((X1086 @ X1090)<=>((X1090)=(X1089)))))))=>(![X1091:$i]:((((X1091)!=(emptyset))=>?[X1092:$i]:(((in @ X1092 @ X1091)&$true))))=>(![X1093:$i, X1094:$i]:(((in @ X1093 @ (setadjoin @ X1094 @ emptyset))=>((X1093)=(X1094))))=>(![X1095:$i, X1096:$i]:((((X1095)!=(X1096))=>~(in @ X1096 @ (setadjoin @ X1095 @ emptyset))))=>(![X1097:$i, X1098:$i]:((((X1097)=(X1098))=>(in @ X1097 @ (setadjoin @ X1098 @ emptyset))))=>(![X1099:$i, X1100:$i]:(((in @ X1099 @ (setadjoin @ X1100 @ emptyset))=>(in @ X1100 @ (setadjoin @ X1099 @ emptyset))))=>(![X1101:$i, X1102:$i, X1103:$i]:(((in @ X1103 @ (setadjoin @ X1101 @ (setadjoin @ X1102 @ emptyset)))=>(((X1103)=(X1101))|((X1103)=(X1102)))))=>(![X1104:$i, X1105:$i]:((in @ X1104 @ (setadjoin @ X1104 @ (setadjoin @ X1105 @ emptyset))))=>(![X1106:$i, X1107:$i]:((in @ X1107 @ (setadjoin @ X1106 @ (setadjoin @ X1107 @ emptyset))))=>(![X1108:$i, X1109:$i > $o]:((?[X1110:$i]:(((in @ X1110 @ X1108)&(X1109 @ X1110)))=>(((dsetconstr @ X1108 @ X1109)=(emptyset))=>~($true))))=>(![X1111:$i > $o, X1112:$i]:(((in @ X1112 @ emptyset)=>(X1111 @ X1112)))=>(![X1113:$i, X1114:$i > $o]:((~(![X1115:$i]:(((in @ X1115 @ X1113)=>(X1114 @ X1115))))=>?[X1116:$i]:(((in @ X1116 @ X1113)&~((X1114 @ X1116))))))=>(![X1117:$i, X1118:$i > $o]:((![X1119:$i]:(((in @ X1119 @ X1117)=>~((X1118 @ X1119))))=>~(?[X1120:$i]:(((in @ X1120 @ X1117)&(X1118 @ X1120))))))=>(![X1121:$i, X1122:$i > $o]:((~(?[X1123:$i]:(((in @ X1123 @ X1121)&(X1122 @ X1123))))=>![X1124:$i]:(((in @ X1124 @ X1121)=>~((X1122 @ X1124))))))=>(![X1125:$i, X1126:$i > $o]:((?[X1127:$i]:(((in @ X1127 @ X1125)&~((X1126 @ X1127))))=>~(![X1128:$i]:(((in @ X1128 @ X1125)=>(X1126 @ X1128))))))=>(![X1129:$o]:(((X1129)=>(in @ emptyset @ (prop2set @ ((X1129))))))=>(![X1130:$o]:(((X1130)=>(set2prop @ (prop2set @ ((X1130))))))=>(![X1131:$i, X1132:$i > $o]:((~(?[X1133:$i]:(((in @ X1133 @ X1131)&(X1132 @ X1133))))=>![X1134:$i]:(((in @ X1134 @ X1131)=>~((X1132 @ X1134))))))=>(![X1135:$i, X1136:$i > $o]:((~(![X1137:$i]:(((in @ X1137 @ X1135)=>(X1136 @ X1137))))=>?[X1138:$i]:(((in @ X1138 @ X1135)&~((X1136 @ X1138))))))=>(![X1139:$i > $o]:((?[X1140:$i]:(((X1139 @ X1140)&![X1141:$i]:(((X1139 @ X1141)=>((X1140)=(X1141))))))=>?[X1142:$i]:(((X1139 @ X1142)&![X1143:$i]:(((X1139 @ X1143)=>((X1142)=(X1143))))))))=>(![X1144:$i > $o]:((?[X1145:$i]:((X1144 @ X1145))=>(![X1146:$i, X1147:$i]:(((X1144 @ X1146)=>((X1144 @ X1147)=>((X1146)=(X1147)))))=>?[X1148:$i]:(((X1144 @ X1148)&![X1149:$i]:(((X1144 @ X1149)=>((X1148)=(X1149)))))))))=>(![X1150:$i > $o]:((?[X1151:$i]:(![X1152:$i]:(((X1150 @ X1152)<=>((X1152)=(X1151)))))=>?[X1153:$i]:(((X1150 @ X1153)&![X1154:$i]:(((X1150 @ X1154)=>((X1153)=(X1154))))))))=>(![X1155:$i, X1156:$i]:((((X1155)=(X1156))=>![X1157:$i, X1158:$i]:((((X1157)=(X1158))=>((in @ X1157 @ X1155)=>(in @ X1158 @ X1156))))))=>(![X1159:$i, X1160:$i]:((((X1159)=(X1160))=>![X1161:$i, X1162:$i]:((((X1161)=(X1162))=>((in @ X1161 @ X1159)<=>(in @ X1162 @ X1160))))))=>(![X1163:$i > $o]:((?[X1164:$i]:(((X1163 @ X1164)&![X1165:$i]:(((X1163 @ X1165)=>((X1164)=(X1165))))))=>![X1166:$i, X1167:$i]:(((X1163 @ X1166)=>((X1163 @ X1167)=>((X1166)=(X1167)))))))=>(![X1168:$i > $o, X1169:$i > $o]:((![X1170:$i, X1171:$i]:((((X1170)=(X1171))=>((X1168 @ X1170)<=>(X1169 @ X1171))))=>(?[X1172:$i]:(((X1168 @ X1172)&![X1173:$i]:(((X1168 @ X1173)=>((X1172)=(X1173))))))<=>?[X1174:$i]:(((X1169 @ X1174)&![X1175:$i]:(((X1169 @ X1175)=>((X1174)=(X1175)))))))))=>(((emptyset)=(emptyset))=>(![X1176:$i, X1177:$i]:((((X1176)=(X1177))=>![X1178:$i, X1179:$i]:((((X1178)=(X1179))=>((setadjoin @ X1176 @ X1178)=(setadjoin @ X1177 @ X1179))))))=>(![X1180:$i, X1181:$i]:((((X1180)=(X1181))=>((powerset @ X1180)=(powerset @ X1181))))=>(![X1182:$i, X1183:$i]:((((X1182)=(X1183))=>((setunion @ X1182)=(setunion @ X1183))))=>(((omega)=(omega))=>(![X1184:$i > $o]:((?[X1185:$i]:(((X1184 @ X1185)&![X1186:$i]:(((X1184 @ X1186)=>((X1185)=(X1186))))))=>![X1187:$i, X1188:$i]:(((X1184 @ X1187)=>((X1184 @ X1188)=>((X1187)=(X1188)))))))=>(![X1189:$i > $o, X1190:$i > $o]:((![X1191:$i, X1192:$i]:((((X1191)=(X1192))=>((X1189 @ X1191)<=>(X1190 @ X1192))))=>(?[X1193:$i]:(((X1189 @ X1193)&![X1194:$i]:(((X1189 @ X1194)=>((X1193)=(X1194))))))=>(?[X1195:$i]:(((X1190 @ X1195)&![X1196:$i]:(((X1190 @ X1196)=>((X1195)=(X1196))))))=>((descr @ X1189)=(descr @ X1190))))))=>(![X1197:$i, X1198:$i]:((((X1197)=(X1198))=>![X1199:$i > $o, X1200:$i > $o]:((![X1201:$i]:(((in @ X1201 @ X1197)=>![X1202:$i]:(((in @ X1202 @ X1198)=>(((X1201)=(X1202))=>((X1199 @ X1201)<=>(X1200 @ X1202)))))))=>((dsetconstr @ X1197 @ X1199)=(dsetconstr @ X1198 @ X1200))))))=>(![X1203:$i, X1204:$i]:((![X1205:$i]:(((in @ X1205 @ X1203)=>(in @ X1205 @ X1204)))=>(subset @ X1203 @ X1204)))=>(![X1206:$i, X1207:$i]:((((X1206)=(X1207))=>(subset @ X1207 @ X1206)))=>(![X1208:$i, X1209:$i]:((((X1208)=(X1209))=>(subset @ X1208 @ X1209)))=>(![X1210:$i, X1211:$i]:((![X1212:$i]:(((in @ X1212 @ X1210)=>(in @ X1212 @ X1211)))=>(subset @ X1210 @ X1211)))=>(![X1213:$i]:((subset @ emptyset @ X1213))=>(![X1214:$i, X1215:$i, X1216:$i]:(((subset @ X1214 @ X1215)=>((in @ X1216 @ X1214)=>(in @ X1216 @ X1215))))=>(![X1217:$i, X1218:$i, X1219:$i]:(((subset @ X1217 @ X1218)=>(~(in @ X1219 @ X1218)=>~(in @ X1219 @ X1217))))=>(![X1220:$i, X1221:$i, X1222:$i]:(((in @ X1222 @ X1220)=>(~(in @ X1222 @ X1221)=>~(subset @ X1220 @ X1221))))=>(![X1223:$i, X1224:$i]:((~(subset @ X1223 @ X1224)=>((X1223)!=(X1224))))=>(![X1225:$i, X1226:$i, X1227:$i]:(((in @ X1227 @ X1225)=>(~(in @ X1227 @ X1226)=>((X1225)!=(X1226)))))=>(![X1228:$i]:((subset @ X1228 @ X1228))=>(![X1229:$i, X1230:$i, X1231:$i]:(((subset @ X1229 @ X1230)=>((subset @ X1230 @ X1231)=>(subset @ X1229 @ X1231))))=>(![X1232:$i, X1233:$i]:((subset @ X1233 @ (setadjoin @ X1232 @ X1233)))=>(![X1234:$i, X1235:$i, X1236:$i]:(((subset @ X1234 @ X1236)=>(subset @ X1234 @ (setadjoin @ X1235 @ X1236))))=>(![X1237:$i, X1238:$i]:(((subset @ X1237 @ X1238)=>(in @ X1237 @ (powerset @ X1238))))=>(![X1239:$i, X1240:$i]:(((subset @ X1239 @ X1240)=>((subset @ X1240 @ X1239)=>((X1239)=(X1240)))))=>(![X1241:$i]:(((subset @ X1241 @ emptyset)=>((X1241)=(emptyset))))=>(![X1242:$i, X1243:$i]:(((subset @ X1243 @ X1242)=>(in @ X1243 @ (powerset @ X1242))))=>(![X1244:$i, X1245:$i]:(((in @ X1245 @ (powerset @ X1244))=>(subset @ X1245 @ X1244)))=>(![X1246:$i]:((in @ X1246 @ (powerset @ X1246)))=>(![X1247:$i, X1248:$i]:(((subset @ X1247 @ X1248)=>(subset @ (powerset @ X1247) @ (powerset @ X1248))))=>(![X1249:$i, X1250:$i > $o]:((in @ (dsetconstr @ X1249 @ X1250) @ (powerset @ X1249)))=>(![X1251:$i, X1252:$i > $o]:((subset @ (dsetconstr @ X1251 @ X1252) @ X1251))=>(![X1253:$i, X1254:$i, X1255:$i]:(((in @ X1255 @ X1253)=>(in @ X1255 @ (binunion @ X1253 @ X1254))))=>(![X1256:$i, X1257:$i]:((in @ X1257 @ (setadjoin @ X1256 @ (setadjoin @ X1257 @ emptyset))))=>(![X1258:$i, X1259:$i, X1260:$i]:(((in @ X1260 @ X1259)=>(in @ X1260 @ (binunion @ X1258 @ X1259))))=>(![X1261:$i, X1262:$i, X1263:$i, X1264:$o]:(((in @ X1263 @ (binunion @ X1261 @ X1262))=>(((in @ X1263 @ X1261)=>(X1264))=>(((in @ X1263 @ X1262)=>(X1264))=>(X1264)))))=>(![X1265:$i, X1266:$i, X1267:$i]:(((in @ X1267 @ (binunion @ X1265 @ X1266))=>((in @ X1267 @ X1265)|(in @ X1267 @ X1266))))=>(![X1268:$i, X1269:$i]:((subset @ X1268 @ (binunion @ X1268 @ X1269)))=>(![X1270:$i, X1271:$i]:((subset @ X1271 @ (binunion @ X1270 @ X1271)))=>(![X1272:$i, X1273:$i, X1274:$i]:(((in @ X1274 @ X1272)=>((in @ X1274 @ X1273)=>(in @ X1274 @ (binintersect @ X1272 @ X1273)))))=>(![X1275:$i, X1276:$i, X1277:$i]:(((subset @ X1277 @ X1275)=>((subset @ X1277 @ X1276)=>(subset @ X1277 @ (binintersect @ X1275 @ X1276)))))=>(![X1278:$i, X1279:$i, X1280:$i]:(((in @ X1280 @ (binintersect @ X1278 @ X1279))=>(in @ X1280 @ X1278)))=>(![X1281:$i, X1282:$i]:((subset @ (binintersect @ X1281 @ X1282) @ X1281))=>(![X1283:$i, X1284:$i]:(((subset @ X1283 @ X1284)=>((binintersect @ X1283 @ X1284)=(X1283))))=>(![X1285:$i, X1286:$i]:((((binintersect @ X1285 @ X1286)=(X1286))=>(subset @ X1286 @ X1285)))=>(![X1287:$i, X1288:$i, X1289:$i]:(((in @ X1289 @ (binintersect @ X1287 @ X1288))=>(in @ X1289 @ X1288)))=>(![X1290:$i, X1291:$i]:((~(?[X1292:$i]:(((in @ X1292 @ X1290)&(in @ X1292 @ X1291))))=>((binintersect @ X1290 @ X1291)=(emptyset))))=>(![X1293:$i, X1294:$i]:((subset @ (binintersect @ X1293 @ X1294) @ X1294))=>(![X1295:$i, X1296:$i]:(((subset @ X1296 @ X1295)=>((binintersect @ X1295 @ X1296)=(X1296))))=>(![X1297:$i, X1298:$i]:((((binintersect @ X1297 @ X1298)=(X1297))=>(subset @ X1297 @ X1298)))=>(![X1299:$i, X1300:$i, X1301:$i]:(((binintersect @ X1299 @ (binunion @ X1300 @ X1301))=(binunion @ (binintersect @ X1299 @ X1300) @ (binintersect @ X1299 @ X1301))))=>(![X1302:$i, X1303:$i, X1304:$i]:(((in @ X1304 @ X1302)=>(~(in @ X1304 @ X1303)=>(in @ X1304 @ (setminus @ X1302 @ X1303)))))=>(![X1305:$i, X1306:$i, X1307:$i]:(((in @ X1307 @ (setminus @ X1305 @ X1306))=>(in @ X1307 @ X1305)))=>(![X1308:$i, X1309:$i, X1310:$i]:(((in @ X1310 @ (setminus @ X1308 @ X1309))=>~(in @ X1310 @ X1309)))=>(![X1311:$i, X1312:$i]:(((subset @ X1311 @ X1312)=>((setminus @ X1311 @ X1312)=(emptyset))))=>(![X1313:$i, X1314:$i, X1315:$i]:((~(in @ X1315 @ (setminus @ X1313 @ X1314))=>((in @ X1315 @ X1313)=>(in @ X1315 @ X1314))))=>(![X1316:$i, X1317:$i, X1318:$i]:((~(in @ X1318 @ (setminus @ X1316 @ X1317))=>(~(in @ X1318 @ X1317)=>~(in @ X1318 @ X1316))))=>(![X1319:$i, X1320:$i, X1321:$i]:((~(in @ X1321 @ X1319)=>~(in @ X1321 @ (setminus @ X1319 @ X1320))))=>(![X1322:$i, X1323:$i, X1324:$i]:(((in @ X1324 @ X1323)=>~(in @ X1324 @ (setminus @ X1322 @ X1323))))=>(![X1325:$i, X1326:$i]:((subset @ (setminus @ X1325 @ X1326) @ X1325))=>(![X1327:$i, X1328:$i]:((((setminus @ X1327 @ X1328)=(emptyset))=>(subset @ X1327 @ X1328)))=>(![X1329:$i, X1330:$i, X1331:$i]:(((in @ X1331 @ (symdiff @ X1329 @ X1330))=>![X1332:$o]:((((in @ X1331 @ X1329)=>(~(in @ X1331 @ X1330)=>(X1332)))=>((~(in @ X1331 @ X1329)=>((in @ X1331 @ X1330)=>(X1332)))=>(X1332))))))=>(![X1333:$i, X1334:$i, X1335:$i]:(((in @ X1335 @ X1333)=>(~(in @ X1335 @ X1334)=>(in @ X1335 @ (symdiff @ X1333 @ X1334)))))=>(![X1336:$i, X1337:$i, X1338:$i]:((~(in @ X1338 @ X1336)=>((in @ X1338 @ X1337)=>(in @ X1338 @ (symdiff @ X1336 @ X1337)))))=>(![X1339:$i, X1340:$i, X1341:$i]:(((in @ X1341 @ X1339)=>((in @ X1341 @ X1340)=>~(in @ X1341 @ (symdiff @ X1339 @ X1340)))))=>(![X1342:$i, X1343:$i, X1344:$i]:((~(in @ X1344 @ X1342)=>(~(in @ X1344 @ X1343)=>~(in @ X1344 @ (symdiff @ X1342 @ X1343)))))=>(![X1345:$i, X1346:$i]:((in @ X1346 @ (setadjoin @ X1345 @ (setadjoin @ X1346 @ emptyset))))=>(![X1347:$i, X1348:$i]:((in @ X1347 @ (setunion @ (setadjoin @ (setadjoin @ X1347 @ emptyset) @ (setadjoin @ (setadjoin @ X1347 @ (setadjoin @ X1348 @ emptyset)) @ emptyset)))))=>(![X1349:$i, X1350:$i]:((in @ X1350 @ (setunion @ (setadjoin @ (setadjoin @ X1349 @ emptyset) @ (setadjoin @ (setadjoin @ X1349 @ (setadjoin @ X1350 @ emptyset)) @ emptyset)))))=>(![X1351:$i, X1352:$i]:((iskpair @ (setadjoin @ (setadjoin @ X1351 @ emptyset) @ (setadjoin @ (setadjoin @ X1351 @ (setadjoin @ X1352 @ emptyset)) @ emptyset))))=>(![X1353:$i, X1354:$i]:((iskpair @ (kpair @ X1353 @ X1354)))=>(![X1355:$i, X1356:$i]:(((in @ X1356 @ X1355)=>(subset @ (setadjoin @ X1356 @ emptyset) @ X1355)))=>(![X1357:$i, X1358:$i]:(((in @ X1358 @ X1357)=>(in @ (setadjoin @ X1358 @ emptyset) @ (powerset @ X1357))))=>(![X1359:$i, X1360:$i, X1361:$i]:(((in @ X1361 @ X1359)=>(in @ (setadjoin @ X1361 @ emptyset) @ (powerset @ (binunion @ X1359 @ X1360)))))=>(![X1362:$i, X1363:$i, X1364:$i]:(((in @ X1364 @ (setadjoin @ X1362 @ (setadjoin @ X1363 @ emptyset)))=>(((X1364)=(X1362))|((X1364)=(X1363)))))=>(![X1365:$i, X1366:$i, X1367:$i]:(((in @ X1367 @ X1365)=>![X1368:$i]:(((in @ X1368 @ X1366)=>(subset @ (setadjoin @ X1367 @ (setadjoin @ X1368 @ emptyset)) @ (binunion @ X1365 @ X1366))))))=>(![X1369:$i, X1370:$i, X1371:$i]:(((in @ X1371 @ X1369)=>![X1372:$i]:(((in @ X1372 @ X1370)=>(in @ (setadjoin @ X1371 @ (setadjoin @ X1372 @ emptyset)) @ (powerset @ (binunion @ X1369 @ X1370)))))))=>(![X1373:$i, X1374:$i, X1375:$i]:(((in @ X1375 @ X1373)=>![X1376:$i]:(((in @ X1376 @ X1374)=>(subset @ (setadjoin @ (setadjoin @ X1375 @ emptyset) @ (setadjoin @ (setadjoin @ X1375 @ (setadjoin @ X1376 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1373 @ X1374)))))))=>(![X1377:$i, X1378:$i, X1379:$i]:(((in @ X1379 @ X1377)=>![X1380:$i]:(((in @ X1380 @ X1378)=>(in @ (setadjoin @ (setadjoin @ X1379 @ emptyset) @ (setadjoin @ (setadjoin @ X1379 @ (setadjoin @ X1380 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1377 @ X1378))))))))=>(![X1381:$i, X1382:$i, X1383:$i]:(((in @ X1383 @ X1381)=>![X1384:$i]:(((in @ X1384 @ X1382)=>(in @ (kpair @ X1383 @ X1384) @ (powerset @ (powerset @ (binunion @ X1381 @ X1382))))))))=>(![X1385:$i, X1386:$i, X1387:$i]:(((in @ X1387 @ X1385)=>![X1388:$i]:(((in @ X1388 @ X1386)=>(in @ (kpair @ X1387 @ X1388) @ (cartprod @ X1385 @ X1386))))))=>(![X1389:$i, X1390:$i, X1391:$i]:(((in @ X1391 @ (cartprod @ X1389 @ X1390))=>?[X1392:$i]:(((in @ X1392 @ X1389)&?[X1393:$i]:(((in @ X1393 @ X1390)&((X1391)=(kpair @ X1392 @ X1393))))))))=>(![X1394:$i, X1395:$i, X1396:$i]:(((in @ X1396 @ (cartprod @ X1394 @ X1395))=>(iskpair @ X1396)))=>(![X1397:$i, X1398:$i]:(((in @ X1398 @ (setunion @ X1397))=>?[X1399:$i]:(((in @ X1399 @ X1397)&(in @ X1398 @ X1399)))))=>(![X1400:$i]:((subset @ (setunion @ (setadjoin @ X1400 @ emptyset)) @ X1400))=>(![X1401:$i]:((subset @ X1401 @ (setunion @ (setadjoin @ X1401 @ emptyset))))=>(![X1402:$i]:(((setunion @ (setadjoin @ X1402 @ emptyset))=(X1402)))=>(![X1403:$i, X1404:$i > $o]:((![X1405:$i]:(((in @ X1405 @ X1403)=>![X1406:$i]:(((in @ X1406 @ X1403)=>((X1404 @ X1405)=>((X1404 @ X1406)=>((X1405)=(X1406))))))))=>(?[X1407:$i]:(((in @ X1407 @ X1403)&(X1404 @ X1407)))=>(singleton @ (dsetconstr @ X1403 @ X1404)))))=>(![X1408:$i, X1409:$i > $o]:(((singleton @ (dsetconstr @ X1408 @ X1409))=>?[X1410:$i]:(((in @ X1410 @ X1408)&(X1409 @ X1410)))))=>(![X1411:$i, X1412:$i > $o, X1413:$i]:(((in @ X1413 @ X1411)=>((X1412 @ X1413)=>(![X1414:$i]:(((in @ X1414 @ X1411)=>((X1412 @ X1414)=>((X1414)=(X1413)))))=>(singleton @ (dsetconstr @ X1411 @ X1412))))))=>(![X1415:$i, X1416:$i > $o]:((![X1417:$i]:(((in @ X1417 @ X1415)=>![X1418:$i]:(((in @ X1418 @ X1415)=>((X1416 @ X1417)=>((X1416 @ X1418)=>((X1417)=(X1418))))))))=>(?[X1419:$i]:(((in @ X1419 @ X1415)&(X1416 @ X1419)))=>(singleton @ (dsetconstr @ X1415 @ X1416)))))=>(![X1420:$i, X1421:$i]:((((setadjoin @ X1420 @ emptyset)=(setadjoin @ X1421 @ emptyset))=>((X1420)=(X1421))))=>(![X1422:$i, X1423:$i, X1424:$i]:(((in @ (setadjoin @ X1424 @ emptyset) @ (setadjoin @ (setadjoin @ X1422 @ emptyset) @ (setadjoin @ (setadjoin @ X1422 @ (setadjoin @ X1423 @ emptyset)) @ emptyset)))=>((X1422)=(X1424))))=>(![X1425:$i]:(((iskpair @ X1425)=>(singleton @ (dsetconstr @ (setunion @ X1425) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1425)))))))=>(![X1426:$i]:(((singleton @ X1426)=>(in @ (setunion @ X1426) @ X1426)))=>(![X1427:$i, X1428:$i]:(((kfst @ (kpair @ X1427 @ X1428))=(X1427)))=>(![X1429:$i, X1430:$i, X1431:$i]:(((in @ X1431 @ (cartprod @ X1429 @ X1430))=>(in @ (kfst @ X1431) @ X1429)))=>(![X1432:$i, X1433:$i, X1434:$i, X1435:$i]:((((setadjoin @ (setadjoin @ X1432 @ emptyset) @ (setadjoin @ (setadjoin @ X1432 @ (setadjoin @ X1433 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1434 @ emptyset) @ (setadjoin @ (setadjoin @ X1434 @ (setadjoin @ X1435 @ emptyset)) @ emptyset)))=>((X1432)=(X1434))))=>(![X1436:$i, X1437:$i, X1438:$i, X1439:$i]:((((kpair @ X1436 @ X1437)=(kpair @ X1438 @ X1439))=>((X1436)=(X1438))))=>(![X1440:$i, X1441:$i]:((((X1440)=(X1441))=>((setadjoin @ X1440 @ (setadjoin @ X1441 @ emptyset))=(setadjoin @ X1440 @ emptyset))))=>(![X1442:$i, X1443:$i]:((((X1442)=(X1443))=>((setadjoin @ (setadjoin @ X1442 @ emptyset) @ (setadjoin @ (setadjoin @ X1442 @ (setadjoin @ X1443 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1442 @ emptyset) @ emptyset))))=>(![X1444:$i, X1445:$i, X1446:$i, X1447:$i]:((((setadjoin @ (setadjoin @ X1444 @ emptyset) @ (setadjoin @ (setadjoin @ X1444 @ (setadjoin @ X1445 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1446 @ emptyset) @ (setadjoin @ (setadjoin @ X1446 @ (setadjoin @ X1447 @ emptyset)) @ emptyset)))=>(((X1446)=(X1447))=>((X1445)=(X1447)))))=>(![X1448:$i, X1449:$i, X1450:$i]:((((setadjoin @ X1448 @ (setadjoin @ X1449 @ emptyset))=(setadjoin @ X1450 @ emptyset))=>((X1448)=(X1449))))=>(![X1451:$i, X1452:$i, X1453:$i, X1454:$i]:((((setadjoin @ (setadjoin @ X1451 @ emptyset) @ (setadjoin @ (setadjoin @ X1451 @ (setadjoin @ X1452 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1453 @ emptyset) @ (setadjoin @ (setadjoin @ X1453 @ (setadjoin @ X1454 @ emptyset)) @ emptyset)))=>((X1452)=(X1454))))=>(![X1455:$i, X1456:$i, X1457:$i, X1458:$i]:((((kpair @ X1455 @ X1456)=(kpair @ X1457 @ X1458))=>((X1456)=(X1458))))=>(![X1459:$i]:(((iskpair @ X1459)=>(singleton @ (dsetconstr @ (setunion @ X1459) @ (^[Z0:$i]:(((X1459)=(kpair @ (kfst @ X1459) @ Z0))))))))=>(![X1460:$i, X1461:$i]:(((ksnd @ (kpair @ X1460 @ X1461))=(X1461)))=>(![X1462:$i]:(((iskpair @ X1462)=>((kpair @ (kfst @ X1462) @ (ksnd @ X1462))=(X1462))))=>(![X1463:$i, X1464:$i, X1465:$i]:(((in @ X1465 @ (cartprod @ X1463 @ X1464))=>(in @ (ksnd @ X1465) @ X1464)))=>(![X1466:$i, X1467:$i, X1468:$i, X1469:$i]:(((in @ (kpair @ X1468 @ X1469) @ (cartprod @ X1466 @ X1467))=>(in @ X1468 @ X1466)))=>(![X1470:$i, X1471:$i, X1472:$i, X1473:$i]:(((in @ (kpair @ X1472 @ X1473) @ (cartprod @ X1470 @ X1471))=>(in @ X1473 @ X1471)))=>(![X1474:$i, X1475:$i, X1476:$i]:(((in @ X1476 @ X1474)=>![X1477:$i]:(((in @ X1477 @ X1475)=>((kpair @ X1476 @ X1477)=(kpair @ X1476 @ X1477))))))=>(![X1478:$i, X1479:$i, X1480:$i]:(((in @ X1480 @ X1478)=>![X1481:$i]:(((in @ X1481 @ X1479)=>((kfst @ (kpair @ X1480 @ X1481))=(X1480))))))=>(![X1482:$i, X1483:$i, X1484:$i]:(((in @ X1484 @ X1482)=>![X1485:$i]:(((in @ X1485 @ X1483)=>((ksnd @ (kpair @ X1484 @ X1485))=(X1485))))))=>(![X1486:$i, X1487:$i, X1488:$i]:(((in @ X1488 @ (cartprod @ X1486 @ X1487))=>((kpair @ (kfst @ X1488) @ (ksnd @ X1488))=(X1488))))=>(![X1489:$i, X1490:$i, X1491:$i > $i > $o, X1492:$i]:(((in @ X1492 @ X1489)=>![X1493:$i]:(((in @ X1493 @ X1490)=>((X1491 @ X1492 @ X1493)=>(in @ (kpair @ X1492 @ X1493) @ (dpsetconstr @ X1489 @ X1490 @ X1491)))))))=>(![X1494:$i, X1495:$i, X1496:$i > $i > $o]:((subset @ (dpsetconstr @ X1494 @ X1495 @ X1496) @ (cartprod @ X1494 @ X1495)))=>(![X1497:$i, X1498:$i, X1499:$i > $i > $o]:((subset @ (dpsetconstr @ X1497 @ X1498 @ X1499) @ (cartprod @ X1497 @ X1498)))=>(![X1500:$i, X1501:$i, X1502:$i > $i > $o, X1503:$i]:(((in @ X1503 @ X1500)=>![X1504:$i]:(((in @ X1504 @ X1501)=>((in @ (kpair @ X1503 @ X1504) @ (dpsetconstr @ X1500 @ X1501 @ X1502))=>(X1502 @ X1503 @ X1504))))))=>(![X1505:$i, X1506:$i, X1507:$i > $i > $o, X1508:$i, X1509:$i]:(((in @ (kpair @ X1508 @ X1509) @ (dpsetconstr @ X1505 @ X1506 @ X1507))=>(in @ X1508 @ X1505)))=>(![X1510:$i, X1511:$i, X1512:$i > $i > $o, X1513:$i, X1514:$i]:(((in @ (kpair @ X1513 @ X1514) @ (dpsetconstr @ X1510 @ X1511 @ X1512))=>(in @ X1514 @ X1511)))=>(![X1515:$i, X1516:$i, X1517:$i > $i > $o, X1518:$i, X1519:$i]:(((in @ (kpair @ X1518 @ X1519) @ (dpsetconstr @ X1515 @ X1516 @ X1517))=>(X1517 @ X1518 @ X1519)))=>(![X1520:$i, X1521:$i, X1522:$i]:(((func @ X1520 @ X1521 @ X1522)=>![X1523:$i]:(((in @ X1523 @ X1520)=>(singleton @ (dsetconstr @ X1521 @ (^[Z0:$i]:((in @ (kpair @ X1523 @ Z0) @ X1522)))))))))=>(![X1524:$i, X1525:$i, X1526:$i]:(((func @ X1524 @ X1525 @ X1526)=>![X1527:$i]:(((in @ X1527 @ X1524)=>(in @ (setunion @ (dsetconstr @ X1525 @ (^[Z0:$i]:((in @ (kpair @ X1527 @ Z0) @ X1526))))) @ X1525)))))=>(![X1528:$i, X1529:$i, X1530:$i]:(((func @ X1528 @ X1529 @ X1530)=>![X1531:$i]:(((in @ X1531 @ X1528)=>(in @ (ap @ X1528 @ X1529 @ X1530 @ X1531) @ X1529)))))=>(![X1532:$i, X1533:$i, X1534:$i]:(((in @ X1534 @ (funcSet @ X1532 @ X1533))=>(func @ X1532 @ X1533 @ X1534)))=>(![X1535:$i, X1536:$i, X1537:$i]:(((in @ X1537 @ (funcSet @ X1535 @ X1536))=>![X1538:$i]:(((in @ X1538 @ X1535)=>(in @ (ap @ X1535 @ X1536 @ X1537 @ X1538) @ X1536)))))=>(![X1539:$i, X1540:$i, X1541:$i]:(((func @ X1539 @ X1540 @ X1541)=>(in @ X1541 @ (funcSet @ X1539 @ X1540))))=>(![X1542:$i, X1543:$i, X1544:$i > $i]:((![X1545:$i]:(((in @ X1545 @ X1542)=>(in @ (X1544 @ X1545) @ X1543)))=>(func @ X1542 @ X1543 @ (dpsetconstr @ X1542 @ X1543 @ (^[Z0:$i]:($eq @ (X1544 @ Z0)))))))=>(![X1546:$i, X1547:$i, X1548:$i > $i]:((![X1549:$i]:(((in @ X1549 @ X1546)=>(in @ (X1548 @ X1549) @ X1547)))=>(func @ X1546 @ X1547 @ (lam @ X1546 @ X1547 @ X1548))))=>(![X1550:$i, X1551:$i, X1552:$i > $i]:((![X1553:$i]:(((in @ X1553 @ X1550)=>(in @ (X1552 @ X1553) @ X1551)))=>(in @ (lam @ X1550 @ X1551 @ X1552) @ (funcSet @ X1550 @ X1551))))=>(![X1554:$i, X1555:$i, X1556:$i]:(((subset @ X1556 @ (cartprod @ X1554 @ X1555))=>![X1557:$i > $o]:((![X1558:$i]:(((in @ X1558 @ X1554)=>![X1559:$i]:(((in @ X1559 @ X1555)=>((in @ (kpair @ X1558 @ X1559) @ X1556)=>(X1557 @ (kpair @ X1558 @ X1559)))))))=>![X1560:$i]:(((in @ X1560 @ X1556)=>(X1557 @ X1560)))))))=>(![X1561:$i, X1562:$i, X1563:$i]:(((subset @ X1563 @ (cartprod @ X1561 @ X1562))=>![X1564:$i > $o]:((![X1565:$i]:(((in @ X1565 @ X1561)=>![X1566:$i]:(((in @ X1566 @ X1562)=>((in @ (kpair @ X1565 @ X1566) @ X1563)=>(X1564 @ (kpair @ X1565 @ X1566)))))))=>![X1567:$i]:(((in @ X1567 @ X1563)=>(X1564 @ X1567)))))))=>(![X1568:$i, X1569:$i > $o]:(((singleton @ (dsetconstr @ X1568 @ X1569))=>![X1570:$i]:(((in @ X1570 @ X1568)=>![X1571:$i]:(((in @ X1571 @ X1568)=>((X1569 @ X1570)=>((X1569 @ X1571)=>((X1570)=(X1571))))))))))=>(![X1572:$i, X1573:$i, X1574:$i]:(((func @ X1572 @ X1573 @ X1574)=>![X1575:$i]:(((in @ X1575 @ X1572)=>(in @ (kpair @ X1575 @ (ap @ X1572 @ X1573 @ X1574 @ X1575)) @ X1574)))))=>(![X1576:$i, X1577:$i, X1578:$i]:(((in @ X1578 @ (funcSet @ X1576 @ X1577))=>![X1579:$i]:(((in @ X1579 @ X1576)=>(in @ (kpair @ X1579 @ (ap @ X1576 @ X1577 @ X1578 @ X1579)) @ X1578)))))=>(![X1580:$i, X1581:$i, X1582:$i]:(((func @ X1580 @ X1581 @ X1582)=>![X1583:$i]:(((in @ X1583 @ X1580)=>![X1584:$i]:(((in @ X1584 @ X1581)=>((in @ (kpair @ X1583 @ X1584) @ X1582)=>((ap @ X1580 @ X1581 @ X1582 @ X1583)=(X1584)))))))))=>(![X1585:$i, X1586:$i, X1587:$i]:(((func @ X1585 @ X1586 @ X1587)=>![X1588:$i]:(((func @ X1585 @ X1586 @ X1588)=>(![X1589:$i]:(((in @ X1589 @ X1585)=>((ap @ X1585 @ X1586 @ X1587 @ X1589)=(ap @ X1585 @ X1586 @ X1588 @ X1589))))=>![X1590:$i]:(((in @ X1590 @ X1585)=>![X1591:$i]:(((in @ X1591 @ X1586)=>((in @ (kpair @ X1590 @ X1591) @ X1588)=>(in @ (kpair @ X1590 @ X1591) @ X1587)))))))))))=>(![X1592:$i, X1593:$i, X1594:$i]:(((in @ X1594 @ (funcSet @ X1592 @ X1593))=>![X1595:$i]:(((in @ X1595 @ X1592)=>![X1596:$i]:(((in @ X1596 @ X1593)=>((in @ (kpair @ X1595 @ X1596) @ X1594)=>((ap @ X1592 @ X1593 @ X1594 @ X1595)=(X1596)))))))))=>(![X1597:$i, X1598:$i, X1599:$i]:(((subset @ X1599 @ (cartprod @ X1597 @ X1598))=>![X1600:$i]:(((subset @ X1600 @ (cartprod @ X1597 @ X1598))=>(![X1601:$i]:(((in @ X1601 @ X1597)=>![X1602:$i]:(((in @ X1602 @ X1598)=>((in @ (kpair @ X1601 @ X1602) @ X1599)=>(in @ (kpair @ X1601 @ X1602) @ X1600))))))=>(subset @ X1599 @ X1600))))))=>(![X1603:$i, X1604:$i, X1605:$i]:(((subset @ X1605 @ (cartprod @ X1603 @ X1604))=>![X1606:$i]:(((subset @ X1606 @ (cartprod @ X1603 @ X1604))=>(![X1607:$i]:(((in @ X1607 @ X1603)=>![X1608:$i]:(((in @ X1608 @ X1604)=>((in @ (kpair @ X1607 @ X1608) @ X1605)=>(in @ (kpair @ X1607 @ X1608) @ X1606))))))=>(![X1609:$i]:(((in @ X1609 @ X1603)=>![X1610:$i]:(((in @ X1610 @ X1604)=>((in @ (kpair @ X1609 @ X1610) @ X1606)=>(in @ (kpair @ X1609 @ X1610) @ X1605))))))=>((X1605)=(X1606))))))))=>(![X1611:$i, X1612:$i, X1613:$i]:(((func @ X1611 @ X1612 @ X1613)=>![X1614:$i]:(((func @ X1611 @ X1612 @ X1614)=>(![X1615:$i]:(((in @ X1615 @ X1611)=>((ap @ X1611 @ X1612 @ X1613 @ X1615)=(ap @ X1611 @ X1612 @ X1614 @ X1615))))=>((X1613)=(X1614)))))))=>(![X1616:$i, X1617:$i, X1618:$i]:(((in @ X1618 @ (funcSet @ X1616 @ X1617))=>![X1619:$i]:(((in @ X1619 @ (funcSet @ X1616 @ X1617))=>(![X1620:$i]:(((in @ X1620 @ X1616)=>((ap @ X1616 @ X1617 @ X1618 @ X1620)=(ap @ X1616 @ X1617 @ X1619 @ X1620))))=>((X1618)=(X1619)))))))=>(![X1621:$i, X1622:$i, X1623:$i]:(((in @ X1623 @ (funcSet @ X1621 @ X1622))=>![X1624:$i]:(((in @ X1624 @ X1621)=>((ap @ X1621 @ X1622 @ X1623 @ X1624)=(ap @ X1621 @ X1622 @ X1623 @ X1624))))))=>(![X1625:$i, X1626:$i, X1627:$i]:(((func @ X1625 @ X1626 @ X1627)=>![X1628:$i]:(((in @ X1628 @ X1625)=>((ap @ X1625 @ X1626 @ X1627 @ X1628)=(ap @ X1625 @ X1626 @ X1627 @ X1628))))))=>(![X1629:$i, X1630:$i, X1631:$i > $i]:((![X1632:$i]:(((in @ X1632 @ X1629)=>(in @ (X1631 @ X1632) @ X1630)))=>![X1633:$i]:(((in @ X1633 @ X1629)=>((ap @ X1629 @ X1630 @ (lam @ X1629 @ X1630 @ X1631) @ X1633)=(X1631 @ X1633))))))=>(![X1634:$i, X1635:$i, X1636:$i]:(((func @ X1634 @ X1635 @ X1636)=>((lam @ X1634 @ X1635 @ (ap @ X1634 @ X1635 @ X1636))=(X1636))))=>(![X1637:$i, X1638:$i, X1639:$i > $i]:((![X1640:$i]:(((in @ X1640 @ X1637)=>(in @ (X1639 @ X1640) @ X1638)))=>((lam @ X1637 @ X1638 @ X1639)=(lam @ X1637 @ X1638 @ X1639))))=>(![X1641:$i, X1642:$i, X1643:$i > $i]:((![X1644:$i]:(((in @ X1644 @ X1641)=>(in @ (X1643 @ X1644) @ X1642)))=>![X1645:$i]:(((in @ X1645 @ X1641)=>((ap @ X1641 @ X1642 @ (lam @ X1641 @ X1642 @ X1643) @ X1645)=(X1643 @ X1645))))))=>(![X1646:$i, X1647:$i, X1648:$i]:(((in @ X1648 @ (funcSet @ X1646 @ X1647))=>((lam @ X1646 @ X1647 @ (ap @ X1646 @ X1647 @ X1648))=(X1648))))=>(![X1649:$i, X1650:$o, X1651:$i]:(((in @ X1651 @ X1649)=>![X1652:$i]:(((in @ X1652 @ X1649)=>(~(X1650)=>(in @ X1652 @ (dsetconstr @ X1649 @ (^[Z0:$i]:((((((X1650))&(((Z0)=(X1651)))))|(((~((X1650)))&(((Z0)=(X1652)))))))))))))))=>(![X1653:$i, X1654:$o, X1655:$i]:(((in @ X1655 @ X1653)=>![X1656:$i]:(((in @ X1656 @ X1653)=>(~(X1654)=>((dsetconstr @ X1653 @ (^[Z0:$i]:((((((X1654))&(((Z0)=(X1655)))))|(((~((X1654)))&(((Z0)=(X1656)))))))))=(setadjoin @ X1656 @ emptyset)))))))=>(![X1657:$i, X1658:$o, X1659:$i]:(((in @ X1659 @ X1657)=>![X1660:$i]:(((in @ X1660 @ X1657)=>((X1658)=>(in @ X1659 @ (dsetconstr @ X1657 @ (^[Z0:$i]:((((((X1658))&(((Z0)=(X1659)))))|(((~((X1658)))&(((Z0)=(X1660)))))))))))))))=>(![X1661:$i, X1662:$o, X1663:$i]:(((in @ X1663 @ X1661)=>![X1664:$i]:(((in @ X1664 @ X1661)=>((X1662)=>((dsetconstr @ X1661 @ (^[Z0:$i]:((((((X1662))&(((Z0)=(X1663)))))|(((~((X1662)))&(((Z0)=(X1664)))))))))=(setadjoin @ X1663 @ emptyset)))))))=>(![X1665:$i, X1666:$o, X1667:$i]:(((in @ X1667 @ X1665)=>![X1668:$i]:(((in @ X1668 @ X1665)=>(singleton @ (dsetconstr @ X1665 @ (^[Z0:$i]:((((((X1666))&(((Z0)=(X1667)))))|(((~((X1666)))&(((Z0)=(X1668))))))))))))))=>(![X1669:$i, X1670:$o, X1671:$i]:(((in @ X1671 @ X1669)=>![X1672:$i]:(((in @ X1672 @ X1669)=>(in @ (if @ X1669 @ ((X1670)) @ X1671 @ X1672) @ X1669)))))=>(![X1673:$i]:(((singleton @ X1673)=>![X1674:$i]:(((in @ X1674 @ X1673)=>((setunion @ X1673)=(X1674))))))=>(![X1675:$i, X1676:$o, X1677:$i]:(((in @ X1677 @ X1675)=>![X1678:$i]:(((in @ X1678 @ X1675)=>((X1676)=>((if @ X1675 @ ((X1676)) @ X1677 @ X1678)=(X1677)))))))=>(![X1679:$i, X1680:$o, X1681:$i]:(((in @ X1681 @ X1679)=>![X1682:$i]:(((in @ X1682 @ X1679)=>(~(X1680)=>((if @ X1679 @ ((X1680)) @ X1681 @ X1682)=(X1682)))))))=>(![X1683:$i, X1684:$o, X1685:$i]:(((in @ X1685 @ X1683)=>![X1686:$i]:(((in @ X1686 @ X1683)=>(in @ (if @ X1683 @ ((X1684)) @ X1685 @ X1686) @ (setadjoin @ X1685 @ (setadjoin @ X1686 @ emptyset)))))))=>(![X1687:$i, X1688:$i]:(((in @ X1688 @ (powerset @ X1687))=>![X1689:$i]:(((in @ X1689 @ (powerset @ X1687))=>(in @ (binintersect @ X1688 @ X1689) @ (powerset @ X1687))))))=>(![X1690:$i, X1691:$i]:(((in @ X1691 @ (powerset @ X1690))=>![X1692:$i]:(((in @ X1692 @ (powerset @ X1690))=>(in @ (binunion @ X1691 @ X1692) @ (powerset @ X1690))))))=>(![X1693:$i, X1694:$i]:(((in @ X1694 @ (powerset @ X1693))=>(in @ (powerset @ X1694) @ (powerset @ (powerset @ X1693)))))=>(![X1695:$i, X1696:$i]:(((in @ X1696 @ (powerset @ X1695))=>![X1697:$i]:(((in @ X1697 @ (powerset @ X1695))=>(in @ (setminus @ X1696 @ X1697) @ (powerset @ X1695))))))=>(![X1698:$i, X1699:$i]:(((in @ X1699 @ (powerset @ X1698))=>(in @ (setminus @ X1698 @ X1699) @ (powerset @ X1698))))=>(![X1700:$i, X1701:$i]:(((in @ X1701 @ (powerset @ X1700))=>![X1702:$i]:(((in @ X1702 @ (powerset @ X1700))=>(![X1703:$i]:(((in @ X1703 @ X1700)=>((in @ X1703 @ X1701)=>(in @ X1703 @ X1702))))=>(![X1704:$i]:(((in @ X1704 @ X1700)=>((in @ X1704 @ X1702)=>(in @ X1704 @ X1701))))=>((X1701)=(X1702))))))))=>(![X1705:$i, X1706:$i]:(((in @ X1706 @ (powerset @ X1705))=>![X1707:$i]:(((in @ X1707 @ (powerset @ X1705))=>(![X1708:$i]:(((in @ X1708 @ X1705)=>((in @ X1708 @ X1706)=>(in @ X1708 @ X1707))))=>(subset @ X1706 @ X1707))))))=>(![X1709:$i, X1710:$i]:(((in @ X1710 @ (powerset @ X1709))=>![X1711:$i]:(((in @ X1711 @ (powerset @ X1709))=>(![X1712:$i]:(((in @ X1712 @ X1709)=>((in @ X1712 @ X1710)=>(in @ X1712 @ X1711))))=>(in @ X1710 @ (powerset @ X1711)))))))=>(![X1713:$i, X1714:$i]:(((in @ X1714 @ (powerset @ X1713))=>![X1715:$i]:(((in @ X1715 @ (powerset @ X1713))=>![X1716:$i]:(((in @ X1716 @ X1713)=>((in @ X1714 @ (powerset @ X1715))=>((in @ X1716 @ X1714)=>(in @ X1716 @ X1715)))))))))=>(![X1717:$i, X1718:$i]:(((in @ X1718 @ (powerset @ X1717))=>![X1719:$i]:(((in @ X1719 @ X1717)=>((in @ X1719 @ X1718)=>~(in @ X1719 @ (setminus @ X1717 @ X1718)))))))=>(![X1720:$i, X1721:$i]:(((in @ X1721 @ (powerset @ X1720))=>![X1722:$i]:(((in @ X1722 @ X1720)=>(~(in @ X1722 @ (setminus @ X1720 @ X1721))=>(in @ X1722 @ X1721))))))=>(![X1723:$i, X1724:$i]:(((in @ X1724 @ (powerset @ X1723))=>![X1725:$i]:(((in @ X1725 @ (powerset @ X1723))=>![X1726:$i]:(((in @ X1726 @ X1723)=>(~(in @ X1726 @ X1724)=>~(in @ X1726 @ (binintersect @ X1724 @ X1725)))))))))=>(![X1727:$i, X1728:$i]:(((in @ X1728 @ (powerset @ X1727))=>![X1729:$i]:(((in @ X1729 @ (powerset @ X1727))=>![X1730:$i]:(((in @ X1730 @ X1727)=>(~(in @ X1730 @ X1729)=>~(in @ X1730 @ (binintersect @ X1728 @ X1729)))))))))=>(![X1731:$i, X1732:$i]:(((in @ X1732 @ (powerset @ X1731))=>![X1733:$i]:(((in @ X1733 @ (powerset @ X1731))=>![X1734:$i]:(((in @ X1734 @ X1731)=>((subset @ X1732 @ (setminus @ X1731 @ X1733))=>((in @ X1734 @ X1733)=>~(in @ X1734 @ X1732)))))))))=>(![X1735:$i, X1736:$i]:(((in @ X1736 @ (powerset @ X1735))=>![X1737:$i]:(((in @ X1737 @ (powerset @ X1735))=>![X1738:$i]:(((in @ X1738 @ X1735)=>((subset @ X1736 @ X1737)=>(~(in @ X1738 @ X1737)=>~(in @ X1738 @ X1736)))))))))=>(![X1739:$i, X1740:$i]:(((in @ X1740 @ (powerset @ X1739))=>![X1741:$i]:(((in @ X1741 @ (powerset @ X1739))=>((subset @ X1740 @ X1741)=>(subset @ (setminus @ X1739 @ X1741) @ (setminus @ X1739 @ X1740)))))))=>(![X1742:$i, X1743:$i]:(((in @ X1743 @ (powerset @ X1742))=>![X1744:$i]:(((in @ X1744 @ (powerset @ X1742))=>((subset @ (setminus @ X1742 @ X1744) @ (setminus @ X1742 @ X1743))=>(subset @ X1743 @ X1744))))))=>(![X1745:$i, X1746:$i]:(((in @ X1746 @ (powerset @ X1745))=>![X1747:$i]:(((in @ X1747 @ X1745)=>((in @ X1747 @ X1746)=>(in @ X1747 @ (setminus @ X1745 @ (setminus @ X1745 @ X1746))))))))=>(![X1748:$i, X1749:$i]:(((in @ X1749 @ (powerset @ X1748))=>![X1750:$i]:(((in @ X1750 @ X1748)=>((in @ X1750 @ (setminus @ X1748 @ (setminus @ X1748 @ X1749)))=>(in @ X1750 @ X1749))))))=>(![X1751:$i, X1752:$i]:(((in @ X1752 @ (powerset @ X1751))=>(subset @ X1752 @ (setminus @ X1751 @ (setminus @ X1751 @ X1752)))))=>(![X1753:$i, X1754:$i]:(((in @ X1754 @ (powerset @ X1753))=>(subset @ (setminus @ X1753 @ (setminus @ X1753 @ X1754)) @ X1754)))=>(![X1755:$i, X1756:$i]:(((in @ X1756 @ (powerset @ X1755))=>((X1756)=(setminus @ X1755 @ (setminus @ X1755 @ X1756)))))=>(![X1757:$i, X1758:$i]:(((in @ X1758 @ (powerset @ X1757))=>![X1759:$i]:(((in @ X1759 @ (powerset @ X1757))=>![X1760:$i]:(((in @ X1760 @ X1757)=>((in @ X1760 @ (setminus @ X1757 @ X1758))=>~(in @ X1760 @ (binintersect @ X1758 @ X1759)))))))))=>(![X1761:$i, X1762:$i]:(((in @ X1762 @ (powerset @ X1761))=>![X1763:$i]:(((in @ X1763 @ (powerset @ X1761))=>![X1764:$i]:(((in @ X1764 @ X1761)=>((in @ X1764 @ (setminus @ X1761 @ X1762))=>(in @ X1764 @ (setminus @ X1761 @ (binintersect @ X1762 @ X1763))))))))))=>(![X1765:$i, X1766:$i]:(((in @ X1766 @ (powerset @ X1765))=>![X1767:$i]:(((in @ X1767 @ (powerset @ X1765))=>(subset @ (setminus @ X1765 @ X1766) @ (setminus @ X1765 @ (binintersect @ X1766 @ X1767)))))))=>(![X1768:$i, X1769:$i]:(((in @ X1769 @ (powerset @ X1768))=>![X1770:$i]:(((in @ X1770 @ (powerset @ X1768))=>(in @ (setminus @ X1768 @ X1769) @ (powerset @ (setminus @ X1768 @ (binintersect @ X1769 @ X1770))))))))=>(![X1771:$i, X1772:$i]:(((in @ X1772 @ (powerset @ X1771))=>![X1773:$i]:(((in @ X1773 @ (powerset @ X1771))=>((subset @ X1772 @ (setminus @ X1771 @ X1773))=>![X1774:$i]:(((in @ X1774 @ X1771)=>((in @ X1774 @ X1773)=>(in @ X1774 @ (setminus @ X1771 @ X1772))))))))))=>(![X1775:$i, X1776:$i]:(((in @ X1776 @ (powerset @ X1775))=>![X1777:$i]:(((in @ X1777 @ (powerset @ X1775))=>((subset @ X1776 @ (setminus @ X1775 @ X1777))=>(subset @ X1777 @ (setminus @ X1775 @ X1776)))))))=>(![X1778:$i, X1779:$i]:(((in @ X1779 @ (powerset @ X1778))=>![X1780:$i]:(((in @ X1780 @ (powerset @ X1778))=>![X1781:$i]:(((in @ X1781 @ X1778)=>(~(in @ X1781 @ (binunion @ X1779 @ X1780))=>~(in @ X1781 @ X1779))))))))=>(![X1782:$i, X1783:$i]:(((in @ X1783 @ (powerset @ X1782))=>![X1784:$i]:(((in @ X1784 @ (powerset @ X1782))=>![X1785:$i]:(((in @ X1785 @ X1782)=>(~(in @ X1785 @ (binunion @ X1783 @ X1784))=>~(in @ X1785 @ X1784))))))))=>(![X1786:$i, X1787:$i]:(((in @ X1787 @ (powerset @ X1786))=>![X1788:$i]:(((in @ X1788 @ (powerset @ X1786))=>![X1789:$i]:(((in @ X1789 @ (powerset @ X1786))=>![X1790:$i]:(((in @ X1790 @ X1786)=>((in @ X1790 @ (binintersect @ X1787 @ X1788))=>(in @ X1790 @ (binunion @ X1787 @ X1789)))))))))))=>(![X1791:$i, X1792:$i]:(((in @ X1792 @ (powerset @ X1791))=>![X1793:$i]:(((in @ X1793 @ (powerset @ X1791))=>![X1794:$i]:(((in @ X1794 @ (powerset @ X1791))=>![X1795:$i]:(((in @ X1795 @ X1791)=>((in @ X1795 @ (binintersect @ X1792 @ X1793))=>(in @ X1795 @ (binunion @ X1793 @ X1794)))))))))))=>(![X1796:$i, X1797:$i]:(((in @ X1797 @ (powerset @ X1796))=>![X1798:$i]:(((in @ X1798 @ (powerset @ X1796))=>![X1799:$i]:(((in @ X1799 @ (powerset @ X1796))=>![X1800:$i]:(((in @ X1800 @ X1796)=>((in @ X1800 @ (binintersect @ X1797 @ X1798))=>(in @ X1800 @ (binintersect @ (binunion @ X1797 @ X1799) @ (binunion @ X1798 @ X1799))))))))))))=>(![X1801:$i, X1802:$i]:(((in @ X1802 @ (powerset @ X1801))=>![X1803:$i]:(((in @ X1803 @ (powerset @ X1801))=>![X1804:$i]:(((in @ X1804 @ (powerset @ X1801))=>(in @ (binintersect @ X1802 @ X1803) @ (powerset @ (binintersect @ (binunion @ X1802 @ X1804) @ (binunion @ X1803 @ X1804))))))))))=>(![X1805:$i, X1806:$i]:(((in @ X1806 @ (powerset @ X1805))=>![X1807:$i]:(((in @ X1807 @ (powerset @ X1805))=>![X1808:$i]:(((in @ X1808 @ X1805)=>((in @ X1808 @ (setminus @ X1805 @ (binunion @ X1806 @ X1807)))=>~(in @ X1808 @ X1806))))))))=>(![X1809:$i, X1810:$i]:(((in @ X1810 @ (powerset @ X1809))=>![X1811:$i]:(((in @ X1811 @ (powerset @ X1809))=>![X1812:$i]:(((in @ X1812 @ X1809)=>((in @ X1812 @ (setminus @ X1809 @ (binunion @ X1810 @ X1811)))=>(in @ X1812 @ (setminus @ X1809 @ X1810)))))))))=>(![X1813:$i, X1814:$i]:(((in @ X1814 @ (powerset @ X1813))=>![X1815:$i]:(((in @ X1815 @ (powerset @ X1813))=>![X1816:$o, X1817:$i]:(((in @ X1817 @ X1813)=>((in @ X1817 @ (binunion @ X1814 @ X1815))=>(((in @ X1817 @ X1814)=>(X1816))=>(((in @ X1817 @ X1815)=>(X1816))=>(X1816))))))))))=>(![X1818:$i, X1819:$i]:(((in @ X1819 @ (powerset @ X1818))=>![X1820:$i]:(((in @ X1820 @ (powerset @ X1818))=>![X1821:$i]:(((in @ X1821 @ X1818)=>(~(in @ X1821 @ X1819)=>(~(in @ X1821 @ X1820)=>~(in @ X1821 @ (binunion @ X1819 @ X1820))))))))))=>(![X1822:$i, X1823:$i]:(((in @ X1823 @ (powerset @ X1822))=>![X1824:$i]:(((in @ X1824 @ (powerset @ X1822))=>![X1825:$i]:(((in @ X1825 @ X1822)=>((in @ X1825 @ (setminus @ X1822 @ (binunion @ X1823 @ X1824)))=>(in @ X1825 @ (setminus @ X1822 @ X1823)))))))))=>(![X1826:$i, X1827:$i]:(((in @ X1827 @ (powerset @ X1826))=>![X1828:$i]:(((in @ X1828 @ (powerset @ X1826))=>(in @ (setminus @ X1826 @ (binunion @ X1827 @ X1828)) @ (powerset @ (setminus @ X1826 @ X1827)))))))=>(![X1829:$i, X1830:$i]:(((in @ X1830 @ (powerset @ X1829))=>![X1831:$i]:(((in @ X1831 @ (powerset @ X1829))=>![X1832:$i]:(((in @ X1832 @ X1829)=>((in @ X1832 @ (setminus @ X1829 @ (binunion @ X1830 @ X1831)))=>(in @ X1832 @ (setminus @ X1829 @ X1831)))))))))=>(![X1833:$i, X1834:$i]:(((in @ X1834 @ (powerset @ X1833))=>![X1835:$i]:(((in @ X1835 @ (powerset @ X1833))=>![X1836:$i]:(((in @ X1836 @ X1833)=>((in @ X1836 @ (setminus @ X1833 @ (binintersect @ X1834 @ X1835)))=>(in @ X1836 @ (binunion @ (setminus @ X1833 @ X1834) @ (setminus @ X1833 @ X1835))))))))))=>(![X1837:$i, X1838:$i]:(((in @ X1838 @ (powerset @ X1837))=>![X1839:$i]:(((in @ X1839 @ (powerset @ X1837))=>![X1840:$i]:(((in @ X1840 @ X1837)=>((in @ X1840 @ (binunion @ (setminus @ X1837 @ X1838) @ (setminus @ X1837 @ X1839)))=>(in @ X1840 @ (setminus @ X1837 @ (binintersect @ X1838 @ X1839))))))))))=>(![X1841:$i, X1842:$i]:(((in @ X1842 @ (powerset @ X1841))=>![X1843:$i]:(((in @ X1843 @ (powerset @ X1841))=>((setminus @ X1841 @ (binintersect @ X1842 @ X1843))=(binunion @ (setminus @ X1841 @ X1842) @ (setminus @ X1841 @ X1843)))))))=>(![X1844:$i, X1845:$i]:(((in @ X1845 @ (powerset @ X1844))=>![X1846:$i]:(((in @ X1846 @ (powerset @ X1844))=>![X1847:$i]:(((in @ X1847 @ X1844)=>((in @ X1847 @ (setminus @ X1844 @ (binunion @ X1845 @ X1846)))=>(in @ X1847 @ (binintersect @ (setminus @ X1844 @ X1845) @ (setminus @ X1844 @ X1846))))))))))=>(![X1848:$i, X1849:$i]:(((in @ X1849 @ (powerset @ X1848))=>![X1850:$i]:(((in @ X1850 @ (powerset @ X1848))=>![X1851:$i]:(((in @ X1851 @ X1848)=>((in @ X1851 @ (setminus @ X1848 @ X1849))=>((in @ X1851 @ (setminus @ X1848 @ X1850))=>(in @ X1851 @ (setminus @ X1848 @ (binunion @ X1849 @ X1850)))))))))))=>(![X1852:$i, X1853:$i]:(((in @ X1853 @ (powerset @ X1852))=>![X1854:$i]:(((in @ X1854 @ (powerset @ X1852))=>![X1855:$i]:(((in @ X1855 @ X1852)=>((in @ X1855 @ (binintersect @ (setminus @ X1852 @ X1853) @ (setminus @ X1852 @ X1854)))=>(in @ X1855 @ (setminus @ X1852 @ (binunion @ X1853 @ X1854))))))))))=>(![X1856:$i, X1857:$i]:(((in @ X1857 @ (powerset @ X1856))=>![X1858:$i]:(((in @ X1858 @ (powerset @ X1856))=>((setminus @ X1856 @ (binunion @ X1857 @ X1858))=(binintersect @ (setminus @ X1856 @ X1857) @ (setminus @ X1856 @ X1858)))))))=>(![X1859:$i, X1860:$i]:(((in @ X1860 @ (powerset @ X1859))=>![X1861:$i]:(((in @ X1861 @ (powerset @ X1859))=>![X1862:$i]:(((in @ X1862 @ (binintersect @ X1860 @ X1861))=>(in @ X1862 @ X1859)))))))=>(![X1863:$i, X1864:$i]:(((in @ X1864 @ (powerset @ X1863))=>![X1865:$i]:(((in @ X1865 @ (powerset @ X1863))=>![X1866:$i]:(((in @ X1866 @ (powerset @ X1863))=>((subset @ X1864 @ X1866)=>(subset @ (binintersect @ X1864 @ X1865) @ X1866))))))))=>(![X1867:$i, X1868:$i]:(((in @ X1868 @ (powerset @ X1867))=>![X1869:$i]:(((in @ X1869 @ (powerset @ X1867))=>![X1870:$i]:(((in @ X1870 @ (powerset @ X1867))=>((subset @ X1869 @ X1870)=>(subset @ (binintersect @ X1868 @ X1869) @ X1870))))))))=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X48)=>((subset @ X21 @ X49)=>(subset @ X21 @ (binintersect @ X48 @ X49)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_304, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_305]), foundationAx]), wellorderingAx]), c_0_306]), c_0_307]), c_0_308]), c_0_309]), c_0_310]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_311]), setext]), emptyI]), noeltsimpempty]), c_0_312]), c_0_313]), c_0_314]), c_0_315]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_316]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_317]), c_0_318]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_319]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_320]), c_0_321]), c_0_322]), inCongP]), in__Cong]), c_0_323]), c_0_324]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_325]), c_0_326]), c_0_327]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_328]), c_0_329]), 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_330]), c_0_331]), c_0_332]), c_0_333]), singletonsuniq]), setukpairinjL1]), c_0_334]), theprop]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), c_0_335]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), cartprodpairsurjEq]), c_0_336]), c_0_337]), c_0_338]), c_0_339]), c_0_340]), c_0_341]), c_0_342]), c_0_343]), c_0_344]), app]), infuncsetfunc]), ap2p]), funcinfuncset]), c_0_345]), c_0_346]), c_0_347]), c_0_348]), c_0_349]), c_0_350]), funcGraphProp1]), funcGraphProp3]), funcGraphProp2]), funcextLem]), funcGraphProp4]), c_0_351]), c_0_352]), funcext]), funcext2]), ap2apEq1]), ap2apEq2]), c_0_353]), c_0_354]), c_0_355]), c_0_356]), c_0_357]), c_0_358]), c_0_359]), c_0_360]), c_0_361]), c_0_362]), ifp]), theeq]), iftrue]), iffalse]), iftrueorfalse]), binintersectT_lem]), binunionT_lem]), powersetT_lem]), setminusT_lem]), complementT_lem]), setextT]), subsetTI]), powersetTI1]), powersetTE1]), complementTI1]), complementTE1]), binintersectTELcontra]), binintersectTERcontra]), contrasubsetT]), contrasubsetT1]), contrasubsetT2]), contrasubsetT3]), doubleComplementI1]), doubleComplementE1]), doubleComplementSub1]), doubleComplementSub2]), doubleComplementEq]), complementTnotintersectT]), complementImpComplementIntersect]), complementSubsetComplementIntersect]), complementInPowersetComplementIntersect]), contraSubsetComplement]), complementTcontraSubset]), binunionTILcontra]), binunionTIRcontra]), inIntersectImpInUnion]), inIntersectImpInUnion2]), inIntersectImpInIntersectUnions]), intersectInPowersetIntersectUnions]), inComplementUnionImpNotIn1]), inComplementUnionImpInComplement1]), binunionTE]), binunionTEcontra]), demorgan2a1]), complementUnionInPowersetComplement]), demorgan2a2]), demorgan1a]), demorgan1b]), demorgan1]), demorgan2a]), demorgan2b2]), demorgan2b]), demorgan2]), woz13rule0]), woz13rule1]), woz13rule2])])]), c_0_363])).
% 2.25/0.67 thf(c_0_365, negated_conjecture, ![X1871:$i, X1872:$i, X1874:$i, X1875:$i, X1876:$i, X1877:$i, X1878:$i, X1879:$i, X1880:$i, X1881:$i, X1882:$i, X1884:$i, X1885:$i, X1887:$i, X1888:$i, X1889:$i, X1890:$i, X1891:$i, X1893:$i, X1894:$i > $i > $o, X1895:$i, X1897:$i, X1900:$i, X1902:$i, X1903:$i, X1904:$i, X1905:$i, X1907:$i, X1908:$i > $o, X1909:$i, X1911:$i, X1912:$i > $o, X1913:$i, X1914:$i, X1915:$i > $o, X1916:$i, X1917:$i, X1918:$i > $o, X1919:$i, X1920:$i > $o, X1921:$i, X1924:$i, X1925:$o, X1926:$i, X1927:$i, X1928:$o, X1929:$i, X1930:$i, X1931:$i > $o, X1932:$i, X1935:$i, X1936:$i, X1939:$i, X1941:$i, X1943:$i, X1944:$i > $o, X1945:$i, X1946:$i, X1948:$i, X1949:$i > $o, X1950:$i, X1951:$i, X1952:$i, X1953:$i, X1954:$i, X1955:$i, X1956:$i, X1957:$i, X1958:$i, X1959:$i, X1960:$i, X1961:$o, X1962:$i, X1963:$i, X1964:$i, X1965:$i, X1966:$i, X1967:$i, X1969:$i, X1970:$i, X1971:$i, X1972:$i, X1973:$i, X1974:$i, X1975:$i, X1976:$i, X1977:$i, X1978:$i, X1979:$o, X1981:$i, X1982:$i, X1983:$i > $o, X1984:$i, X1987:$i, X1988:$i, X1989:$i, X1991:$i, X1992:$i, X1993:$i, X1994:$i, X1995:$i, X1996:$i, X1997:$i, X1998:$i, X1999:$i, X2000:$i, X2001:$i, X2002:$i, X2003:$i, X2004:$i, X2005:$i, X2006:$i, X2007:$i > $o, X2008:$i, X2009:$i > $o, X2010:$i, X2011:$i, X2012:$i > $o, X2013:$i, X2015:$i, X2016:$i > $o, X2018:$i, X2019:$i, X2020:$i > $o, X2022:$i, X2023:$i, X2024:$i > $o, X2025:$i, X2027:$o, X2028:$o, X2029:$i, X2030:$i > $o, X2032:$i, X2033:$i, X2034:$i > $o, X2035:$i, X2037:$i > $o, X2038:$i, X2041:$i, X2042:$i > $o, X2043:$i, X2047:$i, X2048:$i > $o, X2049:$i, X2052:$i, X2053:$i, X2054:$i, X2055:$i, X2056:$i, X2057:$i, X2058:$i, X2059:$i, X2060:$i, X2061:$i > $o, X2062:$i, X2064:$i, X2065:$i, X2066:$i > $o, X2067:$i > $o, X2070:$i, X2073:$i, X2074:$i, X2077:$i, X2078:$i, X2079:$i, X2080:$i, X2081:$i, X2082:$i, X2083:$i, X2084:$i, X2085:$i, X2086:$i > $o, X2087:$i, X2089:$i, X2090:$i, X2091:$i > $o, X2092:$i > $o, X2095:$i, X2097:$i, X2099:$i, X2100:$i, X2101:$i > $o, X2102:$i > $o, X2105:$i, X2106:$i, X2108:$i, X2109:$i, X2110:$i, X2111:$i, X2112:$i, X2113:$i, X2115:$i, X2116:$i, X2117:$i, X2118:$i, X2119:$i, X2120:$i, X2121:$i, X2122:$i, X2123:$i, X2124:$i, X2125:$i, X2126:$i, X2127:$i, X2128:$i, X2129:$i, X2130:$i, X2131:$i, X2132:$i, X2133:$i, X2134:$i, X2135:$i, X2136:$i, X2137:$i, X2138:$i, X2139:$i, X2140:$i, X2141:$i, X2142:$i, X2143:$i, X2144:$i, X2145:$i, X2146:$i, X2147:$i, X2148:$i, X2149:$i, X2150:$i, X2151:$i, X2152:$i > $o, X2153:$i, X2154:$i > $o, X2155:$i, X2156:$i, X2157:$i, X2158:$i, X2159:$i, X2160:$i, X2161:$i, X2162:$i, X2163:$i, X2164:$i, X2165:$i, X2166:$o, X2167:$i, X2168:$i, X2169:$i, X2170:$i, X2171:$i, X2172:$i, X2173:$i, X2174:$i, X2175:$i, X2176:$i, X2177:$i, X2178:$i, X2179:$i, X2180:$i, X2181:$i, X2182:$i, X2183:$i, X2184:$i, X2185:$i, X2186:$i, X2187:$i, X2188:$i, X2189:$i, X2190:$i, X2191:$i, X2192:$i, X2193:$i, X2195:$i, X2196:$i, X2197:$i, X2198:$i, X2199:$i, X2200:$i, X2201:$i, X2202:$i, X2203:$i, X2204:$i, X2205:$i, X2206:$i, X2207:$i, X2208:$i, X2209:$i, X2210:$i, X2211:$i, X2212:$i, X2213:$i, X2214:$i, X2215:$i, X2216:$i, X2217:$i, X2218:$i, X2219:$i, X2220:$i, X2221:$i, X2222:$i, X2223:$i, X2224:$i, X2225:$i, X2226:$i, X2227:$i, X2228:$i, X2229:$i, X2230:$i, X2231:$i, X2232:$i, X2233:$i, X2234:$o, X2235:$i, X2236:$i, X2237:$i, X2238:$i, X2239:$i, X2240:$i, X2241:$i, X2242:$i, X2243:$i, X2244:$i, X2245:$i, X2246:$i, X2247:$i, X2248:$i, X2249:$i, X2250:$i, X2251:$i, X2252:$i, X2253:$i, X2254:$i, X2255:$i, X2256:$i, X2257:$i, X2258:$i, X2259:$i, X2260:$i, X2261:$i, X2262:$i, X2263:$i, X2264:$i, X2265:$i, X2266:$i, X2267:$i, X2268:$i, X2269:$i, X2270:$i, X2271:$i, X2272:$i, X2273:$i, X2274:$i, X2275:$i, X2276:$i, X2277:$i, X2278:$i, X2279:$i, X2280:$i, X2281:$i, X2282:$i, X2283:$i, X2284:$i, X2285:$i, X2286:$i, X2287:$i, X2288:$i, X2289:$i, X2290:$i, X2291:$i, X2292:$i, X2293:$i, X2296:$i, X2297:$i, X2298:$i, X2299:$i, X2300:$i, X2302:$i, X2303:$i, X2304:$i, X2305:$i, X2306:$i > $o, X2309:$i, X2310:$i, X2311:$i > $o, X2313:$i, X2314:$i > $o, X2315:$i, X2317:$i, X2318:$i > $o, X2321:$i, X2322:$i, X2323:$i, X2324:$i, X2325:$i, X2326:$i, X2327:$i, X2328:$i, X2329:$i, X2330:$i, X2331:$i, X2332:$i, X2333:$i, X2334:$i, X2335:$i, X2336:$i, X2337:$i, X2338:$i, X2339:$i, X2340:$i, X2341:$i, X2342:$i, X2343:$i, X2344:$i, X2345:$i, X2346:$i, X2347:$i, X2348:$i, X2349:$i, X2350:$i, X2351:$i, X2352:$i, X2353:$i, X2354:$i, X2355:$i, X2356:$i, X2357:$i, X2358:$i, X2359:$i, X2360:$i, X2361:$i, X2362:$i, X2363:$i, X2364:$i, X2365:$i, X2366:$i, X2367:$i, X2368:$i, X2369:$i, X2370:$i, X2371:$i, X2372:$i, X2373:$i, X2374:$i, X2375:$i, X2376:$i, X2377:$i, X2378:$i, X2379:$i, X2380:$i, X2381:$i, X2382:$i, X2383:$i, X2384:$i, X2385:$i, X2386:$i, X2387:$i, X2388:$i, X2389:$i, X2390:$i, X2391:$i, X2392:$i, X2393:$i > $i > $o, X2394:$i, X2395:$i, X2396:$i, X2397:$i, X2398:$i > $i > $o, X2399:$i, X2400:$i, X2401:$i > $i > $o, X2402:$i, X2403:$i, X2404:$i > $i > $o, X2405:$i, X2406:$i, X2407:$i, X2408:$i, X2409:$i > $i > $o, X2410:$i, X2411:$i, X2412:$i, X2413:$i, X2414:$i > $i > $o, X2415:$i, X2416:$i, X2417:$i, X2418:$i, X2419:$i > $i > $o, X2420:$i, X2421:$i, X2422:$i, X2423:$i, X2424:$i, X2425:$i, X2426:$i, X2427:$i, X2428:$i, X2429:$i, X2430:$i, X2431:$i, X2432:$i, X2433:$i, X2434:$i, X2435:$i, X2436:$i, X2437:$i, X2438:$i, X2439:$i, X2440:$i, X2441:$i, X2442:$i, X2443:$i, X2444:$i, X2445:$i, X2446:$i > $i, X2448:$i, X2449:$i, X2450:$i > $i, X2452:$i, X2453:$i, X2454:$i > $i, X2456:$i, X2457:$i, X2458:$i, X2459:$i > $o, X2462:$i, X2463:$i, X2464:$i, X2465:$i, X2466:$i > $o, X2469:$i, X2470:$i, X2471:$i > $o, X2472:$i, X2473:$i, X2474:$i, X2475:$i, X2476:$i, X2477:$i, X2478:$i, X2479:$i, X2480:$i, X2481:$i, X2482:$i, X2483:$i, X2484:$i, X2485:$i, X2486:$i, X2487:$i, X2488:$i, X2489:$i, X2490:$i, X2492:$i, X2493:$i, X2494:$i, X2495:$i, X2496:$i, X2497:$i, X2498:$i, X2499:$i, X2500:$i, X2501:$i, X2502:$i, X2505:$i, X2506:$i, X2507:$i, X2508:$i, X2513:$i, X2514:$i, X2515:$i, X2516:$i, X2518:$i, X2519:$i, X2520:$i, X2521:$i, X2523:$i, X2524:$i, X2525:$i, X2526:$i, X2527:$i, X2528:$i, X2529:$i, X2530:$i, X2531:$i, X2532:$i, X2533:$i > $i, X2535:$i, X2536:$i, X2537:$i, X2538:$i, X2539:$i, X2540:$i, X2541:$i > $i, X2543:$i, X2544:$i, X2545:$i > $i, X2547:$i, X2548:$i, X2549:$i, X2550:$i, X2551:$i, X2552:$o, X2553:$i, X2554:$i, X2555:$i, X2556:$o, X2557:$i, X2558:$i, X2559:$i, X2560:$o, X2561:$i, X2562:$i, X2563:$i, X2564:$o, X2565:$i, X2566:$i, X2567:$i, X2568:$o, X2569:$i, X2570:$i, X2571:$i, X2572:$o, X2573:$i, X2574:$i, X2575:$i, X2576:$i, X2577:$i, X2578:$o, X2579:$i, X2580:$i, X2581:$i, X2582:$o, X2583:$i, X2584:$i, X2585:$i, X2586:$o, X2587:$i, X2588:$i, X2589:$i, X2590:$i, X2591:$i, X2592:$i, X2593:$i, X2594:$i, X2595:$i, X2596:$i, X2597:$i, X2598:$i, X2599:$i, X2600:$i, X2601:$i, X2602:$i, X2603:$i, X2604:$i, X2607:$i, X2608:$i, X2609:$i, X2611:$i, X2612:$i, X2613:$i, X2615:$i, X2616:$i, X2617:$i, X2618:$i, X2619:$i, X2620:$i, X2621:$i, X2622:$i, X2623:$i, X2624:$i, X2625:$i, X2626:$i, X2627:$i, X2628:$i, X2629:$i, X2630:$i, X2631:$i, X2632:$i, X2633:$i, X2634:$i, X2635:$i, X2636:$i, X2637:$i, X2638:$i, X2639:$i, X2640:$i, X2641:$i, X2642:$i, X2643:$i, X2644:$i, X2645:$i, X2646:$i, X2647:$i, X2648:$i, X2649:$i, X2650:$i, X2651:$i, X2652:$i, X2653:$i, X2654:$i, X2655:$i, X2656:$i, X2657:$i, X2658:$i, X2659:$i, X2660:$i, X2661:$i, X2662:$i, X2663:$i, X2664:$i, X2665:$i, X2666:$i, X2667:$i, X2668:$i, X2669:$i, X2670:$i, X2671:$i, X2672:$i, X2673:$i, X2674:$i, X2675:$i, X2676:$i, X2677:$i, X2678:$i, X2679:$i, X2680:$i, X2681:$i, X2682:$i, X2683:$i, X2684:$i, X2685:$i, X2686:$i, X2687:$i, X2688:$i, X2689:$i, X2690:$i, X2691:$i, X2692:$i, X2693:$i, X2694:$i, X2695:$i, X2696:$i, X2697:$i, X2698:$i, X2699:$i, X2700:$i, X2701:$i, X2702:$i, X2703:$i, X2704:$i, X2705:$i, X2706:$i, X2707:$i, X2708:$i, X2709:$i, X2710:$i, X2711:$i, X2712:$i, X2713:$i, X2714:$i, X2715:$i, X2716:$i, X2717:$i, X2718:$o, X2719:$i, X2720:$i, X2721:$i, X2722:$i, X2723:$i, X2724:$i, X2725:$i, X2726:$i, X2727:$i, X2728:$i, X2729:$i, X2730:$i, X2731:$i, X2732:$i, X2733:$i, X2734:$i, X2735:$i, X2736:$i, X2737:$i, X2738:$i, X2739:$i, X2740:$i, X2741:$i, X2742:$i, X2743:$i, X2744:$i, X2745:$i, X2746:$i, X2747:$i, X2748:$i, X2749:$i, X2750:$i, X2751:$i, X2752:$i, X2753:$i, X2754:$i, X2755:$i, X2756:$i, X2757:$i, X2758:$i, X2759:$i, X2760:$i, X2761:$i, X2762:$i, X2763:$i, X2764:$i, X2765:$i, X2766:$i, X2767:$i, X2768:$i, X2769:$i, X2770:$i, X2771:$i, X2772:$i]:((((~(in @ (esk1_2 @ X1871 @ X1872) @ X1871)|~(in @ (esk1_2 @ X1871 @ X1872) @ X1872)|((X1871)=(X1872)))&((in @ (esk1_2 @ X1871 @ X1872) @ X1871)|(in @ (esk1_2 @ X1871 @ X1872) @ X1872)|((X1871)=(X1872))))&(~(in @ X1874 @ emptyset)&(((~(in @ X1877 @ (setadjoin @ X1875 @ X1876))|(((X1877)=(X1875))|(in @ X1877 @ X1876)))&((((X1877)!=(X1875))|(in @ X1877 @ (setadjoin @ X1875 @ X1876)))&(~(in @ X1877 @ X1876)|(in @ X1877 @ (setadjoin @ X1875 @ X1876)))))&(((~(in @ X1879 @ (powerset @ X1878))|(~(in @ X1880 @ X1879)|(in @ X1880 @ X1878)))&(((in @ (esk2_2 @ X1881 @ X1882) @ X1882)|(in @ X1882 @ (powerset @ X1881)))&(~(in @ (esk2_2 @ X1881 @ X1882) @ X1881)|(in @ X1882 @ (powerset @ X1881)))))&(((((in @ X1885 @ (esk3_2 @ X1884 @ X1885))|~(in @ X1885 @ (setunion @ X1884)))&((in @ (esk3_2 @ X1884 @ X1885) @ X1884)|~(in @ X1885 @ (setunion @ X1884))))&(~(in @ X1888 @ X1889)|~(in @ X1889 @ X1887)|(in @ X1888 @ (setunion @ X1887))))&((in @ emptyset @ omega)&((~(in @ X1890 @ omega)|(in @ (setadjoin @ X1890 @ X1890) @ omega))&(((((in @ (esk4_1 @ X1891) @ omega)|~(in @ emptyset @ X1891)|(~(in @ X1893 @ omega)|(in @ X1893 @ X1891)))&((in @ (esk4_1 @ X1891) @ X1891)|~(in @ emptyset @ X1891)|(~(in @ X1893 @ omega)|(in @ X1893 @ X1891))))&(~(in @ (setadjoin @ (esk4_1 @ X1891) @ (esk4_1 @ X1891)) @ X1891)|~(in @ emptyset @ X1891)|(~(in @ X1893 @ omega)|(in @ X1893 @ X1891))))&((((((in @ (esk8_3 @ X1894 @ X1895 @ X1900) @ X1895)|~(in @ X1900 @ (esk7_2 @ X1894 @ X1895))|(in @ (esk5_2 @ X1894 @ X1895) @ X1895))&((X1894 @ (esk8_3 @ X1894 @ X1895 @ X1900) @ X1900)|~(in @ X1900 @ (esk7_2 @ X1894 @ X1895))|(in @ (esk5_2 @ X1894 @ X1895) @ X1895)))&(~(in @ X1903 @ X1895)|~(X1894 @ X1903 @ X1902)|(in @ X1902 @ (esk7_2 @ X1894 @ X1895))|(in @ (esk5_2 @ X1894 @ X1895) @ X1895)))&(((((in @ (esk8_3 @ X1894 @ X1895 @ X1900) @ X1895)|~(in @ X1900 @ (esk7_2 @ X1894 @ X1895))|((X1894 @ (esk5_2 @ X1894 @ X1895) @ (esk6_3 @ X1894 @ X1895 @ X1897))|~(X1894 @ (esk5_2 @ X1894 @ X1895) @ X1897)))&((X1894 @ (esk8_3 @ X1894 @ X1895 @ X1900) @ X1900)|~(in @ X1900 @ (esk7_2 @ X1894 @ X1895))|((X1894 @ (esk5_2 @ X1894 @ X1895) @ (esk6_3 @ X1894 @ X1895 @ X1897))|~(X1894 @ (esk5_2 @ X1894 @ X1895) @ X1897))))&(~(in @ X1903 @ X1895)|~(X1894 @ X1903 @ X1902)|(in @ X1902 @ (esk7_2 @ X1894 @ X1895))|((X1894 @ (esk5_2 @ X1894 @ X1895) @ (esk6_3 @ X1894 @ X1895 @ X1897))|~(X1894 @ (esk5_2 @ X1894 @ X1895) @ X1897))))&((((in @ (esk8_3 @ X1894 @ X1895 @ X1900) @ X1895)|~(in @ X1900 @ (esk7_2 @ X1894 @ X1895))|(((X1897)!=(esk6_3 @ X1894 @ X1895 @ X1897))|~(X1894 @ (esk5_2 @ X1894 @ X1895) @ X1897)))&((X1894 @ (esk8_3 @ X1894 @ X1895 @ X1900) @ X1900)|~(in @ X1900 @ (esk7_2 @ X1894 @ X1895))|(((X1897)!=(esk6_3 @ X1894 @ X1895 @ X1897))|~(X1894 @ (esk5_2 @ X1894 @ X1895) @ X1897))))&(~(in @ X1903 @ X1895)|~(X1894 @ X1903 @ X1902)|(in @ X1902 @ (esk7_2 @ X1894 @ X1895))|(((X1897)!=(esk6_3 @ X1894 @ X1895 @ X1897))|~(X1894 @ (esk5_2 @ X1894 @ X1895) @ X1897))))))&((((in @ (esk9_1 @ X1904) @ X1904)|~(in @ X1905 @ X1904))&(~(in @ X1907 @ (esk9_1 @ X1904))|~(in @ X1907 @ X1904)|~(in @ X1905 @ X1904)))&((epred1_0)&((((X1908 @ (esk10_2 @ X1908 @ X1909))|~(X1908 @ X1909)|(X1908 @ (descr @ X1908)))&(((X1909)!=(esk10_2 @ X1908 @ X1909))|~(X1908 @ X1909)|(X1908 @ (descr @ X1908))))&((~(in @ X1913 @ X1911)|(~(X1912 @ X1913)|(in @ X1913 @ (dsetconstr @ X1911 @ X1912))))&((~(in @ X1916 @ (dsetconstr @ X1914 @ X1915))|(in @ X1916 @ X1914))&((~(in @ X1919 @ (dsetconstr @ X1917 @ X1918))|(X1918 @ X1919))&(((((X1920 @ (esk12_1 @ X1920))|((X1920 @ (esk11_2 @ X1920 @ X1921))|~(X1920 @ X1921)))&(~(X1920 @ X1924)|((esk12_1 @ X1920)=(X1924))|((X1920 @ (esk11_2 @ X1920 @ X1921))|~(X1920 @ X1921))))&(((X1920 @ (esk12_1 @ X1920))|(((X1921)!=(esk11_2 @ X1920 @ X1921))|~(X1920 @ X1921)))&(~(X1920 @ X1924)|((esk12_1 @ X1920)=(X1924))|(((X1921)!=(esk11_2 @ X1920 @ X1921))|~(X1920 @ X1921)))))&((~(in @ X1926 @ (prop2set @ ((X1925))))|(X1925))&((~(in @ X1927 @ emptyset)|(X1928))&((~(in @ X1929 @ emptyset)|~($true))&(~(in @ X1930 @ emptyset)&((((X1931 @ (esk13_2 @ X1931 @ X1932))|~(X1931 @ X1932)|(X1931 @ (esk14_1 @ X1931)))&(((X1932)!=(esk13_2 @ X1931 @ X1932))|~(X1931 @ X1932)|(X1931 @ (esk14_1 @ X1931))))&(((((in @ (esk16_2 @ X1935 @ X1936) @ X1936)|((X1935)=(X1936))|(in @ (esk15_2 @ X1935 @ X1936) @ X1935))&(~(in @ (esk16_2 @ X1935 @ X1936) @ X1935)|((X1935)=(X1936))|(in @ (esk15_2 @ X1935 @ X1936) @ X1935)))&(((in @ (esk16_2 @ X1935 @ X1936) @ X1936)|((X1935)=(X1936))|~(in @ (esk15_2 @ X1935 @ X1936) @ X1936))&(~(in @ (esk16_2 @ X1935 @ X1936) @ X1935)|((X1935)=(X1936))|~(in @ (esk15_2 @ X1935 @ X1936) @ X1936))))&(((in @ (esk17_1 @ X1939) @ X1939)|((X1939)=(emptyset)))&(((in @ (esk18_1 @ X1941) @ X1941)|((X1941)=(emptyset)))&(((~(in @ X1945 @ (dsetconstr @ X1943 @ X1944))|(X1944 @ X1945)|~(in @ X1945 @ X1943))&(~(X1944 @ X1945)|(in @ X1945 @ (dsetconstr @ X1943 @ X1944))|~(in @ X1945 @ X1943)))&((((X1946)=(emptyset))|(in @ (esk19_1 @ X1946) @ X1946))&((~(in @ X1950 @ X1948)|(~(X1949 @ X1950)|((dsetconstr @ X1948 @ X1949)!=(emptyset))))&((~(in @ X1952 @ X1951)|((X1951)!=(emptyset)))&((in @ X1953 @ (setadjoin @ X1953 @ X1954))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1957 @ X1956)|(in @ X1957 @ (setadjoin @ X1955 @ X1956)))&(((((in @ X1960 @ X1959)|(X1961)|((X1960)=(X1958))|~(in @ X1960 @ (setadjoin @ X1958 @ X1959)))&(~(X1961)|(X1961)|((X1960)=(X1958))|~(in @ X1960 @ (setadjoin @ X1958 @ X1959))))&(((in @ X1960 @ X1959)|(X1961)|~(X1961)|~(in @ X1960 @ (setadjoin @ X1958 @ X1959)))&(~(X1961)|(X1961)|~(X1961)|~(in @ X1960 @ (setadjoin @ X1958 @ X1959)))))&((~(in @ X1964 @ (setadjoin @ X1962 @ X1963))|(((X1964)=(X1962))|(in @ X1964 @ X1963)))&(((dsetconstr @ X1965 @ (^[Z0:$i]:($true)))=(X1965))&((((in @ (esk20_2 @ X1966 @ X1967) @ X1967)|(in @ X1967 @ (powerset @ X1966)))&(~(in @ (esk20_2 @ X1966 @ X1967) @ X1966)|(in @ X1967 @ (powerset @ X1966))))&((in @ emptyset @ (powerset @ X1969))&((in @ emptyset @ (powerset @ X1970))&((~(in @ X1972 @ (powerset @ X1971))|(~(in @ X1973 @ X1972)|(in @ X1973 @ X1971)))&((~(in @ X1975 @ X1976)|(~(in @ X1976 @ X1974)|(in @ X1975 @ (setunion @ X1974))))&((((in @ X1978 @ (esk21_3 @ X1977 @ X1978 @ X1979))|(X1979)|~(in @ X1978 @ (setunion @ X1977)))&(((in @ (esk21_3 @ X1977 @ X1978 @ X1979) @ X1977)|(X1979)|~(in @ X1978 @ (setunion @ X1977)))&(~(X1979)|(X1979)|~(in @ X1978 @ (setunion @ X1977)))))&((~(in @ X1982 @ X1981)|(in @ X1982 @ (powerset @ (setunion @ X1981))))&((((~(X1983 @ X1987)|((X1987)=(esk23_1 @ X1983))|((X1983 @ (esk22_2 @ X1983 @ X1984))|~(X1983 @ X1984)))&(((X1988)!=(esk23_1 @ X1983))|(X1983 @ X1988)|((X1983 @ (esk22_2 @ X1983 @ X1984))|~(X1983 @ X1984))))&((~(X1983 @ X1987)|((X1987)=(esk23_1 @ X1983))|(((X1984)!=(esk22_2 @ X1983 @ X1984))|~(X1983 @ X1984)))&(((X1988)!=(esk23_1 @ X1983))|(X1983 @ X1988)|(((X1984)!=(esk22_2 @ X1983 @ X1984))|~(X1983 @ X1984)))))&((((in @ (esk24_1 @ X1989) @ X1989)|((X1989)=(emptyset)))&(($true)|((X1989)=(emptyset))))&((~(in @ X1991 @ (setadjoin @ X1992 @ emptyset))|((X1991)=(X1992)))&((((X1993)=(X1994))|~(in @ X1994 @ (setadjoin @ X1993 @ emptyset)))&((((X1995)!=(X1996))|(in @ X1995 @ (setadjoin @ X1996 @ emptyset)))&((~(in @ X1997 @ (setadjoin @ X1998 @ emptyset))|(in @ X1998 @ (setadjoin @ X1997 @ emptyset)))&((~(in @ X2001 @ (setadjoin @ X1999 @ (setadjoin @ X2000 @ emptyset)))|(((X2001)=(X1999))|((X2001)=(X2000))))&((in @ X2002 @ (setadjoin @ X2002 @ (setadjoin @ X2003 @ emptyset)))&((in @ X2005 @ (setadjoin @ X2004 @ (setadjoin @ X2005 @ emptyset)))&((~(in @ X2008 @ X2006)|~(X2007 @ X2008)|(((dsetconstr @ X2006 @ X2007)!=(emptyset))|~($true)))&((~(in @ X2010 @ emptyset)|(X2009 @ X2010))&((((in @ (esk25_2 @ X2011 @ X2012) @ X2011)|(~(in @ X2013 @ X2011)|(X2012 @ X2013)))&(~(X2012 @ (esk25_2 @ X2011 @ X2012))|(~(in @ X2013 @ X2011)|(X2012 @ X2013))))&((((in @ (esk26_2 @ X2015 @ X2016) @ X2015)|(~(in @ X2018 @ X2015)|~(X2016 @ X2018)))&((X2016 @ (esk26_2 @ X2015 @ X2016))|(~(in @ X2018 @ X2015)|~(X2016 @ X2018))))&((((in @ (esk27_2 @ X2019 @ X2020) @ X2019)|(~(in @ X2022 @ X2019)|~(X2020 @ X2022)))&((X2020 @ (esk27_2 @ X2019 @ X2020))|(~(in @ X2022 @ X2019)|~(X2020 @ X2022))))&((((in @ (esk28_2 @ X2023 @ X2024) @ X2023)|(~(in @ X2025 @ X2023)|(X2024 @ X2025)))&(~(X2024 @ (esk28_2 @ X2023 @ X2024))|(~(in @ X2025 @ X2023)|(X2024 @ X2025))))&((~(X2027)|(in @ emptyset @ (prop2set @ ((X2027)))))&((~(X2028)|(set2prop @ (prop2set @ ((X2028)))))&((((in @ (esk29_2 @ X2029 @ X2030) @ X2029)|(~(in @ X2032 @ X2029)|~(X2030 @ X2032)))&((X2030 @ (esk29_2 @ X2029 @ X2030))|(~(in @ X2032 @ X2029)|~(X2030 @ X2032))))&((((in @ (esk30_2 @ X2033 @ X2034) @ X2033)|(~(in @ X2035 @ X2033)|(X2034 @ X2035)))&(~(X2034 @ (esk30_2 @ X2033 @ X2034))|(~(in @ X2035 @ X2033)|(X2034 @ X2035))))&(((((X2037 @ (esk32_1 @ X2037))|((X2037 @ (esk31_2 @ X2037 @ X2038))|~(X2037 @ X2038)))&(~(X2037 @ X2041)|((esk32_1 @ X2037)=(X2041))|((X2037 @ (esk31_2 @ X2037 @ X2038))|~(X2037 @ X2038))))&(((X2037 @ (esk32_1 @ X2037))|(((X2038)!=(esk31_2 @ X2037 @ X2038))|~(X2037 @ X2038)))&(~(X2037 @ X2041)|((esk32_1 @ X2037)=(X2041))|(((X2038)!=(esk31_2 @ X2037 @ X2038))|~(X2037 @ X2038)))))&(((((X2042 @ (esk35_1 @ X2042))|(X2042 @ (esk33_1 @ X2042))|~(X2042 @ X2043))&(~(X2042 @ X2047)|((esk35_1 @ X2042)=(X2047))|(X2042 @ (esk33_1 @ X2042))|~(X2042 @ X2043)))&((((X2042 @ (esk35_1 @ X2042))|(X2042 @ (esk34_1 @ X2042))|~(X2042 @ X2043))&(~(X2042 @ X2047)|((esk35_1 @ X2042)=(X2047))|(X2042 @ (esk34_1 @ X2042))|~(X2042 @ X2043)))&(((X2042 @ (esk35_1 @ X2042))|((esk33_1 @ X2042)!=(esk34_1 @ X2042))|~(X2042 @ X2043))&(~(X2042 @ X2047)|((esk35_1 @ X2042)=(X2047))|((esk33_1 @ X2042)!=(esk34_1 @ X2042))|~(X2042 @ X2043)))))&(((((X2048 @ (esk37_1 @ X2048))|(~(X2048 @ (esk36_2 @ X2048 @ X2049))|((esk36_2 @ X2048 @ X2049)!=(X2049))))&(~(X2048 @ X2052)|((esk37_1 @ X2048)=(X2052))|(~(X2048 @ (esk36_2 @ X2048 @ X2049))|((esk36_2 @ X2048 @ X2049)!=(X2049)))))&(((X2048 @ (esk37_1 @ X2048))|((X2048 @ (esk36_2 @ X2048 @ X2049))|((esk36_2 @ X2048 @ X2049)=(X2049))))&(~(X2048 @ X2052)|((esk37_1 @ X2048)=(X2052))|((X2048 @ (esk36_2 @ X2048 @ X2049))|((esk36_2 @ X2048 @ X2049)=(X2049))))))&((((X2053)!=(X2054))|(((X2055)!=(X2056))|(~(in @ X2055 @ X2053)|(in @ X2056 @ X2054))))&(((~(in @ X2059 @ X2057)|(in @ X2060 @ X2058)|((X2059)!=(X2060))|((X2057)!=(X2058)))&(~(in @ X2060 @ X2058)|(in @ X2059 @ X2057)|((X2059)!=(X2060))|((X2057)!=(X2058))))&((((X2061 @ (esk38_2 @ X2061 @ X2062))|~(X2061 @ X2062)|(~(X2061 @ X2064)|(~(X2061 @ X2065)|((X2064)=(X2065)))))&(((X2062)!=(esk38_2 @ X2061 @ X2062))|~(X2061 @ X2062)|(~(X2061 @ X2064)|(~(X2061 @ X2065)|((X2064)=(X2065))))))&(((((((X2067 @ (esk42_2 @ X2066 @ X2067))|((X2066 @ (esk41_3 @ X2066 @ X2067 @ X2070))|~(X2066 @ X2070))|((esk39_2 @ X2066 @ X2067)=(esk40_2 @ X2066 @ X2067)))&(~(X2067 @ X2073)|((esk42_2 @ X2066 @ X2067)=(X2073))|((X2066 @ (esk41_3 @ X2066 @ X2067 @ X2070))|~(X2066 @ X2070))|((esk39_2 @ X2066 @ X2067)=(esk40_2 @ X2066 @ X2067))))&(((X2067 @ (esk42_2 @ X2066 @ X2067))|(((X2070)!=(esk41_3 @ X2066 @ X2067 @ X2070))|~(X2066 @ X2070))|((esk39_2 @ X2066 @ X2067)=(esk40_2 @ X2066 @ X2067)))&(~(X2067 @ X2073)|((esk42_2 @ X2066 @ X2067)=(X2073))|(((X2070)!=(esk41_3 @ X2066 @ X2067 @ X2070))|~(X2066 @ X2070))|((esk39_2 @ X2066 @ X2067)=(esk40_2 @ X2066 @ X2067)))))&((((X2066 @ (esk44_2 @ X2066 @ X2067))|((X2067 @ (esk43_3 @ X2066 @ X2067 @ X2074))|~(X2067 @ X2074))|((esk39_2 @ X2066 @ X2067)=(esk40_2 @ X2066 @ X2067)))&(~(X2066 @ X2077)|((esk44_2 @ X2066 @ X2067)=(X2077))|((X2067 @ (esk43_3 @ X2066 @ X2067 @ X2074))|~(X2067 @ X2074))|((esk39_2 @ X2066 @ X2067)=(esk40_2 @ X2066 @ X2067))))&(((X2066 @ (esk44_2 @ X2066 @ X2067))|(((X2074)!=(esk43_3 @ X2066 @ X2067 @ X2074))|~(X2067 @ X2074))|((esk39_2 @ X2066 @ X2067)=(esk40_2 @ X2066 @ X2067)))&(~(X2066 @ X2077)|((esk44_2 @ X2066 @ X2067)=(X2077))|(((X2074)!=(esk43_3 @ X2066 @ X2067 @ X2074))|~(X2067 @ X2074))|((esk39_2 @ X2066 @ X2067)=(esk40_2 @ X2066 @ X2067))))))&((((((X2067 @ (esk42_2 @ X2066 @ X2067))|((X2066 @ (esk41_3 @ X2066 @ X2067 @ X2070))|~(X2066 @ X2070))|(~(X2066 @ (esk39_2 @ X2066 @ X2067))|~(X2067 @ (esk40_2 @ X2066 @ X2067))))&(~(X2067 @ X2073)|((esk42_2 @ X2066 @ X2067)=(X2073))|((X2066 @ (esk41_3 @ X2066 @ X2067 @ X2070))|~(X2066 @ X2070))|(~(X2066 @ (esk39_2 @ X2066 @ X2067))|~(X2067 @ (esk40_2 @ X2066 @ X2067)))))&(((X2067 @ (esk42_2 @ X2066 @ X2067))|(((X2070)!=(esk41_3 @ X2066 @ X2067 @ X2070))|~(X2066 @ X2070))|(~(X2066 @ (esk39_2 @ X2066 @ X2067))|~(X2067 @ (esk40_2 @ X2066 @ X2067))))&(~(X2067 @ X2073)|((esk42_2 @ X2066 @ X2067)=(X2073))|(((X2070)!=(esk41_3 @ X2066 @ X2067 @ X2070))|~(X2066 @ X2070))|(~(X2066 @ (esk39_2 @ X2066 @ X2067))|~(X2067 @ (esk40_2 @ X2066 @ X2067))))))&((((X2066 @ (esk44_2 @ X2066 @ X2067))|((X2067 @ (esk43_3 @ X2066 @ X2067 @ X2074))|~(X2067 @ X2074))|(~(X2066 @ (esk39_2 @ X2066 @ X2067))|~(X2067 @ (esk40_2 @ X2066 @ X2067))))&(~(X2066 @ X2077)|((esk44_2 @ X2066 @ X2067)=(X2077))|((X2067 @ (esk43_3 @ X2066 @ X2067 @ X2074))|~(X2067 @ X2074))|(~(X2066 @ (esk39_2 @ X2066 @ X2067))|~(X2067 @ (esk40_2 @ X2066 @ X2067)))))&(((X2066 @ (esk44_2 @ X2066 @ X2067))|(((X2074)!=(esk43_3 @ X2066 @ X2067 @ X2074))|~(X2067 @ X2074))|(~(X2066 @ (esk39_2 @ X2066 @ X2067))|~(X2067 @ (esk40_2 @ X2066 @ X2067))))&(~(X2066 @ X2077)|((esk44_2 @ X2066 @ X2067)=(X2077))|(((X2074)!=(esk43_3 @ X2066 @ X2067 @ X2074))|~(X2067 @ X2074))|(~(X2066 @ (esk39_2 @ X2066 @ X2067))|~(X2067 @ (esk40_2 @ X2066 @ X2067)))))))&(((((X2067 @ (esk42_2 @ X2066 @ X2067))|((X2066 @ (esk41_3 @ X2066 @ X2067 @ X2070))|~(X2066 @ X2070))|((X2066 @ (esk39_2 @ X2066 @ X2067))|(X2067 @ (esk40_2 @ X2066 @ X2067))))&(~(X2067 @ X2073)|((esk42_2 @ X2066 @ X2067)=(X2073))|((X2066 @ (esk41_3 @ X2066 @ X2067 @ X2070))|~(X2066 @ X2070))|((X2066 @ (esk39_2 @ X2066 @ X2067))|(X2067 @ (esk40_2 @ X2066 @ X2067)))))&(((X2067 @ (esk42_2 @ X2066 @ X2067))|(((X2070)!=(esk41_3 @ X2066 @ X2067 @ X2070))|~(X2066 @ X2070))|((X2066 @ (esk39_2 @ X2066 @ X2067))|(X2067 @ (esk40_2 @ X2066 @ X2067))))&(~(X2067 @ X2073)|((esk42_2 @ X2066 @ X2067)=(X2073))|(((X2070)!=(esk41_3 @ X2066 @ X2067 @ X2070))|~(X2066 @ X2070))|((X2066 @ (esk39_2 @ X2066 @ X2067))|(X2067 @ (esk40_2 @ X2066 @ X2067))))))&((((X2066 @ (esk44_2 @ X2066 @ X2067))|((X2067 @ (esk43_3 @ X2066 @ X2067 @ X2074))|~(X2067 @ X2074))|((X2066 @ (esk39_2 @ X2066 @ X2067))|(X2067 @ (esk40_2 @ X2066 @ X2067))))&(~(X2066 @ X2077)|((esk44_2 @ X2066 @ X2067)=(X2077))|((X2067 @ (esk43_3 @ X2066 @ X2067 @ X2074))|~(X2067 @ X2074))|((X2066 @ (esk39_2 @ X2066 @ X2067))|(X2067 @ (esk40_2 @ X2066 @ X2067)))))&(((X2066 @ (esk44_2 @ X2066 @ X2067))|(((X2074)!=(esk43_3 @ X2066 @ X2067 @ X2074))|~(X2067 @ X2074))|((X2066 @ (esk39_2 @ X2066 @ X2067))|(X2067 @ (esk40_2 @ X2066 @ X2067))))&(~(X2066 @ X2077)|((esk44_2 @ X2066 @ X2067)=(X2077))|(((X2074)!=(esk43_3 @ X2066 @ X2067 @ X2074))|~(X2067 @ X2074))|((X2066 @ (esk39_2 @ X2066 @ X2067))|(X2067 @ (esk40_2 @ X2066 @ X2067)))))))))&(((emptyset)=(emptyset))&((((X2078)!=(X2079))|(((X2080)!=(X2081))|((setadjoin @ X2078 @ X2080)=(setadjoin @ X2079 @ X2081))))&((((X2082)!=(X2083))|((powerset @ X2082)=(powerset @ X2083)))&((((X2084)!=(X2085))|((setunion @ X2084)=(setunion @ X2085)))&(((omega)=(omega))&((((X2086 @ (esk45_2 @ X2086 @ X2087))|~(X2086 @ X2087)|(~(X2086 @ X2089)|(~(X2086 @ X2090)|((X2089)=(X2090)))))&(((X2087)!=(esk45_2 @ X2086 @ X2087))|~(X2086 @ X2087)|(~(X2086 @ X2089)|(~(X2086 @ X2090)|((X2089)=(X2090))))))&((((((X2092 @ (esk49_3 @ X2091 @ X2092 @ X2097))|~(X2092 @ X2097)|((descr @ X2091)=(descr @ X2092))|((X2091 @ (esk48_3 @ X2091 @ X2092 @ X2095))|~(X2091 @ X2095))|((esk46_2 @ X2091 @ X2092)=(esk47_2 @ X2091 @ X2092)))&(((X2097)!=(esk49_3 @ X2091 @ X2092 @ X2097))|~(X2092 @ X2097)|((descr @ X2091)=(descr @ X2092))|((X2091 @ (esk48_3 @ X2091 @ X2092 @ X2095))|~(X2091 @ X2095))|((esk46_2 @ X2091 @ X2092)=(esk47_2 @ X2091 @ X2092))))&(((X2092 @ (esk49_3 @ X2091 @ X2092 @ X2097))|~(X2092 @ X2097)|((descr @ X2091)=(descr @ X2092))|(((X2095)!=(esk48_3 @ X2091 @ X2092 @ X2095))|~(X2091 @ X2095))|((esk46_2 @ X2091 @ X2092)=(esk47_2 @ X2091 @ X2092)))&(((X2097)!=(esk49_3 @ X2091 @ X2092 @ X2097))|~(X2092 @ X2097)|((descr @ X2091)=(descr @ X2092))|(((X2095)!=(esk48_3 @ X2091 @ X2092 @ X2095))|~(X2091 @ X2095))|((esk46_2 @ X2091 @ X2092)=(esk47_2 @ X2091 @ X2092)))))&(((((X2092 @ (esk49_3 @ X2091 @ X2092 @ X2097))|~(X2092 @ X2097)|((descr @ X2091)=(descr @ X2092))|((X2091 @ (esk48_3 @ X2091 @ X2092 @ X2095))|~(X2091 @ X2095))|(~(X2091 @ (esk46_2 @ X2091 @ X2092))|~(X2092 @ (esk47_2 @ X2091 @ X2092))))&(((X2097)!=(esk49_3 @ X2091 @ X2092 @ X2097))|~(X2092 @ X2097)|((descr @ X2091)=(descr @ X2092))|((X2091 @ (esk48_3 @ X2091 @ X2092 @ X2095))|~(X2091 @ X2095))|(~(X2091 @ (esk46_2 @ X2091 @ X2092))|~(X2092 @ (esk47_2 @ X2091 @ X2092)))))&(((X2092 @ (esk49_3 @ X2091 @ X2092 @ X2097))|~(X2092 @ X2097)|((descr @ X2091)=(descr @ X2092))|(((X2095)!=(esk48_3 @ X2091 @ X2092 @ X2095))|~(X2091 @ X2095))|(~(X2091 @ (esk46_2 @ X2091 @ X2092))|~(X2092 @ (esk47_2 @ X2091 @ X2092))))&(((X2097)!=(esk49_3 @ X2091 @ X2092 @ X2097))|~(X2092 @ X2097)|((descr @ X2091)=(descr @ X2092))|(((X2095)!=(esk48_3 @ X2091 @ X2092 @ X2095))|~(X2091 @ X2095))|(~(X2091 @ (esk46_2 @ X2091 @ X2092))|~(X2092 @ (esk47_2 @ X2091 @ X2092))))))&((((X2092 @ (esk49_3 @ X2091 @ X2092 @ X2097))|~(X2092 @ X2097)|((descr @ X2091)=(descr @ X2092))|((X2091 @ (esk48_3 @ X2091 @ X2092 @ X2095))|~(X2091 @ X2095))|((X2091 @ (esk46_2 @ X2091 @ X2092))|(X2092 @ (esk47_2 @ X2091 @ X2092))))&(((X2097)!=(esk49_3 @ X2091 @ X2092 @ X2097))|~(X2092 @ X2097)|((descr @ X2091)=(descr @ X2092))|((X2091 @ (esk48_3 @ X2091 @ X2092 @ X2095))|~(X2091 @ X2095))|((X2091 @ (esk46_2 @ X2091 @ X2092))|(X2092 @ (esk47_2 @ X2091 @ X2092)))))&(((X2092 @ (esk49_3 @ X2091 @ X2092 @ X2097))|~(X2092 @ X2097)|((descr @ X2091)=(descr @ X2092))|(((X2095)!=(esk48_3 @ X2091 @ X2092 @ X2095))|~(X2091 @ X2095))|((X2091 @ (esk46_2 @ X2091 @ X2092))|(X2092 @ (esk47_2 @ X2091 @ X2092))))&(((X2097)!=(esk49_3 @ X2091 @ X2092 @ X2097))|~(X2092 @ X2097)|((descr @ X2091)=(descr @ X2092))|(((X2095)!=(esk48_3 @ X2091 @ X2092 @ X2095))|~(X2091 @ X2095))|((X2091 @ (esk46_2 @ X2091 @ X2092))|(X2092 @ (esk47_2 @ X2091 @ X2092))))))))&((((in @ (esk50_4 @ X2099 @ X2100 @ X2101 @ X2102) @ X2099)|((dsetconstr @ X2099 @ X2101)=(dsetconstr @ X2100 @ X2102))|((X2099)!=(X2100)))&(((in @ (esk51_4 @ X2099 @ X2100 @ X2101 @ X2102) @ X2100)|((dsetconstr @ X2099 @ X2101)=(dsetconstr @ X2100 @ X2102))|((X2099)!=(X2100)))&((((esk50_4 @ X2099 @ X2100 @ X2101 @ X2102)=(esk51_4 @ X2099 @ X2100 @ X2101 @ X2102))|((dsetconstr @ X2099 @ X2101)=(dsetconstr @ X2100 @ X2102))|((X2099)!=(X2100)))&((~(X2101 @ (esk50_4 @ X2099 @ X2100 @ X2101 @ X2102))|~(X2102 @ (esk51_4 @ X2099 @ X2100 @ X2101 @ X2102))|((dsetconstr @ X2099 @ X2101)=(dsetconstr @ X2100 @ X2102))|((X2099)!=(X2100)))&((X2101 @ (esk50_4 @ X2099 @ X2100 @ X2101 @ X2102))|(X2102 @ (esk51_4 @ X2099 @ X2100 @ X2101 @ X2102))|((dsetconstr @ X2099 @ X2101)=(dsetconstr @ X2100 @ X2102))|((X2099)!=(X2100)))))))&((((in @ (esk52_2 @ X2105 @ X2106) @ X2105)|(subset @ X2105 @ X2106))&(~(in @ (esk52_2 @ X2105 @ X2106) @ X2106)|(subset @ X2105 @ X2106)))&((((X2108)!=(X2109))|(subset @ X2109 @ X2108))&((((X2110)!=(X2111))|(subset @ X2110 @ X2111))&((((in @ (esk53_2 @ X2112 @ X2113) @ X2112)|(subset @ X2112 @ X2113))&(~(in @ (esk53_2 @ X2112 @ X2113) @ X2113)|(subset @ X2112 @ X2113)))&((subset @ emptyset @ X2115)&((~(subset @ X2116 @ X2117)|(~(in @ X2118 @ X2116)|(in @ X2118 @ X2117)))&((~(subset @ X2119 @ X2120)|((in @ X2121 @ X2120)|~(in @ X2121 @ X2119)))&((~(in @ X2124 @ X2122)|((in @ X2124 @ X2123)|~(subset @ X2122 @ X2123)))&(((subset @ X2125 @ X2126)|((X2125)!=(X2126)))&((~(in @ X2129 @ X2127)|((in @ X2129 @ X2128)|((X2127)!=(X2128))))&((subset @ X2130 @ X2130)&((~(subset @ X2131 @ X2132)|(~(subset @ X2132 @ X2133)|(subset @ X2131 @ X2133)))&((subset @ X2135 @ (setadjoin @ X2134 @ X2135))&((~(subset @ X2136 @ X2138)|(subset @ X2136 @ (setadjoin @ X2137 @ X2138)))&((~(subset @ X2139 @ X2140)|(in @ X2139 @ (powerset @ X2140)))&((~(subset @ X2141 @ X2142)|(~(subset @ X2142 @ X2141)|((X2141)=(X2142))))&((~(subset @ X2143 @ emptyset)|((X2143)=(emptyset)))&((~(subset @ X2145 @ X2144)|(in @ X2145 @ (powerset @ X2144)))&((~(in @ X2147 @ (powerset @ X2146))|(subset @ X2147 @ X2146))&((in @ X2148 @ (powerset @ X2148))&((~(subset @ X2149 @ X2150)|(subset @ (powerset @ X2149) @ (powerset @ X2150)))&((in @ (dsetconstr @ X2151 @ X2152) @ (powerset @ X2151))&((subset @ (dsetconstr @ X2153 @ X2154) @ X2153)&((~(in @ X2157 @ X2155)|(in @ X2157 @ (binunion @ X2155 @ X2156)))&((in @ X2159 @ (setadjoin @ X2158 @ (setadjoin @ X2159 @ emptyset)))&((~(in @ X2162 @ X2161)|(in @ X2162 @ (binunion @ X2160 @ X2161)))&(((((in @ X2165 @ X2164)|(X2166)|(in @ X2165 @ X2163)|~(in @ X2165 @ (binunion @ X2163 @ X2164)))&(~(X2166)|(X2166)|(in @ X2165 @ X2163)|~(in @ X2165 @ (binunion @ X2163 @ X2164))))&(((in @ X2165 @ X2164)|(X2166)|~(X2166)|~(in @ X2165 @ (binunion @ X2163 @ X2164)))&(~(X2166)|(X2166)|~(X2166)|~(in @ X2165 @ (binunion @ X2163 @ X2164)))))&((~(in @ X2169 @ (binunion @ X2167 @ X2168))|((in @ X2169 @ X2167)|(in @ X2169 @ X2168)))&((subset @ X2170 @ (binunion @ X2170 @ X2171))&((subset @ X2173 @ (binunion @ X2172 @ X2173))&((~(in @ X2176 @ X2174)|(~(in @ X2176 @ X2175)|(in @ X2176 @ (binintersect @ X2174 @ X2175))))&((~(subset @ X2179 @ X2177)|(~(subset @ X2179 @ X2178)|(subset @ X2179 @ (binintersect @ X2177 @ X2178))))&((~(in @ X2182 @ (binintersect @ X2180 @ X2181))|(in @ X2182 @ X2180))&((subset @ (binintersect @ X2183 @ X2184) @ X2183)&((~(subset @ X2185 @ X2186)|((binintersect @ X2185 @ X2186)=(X2185)))&((((binintersect @ X2187 @ X2188)!=(X2188))|(subset @ X2188 @ X2187))&((~(in @ X2191 @ (binintersect @ X2189 @ X2190))|(in @ X2191 @ X2190))&((((in @ (esk54_2 @ X2192 @ X2193) @ X2192)|((binintersect @ X2192 @ X2193)=(emptyset)))&((in @ (esk54_2 @ X2192 @ X2193) @ X2193)|((binintersect @ X2192 @ X2193)=(emptyset))))&((subset @ (binintersect @ X2195 @ X2196) @ X2196)&((~(subset @ X2198 @ X2197)|((binintersect @ X2197 @ X2198)=(X2198)))&((((binintersect @ X2199 @ X2200)!=(X2199))|(subset @ X2199 @ X2200))&(((binintersect @ X2201 @ (binunion @ X2202 @ X2203))=(binunion @ (binintersect @ X2201 @ X2202) @ (binintersect @ X2201 @ X2203)))&((~(in @ X2206 @ X2204)|((in @ X2206 @ X2205)|(in @ X2206 @ (setminus @ X2204 @ X2205))))&((~(in @ X2209 @ (setminus @ X2207 @ X2208))|(in @ X2209 @ X2207))&((~(in @ X2212 @ (setminus @ X2210 @ X2211))|~(in @ X2212 @ X2211))&((~(subset @ X2213 @ X2214)|((setminus @ X2213 @ X2214)=(emptyset)))&(((in @ X2217 @ (setminus @ X2215 @ X2216))|(~(in @ X2217 @ X2215)|(in @ X2217 @ X2216)))&(((in @ X2220 @ (setminus @ X2218 @ X2219))|((in @ X2220 @ X2219)|~(in @ X2220 @ X2218)))&(((in @ X2223 @ X2221)|~(in @ X2223 @ (setminus @ X2221 @ X2222)))&((~(in @ X2226 @ X2225)|~(in @ X2226 @ (setminus @ X2224 @ X2225)))&((subset @ (setminus @ X2227 @ X2228) @ X2227)&((((setminus @ X2229 @ X2230)!=(emptyset))|(subset @ X2229 @ X2230))&((((~(in @ X2233 @ X2231)|(X2234)|(in @ X2233 @ X2231)|~(in @ X2233 @ (symdiff @ X2231 @ X2232)))&(((in @ X2233 @ X2232)|(X2234)|(in @ X2233 @ X2231)|~(in @ X2233 @ (symdiff @ X2231 @ X2232)))&(~(X2234)|(X2234)|(in @ X2233 @ X2231)|~(in @ X2233 @ (symdiff @ X2231 @ X2232)))))&(((~(in @ X2233 @ X2231)|(X2234)|~(in @ X2233 @ X2232)|~(in @ X2233 @ (symdiff @ X2231 @ X2232)))&(((in @ X2233 @ X2232)|(X2234)|~(in @ X2233 @ X2232)|~(in @ X2233 @ (symdiff @ X2231 @ X2232)))&(~(X2234)|(X2234)|~(in @ X2233 @ X2232)|~(in @ X2233 @ (symdiff @ X2231 @ X2232)))))&((~(in @ X2233 @ X2231)|(X2234)|~(X2234)|~(in @ X2233 @ (symdiff @ X2231 @ X2232)))&(((in @ X2233 @ X2232)|(X2234)|~(X2234)|~(in @ X2233 @ (symdiff @ X2231 @ X2232)))&(~(X2234)|(X2234)|~(X2234)|~(in @ X2233 @ (symdiff @ X2231 @ X2232)))))))&((~(in @ X2237 @ X2235)|((in @ X2237 @ X2236)|(in @ X2237 @ (symdiff @ X2235 @ X2236))))&(((in @ X2240 @ X2238)|(~(in @ X2240 @ X2239)|(in @ X2240 @ (symdiff @ X2238 @ X2239))))&((~(in @ X2243 @ X2241)|(~(in @ X2243 @ X2242)|~(in @ X2243 @ (symdiff @ X2241 @ X2242))))&(((in @ X2246 @ X2244)|((in @ X2246 @ X2245)|~(in @ X2246 @ (symdiff @ X2244 @ X2245))))&((in @ X2248 @ (setadjoin @ X2247 @ (setadjoin @ X2248 @ emptyset)))&((in @ X2249 @ (setunion @ (setadjoin @ (setadjoin @ X2249 @ emptyset) @ (setadjoin @ (setadjoin @ X2249 @ (setadjoin @ X2250 @ emptyset)) @ emptyset))))&((in @ X2252 @ (setunion @ (setadjoin @ (setadjoin @ X2251 @ emptyset) @ (setadjoin @ (setadjoin @ X2251 @ (setadjoin @ X2252 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X2253 @ emptyset) @ (setadjoin @ (setadjoin @ X2253 @ (setadjoin @ X2254 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X2255 @ X2256))&((~(in @ X2258 @ X2257)|(subset @ (setadjoin @ X2258 @ emptyset) @ X2257))&((~(in @ X2260 @ X2259)|(in @ (setadjoin @ X2260 @ emptyset) @ (powerset @ X2259)))&((~(in @ X2263 @ X2261)|(in @ (setadjoin @ X2263 @ emptyset) @ (powerset @ (binunion @ X2261 @ X2262))))&((~(in @ X2266 @ (setadjoin @ X2264 @ (setadjoin @ X2265 @ emptyset)))|(((X2266)=(X2264))|((X2266)=(X2265))))&((~(in @ X2269 @ X2267)|(~(in @ X2270 @ X2268)|(subset @ (setadjoin @ X2269 @ (setadjoin @ X2270 @ emptyset)) @ (binunion @ X2267 @ X2268))))&((~(in @ X2273 @ X2271)|(~(in @ X2274 @ X2272)|(in @ (setadjoin @ X2273 @ (setadjoin @ X2274 @ emptyset)) @ (powerset @ (binunion @ X2271 @ X2272)))))&((~(in @ X2277 @ X2275)|(~(in @ X2278 @ X2276)|(subset @ (setadjoin @ (setadjoin @ X2277 @ emptyset) @ (setadjoin @ (setadjoin @ X2277 @ (setadjoin @ X2278 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X2275 @ X2276)))))&((~(in @ X2281 @ X2279)|(~(in @ X2282 @ X2280)|(in @ (setadjoin @ (setadjoin @ X2281 @ emptyset) @ (setadjoin @ (setadjoin @ X2281 @ (setadjoin @ X2282 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X2279 @ X2280))))))&((~(in @ X2285 @ X2283)|(~(in @ X2286 @ X2284)|(in @ (kpair @ X2285 @ X2286) @ (powerset @ (powerset @ (binunion @ X2283 @ X2284))))))&((~(in @ X2289 @ X2287)|(~(in @ X2290 @ X2288)|(in @ (kpair @ X2289 @ X2290) @ (cartprod @ X2287 @ X2288))))&((((in @ (esk55_3 @ X2291 @ X2292 @ X2293) @ X2291)|~(in @ X2293 @ (cartprod @ X2291 @ X2292)))&(((in @ (esk56_3 @ X2291 @ X2292 @ X2293) @ X2292)|~(in @ X2293 @ (cartprod @ X2291 @ X2292)))&(((X2293)=(kpair @ (esk55_3 @ X2291 @ X2292 @ X2293) @ (esk56_3 @ X2291 @ X2292 @ X2293)))|~(in @ X2293 @ (cartprod @ X2291 @ X2292)))))&((~(in @ X2298 @ (cartprod @ X2296 @ X2297))|(iskpair @ X2298))&((((in @ (esk57_2 @ X2299 @ X2300) @ X2299)|~(in @ X2300 @ (setunion @ X2299)))&((in @ X2300 @ (esk57_2 @ X2299 @ X2300))|~(in @ X2300 @ (setunion @ X2299))))&((subset @ (setunion @ (setadjoin @ X2302 @ emptyset)) @ X2302)&((subset @ X2303 @ (setunion @ (setadjoin @ X2303 @ emptyset)))&(((setunion @ (setadjoin @ X2304 @ emptyset))=(X2304))&((((in @ (esk58_2 @ X2305 @ X2306) @ X2305)|(~(in @ X2309 @ X2305)|~(X2306 @ X2309)|(singleton @ (dsetconstr @ X2305 @ X2306))))&(((in @ (esk59_2 @ X2305 @ X2306) @ X2305)|(~(in @ X2309 @ X2305)|~(X2306 @ X2309)|(singleton @ (dsetconstr @ X2305 @ X2306))))&(((X2306 @ (esk58_2 @ X2305 @ X2306))|(~(in @ X2309 @ X2305)|~(X2306 @ X2309)|(singleton @ (dsetconstr @ X2305 @ X2306))))&(((X2306 @ (esk59_2 @ X2305 @ X2306))|(~(in @ X2309 @ X2305)|~(X2306 @ X2309)|(singleton @ (dsetconstr @ X2305 @ X2306))))&(((esk58_2 @ X2305 @ X2306)!=(esk59_2 @ X2305 @ X2306))|(~(in @ X2309 @ X2305)|~(X2306 @ X2309)|(singleton @ (dsetconstr @ X2305 @ X2306))))))))&((((in @ (esk60_2 @ X2310 @ X2311) @ X2310)|~(singleton @ (dsetconstr @ X2310 @ X2311)))&((X2311 @ (esk60_2 @ X2310 @ X2311))|~(singleton @ (dsetconstr @ X2310 @ X2311))))&((((in @ (esk61_3 @ X2313 @ X2314 @ X2315) @ X2313)|(singleton @ (dsetconstr @ X2313 @ X2314))|~(X2314 @ X2315)|~(in @ X2315 @ X2313))&(((X2314 @ (esk61_3 @ X2313 @ X2314 @ X2315))|(singleton @ (dsetconstr @ X2313 @ X2314))|~(X2314 @ X2315)|~(in @ X2315 @ X2313))&(((esk61_3 @ X2313 @ X2314 @ X2315)!=(X2315))|(singleton @ (dsetconstr @ X2313 @ X2314))|~(X2314 @ X2315)|~(in @ X2315 @ X2313))))&((((in @ (esk62_2 @ X2317 @ X2318) @ X2317)|(~(in @ X2321 @ X2317)|~(X2318 @ X2321)|(singleton @ (dsetconstr @ X2317 @ X2318))))&(((in @ (esk63_2 @ X2317 @ X2318) @ X2317)|(~(in @ X2321 @ X2317)|~(X2318 @ X2321)|(singleton @ (dsetconstr @ X2317 @ X2318))))&(((X2318 @ (esk62_2 @ X2317 @ X2318))|(~(in @ X2321 @ X2317)|~(X2318 @ X2321)|(singleton @ (dsetconstr @ X2317 @ X2318))))&(((X2318 @ (esk63_2 @ X2317 @ X2318))|(~(in @ X2321 @ X2317)|~(X2318 @ X2321)|(singleton @ (dsetconstr @ X2317 @ X2318))))&(((esk62_2 @ X2317 @ X2318)!=(esk63_2 @ X2317 @ X2318))|(~(in @ X2321 @ X2317)|~(X2318 @ X2321)|(singleton @ (dsetconstr @ X2317 @ X2318))))))))&((((setadjoin @ X2322 @ emptyset)!=(setadjoin @ X2323 @ emptyset))|((X2322)=(X2323)))&((~(in @ (setadjoin @ X2326 @ emptyset) @ (setadjoin @ (setadjoin @ X2324 @ emptyset) @ (setadjoin @ (setadjoin @ X2324 @ (setadjoin @ X2325 @ emptyset)) @ emptyset)))|((X2324)=(X2326)))&((~(iskpair @ X2327)|(singleton @ (dsetconstr @ (setunion @ X2327) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X2327))))))&((~(singleton @ X2328)|(in @ (setunion @ X2328) @ X2328))&(((kfst @ (kpair @ X2329 @ X2330))=(X2329))&((~(in @ X2333 @ (cartprod @ X2331 @ X2332))|(in @ (kfst @ X2333) @ X2331))&((((setadjoin @ (setadjoin @ X2334 @ emptyset) @ (setadjoin @ (setadjoin @ X2334 @ (setadjoin @ X2335 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2336 @ emptyset) @ (setadjoin @ (setadjoin @ X2336 @ (setadjoin @ X2337 @ emptyset)) @ emptyset)))|((X2334)=(X2336)))&((((kpair @ X2338 @ X2339)!=(kpair @ X2340 @ X2341))|((X2338)=(X2340)))&((((X2342)!=(X2343))|((setadjoin @ X2342 @ (setadjoin @ X2343 @ emptyset))=(setadjoin @ X2342 @ emptyset)))&((((X2344)!=(X2345))|((setadjoin @ (setadjoin @ X2344 @ emptyset) @ (setadjoin @ (setadjoin @ X2344 @ (setadjoin @ X2345 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2344 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X2346 @ emptyset) @ (setadjoin @ (setadjoin @ X2346 @ (setadjoin @ X2347 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2348 @ emptyset) @ (setadjoin @ (setadjoin @ X2348 @ (setadjoin @ X2349 @ emptyset)) @ emptyset)))|(((X2348)!=(X2349))|((X2347)=(X2349))))&((((setadjoin @ X2350 @ (setadjoin @ X2351 @ emptyset))!=(setadjoin @ X2352 @ emptyset))|((X2350)=(X2351)))&((((setadjoin @ (setadjoin @ X2353 @ emptyset) @ (setadjoin @ (setadjoin @ X2353 @ (setadjoin @ X2354 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2355 @ emptyset) @ (setadjoin @ (setadjoin @ X2355 @ (setadjoin @ X2356 @ emptyset)) @ emptyset)))|((X2354)=(X2356)))&((((kpair @ X2357 @ X2358)!=(kpair @ X2359 @ X2360))|((X2358)=(X2360)))&((~(iskpair @ X2361)|(singleton @ (dsetconstr @ (setunion @ X2361) @ (^[Z0:$i]:(((X2361)=(kpair @ (kfst @ X2361) @ Z0)))))))&(((ksnd @ (kpair @ X2362 @ X2363))=(X2363))&((~(iskpair @ X2364)|((kpair @ (kfst @ X2364) @ (ksnd @ X2364))=(X2364)))&((~(in @ X2367 @ (cartprod @ X2365 @ X2366))|(in @ (ksnd @ X2367) @ X2366))&((~(in @ (kpair @ X2370 @ X2371) @ (cartprod @ X2368 @ X2369))|(in @ X2370 @ X2368))&((~(in @ (kpair @ X2374 @ X2375) @ (cartprod @ X2372 @ X2373))|(in @ X2375 @ X2373))&((~(in @ X2378 @ X2376)|(~(in @ X2379 @ X2377)|((kpair @ X2378 @ X2379)=(kpair @ X2378 @ X2379))))&((~(in @ X2382 @ X2380)|(~(in @ X2383 @ X2381)|((kfst @ (kpair @ X2382 @ X2383))=(X2382))))&((~(in @ X2386 @ X2384)|(~(in @ X2387 @ X2385)|((ksnd @ (kpair @ X2386 @ X2387))=(X2387))))&((~(in @ X2390 @ (cartprod @ X2388 @ X2389))|((kpair @ (kfst @ X2390) @ (ksnd @ X2390))=(X2390)))&((~(in @ X2394 @ X2391)|(~(in @ X2395 @ X2392)|(~(X2393 @ X2394 @ X2395)|(in @ (kpair @ X2394 @ X2395) @ (dpsetconstr @ X2391 @ X2392 @ X2393)))))&((subset @ (dpsetconstr @ X2396 @ X2397 @ X2398) @ (cartprod @ X2396 @ X2397))&((subset @ (dpsetconstr @ X2399 @ X2400 @ X2401) @ (cartprod @ X2399 @ X2400))&((~(in @ X2405 @ X2402)|(~(in @ X2406 @ X2403)|(~(in @ (kpair @ X2405 @ X2406) @ (dpsetconstr @ X2402 @ X2403 @ X2404))|(X2404 @ X2405 @ X2406))))&((~(in @ (kpair @ X2410 @ X2411) @ (dpsetconstr @ X2407 @ X2408 @ X2409))|(in @ X2410 @ X2407))&((~(in @ (kpair @ X2415 @ X2416) @ (dpsetconstr @ X2412 @ X2413 @ X2414))|(in @ X2416 @ X2413))&((~(in @ (kpair @ X2420 @ X2421) @ (dpsetconstr @ X2417 @ X2418 @ X2419))|(X2419 @ X2420 @ X2421))&((~(func @ X2422 @ X2423 @ X2424)|(~(in @ X2425 @ X2422)|(singleton @ (dsetconstr @ X2423 @ (^[Z0:$i]:((in @ (kpair @ X2425 @ Z0) @ X2424)))))))&((~(func @ X2426 @ X2427 @ X2428)|(~(in @ X2429 @ X2426)|(in @ (setunion @ (dsetconstr @ X2427 @ (^[Z0:$i]:((in @ (kpair @ X2429 @ Z0) @ X2428))))) @ X2427)))&((~(func @ X2430 @ X2431 @ X2432)|(~(in @ X2433 @ X2430)|(in @ (ap @ X2430 @ X2431 @ X2432 @ X2433) @ X2431)))&((~(in @ X2436 @ (funcSet @ X2434 @ X2435))|(func @ X2434 @ X2435 @ X2436))&((~(in @ X2439 @ (funcSet @ X2437 @ X2438))|(~(in @ X2440 @ X2437)|(in @ (ap @ X2437 @ X2438 @ X2439 @ X2440) @ X2438)))&((~(func @ X2441 @ X2442 @ X2443)|(in @ X2443 @ (funcSet @ X2441 @ X2442)))&((((in @ (esk64_3 @ X2444 @ X2445 @ X2446) @ X2444)|(func @ X2444 @ X2445 @ (dpsetconstr @ X2444 @ X2445 @ (^[Z0:$i]:($eq @ (X2446 @ Z0))))))&(~(in @ (X2446 @ (esk64_3 @ X2444 @ X2445 @ X2446)) @ X2445)|(func @ X2444 @ X2445 @ (dpsetconstr @ X2444 @ X2445 @ (^[Z0:$i]:($eq @ (X2446 @ Z0)))))))&((((in @ (esk65_3 @ X2448 @ X2449 @ X2450) @ X2448)|(func @ X2448 @ X2449 @ (lam @ X2448 @ X2449 @ X2450)))&(~(in @ (X2450 @ (esk65_3 @ X2448 @ X2449 @ X2450)) @ X2449)|(func @ X2448 @ X2449 @ (lam @ X2448 @ X2449 @ X2450))))&((((in @ (esk66_3 @ X2452 @ X2453 @ X2454) @ X2452)|(in @ (lam @ X2452 @ X2453 @ X2454) @ (funcSet @ X2452 @ X2453)))&(~(in @ (X2454 @ (esk66_3 @ X2452 @ X2453 @ X2454)) @ X2453)|(in @ (lam @ X2452 @ X2453 @ X2454) @ (funcSet @ X2452 @ X2453))))&((((in @ (esk67_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2456)|(~(in @ X2462 @ X2458)|(X2459 @ X2462))|~(subset @ X2458 @ (cartprod @ X2456 @ X2457)))&(((in @ (esk68_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2457)|(~(in @ X2462 @ X2458)|(X2459 @ X2462))|~(subset @ X2458 @ (cartprod @ X2456 @ X2457)))&(((in @ (kpair @ (esk67_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk68_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2458)|(~(in @ X2462 @ X2458)|(X2459 @ X2462))|~(subset @ X2458 @ (cartprod @ X2456 @ X2457)))&(~(X2459 @ (kpair @ (esk67_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk68_4 @ X2456 @ X2457 @ X2458 @ X2459)))|(~(in @ X2462 @ X2458)|(X2459 @ X2462))|~(subset @ X2458 @ (cartprod @ X2456 @ X2457))))))&((((in @ (esk69_4 @ X2463 @ X2464 @ X2465 @ X2466) @ X2463)|(~(in @ X2469 @ X2465)|(X2466 @ X2469))|~(subset @ X2465 @ (cartprod @ X2463 @ X2464)))&(((in @ (esk70_4 @ X2463 @ X2464 @ X2465 @ X2466) @ X2464)|(~(in @ X2469 @ X2465)|(X2466 @ X2469))|~(subset @ X2465 @ (cartprod @ X2463 @ X2464)))&(((in @ (kpair @ (esk69_4 @ X2463 @ X2464 @ X2465 @ X2466) @ (esk70_4 @ X2463 @ X2464 @ X2465 @ X2466)) @ X2465)|(~(in @ X2469 @ X2465)|(X2466 @ X2469))|~(subset @ X2465 @ (cartprod @ X2463 @ X2464)))&(~(X2466 @ (kpair @ (esk69_4 @ X2463 @ X2464 @ X2465 @ X2466) @ (esk70_4 @ X2463 @ X2464 @ X2465 @ X2466)))|(~(in @ X2469 @ X2465)|(X2466 @ X2469))|~(subset @ X2465 @ (cartprod @ X2463 @ X2464))))))&((~(singleton @ (dsetconstr @ X2470 @ X2471))|(~(in @ X2472 @ X2470)|(~(in @ X2473 @ X2470)|(~(X2471 @ X2472)|(~(X2471 @ X2473)|((X2472)=(X2473)))))))&((~(func @ X2474 @ X2475 @ X2476)|(~(in @ X2477 @ X2474)|(in @ (kpair @ X2477 @ (ap @ X2474 @ X2475 @ X2476 @ X2477)) @ X2476)))&((~(in @ X2480 @ (funcSet @ X2478 @ X2479))|(~(in @ X2481 @ X2478)|(in @ (kpair @ X2481 @ (ap @ X2478 @ X2479 @ X2480 @ X2481)) @ X2480)))&((~(func @ X2482 @ X2483 @ X2484)|(~(in @ X2485 @ X2482)|(~(in @ X2486 @ X2483)|(~(in @ (kpair @ X2485 @ X2486) @ X2484)|((ap @ X2482 @ X2483 @ X2484 @ X2485)=(X2486))))))&((((in @ (esk71_4 @ X2487 @ X2488 @ X2489 @ X2490) @ X2487)|(~(in @ X2492 @ X2487)|(~(in @ X2493 @ X2488)|(~(in @ (kpair @ X2492 @ X2493) @ X2490)|(in @ (kpair @ X2492 @ X2493) @ X2489))))|~(func @ X2487 @ X2488 @ X2490)|~(func @ X2487 @ X2488 @ X2489))&(((ap @ X2487 @ X2488 @ X2489 @ (esk71_4 @ X2487 @ X2488 @ X2489 @ X2490))!=(ap @ X2487 @ X2488 @ X2490 @ (esk71_4 @ X2487 @ X2488 @ X2489 @ X2490)))|(~(in @ X2492 @ X2487)|(~(in @ X2493 @ X2488)|(~(in @ (kpair @ X2492 @ X2493) @ X2490)|(in @ (kpair @ X2492 @ X2493) @ X2489))))|~(func @ X2487 @ X2488 @ X2490)|~(func @ X2487 @ X2488 @ X2489)))&((~(in @ X2496 @ (funcSet @ X2494 @ X2495))|(~(in @ X2497 @ X2494)|(~(in @ X2498 @ X2495)|(~(in @ (kpair @ X2497 @ X2498) @ X2496)|((ap @ X2494 @ X2495 @ X2496 @ X2497)=(X2498))))))&((((in @ (esk72_4 @ X2499 @ X2500 @ X2501 @ X2502) @ X2499)|(subset @ X2501 @ X2502)|~(subset @ X2502 @ (cartprod @ X2499 @ X2500))|~(subset @ X2501 @ (cartprod @ X2499 @ X2500)))&(((in @ (esk73_4 @ X2499 @ X2500 @ X2501 @ X2502) @ X2500)|(subset @ X2501 @ X2502)|~(subset @ X2502 @ (cartprod @ X2499 @ X2500))|~(subset @ X2501 @ (cartprod @ X2499 @ X2500)))&(((in @ (kpair @ (esk72_4 @ X2499 @ X2500 @ X2501 @ X2502) @ (esk73_4 @ X2499 @ X2500 @ X2501 @ X2502)) @ X2501)|(subset @ X2501 @ X2502)|~(subset @ X2502 @ (cartprod @ X2499 @ X2500))|~(subset @ X2501 @ (cartprod @ X2499 @ X2500)))&(~(in @ (kpair @ (esk72_4 @ X2499 @ X2500 @ X2501 @ X2502) @ (esk73_4 @ X2499 @ X2500 @ X2501 @ X2502)) @ X2502)|(subset @ X2501 @ X2502)|~(subset @ X2502 @ (cartprod @ X2499 @ X2500))|~(subset @ X2501 @ (cartprod @ X2499 @ X2500))))))&(((((in @ (esk76_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2505)|((X2507)=(X2508))|(in @ (esk74_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2505)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506)))&(((in @ (esk77_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2506)|((X2507)=(X2508))|(in @ (esk74_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2505)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506)))&(((in @ (kpair @ (esk76_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk77_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2508)|((X2507)=(X2508))|(in @ (esk74_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2505)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506)))&(~(in @ (kpair @ (esk76_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk77_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2507)|((X2507)=(X2508))|(in @ (esk74_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2505)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506))))))&((((in @ (esk76_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2505)|((X2507)=(X2508))|(in @ (esk75_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2506)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506)))&(((in @ (esk77_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2506)|((X2507)=(X2508))|(in @ (esk75_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2506)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506)))&(((in @ (kpair @ (esk76_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk77_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2508)|((X2507)=(X2508))|(in @ (esk75_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2506)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506)))&(~(in @ (kpair @ (esk76_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk77_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2507)|((X2507)=(X2508))|(in @ (esk75_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2506)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506))))))&((((in @ (esk76_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2505)|((X2507)=(X2508))|(in @ (kpair @ (esk74_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk75_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2507)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506)))&(((in @ (esk77_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2506)|((X2507)=(X2508))|(in @ (kpair @ (esk74_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk75_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2507)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506)))&(((in @ (kpair @ (esk76_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk77_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2508)|((X2507)=(X2508))|(in @ (kpair @ (esk74_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk75_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2507)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506)))&(~(in @ (kpair @ (esk76_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk77_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2507)|((X2507)=(X2508))|(in @ (kpair @ (esk74_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk75_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2507)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506))))))&(((in @ (esk76_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2505)|((X2507)=(X2508))|~(in @ (kpair @ (esk74_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk75_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2508)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506)))&(((in @ (esk77_4 @ X2505 @ X2506 @ X2507 @ X2508) @ X2506)|((X2507)=(X2508))|~(in @ (kpair @ (esk74_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk75_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2508)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506)))&(((in @ (kpair @ (esk76_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk77_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2508)|((X2507)=(X2508))|~(in @ (kpair @ (esk74_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk75_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2508)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506)))&(~(in @ (kpair @ (esk76_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk77_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2507)|((X2507)=(X2508))|~(in @ (kpair @ (esk74_4 @ X2505 @ X2506 @ X2507 @ X2508) @ (esk75_4 @ X2505 @ X2506 @ X2507 @ X2508)) @ X2508)|~(subset @ X2508 @ (cartprod @ X2505 @ X2506))|~(subset @ X2507 @ (cartprod @ X2505 @ X2506)))))))))&((((in @ (esk78_4 @ X2513 @ X2514 @ X2515 @ X2516) @ X2513)|((X2515)=(X2516))|~(func @ X2513 @ X2514 @ X2516)|~(func @ X2513 @ X2514 @ X2515))&(((ap @ X2513 @ X2514 @ X2515 @ (esk78_4 @ X2513 @ X2514 @ X2515 @ X2516))!=(ap @ X2513 @ X2514 @ X2516 @ (esk78_4 @ X2513 @ X2514 @ X2515 @ X2516)))|((X2515)=(X2516))|~(func @ X2513 @ X2514 @ X2516)|~(func @ X2513 @ X2514 @ X2515)))&((((in @ (esk79_4 @ X2518 @ X2519 @ X2520 @ X2521) @ X2518)|((X2520)=(X2521))|~(in @ X2521 @ (funcSet @ X2518 @ X2519))|~(in @ X2520 @ (funcSet @ X2518 @ X2519)))&(((ap @ X2518 @ X2519 @ X2520 @ (esk79_4 @ X2518 @ X2519 @ X2520 @ X2521))!=(ap @ X2518 @ X2519 @ X2521 @ (esk79_4 @ X2518 @ X2519 @ X2520 @ X2521)))|((X2520)=(X2521))|~(in @ X2521 @ (funcSet @ X2518 @ X2519))|~(in @ X2520 @ (funcSet @ X2518 @ X2519))))&((~(in @ X2525 @ (funcSet @ X2523 @ X2524))|(~(in @ X2526 @ X2523)|((ap @ X2523 @ X2524 @ X2525 @ X2526)=(ap @ X2523 @ X2524 @ X2525 @ X2526))))&((~(func @ X2527 @ X2528 @ X2529)|(~(in @ X2530 @ X2527)|((ap @ X2527 @ X2528 @ X2529 @ X2530)=(ap @ X2527 @ X2528 @ X2529 @ X2530))))&((((in @ (esk80_3 @ X2531 @ X2532 @ X2533) @ X2531)|(~(in @ X2535 @ X2531)|((ap @ X2531 @ X2532 @ (lam @ X2531 @ X2532 @ X2533) @ X2535)=(X2533 @ X2535))))&(~(in @ (X2533 @ (esk80_3 @ X2531 @ X2532 @ X2533)) @ X2532)|(~(in @ X2535 @ X2531)|((ap @ X2531 @ X2532 @ (lam @ X2531 @ X2532 @ X2533) @ X2535)=(X2533 @ X2535)))))&((~(func @ X2536 @ X2537 @ X2538)|((lam @ X2536 @ X2537 @ (ap @ X2536 @ X2537 @ X2538))=(X2538)))&((((in @ (esk81_3 @ X2539 @ X2540 @ X2541) @ X2539)|((lam @ X2539 @ X2540 @ X2541)=(lam @ X2539 @ X2540 @ X2541)))&(~(in @ (X2541 @ (esk81_3 @ X2539 @ X2540 @ X2541)) @ X2540)|((lam @ X2539 @ X2540 @ X2541)=(lam @ X2539 @ X2540 @ X2541))))&((((in @ (esk82_3 @ X2543 @ X2544 @ X2545) @ X2543)|(~(in @ X2547 @ X2543)|((ap @ X2543 @ X2544 @ (lam @ X2543 @ X2544 @ X2545) @ X2547)=(X2545 @ X2547))))&(~(in @ (X2545 @ (esk82_3 @ X2543 @ X2544 @ X2545)) @ X2544)|(~(in @ X2547 @ X2543)|((ap @ X2543 @ X2544 @ (lam @ X2543 @ X2544 @ X2545) @ X2547)=(X2545 @ X2547)))))&((~(in @ X2550 @ (funcSet @ X2548 @ X2549))|((lam @ X2548 @ X2549 @ (ap @ X2548 @ X2549 @ X2550))=(X2550)))&((~(in @ X2553 @ X2551)|(~(in @ X2554 @ X2551)|((X2552)|(in @ X2554 @ (dsetconstr @ X2551 @ (^[Z0:$i]:((((((X2552))&(((Z0)=(X2553)))))|(((~((X2552)))&(((Z0)=(X2554)))))))))))))&((~(in @ X2557 @ X2555)|(~(in @ X2558 @ X2555)|((X2556)|((dsetconstr @ X2555 @ (^[Z0:$i]:((((((X2556))&(((Z0)=(X2557)))))|(((~((X2556)))&(((Z0)=(X2558)))))))))=(setadjoin @ X2558 @ emptyset)))))&((~(in @ X2561 @ X2559)|(~(in @ X2562 @ X2559)|(~(X2560)|(in @ X2561 @ (dsetconstr @ X2559 @ (^[Z0:$i]:((((((X2560))&(((Z0)=(X2561)))))|(((~((X2560)))&(((Z0)=(X2562)))))))))))))&((~(in @ X2565 @ X2563)|(~(in @ X2566 @ X2563)|(~(X2564)|((dsetconstr @ X2563 @ (^[Z0:$i]:((((((X2564))&(((Z0)=(X2565)))))|(((~((X2564)))&(((Z0)=(X2566)))))))))=(setadjoin @ X2565 @ emptyset)))))&((~(in @ X2569 @ X2567)|(~(in @ X2570 @ X2567)|(singleton @ (dsetconstr @ X2567 @ (^[Z0:$i]:((((((X2568))&(((Z0)=(X2569)))))|(((~((X2568)))&(((Z0)=(X2570))))))))))))&((~(in @ X2573 @ X2571)|(~(in @ X2574 @ X2571)|(in @ (if @ X2571 @ ((X2572)) @ X2573 @ X2574) @ X2571)))&((~(singleton @ X2575)|(~(in @ X2576 @ X2575)|((setunion @ X2575)=(X2576))))&((~(in @ X2579 @ X2577)|(~(in @ X2580 @ X2577)|(~(X2578)|((if @ X2577 @ ((X2578)) @ X2579 @ X2580)=(X2579)))))&((~(in @ X2583 @ X2581)|(~(in @ X2584 @ X2581)|((X2582)|((if @ X2581 @ ((X2582)) @ X2583 @ X2584)=(X2584)))))&((~(in @ X2587 @ X2585)|(~(in @ X2588 @ X2585)|(in @ (if @ X2585 @ ((X2586)) @ X2587 @ X2588) @ (setadjoin @ X2587 @ (setadjoin @ X2588 @ emptyset)))))&((~(in @ X2590 @ (powerset @ X2589))|(~(in @ X2591 @ (powerset @ X2589))|(in @ (binintersect @ X2590 @ X2591) @ (powerset @ X2589))))&((~(in @ X2593 @ (powerset @ X2592))|(~(in @ X2594 @ (powerset @ X2592))|(in @ (binunion @ X2593 @ X2594) @ (powerset @ X2592))))&((~(in @ X2596 @ (powerset @ X2595))|(in @ (powerset @ X2596) @ (powerset @ (powerset @ X2595))))&((~(in @ X2598 @ (powerset @ X2597))|(~(in @ X2599 @ (powerset @ X2597))|(in @ (setminus @ X2598 @ X2599) @ (powerset @ X2597))))&((~(in @ X2601 @ (powerset @ X2600))|(in @ (setminus @ X2600 @ X2601) @ (powerset @ X2600)))&(((((in @ (esk84_3 @ X2602 @ X2603 @ X2604) @ X2602)|((X2603)=(X2604))|(in @ (esk83_3 @ X2602 @ X2603 @ X2604) @ X2602)|~(in @ X2604 @ (powerset @ X2602))|~(in @ X2603 @ (powerset @ X2602)))&(((in @ (esk84_3 @ X2602 @ X2603 @ X2604) @ X2604)|((X2603)=(X2604))|(in @ (esk83_3 @ X2602 @ X2603 @ X2604) @ X2602)|~(in @ X2604 @ (powerset @ X2602))|~(in @ X2603 @ (powerset @ X2602)))&(~(in @ (esk84_3 @ X2602 @ X2603 @ X2604) @ X2603)|((X2603)=(X2604))|(in @ (esk83_3 @ X2602 @ X2603 @ X2604) @ X2602)|~(in @ X2604 @ (powerset @ X2602))|~(in @ X2603 @ (powerset @ X2602)))))&((((in @ (esk84_3 @ X2602 @ X2603 @ X2604) @ X2602)|((X2603)=(X2604))|(in @ (esk83_3 @ X2602 @ X2603 @ X2604) @ X2603)|~(in @ X2604 @ (powerset @ X2602))|~(in @ X2603 @ (powerset @ X2602)))&(((in @ (esk84_3 @ X2602 @ X2603 @ X2604) @ X2604)|((X2603)=(X2604))|(in @ (esk83_3 @ X2602 @ X2603 @ X2604) @ X2603)|~(in @ X2604 @ (powerset @ X2602))|~(in @ X2603 @ (powerset @ X2602)))&(~(in @ (esk84_3 @ X2602 @ X2603 @ X2604) @ X2603)|((X2603)=(X2604))|(in @ (esk83_3 @ X2602 @ X2603 @ X2604) @ X2603)|~(in @ X2604 @ (powerset @ X2602))|~(in @ X2603 @ (powerset @ X2602)))))&(((in @ (esk84_3 @ X2602 @ X2603 @ X2604) @ X2602)|((X2603)=(X2604))|~(in @ (esk83_3 @ X2602 @ X2603 @ X2604) @ X2604)|~(in @ X2604 @ (powerset @ X2602))|~(in @ X2603 @ (powerset @ X2602)))&(((in @ (esk84_3 @ X2602 @ X2603 @ X2604) @ X2604)|((X2603)=(X2604))|~(in @ (esk83_3 @ X2602 @ X2603 @ X2604) @ X2604)|~(in @ X2604 @ (powerset @ X2602))|~(in @ X2603 @ (powerset @ X2602)))&(~(in @ (esk84_3 @ X2602 @ X2603 @ X2604) @ X2603)|((X2603)=(X2604))|~(in @ (esk83_3 @ X2602 @ X2603 @ X2604) @ X2604)|~(in @ X2604 @ (powerset @ X2602))|~(in @ X2603 @ (powerset @ X2602)))))))&((((in @ (esk85_3 @ X2607 @ X2608 @ X2609) @ X2607)|(subset @ X2608 @ X2609)|~(in @ X2609 @ (powerset @ X2607))|~(in @ X2608 @ (powerset @ X2607)))&(((in @ (esk85_3 @ X2607 @ X2608 @ X2609) @ X2608)|(subset @ X2608 @ X2609)|~(in @ X2609 @ (powerset @ X2607))|~(in @ X2608 @ (powerset @ X2607)))&(~(in @ (esk85_3 @ X2607 @ X2608 @ X2609) @ X2609)|(subset @ X2608 @ X2609)|~(in @ X2609 @ (powerset @ X2607))|~(in @ X2608 @ (powerset @ X2607)))))&((((in @ (esk86_3 @ X2611 @ X2612 @ X2613) @ X2611)|(in @ X2612 @ (powerset @ X2613))|~(in @ X2613 @ (powerset @ X2611))|~(in @ X2612 @ (powerset @ X2611)))&(((in @ (esk86_3 @ X2611 @ X2612 @ X2613) @ X2612)|(in @ X2612 @ (powerset @ X2613))|~(in @ X2613 @ (powerset @ X2611))|~(in @ X2612 @ (powerset @ X2611)))&(~(in @ (esk86_3 @ X2611 @ X2612 @ X2613) @ X2613)|(in @ X2612 @ (powerset @ X2613))|~(in @ X2613 @ (powerset @ X2611))|~(in @ X2612 @ (powerset @ X2611)))))&((~(in @ X2616 @ (powerset @ X2615))|(~(in @ X2617 @ (powerset @ X2615))|(~(in @ X2618 @ X2615)|(~(in @ X2616 @ (powerset @ X2617))|(~(in @ X2618 @ X2616)|(in @ X2618 @ X2617))))))&((~(in @ X2620 @ (powerset @ X2619))|(~(in @ X2621 @ X2619)|(~(in @ X2621 @ X2620)|~(in @ X2621 @ (setminus @ X2619 @ X2620)))))&((~(in @ X2623 @ (powerset @ X2622))|(~(in @ X2624 @ X2622)|((in @ X2624 @ (setminus @ X2622 @ X2623))|(in @ X2624 @ X2623))))&((~(in @ X2626 @ (powerset @ X2625))|(~(in @ X2627 @ (powerset @ X2625))|(~(in @ X2628 @ X2625)|((in @ X2628 @ X2626)|~(in @ X2628 @ (binintersect @ X2626 @ X2627))))))&((~(in @ X2630 @ (powerset @ X2629))|(~(in @ X2631 @ (powerset @ X2629))|(~(in @ X2632 @ X2629)|((in @ X2632 @ X2631)|~(in @ X2632 @ (binintersect @ X2630 @ X2631))))))&((~(in @ X2634 @ (powerset @ X2633))|(~(in @ X2635 @ (powerset @ X2633))|(~(in @ X2636 @ X2633)|(~(subset @ X2634 @ (setminus @ X2633 @ X2635))|(~(in @ X2636 @ X2635)|~(in @ X2636 @ X2634))))))&((~(in @ X2638 @ (powerset @ X2637))|(~(in @ X2639 @ (powerset @ X2637))|(~(in @ X2640 @ X2637)|(~(subset @ X2638 @ X2639)|((in @ X2640 @ X2639)|~(in @ X2640 @ X2638))))))&((~(in @ X2642 @ (powerset @ X2641))|(~(in @ X2643 @ (powerset @ X2641))|(~(subset @ X2642 @ X2643)|(subset @ (setminus @ X2641 @ X2643) @ (setminus @ X2641 @ X2642)))))&((~(in @ X2645 @ (powerset @ X2644))|(~(in @ X2646 @ (powerset @ X2644))|(~(subset @ (setminus @ X2644 @ X2646) @ (setminus @ X2644 @ X2645))|(subset @ X2645 @ X2646))))&((~(in @ X2648 @ (powerset @ X2647))|(~(in @ X2649 @ X2647)|(~(in @ X2649 @ X2648)|(in @ X2649 @ (setminus @ X2647 @ (setminus @ X2647 @ X2648))))))&((~(in @ X2651 @ (powerset @ X2650))|(~(in @ X2652 @ X2650)|(~(in @ X2652 @ (setminus @ X2650 @ (setminus @ X2650 @ X2651)))|(in @ X2652 @ X2651))))&((~(in @ X2654 @ (powerset @ X2653))|(subset @ X2654 @ (setminus @ X2653 @ (setminus @ X2653 @ X2654))))&((~(in @ X2656 @ (powerset @ X2655))|(subset @ (setminus @ X2655 @ (setminus @ X2655 @ X2656)) @ X2656))&((~(in @ X2658 @ (powerset @ X2657))|((X2658)=(setminus @ X2657 @ (setminus @ X2657 @ X2658))))&((~(in @ X2660 @ (powerset @ X2659))|(~(in @ X2661 @ (powerset @ X2659))|(~(in @ X2662 @ X2659)|(~(in @ X2662 @ (setminus @ X2659 @ X2660))|~(in @ X2662 @ (binintersect @ X2660 @ X2661))))))&((~(in @ X2664 @ (powerset @ X2663))|(~(in @ X2665 @ (powerset @ X2663))|(~(in @ X2666 @ X2663)|(~(in @ X2666 @ (setminus @ X2663 @ X2664))|(in @ X2666 @ (setminus @ X2663 @ (binintersect @ X2664 @ X2665)))))))&((~(in @ X2668 @ (powerset @ X2667))|(~(in @ X2669 @ (powerset @ X2667))|(subset @ (setminus @ X2667 @ X2668) @ (setminus @ X2667 @ (binintersect @ X2668 @ X2669)))))&((~(in @ X2671 @ (powerset @ X2670))|(~(in @ X2672 @ (powerset @ X2670))|(in @ (setminus @ X2670 @ X2671) @ (powerset @ (setminus @ X2670 @ (binintersect @ X2671 @ X2672))))))&((~(in @ X2674 @ (powerset @ X2673))|(~(in @ X2675 @ (powerset @ X2673))|(~(subset @ X2674 @ (setminus @ X2673 @ X2675))|(~(in @ X2676 @ X2673)|(~(in @ X2676 @ X2675)|(in @ X2676 @ (setminus @ X2673 @ X2674)))))))&((~(in @ X2678 @ (powerset @ X2677))|(~(in @ X2679 @ (powerset @ X2677))|(~(subset @ X2678 @ (setminus @ X2677 @ X2679))|(subset @ X2679 @ (setminus @ X2677 @ X2678)))))&((~(in @ X2681 @ (powerset @ X2680))|(~(in @ X2682 @ (powerset @ X2680))|(~(in @ X2683 @ X2680)|((in @ X2683 @ (binunion @ X2681 @ X2682))|~(in @ X2683 @ X2681)))))&((~(in @ X2685 @ (powerset @ X2684))|(~(in @ X2686 @ (powerset @ X2684))|(~(in @ X2687 @ X2684)|((in @ X2687 @ (binunion @ X2685 @ X2686))|~(in @ X2687 @ X2686)))))&((~(in @ X2689 @ (powerset @ X2688))|(~(in @ X2690 @ (powerset @ X2688))|(~(in @ X2691 @ (powerset @ X2688))|(~(in @ X2692 @ X2688)|(~(in @ X2692 @ (binintersect @ X2689 @ X2690))|(in @ X2692 @ (binunion @ X2689 @ X2691)))))))&((~(in @ X2694 @ (powerset @ X2693))|(~(in @ X2695 @ (powerset @ X2693))|(~(in @ X2696 @ (powerset @ X2693))|(~(in @ X2697 @ X2693)|(~(in @ X2697 @ (binintersect @ X2694 @ X2695))|(in @ X2697 @ (binunion @ X2695 @ X2696)))))))&((~(in @ X2699 @ (powerset @ X2698))|(~(in @ X2700 @ (powerset @ X2698))|(~(in @ X2701 @ (powerset @ X2698))|(~(in @ X2702 @ X2698)|(~(in @ X2702 @ (binintersect @ X2699 @ X2700))|(in @ X2702 @ (binintersect @ (binunion @ X2699 @ X2701) @ (binunion @ X2700 @ X2701))))))))&((~(in @ X2704 @ (powerset @ X2703))|(~(in @ X2705 @ (powerset @ X2703))|(~(in @ X2706 @ (powerset @ X2703))|(in @ (binintersect @ X2704 @ X2705) @ (powerset @ (binintersect @ (binunion @ X2704 @ X2706) @ (binunion @ X2705 @ X2706)))))))&((~(in @ X2708 @ (powerset @ X2707))|(~(in @ X2709 @ (powerset @ X2707))|(~(in @ X2710 @ X2707)|(~(in @ X2710 @ (setminus @ X2707 @ (binunion @ X2708 @ X2709)))|~(in @ X2710 @ X2708)))))&((~(in @ X2712 @ (powerset @ X2711))|(~(in @ X2713 @ (powerset @ X2711))|(~(in @ X2714 @ X2711)|(~(in @ X2714 @ (setminus @ X2711 @ (binunion @ X2712 @ X2713)))|(in @ X2714 @ (setminus @ X2711 @ X2712))))))&(((((in @ X2719 @ X2717)|(X2718)|(in @ X2719 @ X2716)|~(in @ X2719 @ (binunion @ X2716 @ X2717))|~(in @ X2719 @ X2715)|~(in @ X2717 @ (powerset @ X2715))|~(in @ X2716 @ (powerset @ X2715)))&(~(X2718)|(X2718)|(in @ X2719 @ X2716)|~(in @ X2719 @ (binunion @ X2716 @ X2717))|~(in @ X2719 @ X2715)|~(in @ X2717 @ (powerset @ X2715))|~(in @ X2716 @ (powerset @ X2715))))&(((in @ X2719 @ X2717)|(X2718)|~(X2718)|~(in @ X2719 @ (binunion @ X2716 @ X2717))|~(in @ X2719 @ X2715)|~(in @ X2717 @ (powerset @ X2715))|~(in @ X2716 @ (powerset @ X2715)))&(~(X2718)|(X2718)|~(X2718)|~(in @ X2719 @ (binunion @ X2716 @ X2717))|~(in @ X2719 @ X2715)|~(in @ X2717 @ (powerset @ X2715))|~(in @ X2716 @ (powerset @ X2715)))))&((~(in @ X2721 @ (powerset @ X2720))|(~(in @ X2722 @ (powerset @ X2720))|(~(in @ X2723 @ X2720)|((in @ X2723 @ X2721)|((in @ X2723 @ X2722)|~(in @ X2723 @ (binunion @ X2721 @ X2722)))))))&((~(in @ X2725 @ (powerset @ X2724))|(~(in @ X2726 @ (powerset @ X2724))|(~(in @ X2727 @ X2724)|(~(in @ X2727 @ (setminus @ X2724 @ (binunion @ X2725 @ X2726)))|(in @ X2727 @ (setminus @ X2724 @ X2725))))))&((~(in @ X2729 @ (powerset @ X2728))|(~(in @ X2730 @ (powerset @ X2728))|(in @ (setminus @ X2728 @ (binunion @ X2729 @ X2730)) @ (powerset @ (setminus @ X2728 @ X2729)))))&((~(in @ X2732 @ (powerset @ X2731))|(~(in @ X2733 @ (powerset @ X2731))|(~(in @ X2734 @ X2731)|(~(in @ X2734 @ (setminus @ X2731 @ (binunion @ X2732 @ X2733)))|(in @ X2734 @ (setminus @ X2731 @ X2733))))))&((~(in @ X2736 @ (powerset @ X2735))|(~(in @ X2737 @ (powerset @ X2735))|(~(in @ X2738 @ X2735)|(~(in @ X2738 @ (setminus @ X2735 @ (binintersect @ X2736 @ X2737)))|(in @ X2738 @ (binunion @ (setminus @ X2735 @ X2736) @ (setminus @ X2735 @ X2737)))))))&((~(in @ X2740 @ (powerset @ X2739))|(~(in @ X2741 @ (powerset @ X2739))|(~(in @ X2742 @ X2739)|(~(in @ X2742 @ (binunion @ (setminus @ X2739 @ X2740) @ (setminus @ X2739 @ X2741)))|(in @ X2742 @ (setminus @ X2739 @ (binintersect @ X2740 @ X2741)))))))&((~(in @ X2744 @ (powerset @ X2743))|(~(in @ X2745 @ (powerset @ X2743))|((setminus @ X2743 @ (binintersect @ X2744 @ X2745))=(binunion @ (setminus @ X2743 @ X2744) @ (setminus @ X2743 @ X2745)))))&((~(in @ X2747 @ (powerset @ X2746))|(~(in @ X2748 @ (powerset @ X2746))|(~(in @ X2749 @ X2746)|(~(in @ X2749 @ (setminus @ X2746 @ (binunion @ X2747 @ X2748)))|(in @ X2749 @ (binintersect @ (setminus @ X2746 @ X2747) @ (setminus @ X2746 @ X2748)))))))&((~(in @ X2751 @ (powerset @ X2750))|(~(in @ X2752 @ (powerset @ X2750))|(~(in @ X2753 @ X2750)|(~(in @ X2753 @ (setminus @ X2750 @ X2751))|(~(in @ X2753 @ (setminus @ X2750 @ X2752))|(in @ X2753 @ (setminus @ X2750 @ (binunion @ X2751 @ X2752))))))))&((~(in @ X2755 @ (powerset @ X2754))|(~(in @ X2756 @ (powerset @ X2754))|(~(in @ X2757 @ X2754)|(~(in @ X2757 @ (binintersect @ (setminus @ X2754 @ X2755) @ (setminus @ X2754 @ X2756)))|(in @ X2757 @ (setminus @ X2754 @ (binunion @ X2755 @ X2756)))))))&((~(in @ X2759 @ (powerset @ X2758))|(~(in @ X2760 @ (powerset @ X2758))|((setminus @ X2758 @ (binunion @ X2759 @ X2760))=(binintersect @ (setminus @ X2758 @ X2759) @ (setminus @ X2758 @ X2760)))))&((~(in @ X2762 @ (powerset @ X2761))|(~(in @ X2763 @ (powerset @ X2761))|(~(in @ X2764 @ (binintersect @ X2762 @ X2763))|(in @ X2764 @ X2761))))&((~(in @ X2766 @ (powerset @ X2765))|(~(in @ X2767 @ (powerset @ X2765))|(~(in @ X2768 @ (powerset @ X2765))|(~(subset @ X2766 @ X2768)|(subset @ (binintersect @ X2766 @ X2767) @ X2768)))))&((~(in @ X2770 @ (powerset @ X2769))|(~(in @ X2771 @ (powerset @ X2769))|(~(in @ X2772 @ (powerset @ X2769))|(~(subset @ X2771 @ X2772)|(subset @ (binintersect @ X2770 @ X2771) @ X2772)))))&((in @ esk88_0 @ (powerset @ esk87_0))&((in @ esk89_0 @ (powerset @ esk87_0))&((in @ esk90_0 @ (powerset @ esk87_0))&((subset @ esk88_0 @ esk89_0)&((subset @ esk88_0 @ esk90_0)&~(subset @ esk88_0 @ (binintersect @ esk89_0 @ esk90_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_364])])])])])])])).
% 2.25/0.67 thf(c_0_366, negated_conjecture, ~((subset @ esk88_0 @ (binintersect @ esk89_0 @ esk90_0))), inference(split_conjunct,[status(thm)],[c_0_365])).
% 2.25/0.67 thf(c_0_367, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((subset @ X2 @ (binintersect @ X3 @ X4))|~((subset @ X2 @ X3))|~((subset @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_365])).
% 2.25/0.67 thf(c_0_368, negated_conjecture, (subset @ esk88_0 @ esk90_0), inference(split_conjunct,[status(thm)],[c_0_365])).
% 2.25/0.67 thf(c_0_369, negated_conjecture, (subset @ esk88_0 @ esk89_0), inference(split_conjunct,[status(thm)],[c_0_365])).
% 2.25/0.67 thf(c_0_370, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366, c_0_367]), c_0_368]), c_0_369])]), ['proof']).
% 2.25/0.67 % SZS output end CNFRefutation
% 2.25/0.67 % Parsed axioms : 597
% 2.25/0.67 % Removed by relevancy pruning/SinE : 0
% 2.25/0.67 % Initial clauses : 803
% 2.25/0.67 % Removed in clause preprocessing : 352
% 2.25/0.67 % Initial clauses in saturation : 451
% 2.25/0.67 % Processed clauses : 1001
% 2.25/0.67 % ...of these trivial : 19
% 2.25/0.67 % ...subsumed : 410
% 2.25/0.67 % ...remaining for further processing : 572
% 2.25/0.67 % Other redundant clauses eliminated : 30
% 2.25/0.67 % Clauses deleted for lack of memory : 0
% 2.25/0.67 % Backward-subsumed : 7
% 2.25/0.67 % Backward-rewritten : 9
% 2.25/0.67 % Generated clauses : 9383
% 2.25/0.67 % ...of the previous two non-redundant : 7929
% 2.25/0.67 % ...aggressively subsumed : 0
% 2.25/0.67 % Contextual simplify-reflections : 0
% 2.25/0.67 % Paramodulations : 9347
% 2.25/0.67 % Factorizations : 2
% 2.25/0.67 % NegExts : 0
% 2.25/0.67 % Equation resolutions : 33
% 2.25/0.67 % Disequality decompositions : 0
% 2.25/0.67 % Total rewrite steps : 1908
% 2.25/0.67 % ...of those cached : 1765
% 2.25/0.67 % Propositional unsat checks : 0
% 2.25/0.67 % Propositional check models : 0
% 2.25/0.67 % Propositional check unsatisfiable : 0
% 2.25/0.67 % Propositional clauses : 0
% 2.25/0.67 % Propositional clauses after purity: 0
% 2.25/0.67 % Propositional unsat core size : 0
% 2.25/0.67 % Propositional preprocessing time : 0.000
% 2.25/0.67 % Propositional encoding time : 0.000
% 2.25/0.67 % Propositional solver time : 0.000
% 2.25/0.67 % Success case prop preproc time : 0.000
% 2.25/0.67 % Success case prop encoding time : 0.000
% 2.25/0.67 % Success case prop solver time : 0.000
% 2.25/0.67 % Current number of processed clauses : 545
% 2.25/0.67 % Positive orientable unit clauses : 192
% 2.25/0.67 % Positive unorientable unit clauses: 0
% 2.25/0.67 % Negative unit clauses : 15
% 2.25/0.67 % Non-unit-clauses : 338
% 2.25/0.67 % Current number of unprocessed clauses: 7353
% 2.25/0.67 % ...number of literals in the above : 19750
% 2.25/0.67 % Current number of archived formulas : 0
% 2.25/0.67 % Current number of archived clauses : 16
% 2.25/0.67 % Clause-clause subsumption calls (NU) : 9614
% 2.25/0.67 % Rec. Clause-clause subsumption calls : 8122
% 2.25/0.67 % Non-unit clause-clause subsumptions : 342
% 2.25/0.67 % Unit Clause-clause subsumption calls : 215
% 2.25/0.67 % Rewrite failures with RHS unbound : 0
% 2.25/0.67 % BW rewrite match attempts : 169
% 2.25/0.67 % BW rewrite match successes : 7
% 2.25/0.67 % Condensation attempts : 0
% 2.25/0.67 % Condensation successes : 0
% 2.25/0.67 % Termbank termtop insertions : 192668
% 2.25/0.67 % Search garbage collected termcells : 29735
% 2.25/0.67
% 2.25/0.67 % -------------------------------------------------
% 2.25/0.67 % User time : 0.254 s
% 2.25/0.67 % System time : 0.034 s
% 2.25/0.67 % Total time : 0.288 s
% 2.25/0.67 % Maximum resident set size: 10708 pages
% 2.25/0.67
% 2.25/0.67 % -------------------------------------------------
% 2.25/0.67 % User time : 0.270 s
% 2.25/0.67 % System time : 0.043 s
% 2.25/0.67 % Total time : 0.313 s
% 2.25/0.67 % Maximum resident set size: 5888 pages
% 2.25/0.67 % E exiting
%------------------------------------------------------------------------------