0.00/0.02	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.12/0.37	% Computer : n029.cluster.edu
0.12/0.37	% Model    : x86_64 x86_64
0.12/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.37	% Memory   : 8046.5625MB
0.12/0.37	% OS       : Linux 6.8.0-71-generic
0.12/0.37	% CPULimit : 1440
0.12/0.37	% WCLimit  : 180
0.12/0.37	% DateTime : Mon Jul 27 15:12:01 UTC 2026
0.12/0.37	% CPUTime  : 
0.12/0.37	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.12/0.44	Running higher-order theorem proving
0.20/0.50	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p
188.59/25.24	% Version: 3.5.1-ho
188.59/25.24	% Preprocessing class: HSLMSLSSLLLCHFA.
188.59/25.24	% Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
188.59/25.24	% Starting ehoh_best5 with 180s (1) cores
188.59/25.24	% Starting almost_fo_3_lam with 180s (1) cores
188.59/25.24	% Starting new_bool_5 with 180s (1) cores
188.59/25.24	% Starting pre_casc_3 with 180s (1) cores
188.59/25.24	% Starting ho_unfolding_8 with 180s (1) cores
188.59/25.24	% Starting new_ho_10_cnf2 with 180s (1) cores
188.59/25.24	% Starting new_bool_3 with 180s (1) cores
188.59/25.24	% Starting new_ho_5 with 180s (1) cores
188.59/25.24	% new_ho_10_cnf2 with pid 2969422 completed with status 0
188.59/25.24	% Result found by new_ho_10_cnf2
188.59/25.24	% Preprocessing class: HSLMSLSSLLLCHFA.
188.59/25.24	% Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
188.59/25.24	% Starting ehoh_best5 with 180s (1) cores
188.59/25.24	% Starting almost_fo_3_lam with 180s (1) cores
188.59/25.24	% Starting new_bool_5 with 180s (1) cores
188.59/25.24	% Starting pre_casc_3 with 180s (1) cores
188.59/25.24	% Starting ho_unfolding_8 with 180s (1) cores
188.59/25.24	% Starting new_ho_10_cnf2 with 180s (1) cores
188.59/25.24	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
188.59/25.24	% No SInE strategy applied
188.59/25.24	% Search class: HGHSM-FSLS31-MHFMMSBN
188.59/25.24	% Scheduled 5 strats onto 1 cores with 180 seconds (180 total)
188.59/25.24	% Starting SubtermCWHack with 19s (1) cores
188.59/25.24	% SubtermCWHack with pid 2969432 completed with status 8
188.59/25.24	% Starting pre_casc_7 with 109s (1) cores
188.59/25.24	% pre_casc_7 with pid 2969784 completed with status 0
188.59/25.24	% Result found by pre_casc_7
188.59/25.24	% Preprocessing class: HSLMSLSSLLLCHFA.
188.59/25.24	% Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
188.59/25.24	% Starting ehoh_best5 with 180s (1) cores
188.59/25.24	% Starting almost_fo_3_lam with 180s (1) cores
188.59/25.24	% Starting new_bool_5 with 180s (1) cores
188.59/25.24	% Starting pre_casc_3 with 180s (1) cores
188.59/25.24	% Starting ho_unfolding_8 with 180s (1) cores
188.59/25.24	% Starting new_ho_10_cnf2 with 180s (1) cores
188.59/25.24	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
188.59/25.24	% No SInE strategy applied
188.59/25.24	% Search class: HGHSM-FSLS31-MHFMMSBN
188.59/25.24	% Scheduled 5 strats onto 1 cores with 180 seconds (180 total)
188.59/25.24	% Starting SubtermCWHack with 19s (1) cores
188.59/25.24	% SubtermCWHack with pid 2969432 completed with status 8
188.59/25.24	% Starting pre_casc_7 with 109s (1) cores
188.59/25.24	% Preprocessing time       : 0.010 s
188.59/25.24	
188.59/25.24	% Proof found!
188.59/25.24	% SZS status Theorem
188.59/25.24	% SZS output start CNFRefutation
188.59/25.24	thf(decl_23, type, in: $i > $i > $o).
188.59/25.24	thf(decl_24, type, exu: ($i > $o) > $o).
188.59/25.24	thf(decl_25, type, setextAx: $o).
188.59/25.24	thf(decl_26, type, emptyset: $i).
188.59/25.24	thf(decl_27, type, emptysetAx: $o).
188.59/25.24	thf(decl_28, type, setadjoin: $i > $i > $i).
188.59/25.24	thf(decl_29, type, setadjoinAx: $o).
188.59/25.24	thf(decl_30, type, powerset: $i > $i).
188.59/25.24	thf(decl_31, type, powersetAx: $o).
188.59/25.24	thf(decl_32, type, setunion: $i > $i).
188.59/25.24	thf(decl_33, type, setunionAx: $o).
188.59/25.24	thf(decl_34, type, omega: $i).
188.59/25.24	thf(decl_35, type, omega0Ax: $o).
188.59/25.24	thf(decl_36, type, omegaSAx: $o).
188.59/25.24	thf(decl_37, type, omegaIndAx: $o).
188.59/25.24	thf(decl_38, type, replAx: $o).
188.59/25.24	thf(decl_39, type, foundationAx: $o).
188.59/25.24	thf(decl_40, type, wellorderingAx: $o).
188.59/25.24	thf(decl_41, type, descr: ($i > $o) > $i).
188.59/25.24	thf(decl_42, type, descrp: $o).
188.59/25.24	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_44, type, dsetconstrI: $o).
188.59/25.24	thf(decl_45, type, dsetconstrEL: $o).
188.59/25.24	thf(decl_46, type, dsetconstrER: $o).
188.59/25.24	thf(decl_47, type, exuE1: $o).
188.59/25.24	thf(decl_48, type, prop2set: $o > $i).
188.59/25.24	thf(decl_49, type, prop2setE: $o).
188.59/25.24	thf(decl_50, type, emptysetE: $o).
188.59/25.24	thf(decl_51, type, emptysetimpfalse: $o).
188.59/25.24	thf(decl_52, type, notinemptyset: $o).
188.59/25.24	thf(decl_53, type, exuE3e: $o).
188.59/25.24	thf(decl_54, type, setext: $o).
188.59/25.24	thf(decl_55, type, emptyI: $o).
188.59/25.24	thf(decl_56, type, noeltsimpempty: $o).
188.59/25.24	thf(decl_57, type, setbeta: $o).
188.59/25.24	thf(decl_58, type, nonempty: $i > $o).
188.59/25.24	thf(decl_59, type, nonemptyE1: $o).
188.59/25.24	thf(decl_60, type, nonemptyI: $o).
188.59/25.24	thf(decl_61, type, nonemptyI1: $o).
188.59/25.24	thf(decl_62, type, setadjoinIL: $o).
188.59/25.24	thf(decl_63, type, emptyinunitempty: $o).
188.59/25.24	thf(decl_64, type, setadjoinIR: $o).
188.59/25.24	thf(decl_65, type, setadjoinE: $o).
188.59/25.24	thf(decl_66, type, setadjoinOr: $o).
188.59/25.24	thf(decl_67, type, setoftrueEq: $o).
188.59/25.24	thf(decl_68, type, powersetI: $o).
188.59/25.24	thf(decl_69, type, emptyinPowerset: $o).
188.59/25.24	thf(decl_70, type, emptyInPowerset: $o).
188.59/25.24	thf(decl_71, type, powersetE: $o).
188.59/25.24	thf(decl_72, type, setunionI: $o).
188.59/25.24	thf(decl_73, type, setunionE: $o).
188.59/25.24	thf(decl_74, type, subPowSU: $o).
188.59/25.24	thf(decl_75, type, exuE2: $o).
188.59/25.24	thf(decl_76, type, nonemptyImpWitness: $o).
188.59/25.24	thf(decl_77, type, uniqinunit: $o).
188.59/25.24	thf(decl_78, type, notinsingleton: $o).
188.59/25.24	thf(decl_79, type, eqinunit: $o).
188.59/25.24	thf(decl_80, type, singletonsswitch: $o).
188.59/25.24	thf(decl_81, type, upairsetE: $o).
188.59/25.24	thf(decl_82, type, upairsetIL: $o).
188.59/25.24	thf(decl_83, type, upairsetIR: $o).
188.59/25.24	thf(decl_84, type, emptyE1: $o).
188.59/25.24	thf(decl_85, type, vacuousDall: $o).
188.59/25.24	thf(decl_86, type, quantDeMorgan1: $o).
188.59/25.24	thf(decl_87, type, quantDeMorgan2: $o).
188.59/25.24	thf(decl_88, type, quantDeMorgan3: $o).
188.59/25.24	thf(decl_89, type, quantDeMorgan4: $o).
188.59/25.24	thf(decl_90, type, prop2setI: $o).
188.59/25.24	thf(decl_91, type, set2prop: $i > $o).
188.59/25.24	thf(decl_92, type, prop2set2propI: $o).
188.59/25.24	thf(decl_93, type, notdexE: $o).
188.59/25.24	thf(decl_94, type, notdallE: $o).
188.59/25.24	thf(decl_95, type, exuI1: $o).
188.59/25.24	thf(decl_96, type, exuI3: $o).
188.59/25.24	thf(decl_97, type, exuI2: $o).
188.59/25.24	thf(decl_98, type, inCongP: $o).
188.59/25.24	thf(decl_99, type, in__Cong: $o).
188.59/25.24	thf(decl_100, type, exuE3u: $o).
188.59/25.24	thf(decl_101, type, exu__Cong: $o).
188.59/25.24	thf(decl_102, type, emptyset__Cong: $o).
188.59/25.24	thf(decl_103, type, setadjoin__Cong: $o).
188.59/25.24	thf(decl_104, type, powerset__Cong: $o).
188.59/25.24	thf(decl_105, type, setunion__Cong: $o).
188.59/25.24	thf(decl_106, type, omega__Cong: $o).
188.59/25.24	thf(decl_107, type, exuEu: $o).
188.59/25.24	thf(decl_108, type, descr__Cong: $o).
188.59/25.24	thf(decl_109, type, dsetconstr__Cong: $o).
188.59/25.24	thf(decl_110, type, subset: $i > $i > $o).
188.59/25.24	thf(decl_113, type, subsetI1: $o).
188.59/25.24	thf(decl_114, type, eqimpsubset2: $o).
188.59/25.24	thf(decl_115, type, eqimpsubset1: $o).
188.59/25.24	thf(decl_116, type, subsetI2: $o).
188.59/25.24	thf(decl_117, type, emptysetsubset: $o).
188.59/25.24	thf(decl_118, type, subsetE: $o).
188.59/25.24	thf(decl_119, type, subsetE2: $o).
188.59/25.24	thf(decl_120, type, notsubsetI: $o).
188.59/25.24	thf(decl_121, type, notequalI1: $o).
188.59/25.24	thf(decl_122, type, notequalI2: $o).
188.59/25.24	thf(decl_123, type, subsetRefl: $o).
188.59/25.24	thf(decl_124, type, subsetTrans: $o).
188.59/25.24	thf(decl_125, type, setadjoinSub: $o).
188.59/25.24	thf(decl_126, type, setadjoinSub2: $o).
188.59/25.24	thf(decl_127, type, subset2powerset: $o).
188.59/25.24	thf(decl_128, type, setextsub: $o).
188.59/25.24	thf(decl_129, type, subsetemptysetimpeq: $o).
188.59/25.24	thf(decl_130, type, powersetI1: $o).
188.59/25.24	thf(decl_131, type, powersetE1: $o).
188.59/25.24	thf(decl_132, type, inPowerset: $o).
188.59/25.24	thf(decl_133, type, powersetsubset: $o).
188.59/25.24	thf(decl_134, type, sepInPowerset: $o).
188.59/25.24	thf(decl_135, type, sepSubset: $o).
188.59/25.24	thf(decl_136, type, binunion: $i > $i > $i).
188.59/25.24	thf(decl_137, type, binunionIL: $o).
188.59/25.24	thf(decl_138, type, upairset2IR: $o).
188.59/25.24	thf(decl_139, type, binunionIR: $o).
188.59/25.24	thf(decl_140, type, binunionEcases: $o).
188.59/25.24	thf(decl_141, type, binunionE: $o).
188.59/25.24	thf(decl_142, type, binunionLsub: $o).
188.59/25.24	thf(decl_143, type, binunionRsub: $o).
188.59/25.24	thf(decl_144, type, binintersect: $i > $i > $i).
188.59/25.24	thf(decl_145, type, binintersectI: $o).
188.59/25.24	thf(decl_146, type, binintersectSubset5: $o).
188.59/25.24	thf(decl_147, type, binintersectEL: $o).
188.59/25.24	thf(decl_148, type, binintersectLsub: $o).
188.59/25.24	thf(decl_149, type, binintersectSubset2: $o).
188.59/25.24	thf(decl_150, type, binintersectSubset3: $o).
188.59/25.24	thf(decl_151, type, binintersectER: $o).
188.59/25.24	thf(decl_152, type, disjointsetsI1: $o).
188.59/25.24	thf(decl_153, type, binintersectRsub: $o).
188.59/25.24	thf(decl_154, type, binintersectSubset4: $o).
188.59/25.24	thf(decl_155, type, binintersectSubset1: $o).
188.59/25.24	thf(decl_156, type, bs114d: $o).
188.59/25.24	thf(decl_158, type, setminus: $i > $i > $i).
188.59/25.24	thf(decl_159, type, setminusI: $o).
188.59/25.24	thf(decl_160, type, setminusEL: $o).
188.59/25.24	thf(decl_161, type, setminusER: $o).
188.59/25.24	thf(decl_162, type, setminusSubset2: $o).
188.59/25.24	thf(decl_163, type, setminusERneg: $o).
188.59/25.24	thf(decl_164, type, setminusELneg: $o).
188.59/25.24	thf(decl_165, type, setminusILneg: $o).
188.59/25.24	thf(decl_166, type, setminusIRneg: $o).
188.59/25.24	thf(decl_167, type, setminusLsub: $o).
188.59/25.24	thf(decl_168, type, setminusSubset1: $o).
188.59/25.24	thf(decl_169, type, symdiff: $i > $i > $i).
188.59/25.24	thf(decl_170, type, symdiffE: $o).
188.59/25.24	thf(decl_171, type, symdiffI1: $o).
188.59/25.24	thf(decl_172, type, symdiffI2: $o).
188.59/25.24	thf(decl_173, type, symdiffIneg1: $o).
188.59/25.24	thf(decl_174, type, symdiffIneg2: $o).
188.59/25.24	thf(decl_175, type, iskpair: $i > $o).
188.59/25.24	thf(decl_176, type, secondinupair: $o).
188.59/25.24	thf(decl_177, type, setukpairIL: $o).
188.59/25.24	thf(decl_178, type, setukpairIR: $o).
188.59/25.24	thf(decl_179, type, kpairiskpair: $o).
188.59/25.24	thf(decl_180, type, kpair: $i > $i > $i).
188.59/25.24	thf(decl_181, type, kpairp: $o).
188.59/25.24	thf(decl_182, type, cartprod: $i > $i > $i).
188.59/25.24	thf(decl_183, type, singletonsubset: $o).
188.59/25.24	thf(decl_184, type, singletoninpowerset: $o).
188.59/25.24	thf(decl_185, type, singletoninpowunion: $o).
188.59/25.24	thf(decl_186, type, upairset2E: $o).
188.59/25.24	thf(decl_187, type, upairsubunion: $o).
188.59/25.24	thf(decl_188, type, upairinpowunion: $o).
188.59/25.24	thf(decl_189, type, ubforcartprodlem1: $o).
188.59/25.24	thf(decl_190, type, ubforcartprodlem2: $o).
188.59/25.24	thf(decl_191, type, ubforcartprodlem3: $o).
188.59/25.24	thf(decl_192, type, cartprodpairin: $o).
188.59/25.24	thf(decl_193, type, cartprodmempair1: $o).
188.59/25.24	thf(decl_194, type, cartprodmempair: $o).
188.59/25.24	thf(decl_195, type, setunionE2: $o).
188.59/25.24	thf(decl_196, type, setunionsingleton1: $o).
188.59/25.24	thf(decl_197, type, setunionsingleton2: $o).
188.59/25.24	thf(decl_198, type, setunionsingleton: $o).
188.59/25.24	thf(decl_199, type, singleton: $i > $o).
188.59/25.24	thf(decl_200, type, singletonprop: $o).
188.59/25.24	thf(decl_201, type, ex1: $i > ($i > $o) > $o).
188.59/25.24	thf(decl_202, type, ex1E1: $o).
188.59/25.24	thf(decl_203, type, ex1I: $o).
188.59/25.24	thf(decl_204, type, ex1I2: $o).
188.59/25.24	thf(decl_205, type, singletonsuniq: $o).
188.59/25.24	thf(decl_210, type, setukpairinjL1: $o).
188.59/25.24	thf(decl_211, type, kfstsingleton: $o).
188.59/25.24	thf(decl_212, type, theprop: $o).
188.59/25.24	thf(decl_213, type, kfst: $i > $i).
188.59/25.24	thf(decl_214, type, kfstpairEq: $o).
188.59/25.24	thf(decl_215, type, cartprodfstin: $o).
188.59/25.24	thf(decl_216, type, setukpairinjL2: $o).
188.59/25.24	thf(decl_217, type, setukpairinjL: $o).
188.59/25.24	thf(decl_218, type, setukpairinjR11: $o).
188.59/25.24	thf(decl_219, type, setukpairinjR12: $o).
188.59/25.24	thf(decl_220, type, setukpairinjR1: $o).
188.59/25.24	thf(decl_221, type, upairequniteq: $o).
188.59/25.24	thf(decl_222, type, setukpairinjR2: $o).
188.59/25.24	thf(decl_223, type, setukpairinjR: $o).
188.59/25.24	thf(decl_224, type, ksndsingleton: $o).
188.59/25.24	thf(decl_225, type, ksnd: $i > $i).
188.59/25.24	thf(decl_226, type, epred1_0: $o).
188.59/25.24	thf(decl_227, type, esk1_2: $i > $i > $i).
188.59/25.24	thf(decl_228, type, esk2_2: $i > $i > $i).
188.59/25.24	thf(decl_229, type, esk3_2: $i > $i > $i).
188.59/25.24	thf(decl_230, type, esk4_1: $i > $i).
188.59/25.24	thf(decl_231, type, esk5_2: ($i > $i > $o) > $i > $i).
188.59/25.24	thf(decl_232, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
188.59/25.24	thf(decl_233, type, esk7_2: ($i > $i > $o) > $i > $i).
188.59/25.24	thf(decl_234, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
188.59/25.24	thf(decl_235, type, esk9_1: $i > $i).
188.59/25.24	thf(decl_236, type, esk10_2: ($i > $o) > $i > $i).
188.59/25.24	thf(decl_237, type, esk11_2: ($i > $o) > $i > $i).
188.59/25.24	thf(decl_238, type, esk12_1: ($i > $o) > $i).
188.59/25.24	thf(decl_239, type, esk13_2: ($i > $o) > $i > $i).
188.59/25.24	thf(decl_240, type, esk14_1: ($i > $o) > $i).
188.59/25.24	thf(decl_241, type, esk15_2: $i > $i > $i).
188.59/25.24	thf(decl_242, type, esk16_2: $i > $i > $i).
188.59/25.24	thf(decl_243, type, esk17_1: $i > $i).
188.59/25.24	thf(decl_244, type, esk18_1: $i > $i).
188.59/25.24	thf(decl_245, type, esk19_1: $i > $i).
188.59/25.24	thf(decl_246, type, esk20_2: $i > $i > $i).
188.59/25.24	thf(decl_247, type, esk21_3: $i > $i > $o > $i).
188.59/25.24	thf(decl_248, type, esk22_2: ($i > $o) > $i > $i).
188.59/25.24	thf(decl_249, type, esk23_1: ($i > $o) > $i).
188.59/25.24	thf(decl_250, type, esk24_1: $i > $i).
188.59/25.24	thf(decl_251, type, esk25_2: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_252, type, esk26_2: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_253, type, esk27_2: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_254, type, esk28_2: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_255, type, esk29_2: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_256, type, esk30_2: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_257, type, esk31_2: ($i > $o) > $i > $i).
188.59/25.24	thf(decl_258, type, esk32_1: ($i > $o) > $i).
188.59/25.24	thf(decl_259, type, esk33_1: ($i > $o) > $i).
188.59/25.24	thf(decl_260, type, esk34_1: ($i > $o) > $i).
188.59/25.24	thf(decl_261, type, esk35_1: ($i > $o) > $i).
188.59/25.24	thf(decl_262, type, esk36_2: ($i > $o) > $i > $i).
188.59/25.24	thf(decl_263, type, esk37_1: ($i > $o) > $i).
188.59/25.24	thf(decl_264, type, esk38_2: ($i > $o) > $i > $i).
188.59/25.24	thf(decl_265, type, esk39_2: ($i > $o) > ($i > $o) > $i).
188.59/25.24	thf(decl_266, type, esk40_2: ($i > $o) > ($i > $o) > $i).
188.59/25.24	thf(decl_267, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
188.59/25.24	thf(decl_268, type, esk42_2: ($i > $o) > ($i > $o) > $i).
188.59/25.24	thf(decl_269, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
188.59/25.24	thf(decl_270, type, esk44_2: ($i > $o) > ($i > $o) > $i).
188.59/25.24	thf(decl_271, type, esk45_2: ($i > $o) > $i > $i).
188.59/25.24	thf(decl_272, type, esk46_2: ($i > $o) > ($i > $o) > $i).
188.59/25.24	thf(decl_273, type, esk47_2: ($i > $o) > ($i > $o) > $i).
188.59/25.24	thf(decl_274, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
188.59/25.24	thf(decl_275, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
188.59/25.24	thf(decl_276, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
188.59/25.24	thf(decl_277, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
188.59/25.24	thf(decl_278, type, esk52_2: $i > $i > $i).
188.59/25.24	thf(decl_279, type, esk53_2: $i > $i > $i).
188.59/25.24	thf(decl_280, type, esk54_2: $i > $i > $i).
188.59/25.24	thf(decl_281, type, esk55_2: $i > $i > $i).
188.59/25.24	thf(decl_282, type, esk56_2: $i > $i > $i).
188.59/25.24	thf(decl_283, type, esk57_2: $i > $i > $i).
188.59/25.24	thf(decl_284, type, esk58_2: $i > $i > $i).
188.59/25.24	thf(decl_285, type, esk59_3: $i > $i > $i > $i).
188.59/25.24	thf(decl_286, type, esk60_3: $i > $i > $i > $i).
188.59/25.24	thf(decl_287, type, esk61_3: $i > $i > $i > $i).
188.59/25.24	thf(decl_288, type, esk62_3: $i > $i > $i > $i).
188.59/25.24	thf(decl_289, type, esk63_2: $i > $i > $i).
188.59/25.24	thf(decl_290, type, esk64_2: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_291, type, esk65_2: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_292, type, esk66_2: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_293, type, esk67_2: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_294, type, esk68_3: $i > ($i > $o) > $i > $i).
188.59/25.24	thf(decl_295, type, esk69_3: $i > ($i > $o) > $i > $i).
188.59/25.24	thf(decl_296, type, esk70_2: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_297, type, esk71_2: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_298, type, esk72_2: $i > ($i > $o) > $i).
188.59/25.24	thf(decl_299, type, esk73_1: $i > $i).
188.59/25.24	thf(decl_300, type, esk74_1: $i > $i).
188.59/25.24	thf(decl_301, type, esk75_0: $i).
188.59/25.24	thf(decl_302, type, esk76_0: $i).
188.59/25.24	thf(decl_308, type, epred2_1: $i > $i > $o).
188.59/25.24	thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', ex1)).
188.59/25.24	thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ X4))&(((X4)=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', singleton)).
188.59/25.24	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', replAx)).
188.59/25.24	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', exu)).
188.59/25.24	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', descrp)).
188.59/25.24	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', exuE1)).
188.59/25.24	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', exuE3e)).
188.59/25.24	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', nonempty)).
188.59/25.24	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', nonemptyI)).
188.59/25.24	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', exuE2)).
188.59/25.24	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', exuI1)).
188.59/25.24	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', exuI3)).
188.59/25.24	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', exuI2)).
188.59/25.24	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', exuE3u)).
188.59/25.24	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', exu__Cong)).
188.59/25.24	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', exuEu)).
188.59/25.24	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', descr__Cong)).
188.59/25.24	thf(iskpair, axiom, ((iskpair)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ (setunion @ X4)))&(?[X3:$i]:((((in @ X3 @ (setunion @ X4)))&(((X4)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', iskpair)).
188.59/25.24	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', singletonprop)).
188.59/25.24	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', ex1E1)).
188.59/25.24	thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', ex1I)).
188.59/25.24	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', ex1I2)).
188.59/25.24	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', kfstsingleton)).
188.59/25.24	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', ksndsingleton)).
188.59/25.24	thf(ksndpairEq, conjecture, ((setextAx)=>((emptysetAx)=>(((powersetAx)=>((setunionAx)=>((((omegaIndAx)=>(((foundationAx)=>((wellorderingAx)=>((((dsetconstrEL)=>((((prop2setE)=>((((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>(((nonemptyI1)=>(((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>(((emptyinPowerset)=>(((powersetE)=>((setunionI)=>((setunionE)=>(((exuE2)=>(((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((((upairsetIL)=>(((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>(((quantDeMorgan4)=>(((((notdallE)=>((exuI1)=>((exuI3)=>(((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((((powerset__Cong)=>(((omega__Cong)=>((((((eqimpsubset2)=>((eqimpsubset1)=>(((emptysetsubset)=>((((notsubsetI)=>((((subsetRefl)=>(((setadjoinSub)=>(((((subsetemptysetimpeq)=>((powersetI1)=>(((inPowerset)=>((((sepSubset)=>((binunionIL)=>(((binunionIR)=>((binunionEcases)=>(((binunionLsub)=>(((binintersectI)=>(((((binintersectSubset2)=>((binintersectSubset3)=>(((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((((setminusI)=>(((((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>(((symdiffE)=>(((symdiffI2)=>(((symdiffIneg2)=>(((((((((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((((ubforcartprodlem2)=>((ubforcartprodlem3)=>(((cartprodmempair1)=>(((((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>(((ex1I)=>((ex1I2)=>(((setukpairinjL1)=>((((kfstpairEq)=>((((setukpairinjL)=>(((setukpairinjR12)=>(((((![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))<=(ksndsingleton))<=(setukpairinjR))<=(setukpairinjR2))<=(upairequniteq))<=(setukpairinjR1)))<=(setukpairinjR11)))<=(setukpairinjL2))<=(cartprodfstin)))<=(theprop))<=(kfstsingleton)))<=(singletonsuniq))))<=(ex1E1)))))<=(setunionsingleton1))<=(setunionE2))<=(cartprodmempair)))<=(cartprodpairin))))<=(ubforcartprodlem1))<=(upairinpowunion)))))<=(singletoninpowerset))<=(singletonsubset))<=(kpairp))<=(kpairiskpair))<=(setukpairIR))<=(setukpairIL))<=(secondinupair)))<=(symdiffIneg1)))<=(symdiffI1)))<=(setminusSubset1)))))))<=(setminusSubset2))<=(setminusER))<=(setminusEL)))<=(bs114d))<=(binintersectSubset1)))))<=(binintersectER))))<=(binintersectLsub))<=(binintersectEL))<=(binintersectSubset5)))<=(binunionRsub)))<=(binunionE))))<=(upairset2IR))))<=(sepInPowerset))<=(powersetsubset)))<=(powersetE1))))<=(setextsub))<=(subset2powerset))<=(setadjoinSub2)))<=(subsetTrans)))<=(notequalI2))<=(notequalI1)))<=(subsetE2))<=(subsetE)))<=(subsetI2))))<=(subsetI1))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu)))<=(setunion__Cong)))<=(setadjoin__Cong))<=(emptyset__Cong))))))<=(exuI2)))))<=(notdexE))<=(prop2set2propI))<=(prop2setI)))<=(quantDeMorgan3))))))<=(upairsetIR)))<=(upairsetE))<=(singletonsswitch)))))<=(nonemptyImpWitness)))<=(subPowSU)))))<=(emptyInPowerset)))<=(powersetI)))))))<=(setadjoinIL)))<=(nonemptyI)))))))))<=(emptysetimpfalse))<=(emptysetE)))<=(exuE1))<=(dsetconstrER)))<=(dsetconstrI))<=(descrp))))<=(replAx)))<=(omegaSAx))<=(omega0Ax))))<=(setadjoinAx)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', ksndpairEq)).
188.59/25.24	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', dsetconstrI)).
188.59/25.24	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', dsetconstrEL)).
188.59/25.24	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', dsetconstrER)).
188.59/25.24	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setbeta)).
188.59/25.24	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', nonemptyE1)).
188.59/25.24	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', nonemptyI1)).
188.59/25.24	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setoftrueEq)).
188.59/25.24	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', nonemptyImpWitness)).
188.59/25.24	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', emptyE1)).
188.59/25.24	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', dsetconstr__Cong)).
188.59/25.25	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', sepInPowerset)).
188.59/25.25	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', sepSubset)).
188.59/25.25	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', kpairiskpair)).
188.59/25.25	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', kpairp)).
188.59/25.25	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', cartprodmempair)).
188.59/25.25	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', theprop)).
188.59/25.25	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setextAx)).
188.59/25.25	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', emptysetAx)).
188.59/25.25	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setadjoinAx)).
188.59/25.25	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', powersetAx)).
188.59/25.25	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setunionAx)).
188.59/25.25	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', omega0Ax)).
188.59/25.25	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', omegaSAx)).
188.59/25.25	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', omegaIndAx)).
188.59/25.25	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', foundationAx)).
188.59/25.25	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', wellorderingAx)).
188.59/25.25	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', prop2setE)).
188.59/25.25	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', emptysetE)).
188.59/25.25	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', emptysetimpfalse)).
188.59/25.25	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', notinemptyset)).
188.59/25.25	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setext)).
188.59/25.25	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', emptyI)).
188.59/25.25	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', noeltsimpempty)).
188.59/25.25	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setadjoinIL)).
188.59/25.25	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', emptyinunitempty)).
188.59/25.25	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setadjoinIR)).
188.59/25.25	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setadjoinE)).
188.59/25.25	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setadjoinOr)).
188.59/25.25	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', powersetI)).
188.59/25.25	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', emptyinPowerset)).
188.59/25.25	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', emptyInPowerset)).
188.59/25.25	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', powersetE)).
188.59/25.25	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setunionI)).
188.59/25.25	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setunionE)).
188.59/25.25	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', subPowSU)).
188.59/25.25	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', uniqinunit)).
188.59/25.25	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', notinsingleton)).
188.59/25.25	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', eqinunit)).
188.59/25.25	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', singletonsswitch)).
188.59/25.25	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', upairsetE)).
188.59/25.25	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', upairsetIL)).
188.59/25.25	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', upairsetIR)).
188.59/25.25	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', vacuousDall)).
188.59/25.25	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', quantDeMorgan1)).
188.59/25.25	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', quantDeMorgan2)).
188.59/25.25	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', quantDeMorgan3)).
188.59/25.25	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', quantDeMorgan4)).
188.59/25.25	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', prop2setI)).
188.59/25.25	thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', prop2set2propI)).
188.59/25.25	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', notdexE)).
188.59/25.25	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', notdallE)).
188.59/25.25	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', inCongP)).
188.59/25.25	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', in__Cong)).
188.59/25.25	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', emptyset__Cong)).
188.59/25.25	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setadjoin__Cong)).
188.59/25.25	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', powerset__Cong)).
188.59/25.25	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setunion__Cong)).
188.59/25.25	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', omega__Cong)).
188.59/25.25	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', subsetI1)).
188.59/25.25	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', eqimpsubset2)).
188.59/25.25	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', eqimpsubset1)).
188.59/25.25	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', subsetI2)).
188.59/25.25	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', emptysetsubset)).
188.59/25.25	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', subsetE)).
188.59/25.25	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', subsetE2)).
188.59/25.25	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', notsubsetI)).
188.59/25.25	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', notequalI1)).
188.59/25.25	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', notequalI2)).
188.59/25.25	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', subsetRefl)).
188.59/25.25	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', subsetTrans)).
188.59/25.25	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setadjoinSub)).
188.59/25.25	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setadjoinSub2)).
188.59/25.25	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', subset2powerset)).
188.59/25.25	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setextsub)).
188.59/25.25	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', subsetemptysetimpeq)).
188.59/25.25	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', powersetI1)).
188.59/25.25	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', powersetE1)).
188.59/25.25	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', inPowerset)).
188.59/25.25	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', powersetsubset)).
188.59/25.25	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binunionIL)).
188.59/25.25	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', upairset2IR)).
188.59/25.25	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binunionIR)).
188.59/25.25	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binunionEcases)).
188.59/25.25	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binunionE)).
188.59/25.25	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binunionLsub)).
188.59/25.25	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binunionRsub)).
188.59/25.25	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binintersectI)).
188.59/25.25	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binintersectSubset5)).
188.59/25.25	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binintersectEL)).
188.59/25.25	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binintersectLsub)).
188.59/25.25	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binintersectSubset2)).
188.59/25.25	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binintersectSubset3)).
188.59/25.25	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binintersectER)).
188.59/25.25	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', disjointsetsI1)).
188.59/25.25	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binintersectRsub)).
188.59/25.25	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binintersectSubset4)).
188.59/25.25	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', binintersectSubset1)).
188.59/25.25	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', bs114d)).
188.59/25.25	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setminusI)).
188.59/25.25	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setminusEL)).
188.59/25.25	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setminusER)).
188.59/25.25	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setminusSubset2)).
188.59/25.25	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setminusERneg)).
188.59/25.25	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setminusELneg)).
188.59/25.25	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setminusILneg)).
188.59/25.25	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setminusIRneg)).
188.59/25.25	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setminusLsub)).
188.59/25.25	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setminusSubset1)).
188.59/25.25	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', symdiffE)).
188.59/25.25	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', symdiffI1)).
188.59/25.25	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', symdiffI2)).
188.59/25.25	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', symdiffIneg1)).
188.59/25.25	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', symdiffIneg2)).
188.59/25.25	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', secondinupair)).
188.59/25.25	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setukpairIL)).
188.59/25.25	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setukpairIR)).
188.59/25.25	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', singletonsubset)).
188.59/25.25	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', singletoninpowerset)).
188.59/25.25	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', singletoninpowunion)).
188.59/25.25	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', upairset2E)).
188.59/25.25	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', upairsubunion)).
188.59/25.25	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', upairinpowunion)).
188.59/25.25	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', ubforcartprodlem1)).
188.59/25.25	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', ubforcartprodlem2)).
188.59/25.25	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', ubforcartprodlem3)).
188.59/25.25	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', cartprodpairin)).
188.59/25.25	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', cartprodmempair1)).
188.59/25.25	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setunionE2)).
188.59/25.25	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setunionsingleton1)).
188.59/25.25	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setunionsingleton2)).
188.59/25.25	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setunionsingleton)).
188.59/25.25	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', singletonsuniq)).
188.59/25.25	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setukpairinjL1)).
188.59/25.25	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', kfstpairEq)).
188.59/25.25	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', cartprodfstin)).
188.59/25.25	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setukpairinjL2)).
188.59/25.25	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setukpairinjL)).
188.59/25.25	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setukpairinjR11)).
188.59/25.25	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setukpairinjR12)).
188.59/25.25	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setukpairinjR1)).
188.59/25.25	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', upairequniteq)).
188.59/25.25	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setukpairinjR2)).
188.59/25.25	thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', setukpairinjR)).
188.59/25.25	thf(kpair, axiom, ((kpair)=(^[X2:$i, X3:$i]:(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', kpair)).
188.59/25.25	thf(ksnd, axiom, ((ksnd)=(^[X18:$i]:(setunion @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.E4nslxlSNZ/E---3.1_2969395.p', ksnd)).
188.59/25.25	thf(c_0_180, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X528:$i]:((((in @ X528 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X528 @ emptyset))))))))), inference(fof_simplification,[status(thm)],[ex1])).
188.59/25.25	thf(c_0_181, plain, ((singleton)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ Z0))&(((Z0)=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[singleton])).
188.59/25.25	thf(c_0_182, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
188.59/25.25	thf(c_0_183, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
188.59/25.25	thf(c_0_184, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
188.59/25.25	thf(c_0_185, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
188.59/25.25	thf(c_0_186, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
188.59/25.25	thf(c_0_187, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
188.59/25.25	thf(c_0_188, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
188.59/25.25	thf(c_0_189, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
188.59/25.25	thf(c_0_190, 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])).
188.59/25.25	thf(c_0_191, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
188.59/25.25	thf(c_0_192, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
188.59/25.25	thf(c_0_193, 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])).
188.59/25.25	thf(c_0_194, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
188.59/25.25	thf(c_0_195, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
188.59/25.25	thf(c_0_196, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
188.59/25.25	thf(c_0_197, plain, ((iskpair)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ (setunion @ Z0)))&(?[X3:$i]:((((in @ X3 @ (setunion @ Z0)))&(((Z0)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))), inference(fof_simplification,[status(thm)],[iskpair])).
188.59/25.25	thf(c_0_198, 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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
188.59/25.25	thf(c_0_199, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
188.59/25.25	thf(c_0_200, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X528:$i]:((((in @ X528 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X528 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_180, c_0_181])).
188.59/25.25	thf(c_0_201, 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])).
188.59/25.25	thf(c_0_202, 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:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
188.59/25.25	thf(c_0_203, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
188.59/25.25	thf(c_0_204, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
188.59/25.25	thf(c_0_205, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>(((powersetAx)=>((setunionAx)=>((((omegaIndAx)=>(((foundationAx)=>((wellorderingAx)=>((((dsetconstrEL)=>((((prop2setE)=>((((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>(((nonemptyI1)=>(((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>(((emptyinPowerset)=>(((powersetE)=>((setunionI)=>((setunionE)=>(((exuE2)=>(((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((((upairsetIL)=>(((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>(((quantDeMorgan4)=>(((((notdallE)=>((exuI1)=>((exuI3)=>(((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((((powerset__Cong)=>(((omega__Cong)=>((((((eqimpsubset2)=>((eqimpsubset1)=>(((emptysetsubset)=>((((notsubsetI)=>((((subsetRefl)=>(((setadjoinSub)=>(((((subsetemptysetimpeq)=>((powersetI1)=>(((inPowerset)=>((((sepSubset)=>((binunionIL)=>(((binunionIR)=>((binunionEcases)=>(((binunionLsub)=>(((binintersectI)=>(((((binintersectSubset2)=>((binintersectSubset3)=>(((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((((setminusI)=>(((((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>(((symdiffE)=>(((symdiffI2)=>(((symdiffIneg2)=>(((((((((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((((ubforcartprodlem2)=>((ubforcartprodlem3)=>(((cartprodmempair1)=>(((((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>(((ex1I)=>((ex1I2)=>(((setukpairinjL1)=>((((kfstpairEq)=>((((setukpairinjL)=>(((setukpairinjR12)=>(((((![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))<=(ksndsingleton))<=(setukpairinjR))<=(setukpairinjR2))<=(upairequniteq))<=(setukpairinjR1)))<=(setukpairinjR11)))<=(setukpairinjL2))<=(cartprodfstin)))<=(theprop))<=(kfstsingleton)))<=(singletonsuniq))))<=(ex1E1)))))<=(setunionsingleton1))<=(setunionE2))<=(cartprodmempair)))<=(cartprodpairin))))<=(ubforcartprodlem1))<=(upairinpowunion)))))<=(singletoninpowerset))<=(singletonsubset))<=(kpairp))<=(kpairiskpair))<=(setukpairIR))<=(setukpairIL))<=(secondinupair)))<=(symdiffIneg1)))<=(symdiffI1)))<=(setminusSubset1)))))))<=(setminusSubset2))<=(setminusER))<=(setminusEL)))<=(bs114d))<=(binintersectSubset1)))))<=(binintersectER))))<=(binintersectLsub))<=(binintersectEL))<=(binintersectSubset5)))<=(binunionRsub)))<=(binunionE))))<=(upairset2IR))))<=(sepInPowerset))<=(powersetsubset)))<=(powersetE1))))<=(setextsub))<=(subset2powerset))<=(setadjoinSub2)))<=(subsetTrans)))<=(notequalI2))<=(notequalI1)))<=(subsetE2))<=(subsetE)))<=(subsetI2))))<=(subsetI1))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu)))<=(setunion__Cong)))<=(setadjoin__Cong))<=(emptyset__Cong))))))<=(exuI2)))))<=(notdexE))<=(prop2set2propI))<=(prop2setI)))<=(quantDeMorgan3))))))<=(upairsetIR)))<=(upairsetE))<=(singletonsswitch)))))<=(nonemptyImpWitness)))<=(subPowSU)))))<=(emptyInPowerset)))<=(powersetI)))))))<=(setadjoinIL)))<=(nonemptyI)))))))))<=(emptysetimpfalse))<=(emptysetE)))<=(exuE1))<=(dsetconstrER)))<=(dsetconstrI))<=(descrp))))<=(replAx)))<=(omegaSAx))<=(omega0Ax))))<=(setadjoinAx))))), inference(assume_negation,[status(cth)],[ksndpairEq])).
188.59/25.25	thf(c_0_206, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X493:$i]:(((((X6 @ X2 @ X493)))&(![X494:$i]:(((((X6 @ X2 @ X494)))=>(((X493)=(X494)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_182, c_0_183])).
188.59/25.25	thf(c_0_207, plain, ((descrp)=(![X1:$i > $o]:((((?[X495:$i]:(((((X1 @ X495)))&(![X496:$i]:(((((X1 @ X496)))=>(((X495)=(X496))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_184, c_0_183])).
188.59/25.25	thf(c_0_208, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
188.59/25.25	thf(c_0_209, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
188.59/25.25	thf(c_0_210, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
188.59/25.25	thf(c_0_211, plain, ((exuE1)=(![X1:$i > $o]:((((?[X497:$i]:(((((X1 @ X497)))&(![X498:$i]:(((((X1 @ X498)))=>(((X497)=(X498))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_185, c_0_183])).
188.59/25.25	thf(c_0_212, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X499:$i]:(((((X1 @ X499)))&(![X500:$i]:(((((X1 @ X500)))=>(((X499)=(X500))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_186, c_0_183])).
188.59/25.25	thf(c_0_213, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
188.59/25.25	thf(c_0_214, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_187])).
188.59/25.25	thf(c_0_215, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_188, c_0_187])).
188.59/25.25	thf(c_0_216, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_187])).
188.59/25.25	thf(c_0_217, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
188.59/25.25	thf(c_0_218, plain, ((exuE2)=(![X1:$i > $o]:((((?[X501:$i]:(((((X1 @ X501)))&(![X502:$i]:(((((X1 @ X502)))=>(((X501)=(X502))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_189, c_0_183])).
188.59/25.25	thf(c_0_219, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_187])).
188.59/25.25	thf(c_0_220, 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])).
188.59/25.25	thf(c_0_221, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X503:$i]:(((((X1 @ X503)))&(![X504:$i]:(((((X1 @ X504)))=>(((X503)=(X504)))))))))))))), inference(apply_def,[status(thm)],[c_0_190, c_0_183])).
188.59/25.25	thf(c_0_222, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X505:$i]:(((((X1 @ X505)))&(![X506:$i]:(((((X1 @ X506)))=>(((X505)=(X506)))))))))))))))), inference(apply_def,[status(thm)],[c_0_191, c_0_183])).
188.59/25.25	thf(c_0_223, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X507:$i]:(((((X1 @ X507)))&(![X508:$i]:(((((X1 @ X508)))=>(((X507)=(X508)))))))))))))), inference(apply_def,[status(thm)],[c_0_192, c_0_183])).
188.59/25.25	thf(c_0_224, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X509:$i]:(((((X1 @ X509)))&(![X510:$i]:(((((X1 @ X510)))=>(((X509)=(X510))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_193, c_0_183])).
188.59/25.25	thf(c_0_225, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X511:$i]:(((((X1 @ X511)))&(![X512:$i]:(((((X1 @ X512)))=>(((X511)=(X512))))))))))<=>((?[X513:$i]:(((((X17 @ X513)))&(![X514:$i]:(((((X17 @ X514)))=>(((X513)=(X514)))))))))))))))), inference(apply_def,[status(thm)],[c_0_194, c_0_183])).
188.59/25.25	thf(c_0_226, plain, ((exuEu)=(![X1:$i > $o]:((((?[X515:$i]:(((((X1 @ X515)))&(![X516:$i]:(((((X1 @ X516)))=>(((X515)=(X516))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_195, c_0_183])).
188.59/25.25	thf(c_0_227, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X517:$i]:(((((X1 @ X517)))&(![X518:$i]:(((((X1 @ X518)))=>(((X517)=(X518))))))))))=>((((?[X519:$i]:(((((X17 @ X519)))&(![X520:$i]:(((((X17 @ X520)))=>(((X519)=(X520))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_196, c_0_183])).
188.59/25.25	thf(c_0_228, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
188.59/25.25	thf(c_0_229, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
188.59/25.25	thf(c_0_230, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
188.59/25.25	thf(c_0_231, axiom, ((kpairiskpair)=(![X2:$i, X3:$i]:((?[X521:$i]:((((in @ X521 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(?[X522:$i]:((((in @ X522 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X521 @ emptyset) @ (setadjoin @ (setadjoin @ X521 @ (setadjoin @ X522 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairiskpair, c_0_197])).
188.59/25.25	thf(c_0_232, axiom, ((kpairp)=(![X2:$i, X3:$i]:((?[X523:$i]:((((in @ X523 @ (setunion @ (kpair @ X2 @ X3))))&(?[X524:$i]:((((in @ X524 @ (setunion @ (kpair @ X2 @ X3))))&(((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X523 @ emptyset) @ (setadjoin @ (setadjoin @ X523 @ (setadjoin @ X524 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairp, c_0_197])).
188.59/25.25	thf(c_0_233, axiom, ((cartprodmempair)=(![X4:$i, X5:$i, X18:$i]:((((in @ X18 @ (cartprod @ X4 @ X5)))=>((?[X525:$i]:((((in @ X525 @ (setunion @ X18)))&(?[X526:$i]:((((in @ X526 @ (setunion @ X18)))&(((X18)=(setadjoin @ (setadjoin @ X525 @ emptyset) @ (setadjoin @ (setadjoin @ X525 @ (setadjoin @ X526 @ emptyset)) @ emptyset))))))))))))))), inference(apply_def,[status(thm)],[cartprodmempair, c_0_197])).
188.59/25.25	thf(c_0_234, plain, ((singletonprop)=(![X4:$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)))))=>((?[X527:$i]:((((in @ X527 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(setadjoin @ X527 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_198, c_0_181])).
188.59/25.25	thf(c_0_235, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:((((?[X529:$i]:((((in @ X529 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X529 @ emptyset)))))))=>(?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2))))))))), inference(apply_def,[status(thm)],[c_0_199, c_0_200])).
188.59/25.25	thf(c_0_236, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>(((![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X3))=>(((X3)=(X2))))))))=>((?[X530:$i]:((((in @ X530 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X530 @ emptyset))))))))))))))), inference(apply_def,[status(thm)],[c_0_201, c_0_200])).
188.59/25.25	thf(c_0_237, 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)))))=>((?[X531:$i]:((((in @ X531 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X531 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_202, c_0_200])).
188.59/25.25	thf(c_0_238, plain, ((kfstsingleton)=(![X18:$i]:((((?[X532:$i]:((((in @ X532 @ (setunion @ X18)))&(?[X533:$i]:((((in @ X533 @ (setunion @ X18)))&(((X18)=(setadjoin @ (setadjoin @ X532 @ emptyset) @ (setadjoin @ (setadjoin @ X532 @ (setadjoin @ X533 @ emptyset)) @ emptyset)))))))))))=>((?[X534:$i]:((((in @ X534 @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))))&(((dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))=(setadjoin @ X534 @ emptyset))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_203, c_0_197]), c_0_181])).
188.59/25.25	thf(c_0_239, axiom, ((theprop)=(![X21:$i]:((((?[X535:$i]:((((in @ X535 @ X21))&(((X21)=(setadjoin @ X535 @ emptyset)))))))=>((in @ (setunion @ X21) @ X21)))))), inference(apply_def,[status(thm)],[theprop, c_0_181])).
188.59/25.25	thf(c_0_240, plain, ((ksndsingleton)=(![X18:$i]:((((?[X536:$i]:((((in @ X536 @ (setunion @ X18)))&(?[X537:$i]:((((in @ X537 @ (setunion @ X18)))&(((X18)=(setadjoin @ (setadjoin @ X536 @ emptyset) @ (setadjoin @ (setadjoin @ X536 @ (setadjoin @ X537 @ emptyset)) @ emptyset)))))))))))=>((?[X538:$i]:((((in @ X538 @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0)))))))&(((dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0)))))=(setadjoin @ X538 @ emptyset))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_204, c_0_197]), c_0_181])).
188.59/25.25	thf(c_0_241, plain, ((epred1_0)<=>![X556:$i]:(?[X557:$i]:((((![X558:$i]:(((in @ X558 @ X557)=>![X559:$i]:(((in @ X559 @ X558)=>(in @ X559 @ X556)))))&![X560:$i, X561:$i]:((((in @ X560 @ X556)&(in @ X561 @ X556))=>(![X562:$i]:(((in @ X562 @ X557)=>((in @ X560 @ X562)<=>(in @ X561 @ X562))))=>((X560)=(X561))))))&![X563:$i, X564:$i]:((((in @ X563 @ X557)&(in @ X564 @ X557))=>(![X565:$i]:(((in @ X565 @ X563)=>(in @ X565 @ X564)))|![X566:$i]:(((in @ X566 @ X564)=>(in @ X566 @ X563)))))))&![X567:$i]:(((![X568:$i]:(((in @ X568 @ X567)=>(in @ X568 @ X556)))&?[X569:$i]:((in @ X569 @ X567)))=>?[X570:$i, X571:$i]:(((((in @ X570 @ X557)&(in @ X571 @ X567))&~(?[X572:$i]:(((in @ X572 @ X570)&(in @ X572 @ X567)))))&![X573:$i]:(((in @ X573 @ X557)=>(![X574:$i]:(((in @ X574 @ X573)=>(in @ X574 @ X570)))|(in @ X571 @ X573)))))))))))), introduced(definition)).
188.59/25.25	thf(c_0_242, negated_conjecture, ~((![X539:$i, X540:$i]:((![X541:$i]:(((in @ X541 @ X539)<=>(in @ X541 @ X540)))=>((X539)=(X540))))=>(![X542:$i]:(~(in @ X542 @ emptyset))=>(![X1050:$i, X1051:$i, X1052:$i]:(((in @ X1052 @ (setadjoin @ X1050 @ X1051))<=>(((X1052)=(X1050))|(in @ X1052 @ X1051))))=>(![X543:$i, X544:$i]:(((in @ X544 @ (powerset @ X543))<=>![X545:$i]:(((in @ X545 @ X544)=>(in @ X545 @ X543)))))=>(![X546:$i, X547:$i]:(((in @ X547 @ (setunion @ X546))<=>?[X548:$i]:(((in @ X547 @ X548)&(in @ X548 @ X546)))))=>((in @ emptyset @ omega)=>(![X1049:$i]:(((in @ X1049 @ omega)=>(in @ (setadjoin @ X1049 @ X1049) @ omega)))=>(![X549:$i]:((((in @ emptyset @ X549)&![X550:$i]:((((in @ X550 @ omega)&(in @ X550 @ X549))=>(in @ (setadjoin @ X550 @ X550) @ X549))))=>![X551:$i]:(((in @ X551 @ omega)=>(in @ X551 @ X549)))))=>(![X1041:$i > $i > $o, X1042:$i]:((![X1043:$i]:(((in @ X1043 @ X1042)=>?[X1044:$i]:(((X1041 @ X1043 @ X1044)&![X1045:$i]:(((X1041 @ X1043 @ X1045)=>((X1044)=(X1045))))))))=>?[X1046:$i]:(![X1047:$i]:(((in @ X1047 @ X1046)<=>?[X1048:$i]:(((in @ X1048 @ X1042)&(X1041 @ X1048 @ X1047))))))))=>(![X552:$i]:((?[X553:$i]:((in @ X553 @ X552))=>?[X554:$i]:(((in @ X554 @ X552)&~(?[X555:$i]:(((in @ X555 @ X554)&(in @ X555 @ X552))))))))=>((epred1_0)=>(![X1038:$i > $o]:((?[X1039:$i]:(((X1038 @ X1039)&![X1040:$i]:(((X1038 @ X1040)=>((X1039)=(X1040))))))=>(X1038 @ (descr @ (^[Z0:$i]:(X1038 @ Z0))))))=>(![X1035:$i, X1036:$i > $o, X1037:$i]:(((in @ X1037 @ X1035)=>((X1036 @ X1037)=>(in @ X1037 @ (dsetconstr @ X1035 @ X1036)))))=>(![X575:$i, X576:$i > $o, X577:$i]:(((in @ X577 @ (dsetconstr @ X575 @ X576))=>(in @ X577 @ X575)))=>(![X1032:$i, X1033:$i > $o, X1034:$i]:(((in @ X1034 @ (dsetconstr @ X1032 @ X1033))=>(X1033 @ X1034)))=>(![X1027:$i > $o]:((?[X1028:$i]:(((X1027 @ X1028)&![X1029:$i]:(((X1027 @ X1029)=>((X1028)=(X1029))))))=>?[X1030:$i]:(((X1027 @ X1030)&![X1031:$i]:(((X1027 @ X1031)=>((X1030)=(X1031))))))))=>(![X578:$o, X579:$i]:(((in @ X579 @ (prop2set @ ((X578))))=>(X578)))=>(![X1025:$i]:(((in @ X1025 @ emptyset)=>![X1026:$o]:((X1026))))=>(![X1024:$i]:(((in @ X1024 @ emptyset)=>~($true)))=>(![X580:$i]:(~(in @ X580 @ emptyset))=>(![X581:$i > $o]:((?[X582:$i]:(((X581 @ X582)&![X583:$i]:(((X581 @ X583)=>((X582)=(X583))))))=>?[X584:$i]:((X581 @ X584))))=>(![X585:$i, X586:$i]:((![X587:$i]:(((in @ X587 @ X585)=>(in @ X587 @ X586)))=>(![X588:$i]:(((in @ X588 @ X586)=>(in @ X588 @ X585)))=>((X585)=(X586)))))=>(![X589:$i]:((![X590:$i]:(~(in @ X590 @ X589))=>((X589)=(emptyset))))=>(![X591:$i]:((![X592:$i]:(~(in @ X592 @ X591))=>((X591)=(emptyset))))=>(![X593:$i, X594:$i > $o, X595:$i]:(((in @ X595 @ X593)=>((in @ X595 @ (dsetconstr @ X593 @ X594))<=>(X594 @ X595))))=>(![X596:$i]:((((X596)!=(emptyset))=>?[X597:$i]:((in @ X597 @ X596))))=>(![X1021:$i, X1022:$i > $o, X1023:$i]:(((in @ X1023 @ X1021)=>((X1022 @ X1023)=>((dsetconstr @ X1021 @ X1022)!=(emptyset)))))=>(![X598:$i]:((?[X599:$i]:((in @ X599 @ X598))=>((X598)!=(emptyset))))=>(![X1019:$i, X1020:$i]:((in @ X1019 @ (setadjoin @ X1019 @ X1020)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X600:$i, X601:$i, X602:$i]:(((in @ X602 @ X601)=>(in @ X602 @ (setadjoin @ X600 @ X601))))=>(![X603:$i, X604:$i, X605:$i]:(((in @ X605 @ (setadjoin @ X603 @ X604))=>![X606:$o]:(((((X605)=(X603))=>(X606))=>(((in @ X605 @ X604)=>(X606))=>(X606))))))=>(![X607:$i, X608:$i, X609:$i]:(((in @ X609 @ (setadjoin @ X607 @ X608))=>(((X609)=(X607))|(in @ X609 @ X608))))=>(![X610:$i]:(((dsetconstr @ X610 @ (^[Z0:$i]:($true)))=(X610)))=>(![X1016:$i, X1017:$i]:((![X1018:$i]:(((in @ X1018 @ X1017)=>(in @ X1018 @ X1016)))=>(in @ X1017 @ (powerset @ X1016))))=>(![X611:$i]:((in @ emptyset @ (powerset @ X611)))=>(![X1015:$i]:((in @ emptyset @ (powerset @ X1015)))=>(![X612:$i, X613:$i, X614:$i]:(((in @ X613 @ (powerset @ X612))=>((in @ X614 @ X613)=>(in @ X614 @ X612))))=>(![X615:$i, X616:$i, X617:$i]:(((in @ X616 @ X617)=>((in @ X617 @ X615)=>(in @ X616 @ (setunion @ X615)))))=>(![X618:$i, X619:$i]:(((in @ X619 @ (setunion @ X618))=>![X620:$o]:((![X621:$i]:(((in @ X619 @ X621)=>((in @ X621 @ X618)=>(X620))))=>(X620)))))=>(![X1013:$i, X1014:$i]:(((in @ X1014 @ X1013)=>(in @ X1014 @ (powerset @ (setunion @ X1013)))))=>(![X622:$i > $o]:((?[X623:$i]:(((X622 @ X623)&![X624:$i]:(((X622 @ X624)=>((X623)=(X624))))))=>?[X625:$i]:(![X626:$i]:(((X622 @ X626)<=>((X626)=(X625)))))))=>(![X1011:$i]:((((X1011)!=(emptyset))=>?[X1012:$i]:(((in @ X1012 @ X1011)&$true))))=>(![X627:$i, X628:$i]:(((in @ X627 @ (setadjoin @ X628 @ emptyset))=>((X627)=(X628))))=>(![X629:$i, X630:$i]:((((X629)!=(X630))=>~(in @ X630 @ (setadjoin @ X629 @ emptyset))))=>(![X631:$i, X632:$i]:((((X631)=(X632))=>(in @ X631 @ (setadjoin @ X632 @ emptyset))))=>(![X1009:$i, X1010:$i]:(((in @ X1009 @ (setadjoin @ X1010 @ emptyset))=>(in @ X1010 @ (setadjoin @ X1009 @ emptyset))))=>(![X1006:$i, X1007:$i, X1008:$i]:(((in @ X1008 @ (setadjoin @ X1006 @ (setadjoin @ X1007 @ emptyset)))=>(((X1008)=(X1006))|((X1008)=(X1007)))))=>(![X633:$i, X634:$i]:((in @ X633 @ (setadjoin @ X633 @ (setadjoin @ X634 @ emptyset))))=>(![X1004:$i, X1005:$i]:((in @ X1005 @ (setadjoin @ X1004 @ (setadjoin @ X1005 @ emptyset))))=>(![X635:$i, X636:$i > $o]:((?[X637:$i]:(((in @ X637 @ X635)&(X636 @ X637)))=>(((dsetconstr @ X635 @ X636)=(emptyset))=>~($true))))=>(![X638:$i > $o, X639:$i]:(((in @ X639 @ emptyset)=>(X638 @ X639)))=>(![X640:$i, X641:$i > $o]:((~(![X642:$i]:(((in @ X642 @ X640)=>(X641 @ X642))))=>?[X643:$i]:(((in @ X643 @ X640)&~((X641 @ X643))))))=>(![X644:$i, X645:$i > $o]:((![X646:$i]:(((in @ X646 @ X644)=>~((X645 @ X646))))=>~(?[X647:$i]:(((in @ X647 @ X644)&(X645 @ X647))))))=>(![X1000:$i, X1001:$i > $o]:((~(?[X1002:$i]:(((in @ X1002 @ X1000)&(X1001 @ X1002))))=>![X1003:$i]:(((in @ X1003 @ X1000)=>~((X1001 @ X1003))))))=>(![X648:$i, X649:$i > $o]:((?[X650:$i]:(((in @ X650 @ X648)&~((X649 @ X650))))=>~(![X651:$i]:(((in @ X651 @ X648)=>(X649 @ X651))))))=>(![X999:$o]:(((X999)=>(in @ emptyset @ (prop2set @ ((X999))))))=>(![X998:$o]:(((X998)=>(set2prop @ (prop2set @ ((X998))))))=>(![X994:$i, X995:$i > $o]:((~(?[X996:$i]:(((in @ X996 @ X994)&(X995 @ X996))))=>![X997:$i]:(((in @ X997 @ X994)=>~((X995 @ X997))))))=>(![X652:$i, X653:$i > $o]:((~(![X654:$i]:(((in @ X654 @ X652)=>(X653 @ X654))))=>?[X655:$i]:(((in @ X655 @ X652)&~((X653 @ X655))))))=>(![X656:$i > $o]:((?[X657:$i]:(((X656 @ X657)&![X658:$i]:(((X656 @ X658)=>((X657)=(X658))))))=>?[X659:$i]:(((X656 @ X659)&![X660:$i]:(((X656 @ X660)=>((X659)=(X660))))))))=>(![X661:$i > $o]:((?[X662:$i]:((X661 @ X662))=>(![X663:$i, X664:$i]:(((X661 @ X663)=>((X661 @ X664)=>((X663)=(X664)))))=>?[X665:$i]:(((X661 @ X665)&![X666:$i]:(((X661 @ X666)=>((X665)=(X666)))))))))=>(![X989:$i > $o]:((?[X990:$i]:(![X991:$i]:(((X989 @ X991)<=>((X991)=(X990)))))=>?[X992:$i]:(((X989 @ X992)&![X993:$i]:(((X989 @ X993)=>((X992)=(X993))))))))=>(![X667:$i, X668:$i]:((((X667)=(X668))=>![X669:$i, X670:$i]:((((X669)=(X670))=>((in @ X669 @ X667)=>(in @ X670 @ X668))))))=>(![X671:$i, X672:$i]:((((X671)=(X672))=>![X673:$i, X674:$i]:((((X673)=(X674))=>((in @ X673 @ X671)<=>(in @ X674 @ X672))))))=>(![X675:$i > $o]:((?[X676:$i]:(((X675 @ X676)&![X677:$i]:(((X675 @ X677)=>((X676)=(X677))))))=>![X678:$i, X679:$i]:(((X675 @ X678)=>((X675 @ X679)=>((X678)=(X679)))))))=>(![X680:$i > $o, X681:$i > $o]:((![X682:$i, X683:$i]:((((X682)=(X683))=>((X680 @ X682)<=>(X681 @ X683))))=>(?[X684:$i]:(((X680 @ X684)&![X685:$i]:(((X680 @ X685)=>((X684)=(X685))))))<=>?[X686:$i]:(((X681 @ X686)&![X687:$i]:(((X681 @ X687)=>((X686)=(X687)))))))))=>(((emptyset)=(emptyset))=>(![X985:$i, X986:$i]:((((X985)=(X986))=>![X987:$i, X988:$i]:((((X987)=(X988))=>((setadjoin @ X985 @ X987)=(setadjoin @ X986 @ X988))))))=>(![X688:$i, X689:$i]:((((X688)=(X689))=>((powerset @ X688)=(powerset @ X689))))=>(![X983:$i, X984:$i]:((((X983)=(X984))=>((setunion @ X983)=(setunion @ X984))))=>(((omega)=(omega))=>(![X978:$i > 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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)],[c_0_205, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_206]), foundationAx]), wellorderingAx]), c_0_207]), c_0_208]), c_0_209]), c_0_210]), c_0_211]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_212]), setext]), emptyI]), noeltsimpempty]), c_0_213]), c_0_214]), c_0_215]), c_0_216]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_217]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_218]), c_0_219]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_220]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_221]), c_0_222]), c_0_223]), inCongP]), in__Cong]), c_0_224]), c_0_225]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_226]), c_0_227]), c_0_228]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_229]), c_0_230]), 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]), c_0_231]), c_0_232]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), c_0_233]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_234]), c_0_235]), c_0_236]), c_0_237]), singletonsuniq]), setukpairinjL1]), c_0_238]), c_0_239]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), c_0_240])])]), c_0_241])).
188.59/25.25	thf(c_0_243, plain, ![X1053:$i, X1054:$i]:(((kpair @ X1053 @ X1054)=(setadjoin @ (setadjoin @ X1053 @ emptyset) @ (setadjoin @ (setadjoin @ X1053 @ (setadjoin @ X1054 @ emptyset)) @ emptyset)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[kpair])])).
188.59/25.25	thf(c_0_244, negated_conjecture, ![X1059:$i, X1060:$i, X1062:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1072:$i, X1073:$i, X1075:$i, X1076:$i, X1077:$i, X1078:$i, X1079:$i, X1081:$i, X1082:$i > $i > $o, X1083:$i, X1085:$i, X1088:$i, X1090:$i, X1091:$i, X1092:$i, X1093:$i, X1095:$i, X1096:$i > $o, X1097:$i, X1099:$i, X1100:$i > $o, X1101:$i, X1102:$i, X1103:$i > $o, X1104:$i, X1105:$i, X1106:$i > $o, X1107:$i, X1108:$i > $o, X1109:$i, X1112:$i, X1113:$o, X1114:$i, X1115:$i, X1116:$o, X1117:$i, X1118:$i, X1119:$i > $o, X1120:$i, X1123:$i, X1124:$i, X1127:$i, X1129:$i, X1131:$i, X1132:$i > $o, X1133:$i, X1134:$i, X1136:$i, X1137:$i > $o, X1138:$i, X1139:$i, X1140:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1148:$i, X1149:$o, X1150:$i, X1151:$i, X1152:$i, X1153:$i, X1154:$i, X1155:$i, X1157:$i, X1158:$i, X1159:$i, X1160:$i, X1161:$i, X1162:$i, X1163:$i, X1164:$i, X1165:$i, X1166:$i, X1167:$o, X1169:$i, X1170:$i, X1171:$i > $o, X1172:$i, X1175:$i, X1176:$i, X1177:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$i, X1185:$i, X1186:$i, X1187:$i, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1192:$i, X1193:$i, X1194:$i, X1195:$i > $o, X1196:$i, X1197:$i > $o, X1198:$i, X1199:$i, X1200:$i > $o, X1201:$i, X1203:$i, X1204:$i > $o, X1206:$i, X1207:$i, X1208:$i > $o, X1210:$i, X1211:$i, X1212:$i > $o, X1213:$i, X1215:$o, X1216:$o, X1217:$i, X1218:$i > $o, X1220:$i, X1221:$i, X1222:$i > $o, X1223:$i, X1225:$i > $o, X1226:$i, X1229:$i, X1230:$i > $o, X1231:$i, X1235:$i, X1236:$i > $o, X1237:$i, X1240:$i, X1241:$i, X1242:$i, X1243:$i, X1244:$i, X1245:$i, X1246:$i, X1247:$i, X1248:$i, X1249:$i > $o, X1250:$i, X1252:$i, X1253:$i, X1254:$i > $o, X1255:$i > $o, X1258:$i, X1261:$i, X1262:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i, X1269:$i, X1270:$i, X1271:$i, X1272:$i, X1273:$i, X1274:$i > $o, X1275:$i, X1277:$i, X1278:$i, X1279:$i > $o, X1280:$i > $o, X1283:$i, X1285:$i, X1287:$i, X1288:$i, X1289:$i > $o, X1290:$i > $o, X1293:$i, X1294:$i, X1296:$i, X1297:$i, X1298:$i, X1299:$i, X1300:$i, X1301:$i, X1303:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$i, X1317:$i, X1318:$i, X1319:$i, X1320:$i, X1321:$i, X1322:$i, X1323:$i, X1324:$i, X1325:$i, X1326:$i, X1327:$i, X1328:$i, X1329:$i, X1330:$i, X1331:$i, X1332:$i, X1333:$i, X1334:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i > $o, X1341:$i, X1342:$i > $o, X1343:$i, X1344:$i, X1345:$i, X1346:$i, X1347:$i, X1348:$i, X1349:$i, X1350:$i, X1351:$i, X1352:$i, X1353:$i, X1354:$o, X1355:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1362:$i, X1363:$i, X1364:$i, X1365:$i, X1366:$i, X1367:$i, X1368:$i, X1369:$i, X1370:$i, X1371:$i, X1372:$i, X1373:$i, X1374:$i, X1375:$i, X1376:$i, X1377:$i, X1378:$i, X1379:$i, X1380:$i, X1381:$i, X1383:$i, X1384:$i, X1385:$i, X1386:$i, X1387:$i, X1388:$i, X1389:$i, X1390:$i, X1391:$i, X1392:$i, X1393:$i, X1394:$i, X1395:$i, X1396:$i, X1397:$i, X1398:$i, X1399:$i, X1400:$i, X1401:$i, X1402:$i, X1403:$i, X1404:$i, X1405:$i, X1406:$i, X1407:$i, X1408:$i, X1409:$i, X1410:$i, X1411:$i, X1412:$i, X1413:$i, X1414:$i, X1415:$i, X1416:$i, X1417:$i, X1418:$i, X1419:$i, X1420:$i, X1421:$i, X1422:$o, X1423:$i, X1424:$i, X1425:$i, X1426:$i, X1427:$i, X1428:$i, X1429:$i, X1430:$i, X1431:$i, X1432:$i, X1433:$i, X1434:$i, X1435:$i, X1436:$i, X1437:$i, X1438:$i, X1439:$i, X1440:$i, X1441:$i, X1442:$i, X1445:$i, X1446:$i, X1449:$i, X1450:$i, X1451:$i, X1452:$i, X1453:$i, X1454:$i, X1455:$i, X1456:$i, X1457:$i, X1458:$i, X1459:$i, X1460:$i, X1461:$i, X1462:$i, X1463:$i, X1464:$i, X1465:$i, X1466:$i, X1467:$i, X1468:$i, X1469:$i, X1470:$i, X1471:$i, X1472:$i, X1473:$i, X1474:$i, X1475:$i, X1476:$i, X1477:$i, X1478:$i, X1479:$i, X1480:$i, X1481:$i, X1482:$i, X1483:$i, X1484:$i, X1485:$i, X1488:$i, X1489:$i, X1490:$i, X1493:$i, X1494:$i, X1496:$i, X1497:$i, X1498:$i, X1499:$i, X1500:$i > $o, X1503:$i, X1505:$i, X1506:$i > $o, X1507:$i, X1509:$i, X1510:$i > $o, X1511:$i, X1514:$i, X1515:$i > $o, X1518:$i, X1520:$i, X1521:$i, X1522:$i, X1523:$i, X1524:$i, X1525:$i, X1526:$i, X1527:$i, X1529:$i, X1530:$i, X1531:$i, X1532:$i, X1533:$i, X1534:$i, X1535:$i, X1536:$i, X1537:$i, X1538:$i, X1539:$i, X1540:$i, X1541:$i, X1542:$i, X1543:$i, X1544:$i, X1545:$i, X1546:$i, X1547:$i, X1548:$i, X1549:$i, X1550:$i, X1551:$i, X1552:$i, X1553:$i, X1554:$i, X1555:$i, X1556:$i, X1557:$i, X1558:$i, X1559:$i, X1560:$i, X1561:$i, X1562:$i, X1563:$i, X1564:$i, X1565:$i]:((((~(in @ (esk1_2 @ X1059 @ X1060) @ X1059)|~(in @ (esk1_2 @ X1059 @ X1060) @ X1060)|((X1059)=(X1060)))&((in @ (esk1_2 @ X1059 @ X1060) @ X1059)|(in @ (esk1_2 @ X1059 @ X1060) @ X1060)|((X1059)=(X1060))))&(~(in @ X1062 @ emptyset)&(((~(in @ X1065 @ (setadjoin @ X1063 @ X1064))|(((X1065)=(X1063))|(in @ X1065 @ X1064)))&((((X1065)!=(X1063))|(in @ X1065 @ (setadjoin @ X1063 @ X1064)))&(~(in @ X1065 @ X1064)|(in @ X1065 @ (setadjoin @ X1063 @ X1064)))))&(((~(in @ X1067 @ (powerset @ X1066))|(~(in @ X1068 @ X1067)|(in @ X1068 @ X1066)))&(((in @ (esk2_2 @ X1069 @ X1070) @ X1070)|(in @ X1070 @ (powerset @ X1069)))&(~(in @ (esk2_2 @ X1069 @ X1070) @ X1069)|(in @ X1070 @ (powerset @ X1069)))))&(((((in @ X1073 @ (esk3_2 @ X1072 @ X1073))|~(in @ X1073 @ (setunion @ X1072)))&((in @ (esk3_2 @ X1072 @ X1073) @ X1072)|~(in @ X1073 @ (setunion @ X1072))))&(~(in @ X1076 @ X1077)|~(in @ X1077 @ X1075)|(in @ X1076 @ (setunion @ X1075))))&((in @ emptyset @ omega)&((~(in @ X1078 @ omega)|(in @ (setadjoin @ X1078 @ X1078) @ omega))&(((((in @ (esk4_1 @ X1079) @ omega)|~(in @ emptyset @ X1079)|(~(in @ X1081 @ omega)|(in @ X1081 @ X1079)))&((in @ (esk4_1 @ X1079) @ X1079)|~(in @ emptyset @ X1079)|(~(in @ X1081 @ omega)|(in @ X1081 @ X1079))))&(~(in @ (setadjoin @ (esk4_1 @ X1079) @ (esk4_1 @ X1079)) @ X1079)|~(in @ emptyset @ X1079)|(~(in @ X1081 @ omega)|(in @ X1081 @ X1079))))&((((((in @ (esk8_3 @ X1082 @ X1083 @ X1088) @ X1083)|~(in @ X1088 @ (esk7_2 @ X1082 @ X1083))|(in @ (esk5_2 @ X1082 @ X1083) @ X1083))&((X1082 @ (esk8_3 @ X1082 @ X1083 @ X1088) @ X1088)|~(in @ X1088 @ (esk7_2 @ X1082 @ X1083))|(in @ (esk5_2 @ X1082 @ X1083) @ X1083)))&(~(in @ X1091 @ X1083)|~(X1082 @ X1091 @ X1090)|(in @ X1090 @ (esk7_2 @ X1082 @ X1083))|(in @ (esk5_2 @ X1082 @ X1083) @ X1083)))&(((((in @ (esk8_3 @ X1082 @ X1083 @ X1088) @ X1083)|~(in @ X1088 @ (esk7_2 @ X1082 @ X1083))|((X1082 @ (esk5_2 @ X1082 @ X1083) @ (esk6_3 @ X1082 @ X1083 @ X1085))|~(X1082 @ (esk5_2 @ X1082 @ X1083) @ X1085)))&((X1082 @ (esk8_3 @ X1082 @ X1083 @ X1088) @ X1088)|~(in @ X1088 @ (esk7_2 @ X1082 @ X1083))|((X1082 @ (esk5_2 @ X1082 @ X1083) @ (esk6_3 @ X1082 @ X1083 @ X1085))|~(X1082 @ (esk5_2 @ X1082 @ X1083) @ X1085))))&(~(in @ X1091 @ X1083)|~(X1082 @ X1091 @ X1090)|(in @ X1090 @ (esk7_2 @ X1082 @ X1083))|((X1082 @ (esk5_2 @ X1082 @ X1083) @ (esk6_3 @ X1082 @ X1083 @ X1085))|~(X1082 @ (esk5_2 @ X1082 @ X1083) @ X1085))))&((((in @ (esk8_3 @ 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emptyset))|(~(in @ X1503 @ X1499)|~(X1500 @ X1503))|(in @ (esk64_2 @ X1499 @ X1500) @ X1499)))&((((in @ (esk66_2 @ X1499 @ X1500) @ (dsetconstr @ X1499 @ X1500))|(~(in @ X1503 @ X1499)|~(X1500 @ X1503))|(in @ (esk65_2 @ X1499 @ X1500) @ X1499))&(((dsetconstr @ X1499 @ X1500)=(setadjoin @ (esk66_2 @ X1499 @ X1500) @ emptyset))|(~(in @ X1503 @ X1499)|~(X1500 @ X1503))|(in @ (esk65_2 @ X1499 @ X1500) @ X1499)))&((((in @ (esk66_2 @ X1499 @ X1500) @ (dsetconstr @ X1499 @ X1500))|(~(in @ X1503 @ X1499)|~(X1500 @ X1503))|(X1500 @ (esk64_2 @ X1499 @ X1500)))&(((dsetconstr @ X1499 @ X1500)=(setadjoin @ (esk66_2 @ X1499 @ X1500) @ emptyset))|(~(in @ X1503 @ X1499)|~(X1500 @ X1503))|(X1500 @ (esk64_2 @ X1499 @ X1500))))&((((in @ (esk66_2 @ X1499 @ X1500) @ (dsetconstr @ X1499 @ X1500))|(~(in @ X1503 @ X1499)|~(X1500 @ X1503))|(X1500 @ (esk65_2 @ X1499 @ X1500)))&(((dsetconstr @ X1499 @ X1500)=(setadjoin @ (esk66_2 @ X1499 @ X1500) @ emptyset))|(~(in @ X1503 @ X1499)|~(X1500 @ X1503))|(X1500 @ (esk65_2 @ X1499 @ X1500))))&(((in @ (esk66_2 @ X1499 @ X1500) @ (dsetconstr @ X1499 @ X1500))|(~(in @ X1503 @ X1499)|~(X1500 @ X1503))|((esk64_2 @ X1499 @ X1500)!=(esk65_2 @ X1499 @ X1500)))&(((dsetconstr @ X1499 @ X1500)=(setadjoin @ (esk66_2 @ X1499 @ X1500) @ emptyset))|(~(in @ X1503 @ X1499)|~(X1500 @ X1503))|((esk64_2 @ X1499 @ X1500)!=(esk65_2 @ X1499 @ X1500))))))))&((((in @ (esk67_2 @ X1505 @ X1506) @ X1505)|(~(in @ X1507 @ (dsetconstr @ X1505 @ X1506))|((dsetconstr @ X1505 @ X1506)!=(setadjoin @ X1507 @ emptyset))))&((X1506 @ (esk67_2 @ X1505 @ X1506))|(~(in @ X1507 @ (dsetconstr @ X1505 @ X1506))|((dsetconstr @ X1505 @ X1506)!=(setadjoin @ X1507 @ emptyset)))))&(((((in @ (esk69_3 @ X1509 @ X1510 @ X1511) @ (dsetconstr @ X1509 @ X1510))|(in @ (esk68_3 @ X1509 @ X1510 @ X1511) @ X1509)|~(X1510 @ X1511)|~(in @ X1511 @ X1509))&(((dsetconstr @ X1509 @ X1510)=(setadjoin @ (esk69_3 @ X1509 @ X1510 @ X1511) @ emptyset))|(in @ (esk68_3 @ X1509 @ X1510 @ X1511) @ X1509)|~(X1510 @ X1511)|~(in @ X1511 @ X1509)))&((((in @ (esk69_3 @ X1509 @ X1510 @ X1511) @ (dsetconstr @ X1509 @ X1510))|(X1510 @ (esk68_3 @ X1509 @ X1510 @ X1511))|~(X1510 @ X1511)|~(in @ X1511 @ X1509))&(((dsetconstr @ X1509 @ X1510)=(setadjoin @ (esk69_3 @ X1509 @ X1510 @ X1511) @ emptyset))|(X1510 @ (esk68_3 @ X1509 @ X1510 @ X1511))|~(X1510 @ X1511)|~(in @ X1511 @ X1509)))&(((in @ (esk69_3 @ X1509 @ X1510 @ X1511) @ (dsetconstr @ X1509 @ X1510))|((esk68_3 @ X1509 @ X1510 @ X1511)!=(X1511))|~(X1510 @ X1511)|~(in @ X1511 @ X1509))&(((dsetconstr @ X1509 @ X1510)=(setadjoin @ (esk69_3 @ X1509 @ X1510 @ X1511) @ emptyset))|((esk68_3 @ X1509 @ X1510 @ X1511)!=(X1511))|~(X1510 @ X1511)|~(in @ X1511 @ X1509)))))&(((((in @ (esk72_2 @ X1514 @ X1515) @ (dsetconstr @ X1514 @ X1515))|(~(in @ X1518 @ X1514)|~(X1515 @ X1518))|(in @ (esk70_2 @ X1514 @ X1515) @ X1514))&(((dsetconstr @ X1514 @ X1515)=(setadjoin @ (esk72_2 @ X1514 @ X1515) @ emptyset))|(~(in @ X1518 @ X1514)|~(X1515 @ X1518))|(in @ (esk70_2 @ X1514 @ X1515) @ X1514)))&((((in @ (esk72_2 @ X1514 @ X1515) @ (dsetconstr @ X1514 @ X1515))|(~(in @ X1518 @ X1514)|~(X1515 @ X1518))|(in @ (esk71_2 @ X1514 @ X1515) @ X1514))&(((dsetconstr @ X1514 @ X1515)=(setadjoin @ (esk72_2 @ X1514 @ X1515) @ emptyset))|(~(in @ X1518 @ X1514)|~(X1515 @ X1518))|(in @ (esk71_2 @ X1514 @ X1515) @ X1514)))&((((in @ (esk72_2 @ X1514 @ X1515) @ (dsetconstr @ X1514 @ X1515))|(~(in @ X1518 @ X1514)|~(X1515 @ X1518))|(X1515 @ (esk70_2 @ X1514 @ X1515)))&(((dsetconstr @ X1514 @ X1515)=(setadjoin @ (esk72_2 @ X1514 @ X1515) @ emptyset))|(~(in @ X1518 @ X1514)|~(X1515 @ X1518))|(X1515 @ (esk70_2 @ X1514 @ X1515))))&((((in @ (esk72_2 @ X1514 @ X1515) @ (dsetconstr @ X1514 @ X1515))|(~(in @ X1518 @ X1514)|~(X1515 @ X1518))|(X1515 @ (esk71_2 @ X1514 @ X1515)))&(((dsetconstr @ X1514 @ X1515)=(setadjoin @ (esk72_2 @ X1514 @ X1515) @ emptyset))|(~(in @ X1518 @ X1514)|~(X1515 @ X1518))|(X1515 @ (esk71_2 @ X1514 @ X1515))))&(((in @ (esk72_2 @ X1514 @ X1515) @ (dsetconstr @ X1514 @ X1515))|(~(in @ X1518 @ X1514)|~(X1515 @ X1518))|((esk70_2 @ X1514 @ X1515)!=(esk71_2 @ X1514 @ X1515)))&(((dsetconstr @ X1514 @ X1515)=(setadjoin @ (esk72_2 @ X1514 @ X1515) @ emptyset))|(~(in @ X1518 @ X1514)|~(X1515 @ X1518))|((esk70_2 @ X1514 @ X1515)!=(esk71_2 @ X1514 @ X1515))))))))&((((setadjoin @ X1520 @ emptyset)!=(setadjoin @ X1521 @ emptyset))|((X1520)=(X1521)))&((~(in @ (setadjoin @ X1524 @ emptyset) @ (setadjoin @ (setadjoin @ X1522 @ emptyset) @ (setadjoin @ (setadjoin @ X1522 @ (setadjoin @ X1523 @ emptyset)) @ emptyset)))|((X1522)=(X1524)))&((((in @ (esk73_1 @ X1525) @ (dsetconstr @ (setunion @ X1525) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1525)))))|(~(in @ X1526 @ (setunion @ X1525))|(~(in @ X1527 @ (setunion @ X1525))|((X1525)!=(setadjoin @ (setadjoin @ X1526 @ emptyset) @ (setadjoin @ (setadjoin @ X1526 @ (setadjoin @ X1527 @ emptyset)) @ emptyset))))))&(((dsetconstr @ (setunion @ X1525) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1525))))=(setadjoin @ (esk73_1 @ X1525) @ emptyset))|(~(in @ X1526 @ (setunion @ X1525))|(~(in @ X1527 @ (setunion @ X1525))|((X1525)!=(setadjoin @ (setadjoin @ X1526 @ emptyset) @ (setadjoin @ (setadjoin @ X1526 @ (setadjoin @ X1527 @ emptyset)) @ emptyset)))))))&((~(in @ X1530 @ X1529)|((X1529)!=(setadjoin @ X1530 @ emptyset))|(in @ (setunion @ X1529) @ X1529))&(((kfst @ (kpair @ X1531 @ X1532))=(X1531))&((~(in @ X1535 @ (cartprod @ X1533 @ X1534))|(in @ (kfst @ X1535) @ X1533))&((((setadjoin @ (setadjoin @ X1536 @ emptyset) @ (setadjoin @ (setadjoin @ X1536 @ (setadjoin @ X1537 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1538 @ emptyset) @ (setadjoin @ (setadjoin @ X1538 @ (setadjoin @ X1539 @ emptyset)) @ emptyset)))|((X1536)=(X1538)))&((((kpair @ X1540 @ X1541)!=(kpair @ X1542 @ X1543))|((X1540)=(X1542)))&((((X1544)!=(X1545))|((setadjoin @ X1544 @ (setadjoin @ X1545 @ emptyset))=(setadjoin @ X1544 @ emptyset)))&((((X1546)!=(X1547))|((setadjoin @ (setadjoin @ X1546 @ emptyset) @ (setadjoin @ (setadjoin @ X1546 @ (setadjoin @ X1547 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1546 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X1548 @ emptyset) @ (setadjoin @ (setadjoin @ X1548 @ (setadjoin @ X1549 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1550 @ emptyset) @ (setadjoin @ (setadjoin @ X1550 @ (setadjoin @ X1551 @ emptyset)) @ emptyset)))|(((X1550)!=(X1551))|((X1549)=(X1551))))&((((setadjoin @ X1552 @ (setadjoin @ X1553 @ emptyset))!=(setadjoin @ X1554 @ emptyset))|((X1552)=(X1553)))&((((setadjoin @ (setadjoin @ X1555 @ emptyset) @ (setadjoin @ (setadjoin @ X1555 @ (setadjoin @ X1556 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1557 @ emptyset) @ (setadjoin @ (setadjoin @ X1557 @ (setadjoin @ X1558 @ emptyset)) @ emptyset)))|((X1556)=(X1558)))&((((kpair @ X1559 @ X1560)!=(kpair @ X1561 @ X1562))|((X1560)=(X1562)))&((((in @ (esk74_1 @ X1563) @ (dsetconstr @ (setunion @ X1563) @ (^[Z0:$i]:(((X1563)=(kpair @ (kfst @ X1563) @ Z0))))))|(~(in @ X1564 @ (setunion @ X1563))|(~(in @ X1565 @ (setunion @ X1563))|((X1563)!=(setadjoin @ (setadjoin @ X1564 @ emptyset) @ (setadjoin @ (setadjoin @ X1564 @ (setadjoin @ X1565 @ emptyset)) @ emptyset))))))&(((dsetconstr @ (setunion @ X1563) @ (^[Z0:$i]:(((X1563)=(kpair @ (kfst @ X1563) @ Z0)))))=(setadjoin @ (esk74_1 @ X1563) @ emptyset))|(~(in @ X1564 @ (setunion @ X1563))|(~(in @ X1565 @ (setunion @ X1563))|((X1563)!=(setadjoin @ (setadjoin @ X1564 @ emptyset) @ (setadjoin @ (setadjoin @ X1564 @ (setadjoin @ X1565 @ emptyset)) @ emptyset)))))))&((ksnd @ (kpair @ esk75_0 @ esk76_0))!=(esk76_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_242])])])])])])])).
188.59/25.25	thf(c_0_245, plain, ![X1056:$i, X1057:$i]:(((kpair @ X1056 @ X1057)=(setadjoin @ (setadjoin @ X1056 @ emptyset) @ (setadjoin @ (setadjoin @ X1056 @ (setadjoin @ X1057 @ emptyset)) @ emptyset)))), inference(variable_rename,[status(thm)],[c_0_243])).
188.59/25.25	thf(c_0_246, negated_conjecture, ![X2:$i, X3:$i]:(((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ (esk57_2 @ X2 @ X3) @ emptyset) @ (setadjoin @ (setadjoin @ (esk57_2 @ X2 @ X3) @ (setadjoin @ (esk58_2 @ X2 @ X3) @ emptyset)) @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_244])).
188.59/25.25	thf(c_0_247, plain, ![X2:$i, X3:$i]:(((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_245])).
188.59/25.25	thf(c_0_248, plain, ![X1588:$i, X2:$i]:(((epred2_1 @ X2 @ X1588)<=>((X2)=(kpair @ (kfst @ X2) @ X1588)))), introduced(definition)).
188.59/25.25	thf(c_0_249, negated_conjecture, ![X3:$i, X2:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2))), inference(split_conjunct,[status(thm)],[c_0_244])).
188.59/25.25	thf(c_0_250, negated_conjecture, ![X2:$i, X3:$i]:(((kpair @ (esk57_2 @ X2 @ X3) @ (esk58_2 @ X2 @ X3))=(kpair @ X2 @ X3))), inference(rw,[status(thm)],[c_0_246, c_0_247])).
188.59/25.25	thf(c_0_251, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((((in @ (esk74_1 @ X2) @ (dsetconstr @ (setunion @ X2) @ (epred2_1 @ X2))))=(($true)))|~((in @ X3 @ (setunion @ X2)))|~((in @ X4 @ (setunion @ X2)))|((X2)!=(setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)) @ emptyset))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_244]), c_0_248])).
188.59/25.25	thf(c_0_252, negated_conjecture, ![X2:$i, X3:$i]:((in @ (esk57_2 @ X2 @ X3) @ (setunion @ (kpair @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_244])).
188.59/25.25	thf(c_0_253, negated_conjecture, ![X3:$i, X2:$i]:(((esk57_2 @ X2 @ X3)=(X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249, c_0_250]), c_0_249])).
188.59/25.25	thf(c_0_254, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:((((dsetconstr @ (setunion @ X2) @ (epred2_1 @ X2))=(setadjoin @ (esk74_1 @ X2) @ emptyset))|~((in @ X3 @ (setunion @ X2)))|~((in @ X4 @ (setunion @ X2)))|((X2)!=(setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)) @ emptyset))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_244]), c_0_248])).
188.59/25.25	thf(c_0_255, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk74_1 @ (kpair @ X2 @ X3)) @ (dsetconstr @ (setunion @ (kpair @ X2 @ X3)) @ (epred2_1 @ (kpair @ X2 @ X3))))|~((in @ X3 @ (setunion @ (kpair @ X2 @ X3))))|~((in @ X2 @ (setunion @ (kpair @ X2 @ X3)))))), inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_251]), c_0_247])])).
188.59/25.25	thf(c_0_256, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (kpair @ X2 @ X3)))), inference(rw,[status(thm)],[c_0_252, c_0_253])).
188.59/25.25	thf(c_0_257, negated_conjecture, ![X3:$i, X2:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)) @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_244])).
188.59/25.25	thf(c_0_258, plain, ![X1055:$i]:(((ksnd @ X1055)=(setunion @ (dsetconstr @ (setunion @ X1055) @ (^[Z0:$i]:(((X1055)=(kpair @ (kfst @ X1055) @ Z0)))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ksnd])])).
188.59/25.25	thf(c_0_259, negated_conjecture, ![X2:$i, X3:$i]:((((dsetconstr @ (setunion @ (kpair @ X2 @ X3)) @ (epred2_1 @ (kpair @ X2 @ X3)))=(setadjoin @ (esk74_1 @ (kpair @ X2 @ X3)) @ emptyset))|~((in @ X3 @ (setunion @ (kpair @ X2 @ X3))))|~((in @ X2 @ (setunion @ (kpair @ X2 @ X3)))))), inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_254, c_0_247])])).
188.59/25.25	thf(c_0_260, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk74_1 @ (kpair @ X2 @ X3)) @ (dsetconstr @ (setunion @ (kpair @ X2 @ X3)) @ (epred2_1 @ (kpair @ X2 @ X3))))|~((in @ X3 @ (setunion @ (kpair @ X2 @ X3)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255, c_0_256])])).
188.59/25.25	thf(c_0_261, negated_conjecture, ![X3:$i, X2:$i]:((in @ X2 @ (setunion @ (kpair @ X3 @ X2)))), inference(rw,[status(thm)],[c_0_257, c_0_247])).
188.59/25.25	thf(c_0_262, plain, ![X1058:$i]:(((ksnd @ X1058)=(setunion @ (dsetconstr @ (setunion @ X1058) @ (^[Z0:$i]:(((X1058)=(kpair @ (kfst @ X1058) @ Z0)))))))), inference(variable_rename,[status(thm)],[c_0_258])).
188.59/25.25	thf(c_0_263, negated_conjecture, ![X2:$i, X3:$i]:((((dsetconstr @ (setunion @ (kpair @ X2 @ X3)) @ (epred2_1 @ (kpair @ X2 @ X3)))=(setadjoin @ (esk74_1 @ (kpair @ X2 @ X3)) @ emptyset))|~((in @ X3 @ (setunion @ (kpair @ X2 @ X3)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_259, c_0_256])])).
188.59/25.25	thf(c_0_264, plain, ![X1594:$i, X1595:$i]:(((~(epred2_1 @ X1595 @ X1594)|((X1595)=(kpair @ (kfst @ X1595) @ X1594)))&(((X1595)!=(kpair @ (kfst @ X1595) @ X1594))|(epred2_1 @ X1595 @ X1594)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])).
188.59/25.25	thf(c_0_265, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((X1 @ X2)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_244])).
188.59/25.25	thf(c_0_266, negated_conjecture, ![X2:$i, X3:$i]:((in @ (esk74_1 @ (kpair @ X2 @ X3)) @ (dsetconstr @ (setunion @ (kpair @ X2 @ X3)) @ (epred2_1 @ (kpair @ X2 @ X3))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_260, c_0_261])])).
188.59/25.25	thf(c_0_267, plain, ![X2:$i]:(((ksnd @ X2)=(setunion @ (dsetconstr @ (setunion @ X2) @ (epred2_1 @ X2))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_262]), c_0_248])).
188.59/25.25	thf(c_0_268, negated_conjecture, ![X2:$i, X3:$i]:(((dsetconstr @ (setunion @ (kpair @ X2 @ X3)) @ (epred2_1 @ (kpair @ X2 @ X3)))=(setadjoin @ (esk74_1 @ (kpair @ X2 @ X3)) @ emptyset))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_263, c_0_261])])).
188.59/25.25	thf(c_0_269, negated_conjecture, ![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2))), inference(split_conjunct,[status(thm)],[c_0_244])).
188.59/25.25	thf(c_0_270, negated_conjecture, ![X2:$i, X3:$i, X4:$i, X5:$i]:((((X3)=(X5))|((kpair @ X2 @ X3)!=(kpair @ X4 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_244])).
188.59/25.25	thf(c_0_271, plain, ![X2:$i, X3:$i]:((((X2)=(kpair @ (kfst @ X2) @ X3))|~((epred2_1 @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_264])).
188.59/25.25	thf(c_0_272, negated_conjecture, ![X2:$i, X3:$i]:((epred2_1 @ (kpair @ X2 @ X3) @ (esk74_1 @ (kpair @ X2 @ X3)))), inference(spm,[status(thm)],[c_0_265, c_0_266])).
188.59/25.25	thf(c_0_273, negated_conjecture, ![X2:$i, X3:$i]:(((esk74_1 @ (kpair @ X2 @ X3))=(ksnd @ (kpair @ X2 @ X3)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267, c_0_268]), c_0_269])).
188.59/25.25	thf(c_0_274, plain, ![X2:$i, X4:$i, X3:$i]:((((X2)=(X3))|~((epred2_1 @ (kpair @ X4 @ X2) @ X3)))), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_270, c_0_271])])).
188.59/25.25	thf(c_0_275, negated_conjecture, ![X2:$i, X3:$i]:((epred2_1 @ (kpair @ X2 @ X3) @ (ksnd @ (kpair @ X2 @ X3)))), inference(rw,[status(thm)],[c_0_272, c_0_273])).
188.59/25.25	thf(c_0_276, negated_conjecture, ((ksnd @ (kpair @ esk75_0 @ esk76_0))!=(esk76_0)), inference(split_conjunct,[status(thm)],[c_0_244])).
188.59/25.25	thf(c_0_277, negated_conjecture, ![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3))), inference(spm,[status(thm)],[c_0_274, c_0_275])).
188.59/25.25	thf(c_0_278, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_276, c_0_277])]), ['proof']).
188.59/25.25	% SZS output end CNFRefutation
188.59/25.25	% Parsed axioms                        : 383
188.59/25.25	% Removed by relevancy pruning/SinE    : 0
188.59/25.25	% Initial clauses                      : 541
188.59/25.25	% Removed in clause preprocessing      : 228
188.59/25.25	% Initial clauses in saturation        : 313
188.59/25.25	% Processed clauses                    : 7584
188.59/25.25	% ...of these trivial                  : 255
188.59/25.25	% ...subsumed                          : 4824
188.59/25.25	% ...remaining for further processing  : 2505
188.59/25.25	% Other redundant clauses eliminated   : 202
188.59/25.25	% Clauses deleted for lack of memory   : 0
188.59/25.25	% Backward-subsumed                    : 91
188.59/25.25	% Backward-rewritten                   : 183
188.59/25.25	% Generated clauses                    : 121413
188.59/25.25	% ...of the previous two non-redundant : 104753
188.59/25.25	% ...aggressively subsumed             : 0
188.59/25.25	% Contextual simplify-reflections      : 16
188.59/25.25	% Paramodulations                      : 121046
188.59/25.25	% Factorizations                       : 10
188.59/25.25	% NegExts                              : 120
188.59/25.25	% Equation resolutions                 : 206
188.59/25.25	% Disequality decompositions           : 0
188.59/25.25	% Total rewrite steps                  : 29115
188.59/25.25	% ...of those cached                   : 25541
188.59/25.25	% Propositional unsat checks           : 0
188.59/25.25	%    Propositional check models        : 0
188.59/25.25	%    Propositional check unsatisfiable : 0
188.59/25.25	%    Propositional clauses             : 0
188.59/25.25	%    Propositional clauses after purity: 0
188.59/25.25	%    Propositional unsat core size     : 0
188.59/25.25	%    Propositional preprocessing time  : 0.000
188.59/25.25	%    Propositional encoding time       : 0.000
188.59/25.25	%    Propositional solver time         : 0.000
188.59/25.25	%    Success case prop preproc time    : 0.000
188.59/25.25	%    Success case prop encoding time   : 0.000
188.59/25.25	%    Success case prop solver time     : 0.000
188.59/25.25	% Current number of processed clauses  : 2182
188.59/25.25	%    Positive orientable unit clauses  : 395
188.59/25.25	%    Positive unorientable unit clauses: 1
188.59/25.25	%    Negative unit clauses             : 239
188.59/25.25	%    Non-unit-clauses                  : 1547
188.59/25.25	% Current number of unprocessed clauses: 96349
188.59/25.25	% ...number of literals in the above   : 346337
188.59/25.25	% Current number of archived formulas  : 0
188.59/25.25	% Current number of archived clauses   : 303
188.59/25.25	% Clause-clause subsumption calls (NU) : 292444
188.59/25.25	% Rec. Clause-clause subsumption calls : 176719
188.59/25.25	% Non-unit clause-clause subsumptions  : 3441
188.59/25.25	% Unit Clause-clause subsumption calls : 45684
188.59/25.25	% Rewrite failures with RHS unbound    : 0
188.59/25.25	% BW rewrite match attempts            : 859
188.59/25.25	% BW rewrite match successes           : 117
188.59/25.25	% Condensation attempts                : 7584
188.59/25.25	% Condensation successes               : 105
188.59/25.25	% Termbank termtop insertions          : 2263075
188.59/25.25	% Search garbage collected termcells   : 17213
188.59/25.25	
188.59/25.25	% -------------------------------------------------
188.59/25.25	% User time                : 23.641 s
188.59/25.25	% System time              : 0.847 s
188.59/25.25	% Total time               : 24.488 s
188.59/25.25	% Maximum resident set size: 7336 pages
188.59/25.25	
188.59/25.25	% -------------------------------------------------
188.59/25.25	% User time                : 23.652 s
188.59/25.25	% System time              : 0.857 s
188.59/25.25	% Total time               : 24.509 s
188.59/25.25	% Maximum resident set size: 4864 pages
188.59/25.25	% E exiting
188.59/25.25	EOF